A rectangular prism has a base that is 4 m by 6 m and a height of 10 m. If all dimensions are doubled, what happens to the volume? Explain why he steps that you take to arrive your answer.

Answers

Answer 1

If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.

What is the Volume of a rectangular prism?

The Volume of rectangular prism = l×b×h

The volume of a prism,

V = L x B x H

V = 4 x 6 x 10

V = 240

When all the dimensions are doubled, the new volume will become

V1 =2L x 2B x 2H

V1 = 8(4 x 6 x 10)

V1 = 8(240)

V1 = 1920 cubic m

If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.

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Related Questions

A small dairy farm writes a business plan. It includes a graph showing the estimated amount of feed used each day in thousands of pounds, y, compared to the number of years since the farm began operating, x.



What does the y-intercept represent?

the estimated amount of years the farm can afford feed
the maximum feed per day estimated for the life of the farm
the estimated amount of feed per day for the start of the farm
the maximum years the farm needs the originally estimated feed per day

Answers

The y intercept means , the estimated amount of feed per day for the start of the farm , Option C is the right answer.

What is a function ?

A function is a law that relates two variables , independent and dependent variable.

It is given that

On y axis , amount of feed used each day in thousands of pounds,

On x axis,  number of years since the farm began operating

The y intercept means x = 0 , which means at the starting of the farm , the feed needed per day.

Therefore Option C is the right answer , the estimated amount of feed per day for the start of the farm.

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4 questions! Write an equation in slope-intercept form for each of the following:
1) Slope -4 ; y-intercept 6
2) Slope 3 ; passes through (2,5)
3) (1,-1) , (-2,0)
4) (0,0) (4 - 3 1/2)
These are practice questions! ASAP!

Answers

1) y= -4x+c

2) y= 3x+c replace x and y to find c , 5=3(2)+c
C= -1
Y=3x-1

3) find slope first m=y2-y1/x2-x1 = 0-(-1)/-2-1 = 1/-3 and now you have y= -1/3x+c to find c just replace any of the given points , 0= -1/3(-2)+c
C= -2/3 and so y= -1/3x-2/3

4) DO THE SAME STEP AS NUMBER 3 and enjoy!

Gaston has budgeted $475.00 for spending money on his trip to Zambia. If the current exchange rate is 1 U.S. dollar:12 Zambian kwacha, how many kwacha will Gaston have to spend?
3,958
4,500
5,700
6,200

Answers

Answer:

3,958 kjksjjdkskdjdjd

Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103

Answers

The correct option is Option A:  x > 38° this statement about x value is true.

Given in triangle ΔNPO the angle ∠ PNM is the exterior b to the interior angle ∠ PNO of the triangle.

Given the angle ∠NPO= 38°

∠PON= 39°

As we know the exterior angle is the sum of the two farthest interior angles of the triangle.

Then we can write the angle ∠PNM as

So, ∠PNM = ∠NPO + ∠PON

⇒ x = 38° + 39° = 77° {Given that ∠ PNM = 38° and ∠ PON = 39°}

{Since the exterior angle of an interior angle is equal to the sum of the other two interior angles of a triangle}

As x=77°

which satisfies the relation x=77° >38°.

Therefore,The correct option is Option A:  x > 38° this statement about x value is true.

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If all angles on two triangles are congruent then can we prove their congruency through ASA? If so what’s the proofs I use

Answers

Answer: No

ASA (Angle-Side-Angle) Congruency Criterion requires 2 Angles and one included Side to be Equal. If we have 3 angles equal we cannot prove 2 Triangles Congruent by ASA. However, we can prove that they are Similar using AAA (Angle-Angle-Angle) Similarity Criterion.

When a range of values is used to estimate a population parameter, it is called a. A point estiamte b. A range estimate c. A statistical parameter d. An interval estimate.

Answers

[tex] \: \huge \underline \mathbb{ \green{Answer}} \\ \\ \: \: \tt \boxed{\blue{d. \: \: an \: \: interval \: \: estimate}}[/tex]

Select the correct answer.
Julissa is printing out coples for a work training. It takes 4 minutes to print a color copy, and It takes 2 minutes to print a grayscale copy. She
needs to print no fewer than 8 coples within 25 minutes.
Which system of Inequalities represents the number of color copies, ×, and grayscale coples, y, that Julissa can print to meet her goal?

Answers

The system of inequalities that represents the number of copies that Julissa can print to meet her goal is given by:

[tex]x + y \geq 8[/tex].[tex]4x + 2y \leq 25[/tex].

