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3 years ago

Average rate change to the nearest hundredth can be which answer ?

Mathematics

1 answer:

Gre4nikov [31]3 years ago

3 0

Answer:

0.47

Step-by-step explanation:

f(x) = (x - 2)^(1/3)

average rate of change from x = -2 to x = 4 is [f(4) - f(-2)]/[4 - (-2)]

f(-2) = (-4)^(1/3) = -1.587401

f(4) = 2^(1/3) = 1.25992

[f(4) - f(-2)]/[4 - (-2)] = [1.25992 - (-1.587401)]/[4 - (-2)] = 0.47

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Harry Potter has a large amount of money in his vault at Gringotts. He wants to use some of it to buy his friends new broomstick

lianna [129]

Answer:

Domain is 8 to 15 broomsticks

Range is 1,200 to 2,250 Galleons

Step-by-step explanation:

Here, when we talk of the domain, we are simply referring to the range of values of the number of broomsticks to be bought which is between 8 and 15

When we talk of the range, we are talking of the amount these broomsticks will cost

The cost for 8 broomsticks will be 8 * 150 = 1,200 Galleons

15 broomsticks will cost 15 * 150 = 2,250 Galleons

The range here will thus be 1,200 Galleons to 2,250 Galleons

7 0

3 years ago

Read 2 more answers

a jogger runs 4 miles per hour faster downhill than uphill. if the jogger can run 5 miles downhill in the same time that it take

Serga [27]

Answer: the rate uphill is 6 mph.

The rate downhill is 10 mph

Step-by-step explanation:

Let x represent the rate at which the jogger ran uphill.

The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph

Time = distance/speed

if the jogger can runs 5 miles downhill, then the time taken to run downhill is

5/(x + 4)

At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is

3/x

Since the time is the same, it means that

5/(x + 4) = 3/x

Cross multiplying, it becomes

5 × x = 3(x + 4)

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 12/2

x = 6

The rate downhill is 6 + 4 = 10 mph

8 0

4 years ago

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You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many

REY [17]

What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

$A= \pi r^{2}$

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

$A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}$

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

$\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}$

Finally, we will be able to cut:

$n= \frac{2\pi}{\theta}$ Slices