how is it possible that all proportional relationships are linear functions but not all linear functions are proportional relationships

Answers

Answer 1

Step-by-step explanation:

A line that passes through the origin is proportional (y = mx).  But a line that doesn't pass through the origin isn't proportional (y = mx + b).  So all proportional relationships are linear, but not all linear relationships are proportional.

Answer 2

proportional relationship is just a linear relationship where the line passes through the origin (0, 0).


Related Questions

In a grocery store’s circular, it states that plant-based meatless ground beef is on sale for $5.99/lb. If you buy a package that weighs 2.37 lbs, how much did it cost (round to the nearest cent)?

Answers

The cost of package is $14.20

Step-by-step explanation:

Given,

Cost per pound of groundless beef = $5.99

Weight of package bought = 2.37 lbs

Cost of package = Cost per pound of beef * Weight of package

Cost of package = 5.99 * 2.37

Cost of package = $14.1963

Rounding off to nearest cent

Cost of package = $14.20

The cost of package is $14.20

Keywords: multiplication

Learn more about multiplication at:

brainly.com/question/11280112brainly.com/question/11286417

#LearnwithBrainly


Farmer Jones has 140 feet of fencing to construct a rectangular corral.
If x represents the width of the corral, which function can be used to express the area A of
the corral as a function of x?
A. A(x) = 70x
B. A(x) = x(70 - X)
C. A(x) = x(140 - X)
D. A(X) = X(140 - 2x)​

Answers

B.A(x)=x(70- X)

On e
Final answer:

The correct function to express the area of the rectangular corral as a function of its width, given a fixed amount of fencing, is A(x) = x(70 - x).

Explanation:

The student is asking about expressing the area of a rectangular corral as a function of its width when a fixed amount of fencing is used. Given that Farmer Jones has 140 feet of fencing to construct the corral and the width is represented by x, the perimeter of the rectangle is twice the sum of its width and length.

Therefore, if x is the width, the length will be (140 - 2x)/2 or 70 - x. We can then express the area A as a function of x by multiplying the width by the length, leading to the function A(x) = x(70 - x).

Explain how to prepare, use and review a budget.

Answers

Answer:

Use a spreadsheet.

Step-by-step explanation:

If you mean a household budget you could use a spreadsheet.

The columns would be  months and the rows would be  items of expenditure and income.

You use  formulae ( provided by the spreadsheet)  to  do additions, subtractions and so on.

Prolly has the right answer

A ball is thrown vertically from the top of a building. The height of the ball after t seconds can be given by the function s(t)= -0.1(t-2)^2 + 10
meters. What is the estimated instantaneous velocity of the ball after 4 seconds.

Answers

The instantaneous velocity of the ball after 4 seconds is -0.4 m/s

Step-by-step explanation:

If f(x) is the function which represents the distance that a particle moves after x seconds, with velocity v and acceleration a, then

v(x) = f'(x) ⇒ first derivativea(x) = f"(x) ⇒ second derivative

∵ A ball is thrown vertically from the top of a building

∵ The height of the ball after t seconds can be given by the

   function s(t)= -0.1(t -2)² + 10

- To find the function of the velocity differentiate s(t)

∵ s(t) = -0.1(t - 2)² + 10

- Solve the bracket

∵ (t - 2)² = t² - 4t + 4

∴ s(t) = -0.1(t² - 4t + 4) + 10

- Multiply the bracket by -0.1

∴ s(t) = -0.1t² + 0.4t - 0.4 + 10

- Add the like terms

∴ s(t) = -0.1 t² + 0.4t + 9.6

Now let us differentiate s(t)

∵ s'(t) = -0.1(2)t + 0.4(1)

∴ s'(t) = -0.2t + 0.4

- s'(t) is the function of velocity after time t seconds

∵ s'(t) = v(t)

∴ v(t) = -0.2t + 0.4

We need to find the instantaneous velocity of the ball after 4 seconds

Substitute t by 4

∴ v(4) = -0.2(4) + 0.4

∴ v(4) = -0.8 + 0.4

∴ v(4) = -0.4

∴ The v is -0.4 m/s ⇒ -ve means the velocity is downward

The instantaneous velocity of the ball after 4 seconds is -0.4 m/s

Learn more:

You can learn more about the instantaneous velocity in brainly.com/question/2234298

#LearnwithBrainly

Final answer:

To determine the estimated instantaneous velocity of the ball after 4 seconds, calculate the derivative of the height function s(t) and evaluate it at t = 4 seconds to find the velocity of -0.2 m/s.

