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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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.
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?
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!!
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?
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
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
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?
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)
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 fabricThe 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 traveledHere, 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
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
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
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?
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?
Answer:
120 pizzas
Step-by-step explanation:
the following is a poisson probability distribution with µ = 0.1
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
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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
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
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
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
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.
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.
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
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?
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:
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
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)
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
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 _____ ?
Answer: i think it is C
Step-by-step explanation: brainiest please?
I NEED HELP!!!!!!!!!!!!
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
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