Madison drew Triangle D E F. In her triangle, Measure of angle D is represented as x degrees. The measure of Angle E is half the measure of Angle D. The measure of Angle F is 2 degrees less than twice Measure of angle D. What is Measure of angle F?

A) 36 degrees
B)56 degrees
C)102 degrees
D)147 degrees

Answers

Answer 1

Answer:

102 degrees.

Step-By-Step Explanation:

We know that D is x and E is 1/2x and Angle F is 2 less than angle D.

So if we use the sum of 180 and solve for x, we will find angle D.

This is the equation: x+.5x+2x-2=180

solve:              3.5x -2 = 180

                             +2     +2

                           3.5x=182

                            /3.5x   /3.5x

                               X = 52

2(52)-2 = 102 degrees

Thus the answer is 102  degrees

hope this helped:)

Answer 2

Answer:

102º

Step-by-step explanation:


Related Questions

A 7 kg ham costs $19/kg. Find the cost per pound.

Answers

Answer: [tex]\$8.62/\text{Pound}[/tex]

Step-by-step explanation:

Given

There is [tex]7\ kg[/tex] of ham available which costs

cost[tex]=\$\ 19/kg[/tex]

i.e.

[tex]1\ kg\ \text{costs}\ \$19[/tex]

and we know

[tex]1\ kg=2.204\ \text{pound}[/tex]

So, [tex]2.204\ \text{Pound costs}\ \$19[/tex]

thus [tex]1\ \text{Pound costs}\ \dfrac{19}{2.204}=\$8.62/\text{Pound}[/tex]

which statement explains how the lines x+y=2 and y=x+4 are related

Answers

Answer: They are similar because they intersect with each other at (-1,3).

Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form.

Answers

Answer:

work is shown and pictured

What is the surface area of the pyramid

Answers

Answer:

Step-by-step explanation:

surface area=2×1/2×10×12+2×1/2×2×13+10×2

=120+26+20

=166 square units

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could
possibly receive the tickets?
OA. 13
OB. 40
C.
56
D.
64

Answers

Answer: They can do 56 different combinations.

Step-by-step explanation:

Please answer this correctly

Answers

Answer:

36

Step-by-step explanation:

60/40 = 3/2

so you need z to be 3/2 *24 for it to be saved. 1.5*24= 36

How many students were asked? How do you know?


Find the median for these data.

Answers

Answer:

a=10 students because there are 10 answers.

b=5

Step-by-step explanation:

a=10 students because there are 10 answers.

b, you need to list the numbers all out and rearrange them from smallest to largest.

0, 0, 1, 2, 3, 7, 9, 10, 13, 15

The median means the middle which is 3 and 7

Because we have two numbers, we need to find the middle number of 3 and 7 which is 5

what is the circumference of the semicircle

Answers

Answer:

[tex]12.56m[/tex]

Step-by-step explanation:

[tex] \frac{180}{360} \times 2\pi \: r \\ \frac{1}{2} \times 2 \times \pi \times 4 \\ = 12.56m[/tex]

Answer:

this answer is attached to the picture

Mrs. bell wrote the expanded form of a number, as shown. 5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000

Answers

Answer:

546.208

Step-by-step explanation:

Let's break this down.

5 x 100 = 500

4 x 10 = 40

6 x 1 = 6

2 x 1/10 = .2

8 x 1/1000 = .008

Now, let's add to find the number.

500 + 40 + 6 + .2 + .008 = 546.208

Therefore, the number in standard form is 546.208

The final answer of Mrs. bell expression will be 546.208

What is distributive property of multiplication over addition ?

