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he volume of a rectangular prism is 128 cubic centimeters. The area of the base of the prism is 8 square centimeters. What is the height of the prism? The height of the prism is cm.

Answer:

[tex]x^{21/5}[/tex]

Step-by-step explanation:

Step 1: Convert [tex]\sqrt[5]{x^{7}}[/tex] into exponential form

[tex]((x^7)^{1/5})^{3}[/tex]

Step 2: Mulitply the 2 exponents together

[tex](x^{7/5})^{3}[/tex]

Step 3: Multiply the exponents again

[tex](x^{7/5})^{3}[/tex] = [tex]x^{21/5}[/tex]

Answer:

C). Zero

Step-by-step explanation:

This is a pretty simple question.

Any number multiplied by zero will be zero, and zero cannot have a positive or negative sign, which is why zero has its own sign, which is known as the Sign of Zero.

Answer:

Step-by-step explanation:

x^4 – 16x^3 + 96x^2 – 256x + 256

terms with odd exponents are negative

x^4 has a coefficient of one, so the expression's GCF is 1

Thus, we need to factor out the expression as it is:

(x-4)*(x-4)*(x-4)*(x-4)

Lets multiply it out to check:

(x-4)*(x-4)*(x-4)*(x-4)=

(x^2-8x+16)*(x^2-8x+16)=

x^4−8x^3+16x^2−8x^3+64x^2−128x+16x^2−128x+256=

x^4 – 16x^3 + 96x^2 – 256x + 256

thus, the factored form is:

(x-4)*(x-4)*(x-4)*(x-4) or (x-4)^4

Answer:

[tex]6\:\mathrm{pages}[/tex]

Step-by-step explanation:

[tex]3 \times 4 = 12[/tex]

[tex]1\frac{1}{2} \times 4=6[/tex]

Answer:

6 pages

Step-by-step explanation:

1.5 pages         x pages

--------------- = ------------

3 minutes         12 minutes

Using cross products

1.5 * 12 = 3x

Divide each side by 3

18 /3 = 3x/3

6 =x

6 pages

Answer:

A

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 13 and h = 4 , thus

A = [tex]\frac{1}{2}[/tex] × 13 × 4 = [tex]\frac{1}{2}[/tex] × 52 = 26 units² → A

Answer:

A, 26

Step-by-step explanation:

Since the area of a triangle is one half base times height, and we have our height as 4, and our base as 13, we get 1/2 * 13 * 4, which is equal to 13 times 2, which is 26. Thus, our answer is A, 26.

Answer:

The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Step-by-step explanation:

The data provided is as follows:

X     Frequency

8        0

8.1        0

8.2        2

8.3        2

8.4        2

8.5        3

8.6        0

8.7         1

8.8        0

8.9         1

 9           0

So, the actual data is:

S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

The data set is arranged in ascending order.

The minimum value is, Min. = 8.2

The lower quartile is,

[tex][\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3[/tex],

Q₁ = 8.3.

The median value is,

[tex][\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4[/tex]

Median = 8.4

The upper quartile is,

[tex][\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5[/tex],

Q₃ = 8.5.

The maximum value is, Max. = 8.9.

So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Answer:

The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Step-by-step explanation:

I took the practice test

Answer:

x ≈ 6.9

Step-by-step explanation:

We use tan∅ to solve this:

tan21° = x/18

18(tan21°) = x

x = 6.90955

Answer:

A. without changing the setting of the compass, place the point of the compass on point D and drawn out the intersects line L and extends below line L.  

Step-by-step explanation:

In the figure attached, the procedure is shown.

In this case, we are at step 2, the first arc was made, and you have to make the second arc (without changing the setting of the compass) placing the point of the compass on point D.

Answer:

A. True

Step-by-step explanation:

The locus of points idea allows you to define objects in terms of points and given distances.

