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3 years ago

Write 125 as a repeated multiplication 5s. Then write it as a power.

Mathematics

2 answers:

Maru [420]3 years ago

7 0

Answer:

125 = 5 * 5 * 5 = 5^3

Step-by-step explanation:

125 is equal to 5 times 5 times 5, and a power is a way to write repeated multiplication, just by saying what number it is and the putting a ^ sign and then saying how many times there is that number. There is 5 three times, so the power is 5^3.

k0ka [10]3 years ago

4 0

Answer:

5*5*5*

Power: 5^3 or 5

Step-by-step explanation:

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Verify the identity. cot(x - pi/2) = -tan(x)

gizmo_the_mogwai [7]

Answer:

See below.

Step-by-step explanation:

$\cot(x-\frac{\pi}{2})=-\tan(x)$

Convert the cotangent to cosine over sine:

$\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)$

Use the cofunction identities. The cofunction identities are:

$\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)$

To convert this, factor out a negative one from the cosine and sine.

$\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)$

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

$\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)$

8 0

3 years ago

Which of the following represents 2x-5y+15=o written in slope-intercept form? Y=-2/5x+3. Y=2/5x-3. Y=2/5x+3

likoan [24]

The second one is the correct answer.

4 0

3 years ago

What is <br> 2x+y=0 5x+3y=-11

miv72 [106K]

$2x+y=0\qquad\text{subtract 2x from both sides}\\\\y=-2x\\\\\text{Put it to the second equation}\ 5x+3y=-11:\\\\5x+3(-2x)=-11\\\\5x-6x=-11\\\\-x=-11\qquad\text{change the signs}\\\\\boxed{x=11}\\\\\text{Put the value of x to the first equation:}\\\\y=-2(11)\\\\\boxed{y=-22}\\\\Answer:\ \boxed{x=11\ and\ y=-22}$

4 0

3 years ago

If the world's population increased exponentially from billion in 1998 to billion in 2008 and continued to increase at the same

Gelneren [198K]

Answer:

The answer is "7.122 billion"

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

$\to y=Ce^{kt}$

$C=5.937\\\\y=6.771\\\\t=10\\\\ k=?6.771=5.937e^{10k}\\\\1.1405=e^{10k}\\\\\ln(1.1405)={10\ k}\\\\0.013={k}\\\\$

So,

$\to y=5.937e^{.013t}\\\\$

when it becomes $2012, \ t=14$ so plug the value into the formula

$\to y= 5.937e^{.013(14)} =7.122 \ billion$

7 0

3 years ago

Find the value of x. Write your answer in simplest form.

slega [8]

Answer:

x = (9/2)√2

Step-by-step explanation:

The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:

cos 45 degrees = x/9

To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2). Rationalizing the denominator, we get x = (9/2)√2

7 0

3 years ago