If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.

the expanded form of a number is written as :

5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000

Let's calculate it bit by bit :

[tex]\begin{aligned}5 \cdot 100 = 500\\4 \cdot10 = 40\\6 \cdot 1 = 6\\2 \cdot \frac{1}{10} = .2\\8 \cdot \frac{1}{1000} = .008\\\end{aligned}[/tex]

Now, let's add all the terms we get :

500 + 40 + 6 + .2 + .008 = 546.208

Therefore, the number in standard form of expression written by Mrs. bell is 546.208

Read more about property of addition here :

https://brainly.com/question/14391436

#SPJ2

I'm doing algebra and I need help

3p+q=7
2p-2q= -6

sorry about the pic my handwriting is bad but please help me​

Answers

Answer:

3p + q =7

2p - 2q = -6

6p +2q = 14

2p -2q = -6

8p = 8

p = 1

so q = 4

Step-by-step explanation:

Answer:

P= 1, q= 4

Step-by-step explanation:

3p + q = 7 -------------(1)

q=7-3p ------------------(1a)

2p- 2q= -6 -------------(2)

Substitute (1a) in (2)

We have :

2p - 2( 7- 3p) = -6

2p -14 + 6p = -6

8p= 14-6= 8

P= 8/8 =1

From, q=7 -3(1)

q= 7-3

q= 4

Marie has a collection of shark teeth. When her uncle returns from vacation, he brings her 141414 more shark teeth. Now Marie has 515151 shark teeth.
How many shark teeth did Marie have before her uncle's gift?

Answers

Answer:

  37

Step-by-step explanation:

Before her uncle's gift, Marie had 14 fewer than 51 shark teeth:

  51 -14 = 37

Marie had 37 shark teeth.

Hints # 2- Rewrite the mixed numbers as fractions greater than one, then multiply! The first CORRECT answer will get Brainliest. If you can’t see zoom in, don’t answer if you don’t know. If you any questions click the 3 dots next to this questions. Then click the comments and ask me any questions there. Stay safe and inside and have a blessed one. God loves you!

Answers

Answer:

1615 / 48

Step-by-step explanation:

So the mixed numbers as improper fractions is:

6 1/3 = 19 / 3

4 1/4 = 17 / 4

1 1/4 = 5 / 4

19 / 3 * 17 / 4 * 5 / 4 = 1615 / 48

It's kinda messy so it might be wrong.

Answer:

About 33.65 feet

Step-by-step explanation:

[tex]6 \frac{1}{3} * 4 \frac{1}{4} * 1\frac{1}{4} =\\\\\\\frac{19}{3} *\frac{17}{4} *\frac{5}{4} =\\\\\\\frac{323}{12}*\frac{5}{4} =\\\\\\\frac{1615}{48} =\\\\\\33 \frac{31}{48}[/tex]

Or about 33.65 feet

Write the equation of a line with the slope of 2, which contains the point
(4,-8).

Write your equation in slope intercept form and do NOT put any spaces in your answer.

Answers

Answer:

y=2x-16

Step-by-step explanation:

So since we have a point and the slope, we can use the point-slope equation to find our equation of a line

y - y₁ = m(x - x₁)

Here our (x₁, y₁) point is (4, -8) and our m is 2

Plugging in these values to our equation gives us:

y - (-8) = 2(x - (4)) → distributing the negative to the -8 gives y + 8 = 2(x - 4) → distributing the 2 to the (x - 4) gives y + 8 = 2x - 8 → and finally subtracting the  8 from both sides gives our equation of a line y = 2x - 16

Helen rolls a dice and flips a coin.

Calculate the probability that she gets a 4 and a tail.

Answers

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

Multiply them

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

1/6 x 1/2 = 1/12

Which equation represents the following graph y=3x+2

Answers

For this equation you simply have to graph it.

First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.

Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.

Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.

