The crunchy cereal company has a certain size box with the following dimensions. Length equals X +3, width equals X -4, and height equals 2X +3. What is the expression for the volume of the box?

Answers

Answer 1

The expression for the volume of the box based on dimensions is 2x³ + x² - 27x - 36.

The volume of the box refers to the product of all the dimensions, which implies its capacity to contain any material. Thus, the formula to calculate volume will be -

Volume = length × width × height

Keep the values in formula

Volume = (x + 3) × (x - 4) × (2x + 3)

Performing multiplication

Volume = (x² - 4x + 3x - 12) × (2x + 3)

Simplify the product

Volume = (x² - x - 12) × (2x + 3)

Multiply again

Volume = 2x³ + 3x² - 2x² - 3x - 24x - 36

Simplify the equation again

Volume = 2x³ + x² - 27x - 36

Hence, the expression for the volume is 2x³ + x² - 27x - 36.

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Related Questions

the within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Group of answer choices
Scores in each of the actual groups studied
Mean of the groups minus the mean of the scores of the actual groups
Equal to the between-groups estimate of population variance
Means of the groups studied

Answers

The within-group estimate of variance is the estimate of the variance of the population of individuals based on the variation among the scores in each of the actual groups studied.

The within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Scores in each of the actual groups studied.
This estimate represents the variation within each group and helps in understanding the population's variance by looking at individual differences within the groups.

The estimated within-group variance is the sum of the within-group variances for each group in the model. Effectively, this is the sum of the variance of each value (j) from its group (i) divided by the sample size minus one.

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A real estate agent wants to determine how the sale price of houses in a city are related to the area, in square meters, the number of bedrooms, and the age of each house, in years. What is the correct format for a multiple regression equation

Answers

The Multiple regression equation is,

Sale price = β0 + β1 × Area + β2 × Number of bedrooms + β3 × Age + ε

where Sale price is the dependent variable, Area, Number of bedrooms, and Age are the independent variables, β0 is the intercept, β1, β2, and β3 are the regression coefficients, and ε is the error term.

A multiple regression equation takes the form:

Sale price = β0 + β1 × Area + β2 × Number of bedrooms + β3 × Age + ε

The regression coefficients represent the change in the dependent variable for a one-unit change in the corresponding independent variable, while holding all other variables constant.

The intercept represents the expected value of the dependent variable when all independent variables are equal to zero.

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How to calculate the Perimeter of a rectangle with length 7ft and width 3ft

Answers

Answer:

Multiply each measurement by 2 then add them together

          OR

Add 7 + 3 and multiply by 2

Step-by-step explanation:

Answer would be 20ft

If two coins are tossed once, which is not a possible value of the random variable for the number of heads
A. 0
B. 1
C. 2
D. 3​

Answers

If we toss two coins is impossible to get 3 heads (we can get between 0 and 2). So the correct option is D.

Which ones are the possible outcomes?

For two tossed coins, the possible outcomes are:

Coin 1,  Coin 2.head    tailshead     headtails       tailstails       head.

So there are 4 possible outcomes.

in 1, we get 0 heads.in 2, we get 1 headin 1, we get 2 heads.

Then the value of the random variable for the number of heads that is not possible, is the one in option D, 3.

If we toss two coins is impossible to get 3 heads (we can get between 0 and 2).

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find the decimal equivalent to 5 8/20

Answers

Answer:

5 8/20 in decimal

5.4

Step-by-step explanation:

to determine the dose-related effects of amphetamine on maze running, dr. symon randomly assigns his rats into four groups. the first group receives no amphetamine, the second group receives 0.5 mg/kg, the third group receives 1.0 mg/kg, and the fourth group receives 2 mg/kg. what initial statistical test should dr. symon use to examine the effects of the drug?

Answers

Analysis of variance (One-Way ANOVA) test should dr. Symon uses to examine the effects of the drug.

Randomly assign his rats into 4 groups G1, G2, G3 and G4.

G1 = No amphetamine

G2 = 0.5 mg/kg

G3 = 1.0 mg/kg

G4 = 2 mg/kg.

what initial statistical test should dr. symon use to examine the effects of the drug?

In order to ascertain whether there is statistical support that the associated population means are statistically significantly different, one-way ANOVA ("analysis of variance") compares the means of two or more independent groups. A parametric test is one-Way ANOVA.

Another name for this test is:

ANOVA with one factor

ANOVA with a single-way analysis of variance between subjects

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What is the value of x in the equation?

Two-thirds (x + 6) = negative 18

Answers

Answer:

the answer is x= -33

Step-by-step explanation:

The area of a trapezoid with bases b1 and b2 and height h is 1 2 (b1+b2)h. Eliana has a stained-glass window in her house that is shaped like a trapezoid. The window has a height of 4 feet and bases of 3 feet and 4 feet. What is the area of the window?

Answers

The area of the trapezoid-shaped window in Eliana's house is: 14 sq. ft.

Area of Trapezoid

Area of Trapezoid = 1/2(b1 + b2) × h

Given the dimensions of trapezoid-shaped window as:

Height (h) = 4 feet

Bases = 3 feet and 4 feet.