Explanation:

The estimated instantaneous velocity of the ball after 4 seconds can be found by calculating the derivative of the height function s(t) with respect to time t, which gives the velocity function v(t) = -0.2(t - 2). Evaluating this at t = 4 seconds, we get a velocity of -0.2 m/s.

Which of the following is the midpoint of the line segment with endpoints - 3 and 2?
Choose the correct answer below.
O A. 1
a
OB. -1
min
ת |
DE
2

Answers

Answer:

-1/2.

Step-by-step explanation:

( - 3 + 2) / 2

= -1 / 2.

Final answer:

The midpoint of a line segment with endpoints -3 and 2 is -0.5. This is calculated by adding the endpoints and dividing by 2.

Explanation:

The midpoint of a line segment is the average of its endpoints. We can find it by adding the two endpoints and dividing by 2. So, for the line segment with endpoints -3 and 2, we would calculate

(-3 + 2) / 2

The answer to this calculation is -0.5. Therefore, the midpoint of the line segment with endpoints -3 and 2 is -0.5.

Learn more about Midpoint here:

https://brainly.com/question/33812804

#SPJ2

Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?

Answers

Answer

Tina is 21, t-3

Step-by-step explanation:

Cole is 18, we don't really need that so just ignore it. Cole is 3 years younger than Tina. Therefore T which is Tina's age, minus 3 would equal Cole's age of 18.

Answer:

a

Step-by-step explanation:

Which point is the solution to the following system of equations?
x² + y² = 13
2x- y=4
(-2, -3)
(-3, -2)
(2,3)
(3, 2)​

Answers

The point (3, 2) is the solution to given system of equations

Solution:

Given that system of equations are:

[tex]x^2 + y^2 = 13[/tex]    ------ eqn 1

[tex]2x - y = 4[/tex]    ------- eqn 2

From eqn 2,

y = 2x - 4

Substitute y = 2x - 4 in eqn 1

[tex]x^2 + (2x - 4)^2 = 13\\\\x^2 + 4x^2 + 16 - 16x = 13\\\\5x^2 -16x + 3 = 0[/tex]

Let us solve the above equation by quadratic formula,

[tex]\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

Using the Quadratic Formula for [tex]5x^2 -16x + 3 = 0[/tex] where  a = 5, b = -16, and c = 3

[tex]\begin{aligned}&x=\frac{-(-16) \pm \sqrt{(-16)^{2}-4(5)(3)}}{2 \times 5}\\\\&x=\frac{16 \pm \sqrt{256-60}}{10}\\\\&x=\frac{16 \pm \sqrt{196}}{10}\end{aligned}[/tex]

The discriminant [tex]b^2 - 4ac>0[/tex] so, there are two real roots.

[tex]\begin{aligned}&x=\frac{16 \pm \sqrt{196}}{10}=\frac{16 \pm 14}{10}\\\\&x=\frac{16+14}{10} \text { or } \frac{16-14}{10}\\\\&x=\frac{30}{10} \text { or } x=\frac{2}{10}\\\\&x=3 \text { or } x=0.2\end{aligned}[/tex]

Substitute for x = 0.2 and x = 3 in 2x - y = 4

when x = 3

2(3) - y = 4

6 - y = 4

y = 2

when x = 0.2

2(0.2) - y = 4

0.4 - y = 4

y = 0.4 - 4

y = -3.6

Thus Option D is correct The point is (3, 2)

A diesel train left Washington and traveled
toward Johannesburg at an average speed of
52 mph. A cattle train left two hours later
and traveled in the same direction but with
an average speed of 60 mph. Find the
number of hours the diesel train traveled
before the cattle train caught up.

Answers

The number of hours the diesel train traveled  before the cattle train caught up is 15 hours

Solution:

Let t = travel time of the diesel train

Then  (t - 2) is the travel time of the cattle train (Left 2 hrs later)

Average speed of diesel train = 52 mph

Average speed of cattle train = 60 mph

To find: number of hours the diesel train traveled  before the cattle train caught up

Distance = speed x time

Distance traveled by diesel train:

Distance = 52 x t = 52t

Distance traveled by cattle train:

Distance = 60 x (t - 2) = 60t - 120

When the cattle train catches the diesel, they will have traveled the

same distance

Distance traveled by diesel train = Distance traveled by cattle train

52t = 60t - 120

60t - 52t = 120

8t = 120

t = 15

Thus the number of hours the diesel train traveled  before the cattle train caught up is 15 hours

There are 7 red lights and for every 1 red light there are 9 blue lights. How many lights in all?

