14. Pizza palace offers five sizes personal: (8 inches) small:(10 inches) medium:(12 inches) large:(14 inches) and extra large:(16 inches) the cost c(d) of making a pepperoni pizza can be expressed as a function of the diameter D of the pizza. What is the average rate of change in cost from an eight inch to a sixteen inch pizza?
Answers
The average rate of change in the cost of the pizza from an 8-inch to a 16-inch pizza is 0.9425.
Given that:
There are five sizes of pizza.
Personal of size 8 inches, small size of 10 inches, medium size of 12 inches, large size of 14 inches, and extra large size of 16 inches.
The cost of the pizza is a function of the diameter.
Also, a table is given that shows the diameter of the pizza and the cost of the pizza based on the diameter.
From the table:
Cost of 8-inch pizza = 2.51
Cost of 16-inch pizza = 10.05
The average rate of change of a function f(x) from points a to b can be found as:
[tex]\text AroC=\frac{f(b)-f(a)}{b-a}[/tex]
The average rate of change in cost is:
[tex]\text AroC=\frac {10.05-2.51}{16-8} \\\text AroC=\frac{7.54}{8} \\\text AroC=0.9425[/tex]
Hence, the average rate of change in cost is 0.9425.
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The table showing the cost as a function of diameter is given below.
The average rate of change in cost from an 8-inch to a 16-inch pizza is 0.9425 dollars per inch.
To find the average rate of change in cost from an 8-inch to a 16-inch pizza, we need to calculate the average rate of change of the cost function [tex]\( C(d) \)[/tex] with respect to the diameter [tex]\( d \).[/tex]
Given data:
[tex]- \( C(8) = 2.51 \)\\- \( C(10) = 3.93 \)\\- \( C(12) = 5.65 \)\\- \( C(14) = 7.70 \)\\- \( C(16) = 10.05 \)[/tex]
The average rate of change of [tex]\( C(d) \)[/tex] from 8 inches to 16 inches is given by:
[tex]\[\text{Average rate of change} = \frac{C(16) - C(8)}{16 - 8}\][/tex]
First, calculate [tex]\( C(16) - C(8) \):[/tex]
[tex]\[C(16) - C(8) = 10.05 - 2.51 = 7.54\][/tex]
Then, calculate [tex]\( 16 - 8 \):[/tex]
[tex]\[16 - 8 = 8\][/tex]
Now, divide to find the average rate of change:
[tex]\[\text{Average rate of change} = \frac{7.54}{8} = 0.9425\][/tex]
Therefore, the average rate of change in cost from an 8-inch to a 16-inch pizza is 0.9425 dollars per inch.
The complete question is:
Pizza palace offers five sizes personal: (8 inches) small:(10 inches) medium:(12 inches) large:(14 inches) and extra large:(16 inches) the cost c(d) of making a pepperoni pizza can be expressed as a function of the diameter D of the pizza. What is the average rate of change in cost from an eight inch to a sixteen inch pizza?
Related Questions
The table shows the number of flowers in four bouquets and the total cost of each bouquet.
What is the correlation coefficient for the data in the table?
–0.57
–0.28
0.28
0.57
Answers
we know that
The correlation coefficient is a number between [tex]-1[/tex] and [tex]+1[/tex] that represent the linear dependence of two variables or sets of data
Using the function CORREL in a excel tool, calculate the correlation coefficient (r)
see the attached table
the correlation coefficient for the data in the table is equal to [tex]0.28[/tex]
therefore
the answer is
[tex]0.28[/tex]
It should be noted that in the table, the correlation coefficient for the data is C. 0.28.
Correlation coefficient.It should be noted that a correlation coefficient simply means the number that's between -1 and +1.
It represents the linear dependence between the two variables. In this case, the correlation coefficient for the data is 0.28.
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Joe has a savings account and a credit card. He has $422 saved in his savings account and has purchased $484 worth of merchandise on his credit card. Use positive and negative numbers to explain the sitiuation. Is Joe's overall balance represented by a positive or negative number? Justify your answer.
Answers
Peter walks 3 minutes at a constant rate and travels 330 meters. If we graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is . If Peter walks for an hour, the point on the line that represents the distance he walks with respect to time is . NextReset
Answers
It seems that some info is missing from your problem statement. Ensure that you have shared everything about it.
Walking at 110 m/min, Peter would cover 110 m/min times 60 minutes in one hour. That would be 6600 meters, or 6.6 km.