What is a system of inequalities?

A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.

The variables are given as follows:

Variable x: Number of color copies.Variable y: Number of gray scale copies.

She needs to print no fewer than 8 copies, hence:

[tex]x + y \geq 8[/tex].

It takes 4 minutes to print a color copy and 2 minutes to print a grayscale copy. She has at most 25 minutes, hence:

[tex]4x + 2y \leq 25[/tex].

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On a separate piece of graph paper, graph y = Ixl - 1; then click on the graph until the correct one appears.

Answers

The function y = |x| - 1 is a translation of 1 unit downwards of the parent absolute value function, and its graph is the first one shown in the images.

How to graph the function?

Here we want to graph:

y = |x| - 1

Notice that if we take the parent absolute value function:

y = |x|

And we translate it one unit downwards, we will get:

y = |x| - 1

Which is the function that we want to graph.

So to select the correct graph, we need to find the one that is the parent absolute value function translated one unit downwards. It is the one with the vertex at (-1, 0), which is the graph that appears on the first image.

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there are 2 quarters 1 nickle and 2 dimes in a pocket what is the probility of choosing a coin not returning it too the pocket and then choosing another of greater value

Answers

The first coin chosen can be either a dime or nickel as the second coin must be of greater value.
P(dime followed by quarter) = 2/5 x 2/4 = 4/20 = 1/5
P(nickel followed by quarter or dime) = 1/5 x 4/4 = 1/5

P(second coin has higher value) = 1/5 + 1/5 = 2/5

what is the degree of the polynomial below?
2 times x squared plus 3 times x plus 1

Answers

Answer:

2

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. In 2x^2 + 3x +1, our highest degree is 2.

8. What least number must be subtracted from 13601 to get a number exactly divisible by 87?

Answers

Answer:

29

Step-by-step explanation:

87×156+29=13601

First do 13601/87=156.3333...
156 × 87 = 13572
13601-13572=29
so, 87×156+29=13601

Answer:

29

Step-by-step explanation:

What least number must be subtracted from 13601 to get a number exactly divisible by 87?

13601 : 87 = 156 and remainder 29

so your answer is 29

---------------

check

(13601 - 29) : 87 =

13572 : 87 = 156

Select the correct answer. Consider the following system of equations.

Answers

Solve for x coordinate of solution

It's after -3 and before -4

Check given value in options and approximate them

5/2=2.5 13/4=3.3

So x coordinate is -13/4

Option C is correct as no one contains -13/4 except C

Answer:

[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]

Step-by-step explanation:

The solution to a system of graphed equations is the point of intersection.

From inspection of the graph:

the x-coordinate of the point of intersection is -4 < x < -3the y-coordinate of the point of intersection is 2 < y < 3

As the x-coordinate is negative, this eliminates answer options A and B.

Assessing the x-coordinate of answer options C and D:

⇒ C.   -13/4 = -3.25

⇒ D.    -5/2 = -2.5

Therefore, as the x-coordinate of the point of intersection is between -4 and -3, the approximate solution of the system of equations is:

[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]

120 is the product of 8 and Julie's score.

Answers

Answer:

Julie's score is 15.

Step-by-step explanation:

This can be solved in two ways:

⇒ 120 ÷ 8

⇒ Experimentation on what × 8 = 120 (adding random numbers until you get 120 as a product).

Let's use the first method.

⇒ 120 ÷ 8

         1 5

   __________

8 |  1  2 0

   -     8

        ____

        4    0

       - 4  0

      ____

       0

Therefore, Julie's score is 15.

PLEASE HELP ME ASAP!

Answers

Answer:

44.7 units of time

Step-by-step explanation:

Note: It seems the question is wrong when it states the relationship of distance. If d is the distance from the ground, at t = 0, we get d = 0 too which means with no time spent, Math Man hits the ground.

It assumed d = t²*0.25 is the distance from the top of the building.

We know the height of the building is 500 meters.

We need to find the value of t, when d = 500 m:

0.25t² = 500t² = 500/0.25t² = 2000t = √2000t = 44.7 units of time (assumed seconds)

Find the value of x ??
A. 31
B. 5
C. 11
D. 25

Answers

I believe the answer is C

A gas mixture has a total pressure of 0.56 atm and consists of He and Ne. If the partial pressure of the He in the mixture os 0.27 atm. What is the partial pressure of the Ne in the mixture?

Answers

The partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.

What is Dalton's law?

