True or false (Picture provided)

Answer:

20

Step-by-step explanation:

You multiply the 80 and the 18 and then you add 82

parallel slopes always has the same exact slope.

The equation of required line is [tex]y=-\frac{3}{4} x-\frac{9}{4}[/tex]

Equation of line which is given,

                   [tex]-3x-4y=9\\\\y=\frac{-3x+9}{4} =-\frac{3}{4}x+\frac{9}{4}[/tex]

Compare above equation with [tex]y=mx+c[/tex]

Where m is slope of line, [tex]m=-\frac{3}{4}[/tex]

The slope of parallel lines are always equal.

So that, slope of required line is also [tex]-\frac{3}{4}[/tex].

                      [tex]y=-\frac{3}{4} x+c[/tex]

the line that passes through the point [tex]P(1,-3)[/tex]

Substitute given point in required equation of line.

               [tex]-3=-\frac{3}{4} *1+c\\\\c=-3+\frac{3}{4} \\\\c=-\frac{9}{4}[/tex]

The equation of required line is [tex]y=-\frac{3}{4} x-\frac{9}{4}[/tex]

Learn more about the slope-intercept form of line here:

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Answer:

150 minutes

Step-by-step explanation:

Since your solving for minutes you need to change the 2.5 hours into minutes. There is 60 minutes in 1 hour. you take 60 and multiply it by 2.5 because you need to find the total minutes. When you multiply those teo you get 150 minutes. Please give me the brainliest answer.

:D Hoped this helped!!! Have a good day!! <3

Answer:

150 minutes

Step-by-step explanation:

1 hours = 60 minutes

We need to use the conversion factor with minutes on top

2.5 hours * 60 minutes

                   -------------

                    1 hour

Canceling hours

2.5 *60 minutes

150 minutes

Answer:6

Step-by-step explanation: 1,000 divided by 7 is 994 with a remainder of six. Which means the principal had six left

Answer:

⅖  pizza

Step-by-step explanation:

Divide each pizza into five slices.

Then there will be 10 slices, and each person will get two slices.

Two slices = ⅖ pizza

Each person will receive ⅖ pizza.

Each of the five people will receive 2/5 of a pizza when two pizzas are shared equally amongst them.

The student asked how much pizza each person will receive if five people are sharing two pizzas equally. To answer this, we divide the total number of pizzas by the number of people. Since there are 2 pizzas and each pizza is usually considered to be 1 whole, when split among 5 people, each person will get 2/5 of a pizza.

Answer:

4

Step-by-step explanation:

1/4 is a quarter at up 1/4 4 time and it gives you a whole, 1/4+1/4+1/4+1/4=1

Answer:

Step-by-step explanation:

For f(x) = 4x + 3 and g(x) = 9x

(a) (f o g) (x)

= f (g (x))

= f (9x)

= 4(9x) +3

= 36x + 3

Its domain is any real number.

(b) (g o f) (x)

= g (f (x))

= g (4x + 3)

= 9 (4x + 3)

= 36x + 27

Again its domain is any real number.

(c) (f o f) (x)

= f (f (x))

= f (4x + 3)

= 4(4x + 3) + 3

= 16x + 12 + 3

= 16x + 15

Again its domain is any real number.

(d) (g o g) (x)

= g ( g (x))

= g (9x)

= 9(9x)

= 81x

Again its domain is any real number.

Answer:

solution given:

f(x) = 4x + 3

g(x) = 9x

answer:

a.fog(x)=f(9x)=4×9x+3=36x+3

domain=real number

b.gof (x)=g(4x+3)=9(4x+3)=36x+26

domain=real number

c.fof(x)=f(4x+3)=4(4x+3)+3=16x+12+3

=16x+15

domain: real number

d.

gog(x)=g(9x)=9×9x=81x

domain: real number.

Answer:

option(b)

9/13

Step-by-step explanation:

Given the expression

[tex]\frac{2n+7n}{13n}[/tex]

=[tex]\frac{9n}{13n}[/tex]

n will cancel out on both sides

so,

9/13 will remain

As 9/13 is a constant so any value of n when approaches to a constant will not affect it. Hence limit = 9/13

The limit of a constant function is equal to the constant.

Answer:

B

Step-by-step explanation:

let's not forget that a function and its inverse have a domain <-> range relationship, namely, if the original function has a point of say (3 , 7 ), then its inverse function will have a point of (7 , 3 ), the same pair just flipped sideways.