The point on the line that represents the distance Peter walks in an hour with respect to time is (60 minutes, 6600 meters).
What is the distance?Distance is defined as the product of speed and time.
The slope of the line representing the relationship between time and distance is the speed at which Peter is walking.
In this case, the slope is 330 meters / 3 minutes = 110 meters/minute. This means that Peter is walking at a speed of 110 meters per minute.
If Peter walks for an hour, the point on the line that represents the distance he walks with respect to time is (60 minutes, ?). To find the distance that Peter walks in an hour, we can use the formula for the distance traveled: distance = speed x time.
Plugging in the values, we get distance = 110 meters/minute x 60 minutes = 6600 meters.
Therefore, the point on the line that reflects Peter's walking distance in an hour in relation to time is (60 minutes, 6600 meters).
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$1.12 for 8.2 ounces? Unit Rate
Answers
First you divide 1.12 by 8.2 to get the unit rate because It takes $1.12 to buy 8.2 ounces. 1.12/8.2=13.65853659
find 1/2 of 5 less than 10
Answers
(10 - 5)/2
5/2 = 2.5
So, the answer is 2.5
Spencer orders 235 cans of tomatoes to make salsa for the festival. What is 235 rounded to nearest 10
Answers
In solving this problem, you should know the basic place values:
For example:
243. in this example, 200 is the hundreds, 40 is the tens and the 3 is the ones.
So for our problem, 235 if rounded off to the nearest tens, it would be 240. Since according to the rules if the ones is 5 and above, the number will be rounded off.
We round down if the ones is 4 and below.
The number 235 rounded to the nearest ten is 240.
1. Identify the digit in the tens place of the number: In 235, the digit in the tens place is 3.
2. Look at the digit to the right of the tens place: In 235, the digit to the right of 3 is 5.
3. Determine if the digit in the tens place rounds up or down: Since 5 is 5 or greater, we round up the digit in the tens place.
4. Replace the digits to the right of the tens place with zeros: When rounding to the nearest 10, we only consider the digit in the tens place and ignore the digits to the right of it. So, we replace the digits to the right of the tens place with zeros.
5. Increase the digit in the tens place by 1 if rounding up: Since we are rounding up from 3 to the next higher multiple of 10, the digit in the tens place becomes 3 + 1 = 4.
6. Combine the rounded tens place digit with the zeros: After rounding, the number becomes 240.
Therefore, 235 rounded to the nearest 10 is 240.
Which statement about the ordered pairs (3, −8) and (4, 4) is true for the equation 3x−y/4=11 ? incorrect answer: Neither ordered pair is a solution..(3, −8) is a solution to the equation but not (4, 4)
.
( 3, −8 ) is a solution to the equation but not ( 4, 4 ) .
Neither ordered pair is a solution.
Neither ordered pair is a solution.
Both ordered pairs are solutions.
Both ordered pairs are solutions.
(4, 4)
is a solution to the equation but not (3, −8) .
Answers
Answer:
both ordered pairs are solutions
Step-by-step explanation:
After m months, the height of a plant is 10+3m millimeters. How tall is the plant after eight months? Three years?
Answers
In 3 years it should be 108
explain how finding 7x20 is similar to finding 7x2,000. then find each product
Answers
7*2,0=14,0
7*2,000=14,000
Answer:
[tex]7\times 20=140[/tex]
[tex]7\times 2000=14000[/tex]
Step-by-step explanation:
To find : Explain how finding [tex]7\times 20[/tex] is similar to finding [tex]7\times 2,000[/tex] then find both products ?
Solution :
First we find the product of [tex]7\times 20[/tex]
[tex]7\times 20=140[/tex] .....(1)
Now, to find the product of [tex]7\times 2,000[/tex]
We can re-write the product as,
[tex]7\times 2,000=7\times 20\times 100[/tex]
Using (1),
[tex]7\times 2,000=140\times 100[/tex]
[tex]7\times 2,000=14000[/tex]
It is similar as the difference is about the multiple of 10.
how do you find the power of 35,036 1/3
Answers
Final answer:
To find the power of 35,036 to the 1/3 exponent, you can use the formula (a^b)^c = a^(b*c). The cube root of 35,036 is approximately 32.41.
Explanation:
To find the power of 35,036 to the 1/3 exponent, you can use the formula (a^b)^c = a^(b*c). In this case, a = 35,036 and b*c = 1/3. So, the power of 35,036 to the 1/3 exponent is 35,036^(1/3).
