Noah edits the school newspaper. He is planning to print a photograph of a flyer for the upcoming school play. The original flyer has an area of 576 square inches. The picture Noah prints will be a dilation of the flyer using a scale factor of . What will be the area of the picture of the flyer in the newspaper?

Answers

Answer 1

The area of the picture of the flyer in the newspaper is 36 square inches.

The area of a figure is squared when the dimensions are multiplied by the scale factor k. Thus, if the scale factor of dilation is k, then the area of the new figure will be k² times the area of the original figure. In this case, the scale factor is 0.25, since the picture is a dilation with a scale factor of 1/4. Therefore, the area of the picture will be:

Area of picture = scale factor² x Area of original flyer

Area of picture = (0.25)² x Area of original flyer

= 0.0625 x 576 square inches

= 36 square inches

Therefore, the area of the picture of the flyer in the newspaper will be 36 square inches.

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Related Questions

Delta owns a D.C. 10 airplane that has seats for 318 people. The company flies this airplane only if there are at least 96 people on the plane. Write a compound inequality to show the possible number of people on a Delta flight. Let n represent the amount of people.

Answers

Answer: n greater than or equal to 96 or n is greater than or less than 318

Step-by-step explanation:

Brainliest plz

What is the Next number in this series 7 11 19 35?

Answers

Answer:

67

Step-by-step explanation:

we have a gap between 1st and 2nd terms of 4. a gap between 2nd and 3rd of 8. 16 for next gap. the gap doubles every time.

so we expect gap between 4th and 5th terms to be 2 X 16 = 32.

35 + 32 = 67. that is the next number in the sequence.

PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!

PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!

Answers

Answer:

33 degrees and 34 degrees

Step-by-step explanation:

x+(x+1) = 67

2x+1=67

2x=66

x=33

the other angle is 1 degree more, so 34

Eli uses 2 1/3 cups of strawberries and 3 3/6 cups of blueberries to make a fruit salad. Which is a reasonable estimate for the amount of fruit Eli uses to make the fruit salad?

Answers

The amount of fruit Eli uses to make the fruit salad = 35/6

Let us assume that x represents the total amount of fruit.

Eli uses 2 1/3 cups of strawberries

First we write the improper fraction as a proper fraction.

2 1/3 = 7/3

And she uses 3 3/6 cups of blueberries to make a fruit salad.

An improper fraction 3 3/6 = 3 1/2

                                             = 7/2              (proper fraction)

So, the total amount of fruit used in fruit salad:

x = 7/3 + 7/2

x = 7(1/3 + 1/2)

x = 7(5/6)

x = 35/6

Therefore, the required amount of fruit = 35/6

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A shed can hold up to 1620 cubic feet. Items totaling 1180 cubic feet are put
into the shed. If the variable v stands for the amount of additional volume the
shed can hold, which would be a reasonable value for ?
A.) 12 cubic feet
B.) 2800 cubic feet
C.) 0.4 cubic feet
D.) 400 cubic feet

Answers

Answer:

c is the answer

Step-by-step explanation:

Answer:

D. 400 cu ft/

Step-by-step explanation:

1620 - 1180

= 440.

Please help, Find the perimeter of the figure to the nearest hundredth

Please help, Find the perimeter of the figure to the nearest hundredth

Answers

Answer:

28.56 inches

Step-by-step explanation:

you need to find the circumference of a circle with a diameter of 4, ∴ radius is 2

C = 2πr

C = 4(3.14)

C = 12.56

Now add 12.56 to the two sides that are 6 inches and also add the four 1 inch segments to the right and left of each semi-circle.

12.56 + 2(6) + 1(4) = 12.56 + 12 + 4 which totals 28.56

PART A team members Eric and Natalia secure a grant for $75.00 to buy beams and channels. If the team needs 3 beams and 6 channels, will the grant cover the cost? If so, how much of the grant will remain?

PART B
Team members Corinne, Kevin, and Tomas decide to share the cost
of 2 motor controllers and 4 wheels equally. How much does each
member need to contribute?

PART C
Nyan Robotics has a budget of $99 to buy sprockets, axles, and gears.
If they spend of the budget on sprockets, how much money from the
budget remains to buy axles and gears?