Hope this helps a bit,

Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices. One of the two equations can be translated to: 300x + 300 x plus StartFraction 500 over 7 EndFraction left-parenthesis 87.5 right-parenthesis equals 10,000.y = 10000 If y = 87.5, what is the value for x? 300x + 300 x plus StartFraction 500 over 7 EndFraction y equals 10,000.y = 10,000 300x + 300 x plus StartFraction 500 Over 7 EndFraction y equals 10,000.(87.5) = 10,000 300x + 6,250 = 10,000 x =

Answers

Answer: 12.5

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

i just did it

pls it's urget solve it fast ​pls pls

Answers

Answer:

15

Step-by-step explanation:

2x+3y=5

6x+9y=k

Multiply the top equation by 3:

6x+9y=15

Since the left side of both equations is 6x+9y, k must be 15. k and y can now have infinite solutions, since the top and bottom equations are the same. Hope this helps!

I will mark the brianliest for the first person to answer right. Give you 30 points.
There is a rectangular prism with a length of 12.5 in., a width of 11 in. and a height of 4 in. If you make a horizontal slice through it, what is the area of the exposed 2-dimensional shape? (show your work in numbers)

Answers

Answer: The required area of the exposed 2-dimensional shape would be 137.5 sq. inches.

Step-by-step explanation:

Given, There is a rectangular prism with a length of 12.5 in., a width of 11 in. and a height of 4 in.

If we make a horizontal slice through it, then we will have two-dimensional figure called 'rectangle' with dimensions length by width as 12.5 in. by 11 in.  [As per given]

Then, the area of the exposed 2-dimensional shape = Area of the reactngle

= Length x width

[tex]=12.5\text{ in.}\times11\text{ in.}\\\\=137.5\text{ in.}^2[/tex]

Hence, the required area of the exposed 2-dimensional shape would be 137.5 sq. inches.

Anna plans to retire at 70 and hopes to withdraw $30,000 per gear until she’s 95. If money earns 6% compounded annually how much will she need at 70

Answers

Answer:

$383,500.68  

Step-by-step explanation:

The amount needed is the present value of the $30,000 that Anna will withdraw for 25 years compounded at 6% annually

=pv(rate,nper,pmt,fv)

rate is the annual rate of 6%

nper is the number of years of withdrawal which is 95-70=25

pmt is the amount of annual withdrawal which is $30,000

fv is the amount of withdrawals which is unknown

=pv(6%,25,-30000,0)=$383,500.68  

The amount of she required at 70 is $$383,500.68   which gives her the benefit of withdrawing $30,000 per year at retirement

A cone and cylinder have the same height and their bases are congruent circles. If the
volume of the cylinder is 120 in3, what is the volume of the cone?

Answers

Answer:

  40 in³

Step-by-step explanation:

You want the volume of a cone if the volume of a cylinder with the same radius and height is 120 in³.

Formulas

The formulas for the volume of a cylinder and cone are ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

  V = 1/3πr²h . . . . . volume of a cone with radius r and height h

Cone volume

If the volume of the cylinder is such that ...

   πr²h = 120 in³,

we can substitute for πr²h in the formula for the volume of the cone:

  V = 1/3πr²h = 1/3(120 in³) = 40 in³

The volume of the cone is 40 in³.

What’s the correct answer for this?

Answers

Answer:

Option (2)

Step-by-step explanation:

Equation of the circle has been given as x² + 12y + 22x + y²- 167 = 0

Now we will convert this equation into the standard equation of the circle.

x² + 12y + 22x + y² - 167 = 0

(x² + 22x) + (y² + 12y) = 167

[x² + 2(11)x] + [y² + 2(6y)] = 167

[x² + 2(11)x + (11)²- (11)²] + [y² + 2(6)y + (6)²- (6)²] = 167

[x² + 1(11)x + (11)²] - (11)² +[y² + 2(6)y + 6²] - (6)² = 167

(x + 11)² + (y + 6)²- (11)²- (6)² = 167

(x + 11)² + (y + 6)² - 121 - 36 = 167

(x + 11)² + (y + 6)² - 157 = 167

(x + 11)² + (y + 6)²- 157 + 157 = 167 + 157

(x + 11)² + (y + 6)² = 324

Therefore, option (2) will be the standard equation of the given circle.

