PRESLEY
You are curious about the amount of coffee that the giant fountain cup could actually hold.
The dimensions of the fountain cup are as follows:
• Height is 8 feet.
• Diameter of the top is 6 feet.
• Diameter of the base is 4 feet.
Use this formula with height, h, radius of the base, roase, and radius of the top, rtop, to determine the volume
of the cup:
(πh).
V= -((rbase)+ (rbase) (stop) + (top)).
3
There are 7.5 gallons of liquid per cubic foot.
Enter the volume, in gallons, of the fountain cup.
Answers
The volume of the fountain cup in gallons is 4775.2 gallons
Volume of a frustumSince the fountain cup is in the shape of a frustum, its volume is given by
V = πh/3(r² + rr' + r'²) where
h = height of cup = 8 feet, r = radius of base of cup = 4 feet and r' = radius of top of cup = 6 feet.So, substituting the values of the variables into th equation, we have
V = πh/3(r² + rr' + r'²)
V = π × 8 ft/3[(4 ft)² + 4 ft × 6 ft + (6 ft)²]
V = π × 8 ft/3[16 ft² + 24 ft² + 36 ft²]
V = π × 8 ft/3 × (76 ft²)
V = 608π ft³/3
V = 1910.088 ft³/3
V = 636.69 ft³
V ≅ 636.7 ft³
Volume of the fountain cup in gallonsSince there are 7.5 gallons per cubic foot,
The volume of the fountain cup in gallons is V = 636.7 ft³ × 7.5 gallons/ft³ = 4775.2 gallons
So, the volume of the fountain cup in gallons is 4775.2 gallons
Learn more about volume of a frustum here:
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Related Questions
What are the new coordinates of Point R after a 90 degree clockwise rotation?
Answers
Step-by-step explanation:
P(-4,-1)======P'(-1,4)
Q(-4,-3)=====Q'(-3,4)
R(-2,3)======R'(3,2)
How long is 10% of a 24-hour day?
Answers
2.4 hours
Ten percent is ten per every hundred, that is ten percent is Thus ten percent of 24 hours is 0.10 \times 24 = 2.4 hours.
Answer:
2.4 hours
Step-by-step explanation:
24÷10=2.4
Find the distance between the points (-5,-3) and (0,9). Round your answer to one decimal place, if necessary.
Answers
√ 5^2+(9+3)^2. Remove the 0 since 5+0=5
√25+12^2. Evaluate
√ 25+134. Then just add
√ 169. Evaluate
13 is the answer
in a school of 330 students, 85 of them are in a drama club, 200 of them are in a sports team and 60 of them do both
find the probability that the student isn't in a sports or drama club
Answers
Answer:
105/330 = 21/66 = 7/22
7/22 is the answer I think
Step-by-step explanation:
n(U) = 330
n(A) = 85
n(B) = 200
n(A n B) = 60
Now,
n(A U B) = n(A) + n(B) - n(A n B)
or, n(A U B) = 85 + 200 - 60
or, n(A U B) = 285 - 60 = 225
Now,
n(A U B) compliment = n(U) - n(A U B)
n(A U B) compliment = 330 - 225
so, n(A U B) compliment = 105
Now,
probability = 105/330
. In Problem 2, how many lateral faces would there be if the base had
two sides of length 3 tnches and four sides of length 2 inches? Explain.
Answers
The number of lateral faces for a hexagonal prism or pyramid is 6.
What is a prism?A prism is a three dimensional figure consisting of pair of opposite bases and lateral faces which are parallelogram.
Given that the base off the prism has two sides of length 3 inches and four sides of length 2 inches. Hence the base is hexagonal. The lateral faces would be 6.
The number of lateral faces for a hexagonal prism or pyramid is 6.
Find out more on prism at: https://brainly.com/question/23963432
Sarah fills her 13-gallon gas tank at Megamart for $45.50. Motoplex is selling gas for $3.56 per gallon. Which has a higher unit price for a gallon of gas?
Answers
Answer: Motoplex
Step-by-step explanation:
The question states that Sarah fills her tank with 13 gallons at Megamart for $45.50. What I did was, I divided $45.50 by 13 to see how much 1 gallon would cost $3.50. Motoplex sells gas for $3.56. As you can see, if you pay $45.50 you will be saving $0.06 on gas
Write 9/20 as a decimal number
Answers
Answer: 0.45
........................
Why?
Because it’s 9/20 as a decimal number
Hope this helped!!!
Solve this system of equations by graphing. First graph the equations, and then type the solution. y=3x–2 y= – x+6 Click to select points on the graph. The solution is , .
Answers
Answer:
(2 , 4)
Step-by-step explanation:
set 3x-2 = -x + 6
4x = 8
x = 2
3(2) - 2 = 4
Which number does point A represent?
А
-3
-2
to
2
Loi
0 -3.5
3
y-2.5
0 2.5
03.5
Answers
Answer:
A represents -2.5.......
