The wedge is one-eighth of the wheel of cheese. A cylindrical-shaped wheel of cheese has a radius of 3 inches and height of 1 inch. A wedge of cheese is sliced from the whole. a. Find the surface area of the cheese before it is cut, round to the nearest hundredth. The surface area of the cheese before it is cut is in. $^2$ . b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth. The surface area of the remaining cheese after the wedge is removed is about square inches. Question 2 Did the surface area increase, decrease, or remain the same

Answers

Answer 1

Answer:

1. a. 75.39 in² b. 65.97 in²

2. Decreased

Step-by-step explanation:

1.

a. Find the surface area of the cheese before it is cut, round to the nearest hundredth.

Since the cheese is a cylinder with radius, r = 3 inches and height, h = 1 inch, its tital surface area, A = 2πr(r + h)

Substituting the values of the variables into the equation, we have

A = 2πr(r + h)

A = 2π(3 in)(3 in + 1 in)

A = (6π in)(4 in)

A = 24π in²

A = 75.39 in²

b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth.

Since the area of the wedge, A' is one-eight the area of the cheese, A

A'= A/8

= 75.39 in²/8

= 9.42 in²

The area of the remaining cheese is thus, area of cheese - area of wedge  = A - A' = 75.39 in² - 9.42 in² = 65.97 in²

Question 2 - Did the surface area increase, decrease, or remain the same

Since the area of the remaining cheese, A' = 65.97 in² < A = 75.39 in², area of original cheese, the surface area decreased.


Related Questions

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

I believe it's 4 as 32 fluid ounces is 1 quart

Answer:

ok so you said 40 points but theres only 5 points....xD anyways,

we know that 4 would be as 32 fluid ounces.

that would equal 1 quart.

hope this helps! best of luck!!!!

If Cody has 11 dimes and quarters in his pocket, and they have a combined value of 170 cents, how many of each coin does he have?

Answers

Answer:

12 dimes and 2 quarters

Step-by-step explanation:

12 dimes is 120 cents and 2 quarters is 50 cents that perfectly gives us 170 cents. As worded if he has 11 Dimes and the rest is quarters and we want 170 cents then it's impossible. 11 dimes is going to be 110 cents plus 2 quarters is 160 cents or plus 3 quarters is going to be 185 cents. therefore you are either short or over the money.

2. Find the length of a side of a square if its area is:
a. 81 square inches
b. cm
c. 0.49 square units
d. m² square units

Answers

Answer:

9 inches ; 0.7 units ; m units

Step-by-step explanation:

The area of a square is give as :

The square of the side length of the square ; that is ;

Area of square = s² ;

Where s =! Side length of the square

Hence ;

A square with area = 81 in²

Length of its side = sqrt(81) = 9 inches

Area of square = 0.49 unit²

Length of its side = sqrt(0.49) = 0.7 units

Area of square = m² unit²

Length of its side = sqrt(m²) = m units

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

864 inches cubed

Step-by-step explanation:

Since the volume is the 3 units multiplied together, 16 x 9 x 6 is 864.

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ

Answers

Answer:

D

Step-by-step explanation:

They are trying to see how long it takes people to complete the writing portion of the test.

helpp:)))) PLS
Answer the following using >, <, or =. | − 4| ______ |4|

A: <
B: >
C: =

Answers

Answer:

=

Step-by-step explanation:

Because |-4| is basically 4 since its the absolute value of that..

Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is


PLEASE HELP ME!!!

Answers

1/6 I really don’t know if it’s right

The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=

0.15
x
+
20.8

Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit

Answers

9514 1404 393

Answer:

f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallon

Step-by-step explanation:

Given:

  daily cost function c(x) = x +11

  price-demand function p(x) = -0.15x +20.8

Find:

  daily profit function

  maximum daily profit

  quantity sold for maximum profit

  price for maximum profit

Solution:

The revenue is the product of price and demand:

  x·p(x) = -0.15x^2 +20.8x

The profit is the difference between revenue and cost:

  f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11

  f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function

__

The maximum profit will be had a the vertex of the curve, found where ...

  x = -(19.8)/(2(-0.15)) = 66

  f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40

The maximum profit is $642.40, when 66 gallons of ice cream are sold.

