A class is selling granola bars for a fundraiser. They earn $.075 for every granola bar sold. They have ordered 300 granola bars for the sale. The function P(b) = .75b represents the profit (P) the class earns for each bar (b) they sell. Find a reasonable domain and range for this scenario.
Answers
As the object is granola bars hence it may start from 0 and it ends at 300
Hence
Domain:-
\(\\ \sf{:}\dashrightarrow 0\leqslant x\leqslant 300\)
And
\(\\ \sf{:}\dashrightarrow 0.75(300)=225\)
Hence
Range:-
\(\\ \sf{:}\dashrightarrow 0\leqslant y\leqslant 225\)
Related Questions
Find the value or values of c that satisfy the equation f(b) - f(a) = f'(c) in the conclusion of the Mean Value Theorem for the function and interval. f(x) = x + 112/x, [7,16]
a. -4√7 , 4√7
b. 4√7
c. 7, 16
e. 0, 4√7
Answers
The correct answer is a. -4√7, 4√7, as these are the values of c that satisfy the equation f(b) - f(a) = f'(c) in the conclusion of the Mean Value Theorem for the given function and interval.
To find the value or values of c that satisfy the equation f(b) - f(a) = f'(c) in the conclusion of the Mean Value Theorem for the function f(x) = x + 112/x on the interval [7, 16], follow these steps:
1. Find f(a) and f(b):
f(a) = f(7) = 7 + 112/7 = 7 + 16 = 23
f(b) = f(16) = 16 + 112/16 = 16 + 7 = 23
2. Calculate f(b) - f(a):
f(b) - f(a) = 23 - 23 = 0
3. Find the derivative f'(x) of the function f(x) = x + 112/x:
f'(x) = 1 - 112/x^2
4. Set f'(c) equal to the value of f(b) - f(a), which is 0, and solve for c:
f'(c) = 0
1 - 112/c^2 = 0
112/c^2 = 1
c^2 = 112
c = ±√112
c = ±4√7
The correct answer is a. -4√7, 4√7, as these are the values of c that satisfy the equation f(b) - f(a) = f'(c) in the conclusion of the Mean Value Theorem for the given function and interval.
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Can someone help? Also need to show work
Answers
The measure of w in the adjacent angle is 30 degrees.
How to find the adjacent angles?The two angles are said to be adjacent angles when they share the common vertex and side. In other words, adjace3nt angles have common side and common vertex.
Therefore, let's find the measure of angle w as follows:
Hence, the sum of angle w and angle 50 degrees is equals to 80 degrees.
Therefore,
50 + w = 80
subtract 50 from both sides of the equation
50 - 50 + w = 80 - 50
w = 30 degrees
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Patricia deposited $612.40 in a savings account that earns 3.2% simple interest. What is Patricia's account balance after thirteen years?
Answers
Answer:
Patricia's account balance after thirteen years is $867.15.
Step-by-step explanation:
It is given that,
Principal on deposited amount is $612.40
Rate is 3.2%
We need to find Patricia's account balance after thirteen years, t = 13 years
This problem is based on the concept of simple interest. Interest is given by :
\(I=PRt\\\\I=612.4\times \dfrac{3.2}{100}\times 13\\\\I=\$254.75\)
Net amount = $612.40 + $254.75=$867.15
the body of a person who weighs 50 kg mg contains round 2 * 10/2 grams of sodium chloride how much sodium chloride is contained in the bodies of 1.8 * 10/3 people who each way 50kg represent the answer in scientific notation
Answers
We will use the ratio method to solve the question
∵ 50 kg contains 2 x 10^2 grams of sodium chloride
∵ We need to find the amount of sodium chloride in 1.8 x 10^3 people
who weigh 50 kg
At first, we must find the weight of 1.8 x 10^3 people
\(\because1.8\times10^3\times50=90\times10^3=9\times10^4\operatorname{kg}\)Now we will use the ratio method
→ kg: gm
→ 50. : 2 x 10^2
→ 9 x 10^4 : m
→ By using cross multiplication
\(\begin{gathered} 50\times m=9\times10^4\times2\times10^2 \\ 50m=18\times10^{4+2} \\ 50m=18\times10^6 \end{gathered}\)Divide both sides by 50 to find m
\(\begin{gathered} \frac{50m}{50}=\frac{180}{50}\times10^5 \\ m=3.6\times10^5 \end{gathered}\)The answer is A
find the coordinates of the point on the curve y=7-3x-2x² where the gradient is 5
Answers
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
\(y=7-3x-2x^2\implies \cfrac{dy}{dx}=-3-4x\implies \stackrel{\textit{setting the derivative to 5}}{5=-3-4x} \\\\\\ 8=-4x\implies \cfrac{8}{-4}=x\implies \boxed{-2=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{when x = -2, what's "y"?}}{y=-7-3(-2)-2(-2)^2}\implies y=-7+6-8\implies \boxed{y=-9} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (-2~~,~~-9)~\hfill\)
Write 125 as a power using the number 5 as the base ????????????????
