What is the sixth term in the geometric sequence described by this explicit formula? an=-5*(4)^(n-1)

Answer:

       = 1099  cm^2

Step-by-step explanation:

The surface area of a cylinder is found by using the formula

SA=2πrh+2πr^2

We know the diameter.  To find the radius, we take the diameter and divide by 2.

r =d/2

r =14 cm/2 = 7 cm

h = 18 cm

Substituting what we know

SA = 2 * pi * 18 * 7 + 2 * pi * (7)^2

    = 252 *pi + 2* pi *49

   = 252 pi + 98 pi

  = 350 * pi

Let pi be approximated by 3.14

 SA = 350 * 3.14

       = 1099  cm^2

Answer: Choice B and choice D

The function that models the situation is y = 350 - 50x

The initial value defined by the function is 350

====================================================

Explanation:

Each time you increment (increase) x by 1/2 = 0.5 an hour, the y value drops by 25. So this means that each increase of 1 full hour means y drops by 50. The rate of change is -50, not positive 50, so this rules out choice C (which is fairly close but not quite there)

The initial value is 350 because we go backwards on the table. If x decreases by 0.5 hr, then y increases by 25 miles. So we add 25 to the y value in the first row to get 325+25 = 350 as our starting value. This is how far it is from the Robinson home to their relatives' house, which is why choice D is one of the answers.

The other answer is choice B because m = -50 is the slope or rate of change, and b = 350 is the starting value (y intercept), so y = mx+b turns into y = -50x+350 and that's equivalent to y = 350 - 50x. All I did was swap the values since we can add in any order. Because choice B is the proper function, this rules out choice A as an answer.

The function that models the situation is y = 350 - 50x. The rate of change defined by the function is 50. The initial value defined by the function is 350.

The function that models the situation is y = 350 - 50x.

B) The function that models the situation is y = 350 - 50x.

C) The rate of change defined by the function is 50.

D) The initial value defined by the function is 350.

To determine the function that models the situation, we can use the table provided.

The table represents the relationship between the amount of time, x, and the remaining distance, y, after driving for that amount of time.

Since the remaining distance decreases as the amount of time increases, we can conclude that the function is a linear function with a negative slope.

The slope represents the rate of change, which is the amount by which y decreases for each unit increase in x.

In this case, the rate of change is 50, meaning that for every hour of driving, the remaining distance decreases by 50 miles.

The initial value of 350 represents the distance remaining when no time has passed (x = 0).

This means that when the family starts their drive, they have 350 miles left to travel.

Therefore, option D is correct.

Answer:

27

Step-by-step explanation:

Solve for y:

5 y = 135

Divide both sides of 5 y = 135 by 5:

(5 y)/5 = 135/5

5/5 = 1:

y = 135/5

The gcd of 135 and 5 is 5, so 135/5 = (5×27)/(5×1) = 5/5×27 = 27:

Answer:  y = 27

Answer:

y = 27

Step-by-step explanation:

Divide both sides of the equation by 5.

[tex]\frac{5y}{5}[/tex] = [tex]\frac{135}{5}[/tex]

[tex]y = 27[/tex]

To check if this is true, substitute 27 back into the original equation.

[tex]5y=135[/tex]

[tex]5(27)=135[/tex]

[tex]135=135[/tex]

The calculated equation of the line is y = 3/4x - 4.5

From the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

m = slope

Using the above as a guide, we have the following:

m = (-6 + 3)/(-2 - 2)

m = 3/4

So, we have

y = 3/4x + c

Using the points, we have

3/4 * 6 + c = 0

Evaluate

c = -4.5

So, we have

y = 3/4x - 4.5

Hence, the equation is y = 3/4x - 4.5

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Answer:

B

Step-by-step explanation:

subtract the volume of the small box from the large box, that is

5x² - 2x + 10 - (3x² + 3x)

= 5x² - 2x + 10 - 3x² - 3x ( collect like terms )

= 2x² - 5x + 10 → B

The answer is:

B. (5x2 − 2x + 10) − (3x2 + 3x) = 2x2 − 5x + 10)

Answer: i would say no

Step-by-step explanation:

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.

Ax+By=C

Since x

is on the right side of the equation, switch the sides so it is on the left side of the equation.

3x=y

Move y

to the left side of the equation because it contains a variable.

3x−y=0

Answer:

no but see explanation

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange y = 3x into this form

subtract y from both sides

0 = 3x - y, hence

3x - y = 0 ← in standard form

Answer: Choice A) Triangle ABC is similar to triangle ACD by AA

AA stands for Angle Angle. Specifically it means we need 2 pairs of congruent angles between the two triangles in order to prove the triangles similar. Your book might write "AA similarity" instead of simply "AA".

For triangles ABC and ACD, we have the first pair of angles being A = A (angle A shows up twice each in the first slot). The second pair of congruent angles would be the right angles for triangle ABC and ACD, which are angles C and D respectively.

We can't use AAS because we don't know any information about the sides of the triangle.

Answer:

You will have $1628.16 per month in discretionary money.

Step-by-step explanation:

In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings.  Since there are 12 months in a year, your monthly income is $3072.  Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%.  The remaining percentage of your income would be considered discretionary, which would account for 53%.  To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.  

The discretionary money for a month is $1628.16, excluding savings per month.

The discretionary money is the leftover money in the income after excluding the savings and expenditures.

The given realized income is $36,864.00/yr

Then for a month, the realized income = $36,864/12

                                                                = $3072/month

Fixed and housing expenses are 32% of the realized income/month

= $3072 × [tex]\frac{32}{100}[/tex]

= $983.04

Savings are 15% of the realized income/month

= $3072 × [tex]\frac{15}{100}[/tex]

= $460.8

Then subtracting these from the realized income per month to get the discretionary money

Discretionary money (per month) = $3072 - $983.04 - $460.8

                                                        = $1628.16

So, the discretionary money left after excluding savings is $1628.16/month.

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Answer:

long division

Step-by-step explanation:

3000/3= 1000

Answer:

Good, now we’re going to explain how to solve a 3-digit division problem in 5 simple steps.

Step #1. Observe how many digits the divisor has.

In our example, the divisor has 3 digits.

Step-by-step explanation:Good, now we’re going to explain how to solve a 3-digit division problem in 5 simple steps.

Step #1. Observe how many digits the divisor has.

In our example, the divisor has 3 digits.                                                                                Step #2. In the dividend, start with the same number of digits that you found in Step #1.Step #3. Compare the 3 digits from the dividend and divisor.

If the dividend’s number is greater, we can begin dividing. In our example, we see that 389 is greater than 125, so let’s get started!

If the dividend’s number is less than the divisor, we must use another digit from the dividend. We’ll look at an example of this situation at a different time.

Step #4. Divide the dividend’s numbers by the divisor’s numbers.

Divide the dividend’s first number (which is 3 in our example) by the divisor’s first number (1). 3 by 1 is 3. Then, we multiply our divisor (125) by 3 and see that it fits in (in other words, that it’s less than) the dividend’s 3 numbers. So, we place the result underneath the dividend’s 3 digits and subtract.

Answer:

Zero

Step-by-step explanation : If you plot the points on a graph, you would notice they have the same slope but different y intercepts. This means they are Parallel lines and have no slope (Or Zero slope). Hope this helps!

The lines are parallel and will never intersect, so the answer is zero points of intersection.

First, we can determine the slopes of the two lines. Line A has a slope of (change in y)/(change in x) = (-3 - 9)/(0 - (-4)) = -12/4 = -3. Line B has a slope of (3 - (-9))/(0 - 4) = 12/(-4) = -3. Since the slopes are equal, the lines are parallel and will never intersect. Therefore, the answer is a. zero points of intersection.

