UNIT 5: CEREAL BOX PROJECT / PORTFOLIO

UNIT 5: CEREAL BOX PROJECT / PORTFOLIO

Answers

Answer 1

The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.

How to calculate the volume?

The volume of the cuboid will be:

= Length × Width × Height

= 12 × 2 × 7.5

= 180 inches³

The volume of the cylinder will be:

= πr²h

= 3.14 × 2.5² × 12

= 235.5 inches³

The surface area of the cuboid will be:

= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)

= 48 + 180 + 30

= 258 inches²

The surface area of the cylinder will be:

= 2πrh + 2πr²

= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)

= 188.4 + 39.25

= 227.65 inches²

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Related Questions

Stella is creating a volcano in the shape of a cone for her science project. The height of the volcano is 12 inches and the radius of the base is 5 inches.

What is the slant height?

Answers

Answer: V≈314.16

Step-by-step explanation:

V=πr2h

3=π·52·12

3≈314.15927

A movie theater charges $10.50 per ticket and $5per bucket of popcorn. You never buy the popcorn because you think it's too expensive.
Is the total price you pay proportional to the number of tickets you buy?
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

Yes they are proportional

Answer:

A- yes

Step-by-step explanation:

If you never buy the popcorn because you think that it is too expensive then the only thing you are paying for is the tickets therefore the price you pay is proportional to the number of tickets you buy.

F(x) =3x+8 find the inverse of f(x)

Answers

Answer:

Step-by-step explanation:

Hi!

To find the inverse, first we express your function as:

y = 3x - 8

Then, we interchange x and y variables:

x = 3y - 8

From there, we isolate y:

x + 8 = 3y

x/3 + 8/3 = y

Then, the inverse, g(x) = (x+8)/3.

We can check this by getting g(f(x)):

(f(x) + 8)/3 = (3x - 8 + 8)/3 = 3x /3 = x.

This is correct by the definition of the inverse function.

You can also think about the inverse as a "reverse function", so for example, in f(x) = 3x-8, x is multiplied by 3, then 8 is subtracted from it.

If we are to go from f(x) to x, we first add 8 (to reverse the subtraction), then divide by 3 (to reverse the multiplication).

This means g(y) = (y+8)/3, the same answer.

Hope this helps!

7. A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?

Answers

Answer:

surface area of the balloon is 199 cm^2

please help I don't know the median

Answers

Answer:8

Step-by-step explanation:

least to greatest:6,8,8,9,9

crossout the ends:6,9 and 8,9

what is left in the middle:8

Answer:

6

Step-by-step explanation:

Median is the middle of the data set which is 6.

The lengths of a particular snake are approximately normally distributed with a given mean mu = 15 in. and standard deviation sigma = 0.8 in. what percentage of the snakes are longer than 16.6 in.?

Answers

The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.

What is a normal distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.

Then the percentage of the snakes is longer than 16.6 in. will be

[tex]z = \dfrac{ x - \mu }{ \sigma }\\\\z = \dfrac{16.6-15}{0.8}\\\\z = 2[/tex]

Then we have

[tex]\rm P(x > 16.6) = P(z > 2) = 0.02275 \ or \ 2.275 \%[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

D, 5%

Step-by-step explanation:

edge

The probability that the sample will accurately represent the target group within the margin of error is called the Group of answer choices confidence level. polling bias. margin of error. random sample.

Answers

Answer:

What is the probability of a sample mean?

The Probability of a Sample Mean The Probability of a Sample Mean We saw in the previous section that if we take samples, the distribution of the sample means will be approximately normal. This will hold true even when the underlying population is not normally distributed, provided we take samples of n=30 or greater.p-by-step

Find the volume of the pyramid.

A) 22 cm3
B) 264 cm3
C) 132 cm3
D) 44 cm3

Answers

264 cm3.
Length * width * height gives the volume of a shape.

The table below shows a student's quiz scores on four quizzes.

Answers

Answer:

with aritmetical form u do this: 14+14+18+12=58

now 58/4=14.5

average score Is 14.5

Evaluate the formula for the perimeter of a rectangle to solve the problem. Then check all that apply.
ANSWERS:
First, write the formula for the perimeter of a rectangle: P = 2l + 2w.
Next, use parentheses when you substitute 50 for l and 25 for w.
After multiplying, add 100 and 50.
The school needs 5,000 meters of fencing.
The school needs 150 meters of fencing.

