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3 years ago

A sphere has a radius of 12 centimeters.

Mathematics

1 answer:

GuDViN [60]3 years ago

7 0

The volume is 7238.23 $cm^{3}$

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If 2^(x+3) - 2x = k(2^x) what is the value of k

svlad2 [7]

Answer:

$\large\boxed{C)\ 7}$

Step-by-step explanation:

Use:

$a^n\cdot a^m=a^{n+m}$

$2^{x+3}-2^x=2^x\cdot2^3-2^x=8\cdot2^x-2^x=(8-1)\cdot2^x=7\cdot2^x\\\\2^{x+3}-2^x=k(2^x)\\\\7\cdot2^x=k(2^x)\Rightarrow k=7$

$8\cdot2^x-2^x=8\cdot2^x-1\cdot2^x=(8-1)(2^x)=7\cdot2^x\\\\\text{distributive property:}\ a(b-c)=ab-ac$

8 0

3 years ago

Kanye and jay wanted to see who could run faster in a minute.They both started in the same spot and ran in different directions.

Lena [83]

Answer:

Kanye run faster.

Step-by-step explanation:

Given that,

Time = 1 min = 60 sec

Suppose, we find the speed of kanye and Jay.

According to number line,

Kanye covers the -160m distance and Jay covers the 140 m distance.

Negative sign shows the opposite direction.

We need to calculate the speed of Kanye

Using formula of speed

$v=\dfrac{d}{t}$

Where, v = speed

d = distance

t = time

Put the value into the formula

$v=\dfrac{160}{60}$

$v=2.66\ m/s$

We need to calculate the speed of Kanye

Using formula of speed

$v=\dfrac{d}{t}$

Put the value into the formula

$v=\dfrac{140}{60}$

$v=2.33\ m/s$

The speed of kanye is more than jay.

Hence, Kanye run faster.

6 0

3 years ago

How do you solve that?

Aleks [24]

Put it in the form

ax^2 + bx + c = 0

use the quadratic formula

x = [ -b + sqrt( b^2 - 4 ac ) ] / 2a

x = [ -b - sqrt( b^2 - 4 ac ) ] / 2a

7v^2 - 7v - 22 = 0

a = 7
b = -7
c = -22

v = [ 7 + sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = 2.34

v = [ 7 - sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = -1.34

7 0

3 years ago

Read 2 more answers

Norah has $50,000 to invest. She is considering two investment options. Option A pays 1.5% simple interest. Option B pays 1.4% i

NikAS [45]

Answer:

<u>Option A</u>

5 years: $53,750

10 years: $57,500

20 years: $65,000

<u>Option B</u>

5 years: $53,599

10 years: $57,458

20 years: $66,028

6 0

3 years ago

Read 2 more answers

Copy and complete statement

irakobra [83]

Answer:

sqrt(64) > 5

Step-by-step explanation:

sqrt(64) = 8; therefore

sqrt(64) > 5

3 0

3 years ago