PART A team members Eric and Natalia secure a grant for $75.00 to buy beams and channels. If the team

Answers

A) The grant that will remain is; 3B + 6C - x = $75

B) The amount that each member needs to contribute is; 2M4W

C) The amount of money from the budget that remains to buy axles and gears is; $0

How to solve Algebraic Word Problems?

A) The grant will remain:

3B + 6C - x = $75

Where;

B = Beams

C = Channels

X = Balance which may or may not be Zero.

B) Corinne contributes

C + K + T = Cost of 2M4W

Where;

C = C's contribution

K = Kevin's contribution

T = Tomans contribution

2M4W is the cost of the Wheels and the motor controllers.

C) If all the Budget is spent on Sprockets, there will be $0 left to spend on Axles and Gears.

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Please solve these 2 questions. (Show work and get 70 points)

Please solve these 2 questions. (Show work and get 70 points)

Answers

The number of bandages made from the fabric is 35 and the number of hours traveled is 14 hours

The number of bandages made from the fabric

The given parameters are

Area of a bandage = 2 4/5 square inches

Area of fabric = 98 square inches

The number of bandages made from the fabric is calculated as

n = Area of fabric/Area of a bandage

This gives

n = 98/(2 4/5)

Evaluate

n = 35

Hence, the number of bandages made from the fabric is 35

The number of hours traveled

Here, we have

Speed = 3 1/3 miles per hour

Distance = 46 2/3 miles

The number of hours traveled is calculated as

Time = Distance/Speed

So, we have

Time = (46 2/3)/(3 1/3)

Evaluate

Time = 14

Hence, the number of hours traveled is 14 hours

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Find a positive number such that the sum of and is as small as possible. does this problem require optimization over an open interval or a closed interval? a. closed b. open

Answers

To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible.

To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible. So, we need to minimize the sum of and . Now, let's use calculus to find the minimum value of the sum.To find the minimum value, we have to find the derivative of the sum of and , i.e. f(x) with respect to x, which is given by f '(x) as shown below:

f '(x) = 1/x^2 - 1/(1-x)^2

We can see that this function is defined on the closed interval [0, 1]. The reason why we are using the closed interval is that x is a positive number, and both endpoints are included to ensure that we cover all positive numbers. Therefore, the problem requires optimization over a closed interval. This means that the minimum value exists and is achieved either at one of the endpoints of the interval or at a critical point in the interior of the interval.

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Construct a triangle PQR in which ∠Q = 75°, PQ = 7 cm and QR = 9 cm. Measure ∠R

Answers

Well I’m suck at studying n I would help u but uk

Richard has an account balance of -75 dollars. Which of the following equations accurately describes the size of Richard's debt?
Group of answer choices

-75=75 meaning that Richard has a debt of 75 dollars

Absolute value of |-75| = 75 meaning that Richard has a debt of 75 dollars

Absolute value of |-75|=-75 meaning that Richard has a debt of -75 dollars

Absolute value of |75|=-75 meaning that Richard has a debt of -75 dollars

Answers

The equation that describes the size of Richard's debt is absolute value of |-75| = 75 meaning that Richard has a debt of 75 dollars (second option)

What is the absolute size of Richard's debt?

The account balance is a negative number. A negative number is a number that is less than 0. A negative number has a minus in front of it. An example of a negative number is -75.

If the account balance is negative, it means that Richard has overdrawn his account and he is in debt. He owes the bank money.

The sign that is used to represent absolute value in mathematics is I I. The absolute value of I-75I is 75.

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Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can she pot in 2 1/2 hours?

Answers

Step-by-step explanation:

First find how many plants Samantha can plant in half an hour. To figure that out do 12 divided by 3 because in 1.5 hours she can plant 12 plants.

12÷3=4

Samantha can plant 4 plants in half an hour. Since 2.5 hours in 1 more hour than 1.5 hours multiply 4 by 2 to get the total amount she can plant in one hour.

4 x 2 = 8

Samantha can plant 8 plants in an hour. Now add 8 to 12 because 12 plants is 1.5 hours and 8 plants is 1 hour and 1.5 + 1 = 2.5 hours.

