3 years ago

If a map key says that 1" = 12 miles, how many miles are represented by 3.2"?

Mathematics

1 answer:

Neporo4naja [7]3 years ago

4 0

12*3.2=38.4 so yeah

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A=4pir^2 solving for pi

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Pie formula is 3.14

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Beau and Bellas Grandmother gave them a big box of pencils for school. If they split the pencils equally, what equation shows ho

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A washer and dryer cost $750 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?

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The sum of the first two terms of an infinite GP is 6 and each term is 5 times the sum of the succeeding termsthen the second te

kozerog [31]

Answer:

$\dfrac{6}{7}$ .

Step-by-step explanation:

It is given that the sum of first two terms of an infinite GP is 6.

nth term of a GP is

$a_n=ar^{n-1}$

$a+ar=6$ ...(1)

Each term is 5 times the sum of the succeeding terms.

$a_n=5(a_{n+1}+a_{n+2}+...+\infty)$

$ar^{n-1}=5(ar^n+ar^{n+1}+...+\infty)$

$ar^{n-1}=5ar^n(1+r+r^2+...+\infty)$

Divide both sides by a.

$r^{n-1}=5r^n(\dfrac{1}{1-r})$ $[\text{Sum of infinite GP}=\dfrac{a}{1-r}]$

$\dfrac{r^n}{r}=\dfrac{5r^n}{1-r}$

$\dfrac{1}{r}=\dfrac{5}{1-r}$

$1-r=5r$

$1=6r$

$\dfrac{1}{6}=r$

The common ratio is 1/6.

Put r=1/6 in (1).

$a+a(\dfrac{1}{6})=6$

$6a+a=36$

$7a=36$

$a=\dfrac{36}{7}$

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Therefore, the second term is $\dfrac{6}{7}$ .

4 0

3 years ago

Kevin and Jill wrote two different functions that have the same rate of change. Jill’s function has a y-intercept that is 2 less

Art [367]

Kevin linear function is y = 3x + 1 while Jill function is y = 3x - 1

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Using the points (0, 1) and (2, 7), hence for Kevin:

y - 1 = [(7 - 1)/(2 - 0)](x - 0)

y = 3x + 1

Jill’s function has a y-intercept that is 2 less than the y-intercept, hence b = 1 - 2 = -1

Jill function is:

y = 3x - 1

Kevin linear function is y = 3x + 1 while Jill function is y = 3x - 1

Find out more on Linear equation at: brainly.com/question/13763238

8 0

2 years ago