Answer:
-2.5
Step-by-step explanation:
<------3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3 ---->
When it's negative on the number line the value of a number gets smaller. When it's positive the value gets bigger.
I hope this helps!
Please just help. I’m stuck on math! Determining spinner probability Lol BUT please help! If you know how to do this
Answers
1. 2
2. 2
3. 4
4. 3 and 1
5. C
6. B
7. C and D
8. 3
9. 1 and 4
10. C
11. 2
12. D
You're Welcome✌! Brainliest would mean a lot.
Which decimal is equivalent to 41/100?
Answers
Answer:
I believe its 0.41
Step-by-step explanation:
not 100% sure
hope this helps and is the correct answer : )
Select the correct answer.
Function f is an increasing exponential function that is negative on the interval (-∞, 2) and positive on the interval (2, ∞). Which could be the graph of function f?
Answers
Answer:
A.
Step-by-step explanation:
The interval values given are the values of x.
We see that on Graph A, to the left of x = 2 the graph is below the x-axis ( negative values of f) and to the right the values of f are above the x-axis (positive f).
Answer:
A :)
Step-by-step explanation:
I just tokk the test!
Chrissy has some ribbon in her craft room. She has 3/8 yards of purple ribbon and 1 yard of green ribbon.
Chrissy has a total of 3 yards of ribbon.
How many yards of Chrissy's ribbon are neither purple nor green?
Answers
The number of Chrissy's ribbon which are neither purple nor green is 1 5/8 yards
How to calculate Chrissy's ribbon which are neither purple nor green?Purple ribbon = 3/8 yardsGreen ribbon = 1 yardTotal yards of ribbon = 3 yardsRibbon which is neither purple nor green = Total - (purple + green)
= 3 - (3/8 + 1)
= 3 - (1 3/8)
= 3 - 11/8
= (24-11) / 8
= 13/8
= 1 5/8 yards.
Learn more about fraction:
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One bag of alice's trail mix contains 40 grams of almonds and 30 grams of raisins.
0
almonds
raisins
(g)
0
complete the double number line to show the other values of almonds and raisins.
choose 1 answer:
0 40
80 120 160
almonds
Answers
Answer:
A
Step-by-step explanation:
I guessed and it was right.
Answer:
B
Step-by-step explanation:
Factor completely 4xy−24y−x+6
Answers
(4xy-24y)(-x+6)
4y(x-6) -1(x-6)
(4y-1)(x-6) is the factored form
10k^10/8k^4 simplify ???
help!!!
Answers
If you have further questions please feel free to ask!
3) 18 mm
4mm
4) 11 in
19 in
5) 5 mi
11 m
Answers
Answer:
3= perimeter=44 area=73
4= perimeter=60 area=209
5= perimeter=32 area=55
Step-by-step explanation:
18x4=72
18+18+4+4=44
11+11+19+19=60
11x19=209
5x11=55
5+5+11+11=32
How do I find the area of the shaded and none shaded regions?
Answers
Answer:
96 for both
Step-by-step explanation:
You can see that each region is equal because it is half. 8*12=96. (96/2)*2= Shaded region. 96
So that means the unshaded region is also 96.
Answer:
Find the area of the whole shape, then find the area of the shaded area (which is 2 triangles *).
after that, just minus the area of the shaded areas from the area of the whole shape...
Total Area = Lenght x Width... (16 x 12)
Area of triangle 1 = 1/2 x Base x Height.... (1/2 x 12 x 8)
Area of triangle 2 = 1/2 x Base x Height.... (1/2 x 12 x 8)
Area of Shaded Region = A of T1 + A of T2
Area of Non-Shaded Region = Total Area - Area of of Shaded Areas
Step-by-step explanation:
Thank you for your help please help thanks
Answers
Answer: 147m²
Step-by-step explanation:
Good afternoon, please help me with this question and if u get it correct ill give u the brainlest
Answers
Answer:
3/4
Step-by-step explanation:
In total there are 8 cobblers and 6 out of those 8 are apple cobblers so the fraction would be 6/8 but in simplest form its 3/4.
3) A rectangular piece of land measures 780 m by 550 m.
Work out the area of the land in:
a square metres
b hectares.
Answers
A = L x W
a. A = 780 x 550
=429000 m2
b. If 10000m2 = 1 ha
Then 429000 = 429000/10000
= 42.9 ha
If f(x) = x2 – 2, then which of the following is the value of f(3)
(1) -11
(3) -8
(2) 7
(4) 4
Answers
Answer: 7
Step-by-step explanation:
This means we substitute x=3 into f(x).
f(3) = 3^2 - 2 = 7.
Math homework pls help!!
Answers
A local candy shop sells boxes of chocolate for $3.75 each. If a customer purchases six or more boxes, the cost is only $3.25 per box, plus the customer has an additional $5 fee per order. If C(x) represents the total cost and x represents the number of boxes, which of the following functions best models this scenario?