8 + 12 = 20.

Samantha can plant 20 plants in 2.5 hours.

(1 point) a pizza parlor offers a choice of 16 different toppings. how many 2-topping pizzas are possible?

Answers

Answer:

120 pizzas

Step-by-step explanation:

the following is a poisson probability distribution with µ = 0.1

Answers

The mean of the Poisson distribution is found to be 0.1.

How do we calculate?

The mean of a Poisson distribution is given by µ, which is the expected number of occurrences in the specified interval.

In our scenario above, µ = 0.1, which means we expect to have 0.1 occurrences in the specified interval.

We use

µ = ΣxP(x),

and  ΣxP(x) = sum of the product of each value of x

µ = (0 × 0.9048) + (1 × 0.0905) + (2 × 0.0045) + (3 × 0.0002)

µ = 0 + 0.0905 + 0.009 + 0.0006

µ = 0.1

In conclusion, the mean of the Poisson distribution is 0.1.

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complete question:

The following is a Poisson probability distribution with µ = 0.1. x P(x)

0 0.9048

1 0.0905

2 0.0045

3 0.0002

The mean of the distribution is _____.

Need some help please

Need some help please

Answers

vjsdvnruivneruijnbver

Quicksort
numbers \( =(56,25,26,28,81,93,92,85,99,87) \) Partition(numbers, 5, 9) is called. Assume quicksort always chooses the element at the midpoint as the pivot. What is the pivot? What is the low partitio

Answers

When Partition(numbers, 5, 9) is called in Quicksort for the array (56,25,26,28,81,93,92,85,99,87), the pivot is 92. The low partition is (56,25,26,28,81,85,87).

When Partition(numbers, 5, 9) is called in Quicksort with the array numbers = (56, 25, 26, 28, 81, 93, 92, 85, 99, 87), the element at the midpoint between index 5 and index 9 is chosen as the pivot.  The midpoint index is (5 + 9) / 2 = 7, so the pivot is the element at index 7 in the array, which is 92.

After the partitioning step, all the elements less than the pivot are moved to the low partition, while all the elements greater than the pivot are moved to the high partition. The low partition starts at the left end of the array and goes up to the element just before the first element greater than the pivot.

In this case, the low partition after the partitioning step would be (56, 25, 26, 28, 81, 85, 87), which are all the elements less than the pivot 92. Note that these elements are not necessarily in sorted order yet, as Quicksort will recursively sort each partition of the array.

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Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan

Answers

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Which line plot displays a data set with an outlier?
help me

Which line plot displays a data set with an outlier?help me

Answers

Bottom left.

It has a point that is the farthest from the rest of the points. That point is an outlier.

Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0. Find all such values c and enter them as a comma-separated list. Values of c =: (1 point) Consider the function graphed below. P n ? Does this function satisfy the hypotheses of the Mean Value Theorem on the interval a, b ? Does it satisfy the conclusion?? f(b) f(a)2 At what point c is f'(c) b - a

Answers

Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2  such that f'(c) = 0.

Given:

Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.

f(x)=x^2−4x+8, [0,4]

when, x = 0

f(x) = x^2 -4x +8

f(0) = y = 0 - 0 + 8 = 8

when, x=4

f(5) = y = 16 - 16+8 =

thus, we have 2 points (0, 8) ; (4, 8)

slope,m = {8-(8)} / {4-0} = 0

hence, we have to calculate all the points,x where 0<x<8 and slope=0

f '(x) = 2x - 4 = 0

or, f '(c) = 2c - 4 = 0

c = 4/2 =2 ( 0<x<4)

hence, the there is only one solution c=2 which satisfies Rolle's theorem.

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Select the correct answer.

Select the correct answer.

Answers

Answer:

D. \(3\sqrt{22b}\)  

I hope this helps!

Will give bainlyest!
What are the key features of the graphs exponential functions? Explain how you find each key feature and what happens to the graphs if you were to add or subtract a constant term.

Answers

Answer:

The graphs of all exponential functions have these characteristics. They all contain the point (0, 1), because a0 = 1. The x-axis is always an asymptote. They are decreasing if 0 < a < 1, and increasing if 1 < a.