[tex]\bf (g\circ f^{-1})(x)\implies g(~~~f^{-1}(x)~~~) \\\\\\ (g\circ f^{-1})(2)\implies g(~~~f^{-1}(2)~~~) \\\\[-0.35em] ~\dotfill\\\\ \textit{so let's firstly find out what is }f^{-1}(2)[/tex]

we don't have an f⁻¹(x), darn!! but but but, we do have an f(x) on the left-hand-side graph, and it has a pair where y = 2, namely ([ ] , 2), so then, f⁻¹(x) will have the same pair but sideways, let's inspect f(x).

hmmmmmm when y = 2, x = 0, notice the y-intercept on the graph, ( 0, 2 ).

so then, that means that f⁻¹(x) has a pair sideways of that, namely ( 2, 0), or f⁻¹(2) = 0.

so then, g(  f⁻¹(2)  ), is really the same as looking for g(  0  ), well then, what is "y" when x = 0 on g(x)?  let's inspect the right-hand-side graph.

hmmmmmmmmmmm  notice, the point is at ( 0 , 2 ), namely when x = 0, y = 2.

[tex]\bf (g\circ f^{-1})(2)\implies g(~~~f^{-1}(2)~~~)\implies g(0)\implies 2[/tex]

Answer:

option (c)

4√34

Step-by-step explanation:

Given in the question is a right angle triangle

height of triangle = 20 cm

base of triangle = 12 cm

To find the length of missing side of the triangle we will use pythagorus theorem

hypotenuse² = 20² + 12²

hypotenuse² = 400 + 144

hypotenuse²  = 544

take square root on both sides

√hypotenuse² = √544

hypotenuse = 4√34 cm

Hence,  the length of missing side of the triangle is4√34 cm

The correct answer is D.

$55 per hour x 4 hours = $220

$220 + $50 service charge = $270 total

Hope this help.

Answer:

D. $270

Step-by-step explanation:

$55 per hour for 4 hours = $55 * 4 = $220

$50 service fee

total = hourly amount + service fee

total = $220 + $50

total = $270

Answer:

x = 70

Step-by-step explanation:

70 % of x = 52.50

75 out of 100  X = £ 52.50

Answer:

The Original Price of the Winter Jacket is $70

Step-by-step explanation:

The Original Price is calculated by using the given information on a Simple Rule of Three formula, which looks like the following.

X --------> 100%

$52.50 --------> 75%

The Rule of Three simply asks if $52.50 is 75% then What is 100%? We solve the Rule of Three by multiplying $52.50 by 100 and then dividing the result by 75.

[tex]X = \frac{52.50*100}{75}[/tex]

[tex]X = 70[/tex]

According to the formula the Original Price of the Winter Jacket was $70

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer:

x=-5

Step-by-step explanation:

Set up the rational expression with the same denominator over the entire equation.

2x-2/6=3x+3/6

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

2x−2=3x+3

Move all terms containing x to the left side of the equation.

−x−2=3

Move all terms not containing x to the right side of the equation.

-x=5

Multiply each term in x=−5 by −1

x=−5

Answer:

All statements are true

Step-by-step explanation:

1. The statement [tex]S_{500}>S_{499}[/tex] is true, because [tex]S_{499}[/tex] is the sum of first 499 terms,  [tex]S_{500}[/tex] is the sum of first 500 terms,  and all these terms are positive, then the sum of smaller number of terms is less than the sum of larger number of terms.

2. The statement [tex]S_{500}>a_{500}[/tex] is true, because [tex]S_{500}[/tex] is the sum of first 500 terms,  [tex]a_{500}[/tex] is 500th term and the sum of 500 terms is greater than the 500th term.

3. The statement [tex]S_1=a_1[/tex] is true, because [tex]S_1[/tex] is the sum of first 1 term that is exactly  [tex]a_1.[/tex]

All statements are true.

Answer:

Diameter 16, radius 7, circumference 37.68, diameter 8

Step-by-step explanation:

Largest area will be in a circle with the largest radius. So let's find all radii.

d = 8, so r = 4;

r = 7;

circumference = 2pi*r = 37. 68, so r = 6

diameter 18, so r = 8

[tex] \frac{5 \: = \: number \: of \: favorable \: outcomes}{6 \: = \: number \: of \: possible \: outcomes} [/tex]

Since there are 6 possible outcomes, that will become the denominator. In addition, since we are trying to find the probability of rolling 5 numbers out of that 6, 5 would be the numerator.

So the answer is,

[tex] \frac{5}{6} [/tex]

The probability that the number is 2,6,3,4, or 1 is 5/6.

Probability is the ratio that shows the likelihood that an event will occur from a given set of events.

A cube has six sides. Each side has a unique number.

We have to find the probability of getting 2,6,3,4, or 1.

The total number of favorable events = 5

The sample space has 6 events.

Therefore, the probability is given by 5/6.

Therefore, we have found the probability that the number is 2,6,3,4, or 1 to be 5/6.

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To determine the number of apples John picks on the 10th day, we use the formula for the nth term of an arithmetic sequence. Given the first day's pick at 150 apples and an increase of 100 apples each day, we find that John picks 1050 apples on the 10th day.

