find the volume of a 4 ft by 2 ft by 3 ft rectangular prism with a cylindrical hole, radius 6 in., through the center

Answers

Answer 1
Answer: V = lwh - πr²h
V = (4)(2)(3) - 3.14(¹/₂)²(3)
V = (8)(3) - 3.14(¹/₄)(3)
V = 24 - 3.14(³/₄)
V = 24 - 2.355
V = 21.645 ft³
V = 259.74 in³

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What single decimal multiplier would you use to increase by 9% followed by a 6% decrease?

Answers

Answer:

0.9646

Step-by-step explanation:

:)

9646 pretty sure thats right

A coin of questionable fairness is tossed 10 times per set of trials for two sets of trials. The outcomes are THTHTHTHHT and TTTHTTHTTH (T = Tails; H = Heads). Which model can you most likely rule out on the basis of this simulation?A.The probability of heads is 40%.
B. The probability of heads is 30%.
C. The probability of heads is 35%
D. The probability of heads is 70%

Answers

Answer:

Therefore, The correct option is A. The probability of heads is 40%  

Step-by-step explanation:

First set of trials : THTHTHTHHT ( T = Tails ; H = Heads)

Number of heads = 5

Number of outcomes = 10

Second set of trials : TTTHTTHTTH

Number of heads = 3

Number of outcomes = 10

Now, Total number of heads in the two tosses of the coin = 5 + 3 = 8

Total number of outcomes in the two tosses of the coin = 10 + 10 = 20

\text{So, Probability of heads = }(8)/(20)* 100=40\%

Therefore, The correct option is A. The probability of heads is 40%

Can Anybody Help With Geometry Work?

Answers

the answer would be AAG

Given the function y = 3x + 5, find the range if the domain is {-4, -1, 2, 5}

Answers

Answer:

range is {‒7, 2, 11, 20}

Step-by-step explanation:

a y=3(‒4)+5 c y=3(2)+5

=‒12+5 =6+5

= ‒7 =11

b y=3(‒1)+5 d y= 3(5)+5

=‒3+5 =15+5

=2 =20

so the range is {‒7, 2, 11, 20}

i think it is clear answer i hope it helps you

PLEASE HELP MEEEEEEEEEEEEE

Answers

Answer: 20 ft

Step-by-step explanation:

The mirror is set away from the flagpole on the same scale set away from her.

The distance she stand's away from the mirror is 1/4 of the length of the distance between the mirror and the flag pole because she's 1/4 of the flagpole's size.

This means her size x4 is the size for the flag pole. This checks out because 12x4=48

So to find the height we must do 5x4

5x4=20

What is the simplified value of the exponential expression 16^1/4?

Answers

The simplified value of the exponential expression 16^(1)/(4)is 2.

What does Fractional power mean for an integer?

Fractional power implies the root of the strength of the denominator of that integer.

For example: a^(1)/(n)=\sqrt[n]{a}.

Given here the exponential expression is 16^(1)/(4)

So here a=16,n=4

We know that, 2^4=16

Thus, 16^(1)/(4)=\sqrt[4]{16}=\sqrt[4]{2^4}=2

Hence the equivalent value of the given expression 16^(1)/(4) is 2.

Learn more about Fractional Power here -

brainly.com/question/13689764

#SPJ2

Answer

2

Explanation

First, we are going to use the law of fractional exponents: a^{(1)/(n) =\sqrt[n]{a}

We can infer form our expression that a=16 and n=4, so let's replace the values:

a^{(1)/(n) =\sqrt[n]{a}

16^{(1)/(4) }=\sqrt[4]{16}

Notice that we can also decompose 16 into prime factors to get 16=2^4, so we can rewrite our expression as follows:

\sqrt[4]{16}=\sqrt[4]{2^4}

Finally, we can use the rule of radicals: \sqrt[n]{a^n} =a, so:

\sqrt[4]{2^4}=2