When a business makes Money than it spends it makes a profit

Answers

Answer:

Profit means your business is making more money than it spends to stay in business so yes.

3,524 a que numero decimal corresponde?

Answers

Answer:

3,524 corresponde al fraccionario \(\frac{3524}{1000}\).

Step-by-step explanation:

La coma está desplazada tres espacios (3 dìgitos) hacia la izquierda del observador, el número decimal tiene su equivalente forma fraccionaria, en donde el numerador son todos los dìgitos en series y el denominado tiene la forma 10ⁿ, donde n es la cantidad de espacios que ha sido desplazada la coma. Entonces, 3,524 tiene la siguiente expresión:

\(3,524 = \frac{3524}{10^{3}}\)

\(3,524 = \frac{3524}{1000}\)

3,524 corresponde al fraccionario \(\frac{3524}{1000}\).

6. approximately 84% of persons age 70 to 84 live in their own household and are income-qualified for home purchases. if four persons are randomly selected from this population, the probability that exactly two of the four live in their own household and are income-qualified is:

Answers

The probability that exactly two of the four persons selected live in their own household and are income-qualified is approximately 0.1075 or 10.75%.

Probability of success (p): The probability that a person selected from the population lives in their own household and is income-qualified. From the given information, p = 0.84.

Probability of failure (q): The probability that a person selected from the population does not live in their own household and is not income-qualified. Since q is the complement of p, we have q = 1 - p = 1 - 0.84 = 0.16.

Number of trials (n): We are selecting four persons from the population, so n = 4.

Number of successes (k): We want exactly two persons to live in their own household and be income-qualified, so k = 2.

Now we can calculate the probability using the binomial probability formula:

P(X = k) = C(n, k) * p^k * q^(n-k)

where C(n, k) is the binomial coefficient, given by C(n, k) = n! / (k! * (n-k)!).

Plugging in the values, we get:

P(X = 2) = C(4, 2) * (0.84)²* (0.16)⁽⁴⁻²⁾

Calculating the binomial coefficient:

C(4, 2) = 4! / (2! * (4-2)!) = 4! / (2! * 2!) = 6.

Substituting the values:

P(X = 2) = 6 * (0.84)² * (0.16)⁽⁴⁻²⁾

Calculating the result:

P(X = 2) = 6 * 0.84² * 0.16²

= 6 * 0.7056 * 0.0256

= 0.1075 (approximately)

Therefore, the probability that exactly two of the four persons selected live in their own household and are income-qualified is approximately 0.1075 or 10.75%.

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Percy drew a scale drawing of a hotel. A room in the hotel is 6 inches long in the drawing. The actual room is 24 feet long. What scale did Percy use for the drawing?

1 inch:__ feet

Answers

Answer:

4

Step-by-step explanation:

24/6=4

in percent the whole of an amount W is measured by the formula W=100N/P where N=part and P=percent solve the formula for P (SAVVAS MATH XL)

Answers

The equation of P in the given equation is P = 100N/W

How to solve for P in the equation?

The equation is given as:

W = 100N/P

Multiply both sides by P

WP = 100N

Divide both sides by W

P = 100N/W

Hence, the equation of P in the given equation is P = 100N/W

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Mrs. Roberts has a square garden with an area of 36 square feet. She wants to put a fence around only 3 sides of her garden. How many feet of fencing material does she need? a. 9 feet b. 27 feet C. 36 feet d. 18 feet ouoc hoyes una ramn before pushing them onto a platform to​

Answers

Answer:

27 feet.

Step-by-step explanation:

This is quite simple. As a square has equal lenght and width we can tell that 6x6=36. So each side has a lenght of 6 feet.  With only 3 sides needed for fencing, 6x3=27. Mrs. Roberts needs 27 feet of fencing.

What is the range of the function _____ ?

What is the range of the function _____ ?

Answers

Answer: i think it is C

Step-by-step explanation: brainiest please?

I NEED HELP!!!!!!!!!!!!

