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3 years ago

What is the square root of 49

Mathematics

2 answers:

stira [4]3 years ago

7 0

The square root of 49 is 7

Airida [17]3 years ago

3 0

The square root of 49 is 7 because 7*7=49. :D

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An experiment involves selecting a random sample of 256 middle managers for study. One item of interest is their annual incomes.

lesantik [10]

Answer:

the standard error is 153.125

Step-by-step explanation:

given that

The random sample is 256

The sample mean is $35,420

And, the standard deviation is $2,450

We need to find out the standard error

We know that

= standard deviation ÷ √random sample

= 2450 ÷ √256

= 2450 ÷ 16

= 153.125

Hence, the standard error is 153.125

7 0

3 years ago

Find the volume of a rectangular prism with the width of x-1, a length of x+1 and a height of 2x-3.

Damm [24]

Answer:

The Volume is equal to 2x^3-3x^2+2x-3

Step-by-step explanation:

Formula for the volume of a rectangular prism is V=WHL

We know that:

W=x-1

L=x+1

H=2x-3

So, V= (x-1)(x-1)(2x-3)

Simplify

(x^2+1)(2x-3)

2x^3-3x^2+2x-3

8 0

3 years ago

You just obtained a credit card. You immediately purchase a stereo system for $200. your credit limit is $1000. Let's assume tha

deff fn [24]

Answer:

i think the answer is:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Which expression is equivalent to 7a^2b + 10a^2b^2 + 14a^2b^3?

vladimir1956 [14]

7a^2b + 10a^2b^2 + 14a^2b^3 =
a^2b (7 + 10b + 14b^2) <==

3 0

3 years ago

Read 2 more answers

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago