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2 years ago

Simplify 5 with the power of 3 and 2.5 with the power of 2. Help fast please!!!

Mathematics

1 answer:

Mars2501 [29]2 years ago

6 0

5^3=125; 2.5^2=6.25. So the answer to your first question is 125, and the second one is 6.25

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A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha

PtichkaEL [24]

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = $\frac{4}{3} \pi r^2$

Substitute 1 in for r

$\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi = 4.189$ = Volume

Finding the Height of a Cone

Volume formula for Cone: $V = \pi r^2\frac{h}{3}$

Solve for h

Multiply both sides by 3, then divide by pi and r^2.

$h = \frac{3V}{\pi r^2}$

Plug in the volume and the radius.

$h = \frac{3(4.189)}{\pi (1)^2}$

Simplify

$h = \frac{12.567}{\pi }$

h ≈ 4

4 is approximately the height.

#TeamTrees #PAW (Plant And Water)

6 0

2 years ago

Simplify the expression (2x − 9)(x + 6)

kenny6666 [7]

Answer:

Simplified form of given expression (2x – 9 )( x + 6 ) is $2 \mathrm{x}^{2}+3 \mathrm{x}-54$

Solution:

We need to simplify following expression.

(2x – 9) ( x + 6)

For sake of simplicity lets first assume 2x – 9 = A

So expression becomes A(x+6)

= Ax + A6

Now replace A by 2x – 9

= (2x – 9 ) x + (2x – 9 ) 6

$=2 \mathrm{x}^{2}-9 \mathrm{x}+12 \mathrm{x}-54$

On simplification, we get

$=2 \mathrm{x}^{2}+3 \mathrm{x}-54$

Hence simplified form of given expression (2x – 9 )( x + 6 ) is $= 2 \mathrm{x}^{2}+3 \mathrm{x}-54$

7 0

2 years ago

What is the simplified form of 15x^8/24y^5 divided by 4x^4/8y^2

Reika [66]

(24y^5)/(15x^8) * 4x^4/(8y²)

Reduce the common factors for the numerator and denominator and multiply the fractions altogether to get... 

24/8 * y^(5 - 2) * 4/15 * 1/x^(8 - 4) 
= 3y³ * 4/15 * 1/x^4 
= 4y³/(5x^4) 

I hope this helps!

6 0

2 years ago

Read 2 more answers

Amy is doing a science experiment on how a certain bacterium reacts to an antibiotic. She has 3 dishes of identical bacterium sa

Katarina [22]

ANSWER EQUALS 567. I THINK

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2 years ago

Three employees each clocked a different number of hours worked this week which employees has the highest earning per hour

adoni [48]

There ya go hope it helps