Answers
Answer:
5^3
Step-by-step explanation:
That was really easy
Brainliest PLEASEE
Enter the correct number word to complete the conversion. 1 milliampere = one ? of an ampere
Answers
Answer:
One milliampere is equal to 0.001 ampere.
Step-by-step explanation:
Mili, refers to thousandth. (for example, millimeter or milliliter.)
Raina got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 8 cents per yard. If after that purchase there was $21.25 left on the card, how many yards of ribbon did Raina buy?
Answers
Raina bought 46 yards of ribbon with her prepaid debit card.
To find out how many yards of ribbon Raina bought, we'll need to use the given information about the price of ribbon and the remaining balance on her prepaid debit card.
1. First, we need to determine how much money Raina spent on the ribbon. Since her card had $25 initially and there was $21.25 left on it after her purchase, we can subtract the remaining balance from the initial amount:
$25 - $21.25 = $3.75
Raina spent $3.75 on the ribbon.
2. Next, we'll use the price per yard to figure out how many yards she bought. We know that the ribbon cost 8 cents per yard, so we can divide the total cost by the price per yard to find out the number of yards purchased:
$3.75 ÷ $0.08 = 46.875 yards
Since Raina can't buy a fraction of a yard, we'll round this number down to the nearest whole yard:
46.875 yards ≈ 46 yards
Raina bought 46 yards of ribbon with her prepaid debit card.
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Determine the period
Answers
Answer:
2 units
Step-by-step explanation:
From one crest (high point) to the next crest point is one period....
this covers 2 units on this graph
let a = {0,2,4,6,8,10}, b = {0,1,2,3,4,5,6}, and c = {4,5,6,7,8,9,10}. find a) a∩b∩c. b) a∪b∪c. c) (a∪b)∩c. d) (a∩b)∪c.
Answers
Answer:
answer below
Step-by-step explanation:
a) will be all of them
b)will be all of their unions, so the values they all have in common in this case 4, 6
c)will be the values in common with a and b and all of c,
d)will be all of the values of a and b and all of the values in common with c
sorry I csnnot give an actual answer at the moment, but i can explain what each question wants from you in literal word form.
5. A standard-size volleyball court has an area of 1,800 square feet. The base of the court is 60 feet. What is the height of the court?
Answers
Answer:
30 feet
Step-by-step explanation:
The area is found by multiplying the base and the height. So to find the answer, you divide 1,800 by 60 to get 30.
what is the jaccard similarity between sets {a, b, c} and {b, c, d}?
Answers
The sets' Jaccard similarity is 2/4, or 0.5.
The size of the intersection of the sets divided by the size of the union of the sets can be used to determine the Jaccard similarity between the sets "a, b, c" and "b, c, d." The intersection of the sets in this instance is b, c, and the union of the sets is a, b, c, and d.
As a result, the sets' Jaccard similarity is 2/4 or 0.5.