Answers

Answer:

70

Step-by-step explanation:

We can rewrite the phrase for every '1 red light there are 9 blue lights' as there are 9 blue lights for every red, which may make it slightly clearer.

If there are 7 red lights, and 9 blues for every red, then there are 7*9 blue lights, or 63 blue lights. Now we can add the red and blue lights; 63+7=70, so there are 70 lights in all.

Answer:

70

Step-by-step explanation:

How many groups of 3/4 are in 11/4 and 6 1/2? Please put it in explanation.

Answers

Answer: 12 1/3

Step-by-step explanation:

First, you need to add up 11/4 and

6 1/2

11/ 4 + 6 1/2 = 11/4 + 13/2 = 37 / 4

To find how many 3/4 we have in 37/4, we simply dividw 37/4 by 3/4

37/4 ÷ 3/4

= 37/4 × 4/3 (4 will cancel out 4)

= 37/3

=12 1/3

The number of groups of 3/4 that are in 11/4 and 6 1/2 is 3 2/3 and 8 2/3 respectively.

Firstly, in order to know the number of groups of 3/4 that are in 11/4, we have to divide 11/4 by 3/4 and this will be:

= 11/4 ÷ 3/4

= 11/4 × 4/3

= 11/3

= 3 2/3

Secondly, in order to know the number of groups of 3/4 that are in 6 1/2, we have to divide 6 1/2 by 3/4 and this will be:

= 6 1/2 ÷ 3/4

= 13/2 ÷ 3/4

= 13/2 × 4/3

= 8 2/3

Therefore, the number of groups of 3/4 that are in 11/4 and 6 1/2 are 3 2/3 and 8 2/3 respectively.

Read related link on:

https://brainly.com/question/14297045

Given constraints: x>=0, y>=0, 2x+2y>=4, x+y<=8 explain the steps for maximizing the objective function P=3x+4y.

Answers

Answer:

The maximum value of P is 32

Step-by-step explanation:

we have following constraints

[tex]x\geq 0[/tex] ----> constraint A

[tex]y\geq 0[/tex] ----> constraint B  

[tex]2x+2y\geq 4[/tex] ----> constraint C

[tex]x+y\leq 8[/tex] ----> constraint D

Solve the feasible region by graphing

using a graphing tool

The vertices of the feasible region are

(0,2),(0,8),(8,0),(2,0)

see the attached figure

To find out the maximum value of the objective function P, substitute the value of x and the value of y of each vertex of the feasible region in the objective function P and then compare the results

we have

[tex]P=3x+4y[/tex]

so

For (0,2) ---> [tex]P=3(0)+4(2)=8[/tex]

For (0,8) ---> [tex]P=3(0)+4(8)=32[/tex]

For (8,0) ---> [tex]P=3(8)+4(0)=24[/tex]

For (2,0) ---> [tex]P=3(2)+4(0)=6[/tex]

therefore

The maximum value of P is 32

Answer:

Graph the inequalities given by the set of constraints. Find points where the boundary lines intersect to form a polygon. Substitute the coordinates of each point into the objective function and find the one that results in the largest value.

Step-by-step explanation:

the sample answer

Bao can eat
12 chicken wings in 3 minutes. She eats the chicken wings at a constant rate.

Answers

Answer:

48  chicken wings in 12 minutes.

Step-by-step explanation:

Answer:

4 chicken wings per minute

Step-by-step explanation:

12/3=4

Jamel bought 2 pounds of red apples and 3.2 pounds of green apples from the grocery store, where both kinds of apples are $1.65 a pound. How munch did Jamel spend on apples?

Answers

Answer with Step-by-step explanation:

Jamel' spend on apples

= Jamel' spend on Green apples + on Red apples

= Cost per pound of apples *( Pounds of green apples + Pounds of red apples)

= 1.65*(2+3.2)

= 1.65*5.2

= $8.58

Answer: $8.58 is Jamel' total spend on apples.


12. The table shows the number of people who attended a
new movie over the course of a week. Graph the
relationship on the coordinate plane.
Attendance
(thousands)
Day
Attendance
1 3
12,200 12,600
5 7
13,000 13,400
1 2
3
6
7
8 x
4 5
Day
If the pattern shown in the graph continues, how many
people will attend the new movie on the 8th day?​

Answers

Answer:

1. See the graph attached

2. 13,400 thousands people will attend the new movie on the 8th day, if the pattern shown in the graph continues.

Explanation:

The table that shows the number of people who attend a new movie ofver teh course of a week is:

Day   Attendance (thousands)

1          12,200

3         12,600

5         13,000

7         13,400

8              x

The graph showing that pattern is attached.

It is a discrete graph because days can take only positive integer values.

