Answer:
W = ∫ [−2/3 to 0] 66π (2−y)(1−y²) dy = 2332π/27
Step-by-step explanation:
Vertical cross-section of bowl is a semi-circle of radius 1, centered at (0,0)
x² + y² = 1 (for y ≤ 0)
Bottom of bowl is at y = −1
Top of bowl is at y = 0
When punch is 4 inches deep, this 1/3 ft above bottom of bowl:
y = −1+1/3 = −2/3
So we integrate from y = −2/3 to y = 0
Radius of cross section at height of y is = x = √(1−y²)
Area of cross section at height y is πr²= πx² = π(1−y²)
Since each person is to lift ladle 2 feet above the top of the bowl, then distance = 2−y
W = Σ (density of punch * distance * volume of punch)
W = ∫ [−2/3 to 0] 66 * (2−y) * πr² dy
W = ∫ [−2/3 to 0] 66π (2−y)(1−y²) dy = 2332π/27
11.Write the equations of linear and exponential functions that pass through the points (0,9) and (1,3)
9514 1404 393
Answer:
y = -6x +9
y = 9·(1/3)^x
Step-by-step explanation:
In each case, the y-intercept is 9.
Linear
The slope is rise/run = (3-9)/(1-0) = -6, so the equation is ...
y = mx + b . . . . . . . slope m, intercept b
y = -6x +9
Exponential
The ratio of value at x=1 to that at x=0 is 3/9 = 1/3. That is the "growth factor," so the equation is ...
y = 9·(1/3)^x
Timothy brought in brownies for his class on his birthday.
.
.
Each box has 15 brownies in it.
He handed out 1 boxes.
of the brownies had nuts.
Problem:
How many brownies had nuts?
Answer:
Incomplete problem - reword
Step-by-step explanation:
3 brownies had nuts.
What is a Fraction?In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.
As per the given data:
Brownies in each box = 15
Boxes handed out = 1 [tex]\frac45[/tex]
Brownies with nuts = (1/9) of the brownies
Boxes handed out = 1 [tex]\frac45[/tex] = (9/5) boxes
Total brownies handed out = (9/5) × 15 = 27 brownies
Total brownies with nuts = (1/9) of 27 = (27/9) = 3 brownies with nuts.
Hence, 3 brownies had nuts.
To learn more on Fraction, click:
brainly.com/question/29264210
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(The given question is incomplete, the complete question is given below)
Timothy brought in brownies for his class on his birthday. Each box has 15 brownies in it. He handed out 1 4/5 boxes. 1/9 of the brownies had nuts. How many brownies had nuts?
On her math exam, Alicia answered 25 questions correctly and 5 questions incorrectly. Which of the following represents the ratio of the total number of questions to incorrect answers?
Select the four correct choices below.
30:5
30/5
5 to 25
5/25
6:1
6/1
Answer: 30:5 & 6:1
Step-by-step explanation:
30/5 = 6
5/5 = 1
Corey invested $800 in a CD at a simple interest rate. After 24 months, his account was worth $1000.
How much interest did he earn?
What was his interest rate?
Answer:
made 25%
Step-by-step explanation:
HELP PLS IM CRYING I NEED IT PLSS ANSWER IT PLSSSSS
Answer:
C) 4k-24
A)10x+15x
Step-by-step explanation:
A model chair has been designed using a scale 1 inch : 5 inches. The height of the
model chair is 4 inches in length. What would be the actual height of the chair?
Answer:
20 Inches is the actual height
Step-by-step explanation:
Okay so it means 1 inch = 5 inches. There are 4 inches. 4 x 5 = 20.
Select all the expressions that are solutions to 5=2/3x. A. 5 2/3 B. 5 2/3 D. 15/2 E. 10/3
Answer:
C. 5 divided by 2/3
D. 15/2
E. 3/2 X 5
hope this helps
Step-by-step explanation:
how many times does 9 go into 12?
Answer:
one time.
Step-by-step explanation:
A group of 24 people need to take an elevator to the top floor. They will go in groups of eight. They are deciding who will take the elevator on its second trip. Find the number of possibilities.
Answer:there are 3 groups so yea
Step-by-step explanation:
18 times 3 is 24 so there will have to be 3 elevators
Please help I need by Tomorrow!
Answer:
[tex]f(a) = 5a + 1[/tex]
[tex]f(a + h) = 5a + 5h +1[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x + 1[/tex]
Solving (a): f(a)
Substitute a for x in [tex]f(x) = 5x + 1[/tex]
[tex]f(a) = 5a + 1[/tex]
Solving (b): f(a + h)
Substitute a + h for x in [tex]f(x) = 5x + 1[/tex]
[tex]f(a + h) = 5(a + h) +1[/tex]
Open bracket
[tex]f(a + h) = 5a + 5h +1[/tex]
Solving (c): [tex]\frac{f(a + h) - f(a)}{h}[/tex]
In (a):
[tex]f(a) = 5a + 1[/tex]
In (b):
[tex]f(a + h) = 5a + 5h +1[/tex]
So:
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - (5a+1)}{h}[/tex]
Open bracket
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - 5a-1}{h}[/tex]
Collect Like Terms
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a- 5a+5h+1 -1}{h}[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5h}{h}[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]
The population of Buhlerville is 92,000 in 2019. The population of the city was 94880 in 2021. What is the
expected population in 2022?
