Answer: 64π ft³
Step-by-step explanation: To find the volume of a cone, start with the formula for the volume of a cone which is shown below.
Here, notice that our cone has a radius of 4 feet and a height of 12 feet so plugging into the formula, we have
Start by simplifying the exponent and moving π to the end.
So we have .
Next, notice that the 3 in 1/3 and 12 cross cancel to 1 and 4.
Now multiplying, is 64 ft².
So we have 64π ft³. This will be your answer
So the volume of the cone is 64π ft³.
Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the volume py plugging in 3.14 for π.
So we have which is equal to 200.96 ft³.
So the volume of the cone is approximately equal to 200.96 ft³.
Answer:
5
Step-by-step explanation:
Answer:
1.) From the information given, they should charge $1.25 per cup to maximize their income
2.) Function y = -1.25x + 200
3.) (200, 200) and (180, 225)
Step-by-step explanation:
Let assume that they sold an average of 200 cups per day when they charged $1.00 per cup. Then they will realise $1.00 × 200 = $200 per day
If they increase the price by $ 0.25, they sold 20 fewer cups. That is, they will realise $1.25 × 180 = $225
Increase in profit = 225 - 200 = $25
From the information given above, they should charge $1.25 per cup to maximize their income
If income = y and number of cup = x
Slope = 25/-20 = - 1.25
Function y = -1.25x + 200
The plot point are:
(200, 200) and (180, 225)
23 cm3
B.
46 cm3
C.
192.5 cm3
D.
385 cm3
A.
convenience
B.
simple random
C.
stratified random
D.
systematic
The sampling strategy the mayor is using is D. Systematic sampling.
Systematic sampling involves selecting every nth element from a list or population to create a sample. In this case, the mayor is selecting every fifth name from the list of town citizens.
It is a structured and ordered approach to sampling that ensures randomness and avoids potential biases that could be present in convenience sampling. Option D
Learn more about Systematic sampling at brainly.com/question/28505229
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1 S = {−2, −1, 0, 1, 2}
2 S = {0, 0.5, 1, 1.5}
3 S = {0}
4 S = {1, 2, 3, 4}
Answer: 1 S = {−2, −1, 0, 1, 2}
Step-by-step explanation:
Integers are whole numbers that could be positive or negative .
This means that
R = { ... -3 ,-2 , -1 , 0 , 1 , 2 , 3 , 4 , ...}
S ⊆ R means that all elements of S is also an element in R , therefore :
S = { -2, -1 ,0, 1 , 2 ...}