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
The Franklins inherited $3,500, which they want to invest for their child's future college expenses. They use the following formula to calculate the value of their investment over time, where
A = value of the investment after years, P = principal invested, r = annual interest rate, and n = number of times compounded per year.
A = P(1 +
you
71
If they invest the inherited money at an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years?
Answer:
1443.75 i think
Step-by-step explanation:
Thus, Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.
The Franklins inherited $3,500, which they want to invest for their child's future college expenses. Using formula [tex]A = p(1+r/n)^{nt}[/tex]
where A is the value of the investment after t years, P is the principal invested, r is the annual interest rate and n is the number of times compounded per year.
an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years is to be determined.
Statistic is the study of mathematics which deal with relations between comprehensive data.
Using formula [tex]A = p(1+r/n)^{nt}[/tex]
[tex]A = 3500*(1+0.0825/12)^{12*5}\\A = 3500*(1+0.006)^{60}\\A = 3500*(1.006)^{60}\\A = 5011.25\\[/tex]
A ≈ 5011
Thus, Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.
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Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the cookies, how much sugar (s) did she have before she started baking cookies? Which equation would you use to solve for (s)?
Answer:
7 5/6
Step-by-step explanation:
1 1/2= 1 3/6
6 1/3= 6 2/6
1 3/6
+6 2/6
————-
7 5/6
what percent is 25 out of 72
Answer:
35%
Step-by-step explanation:
It’s 34.722222222222%, but if you round it up, it’s about 35%.
Help plz:)))I’ll mark u Brainliest
Answer:
The unknown measures 40
Step-by-step explanation:
Use the proportion that derives from the properties of parallel lines intersected by common transversals:
X/24 = 25/15 and solve for x
x = 25 * 24 / 15
x = 40
I need help ASAP have a picture
Translate each of the following English statements into logical expressions. The domain is the set of all real numbers. (a) There are two numbers whose ratio is less than 1. (b) The reciprocal of every positive number is also positive. (c) There are two numbers whose sum is equal to their product. (d) The ratio of every two positive numbers is also positive.
Step-by-step explanations:
Since the domain is a set of all real numbers, all the expression are with respect to real numbers.
a. 3 x,y : x/y < 1 ∧ y/x < 1
b. ∀x > 0, 1/x > 0
c. 3 x,y : x + y = xy
d. ∀x > 0 ∧ y > 0, x/y > 0 ∧ y/x > 0.
3 means "there exists"
∀ means "for every value of"
∧ means "and"
The sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be? Show your work.
Answer:
4, 1.6, .4
add them together
you get 6
6. Pleassss helppp!
VALERIE
Select all of the expressions that are equivalent to 4(2x + y + 2y).
8x+12y
6x + 7y
8x+y+2y
8x+4y+8y
31 tds airastorg/student/V996/Pages/TestShellaspx
Answer:
Step-by-step explanation:
First expand the expression so you know the coefficients of x and y.
4(2x+y+2y) = 4(2x+3y) = 8x+12y
8x+12y = 8x+12y
6x+7y ≠ 6x+12y
8x+y+2y = 8x + 3y ≠ 8x+12y
8x+4y+8y = 8x+12y = 8x+12y
The equivalent expression is 8x + 4y + 8y.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
4(2x + y + 2y)
This can be simplified as,
8x + 4y + 8y
Thus,
The equivalent expression is 8x + 4y + 8y.
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while shopping for clothes jacklyn spent $38 less than 2 times what Daniel spent. Jacklyn spent $10. Write and solve an equation to find out how much daniiel spent. Let x trepresent what daniel spent.
HELP A B OUT HELP A B OUT HELP A B OUT HELP A B OUT
The maroon team and the orange team played a game of football. The maroon team scored 20 points and the orange team scored 6 points. What is the ratio of points scored by the maroon team to points scored by the orange team?
Answer:
20/6 or 10/3
Step-by-step explanation:
Convert 6.3 m to millimeters
Hi. 6.3 meters to millimetres is 6300
Which ordered pair is NOT included in a graph of y=x+5?
the total for a restaurant bill is $95.20 if the bill is split among 8 friends equally, how much will each person pay
Answer:
11.90
Step-by-step explanation:
For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price.
p = −0.3x + 6 and p = 0.05x + 2.5
equilibrium quantity
units
equilibrium price $
9514 1404 393
Answer:
(x, p) = (10, 3)
Step-by-step explanation:
Equating the expressions for p, we have ...