A measure of similarity between two sets that considers the size of the intersection and union of the sets is called the Jaccard similarity.By dividing the size of the intersection of the sets by the size of the union of the sets, it is possible to determine the Jaccard similarity between the sets "a, b, c" and "b, c, d" in this instance. The sets' intersection is b, c, and their union is a, b, c, d, giving them a Jaccard similarity of 0.5, or 50%.
Between sets "a, b, c" and "b, c, d," there is a 50% Jaccard similarity. With 50% of their components being the same, this indicates a moderate degree of resemblance between the two sets. When measuring the similarity of sets, the Jaccard similarity is a valuable metric that may be used in a variety of contexts, including data mining,text analysis.
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In a class of 42 students, a medium slice of pizza with 8 slices is being shared if one slice is for one person what is the fraction of the class the pizza serves
Answers
Assume that police estimate that 23% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. They stop 20 cars during the first hour a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the fact that the mean of a geometric distribution is pi = 1/p and the variance is ohm^2 = p/q^2? b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?
Answers
The mean of the number of drivers expected not to be wearing seatbelts is approximately 4.35, the variance is approximately 15.62, and the standard deviation is approximately 3.95 and they expect to stop approximately 4.35 cars before finding a driver whose seatbelt is not buckled.
a. To find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts, we can model the situation using a geometric distribution.
Let's define a random variable X that represents the number of cars stopped until the first driver without a seatbelt is found. The probability of a driver not wearing a seatbelt is given as p = 0.23.
The mean (μ) of a geometric distribution is given by μ = 1/p.
μ = 1/0.23 ≈ 4.35
The variance (σ^2) of a geometric distribution is given by σ^2 = q/p^2, where q = 1 - p.
σ^2 = (0.77)/(0.23^2) ≈ 15.62
The standard deviation (σ) is the square root of the variance.
σ = √(15.62) ≈ 3.95
b. The expected number of cars they expect to stop before finding a driver whose seatbelt is not buckled is equal to the reciprocal of the probability of success (finding a driver without a seatbelt) in one trial. In this case, the probability of success is p = 0.23.
Expected number of cars = 1/p = 1/0.23 ≈ 4.35
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How many significant figures would this calculation have if it were completed: \[ (9.04-8.23+21.954+81.0) \times 3.1416 \]
A) 3 B)4 C)5 D)6
Answers
The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.
To determine the number of significant figures in a calculation, we follow the rules for significant figures:
1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.
Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).
Now, multiplying this result by \(3.1416\) gives \(329.5719744\).
The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.
According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.
Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.
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How many five-digit palindromes are there? (A palindrome is a number that reads the same forwards and backwards, such as 70107.)
Answers
Answer:
900
Step-by-step explanation:
Since the first three numbers are the only ones that matter there are 9*10*10 options
Compare each side of the equation 65 ÷ 5 = 87 ÷ 3 to determine if it is true or false.
Answers
\(65 \div 5 = 87 \div 3 \\ 15 = 29\)
So, False
Answer:
The equation is false
Step-by-step explanation:
65 ÷5 = 13
87 ÷ 3 = 29
13 and 29 are not equal thus making the equation false.
(04.03 MC)
Find the area of the polygon.
A 41 square units
B 44 square units
C 52 square units
D 56 square units
Answers
The area of given polygon is 44 square units from the given graph.
What is Polygon ?
A polygon is a 2-dimensional geometric shape that is formed by joining a finite number of straight line segments to form a closed shape.
The area of each triangle can be found by using the formula:
Area = (base * height)/2
Triangle 1: Base = 4 units, Height = 5 units
Area of Triangle 1 = (4*5)/2 = 10 square units
Triangle 2: Base = 8 units, Height = 3 units
Area of Triangle 2 = (8*3)/2 = 12 square units
The area of the trapezoid can be found by using the formula:
Area = (Sum of parallel sides * Height)/2
Trapezoid: Height = 4 units, Parallel side 1 = 3 units, Parallel side 2 = 7 units
Area of Trapezoid = ((3+7)*4)/2 = 20 square units
Therefore, the total area of the polygon is:
Total Area = Area of Triangle 1 + Area of Triangle 2 + Area of Trapezoid
Total Area = 10 + 14 + 20 = 44 square units
Hence, The area of given polygon is 44 square units from the given graph.
