√21 + √13 + √7 + √4 =

Answers

Answer 1

Answer: 13.4796295925
(calculator used)

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Rewrite the set T by listing its elements. Make sure to use the appropriate set notation. T={[ z| z is an interger and -4≤z<0}

Answers

Based on the given above, the set T is composed of the integers that are between -4 and 0; with -4 being included. Rewriting this set by using the Roster Method gives us an answer of,
T = {-4, -3, -2, -1}

Which expressions result in a positive number? Choose all answers that are correct.

A.

B.
–5 – (–5.1)

C.
14 • (–3)

D.
3 + (–7)

Answers

Expression B results in a positive number

Cheerios

If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form

Answers

Remember Volume of a cube is V=s to the power 3. So in exponential form the answer to your question is V=(14 ft) to the power 3. Or without units. V=(14) to the power 3.

When 16x^3 - 12x^2 + 4x is divided by 4x the quotient is

Answers

$16x^3-12x^2+4x=4x(16x^2-3x+1)\n\ntherefore\n\n(16x^3-12x^2+4x):4x=4x(4x^2-3x+1):4x=\boxed{4x^2-3x+1}$

the Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is labor cost as a percentage of Revenue?

Answers

The value of labor cost as a percentage of Revenue is, 32%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

The Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each.

Now,

The total labor cost for 2 workers = 2 × 8 × 40

= $640

Hence, The value of labor cost as a percentage of Revenue is,

⇒ (640/2000) x 100

⇒ 64 / 2

⇒ 32%

Therefore, We get;

The value of labor cost as a percentage of Revenue is,

⇒ 32%

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revenue = $2000
labor cost per worker working 40 hrs = 8 . 40 = 320
for 2 workers = 640
as a % of revenue = ( 640 . 100)/2000 = 32%

What is the factored form of the expression? s4 – 16
A. (s - 2)2(s + 2)2
B. (s - 2)(s + 2)
C. (s - i)(s + i)(s - 2)(s + 2)
D. (s^2 + 4)(s + 2)(s - 2)

Answers

Answer:

$(s^(2)+ 4)$ (s + 2) (s -2).

Step-by-step explanation:

Given : $s^(4) - 16$ .

To find : What is the factored form of the expression.

Solution : We have given that $s^(4) - 16$ .

By $a^(2) - b^(2) = (a-b) (a+b)$ .

$s^(4) - 16$

$(s^(2))^(2) - 4^(2)$ = $(s^(2) -4) (s^(2)+ 4)$

We can write $(s^(2) -4)$ as $s^(2) - 2^(2)$

$s^(2) - 2^(2)$ = (s + 2) (s -2).

Then ,

$(s^(2))^(2) - 4^(2)$ = $(s^(2)+ 4)$ (s + 2) (s -2).

Therefore, $(s^(2)+ 4)$ (s + 2) (s -2).

The factoredform of the expression s^4 - 16 is (s - 2)(s + 2)(s^2 + 4).

Option D is the correct answer.

We have,

To factor the expression s^4 - 16, we can recognize it as the difference of squares.

The term s^4 can be written as (s^2)^2, and 16 can be written as 4^2.

Using the formula for the difference of squares, we have:

s^4 - 16 = (s^2)^2 - 4^2.

Now, we can factor the expression as follows:

s^4 - 16 = (s^2 - 4)(s^2 + 4).

The term (s^2 - 4) is a difference of squares and can be further factored as:

s^2 - 4 = (s - 2)(s + 2).

Therefore,

The factoredform of the expression s^4 - 16 is (s - 2)(s + 2)(s^2 + 4).

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