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Answer:

Box-1:

Neither

Box-2:

[tex]8(t+8)[/tex]

Box-3:

[tex]8(t+8)[/tex]

Box-4:

[tex]8t+8[/tex]

Box-5:

Neither

Box-6:

[tex]8t+8[/tex]

Step-by-step explanation:

We can verify each box

Box-1:

[tex](8+t)+(8+8)[/tex]

we can simplify it by combining like terms

[tex]=8+t+8+8[/tex]

[tex]=8+t+16[/tex]

[tex]=t+24[/tex]

none of them matches

so, Neither

Box-2:

[tex]8t+64[/tex]

we can write as

[tex]8\times t+8\times 8[/tex]

now, we can factor out 8

[tex]8(t+8)[/tex]

Box-3:

[tex]8\cdot t+8\cdot 8[/tex]

we can factor out 8

[tex]8(t+8)[/tex]

Box-4:

[tex]4t+8+4t[/tex]

we can combine like terms

[tex]4t+4t+8[/tex]

[tex]8t+8[/tex]

Box-5:

[tex]8t+16[/tex]

we can factor common term

[tex]8\times t+8\times 2[/tex]

now, we can factor out 8

[tex]8(t+2)[/tex]

so, we can see that none are matching

so, Neither

Box-6:

[tex]4(2t+2)[/tex]

we can distribute 4

[tex]4\times 2t+4\times 2[/tex]

we can simplify it

[tex]8t+8[/tex]

simple answer

8(t+8):

(8 • t) + (8 • 8)

8t + 64.

8t + 8:

4t + 8 + 4t

4(2t + 2)

Neither:

(8 + t) + (8 + 8)

8t + 16

pls mark brainlist

Answer:

2025 if Im not wrong...

Step-by-step explanation:

x > 29 so,

A. 55

B. 31

Answer:

A.55

B.31

F.29

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Since you have 2 different questions to gather outcomes from, you multiply the amount of choices each has.  Obviously, 4 * 5 = 20 so the answer is 20.

Using it's concept, it is found that there are 20 outcomes in the sample space.

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

The outcomes in the first question are independent of the outcomes in the second question, hence there are 4 x 5 = 20 outcomes in the sample space.

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Answer:

hello there the answer is 36:18

Step-by-step explanation:

because it dosent matter which number is bigger it matters about the oder they ask to put it in and in this case a to b =36to18

Hey there!

[tex]\boxed{BoxA: 18}[/tex]

[tex]\boxed{BoxB:36}[/tex]

You could have your [tex]ratio[/tex] to look like this: [tex]18:36[/tex] (most likely going to be your answer if you are looking for the ratio of the number)

Both terms go into [tex]18[/tex], [tex]9[/tex], and [tex]2[/tex]

[tex]\frac{18}{2}[/tex] [tex]= 9[/tex]

[tex]\frac{36}{2} = 18[/tex]

[tex]\boxed{9:18}[/tex]

[tex]\frac{18}{9} = 2[/tex]

[tex]\frac{36}{9} = 4[/tex]

[tex]\boxed{2:4}[/tex]

[tex]\frac{18}{18} = 1[/tex]

[tex]\frac{36}{18} = 2[/tex]

[tex]\boxed{1:2}[/tex]

Answer: [tex]\boxed{36:18}[/tex] or [tex]\boxed{18:36}[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer:

x=4

Step-by-step explanation:

It suffices to equate any two sides and then check whether the solution is valid for the third side.

Taking 2x and 3x-4 and equating:

2x = 3x-4

x = 4

This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:

x+4=4+4=8

which indeed works out confirming x=4 being a valid solution

Final answer:

To determine a value for x that results in an equilateral triangle with side lengths 2x, 3x - 4, and x + 4, we equate the three expressions and solve for x, finding that x = 4 satisfies the condition of equal side lengths.