You can see that the relation is linear and can calculate the change in the number of people every two days by subracting any two consecutive pairs of data:

12,600 - 12,200 = 40013,000 - 12,600 = 40013,400 - 13,000 = 400

Hence, every two days the increase in the number of people is 400 thousands.

For one day the increase is: 400 thousands / 2 days = 200 thousands/day.

Since you know the attendance for the day 7, you can calculate the attendance for the day 8 adding 200 thousands to 13,400:

13,400 thousands + 200 thousands = 13,600 thousands.

Cherries cost ​$4​/lb. Grapes cost ​$2.50​/lb. You can spend no more than ​$15 on​ fruit, and you need at least 5 lb in all. Create a graph showing the amount of each fruit you can buy.

Answers

Answer:

The quantity of cherries bought is 1.67 lb

The quantity of grapes bought is 3.33 lb

Step-by-step explanation:

Given as :

The cost of cherries = $4 per lb

The cost of grapes = $2.50 per lb

Total money spend on fruits = $15

The quantity of both fruits to bought = 5  lb

Let The quantity of cherries bought = c  lb

Let The quantity of grapes bought = g    lb

Now, According to question

quantity of both fruits to bought = quantity of cherries bought + quantity of grapes bought

i.e c + g = 5 lb              ........1

And

Total money spend on fruits = cost of cherries × quantity of cherries bought + cost of grapes × quantity of grapes bought

Or , c   lb ×  $4 per lb +  g  lb  ×  $2.50 per lb = $15

Or, 4 c + 2.50 g = 15           .......2

Now, Solving equation 1 and 2

So, (4 c + 2.50 g) - 2.50 × (c + g) = 15 - 5 × 2.50

Or, (4 c - 2.50 c) + (2.50 g - 2.50 g) = 15 - 12.50

Or, 1.5 c + 0 = 2.5

∴ c = [tex]\dfrac{2.5}{1.5}[/tex]

I.e c = 1.67  lb

So, The quantity of cherries bought = c  = 1.67 lb

Putting the value of c in eq 1

Since , c + g = 5  lb

Or, g = 5  lb - c

Or, g = 5  lb - 1.67  lb

i.e  g = 3.33  lb

So, The quantity of grapes bought = g  = 3.33 lb

Hence, The quantity of cherries bought is 1.67 lb

and The quantity of grapes bought is 3.33 lb   Answer

Select the correct answer.
The revenue function of a company that sells gaming consoles is R(x) = 6x2 + 100x + 300. The cost function is CX) = 25x + 100. Which function
describes the profit function of the company?
A. PX) = 6x2 + 75x + 200
B. Pax) = 100x2 - 6x2
oc. P(x) = 75x² - 6x²
D. PlX= 6x + 200

Answers

Option A: 6x^2+75x+200 is the correct answer

Step-by-step explanation:

The profit is obtained by subtracting the cost from the revenue.

Given

[tex]R(x) = 6x^2+100x+300\\C(x) = 25x+100[/tex]

The Profit function will be obtained by subtracting the cost function from the revenue function

So,

[tex]P(x) = R(x) - C(x)\\= (6x^2+100x+300)-(25x+100)\\=6x^2+100x+300-25x-100\\=6x^2+100x-25x+300-100\\P(x)=6x^2+75x+200[/tex]

Hence,

Option A: 6x^2+75x+200 is the correct answer

Keywords: Functions, function operations

Learn more about functions at:

brainly.com/question/982457brainly.com/question/9817377

#LearnwithBrainly

An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if points A and D belong to the x−axis and m∠BAD=60°

Answers

Answer:

The value of a = ±(√3)/(6)

Step-by-step explanation:

Points A and D belong to the x−axis.

All vertices on the parabola y = a (x+1)(x−5) = a (x² - 4x - 5)

So, points A and D represents the x-intercept of the parabola y

To find x-intercept, put y = 0

∴ a (x+1)(x−5) = 0  ⇒ divide both sides by a

∴ (x+1)(x−5) = 0 ⇒ x = -1 or x = 5

so, the x-coordinate of Point A is -1 or 5

And given that: m∠BAD=60°

So, the tangential line of the parabola at point A has a slope of 60°

∴ y' = tan 60° = √3

∴ y' = a (2x-4)

∴ a (2x-4) = √3

∴ a = (√3)/(2x-4)

Substitute with x = -1 ⇒ a = (√3)/(-6)

Substitute with x = 5 ⇒ a = (√3)/(6)

So, The value of a = ±(√3)/(6)

Also, see the attached figure, it represents the problem in case of a = (√3)/(-6)

Answer:

Step-by-step explanation:

[tex]a=+(3+9\sqrt{3})/52\\ a=-(3+9\sqrt{3})/52\\[/tex]

2. 18m - 7+ 12m help plz

Answers

Answer: 30m - 7

Step-by-step explanation:

combine the two m's (:

Answer:

30m-7

Step-by-step explanation:

18m-7+12m=30m-7

Suppose about 900,000 people live in an area of 1,800 square miles. What is the best estimate for the population density?