-0.3x +6 = 0.05x +2.5
3.5 = 0.35x . . . . . add 0.3x-2.5
10 = x . . . . . . . . . . divide by 0.35
p = -0.3(10) +6 = 3
The equilibrium quantity is 10 units.
The equilibrium price is $3.
evaluate f(x)=x/x-5 when x=3
Answer:
Step-by-step explanation:
3/3-5=3/-2
PLEAE HELP I WILL GIVE BRAINLIST can someone please help with 4,5,6 and use the box method on a paper please I need this ( show work ) please!
y + 2x = -1
y = 1/2x + 4
Answer:
x = -1
y = 3
Step-by-step explanation:
y + 2x = -1
y = 1/2x + 4
(1/2x + 4) + 2x = -1
1/2x + 2x + 4 = -1
2 1/2x + 4 = -1
2 1/2x = -1 - 4
2 1/2x = -5
x = -5 / 2 1/2
x = -2
y + 2x = -1
y + 2(-2) = -1
y - 4 = -1
y = -1 + 4
y = 3
Function C gives the cost, in dollars, of buying n apples. What does this equation represent in this situation?
C(5)=4.50
help pls
Answer:
The cost of 5 apples.
Step-by-step explanation:
Typically the equation would be written as C(n) = 4.50
Since 5 is where 'n' should be, then that means the number of apples in the equation is five.
C(5) = 4.50
Means, that 5 apples cost $4.50
Estimate the sum to the nearest ten. 772 + 146 =
?
Answer:
920
Step-by-step explanation:
added up the original answer would be 918 but you have to round up to 920
Answer:
918.0
Step-by-step explanation:
WILL MARK BRAINLYIST
Answer:
D = 45 and C = 26
Step-by-step explanation:
The bigger triangle has a 90 degree corner add that to 64 and you will get 164 (all of the triangles angles have to add to 180) from 180 subtract 164 and you get 26 which is C's answer
For D just divide 90 by 2 (90/2)=45
Answer: The person up their is correct
D = 45 and C = 26
Step-by-step explanation:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.
https://magoosh.com/math/how-to-find-the-measure-of-an-angle/
:D that's where I got my information pls mark me brainlyist
Solve the inequality: -3x > 15
The value of x in given equality -3x > 15 is -5.
We have given that inequality,
-3x > 15
We have to find the value of x.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two
Divide both sides by -3.
−3x /−3 > 15 /−3
x<−5
Therefore the value of x is -5.
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What do you get when you simplify 12/8
Answer:
3/2
Step-by-step explanation:
You can divide both 12 and 8 by four. Dividing 12 by four gives you 3 and dividing 8 by 4 gives you 2. This makes the simplified fraction 3/2
:)
Question 5
How much food can this container hold? Express your
answer in terms of pi.
Can one of you guys pls help
Answer:
Puts the dots where the A,B,C,D dots are and move them 5 units to the right.
Example:
Original place
A=(2,5)
Moved 4 units to the right:
A'=(6,5)
Here are some tips:
Up= Y value goes up
Down= Y value goes down
Right= X value goes up
Left X value goes down
If a pound of coffee costs 12. How many ounces can be brought for 3.90
does anyone have the answer please I’m begging.
Answer:
B
Step-by-step explanation:
V = area of base * hight ; consider the base the triangle
V= (b*h of triangle /2 ) * h of figure
V= (6*8/2)*13 = 312 cm³
-9(8x — 8) = 8(-7 - 10x)
Answer:
×=1/3
Step-by-step explanation:
8x –3(5x–2)=7–10x
Distribute
8x - 15x +6 = 7-10x
Combine like terms
-7x + 6 = 7- 10x
Add 10x to each side
-7x +10x+ 6 = 7- 10x+10x
3x+6 = 7
Subtract 6 from each side
3x+6-6 =7-6
3x = 1
Divide each side by 3
3x/3 = 1/3
x = 1/3
A class of 50 students is divided into two groups. One group has 8 more students than the
other. How many students are in each group?
$76 nor week plus S16 for each sale
Answer:
Step-by-step explanation:
A self-serve frozen yogurt store sells servings up to 12 ounces. It charges $0.50 per ounce for a serving between 0 and 8 ounces, and $4 for any serving greater than 8 ounces and up to 12 ounces.
Answer:The answer is graph B.
Step-by-step explanation: It keeps going up at 0.50 because that is the price PER OUNCE for a serving between 0-8 ounces. The line on the graph is going straight at 4 because that is the price for ANY SERVING over 8 ounces/up to 12 ounces.
