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liberstina [14]

2 years ago

11

Select the expression that is equivalent to (2x^2 +5)-5/2

1 answer:

anyanavicka [17]2 years ago

3 0

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's solve :

${(2 {x}^{2} + 5) }^{ - \frac{5}{2} }$

$\dfrac{1}{{(2 {x}^{2} + 5) }^{ \frac{5}{2} } }$

$\dfrac{1}{ \sqrt{( 2{x}^{2} + 5) {}^{5} } }$

therefore, the correct choice is :

A

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What do y’all think the world is going to be in the future

geniusboy [140]

Answer:

No trees and just buildings.

Step-by-step explanation:

In the future, it is most likely to have some tall, bulky buildings.

Some scientists say that the future will be more about buildings and work spaces and less about trees.

So it is MORE likely for the future to have at least... 20 trees in the park. Also, less land. The land will be used to build buildings.

7 0

2 years ago

What is the average rate of change of the function f(x) = 5x ^ 2 + 20x between x = 0 and x = 0.5

Vitek1552 [10]

9514 1404 393

Answer:

22.5

Step-by-step explanation:

The average rate of change on the interval [a, b] is the ratio ...

(f(b) -f(x))/(b -a)

For your function and interval, it is ...

(f(0.5) -f(0))/(0.5 -0)

Since f(0) = 0, this reduces to ...

average rate of change = 2·f(0.5) = 2(5(0.5)² +20(0.5)) = 2(5/4 +10)

average rate of change = 22.5

8 0

2 years ago

Ellis is painting wooden fenceposts before putting them in his yard. They are each 5 feet tall and have a diameter of 1 foot. Th

Naya [18.7K]

Answer:

39.25 cubic feet of paint will be needed by Ellis.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder of radius r and height h is given by:

$V = \pi r^2h = 3.14r^2h$

How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?

This is the combined volume of these 10 fenceposts.

They are each 5 feet tall and have a diameter of 1 foot.

Radius is half the diameter, so $r = \frac{1}{2} = 0.5$ . Also $h = 5$

10 fenceposts:

Each has the same volume, so:

$V = 10(3.14)r^2h = 31.4(0.5)^2(5) = 39.25$

39.25 cubic feet of paint will be needed by Ellis.

6 0

2 years ago

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co

Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

$Minimum\ Area = 135cm^2$

$Maximum\ Area = 155cm^2$

$\pi = 3.14$

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

$Area = \pi r^2$

Where

$r = radius$

$a.\ r = 6cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (6cm)^2$

$Area = 3.14 * 36cm^2$

$Area = 114.04cm^2$

$b.\ r = 7cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (7cm)^2$

$Area = 3.14 * 49cm^2$

$Area = 153.86cm^2$

<em></em>

$c.\ r = 8cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (8cm)^2$

$Area = 3.14 * 64cm^2$

$Area = 200.96cm^2$

$d.\ r = 9cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (9cm)^2$

$Area = 3.14 * 81cm^2$

$Area = 254.34cm^2$

<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>

6 0

2 years ago

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Please help me, I really need help

Dominik [7]

Answer:

23

Step-by-step explanation:

8 0

2 years ago

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