Now, to evaluate this expression, you can find the cube root of 35,036 using a calculator. The cube root of 35,036 is approximately 32.41. Therefore, the power of 35,036 to the 1/3 exponent is approximately 32.41.
What is the best estimate for the following expression: 6.79 - (-3.2)?
10
9
4
1
Answers
6.79 + 3.2
9.99
10
Your Answer Is A. 10
Which equation is equivalent to 2/3x - 5/6 = -5/12x + 1/4 ?
A. -5/6 = 1/4 X +1/4
B. 2/3 X = -5/12 X -7/12
C. 1/4 X-5/6 = 1/4
D. 2/3 X -13/12 = -5/12 x
Answers
2/3x - 5/6 - 1/4 = -5/12x
2/3x - 10/12 - 3/12 = -5/12x
2/3x - 13/12 = -5/12x <=====
Answer:
The answer is D
Step-by-step explanation:
2/3x-5/6=5/12x+1/4
x=1
the only option that x=1 is
2/3x-13/12=-5/12x
The school gym can hold no more than 650 people. The bleachers will seat 176 people. The PTA is setting up 25 rows of chairs for their meeting. At most, how many chairs can be in each row? A) 18 B) 19 C) 26 D) 27
Answers
Answer A (18
Step-by-step explanation:
Solve the equation for the red variable.
Answers
h = ____________
1/2(b1 + b2
21 and 61 which is composite and which is prime
Answers
61 is a prime, because it can only be multiplied by 1 to get 61
hope this helps
Carly sold 18 rolls of wrapping paper. That is 2 times as many rolls as Jasmine sold, How many rolls of wrapping paper did they sell all together?
Answers
Jasmine sold half of 18 because Carly sold 2 times as many rolls as Jasmine did.
So therefore Jasmine sold 9 rolls.
All together, this would be 18 + 9 = 27 rolls.
They sold 27 rolls all together.
In this exercise we want to know how many rolls were sold by two people, so we have to:
27 rolls
To start the calculations we have to organize the information given in the text as:
Carly sold 18 rolls. Jasmine sold 9 rolls.So now solving this problem we have:
[tex]TOTAL: 18 + 9 = 27 rolls[/tex]
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A student worked 46 hr during a week one summer the student earned $4.90 per hour for the first 40 hr and $7.35 per hour for overtime how much did the student earn during the week?
Answers
4.9(40)=$196
Then you multiply 7.35 and the number of hours worked overtime. To find the number of hours worked overtime you would subtract 40 from 46.
46-40=6
Now you multiply again.
7.35(6)=$44.10
Then you add the two amounts made together.
196+44.10=$240.10
The student makes $240.10.
Answer:
240.10 dollars
Riley worked 5 hours on Monday, 3 hours on Tuesday, and 2 hours on Wednesday. He rounded the hours to 5, 3, and 2 before adding them together to get 10 hours. Did he make a high or low estimate?
Answers
Answer:
It is low... not high :)
At the beginning of the year, Jerome had a balance of $0 in his bank account. He later deposited $120 into the account and then withdrew $85 from it.
Which number sentence correctly compares the absolute values of the changes in Jerome’s bank balance?
A. |-$85| < |$120|
B. |-$85| < |-$120|
C. |$85| > |-$120|
D. |$0| > |$120|
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Inequalities help us to compare two unequal expressions. The correct option is A.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
At the beginning of the year, Jerome had a balance of $0 in his bank account. He later deposited $120 into the account and then withdrew $85 from it.
A value when substituted in the mode, then irrespective of its a positive value or a negative value, the output will be always positive, therefore, the output will be always positive.
Hence, the number sentence correctly compares the absolute values of the changes in Jerome’s bank balance is |-$85| < |$120|.
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Solve for s. 23s+56s=21 Enter the answer, as a whole number or as a fraction in simplest form, in the box.
Answers
79s=21
/79 /79
s=0.265823
23s+56s=21, 23s+56s=79s=21 answer: s=-58
The difference between -7/9 and 4/9 is
Answers
-10/9 simplified to -1 1/9
Hello!
Your answer is
-1 2/9
Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?