Answers

1. 2(8x – 1) + 2(2x + 4)

2. 16x – 2 + 4x + 8

3. (20x + 6)

Step-by-step explanation:

The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2( l + w)

Given the following parameters

length l = 8x - 1

width w = 2x + 4

Substitute the expressions for the length and width into the formula;

P = 2(8x - 1 + 2x + 4)

P = 2(10x + 3)

Distribute 2 over each term in the parenthesis

P = 2(10x) + 2(3)

P = 20x + 6

Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

if i help please give brainly

Answer:

below

Step-by-step explanation:

A B C E

all of them but D

Which value of x makes the following equation true? 2(x + 7) = x + 19 OA. 5 OB. 12 O C. 19 OD -2​

Answers

2(x + 7) = x + 19

Use distributive property on left side;

2x + 14 = x + 19

Subtract 14 from both sides:

2x = x + 5

Subtract 1 x from both sides:

X = 5

Triple u then divide 3 by the result?

Answers

Answer:

[tex]beinggreat78~is~here~to~help![/tex]

The equation should look something like this.

[tex]\frac{u(3)}{3}[/tex]

Be careful with your use between cubing and multiplying; Cubing is multiplying the number by itself multiple times, while multiplying is like repeated adding, yet much easier.

In this case, if it says triple, I highly recommend multiplying by 3, which is what I did, it only looks different because it is in parentheses.

What have we learned?

We learned how to write algebraic equations, and some further information on multiplying.

Part A
Which angles are congruent to ∠5 ? Select all that apply.
∠1
∠2
∠3
∠4
∠6
∠7
Part B
I m∠6 = 85° what is the measure of ∠3?

m∠3 =
°

Answers

part a: 1,3,5,7

part b: i’m not sure

i do not know this answer, i need help

Answers

Answer:

18 kilometers

Step-by-step explanation:

if you know the perimeter, then all you have to do is add up what you have, 10+7=17 and then subtract it giving you the bits that you dont know, so 35-17=18 kilometers.

Answer:

s = 9 Km

Step-by-step explanation:

the perimeter is the sum of the 4 sides

given perimeter = 35 , then

10 + 7 + s + s = 35

17 + 2s = 35 ( subtract 17 from both sides )

2s = 18 ( divide both sides by 2 )

s = 9 Km


A tank that holds 120 gallons is leaking at a rate of
gallon per hour. Wri
an expression that represents the amount of gallons left in the tank after h
number of hours.

Answers

Answer:h=120 - (120•1/4)

Step-by-step explanation:

Answer the one you would like!

Answers

first pic no 13

sec no 14

third no 15

shjdidifjie

express 0.23 (bar) in the form of p/q

Answers

Answer:

[tex]0.\overline{23}= \frac{23}{99}[/tex]

Step-by-step explanation:

Let [tex]x = 0.\overline{23}[/tex]....(1)

Multiply both sides by 100.

[tex]100x = 23.\overline{23}[/tex]....(2)

Subtracting equation (1) from equation (2)

[tex]100x -x= 23.\overline{23}-0.\overline{23}[/tex]

[tex]\implies 99x= 23[/tex]

[tex]\implies x= \frac{23}{99}[/tex]

[tex]\implies\huge{\orange{ 0.\overline{23}= \frac{23}{99}}}[/tex]

Joe is 1.6 m tall. His shadow is 2 m long when he stands 3 m
from the base of a floodlight. What is the height of the floodlight?

Answers

Answer:

Step-by-step explanation:

last question i have to ask ‘calculate the area of the shaded space’ please and thank you.

Answers

Answer:

21.5 square m

Step-by-step explanation:

You find the area of the shaded space by finding the area of the square and the removing the area of the circle.

The area for the square is 10x10=100.

All you have to do is follow the formula, (3.14)r^2. However, the 10 is NOT the diameter! The radius is half of the diameter. So, it's 3.14x5x5, which is 3.14x25=78.5.

Then, you can do 100-78.5=21.5

The means and mean absolute deviations of sidney’s and phil’s grades are shown in the table below. means and mean absolute deviations of sidney’s and phil’s grades sidney phil mean 82 78 mean absolute deviation 3.28 3.96 which expression represents the ratio of the difference of the two means to sidney’s mean absolute deviation? startfraction 82 over 3.28 endfraction startfraction 4 over 3.28 endfraction startfraction 4 over 0.68 endfraction startfraction 82 over 0.68 endfraction

Answers

The expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

What is mean absolute deviation?

Mean absolute deviation is the average of the absolute deviation of each observation from their mean, for a considered set of observations.