Answers

Answer:

The Population Density is [tex]500\ People/mi^2[/tex].

Step-by-step explanation:

Given,

Total number of People = 900,000

Total Land Area = 1800 sq. mi.

Solution,

For calculating the population density, we have to divide the total number of people by the area of the land.

This can be framed in equation form'

[tex]Population\ Density=\frac{Total\ Number\ of\ People}{Land\ Area}[/tex]

Now putting the given values, we get;

[tex]Population\ Density=\frac{900,000}{1800\ mi^2}=500\ People/mi^2[/tex]

Hence The Population Density is [tex]500\ People/mi^2[/tex].


Gerald has 10 cards, numbered 1-10. He shuffles the cards and fans them out on a table.
He will randomly draw one card from the deck.
Determine if the following statements are true or false
1. it is likely that the card greater then 6 will be drawn true or false
2. it is unlikely that a card that is a multiple of 3 will be drawn true or false 3. it is certain that a card with an even or odd number will be drawn. true or false 4. it is unlikely that a card with a number less than 8 will be drawn .

Answers

Answer:

1- false; 2- true; 3- true; 4-false

Final answer:

The statements about drawing a card higher than 6 and certain to draw an even or odd number are true. It's false that drawing a multiple of 3 is unlikely and that drawing a card less than 8 is unlikely.

Explanation:

The question involves determining the likelihood of drawing a specific card from a shuffled deck of 10 cards numbered 1-10. Let's assess each of the four statements provided.

Card greater than 6: There are 4 cards greater than 6 (7, 8, 9, 10), so the probability is 4 out of 10 or 0.4. This means it is likely, making the statement true.

Multiple of 3: There are 3 multiples of 3 (3, 6, 9), so the probability is 3 out of 10 or 0.3. This is less than half, but not very small, so the statement is subjective; however, we would not generally describe a 30% chance as 'unlikely', hence the statement might be considered false.

Even or odd number: Every card is either even or odd, so it is certain that an even or odd card will be drawn, making the statement true.

Number less than 8: There are 7 cards less than 8 (1 through 7), so the probability is 7 out of 10 or 0.7. This means it's more likely to draw a card less than 8, which means the statement is false.

Write as a monomial in standard form (−4x^2ya^3)^2
Please help fellow RSM students my teacher will kill me if I don't get this right :)

Answers

The expression [tex]\((-4x^2ya^3)^2\)[/tex] written as a monomial in standard form is [tex]\(16x^4y^2a^6\)[/tex].

To write the expression [tex]\((-4x^2ya^3)^2\)[/tex] as a monomial in standard form, you need to apply the exponent to each term inside the parentheses.

Remember that when raising a power to another power, you multiply the exponents.

[tex]\((-4x^2ya^3)^2\)[/tex] means you square each term inside:

[tex]\[ (-4)^2 \cdot (x^2)^2 \cdot (y)^2 \cdot (a^3)^2 \][/tex]

Now, perform the operations:

[tex]\[ 16 \cdot x^{2 \cdot 2} \cdot y^{2 \cdot 1} \cdot a^{3 \cdot 2} \][/tex]

Simplify the exponents:

[tex]\[ 16 \cdot x^4 \cdot y^2 \cdot a^6 \][/tex]

So, [tex]\((-4x^2ya^3)^2\)[/tex] written as a monomial in standard form is [tex]\(16x^4y^2a^6\)[/tex].

Final Answer:

for a³, when squared, it becomes [tex]a^(3*2) = a^6.[/tex] Thus, the simplified expression is [tex]16x^4y^2a^6[/tex]

Explanation:

To simplify the expression[tex](-4x^2ya^3)^2[/tex], apply the power rule, squaring each term within the parentheses. First, square the coefficients: (-4)² = 16. Then, square the variables inside the parentheses. For x², when raised to the power of 2, it becomes[tex]x^(2*2) = x^4.[/tex] For y^1, when squared, it becomes [tex]y^(1*2) = y^2[/tex]. Finally, for [tex]a^3,[/tex] when squared, it becomes a^(3*2) = a^6. Thus, the simplified expression is [tex]16x^4y^2a^6[/tex]