An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant difference to the preceding term.

In this case, the first term (the number of apples picked on the first day) is 150, and the common difference (the increase each day) is 100 apples.

To find the number of apples picked on the 10th day, we use the formula for the nth term of an arithmetic sequence, which is:

an = a1 + (n - 1) × d

Where an is the nth term, a1 is the first term, n is the term number, and d is the common difference. For the 10th day:

a10 = 150 + (10 - 1) × 100

a10 = 150 + 9 × 100

a10 = 150 + 900

a10 = 1050

Therefore, John picks 1050 apples on the 10th day.

Answer:

[tex]A=53.13\°[/tex]

Step-by-step explanation:

The figure shows a right triangle.

To calculate the measure of the angle A, you can use the inverse trigonometric function arctangent:

[tex]\alpha=arctan(\frac{opposite}{adjacent})[/tex]

Identify the angle [tex]\alpha[/tex], the opposite side and the adjacent side:

[tex]\alpha=A\\opposite=4cm\\adjacent=3cm[/tex]

Substitute into [tex]\alpha=arctan(\frac{opposite}{adjacent})[/tex].

The measure of the angle A is:

[tex]A=arctan(\frac{4}{3})\\\\A=53.130\°[/tex]

Rounded to the nerarest hundreth:

[tex]A=53.13\°[/tex]

The answer is m∠A = 53.13 °

Answer:

$386794

Step-by-step explanation:

To be able to find how much we get in 5 years, we need to base it off the initial salary value.

So in the first year we get.

$70,000

To get how much we get in the 2nd year we add the extra 5%.

2nd year salary = (1.05)70000

2nd year salary = 73500

Now we continue to do that until the 5th year

3rd year = (1.05)73500

3rd year = 77175

4th year = (1.05) + 77175

4th year = 81033.75

5th year = (1.05) + 81033.75

5th year = 85085.44

Now we add them all up to get the total.

70000 + 73500 + 77175 + 81033.75 + 85085.44 = $386794.19 or $386794

Answer: 2830.40

Step-by-step explanation:

By using mathematical formulas for calculating compound interest and the total payment of an installment loan, and then subtracting the original loan principal, the total interest paid on the loan is identified as $9,830.40.

To solve this problem, use the formula for the compound interest on a loan: A = P(1 + r/n)^(nt), where:

Since Randy is not going to start paying off his loan until 10 months later, the money will compound for 20 years and 10 months. Convert 10 months into years we get 10/12 = 0.833 years. Therefore, t = 20 + 0.833 = 20.833 years.

The loan was compounded monthly which means n = 12 and the rate is r = 3.6/100 = 0.036. Now you can substitute these values into the formula.

Next, find the total amount paid over the entire period of the loan by using the formula for the total payment of an installment loan: M = P*r*(1 + r)^n / [(1 + r)^n – 1], where M is monthly payment.

Subtract the principal from the total payment to find the total interest paid. From the given options, it appears that the answer is B.) $9,830.40

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To find the distance from point P to line RQ, we first find the vectors for PQ and PR. Then we calculate the projection of PR onto PQ which gives us the vector from P to the point on line RQ nearest to P. The length of this vector gives us the shortest distance from point P to the line RQ. This explanation assumes we have coordinate data for points P, Q, and R.

The distance from point P to RQ can be found utilizing mathematical principles of geometry and vectors. Let's assume that we know the coordinates of points P, R, and Q. Having these information, we can follow these steps:

Remember, this is the process given that you know the coordinates of the points involved. If you only have a diagram, you might need to use tools like a ruler or a protractor to measure distances and angles.

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Answer:

2.25 hours for the man and 1.83 hours for the woman.

Step-by-step explanation:

We first find the number of calories consumed by both the man and the woman.

The man's calories are:

750+400+225 = 1375

The woman's calories are:

370+400+0 = 770

The man burns 610 calories per hour.  This means to find the number of hours, we divide the number of calories by the rate burned per hour:

1375/610 = 2.25 hours

The woman burns 770 calories per hour.  This means to find the number of hours, we divide the number of calories by the rate burned per hour:

770/420 = 1.83 hours

A 190-pound man needs to shovel snow for approximately 2.25 hours, and a 130-pound woman needs to shovel for approximately 1.83 hours to burn off the calories from their Burger King meal.

The question involves calculating the time it takes for a 190-pound man and a 130-pound woman to burn off the calories consumed from a meal at Burger King through the physical activity of shoveling snow. The man consumed a total of 1375 Calories (750 Cal for BK Big Fish sandwich, 400 Cal for medium french fries, and 225 Cal for a large Coke). The woman consumed a total of 770 Calories (370 Cal for a basic hamburger, 400 Cal for medium french fries, and 0 Cal for a diet Coke).