For this case, the table of mean and mean absolute deviation is given as:

[tex]\begin{array}{ccc}&Mean&M.A.D.\\\text{Sidney}&82&3.28\\\text{Phill}&78&3.96\end{array}[/tex]

(M.A.D refers to Mean Absolute Deviation).

So, difference in their mean is 82 - 78 = 4

Absolute deviation  for Sidney is 3.28

Thier ratio is: 4/3.28

Thus, the expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

Learn more about ratio here:

https://brainly.com/question/12106245

Answer:

Option B: 4/3.28

Step-by-step explanation:

The function y = x^4 - 16x^2 has zeros at x = -4, x = 0, and x = _ and a y-Intercept at (0, _)

Answers

Answer:x=4 (0,0)

Step-by-step explanation:

Determine the zeros of function,factor the functions. Set the factored function equal to 0 and solve. Then find the y-y-intercept of the given function by setting x equal to 00and Solving for y.

What is the slope of the line in this graph? please help urgent

Answers

Answer:

  (b)  5/7

Step-by-step explanation:

When determining slope from a graph, it is convenient to locate points on the graph where it crosses grid lines. This graph crosses the origin, and the point (7, 5). The slope is found by counting grid squares or by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (5 -0) /(7 -0) = 5/7 . . . . . . . . . using points (0, 0) and (7, 5)

The slope of the line is 5/7.

What is the area of the triangle shown below ?3.7mm 4.8mm

Answers

I can’t answer because I don’t have the picture of the triangle

Round 19525 to the nearest hundred​

Answers

19500 because the 5 is in the 100 Collum so you round the 2 down keeping it as a 5

Answer:19,500

Step-by-step explanation: Yw.

Which loan has the lowest total repayment?

Answers

Answer:   Loan B

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

Explanation:

Refer back to this related question

https://brainly.com/question/27362373

In that link I detail how to find that

Loan A has a monthly payment of $348.50Loan B has a monthly payment of $518.02

Loan A has a duration of 5 years, aka 5*12 = 60 months. Over those 60 months, you'll pay back a total of 60*348.50 = 20,910 dollars for loan A.

Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.

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

Summary total repayment

Loan A = 20,910 dollarsLoan B = 18,648.72 dollars

We have loan B as the winner in terms of the lowest total repayment. The longer a loan is, the higher chances are that you'll pay back more in interest (thereby making the total repayment larger).

Answer :  

Loan B

Explanation :

Loan A's monthly payment → $348.50Loan B's monthly payment → $518.02

Cost of Loan A repayment

Duration = 5 years = 5 x 12 = 60 monthsCost = 60 x 348.50 = $20,910

Cost of Loan B repayment

Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.

Duration = 3 years = 3 x 12 = 36 monthsCost = 36 x 518.02 = $18,648.72

Clearly, Loan B has the lowest total repayment.

which statement is true about credit cards?

Answers

Answer:

it doesnt say any statement at all can you add them

pls help me


What is the volume of the figure?

Answers

Answer:

V = 76 ft³

Step-by-step explanation:

We can find the volume of the figure by finding the sum of volume of the small rectangular prism and big rectangular prism.

V of a rectangular prism = length*hight* width

V = V (big rectangular prism) + V (small rectangular prism)

V = (8·4·2) +(3·2·2)

V = 64 + 12

V = 76 ft³

The distance from earth to the moon is about 3.84 times 10^6 meters. what is one fourth of this distance

Answers

3.84 x 10^6 = 3,840,000

3,840,000 / 4 = 960,000

If the distance from the earth to the moon is about 3.84 x 10⁶.One-fourth of this distance will be 960,000

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, the distance from the earth to the moon is about 3.84 x 10⁶.

One-fourth of this distance is found by dividing the total distance by 4.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

Suppose the one-fourth of this distance will be x,

(1/4)× 3.84 x 10⁶ =x

x=(3.84 x 10⁶)/4

x=960,000

Thus, if the distance from the earth to the moon is about 3.84 x 10⁶. One-fourth of this distance will be 960,000

Learn more about the arithmetic operation here:

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#SPJ5

Using the function f(x) = 32 * (3/4)z, evaluate the following mentally.
f(3) =

Answers

Answer:

I also need help with this I'm new to this app so id

Use the following system of linear equations to do the three tasks below.
x = y +3
Y=-4x-3
• Part A: Solve the linear system of equations by graphing.
• Part B: Use substitution to solve the linear system of equations.
• Part C: Use addition to solve the linear system of equations.
In your final answer, include all of your work, the graph of the equations and the solution.

Answers

Step-by-step explanation:

where the is y,you put the value of y 4x-3 and where the is x,put the value of x (y+3)

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