I NEED HELP!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

123

Srishti obtain 92% out of 800 full Marks khristie obtained 72% out of the same full marks by how much is shirsthi60 marks more than khristie's​

Answers

Answer:

here how 60 marks more than khriste means how many 60 more we can first find the 72% of 800=

800÷100×72= 576 number

same in sristhi = 92% of 800= 800÷100×92= 736

now how many 60s increased = 736-576= 160

= 160÷ 60= 2.6 more ANSWER

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The thickness of paperback books in a certain section of a library is Normally distributed with mean 1.9 cm and variance 0.90 2 cm.The thickness of hardback books in the same section of the library is Normally distributed with mean 3.2 cm and variance 1.80 2 cm.a) Find the probability that 20 paperback books will fit on a 36 cm shelf.b) Determine the probability that 8 paperback books and 8 hardback books willfit on a 36 cm shelf.c) Determine the smallest length of shelving so that 16 hardback books have atleast a 99% chance to fit on.______ cm. What is the slope of the line whose equation is 3x 2y 10? I'm doing an anatomy assignment, and I don't really understand how signals travel down a neuron. I'm supposed to explain this using words like Sodium, potassium, channels, action potential, and other words. Can someone please explain how signals travel down a neuron? in turbidity (absorbance) determination, Why are the tubes read in the reverse order? research has shown that there is a relationship between teacher education and the quality of the learning environment. true false 4. BE = 20, DE = 5, EO = 19 find DT( Question 1 (1 mark)Learning goal 1: Which of these statements about matter arecorrect?'Matter includes substances that take up space and havemass-Organisms need matter to grow-Food, air and water are all types of matter-The Sun provides a constant supply of matter for foodchains Which number(s) below belong to the solution set of the equation? Check allthat applyx + 9 = 26A. 17B. 234C. 52D. 35E. 26F. 3 On the grid draw y = 4x - 5 for values of c from -2 to 2 Provide the reagents necessary to carry out the following conversion The system below is at equilibrium. The crane arm BD has a massof 5000 kg and a centre of mass at G1. The crane arm BC has a massof 2000 kg and centre of mass at G2. Determine the mass of thecounte elsa sold 24 drawings for $12 each at the art fair. She is going to use 1/3 of the money to buy books. The rest of the money is going into her savings account. How much money will she put into her savings account? 3) g(x) = 3x - 5f(x) = x +3Find g(x) + f(x)A) x2 + 3x - 2C) x - 4x + 6B) x 3x - 2D) -x - x + 1 26. Which of the following lines demonstrates the Volta?a. "My lave, who fell for me so long ago, / Still loves me just as much, and tells me so*b. "My glass can't quite persuade me I am old-- / In that respect my ageing eyes are kind"C."The dismal truth: I've left my youth behind.../ My knees remind me they are past their best.'d. "Sometimes causing mild to moderate pain, / Could well persuade me I'm an ancient wreck'Sonnet by Wendy cope The derivative of f is given by f ' (x) = e^x(-x3 +3x) - 3 for 0 x 5 . At what value of x is f(x) anabsolute minimum? Investigate the following list of performances. Cyrano de Bergerac (pice de thtre) Notre Dame de Paris (comdie musicale). Giselle (ballet) Le Carnaval des Animaux (suite d'orchestre)Chose the performance that most appeals to you. Then, use sources from the Internet or from your school or local library to do in-depth researchon your favorite performance. Watch videos on the performance, if possible.Write a one paragraph (6-8 sentences) reflection, in English, in response to the following: Describe the set, characters, and/or instrumentation. Give some basic information about the story, the plot and/or the purpose.Reflect on the performance that you saw: What did you like? What did you not like? What was surprising?Have you been to a live performance before? How did it compare to this one? sodium polystyrene sulfonate is ordered for a patient with hyperkalemia. what should the nurse assess Q2: Count Occurrences Implement count_occurrences, which takes in an iterator t and returns the number of times the value x appears in the first n elements of t. A value appears in a sequence of elements if it is equal to an entry in the sequence. Note: You can assume that t will have at least n elements. what format is used for the flat plaintext files some e-mail systems use for message storage? A congressional district that was redistricted so that a representative from a minority group is guaranteed to be elected is said to be packed, which is a strategy for ______