Answers
The piecewise function that models the scenario is:
c(x) = $3.75*x + $5 if x < 6
c(x) = $3.25*x + $5 if x ≥ 6.
How to write a piecewise function?
A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.
The function in this case, if we define x as the number of boxes bought, is:
c(x) = $3.75*x + $5 if x < 6c(x) = $3.25*x + $5 if x ≥ 6.Where the cost per box changes for x equal or larger than 6.
If you want to learn more about piecewise functions, you can read:
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Hello, the point (-2,k) lies on the line. Determine the value of k. please answer this. ty
Answers
Answer:
0
Step-by-step explanation:
This problem is impossible if the x value is -2. However, if the x value is 2, find where the line meets x=2 and record the y value.
I’m stuck, HELP
3(6) + 4(2)^3 - 5
Answers
Answer:
45
Step-by-step explanation:
Lets split the problem then add/subtract at the end
3 x 6 = 18
Due to Order of operations we do 2^3 first then multipy by 4
so 2^3 = 8 Then we do 8 x 4 = 32
Now we add/subtract
18 + 32 - 5 = 45
45 is the answer
Answer:
45
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtration
[tex]3(6) + 4(2)^3 - 5 < ==multiply\ the\ exponents\ first\\\\18+4(8)-5 < ==multiply\ first\\\\18+32-5 < ==addition\ before\ subtraction\\\\50-5 < == subtract\\\\45 < == final\ answer[/tex]
Hope this helps!
the temperature is currently 0°C and
has been falling at a constant rate of 3°C per hour.
If it continues fall at this rate, what will the temperature be:
• in 2 hours?
Answers
Answer:-6°
Step-by-step explanation:
-3° the first hour -6° the next
4x — 3 = 6х - 7
i need it now
Answers
Answer:
x = 2
Step-by-step explanation
4x - 3 = 6x - 7
+7 +7 Adding seven so we can isolate on the Xs
4x + 4 = 6x
-4x -4x Once again, trying to isolate the X
4 = 2x
/2x Divide by 2
2 = x
PLS HELP ME I WILL MARK THE BRAINLIEST
Answers
Answer:
a. 314.2 in²
b. 36 m²
c. 60 m²
Step-by-step explanation:
The areas of these plane figures can be found by substituting the given dimensions into the area formula.
a.The area of a circle can be found from its diameter to be ...
A = (π/4)d²
A = (π/4)(20 in)² = 100π in² ≈ 314.2 in²
__
b.The area of a parallelogram can be found as ...
A = bh
A = (9 m)(4 m) = 36 m²
__
c.The area of a triangle can be found from ...
A = 1/2bh
A = 1/2(15 m)(8 m) = 60 m²
_____
Additional comment
A triangle with sides 17 and 15 and height 8 cannot be obtuse. It is a right triangle. (Those side lengths are a Pythagorean triple.)
Juwan and his friend Jamie are watching their favorite tech penny stocks in the stock market. The initial value of Jamie’s stock was $4.00, while Juwan’s stock’s initial value was $0.00. Because of some incredible turns in the market this morning, the stocks are now increasing in value. Every time Juwan’s stock rises by $4.00, Jamie’s stock increases by $3.00. If these stock gains remain constant throughout the day, perform the following:
a. Convert this scenario into two linear equations; show both the standard form and the slope-intercept form for both equations.
b. Explain how you decided to label the axes.
c. What are the realistic bounds for the domain and range of today’s stock gains? Explain your answer.
d. Does this scenario imply correlation or causation? Explain your answer.
Answers
Linear equations in slope intercept form for the given scenarios:
Juwan: y = 4x + 4
Jamie: y = 3x
Linear equations in standard form for the given scenarios:
Juwan: y - 4x = 4
Jamie: y - 3x = 0
Where, y = current stock value and x = number of times the stock value increased.
Domain: Set of natural number.
Range: Real number greater than or equal to 0.
This scenario is an example of causation.
What is standard form of line?The standard form of a line is Ax + By = C, where A and B are not both zero.
In the given scenario, we take
y = the present stock value of Jamie and Juwan.
x = number of times the stock value increased.
where, y depends upon x.
Juwan: y - 4x = 4
Jamie: y - 3x = 0
What is slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).
Juwan: y = 4x + 4
Slope = 4
y - intercept = 4
Jamie: y = 3x
Slope = 3
y - intercept = 0
What is domain and range?The domain is the set of all the input values of a function and range is the possible output given by the function.
In this particular question, x is the number of times stock price increased. Thus, it can be 0, 1, 2, 3....set of natural number. y is the current stock price. The stock price was positive in the beginning and has been increasing since then, therefore y lies in the set of positive real number.
What is causation?Causation means that one variable causes another to change, which means one variable is dependent on the other. Here, the price of stock depends upon the number of times its value increased.
Learn more about causation here
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