(1.25, ∞)
(3.25, ∞)
(–∞, 1.25)
(–∞, 3.25)
Answers
The interval over which the function is increasing is:
(1.25,∞)
Step-by-step explanation:We are given a modulus function by:
[tex]y=|1.6x-2|-3.2[/tex]
From the graph of the function we see that the function is first decreasing in the interval (-∞,1.25) and then it increases continuously in the interval (1.25,∞) and goes to infinity.
Hence, the answer is:
(1.25, ∞)
Answer:
A. (1.25, ∞)
Step-by-step explanation:
A tomato plant grew an average of 0.06 m per day. How many days did it take for the plant to grow a total of 0.96 m. Again, I'm super sorry
Answers
When the dimensions of a cube are reduced by 4 inches on each side, the surface area of the new cube is 864 square inches. What where the dimensions of the original cube?
Answers
Answer:
The dimensions of the original cube are 16 in x 16 in x 16 in
Step-by-step explanation:
Let
x ----> the length side of the original cube
The surface area of the cube is equal to
[tex]SA=6b^2[/tex]
where
b is the length side of the cube
we know that
The dimensions of a cube are reduced by 4 inches on each side and the surface area of the new cube is 864 square inches
so
The length side of the new cube is
[tex]b=(x-4)\ in[/tex]
substitute in the formula of surface area
[tex]SA=6(x-4)^2[/tex]
[tex]SA=864\ in^2[/tex]
so
[tex]6(x-4)^2=864[/tex]
Simplify
[tex](x-4)^2=144[/tex]
take square root both sides
[tex](x-4)=(+/-)12[/tex]
[tex]x=4(+/-)12[/tex]
[tex]x=4(+)12=16\ in[/tex]
[tex]x=4(-)12=-8\ in[/tex] ----> the length side cannot be a negative number
therefore
The dimensions of the original cube are 16 in x 16 in x 16 in
To find the dimensions of the original cube, set up an equation using the surface area of the new cube and solve for the original side length.
Explanation:To find the dimensions of the original cube, we need to work backwards.
First, let's find the surface area of the original cube. If we reduce each side of the cube by 4 inches, the new side length would be 'x-4'. The surface area of the new cube is given as 864 square inches. So we have the equation: (x-4)^2 = 864 Solving this equation, we find that the side length of the original cube is 22 inches.
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the ratio of boys to girls in a class is 5:4 there are 36 students in the class how many students are girls
Answers
5 + 4 = 9
Now we need to know the value of each part
36 / 9 = 4
The girls has total of 4 parts, therefore we can just multiply the number of parts by the amount in each part
4 x 4 = 16
So there r 16 girls in the class
Final answer:
To find the number of girls in the class, you calculate the value of each part of the ratio by dividing the total number of students by the sum of the ratio parts, and then multiply the result by the number of parts for girls, which gives us 16 girls.
Explanation:
The question involves finding the number of girls in a class where there is a given ratio of boys to girls and a total number of students. In this case, the ratio of boys to girls is 5:4, and there are 36 students in the class. To solve for the number of girls, we can use the concept of ratios. First, combine the parts of the ratio to find the total parts in the ratio, which is 5 + 4 = 9 parts. Each part is then equal to the total number of students divided by the total parts, which is 36 students \/ 9 parts = 4 students per part. Since the ratio of boys to girls is 5:4, we know that girls constitute 4 parts of the total. Thus, the number of girls can be calculated by multiplying 4 (the number of parts for girls) by 4 students per part, resulting in 16 girls in the class.
Simon has 12 CDs. He burns 3 copies of each. How many CDs did Simon make?
Answers
HELP ME PLEASE!! MATHEMATICS
Answers
Your sports drink bottle is 5/6 full. After practice, the bottle is 3/8 full. Write the difference of the amounts after practice and before practice. Write your answer as a fraction in simplest form.
Answers
Answer:
its -11/24
Step-by-step explanation:
what is the measure of <rst
Answers
answer
B. 81
The measure of the angle ∠RST will be 81°. Then the correct option is B.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The central angle is double the angle at the periphery that was subtended by the same chords.
The measure of the central angle of the sector of the circle is 162°.
Then the measure of the angle ∠RST is half of the central angle. Then we have
∠RST = 162° / 2
∠RST = 81°
The measure of the angle ∠RST will be 81°. Then the correct option is B.
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Hiiiii pleaseeeee helppppp understand how to do this I want to understand.
Answers
The value given is 5 3/7.
3/7 = 0.428571
5 + 0.428571 = 5.428571.
A bar line is placed upon the '.428571' to show that it is a repeating decimal number.