Dalton's law states that the total partial pressures of all the gases in a mixture of non-reacting gases at a constant temperature equal the pressure the mixture exerts.

We have:

A gas mixture has a total pressure of 0.56 atm and consists of He and Ne. If the partial pressure of the He in the mixture os 0.27 atm.

According to Dalton's law

Total pressure = partial pressure of He + Partial pressure of Ne

0.56 = 0.27 + P(Ne)

P(Ne) = 0.29 atm

Thus, the partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.

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What is the function written in vertex form? f(x) = 4(x 6)2 10 f(x) = 4(x 6)2 – 26 f(x) = 4(x 6)2 – 134 f(x) = 4(x 6)2 154

Answers

The required vertex form of the given equation is a) [tex]4(x-6)^2 +10[/tex] is correct

the function  [tex]y=4x^2+24x+154[/tex] is given,

What is vertex form?

vertex form of a equation [tex]y=ax^2+bx+c[/tex] is given by [tex]y=a(x-h)^2+k[/tex].

since [tex]y=4x^2+24x+154[/tex]
Now h = - b/2a

   h = -N

Now at x = 0
  k = 10
vector form can be given by  [tex]4(x+6)^2 +10[/tex]

The question is incomplete. The question could be:

what is the correct vertex form of equation [tex]y=4x^2+24x+154[/tex]?
a)[tex]4(x+6)^2 +10[/tex]
b)[tex]4(x-6)^2 -26[/tex]
c)[tex]4(x-6)^2 -134[/tex]
d)[tex]4(x-6)^2 +154[/tex]


Thus, the vector form of the given function is [tex]4(x+6)^2 +10[/tex]

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The average rate of job submissions in a busy computer center is 3 per minute. If it can be assumed that the number of submissions per minute interval is Poisson distributed. Calculate the probability that at least 40 jobs will be submitted in 15 minutes.

Answers

The probability that at least 40 jobs will be submitted in 15 minutes is 0.79162.

The number of jobs submitted per minute follows Poisson Distribution.

A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as  [tex]P(X= x) = e^{-\lambda} \frac{\lambda^{x} }{x!}[/tex] .

In the question, we have the random variable x = 40.

The mean λ = Average jobs per minute*time = 3*15 = 45.

We are to find the probability that at least 40 jobs will be submitted in 15 minutes, which is represented as P(X ≥ 40) = P(X > 39).

P(X > 39) = 1 - P(X ≤ 39) = 1 - poissoncdf(45,39)

As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).

Therefore, P(X > 39) = 1 - 0.20838 = 0.79162.

Therefore, the probability that at least 40 jobs will be submitted in 15 minutes is 0.79162.

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5 14/15 number line rounded to the whole or half

Answers

Answer:

It's rounded to the whole, which is 6.

Step-by-step explanation:

OA x + 2y ≤ 5
and 3x + y ≥ 4
OB. + 2y ≤ 5
and
3x + y ≤ 4
OC. I + 2y 25
and
3x + y ≤ 4
OD. x + 2y 25 and
3x + y ≥ 4
-7-6-5-4-3-2-1
9465
12.3.4.5.6

Answers

Answer:

5

Step-by-step explanation:

5

Please help answer this question asap 3/11

Answers

The matrix elements are nothing more than the matrix entries. The correct option is B.

What is an element in a matrix?

The matrix elements are nothing more than the matrix entries. They can be integers, variables, mathematical formulas, or any other type of character included within the matrix.

The value of a₁₄ is the value of the element of the given matrix, where 1 represents the row and 4 represents the column. Therefore, the value of a₁₄ is the element of the first row and the fourth column, which means the value of a₁₄ is 5.

Hence, the correct option is B.

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please find it and ignore the writing from pen​

Answers

Answer:

18 is answer

Step-by-step explanation:

Answer:

what is business function of beauty

what is the solution to the system of equations below?
3x+y+2z=8
8y+6z=36
12y+2z=12

A. x=2, y=1, z=6
B. x=3, y=0, z=4
C. x=2, y=0, z=6
D. x=3, y=1, z=4

Answers

The solution to the system of equation are x=2, y=0, z=6

System of equations

System of equations are equations that contains unknown variables.