Explanation:

To find a value of x that makes the triangle equilateral, we set all three sides equal to each other because an equilateral triangle has all sides of the same length. Given the side lengths as 2x, 3x - 4, and x + 4, we can set up two equations:

2x = 3x - 4

2x = x + 4

Solving the first equation for x gives us:

2x = 3x - 4
x = 4

Solving the second equation for x gives us:

2x = x + 4
x = 4

Both equations yield x = 4 as the solution. Therefore, if x is 4, the lengths of the sides of the triangle will be 8, 8, and 8 respectively, which satisfies the conditions of an equilateral triangle.

Answer:

The correct answer is A) slope: -13 Intercept: 1

Step-by-step explanation:

When you have something in slope-intercept form, the slope is always the coefficient of x, which in this case is -13.

The intercept is always the constant at the end of the equation, which in this case is 1.

Answer:

a)

Step-by-step explanation:

Answer:

[tex]\frac{16}{3}[/tex]

Step-by-step explanation:

To evaluate substitute x = - [tex]\frac{1}{2}[/tex] into f(x)

f( - [tex]\frac{1}{2}[/tex])

= - [tex]\frac{2}{3}[/tex] × - [tex]\frac{1}{2}[/tex] + 5

= [tex]\frac{1}{3}[/tex] + 5

= [tex]\frac{1}{3}[/tex] + [tex]\frac{15}{3}[/tex] = [tex]\frac{16}{3}[/tex]

[tex]\left\{\begin{array}{ccc}7x=3y+45&|\text{subtract 3y from both sides}\\4x+5y=19\end{array}\right\\\left\{\begin{array}{ccc}7x-3y=45&|\text{multiply both sides by 5}\\4x+5y=19&|\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}35x-15y=225\\12x+15y=57\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad47x=282\qquad\text{divide both sides by 47}\\.\qquad \boxed{x=6}\\\\\text{Put the value of x to the second equation}[/tex]

[tex]4(6)+5y=19\\\\24+5y=19\qquad\text{subtract 24 from both sides}\\\\5y=-5\qquad\text{divide both sides by 5}\\\\\boxed{y=-1}\\\\Answer:\ \boxed{x=6\ and\ y=-1}[/tex]

6,-1 this is the answer

Answer:

the answers are below

Step-by-step explanation:

I don't know which one you needed help on

First one: 128x=96 --> x=3/4 so 96 is 75% of 128

Second one: 7^2=49, then use distributive property for the second part (3*5.2) and (3*-2.8)---> 49+15.6-8.4= 56.2

Third one: find the greatest common factor between 7x and 56 (it is 7 since seven can go into 56)---> 7(x+8)

Answer:

m ≥ 1016

Step-by-step explanation:

13+0.06M≥73.96

0.06M ≥ 60.96

m ≥ 1016

Answer:

x≥5

Step-by-step explanation:

A) 8+7+10+x ≥ 30

B) 8+7+10+x ≥ 30

First add 8, 7 and 10

8+7+10=25

25+x ≥ 30

Now subtract 25 from both sides (25-25) and (30-25)

x≥5

Answer:

I believe its B but im not to sure with this question sorry

Step-by-step explanation:

Answer:

4/n

Step-by-step explanation:

An algebraic expression is in terms of variables and constants.

quotient means division

the quotient of 4 and a number

4/n

Answer: Remainder: 206

Quotient: 3x³+7x²+21x+70 + [tex]\frac{206}{x-6}[/tex]

Step-by-step explanation: You can either use long division or synthetic division. I will use synthetic division: 3 | 3 -2 0 7 -4... the remainder is 206 and the quotient is 3x³+7x²+21x+70  + 206/x-6

The remainder is 206 and the quotient is ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) /(x - 3)

A result obtained by dividing one quantity by another is called a quotient.

Remainder is the value left after the division.

∴ Here the remainder will be putting x = 3 in the dividend.