To simplify the expression[tex](-4x^2ya^3)^2,[/tex]start by understanding the exponent rule when raising a power to another power. Applying this rule, square the entire expression inside the parentheses:[tex](-4x^2ya^3)^2.[/tex]Begin by squaring the coefficient[tex](-4)^2,[/tex] resulting in 16. Then, square each variable term. For[tex]x^2,[/tex] when squared, it becomes[tex]x^(2*2) = x^4.[/tex]The y term, which is effectively[tex]y^1,[/tex]squared yields[tex]y^(1*2) = y^2.[/tex]Lastly, a^3, when squared, becomes [tex]a^(3*2) = a^6.[/tex]Therefore, combining the simplified coefficients and variables, the final answer is[tex]16x^4y^2a^6.[/tex]

Clayton wants to purchase tickets for the rides at a carnival. He can choose to purchase tickets individually, or he can purchase a ticket package. The package includes 25 tickets tickets for $18.75. Determine the cost per ticket If he purchases the package

Answers

The cost per ticket is $0.75 if Clayton purchases the package.

Step-by-step explanation:

Given,

Cost of package = $18.75

Tickets in package = 25 tickets

To determine the cost of one ticket, we will divide the cost of package with number of tickets in package.

Cost per ticket = [tex]\frac{18.75}{25}[/tex]

Cost per ticket = $0.75

The cost per ticket is $0.75 if Clayton purchases the package.

Keywords: division, unit rate

Learn more about division at:

brainly.com/question/1542657brainly.com/question/1548911

#LearnwithBrainly

Please help me no one even bothers to help so plzzzz i BEGGGGGGGGGGG

Answers

Answer:

Here's what I get.

Step-by-step explanation:

When you dilate an object by a scale factor, you multiply its coordinates by the same number.

If the scale factor is 4, the rule is (x, y) ⟶ (4x, 4y)

Your table then becomes

[tex]\begin{array}{lcl}\textbf{Vertices of}& \, & \textbf{Vertices of}\\\textbf{VWXY}& \, & \textbf{V'W'X'Y'}\\V(-1 ,1) & \quad & V'(-4, 4)\\W(-1, 2) & \quad & W'(-4, 8)\\X(2, -1) & \quad & X'(8 ,-4)\\Y(2, 2) & \quad & Y'(8, 8)\\\end{array}[/tex]

The diagram below shows figure VVXY as a green bow-tie and its image V'W'X'Y' in orange.

The scale factor is greater than one, so the dilation is an enlargement.

77.86 divided by 0.85

Answers

Answer:

91.6

Step-by-step explanation:

Answer:91.6

Step-by-step explanation:

There are 500 rabbits in Lancaster on February 1st. If the amount of rabbits triples every month. Write a function that represents the number of rabbits in Lancaster after “m” months. How many rabbits are there in Lancaster on August 1st?

Please explain

Answers

Answer:

10,93,500.

Step-by-step explanation:

On first February total number of rabbits were 500.

Now it is given that after each month rabbit population will become triple of initial.

So, after one month rabbits will become 3×500.

After two months they will become [tex]3^{2}[/tex]×500.

Thus , after m months total number of rabbits will become [tex]3^{m}[/tex]×500.

Now,

On August 1 , 7 months will get passed from February 1 so putting m = 7 in the equation we get ,

Total number of rabbits = [tex]3^{7}[/tex]×500 = 10,93,500.

Final answer:

The function that represents the number of rabbits is f(m) = 500 * 3^m. Replacing m with 6, which represents the 6 months from February 1st to August 1st, we get that there would be 145800 rabbits in Lancaster on August 1st.

Explanation:

This question is about an exponential function, specifically a geometric sequence, where each term is tripled to get the next. The general form of an exponential function is f(m) = ab^m, where a is the initial amount, b is the rate of growth, and m is the time period.

In this case, the initial amount (a) of rabbits is 500, the rate of growth (b) is 3 (as the population triples every month), and m represents the months passed. Hence, the function relating to the rabbit population becomes f(m) = 500 * 3^m.

For the rabbit population on August 1st, we have to consider that February 1st to August 1st is 6 months. Thus, replacing m with 6 in our function: f(6) = 500 * 3^6, which equals 145800, so there would be 145800 rabbits in Lancaster on August 1st.