What angle measures have tangent 1

Answers

Step-by-step explanation:

the angle should be 60°

which is the leastt common multiple for 3 and 9

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7
ILL MARKK U BRAINLIEST FOR UR EFFORT FOR THE CORRECT ANSWER!!!!!!!!!! I PROMISEEEEEEEE

Answers

Answer:

I want brainliest!!! u promisteed

Step-by-step explanation:

1) 180-114 = 66

angle three = 66

360 = 70 + 70 + angle two + angle two

220 = angle two + angle two

angle two = 110

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Answers

Answer:

B

Step-by-step explanation:

For example let's set up a quadratic equation.

Let's use

f(x) = (x + 10)^2 + 7

The seven is the y intercept so let's ignore that and focus on the ten.

When we graph this we end up getting the picture below. Now, why is the vertex at -10? The reason is the equation starts off with a negative sign.

f(n) = (h - x) + k

So, if x is positive then it will remain negative but still go in positive just because the equation has a subtraction sign in it.

As a result when the equation has + 10, it shows that the x is negative because x = -10 and when you do

h- (-10) it becomes h + 10.

Hoped this helps

Some smells are perceived as being more feminine or more masculine. Researchers asked a random sample of 300 American adults to score quantitatively the perceived gender-orientation of lavender. Smaller scores indicate a more feminine scent and larger scores a more masculine scent. In this design, a gender-neutral scent would have a perceived gender-orientation score of 12. The participants gave the scent of lavender an average score of 10.28.Is this evidence that the scent of lavender is not gender‑neutral, on average? Select the correct statement of H0H0 , HaHa , and the hypotheses parameter in the corresponding test. - Let µμ be the mean gender‑orientation score for all smells being studied. We test H0:µ=12H0:μ=12 versus Ha:µ≠12Ha:μ≠12 ; The alternative is two‑sided because we want to test if all of the smells are not gender‑neutral. - Let µμ be the mean gender‑orientation score for lavender. We test H0:µ=1.28H0:μ=1.28 versus Ha:µ≠10.28Ha:μ≠10.28 ; The alternative is two‑sided because we want to test if lavender is not gender‑neutral. - Let µμ be the mean gender‑orientation score for lavender. We test H0:µ=12H0:μ=12 versus Ha:µ≠12Ha:μ≠12 ; The alternative is two‑sided because we want to test if lavender is not gender‑neutral. - Let µμ be the mean gender‑orientation score for lavender. We test H0:µ<12H0:μ<12 versus Ha:µ≥12Ha:μ≥12 ; The alternative is not two‑sided because we want to test if lavender is gender‑neutral.

Answers

Question:

Some smells are perceived as being more feminine or more masculine. Researchers asked a random sample of 300 American adults to score quantitatively the perceived gender-orientation of lavender. Smaller scores indicate a more feminine scent and larger scores a more masculine scent. In this design, a gender-neutral scent would have a perceived gender-orientation score of 12. The participants gave the scent of lavender an average score of 10.28.

Is this evidence that the scent of lavender is not gender neutral, on average? Select the correct statement of H0, Ha, and the hypotheses parameter in the corresponding test. -

a) Let µ be the mean gender-orientation score for all smells being studied. We test H0: µ=12 versus Ha: µ≠12 ; The alternative is two-sided because we want to test if all of the smells are not gender-neutral.

b) Let µ be the mean gender-orientation score for lavender. We test H0:µ=1.28 versus Ha:µ≠10.28; The alternative is two-sided because we want to test if lavender is not gender-neutral.

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

d) Let µ be the mean gender-orientation score for lavender. We test H0: µ < 12 versus Ha: ≥ 12 ; The alternative is not two-sided because we want to test if lavender is gender-neutral.