Answer:

True

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

m = least prime number = 2

n = least positive integer multiple of 12 = 12

n - m = 12 - 2 = 10

Answer:

10

Step-by-step explanation:

2 is the least prime number because it is not a product of any two smaller natural numbers. m=2

12 is the least positive integer multiple of 12. n=12

12-2=10

Answer:

Perimeter of the rectangle is 16x+18 units.

Step-by-step explanation:

The area of rectangle is

[tex]7x^2+57x+8[/tex]

First we have to find the factor form of above expression.

Splitting the middle term, we get

[tex]7x^2+56x+x+8[/tex]

[tex]7x(x+8)+1(x+8)[/tex]

[tex](x+8)(7x+1)[/tex]

Area of a rectangle is the product of its dimensions. It means dimensions of the rectangle are (x+8) and (7x+1).

Perimeter of a rectangle is

[tex]Perimeter=2(l+b)[/tex]

[tex]Perimeter=2[(x+8)+(7x+1)][/tex]

[tex]Perimeter=2[8x+9][/tex]

[tex]Perimeter=16x+18[/tex]

Therefore, the perimeter of the rectangle is 16x+18 units.

Step-by-step explanation:

There it is..................

Answer:

(2,5)

Step-by-step explanation:

Answer:

integers, rational numbers

Explanation:

Integers are any whole number (positive or negative). -5 is a whole number, not a fraction or decimal.

Rational numbers can be written in the fraction form a/b where a and b are both integers and b does not equal 0. -5 can be written as -5/1.

There are two sets of real numbers that include the number -5. which represents integers and rational numbers.

A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.

It can be a/b of two integers, a numerator a, and a non-zero denominator b.

Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.

The result is rational because -5, can be expressed as a ratio of two integers that can be -5/1 of two integers, a numerator 5, and denominator 1 ( which is a non-zero).

There are two sets of real numbers that include the number -5.

It represents Integers and rational numbers.

Hence, the correct answer would be Option (C).

Learn more about Integers here :

brainly.com/question/1768254

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Answer:

-80

Step-by-step explanation:

Solve for x for the x value.

Answer:

Input interpretation:

solve x×4 x - 4 - 3 x^2 - 16 = 6 x + 4 - 112×372 - 432×112

Results:

x = 3 - i sqrt(90015)

x = 3 + i sqrt(90015)

Answer:

8.5

Step-by-step explanation:

For this we will use trigonometry.

First lable the diagram: 13 will be the hypotenuse (H), x will be the opposite(O). Therefore, we will use sin as it is SOH.

sin Θ = [tex]\frac{O}{H}[/tex]

sin 41 = [tex]\frac{x}{13}[/tex]

x = 13 sin 41

Type this into the calculator, then you will get 8.5287677377. Round this to the nearest tenth will be 8.5.

As the question does not give any units, there will be no need to write any units after the answer.

Hope this helps

Answer: 8.53

Step-by-step explanation:

Calculated based on 2 given angles and 1 given side.

∠C = 180° - A - B = 49°

x = hypoteneuse·sin(A)/sin(B) = 8.53

Answer:

C. mean =225.25, median= 212.5

Step-by-step explanation:

You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5

Answer:

C. mean =225.25, median= 212.5

Step-by-step explanation:

Answer:

c  sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)

Step-by-step explanation:

The distance formula is

d = sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)

It is the difference between the coordinates.  It is based on the Pythagorean theorem

Answer:

Solution,

X=8

y=4

Now,

[tex] \frac{x + 10}{y + 5} \\ = \frac{8 + 10}{4 + 5} \\ = \frac{18}{9} \\ = 2[/tex]

hope this helps...

Good luck on your assignment..