Learn more about Exponential function here:

https://brainly.com/question/15352175

#SPJ3

Solve -9(t - 2) = 4(t – 15).
The solution is t=

Answers

Answer: t = 6

Step-by-step explanation: First we solve for -9(t-2) and that comes out to be -9t + 18. Then we solve for 4(t-15) which comes out to be 4t - 60. So the new equation we have is -9t + 18 = 4t - 60. In order to solve for t, we need to get t on one side of the problem by itself. To do this we will first add 9t to both sides and it comes out to be 18 = 13t - 60. t is still not by itself so now we add 60 to both sides and that gives us 78 = 13t. t is still not by itself so now we need to divide each side by 13 so that variable t is by itself. When we divide both sides by 13 we get 6 = t.

Answer:

6

Step-by-step explanation:

-9t + 18 = 4(t-15)

-9 +18 = 4t - 60

-9t = 4t-60-18

-9t = 4t - 78

-9 - 4 = -78

-13 = -78t =

t = -78/-13

t = 6

the domain of the relation is

Answers

The domain of a relation is the set of all the x-terms of the relation.

Let's look at an example.

In the image provided I have attached a relation and we want to list the domain.

So, I will list all the x-terms. Notice however that I listed 7 once even though it appears twice in the relation. When listing the domain, you don't repeat the x-terms.

how do i solve this?

Answers

Hint:

Diameter(d)= 2 radius(r)

circumference= 2πr= πd

1. diameter= 19 × 2 = 38 inches

circumference= 3.18(38) = 119 inches (3 s.f.)

Note that I use 3.18 instead of π because the question states to use 3.14 for π.

Likewise, if you are given the diameter, divide it by 2 to find radius. Let's try a question which only gives you the diameter.

4. radius= 22 ÷ 2 = 11cm

circumference= 3.14(22) = 69.1cm (3 s.f.)

Help, how would I get my answer for this question?

Answers

Answer:

[tex](-4,32)[/tex]

Step-by-step explanation:

Given points are [tex](-1,-8)[/tex]

And given transformation is [tex]D_4[/tex] [tex]r_{x-axis}[/tex]

We will start from left to right.

First transformation is reflection about x-axis.

When we reflect about x-axis [tex](x,y)\ became\ (x,-y)[/tex]

So, [tex](-1,-8)=[-1,-(-8)]=(-1,8)[/tex]

Now next transformation is dilation with a factor 4.

If we do dilation with a factor [tex]'k'[/tex] to the point [tex](x,y)[/tex]

New co-ordinates after dilation became [tex](kx,ky)[/tex]

So, [tex](-1,8)\ became\ (-4,32)[/tex]

I need help on this asap!!!!!!!!!!!!!!!!!!!

Answers

The function which is created by shifting the graph of function f up 5 units is  [tex]f(x)=4^x-1[/tex]

So, Option A is correct.

Step-by-step explanation:

We are given function: [tex]f(x)=4^x-6[/tex]

We need to determine the function which is created by shifting the graph of function f up 5 units.

The translation is vertical

If g(x)=f(x)+h then the graph is shifted up h units.

So, Applying translation:

[tex]f(x)=4^x-6[/tex]

[tex]g(x)=(4^x-6)+5[/tex]

Simplifying:

[tex]f(x)=4^x-6+5[/tex]

[tex]f(x)=4^x-1[/tex]

The function which is created by shifting the graph of function f up 5 units is  [tex]f(x)=4^x-1[/tex]

So, Option A is correct.

Keywords: Transformation

Learn more about Transformation at:

brainly.com/question/2415963 brainly.com/question/3779181 brainly.com/question/5563823

