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3 years ago

Rachel and Sean had the same number of marbles. Rachel gave away

Mathematics

1 answer:

GrogVix [38]3 years ago

4 0

Answer:

They had 98 marbles

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Which is equivalent to square root 10^3/4x?

iren2701 [21]

Answer:

5√(10/x)

Step-by-step explanation:

√10^3/4x

= √10^3 / √4x

= 10√10 / 2√x

=(10/2)√(10/x)

= 5√(10/x)

7 0

3 years ago

Evaluate 2⋅(5^8/5^5)

gayaneshka [121]

First, you have to solve what is in the parentheses which also requires simplifying the exponents

2(390625/3125)

Now we can simplify everything in the parentheses

2(125)

Now just distribute into parentheses which is 250

3 0

3 years ago

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

The graph shows the number of jump ropes produced in a toy factory over a period of 8 hours.

Mariana [72]

Answer: 400, 1

Step-by-step explanation:

6 0

3 years ago

Jane and Lee had dinner at The Palace The bill totaled $20 30 with tax The service

kirza4 [7]

Answer:

$3.45

Step-by-step explanation:

$20.30 / 10 = $2.30 = 10%

$2.30 / 2 = $1.15 = 5%

$2.30 + $1.15 = $3.45 = 15%

3 0

4 years ago