Pls answer these 2 show your work

A walking path at a park is 3/5 miles long. Paola walks on this path, completing each lap in 1/25 of an hour. What is Paola's ru

lara [203]

Answer:

15miles//hr

Step-by-step explanation:

From the question, we are given;

Distance covered by Paola = 3/5 miles

Time = 1/25 of an hour

Speed = Distance/ time

Substitute

Speed = (3/5)/(1/25)

Speed = 3/5 * 25/1

Speed = 3 * 5

Speed = 15

Hence Paola's running speed in miles per hour is 15miles/hr

8 0

2 years ago

Lily has two times as much money invested in 8% stocks as she has in bonds paying 6%. How much she has invested in stocks if he

slavikrds [6]

Answer:

$2960

Step-by-step explanation:

Lily has two times as much money invested in 8% stocks,

As she has in bonds paying 6%

Let the money invested in 8% stocks be 2x dollars,

The money in bonds paying 6% is then x dollars.

So, $2x( $\frac{8}{100}$ ) + $x( $\frac{6}{100}$ ) = $325.6

$0.16x + $0.06x = $325.6

$0.22x = $325.6

x = $1480

The money she has invested in stocks is 2x = 2 × $1480 = $2960

5 0

3 years ago

Suppose the length and width of the box in exercise 12 double. Does the surface area S double? Explain

Blizzard [7]

No, it does not.

In general, surface area is the sum of the areas of each face of a prism. In a rectangular prism, we have length, width, and height.

The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w. This means that together, it is 2lw.

The area of the left and right faces of the prism is the same, and can be represented as l*h. This means that together, it is 2lh.

The area of the front and back faces of the prism is the same, and can be represented as w*h. This means that together, it is 2wh.

This gives us the equation

SA = 2lw+2lh+2wh

If we double the length and width, making them each 2l, we then have:

SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
= 2(4lw) + 4lh + 4wh
= 8lw + 4lh + 4wh

If the surface area had been doubled, we would expect
4lw + 4lh + 4wh

No, it is not doubled.

4 0

3 years ago

Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx x(l

Pepsi [2]

I'm assuming the integral is

$\displaystyle \int \frac{dx}{x (\ln(x^2))^5}$

We have

$\ln(x^2) = 2 \ln|x| \implies (\ln(x^2))^5 = 32 (\ln|x|)^5$

Then substituting $y=\ln|x|$ and $dy=\frac{dx}x$ , the integral transforms and reduces to

$\displaystyle \int \frac{dx}{x(\ln(x^2))^5} = \frac1{32} \int \frac{dy}{y^5} \\\\ ~~~~~~~~ = \frac1{32} \left(-\frac1{4y^4}\right) + C \\\\ ~~~~~~~~ = -\frac1{128(\ln|x|)^4} + C$

which we can rewrite as

$128 (\ln|x|)^4 = 8\cdot2^4(\ln|x|)^4 = 8 (2\ln|x|)^4 = 8 (\ln(x^2))^4$

and so

$\displaystyle \int \frac{dx}{x (\ln(x^2))^5} = \boxed{-\frac1{8(\ln(x^2))^4} + C}$

7 0

1 year ago

Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that apply.) 1,6,8,8,8

Tom [10]

The diameter of a circle measures 12 yd what is the Circumference some of the circle? Use 3.14 for n

6 0

3 years ago