#learnwithBrainly

Other Questions
one month Miguel rented 5 movies and 3 video games for a total of $27. The next month he ordered 2 movies and 6 video games for a total of $36. Find the total of each movie and each video game. I need help with any grammar errors in this mainly like periods and parentheses dont need anything to like advanced just the basics I think Sams principles are that the colonies have the right to govern themselves as a nation. They should not have to stand the taxs given by a government 3,000 miles away. He wants freedom and for people to be able to believe in what they want to without having to think about how it could be treason to Britan and people she have the right to speak up about something they dont agree with and the people should have a say in the country they live in as Americans we should have the rights to be free and have the right to choose who runs the country and if someone has done something wrong they should be removed from there office as Americans we should get these rights to be free and have the rights to free speech and be able to choice a religion and have the right to a trial no matter the crime and every man and woman is to be treated as equal in are government and at a trial, no matter the beliefs or race the people deserve the right to pick who runs there country and not to be command over from a man who lives in a whole othe country and gained his position just from being born as Americans we should not be imprisoned for treason when speacking are leadership because we disagree with them Sam is willing to fight for a democracy were the people choice are leaders and are government has the right to take away a Someones office Sam is a patriot and is willing to die for the country and beliefs he loves. Harper's hair is 15 inches long. She getsit cut. Now it is 8 inches long. How manyinches did she get cut off her hair? Oriole Company sells office equipment on July 31, 2022, for $20,280 cash. The office equipment originally cost $78,950 and as of January 1, 2022, had accumulated depreciation of $38,410. Depreciation for the first 7 months of 2022 is $4,410. Prepare the journal entries to (a) update depreciation to July 31, 2022, and (b) record the sale of the equipment. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.) who is tired of being tormented with the baby shark song Determine the equivalent system for the given system of equations.4x 5y = 210x 21y = 10 a. 4x 5y = 2 3x y = 4b. 4x 5y = 2 24x 47y = 22c. 4x 5y = 2 10x + 3y = 15 d. 4x 5y = 2 14x + 26y = 12 You are a graduate student working with isolated aortic rings in a muscle bath. You measure vessel contraction (force in mN) in response to compounds that are thought to bind to G protein coupled receptors. When you expose aortic rings to drug X alone you get no response. When you expose the aorta to drug Y alone the vessel contracts generating a force of 17mN. When you expose the aorta to drugs X and Y together the aorta contracts more than with drug Y alone and generates a force of 24mN.Where on the receptor does drug X bind?Where on the receptor does drug Y bind?Explain why drugs X and Y have an additive effect. Which equation represents a circle with the same center as the circle shown but with a radius of 2 units Which ideas from the passage represent an opinion,rather than a fact? Check all that apply.As you read this passage, use the highlighting tool toidentify opinions.Zimbabwe's rapidly declining economy and politicalinstability are taking a toll on southern Africa as a region,discouraging foreign investment, creating the potentialfor a refugee crisis, and reducing trade within the region.A food shortage - created largely due to the government'spolicies and actions - threatens to develop into a truehumanitarian crisis. U.S. efforts working with countriesin the region to promote stability and developmentthrough regional integration have been seriouslyundermined by the actions of Zimbabwe's government.-Walter H. Kansteiner III, assistant secretaryof state for African affairs,US State DepartmentZimbabwe has a declining economy.Zimbabwe is to blame for the regional problemsfound in southern Africa.Trade in the region has been reduced.Government policies and actions are mostly toblame for the food shortage.US efforts to promote stability have been seriouslyundermined by the government. Quadrilateral QRST has diagonals that are perpendicular but not congruent. Which type of quadrilateral could describe quadrilateral QRST? A. SquareB. Rhombus C. Isosceles trapezoid D. Rectangle The process of photosynthesis convertsenergy from the Sun intoenergyO A.radiant; electricalOB.chemical; electricalOc. radiant; chemicalOD. chemical; radiant An assessment is valid if it measures what it is supposed to measure? Hola, Elena, tienes un pez?S, el pez es Bubbles, una hembra >.Cmo es Bubbles?Ella es ________ y ________.Group of answer choicesgordas; bonitasgordo; bonitogorda; bonitagordos; bonitos Describe the arrangement of sodium ions and chloride ions in a crystal of sodium chloride Which words used in "Teens, Your Brain Needs Real Food" are most important to understand when it comes to how the brain transmits information? a. by the comparison of the various kinds of carbohydrates and their effectivenessb. by the descriptions of the different types of carbohydrates and their effectsc. by the explanations about how carbohydrates change brain functionsd. by the inclusion of the most and least effective times to consume carbohydrates what is the solution to 2/3 x + 5 =1 lood flows through a section of a horizontal artery that is partially blocked by a deposit along the artery wall. As a hemoglobin molecule moves from the narrow region into the wider region, its speed changes from v2 = 0.800 m/s to v1 = 0.475 m/s. What is the change in pressure, P1 - P2, that it experiences? The density of blood is 1060 kg/m3. A fatty acid that contains a chain of ten carbons and one double bond is termed a fatty acid.A. saturated, medium chainB. saturated, long chainC. monounsaturated, medium chainD. monounsaturated, long chain In her day-to-day responsibilities, Maggie has to deal with dozens of top executives, managers, and other co-workers. This morning, she had a bad experience with one of those co-workers when he barked at her for not supplying him with a report quickly enough. Rather than bark back, Maggie smiled, kept her composure, quickly printed the report, and delivered it to his desk. She did this because she wants to treat all of her co-workers in the same manner that she wants them to treat her, with courtesy and respect. Which of the following principles is Maggie adhering to? Ian is a 19-year-old who is asking questions such as "who am I?" and "What do I want to do with my life?" Ian is most likely in _____. Steam Workshop Downloader