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--- Ensures items requested match item numbers on DA Form 3151-R
--- Loads and secures the ammunition
--- Placards the vehicle
Which of the following tasks does the unit personnel perform when receiving ammunition?
Answers
When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.
The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.
The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.
The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.
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regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be.
Answers
The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.
Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.
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Mr. Johnson drove 4 1/3 miles on Monday and 5 1/2 miles on Tuesday, How many miles did Mr. Johnson drive altogether?
Answers
Answer:
9 \(\frac{5}{6}\)
Step-by-step explanation:
The following are the weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230.
find the 80th percentile.
Answers
The 80th percentile is 125.37.
It is required to find the solution.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
The weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230.
We have to find the 80th percentile first we have to find the mean of seven people.
Mean=100+ 115+135+140+ 180+197+ 230/7
Mean=156.71
100 percent=156.71
80 percent=156.71*80/100
80 percent=125.37.
Therefore, the 80th percentile is 125.37.
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What are 2 fractions and 2 decimals that are between 2 and 7?
Answers
Answer:
fractions: 3 and 3 fourths
6 and one half
decimals: 5.6, 3.2
Step-by-step explanation:
dilations pls help i cant solve
Answers
Answer:
D' (6, - 4 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin then multiply the coordinates of D by 2, that is
D(3, - 2 ) → D'(2 × 3, 2 × - 2 ) → D'(6, - 4 )
help thank you xx. I now have to write whatever to get to 20 words so don’t mind this part thanks.
Answers
Answer:
Step-by-step explanation:
Point D is exactly half way between 0 and 0.2, and so is 0.1.
Point A has already marked with a value: Point A is 0.2.
Regarding point B: Since each scale division is 0.1, Point B is 0.1 unit past 0.4 and thus is 0.5.
Point C has already been marked with a value: 0.6
please help me on number 4.
Answers
The awnser is C.
A frame contains 4 pounds of gold. suppose gold is worth $1,277 per ounce. how much would the gold in the frame be worth?
Answers
Answer:
$81,728
Step-by-step explanation:
For reference: 1 pound = 16 ounces.
Therefore, 4 pounds of gold must be 16 * 4 = 64 ounces.
Since each ounce is $1,277, we must have the total cost of the gold to be $1,277 * 64 = $81,728.
The key word here is "per", which means to multiply.
Answer:Answer:5,108
Step-by-step explanation:
What is the simplified form of StartRoot 10,000 x Superscript 64 Baseline EndRoot ?
5000x Superscript 32
5000x Superscript 8
100x Superscript 8
100x Superscript 32
Answers
Answer:
5000x^8
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
SHOW WORK. Let K(x) = 4x² + 3x. Find the difference quotient for k(3+h)-k(3) h
Answers
To find the difference quotient for the function K(x) = 4x² + 3x, we need to evaluate the expression K(3+h) - K(3) and then divide it by h.
First, let's find K(3+h):
K(3+h) = 4(3+h)² + 3(3+h)
= 4(9 + 6h + h²) + 9 + 3h
= 36 + 24h + 4h² + 9 + 3h
= 4h² + 27h + 45
Next, let's find K(3):
K(3) = 4(3)² + 3(3)
= 4(9) + 9
= 36 + 9
= 45
Now, we can calculate the difference quotient:
=(K(3+h) - K(3)) / h
= (4h² + 27h + 45 - 45) / h
= (4h² + 27h) / h
= 4h + 27
Therefore, the difference quotient for K(3+h) - K(3) divided by h is 4h + 27.
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200 = 1000 - n/4. What is the value of n? Show working out, please.
Answers
Answer:
n = 3200
Step-by-step explanation:
200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )
- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )
- 3200 = - n ( multiply both sides by - 1 )
n = 3200