To find out how long each person needs to shovel snow to burn off the lunch calories, we divide the total number of calories consumed by the rate at which they burn calories while shoveling snow.

For the man: 1375 Calories / 610 Cal/h = approximately 2.25 hours.

For the woman: 770 Calories / 420 Cal/h = approximately 1.83 hours.

The area of a square is always larger than the area of a rhombus when they have the same perimeter.

The areas of a square and a rhombus with the same perimeter are not equal. The square will always have a larger area than the rhombus.

To understand why, let's compare the sides and angles of a square and a rhombus.

Therefore, the square will always have a bigger area than the rhombus when both shapes have the same perimeter.

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Answer: 60 degrees

Step-by-step explanation:

the line is 180 degrees so minus 50 equals 130 minus 10 120 divide my 2 60

Answer:

C. 4

Step-by-step explanation:

(3x/5) - 0.5 = 1.9

+ 0.5 +0.5

3x/5 = 2.4

*5 *5

3x = 12

— —

3 3

X = 4

Answer is C

I hope I helped!

Let me know if you need anything else!

~Zoe

Answer:

1. The area of the triangle PQR is 40 cm^2.

2. 321.4 cubic cm

Step-by-step explanation:

1. We are given two triangles, ABC and PQR, which are similar to each other.

Given that area of the triangle ABC is [tex]40cm^2[/tex], we are to find the area of the triangle PQR.

For that, we can use the ratio method:

[tex] \frac { P Q R } { 4 0 } = \frac { 6 } { 4 } [/tex]

Area of triangle PQR = [tex] \frac { 6 \times 40 } { 4 } = 60cm^2 [/tex]

2. We are given the diameter of a spherical model to be 8.5 cm so its radius will be 4.25 cm.

Finding the volume of the spherical model as we know that the volume of a sphere is given by:

[tex]\frac{4}{3} \pi r^3[/tex]

Substituting the given value of radius in the formula to get:

Volume of spherical model = [tex]\frac{4}{3} \times 3.14 \times (4.25)^3[/tex] = 321.4 cubic cm

Answer:

Part 1) The length of the new rectangle is [tex]87.5\ ft[/tex]

Part 2) The area of the new rectangle is [tex]4,375\ ft^{2}[/tex]

Step-by-step explanation:

we know that

If two rectangles are similar, then the ratio of its corresponding sides is proportional

step 1

Find the length of the new rectangle

Let

L-----> the length of the new rectangle

[tex]\frac{50}{20}=\frac{L}{35}\\ \\ L=50*35/20\\ \\L=87.5\ ft[/tex]

step 2

Find the area of the new rectangle

we know that

The area of the rectangle is

[tex]A=LW[/tex]

we have

[tex]L=87.5\ ft[/tex]

[tex]W=50\ ft[/tex]

substitute

[tex]A=(87.5)(50)=4,375\ ft^{2}[/tex]

Reflection over x-axis, shift down 5 units.

Answer:

Option B is correct.

Step-by-step explanation:

Given Parent Function, f(x) = |x|

Transformed function, f(x) = - |x| + 5

In transformed function, f(x) = -|x|

Represent that parents function is first reflected ove x - axis.

then in transformed function, f(x) = -|x| + 5

represent that after reflection function is shifted 5 unit in upward direction.

Therefore, Option B is correct.

AO is a line segment containing the radii of both circles, which are AK and OE, so AO = AK + OE = 9.

Extend AO to a point P on the line KE. Then we get two similar triangles APK and OPE. Let [tex]x[/tex] be the length of KE, [tex]y[/tex] the length of EP, and [tex]z[/tex] the length of OP.

By similarity, we have

[tex]\dfrac{OE}{AK}=\dfrac{EP}{KP}=\dfrac{OP}{AP}\iff\dfrac45=\dfrac y{y+x}=\dfrac z{z+9}[/tex]

OPE is a right triangle, so

[tex]OP^2=OE^2+EP^2\implies z=\sqrt{16+y^2}[/tex]

Now,

[tex]\dfrac45=\dfrac y{y+x}\implies 4(y+x)=5y\implies 4x=y[/tex]

and we also have

[tex]z=\sqrt{16+(4x)^2}=\sqrt{16+16x^2}=4\sqrt{1+x^2}[/tex]

Substituting this into the expression containing [tex]z[/tex] gives us an equation that we can solve for [tex]x[/tex]:

[tex]\dfrac45=\dfrac z{z+9}=\dfrac{4\sqrt{1+x^2}}{4\sqrt{1+x^2}+9}[/tex]

[tex]16\sqrt{1+x^2}+36=20\sqrt{1+x^2}[/tex]

[tex]9=\sqrt{1+x^2}[/tex]

[tex]\implies KE=x=\sqrt{80}=3\sqrt{10}[/tex]

It’s a 50/50 chance since there is only 2 sides. (1?2)