Answer:
96320
Step-by-step explanation:
The population of Buhlerville will be 96320
Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:
In 2013 the most expensive cocktail (made with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?
Round your answer to the nearest penny.
Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:
The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?
Round your answer to the nearest penny.
HERES THE CPI CHART FOR IT
Answer:
wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?
Round your answer to the nearest penny.
HERES THE CPI CHART FOR IT
Step-by-step explanation:
with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?
Round your answer to the nearest penny.
Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:
The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been
PLEASE HELP WILL GIVE BRAINLIEST
Segment AB has been dilated about point Q. What is the scale factor?
Identify the solution to the system of equations
4x-y=7
-12x+3y=-21
Answer:
Step-by-step explanation:
The equations are not independent. They represent the same graph.
There are an infinite number of solutions.
i need helppp could you help please pl,s pls pls pls pls pls plks pls pls pls pls pls pls
Answer:(-4,6)
Step-by-step explanation:
you go down four then over six and you find the letter F
Answer:
(6, -4)
Step-by-step explanation:
x axis is before the y axis
y = -2x + 2 y = 5x + 9
5 2/3 divided by 3/2
Answer:
(5 2/3)/(3/2)
17/2×2/3
17/3
or
5 2/3
Pls answer whoever answer right first will g Brainlyiest
Answer:
D the last one
Step-by-step explanation:
1,2,3,5
_ _ _ _
6,7,4,8
Which of the following is NOT the numerator
of a fraction listed above?
(A) 2
(B) 3
(C) 4
(D) 5
Pat collected 54 cans of food for a food drive. This is 6 times as many cans
as Anne collected. How many cans did Anne collect? Select the correct
solution method below, using x to represent the number of cans Anne
collected
Answer:
54/6= X
54/6= 9
54 divided by 6 equals X
X = 9
Consider the following sets of sample data:
A: $28,200, $34,300, $32,300, $20,800, $36,900, $20,600, $20,000, $29,600, $35,400, $20,200, $20,200, $38,100, $31,300, $38,600
B: 4.77, 3.46, 4.62, 3.30, 3.13, 3.01, 4.69,3.55, 3.57, 4.59, 3.65
Step 1 of 2: For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.
Answer:
25.3% and 17.6%
Step-by-step explanation:
Can someone please help me
I’m not good at math and I need to multiply this
135
x 62
An equation for a line is 3x + 3y = 18.
What are the slope and Y -intercept point?
Answer:
y = -1x + 6
slope ^ ^ y-intercept
Step-by-step explanation:
3x + 3y = 18
3y = -3x + 18
y = -1x + 6
hope this helps
Answer:
y int: 6 slope: -1
Step-by-step explanation:
Convert to y=mx+b format
3x + 3y - 18 = 0
3x - 18 = -3y
-1x + 6 = y
in mx+b format, m is the slope and b is the y-int:
m = -1
b = 6
HELP MEEEEEEENJEJAHAHAAUUA
The cook took out 54.8 grams of butter, she then found out that she took out 6.9 grams of butter more than she need. How much butter did she need?
If 2/3n = -6, then 1/3n =
Consider the function.
3
f(x) = -X + 12
4
What is the y-intercept of f'(x)?
-16
ООО
- 12
3
4
Answer:
A. -16
Step-by-step explanation:
Note that [tex]f^{-1}(x)[/tex] stands for the inverse of [tex]f(x)[/tex]. We can write the graph as [tex]y=\frac{3}{4}x+12[/tex]. Switching [tex]y[/tex] with [tex]x[/tex] and vice versa will now get us the inverse of the graph, so we see that the inverse is [tex]x=\frac{3}{4}y+12[/tex].
We are asked for the y-intercept, which is the point for which [tex]x=0[/tex]. Substituting that gives [tex]0=\frac{3}{4}y + 12[/tex] or [tex]\frac{3}{4}y = -12[/tex], so [tex]y=-12\cdot \frac{4}{3} = -16.[/tex] We are now done.
what is the answer I need it urgently
Factor 4x+16y using the gcf
Find the height of the triangle if the area is 36 m 2
Answer:
Area=1/2bh
Given area of 36m^2
1/2(x)(x-1)=36
Multiply both sides by 2 to remove deminator
(x)(x-1)=72
X^2-x=72
X^2-x-72=0 then factor
(x-9)(x+8)=0
X=9,-8 however since area must be positive, take the absolute value of 8
1/2(9m*8m)=36m^2