__

The price that will result in demand of 66 gallons of ice cream is ...

  p(66) = -0.15(66) +20.8 = 10.9

The price to charge per gallon to maximize profit is $10.90.

simplify (-2)^-3
a. -8
b. -1/8
c. 1/8
d. 8

Answers

Answer:

Its D because 2×2×2 equals 8 and they are both minus and knowing - times - makes + so it becomes 8

Answer:

B.) -1/8

Step-by-step explanation:

You flip the problem because of the negative exponent

[tex]\frac{1}{-2^3}[/tex]

This makes the exponent positive

Expand the denominator

(-2) * (-2) * (-2) = 4*(-2) = -8

1/-8 = -1/8

The graph below shows the solution set of which inequality ?? HELP FASTTT

Answers

Answer:

A.

The graph shows the solution set of the equality √x < -1

(No Solutions)

Which pair of expressions are equivalent?


27x + 45y and 7(9x + 7y)

2x + 18y and 2(x + 9y)


2(15x + y) and 30x + 15y


10(4x + 5y) and 20x + 10y

Answers

Answer:

second one

Step-by-step explanation:

Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2

So it will be 2x+18y

2*9=18

Prove that Newton-Raphson method for solving the equation [tex]x^{k} e^{x} = 0[/tex] (where k is constant) is given by this formula: [tex]x _{n +1} = \frac{(K-1)x_n + x_n^{2} }{K+x_n}[/tex]

Answers

We have proved that the Newton-Raphson iteration formula for solving the equation[tex]x^k e^x = 0[/tex] is given by [tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.[/tex]

To prove that the Newton-Raphson method for solving the equation [tex]x^k e^x = 0[/tex], where k is a constant, is given by the formula

[tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,[/tex]

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess [tex]x_n[/tex], we want to find a better approximation [tex]x_{n+1}[/tex]that is closer to the root of the equation [tex]x^k e^x = 0.[/tex]

The Newton-Raphson method involves the following steps:

Calculate the function value [tex]f(x_n) = x_n^k e^x_n[/tex] and its derivative [tex]f'(x_n) = k x_n^(k-1) e^x_n.[/tex]

Find the next approximation x_{n+1} by using the formula:

[tex]x_{n+1} = x_n - f(x_n) / f'(x_n)[/tex]

Let's apply these steps to our equation [tex]x^k e^x = 0[/tex]:

Calculate the function value and its derivative:

[tex]f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n[/tex]

Find the next approximation x_{n+1} using the formula:

[tex]x_{n+1} = x_n - f(x_n) / f'(x_n)[/tex]

Substituting the function value and its derivative:

[tex]x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)[/tex]

Simplifying the expression by combining like terms:

[tex]x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n[/tex]

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation[tex]x^k e^x = 0[/tex] is given by [tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.[/tex]

for such more question on Newton-Raphson iteration

https://brainly.com/question/17150870

#SPJ8

look at pic 10 pts will mark brainilest

Answers

Answer:

The Answer is C

Step-by-step explanation:

2.00/5= C

can i have brainlist please :)

Use the distributive property to write the next step in simplifying the equation.
Use the asterisk symbol ( * ) to represent multiplication. Do not multiply
factors fully and do not use spaces.
-1(3 + x) = 27

Answers

Answer:

-1*3-1*x=27

Step-by-step explanation:

repersent 3 and 1/3 on a number line​

Answers

Answer:

Step-by-step explanation:

To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated beneath. By utilizing a similar system, point O addresses 0/3 and point An addresses 3/3.

Another way of saying it is:

In portrayals of divisions on a number line we can show parts on a number line. To address 1/2 on the number line, draw the number line and imprint a direct A toward address 1.  

Presently, split the hole among O and An into halves. Leave T alone the mark of division. At that point, point T addresses 1/2.  

Portrayals of Fractions on a Number Line  

To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated underneath.  

Portions on a Number Line  

By utilizing a similar technique, point O addresses 0/3 and point An addresses 3/3

brainliest?

Find the measure of the arc or angle indicated.
Find the meausre of arc HG.

Answers

Answer:

the measure of arc HG is 136

Look at the image for the question:

Answers

9514 1404 393

Answer:

  te, tm, (m-e), t

Step-by-step explanation:

The problem statement tells you how to interpret the expressions and their parts.