Answer:

[tex]8x^{2} -3x-5[/tex]

Step-by-step explanation:

[tex]8x^{2} +4x+4-7x-9[/tex]

[tex]8x^{2} +4x-7x+4-9[/tex]

[tex]8x^{2} -3x-5[/tex]

Answer:

The answer is A because the quadratic equation formula

Step-by-step explanation:

because the quadratic equation formula is

ax^2+bx+c=0

and when you sub A into it, you get it in the needed form

Answer:

The Answer is A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The equation of the perpendicular bisector will be y = -x + 2. The correct option is A.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The slope of the line is,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -8 + 12 ) / ( 10 - 6 )

Slope = 4 / 4

Slope = 1

The slope of the perpendicular line will be inverse and opposite,

y = mx + c

y = -x + c

-8 = -10 + c

c = 2

The equation can be written as,

y = mx + c

y = -x + 2

To know more about an equation of the line follow

https://brainly.com/question/18831322

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First divide 36 by 9 and get 4, now you have your number of minutes per song. Now multiply that by 20 to get 80 minutes for 20 songs.

In short: 80 minutes for 20 songs.

X-4 /3 > -5

Multiply both sides by 3

X-4 > -15

Add 4 to both sides

X > -11

Answer:

[tex] \frac{x - 4}{3} > - 5[/tex]

[tex]x - 4 > 3 \times ( - 5)[/tex]

[tex]x - 4 > - 15[/tex]

[tex]x > - 15 + 4[/tex]

[tex]x > - 11[/tex]

Step-by-step explanation:

Answer:

the answer is true

Step-by-step explanation:

Because a parallelogram would be the result.

Answer:

Smallest angle - ∠M

Largest angle - ∠N

Step-by-step explanation:

In a triangle opposite side of a largest angle is largest and opposite side of a the smallest angle is smallest.

In the given triangle LMN,

Side lengths of the triangle have been given as,

LM = 27 in.

MN = 25 in.

LN = 24 in.

Relationship in these sides will be,

LM > MN > LN

Therefore, relationship in their opposite sides will be,

∠N > ∠L > ∠M

The smallest angle of the triangle is angle M.

And the largest angle of the triangle is angle N.

Answer:

45 + c = 110

c = 65

Step-by-step explanation:

110 - 45 = 65

Please mark as brainliest!

Answer:

They need to wash 65 more cars to reach their goal.

Step-by-step explanation:

45+c=110

subtract 45 from both sides

c=65

Answer:

(1) Correct option (A).

(2) The probability that Aadi will get Tails is 0.40.

Step-by-step explanation:

The information provided is:

The probability of tail in both cases is:

[tex]P(T|E)=\frac{3}{10}=0.30[/tex]

[tex]P(T|S)=\frac{20}{50}=0.40[/tex]

Here,

P (T|E) implies the probability of tail in case of Eric's experiment.

P (T|S) implies the probability of tail in case of Sue's experiment.

(1)

Now, it is given that Aadi is going to throw the coin once.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the probability of Aadi getting Tails in a single toss.

As Sue uses a larger number of trials in the experiment, i.e. n = 50 > 30 times, according to the Central limit theorem, Sue's estimate is best because she throws it .

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

[tex]P(\text{Aadi will get Tails})=P(T|A)[/tex]

                                   [tex]=P(T|S)\\\\=0.40[/tex]

Thus, the probability that Aadi will get Tails is 0.40.

Answer:

The correct answer is C and 23/60

Step-by-step explanation:

Sue's estimate is best because she throws it more times than Eric.

This is because the more you throw a coin the more reliable the results will be compared to data from a coin that has been thrown less, therefore the answer is C.

For the second half you need to add the number of tails together to get you numerator and then add the amount of times the coin was thrown to get your denominator, (giving you 23/60)

Hope this helped :)

Answer:

(B) The electrician charges $40 per hour.

Step-by-step explanation:

Total cost=fixed cost + variable cost

F(x)=60+40x

Fixed cost =60

Variable cost=40x

x=hours of service

40=40 dollar per hour charge

The coefficient 40 represent the electrician charge of $40 per hour

(B) The electrician charges $40 per hour.