Therefore:

Area of Trapezoid = 1/2(3 + 4) × 4

Area = 14 sq. ft.

Therefore, the area of the trapezoid-shaped window in Eliana's house is: 14 sq. ft.

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Discuss THREE ways on how bad behaviour in sport in a country can
dampen nation building.
(3 x 2) C
Fynlain
ba
ode
f
othie
in.
enorts can encourage positive​

Answers

Answer:

Step-by-step explanation:

chicken

HELP!!!!!!!!!!!!!!!!!!!!!!! 20 points. Branityist if RIGHT!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Val is going to plant b vegetable seeds in one garden and 5b+8 vegetable seeds in another. How many seeds is Val going to need?

Answers

Answer:

Val will need 6b+8 seeds

Step-by-step explanation:

Let's say, Val will plant 2 seeds in one garden, and 4 seeds in another garden. How many seeds does Val need?

Well, the answer to that is simple- it's just 2+4, which is 6.

For this question, we use a similar method. Just add 5b+8 to b.

b+5b+8 = 6b+8

Let me know if this helps!

1 1/2 divided 1 1/4 which of the following is equivalent to this expression?

Answers

The expression equivalent to the given expression is 6/5.

What is an algebraic expression?

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations such as addition, multiplication, division, etc.

The given statement is "1 (1/2) divided by 1 (1/4)".

Write the expression in mathematical form and simplify:

1 (1/2) ÷1 (1/4)

(3/2) ÷ (5/4)

(3/2) × 4/5

6/5

Hence, the expression equivalent to the given expression is 6/5.

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Answers: yes AA similarity theorem, Yes ASA similarity theorem, Yes SAS similarity theorem, No

Answers: yes AA similarity theorem, Yes ASA similarity theorem, Yes SAS similarity theorem, No

Answers

Answer:

No

Step-by-step explanation:

I THINK THE RIGHT ANSWER IS RHS THEOREM.

to get the total number of iterations in a nested loop, add the number of iterations in the inner loop to the number in the outer loop.
A. True
B. False

Answers

`To get the total number of iterations in a nested loop, add the number of iterations in the inner loop to the number in the outer loop, Which is a False statement.

Loops inside the loops are known to be "nested".These nested loops are used for working with two dimensions which are printing stars in rows and columns.

When a loop is nested inside another loop, the inner loop will run many times inside the outer loop. In every iteration of the outer loop, the inner loop will be re-started.

The inner loop should be finished with all of its iterations before the outer loop can continue to its next. In a nested loop, the external loop goes through all of its iterations for each iteration of the inner loop.

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The engineer's model of a sugar factory has a floor area of 30 inches by 52 inches. The floor area of the model is __________ square feet.

Answers

The floor area of the engineer's model of the sugar factory is 10.825 square feet.

To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.

The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.

To find the floor area, we multiply the length by the width:

Area = Length × Width

= 2.5 feet × 4.33 feet

= 10.825 square feet

It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.

In actuality, a sugar factory would have much larger dimensions.

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Statistics suggest that many people with a disability are Group of answer choices c) an undereducated and underemployed minority group. d) better off than nondisabled Americans. b) well taken care of by their families. a) well taken care of by the government.

Answers

Option c) "an undereducated and underemployed minority group" is the most accurate representation based on available statistics and research.

The statement that statistics suggest that many people with a disability are "an undereducated and underemployed minority group" (option c) is generally supported by research and data. People with disabilities often face challenges in accessing education and employment opportunities compared to their nondisabled counterparts. Studies have shown that individuals with disabilities have lower educational attainment levels and higher rates of unemployment or underemployment. They may encounter barriers related to discrimination, lack of accessibility, and limited accommodations in education and employment settings. Option c) "an undereducated and underemployed minority group" is correct.

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Why is the sum of a rational number and a irrational number always irrational

Answers

Answer:

A rational number is a number able to be put into a fraction, an irrational number is not able to be. Therefore, when adding the two, the rational and the irrational will be irrational. For example, 2 is a rational number, and 1.8903 is irrational. If you add the two, you will get 3.18903, which is unable to be put into a fraction.

What is the solution for the equation, 2(4x - 6) = 8x - 12?

Answers

Answer:

infinite solutions

Step-by-step explanation:

2(4x - 6) = 8x - 12

8x - 12 = 8x - 12

-12 = -12

Answer:

8x - 12 = 8x - 12

Step-by-step explanation:

\(2(4x - 6) = 8x - 12 \\ 8x - 12 = 8x - 12\)

= x E R

The adjacent ide of a parallelogram are 15 cm and 9 cm in length. If the perpendicular ditance betwe the horter ide i 7 cm, find the ditance between the longer ide

Answers

The adjacent side of a parallelogram are 15 cm and 9 cm in length. If the perpendicular distance between the shorter side is 7 cm. Distance between longer side will be 4.2 cm

What is parallelogram?

A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of opposite sides parallel and equal. An ABCD parallelogram with AB II CD and AD II BC is seen in the provided illustration. As well, as AB = CD and AD = BC. 