Swap the top two expressions on the right and the list will be in the appropriate order:

tetmm-et

Find the missing side length.
AJKL ~ AGKH

Answers

The answer should be 15

PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B

Answers

Answer:

because cfd eaquls a+b lllllllllll

Answer:

Step-by-step explanation:

IT is either the same as 7x+4 because it is infront of each other or you add 8x+6 and 6x+2 then you substract that from 180 to find out the remaining angle. Of course you have to subtitute the amount of x first.

someon help me answer this!!

Answers

Answer:

12.0 units is the answer

Step-by-step explanation:

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-2))^2 + (1-(-8))^2}\\\\d=\sqrt{(8\\)^2+(9)^2} \\\\d=\sqrt{64+81} \\\\d=\sqrt{145} \\\\d=12.041...[/tex]

Rounding off,

d = 12.0 units

True or false? if Matrix A is 3 X 2 and matrix B is 2 X 17 matrix, you can do A X B

A. True
B. False

Answers

What he said on the top

Reuben will rent a car for the weekend. he can choose one of two plans. the first has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.70 per mile driven. How many miles would Reuben need to drive for the two plans to cost the same? ​

Answers

Answer:

80 miles for the .9 one.

Step-by-step explanation:

50 points and brainliest!
Solve for x: 3a-b/x-b=1/x+1, if a≠b+1/3
(a picture will be provided as well)

Answers

Answer:

3a-b/(x-b)=1/(x+1)Doing criss cross multiplication

3a(x+1)-b(x+1)=x-b

3ax+3a-bx-b=x-b

3ax-bx-x=b-3a-b

x(3a-b-1)=-3a

x=3a/(3a-b-1)

Can someone help me solve this one step equation

Answers

Answer:

b = -108

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] - 6 = \frac{b}{18} \\ cross \: multiply \\ b = - 6 \times 18 \\ b = - 108[/tex]

Hope it will help :)❤

Annette had a 24 karat gold necklace with a mass of 2.3grams. she sold for $123.51.What was the price per gram of her necklace?

Answers

Answer:

$53.70 per gram

Step-by-step explanation:

Just divide the price (123.51) by the amount of grams (2.3) to get your answer, which should be $53.70 per gram

Hopefully this helps - let me know if you have any questions!

What is the median of 2,1,2,5,3

Answers

Answer:

2

Step-by-step explanation:

Rearrange the data set in numerical order: 1, 2, 2, 3, 5 and take the number in the middle.

Callie's and jordan's families were driving to their family reunion in Marshall. Callie's family traveled from Ontario to Marshall. Jordan's family traveled from lucerne to Marshall.haw many more miles did one family drive than the other?
A.41.9 miles
B.423.4 miles
C.465.3
D.888.7​

Answers

Answer:

it's 423.4 miles

Step-by-step explanation:

sotry for taking a while I didn't get your notification

Which type of parent function does the equation f (x) = a represent?

Answers

Parent functions are the base function of a family function. [tex]f(x) = \sqrt x[/tex] is the parent function of the square root function

Given that:

[tex]f(x) = \sqrt x[/tex]

The parent function of a cube root function is:

[tex]f(x) = x^3[/tex]

The parent function of a reciprocal function is:

[tex]f(x) = \frac 1x[/tex]

The parent function of an absolute function is:

[tex]f(x) = |x|[/tex]

The parent function of a square root function is:

[tex]f(x) = \sqrt x[/tex]

By comparing the above parent functions to [tex]f(x) = \sqrt x[/tex], we can conclude that [tex]f(x) = \sqrt x[/tex] is the parent function of a square root function.

Hence, (d) is true

Read more about parent functions at:

https://brainly.com/question/17939507

Mendeleev was the first to organise elements based on their similarities *
True
False

Answers

Answer: True

Step-by-step explanation:

Which equation below allows you to solve 2x2 - 15 = x Using the zero-product property?​

Answers

Answer:

A is the correct answer .

Step-by-step explanation:

Hope this helps .

The equation that allows you to solve the given equation is (x-3)(2x+5).

What is a quadratic equation?

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a is non-zero.

The given quadratic equation is:

[tex]2x^{2} -15=x[/tex]

[tex]2x^{2} -x-15=0[/tex]

[tex]2x^{2} -6x+5x-15=0[/tex]

[tex]2x(x-3)+5(x-3)=0[/tex]

[tex](x-3)(2x+5)=0[/tex].......(1)

So, the required equation is equation(1).

Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).

To get more about quadratic equations visit:

https://brainly.com/question/1214333

Other Questions
Explain the difference between a short-run and long-runproduction function. Cite one example of this difference in abusiness situation. If a translation of the figure above is plotted 7 units to the right and 2 units up, where will point A' be located on the new figure? A. (7,2) B. (-12,3) C. (12,3) D. (2,7) After doing research on plants and fertilizers, a 5th grade science class states the hypothesis for their experiment; "If a plant receives fertilizer, then it will grow to be bigger than a plant that does not receive fertilizer." To test this hypothesis the students must ______________. A) make observations B) collect and record data C) determine and follow a procedure D) make observations, collect and record data, and determine and follow a procedure You want to take earnings from your part-time job to pay for a new laptop. Your monthly take-homepay is $500 and the laptop costs $1,200. What percentage of your pay do you need to save in order tobuy the laptop in 12 months?a. 5%b. 10%c.15%d.20% 14. If one half-life is the amount of time it takes for a radioactive isotope to decay by a factor of 2,approximately which percent describes how much of the initial quantity of a substance wouldremain after 2.3 half-lives? How does human consumption of limited resources (energy), impact the biosphere? answer at least 5 of these questions. if you could answer all of them that would be great 5.The employees of Xitrex, Inc., are paid each Friday. The companys fiscal year-end is June 30, which falls on a Wednesday for the current year. Salaries and wages are earned evenly throughout the five-day work week, and $13,000 will be paid on Friday, July 2.Required:1. Prepare an adjusting entry to record the accrued salaries and wages as of June 30, a reversing entry on July 1, and an entry to record the payment of salaries and wages on July 2.2. Prepare journal entries to record the accrued salaries and wages as of June 30 and the payment of salaries and wages on July 2 assuming a reversing entry is not recorded. 18. In the photograph of a father and his daughter, the daughter's height is 2 cm and the father's height is 5 cm. If the father's height is actually 185 cm, how tall is the daughter? identify the solute in the following: carbon dioxide dissolved in watera. water b. carbon dioxide c. none of the aboved. carbon dioxide and water Find x to the nearest tenth Information from accounting records is important for making business decisions. What are some examples of business decisions that require the use of accounting information?andThe accounting equation is important to businesses as well as individuals. What are the various parts of the accounting equation? Explain how the accounting equation can be used to analyze the financial position of a business or an individual. A team fills a whiteboard as they brainstorm ways to reengineer a process. Nate comes up with a coffee-flavored cocktail, blending his two favorite drinks into one. An administrative assistant needs to set up a series of meetings, and each meeting is at a different location with different people and has different catering requirements. a.Fluency b.Flexibility c.Originality A steel tank is completely filled with 1.60 m3 of ethanol when both the tank and the ethanol are at a temperature of 33.0 C .Part AWhen the tank and its contents have cooled to 20.0 C, what additional volume of ethanol can be put into the tank? In December of 2021, XL Computer's internal auditors discovered that office equipment costing $800,000 was charged to expense in 2019. The asset had an expected life of 10 years with no residual value. XL would have recorded a half year of depreciation in 2019, Required: Prepare the necessary correcting entry that would be made in 2021 (ignore income taxes), and the entry to record depreciation for 2021. (if no entry is required for a transaction/event, select "No journal entry required" in the first account field.) Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress? Summarize the outcome of the United States' supportfor South Korea and the Soviet Union's alliance withNorth Korea. consumer reports evaluates products for consumers. the file compactsuv (click on the datafile logo to reference the data) contains the data shown in the table below for________ Natalie made blueberry muffins for a bake sale. Each muffin cost her about $0.25 to make. She spent $8.75 to make all of the muffins. Natalie sold each muffin for $0.50 more than it cost her to make. What is the total amount of money that Natalie received from selling her muffins? Gavrilo Princip belonged to the terrorist group called the Black Hand. What was its goal?