Answer:

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

Step-by-step explanation:

Here, some smells are perceived to be more feminine while some are more masculine. The researcher picked a sample size of 300 american adults to score quantitatively the perceived gender-orientation of lavender.

We are told that when the score is smaller it indicates a mord feminine scent, when the score is larger it indicates a more masculine scent while a score of 12 indicates a gender neutral scent.

In this case the participants gave lavender a score of 10.28

From the above information we have the following :

Mean, µ = 12

Sample size = 300

Sample mean x' = 10.28

Since the sample mean is less than 12, the null and alternative hypotheses will be:

H0 : µ = 12

Ha : µ ≠ 12

This is a two tailed test because the alternative hypothesis is not gender based, which means lavender could be perceived to be either more feminine or more masculine.

The correct option is option C.

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

a path that is 7/8 of a mile long is divided into sections that are two sixteenth of a mile long how many sections are created? simplify 2/16 first to make your work easier.​

Answers

Answer:

There are going to be 7 sections in the path

Step-by-step explanation:

First Step:

Simplify 2/16 in 1/8

Second Step:

Since the path is 7/8 of a mile long, and the sections are 1/8 of a mile long. There will be 7 sections because 1/8 will go into 7/8 7 times.

I need help please look at the picture and tell me what x equals thank you.

Answers

Answer:

X= 72

Step-by-step explanation:

(x-2)+ (x-2)+(x-2) = 180°

or, 3x - 36 = 180°

or, 3x = 180+36

or, 3x = 216

or, x =216/3

or, x = 72°

Which matrix represents the system of equations below?

Y=10

4x-5y=3

Answers

Answer:

The matrix that represents the system of equations is:

[tex]\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right][/tex]

Step-by-step explanation:

We will use the first column for x, the second to y and the last for the independent term.

We have:

[tex]y=10\rightarrow0x+1y=10\\\\4x-5y=3[/tex]

Then, we can write the matrix to represent the system of equations as:

[tex]\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right][/tex]

QUESTION 1
The Senator of Azenator State, is worried about the rising numbers in high blood pressure related deaths in his
Jurisdiction and wants an end to this canker. A reputable medical research officer has claimed that, the
situation is probably as a result of the ageing population of his State. The blood pressures, Y (mmHg), and
Ages, X (years) of 10 hospital patients were sampled from Azenator State and summarized below.
Patient
A
B
C
DE
F
G
HI
J
Age (X) in Years
20 25 50
3045
60
10
15 35
70
BP(Y) in (mmHg) 80 85 125
90 100 135 80 70 100 140
NB: Approximate to 2 decimal places
Use the table to answer the questions that follow,
Calculate the product moment correlation coefficient for the data and interpret your result.
(3 Marks)​

Answers

Answer:

r=0.96

Step-by-step explanation:

The Pearson product-moment correlation coefficient (PMCC) is a numerical value between -1 and 1 that shows the strength of the linear relationship between two variables.

Given the result of 10 hospital patients which were sampled below:

[tex]\left|\begin{array}{c|ccccccccccccc}$Patient&A&B&C&D&E&F&G&H&I&J\\$Age (X) in Years&20&25&50&30&45&60&10&15&35&70\\$B.P.(Y) in mmHg&80&85&125&90&100&135&80&70&100&140\end{array}\right|[/tex]

To determine the product moment correlation coefficient for the data, we follow the steps below:

Step 1: Find the following as it was done in the table below.

[tex]\sum{X}~,~ \sum{Y} ~,~ \sum{X \cdot Y} ~,~ \sum{X^2}~,~and \sum{Y^2}[/tex]

Step 2: Take the sum of every column to obtain:

[tex]\sum{X}=360 ~,~ \sum{Y}=1005 ~,~ \sum{X \cdot Y}=40425 ~,\\~ \sum{X^2}=16500 ~,~ \sum{Y^2}=106475[/tex]

Step 3: Use the following formula to find the PMCC.

