consider the infinite geometric series 2(p-5) + 2(p-5)² + 2(p-5)³​

Kendra has $5.35 in nickels and quarters. If she has 13 more quarters than nickels, how many of each coin does she have?

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We know that n = q - 13.

The value equation is

5n + 25q = 535 (we work in cents)

Now substitute for n and get

5(q - 13) + 25q = 535

5q - 65 + 25q = 535

30q = 600

q = 20 so that

n = 7

Step-by-step explanation:

Answer:

t = -1.54.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

H0:μ=54.5

This means that [tex]\mu = 54.5[/tex]

Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.

This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]

Test statistic

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]

[tex]t = -1.54[/tex]

The test statistic is t = -1.54.

Answer:

[tex]1 \frac{1}{2}[/tex]

Answer:

no real numbers will make this equation true

Step-by-step explanation:

if you square both sides, you'll get sqrt(-49). this will get you an imaginary number (7i) which is not a real number.

Answer:

D, -42 multiply 6 on both sides

D. because when it is multiplied, the inequality is no longer true.

Answer:

p=54 hope this helps

Step-by-step explanation:

Answer:

14 degrees is th warmest

Answer:

1/7 or 0.14

Step-by-step explanation:

Answer:

0.14

Step-by-step explanation:

All I did was plug it into my calculator. If you don't have one, you can use your phone or computer. Both devices have calculators programmed in. This answer is not the exact answer; it is just the first two decimals.

Please let me know if you need more help. Hope this helps!

Answer:

0.074

Step-by-step explanation:

convert 7.4% to a decimal.

9514 1404 393

Answer:

  (d) ∅

Step-by-step explanation:

Subtracting y from both sides gives ...

  4 = -5

There is no value of y that will make this true. There is no solution to the equation.

The solution set is the null set: ∅.

Answer:

What are you trying to say

Step-by-step explanation:

Answer:

Wow, Thats really touching. I kind of dont know what to say but.

Step-by-step explanation:

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Answer:

2.5 yards of twine

Step-by-step explanation:

1 box = 18 inches

5 boxes = 18 x 5 = 90 inches

90 inches = 2.5 yards

Answer:

The answer is 7 + 11i

Step-by-step explanation:

Answer:y=5

Step-by-step explanation:

To find out what y is you have to do the inverse to 'undo' the equation.

So instead of multiplying y by 8 you have to divide 40 by 8.

40÷8=5

So y=5

You can check your answer by putting 5 where y is.

40=8×5

Hope this helps :)

Answer:

Use the inverse operation to isolate the variable. Undo multiplication by dividing by 8 on both sides of the equation. Simplify by completing the divisions, 40 ÷ 8 = 5, and 8 ÷ 8 = 1. The solution is y = 5. Check the solution by substituting 5 for y in the original equation, and then simplify. 8 × 5 = 40 and 40 = 40 is a true statement, so 5 is the solution.

Step-by-step explanation:

On edge 2021

Answer:

it means you are my neighbor

Step-by-step explanation:

Answer:

It means your gonna get killed

Step-by-step explanation:

hey jayden

Answer:

Step-by-step explanation:

Area of triangle:

We have the value of b but not h.

Added auxiliary segments which help to find the value of h.

See attached for details

The area is:

Answer:

A taxa de juros desse fundo de investimento é de 24% ao ano.

Step-by-step explanation:

Esta é uma questão que envolve juros simples.

A quantidade de juros acumulados depois de t anos é dado por:

[tex]J = P*r*t[/tex]

Em que P é o investimento inicial, r é a taxa de juros, é t é o tempo, em anos.

O montante é dado por:

[tex]M = J + P[/tex]

Um investidor aplicou a quantia de R$ 500,00.

Isso significa que [tex]P = 500[/tex]

Juros acumulados:

Montante era de R$ 560,00, o que significa que [tex]M = 560[/tex]

Então, a quantidade de juros acumulados é dada por:

[tex]M = J + P[/tex]

[tex]J = M - P = 560 - 500 = 60[/tex]

Taxa de Juros:

6 meses é meio ano, o que implica que [tex]t = 0.5[/tex]

Então

[tex]J = P*r*t[/tex]

[tex]60 = 500*r*0.5[/tex]

[tex]250r = 60[/tex]

[tex]r = \frac{60}{250}[/tex]

[tex]r = 0.24[/tex]

A taxa de juros desse fundo de investimento é de 24% ao ano.

Answer:

Bro this is hard answer is 0.17 or 2/12

Step-by-step explanation:

9/12 - 7/12

9 - 7 first since they both have 12 as their denominator

2 is the answer so you get 2/12

To find the sum or difference of 9/12 - 7/12, you can follow these steps:

So the answer is 1/6.

Please give me brainliest for more high quality answers! - longstretch

Answer:

3/2 and 3/4 are both not multiples of 1/3.

Step-by-step explanation:

They have to have 3 as the denominator (or the number below the line) to be a multiple of 1/3. For example: 1/3, 2/3, 3/3.

Hope you understand that! :)

Answer:

Explanation Below :)

Step-by-step explanation:

3/2 & 3/4 are mistakes

When finding three multiples of a number that is a fraction, the denominator (bottom number) always stays the same. So, 3/2 & 3/4 are not multiples of 1/3.

Answer:

The linear equation is:

y = 3*x

when x = 1

y = 3*1 = 3

when x = 2

y = 3*2 = 6

Then as x increases one unit, y increases 3 units.

Then the correct statement would be something like:

"For the linear function, y increases by a sum of 3 each time x increases 1"

The exponential function is:

y = 3^x

When x = 1

y = 3^1 = 3

When x = 2

y = 3^2 = 3*3

when x = 3

y = 3^3 = 3*3*3

So when x increases by 1, we multiply the previous value of y by 3.

Then the correct sentence is something like:

"For the exponential function, y increases by a factor of 3".

Answer: for the linear function y increases by a difference

for the exponential function y increases by a(n) ratio.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hi,

Describe the slope: This is a horizontal line. Slope measures the steepness of a line, since this is a horizontal line with no change whatsoever, the slope must be 0.

Calculate: (-1,-2) (3,-2)

Change in y over change in x

-2 - (-2) = 0

3 - 1 = 2

0/2 = 0

The slope is 0

Hope this helps <3

Answer:

Step-by-step explanation:

Angle 3 makes alternate interior angle pair with angle 5

Answer:

C. ∠5

Step-by-step explanation:

Angle 3 makes alternate interior angle pair with angle 5

∠3 ≅ ∠5

Answer:

3x

Step-by-step explanation:

if  __ + 3 = 15   and x=4  then you need to find what plus 3 = 15.

12+3 = 15, and to get from 4 to 12 you multiply by 3

3x + 3 = 15! hope that helps

Answer:b

Step-by-step explanation: