9. A shipping box is shaped like a rectangular prism. The dimensions of the box are in inches, as shown below.
(w+5) inches
(w+4) inches."
(2w) inches
Which expression describes the volume, in cubic inches, of the box?
A. 2w3 + 9w + 20
B. 243 + 182 + 402
C. 2u2 + 18w + 40
D. 2w2 + 4w+5

Answers

Answer 1

Given:

The dimensions of the box are (w+5) inches, (w+4) inches, (2w) inches.

To find:

The expression that describes the volume of the box.

Solution:

We know that the volume of a rectangular prism is:

[tex]V=length\times breadth \times height[/tex]

Substituting the given values, we get

[tex]V=(w+5)\times (w+4) \times 2w[/tex]

[tex]V=(w^2+5w+4w+20)2w[/tex]

[tex]V=(w^2+9w+20)2w[/tex]

Using distribution property, we get

[tex]V=(w^2)2w+(9w)2w+(20)2w[/tex]

[tex]V=2w^3+18w^2+40w[/tex]

Therefore, the volume of the box is [tex]2w^3+18w^2+40w[/tex] cubic inches.

Note: All the options are incorrect.


Related Questions

14. A company uses many different delivery
services. The probability that any given parcel
will be sent by the ABC Speedy Delivery Service
is 0.71. The probability that the parcel will arrive
on time given the ABC Speedy Delivery
Company was used is 0.93. If a parcel is
randomly selected, find the probability that it will
be sent with the ABC Speedy Delivery Company
and arrive on time.

Answers

Answer:

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Sent by ABC Speedy Delivery Service.

Event B: Arrived on time.

The probability that any given parcel will be sent by the ABC Speedy Delivery Service is 0.71.

This means that [tex]P(A) = 0.71[/tex]

The probability that the parcel will arrive on time given the ABC Speedy Delivery Company was used is 0.93.

This means that [tex]P(B|A) = 0.93[/tex]

Find the probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

This is [tex]P(A \cap B)[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)*P(A) = 0.93*0.71 = 0.6603[/tex]

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1. If the distribution is approximately normal, find the probability that there will be fewer than 69 broken pretzels in a run.

Answers

Answer:

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.

This means that [tex]\mu = 73.5, \sigma = 5.1[/tex]

Find the probability that there will be fewer than 69 broken pretzels in a run.

This is the p-value of Z when X = 69.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69 - 73.5}{5.1}[/tex]

[tex]Z = -0.88[/tex]

[tex]Z = -0.88[/tex] has a p-value of 0.1894

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

Answer:

The equation for the trend line is y=2x-10

What percent of 36 is 20?

Answers

Answer:

55.56%

Step-by-step explanation:

Answer:

55.56

Step-by-step explanation:

Michelle purchases several bottles of water. Before tax is added, the total cost is $3.60 and the cost of each bottle is $1.20. How many bottles did she buy?

Answers

Answer:

3 bottles

Step-by-step explanation:

1 bottle -- $1.20

x bottles -- 3.60 (total cost)

Therefore, number of bottles -- (3.60/1.20) = 3

She bought 3 bottles.

Thenks and maek me brainliest :))

                                       

If the area of a square is 9, then the perimeter of the
square is

Answers

Answer:

12.

Step-by-step explanation:

The side length = sqrt 9 = 3

so the perimeter = 4*3 = 12.

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

12 units.  

»»————- ★ ————-««  

Here’s why:  

The formula for area of a square is:

[tex]A=s^2\\\\\boxed{\text{Key:}}\\\\s-\text{Side length given.}[/tex]

⸻⸻⸻⸻

We are given the area of the square, 9. To find the side length of the square, required to get the perimeter, we would have to take the square root of 9.

Recall that the area of a square is the square of it's side length. [tex](s^2)[/tex]⸻⸻⸻⸻

[tex]\boxed{\text{Finding the side length of the square:}}\\\\\rightarrow S=9\\\\\sqrt{9}=3\\\\\rightarrow S=\boxed{3}^2[/tex]

⸻⸻⸻⸻

The side length of the square is 3 units.

⸻⸻⸻⸻

The formula for perimeter of a square is:

[tex]P=4(s)\\\\\boxed{\text{Key:}}\\\\s-\text{Side Length}[/tex]

⸻⸻⸻⸻

We have previously calculated the side length of the square, which is 3.We would have to multiply 3 by 4 to get the perimeter.

Recall that the perimeter of a square is 4 times the side length. [tex]4(s)[/tex].

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the perimeter of a square:}}\\\\P=4(3)\\\\\boxed{P=12}[/tex]

⸻⸻⸻⸻

The perimeter of the square is 12 units.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

What goes where
+ - x and divide simble

4_(3_2)_6_1=14

Answers

Answer:

(left to right) multiply; add; subtract; divide

Step-by-step explanation:

4*(3+2)-6/1

4*(5)-6/1

20-6/1

20-6

14

(sin30°+cos30°)(sin30°-cos30°)​

Answers

in decimal formation it is -0.5 and in fraction -1/2

To the nearest tenth, what is the area
of the figure below? Use 3.14 for it.

Answers

C can u plz mark me brianliest
The correct answer is C. Brainliest would help a lot :)

A car travels at the rate of 60 miles per hour and averages 30 miles per gallon of gasoline. Which of the following is the best
approximation of the number of gallons of gasoline that will be used in 8 hours of traveling at 60 miles per hour?
0.06 gallons
16 gallons
3.75 gallons
7.5 gallons
480 gallons

Answers

16 gallons, 30 miles per gallon time 2 gets 60 miles or 2 gallons per hour, times the 8 hours

can anyone help with this problem?

Answers

Answer:

The numerator factors to

[tex](x + 2)(x - 1)[/tex]

The denomenator factors to

[tex](x + 4)(x - 1)[/tex]

thirty years later the washington monument was finally completed, and the angle of elevation to the top of the monument from the same marker was 70o. to the nearest foot, how many feet were added to the phase 1 structure of the washington monument?

Answers

Answer:

Congress immediately tabled its expected contribution of $200,000 to the Society, effectively halting the appropriation. During its tenure, the Know-Nothing Society added only two courses of masonry, or four feet, to the monument using rejected masonry it found on site, increasing the height of the shaft to 156 feet

Step-by-step explanation:

Can someone please help me with this! This is due today and I'm having a hard time! Please help me!

Answers

Answer:

a) Daniel has 55

b) Daniel has 105

c) Daniel has 5z

d) 115 divided by 5, which is 23!!!

HELP ME WITH THIS PLEASE. THANK YOU

Answers

Answer:

I think it's 2

Step-by-step explanation:

Answer:

1/11 is correct.

Step-by-step explanation:

You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.

2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22

2/22 = 1/11

Have a nice day!

What is the domain of the following parabola?

Answers

I believe it’s the last option sorry if I’m incorrect

Simplify the algebraic expression -5(6x)

Answers

Answer:

-30x

Step-by-step explanation:

The parenthesis is just to multiply, and you can combine like terms. So -5*6=-30, which you multiply with x to get -30x.

A sewing class has 185 yards of fabric to make quilts. Each quilt requires 8 yards of fabric. How much fabric will remain after all the quilts are made?

Answers

If each quilt requires 8 yards of fabric and there’s 185 yards you can make 23 quilts and have 1 yard remaining.

23x8= 184
185-184=1

Sylvia bought 8 bags of stickers. Each bag costs $2.79 how much did Sylvia spend

Answers

Answer:

Sylvia's total cost=$2.79*8

=$22.32

Step-by-step explanation:

Which of the following measures cannot be determined from a box plot?
select all that apply.
A. Interquartile range
B. Mean
C. Mean absolute deviation
D. Median
E. Mode
F.Range​

Answers

3 Answers:B) MeanC) Mean absolute deviationE) Mode

==========================================================  

Explanation:

The box plot, aka "box-and-whisker plot", visually represents five things. These things are:

MinimumQ1 = first quartileMedian (sometimes referred to as Q2 or second quartile)Q3 = third quartileMaximum

This list of five items is known as the five number summary.

The min is the tip of the left most whisker, assuming there aren't any small outliers. The max is the opposite side, being the tip of the right most whisker (assuming no large outliers). If there are any outliers, then they'll be shown as "island" dots on their own separated from the main box plot. The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint of the left and right edges of the box. It simply needs to be somewhere in the box.

--------

Since the box plot lets us know the min and max, we can compute the range because

range = max - min

and we can also calculate the interquartile range (IQR) because

IQR = Q3 - Q1

--------

So to summarize so far, the five number summary is visually represented as the box plot. The range and IQR can be computed using items from the five number summary.

We cannot compute the mean because we would need the actual data set of values, rather than the summary data. The same goes for the mean absolute deviation (MAD) and the mode. Since your teacher is looking for things that cannot be determined from a box plot, we'll go for answers B, C and E.