Given the equations

3x+y+2z=8

8y+6z=36

12y+2z=12

From equation 2 and 3

8y+6z=36 * 1

12y+2z=12 * 3

______________

8y+6z=36

36y+6z= 36

Subtract

8y - 36y = 36 - 36

-28y =0

y = 0

Substitute y = 0 into equation 2

8(0)+6z=36

6z = 36

z = 6

From equation 1

3x+y+2z =8

3x + 0 + 2(6) = 8

3x = 8 - 12

3x = 6

x = 2

Hence the solution to the system of equation are x=2, y=0, z=6

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A response variable, Price, is defined as the selling price of a used car. Three predictor variables include, Age, the age of the car in years, Mileage, the mileage of the car in thousands of miles, and Cylinders, the number of engine cylinders. The estimated regression equation is: Price

Answers

The estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders

How to determine the regression equation?

We have:

Predictor variables = 3Variable 1 = AgeVariable 2 = MileageVariable 3 = Cylinders

The regression equation is estimated using:

Price = bo +b1 * Variable 1+ b2 * Variable 2 + b3 * Variable 3

Substitute the variable parameters

Price = bo +b1Age+ b2Mileage + b3Cylinders

Hence, the estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders

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53 points!!! find x. do not round your answer. 5cm 6cm 12cm x

Answers

Answer:

16.6

Step-by-step explanation:

By the property of intersecting secants.

5(5+x) = 6(6+12)

-> 25 + 5x = 6*18

-> 5x = 108 - 25

-> 5x = 83

-> x = 83/5

-> x = 16.6

Please Help Me Answer These

Answers

Answer:

Question 1 : -2 3/4 × 3 1/5 . Change the fractions to improper fraction and multiply .

= -11/4 × 16/5

= -176/20

= -44/5

= -8 4/5

Question 1 answer : -8 4/5

Question 2: -4.6/-2

= -4.6/-2

= 2.3

Question 2 answer : 2.3

Question 3: - 7/8 ÷ (-2)(-4)

= 7/6(-4)

= -7/4

Question 3 answer : -7/4

Question 4 : -4 27/30

= -147/30

= -4.9

Question 4 answer : c

Question 5 : -3 13/20

Question 5 answer : -3.65

Therefore The answer are -8 1/4 , 2.3 , -7/4 , c , -3.65

What is the solution for the equation 36³-26²-5 6³-2
36²-26²-5-6²²-2²


Answers

Answer:

b = 0 and b = 4

Step-by-step explanation:

[tex]\frac{5}{3b^3-2b^2-5}[/tex] = [tex]\frac{2}{b^3-2}[/tex] ( cross- multiply )

2(3b³ - 2b² - 5) = 5(b³ - 2) ← distribute parenthesis on both sides

6b³ - 4b² - 10 = 5b³ - 10 ( subtract 5b³ from both sides )

b³ - 4b² - 10 = - 10 ( add 10 to both sides )

b³ - 4b² = 0 ← factor out b² from each term on the left side

b²(b - 4) = 0

equate each factor to zero and solve for b

b² = 0 ⇒ b = 0

b - 4 = 0 ⇒ b = 4

A fair die is rolled 4 times in succession. What is the probability that the number on each roll is strictly less than the number on the previous roll

Answers

The probability that the number on each roll is strictly less than the number on the previous roll is 7/72

The number of such results in which each number is not less than the previous number will be equal to the number of ways of choosing 4 numbers out of 6 with replacement; regardless of order!

Let us choose any such set of size 4, say {2, 1, 1, 3}. we can sort it to get the sequence {1,1,2,3}, which is one of our desired results. Thus, each sequence ordered in this way corresponds to one selection of size 4, with replacement and regardless of order.

The number of such selections will be equal to the number of solutions to the following equation:

x1 + x2 + x3 + x4 + x5 + x6 = 4

where:

x1: number 1 in selections

x2: number of 2s in selection

.

.

x6: number of 6s in selection

The number of unique solutions of such an equation = 9, choose 5 = 126

Number of possible outcomes = 6^4 = 1296

Probability of favorable results = 126/1296=7/72

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Each child ticket for a ride costs $3, while each adult ticket costs $5. if the ride collected a total of $115, and 33 tickets were sold, how many of each type of ticket were sold

Answers

There were 8 of the $5 and 25 $3

Which of the following is the appropriate notation when calculating
conditional probabilities?
A. P(EF)= P(E)+ P(F)- P(EUF)
B. P(EIF)=P(EnF)
P(F)
OC. P(EIF)=P(EA)
P(E)
D. P(EUF)=P(E) + P(F)-P(EF)
SUBMIT

Answers

The following are the appropriate notations is P(EIF)=P(E n F) / P(F).

What is Conditional Probability?

Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.

As, from the property of conditional probability

P(EIF)=P(E n F) / P(F)

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