[tex]r=\dfrac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}}{\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}}[/tex]

[tex]=\dfrac{10\cdot 40425 - 360\cdot1005}{\sqrt{\left[10*16500}-\left(360\right)^2\right] \cdot \left[10*106475-\left(1005\right)^2\right]}}[/tex]

[tex]=\dfrac{42450}{\sqrt{1937265000}}\\=0.9645\\r\approx 0.96$ (correct to 2 decimal places)[/tex]

Interpretation

When r is closer to 1, there is a strong positive relationship between the variables. A value of 0 indicates that there is no relationship between the variables. Values close to -1 signal a strong negative relationship between the two variables.

Since r=0.96 which is closer to 1, we conclude that there is a strong relationship between the age and the high blood pressure related deaths in the state.

Other Questions
Can Lines be broken? Select the correct Answer from the drop-down menu Consider the equation (x^m)^3 = (x^13)^5 x (x-8) ^-5The value of m is ___A. 15B. 28 C. 35D. 70 5 sentence book summary any book no kids books tho For every turn of the citric acid cycle, one molecule of _____________________, four molecules of ___________________________, and one ___________________________molecule are produced. A graph shows the horizontal axis numbered 2 to 8 and the vertical axis numbered 10 to 50. A line increases from 0 to 4 then decreases from 4 to 9. Which type of function best models the data shown on Find the percent of decrease from 84 gallons to 45 gallons. Round to the nearest tenth of a percent if necessary. To win the Civil War, the South was counting on the fact that- ait was too large for the Union to conquer. bRichmond was close to Washington, DC. cits coastline was too long to attack. dthe Mississippi River was open for transporting goods. Find the area of the parallelogram.base is 7 cmslant height is 9 cmside is 12 cm Electromagnetic radiation is emitted when a charged particle moves through a medium faster than the local speed of light. This radiation is known as Cherenkov radiation. Cherenkov radiation is found in many interesting places such as particle detectors and nuclear reactors and can even be seen by astronauts when cosmic rays traverse their eyes. It should be stressed that the particle is never going faster than the speed of light in vacuum (or ccc), just faster than the speed of light in the material (which is always less than ccc). The creation of Cherenkov radiation occurs in much the same way that a sonic boom is created when a plane is moving faster than the speed of sound in the air. The various wavefronts that propagate in the material add coherently to create an effective shock wave. In this problem, you will become familiar with this type of radiation and learn how to use its properties to get information about the particles that created it. Part A What is the threshold velocity vthreshold(water)vthreshold(water)v_threshold (water) (i.e., the minimum velocity) for creating Cherenkov light from a charged particle as it travels through water (which has an index of refraction of n 400 times 7.50, step by step explanation what is the measurement of this angle A movie theature offers two containers. One container is a traiangular prism with a base area of 12cm and 19 cm of height, for $6.75. The other is a rectangular prism with a base area of 8cm and a height of 15cm, for $6.25. Which container is the better value? Use 3.14 as an approximation for pie WILL MARK BRAINLIEST The depth of a lake in Centerville changes over time due to rainfall and evaporation. A few months ago, the depth was 75 feet. Currently, the lake is 24% less deep. What is this year's depth? un cono mide 3 pulgadas de dimetro. a este cono le caben 12 pulgadas cbicas de agua. redondeada a la pulgada ms cercana. cul es la altura del cono? Which examples show how DNA technology has been used in medicine?The hormone testosterone can be produced through genetic engineering.Pacemakers can help to regulate heartbeats.Antibiotics like amoxicillin are available all over the world.Crops can be grown with less water available.Vaccines can be mass produced from transgenic bacteria.DONE True or false Protein is needed for growth and repair of muscle tissue Find the sum. Write your answer in simplest form. 1 1/2 + 2 3/10 Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 3^x + 1 Crunch Bunch cereal boxes come in two sizes. The mini cereal box of Crunch Bunch is a reduction of the standard box.