In other words, we rule out choices A, D, and F because we can compute or determine those values from a box plot.

i have to show ALL work

Answers

Answer:

Answer:C = 8

Answer:C = 8Step-by-step explanation:

-2(4c+16)^1/4+2=-2

Move the constant to the right and change the sign

-2(4c+16)^1/4= -2-2

transform expression

[tex] - 2 \sqrt[4]{4c - 16} = - 4[/tex]

Divide each side by -2

[tex] \sqrt[4]{4c - 16 } = 2[/tex]

raise both side of the equation by power of 4

4c-16=16

move constant to the right and change the sign

4c=16+16

4c=32

THEN DIVIDE BOTH SIDES BY 4

C = 8

A right triangle has a leg of length 6 and a hypotenuse of length 21 yards. Find the length of the other leg (nearest tenth).​

Answers

Answer:

20.1

Step-by-step explanation:

a^2+b^2=c^2

6^2+b^2=21^2

36+b^2=441

b^2=441-36

b^2=405

sqrt of b =20.12

red works at the convenience store for $7.00 an hour. If he makes $49.00 over 2 days, how many hours did Fred work?

Answers

7 hours is the answer.

7 x 7 = 49, so if he works 7 hours for $7 an hour, he would have $49.

If we attempt to create a square using the tiles that represent the algebraic expression x^2 +bx,

1. How many x-tiles would you add to the length of the x-square tile?

2. How many unit tiles would you need to complete the square?

Answers

I dont understand the question

What is the surface area of this square pyramid
18 ft
33ft
36 ft
57 ft

Answers

The surface area of this square pyramid is 33ft

Surface area of square based pyramid

The formula for calculating the surface area of the ssquare pyramid is expressed as:

TSA = Area of square + 4(area of triange)

TSA = (3*3) + 4(0.5 * 4 * 3)

TSA = 9 + 4(6)
TSA = 9 + 24
TSA = 33 square feet

Hence  the surface area of this square pyramid is 33ft

Learn more on surface area of the pyramid here: https://brainly.com/question/16060915

HELP HELP HELP HELP PLEASE HELP ME

Answers

Answer: C is the answer bc it is asking what is more grader

Step-by-step explanation:

Help immediately due yesterday show how you got the answer and show your work for brainiest must do both

Answers

12. Each section of the line on each side is identical (shown by the marks through each line)

This means both those angles are also the same.

6x + 1 = 9x-23

Add 23 to both sides

6x + 24 = 9x

Subtract 6x from both sides

24 = 3x

Divide both sides by 3

X = 8

13. Both angles when added together need to equal 180

5x-24 + 8x +9 = 180

Combine like terms

13x -15 = 180

Add 15 to both sides

13x = 195

Divide both sides by 13

X = 15

#12

6x+1=9x-233x=24x=8

#13

8x+9+5x-24=18013x-15=18013x=195x=15

Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
please help im tring to pass this class

Answers

Volume of a cylinder is the area of the base x the height.

Area of base = pi x r^2 = 3.14 x 2^2 = 12.56

Volume = 12.56 x 8 = 100.48 units^3

Answer:

32 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = Bh  where B is the area of the base

The base is a circle

The area of a circle is given by

A = pi r^2

The radius is 2

A = pi (2)^2 = 4pi

The area of the base is 4pi

The height is 8

V = 4pi *8

V = 32 pi units^3

HELP PLZZZZZ
Which of the following are not linear functions? Place a check mark in the box next to each equation that is not a linear function.
A. x = 4
B. y = 5
C. y = 3x + 2
D. y = 2x 2 + 1
E. y = x 2

Answers

Answer:

The option E is not linear function

bcz the in option E there is y =x2

20 POINT!!
Can someone help me I don’t understand it at all

Answers

Answer:

second

Step-by-step explanation:

substitute y=6 and x=1 in the given relations and see if works

y=2x will be 6 = 2*1 false

y=x+5 will be 6 = 1+5 true

because this is true check all the other y and x and if all true is good

7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good

y=2x+1 will be 6=2*1+1 false

y=3x+1 will be 6=3*1+1 false

brainliest help fast plz

Answers

Answer:

[tex]\frac{5}{16}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}-\frac{3}{16}=\frac{8}{16}-\frac{3}{16}=\boxed{\frac{5}{16}}[/tex]

Answer:

hope this helps

Step-by-step explanation:

the answer is 5/16

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