So, remainder = [tex]3(3)^{4} - 2(3)^{3} + 7(3) - 4[/tex] = 206

in a division, dividend is equal to divisor multiplied by quotient plus remainder.

Let the quotient be Q(x)

Here,  we can write,

[tex]3x^{4} - 2x^{3} + 7x -4[/tex]  = (x - 3)Q(x) + 206

⇒ Q(x) = ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)

So, the required quotient is  ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)

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[tex]\left \{ {{y=x+3} \atop {y=3x+6}} \right. \\\\ \left \{ {{y=x+3} \atop {3x+6=x+3}} \right. \\\\\left \{ {{y=x+3} \atop {3x-x=3-6}} \right. \\\\\left \{ {{y=x+3} \atop {2x=-3\ /:2}} \right. \\\\\left \{ {{x=-1.5} \atop {y=-1.5+3}} \right. \\\\\left \{ {{x=-1.5} \atop {y=1.5}} \right.[/tex]

[tex]\left\{\begin{array}{ccc}y=x+3&(*)\\y=3x+6&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**):\\\\x+3=3x+6\qquad\text{subtract 3 from both sides}\\\\x=3x+3\qquad\text{subtract 3x from both sides}\\\\-2x=3\qquad\text{divide both sides by (-2)}\\\\\boxed{x=-1.5}\\\\\text{Put the value of x to}\ (*)\\\\y=-1.5+3\\\\\boxed{y=1.5}\\\\Answer:\ \boxed{x=-1.5\ and\ y=1.5\to(-1.5;\ 1.5)}[/tex]

Look at the picture.

x + 2x = 12

3x = 12     divide both sides by 3

x = 4

AB = 12 + x

therefore AB = 12 + 4 = 16

Answer:

For the number 3 there are 33 numbers divisible by 3 from 1 to 100. If you want the number divisible by both 3 and 4 it is 58 . 58 - 8 = 50 numbers by 3 or 4. Hope I helped

Answer:

150 shirts and 75 jeans

Step-by-step explanation:

s = shirts

j = jeans

12s+28j = 3900

The profit on the shirts is 70 percent so we multiply 12 by .7  

12*.7 = 8.4

The profit on the jeans is 125 percent so we multiply 28 by 1.25  

The profit was 3885

28*1.25 = 35

8.4s+ 35j=3885

We now have 2 equations and 2 unknowns

12s+28j = 3900

8.4*s+ 35j=3885

I am going to solve by elimination

Multiply the first equation by -.7

-.7 (12s+28j )= -.7*3900

-8.4s -19.6j=-2730

Add this to the second equation

-8.4s -19.6=-2730

8.4s+ 35j=3885

------------------------

15.4j = 1155

Divide each side by 15.4

15.4j/15.4= 1155/15.4

j = 75

Now we need to find the shirts.

We will substitute j=75

12s+28(75) = 3900

12s +2100 = 3900

Subtract 2100 from each side

12s = 3900-2100

12s = 1800

Divide by 12

12s/12 = 1800/12

s =150

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-4, 5) and (0, 2). Substitute:

[tex]m=\dfrac{2-5}{0-(-4)}=\dfrac{-3}{4}=-\dfrac{3}{4}[/tex]

Slope of the line passing through the pair of points (−4, 5) and (0, 2) is option C. -3/4.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given are two points on a line.

(−4, 5) and (0, 2)

We have to find the slope of the line.

Slope = Change in y coordinates / Change in x coordinates

          = (2 - 5) / (0 - -4)

          = -3/4

Hence the slope of the line through the two points is -3/4.

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Answer:

Plane Speed (x) = 378 mph

Step-by-step explanation:

Equation

d = r * t

Givens

With the wind

Against the wind

Equation

The distances are the same, so you can solve for x in terms of y and then deal with the actual distance.

(x + y)*4 = (x - y)*5                   Remove the brackets on both sides

Solution

Solution part 2

Now take one of the distance formulas and solve for x first then y.