Similar to how the area of a rectangle is calculated, the formula for calculating the area of a parallelogram is base times height.

Since, Area of parallelogram = side × height

So, Area =9 × 7=63 square cm

Again apply area formula along longer side.

Since area remains same so,

Area = side × height

63 = 15 × height

So, height = 63 ÷ 15

height = 4.2 cm

Hence the required perpendicular distance along longer side will be 4.2 cm.

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How do I solve this?

How do I solve this?

Answers

Answer:

I can't see it.

Step-by-step explanation:

if a circle is centered at the vertex of the angle, then the arc subtended by the angle's rays is times as long as 1/360th of the circumference of the circle. a circle is centered at the vertex of the angle, and 1/360th of the circumference is 0.03 cm long. what is the length of the arc subtended by the angle's rays?

Answers

To find the length of the arc subtended by the angle's rays, we'll use the information given: the circle is centered at the vertex of the angle, and 1/360th of the circumference is 0.03 cm long.

Step 1: Calculate the full circumference.
Since 1/360th of the circumference is 0.03 cm, we can find the full circumference by multiplying 0.03 cm by 360.
Circumference = 0.03 cm * 360 = 10.8 cm

Step 2: Determine the angle subtended by the arc.
In this case, we don't have the specific angle mentioned, so let's assume the angle is θ degrees.

Step 3: Calculate the length of the arc subtended by the angle's rays.
To find the length of the arc, we will use the formula:
Arc length = (θ/360) * Circumference

Since we don't have the exact value for θ, the answer will be in terms of θ:
Arc length = (θ/360) * 10.8 cm

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A dinner set was marked $ 532 and a discount of 12% was offered on its marked price. Find the sale price of the dinner set.

Answers

Answer:

$468.16

Step-by-step explanation:

answer key

Drag the tiles to the correct boxes to complete the pairs.
Match each rational expression to its simplest form.

Drag the tiles to the correct boxes to complete the pairs.Match each rational expression to its simplest

Answers

problem decoded dude

follow meh

Drag the tiles to the correct boxes to complete the pairs.Match each rational expression to its simplest

which expression is equivalent to 2(5 - 3x)
First answer gets Brainliest!

Answers

Answer: 10 - 6x

2 x 5 = 10

2 x 3 = 6

therefore: 10 - 6x

I hope this helps!

Answer:

the answer is 10-6x

Step-by-step explanation:

by multiplying 2 by 5 and -3x

u will get ur 10-6x

please help me rn!!!!!!!!

please help me rn!!!!!!!!

Answers

Answer:

A B and C

Step-by-step explanation:

it's a simple question

Which fraction is equal to 0.54--

Answers

Answer:

27/50

Step-by-step explanation:

Answer:

27/50

Step-by-step explanation:

54 is another way of writing 54 hundredths, or as a fraction, 54/100. Asking for a simplified fraction is asking you to reduce the numerator and denominator by any common terms. 54 and 100 are both divisible by 2, so we get to 27/50. These have no factors in common, so 27/50 is our simplified fraction.

Someone plssss help me with this question!!

Someone plssss help me with this question!!

Answers

Answer:

There are 3 possible values for a.

Step-by-step explanation:

a/b=2/3

3a=2b

If b>5 and b<13

apply all possible values

b=6 -> 3a=12 ==> a=4 1st possibility

b=7 -> 3a=14 ==> a=4.something Not a possibility

b=8 -> 3a=16 ==> a=5.something Not a possibility

b=9 -> 3a=18 ==> a=6 2nd possibility

b=10 -> 3a=20 ==> a=6.something Not a possibility

b=11 -> 3a=22 ==> a=7.something Not a possibility

b=12 -> 3a=24 ==> a=8  3rd possibility

a restaurant offers salads with 2 types of lettuce, 3 different toppings, and 3 different dressings. how many different salads could be ordered?

Answers

Answer:

36 different salads can be ordered

Step-by-step explanation:

Pls help hw came late and i dont want a detention

Pls help hw came late and i dont want a detention

Answers

Answer:

180

Step-by-step explanation:

they are vertical angles

Answer:

A) 108

B) C virtical opisite angles

Step-by-step explanation:

how many terms are in the algebraic expression

how many terms are in the algebraic expression

Answers

Answer:

I think there are 4 separate terms in that algerbric equation

If 32(2)c = 8c+7, what is the value of c?

o 1
o 2
o 3
o 5

If 32(2)c = 8c+7, what is the value of c?o 1o 2o 3o 5

Answers

Answer:

c = 3

Step-by-step explanation:

Hope it helps and have a great night! =D

~shining stars~

The value of 'c' in the 32^{2c} = 8^{c+7}\(32^{2c} = 8^{c+7}\) is, 3.

What are some rules of exponents?

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression \(32^{2c} = 8^{c+7}\).

Now, To equate the exponents we have to change the bases to the same value.

Therefore, \(32^{2c} = 8^{c+7}\) ⇒ \((2^5)^{2c} = (2^3)^{c+7}\).

5(2c) = 3(c + 7).

10c = 3c + 21.

7c = 21.

c = 3.

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