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ZanzabumX
1 month ago
10

A cardboard popcorn container is shaped like a cone that is 11 inches high and has a radius of 2.5 inches. What is the volume of

the container? Use 3.14 for pi. Round your answer to the nearest hundredth
Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
8 0
Vcone=(1/3)hpir^2
h=11
r=2.5
Vcone=(1/3)11pi2.5^2
Vcone=(11/3)pi6.25
Vcone=68.75/3*3.14
Vcone=71.95833
round
Vcone=71.96

vcone=71.95 in^3
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A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat
Inessa [12570]
To derive the function that characterizes the bee population:

1) Initially, there are 9,000 bees in the first year.

2) In the second year, a reduction of 5% occurs => 9,000 - 0.05 * 9,000 = 9,000 * (1 - 0.05) = 9,000 * 0.95

3) Each subsequent year sees a 5% decline => 9,000 * (0.95)^(number of years)

4) Let x represent years and f(x) signify the bee count, then: f(x) = 9,000 (0.95)^x.

Evaluation of the claims:

<span>1) The function f(x) = 9,000(1.05)x applies to the scenario.

FALSE: WE ESTABLISHED IT AS f(x) = 9,000 (0.95)^x

2) The function f(x) = 9,000(0.95)x applies to the scenario.

TRUE: THIS IS THE RESULT OF OUR PRIOR ANALYSIS.

3) After 2 years, the farmer projects approximately 8,120 bees will be left.

Calculating:

f(2) = 9,000 * (0.95)^2 = 9,000 * 0.9025 = 8,122

Thus, this statement is TRUE

4) After 4 years, the farmer can predict there will be roughly 1,800 bees left.

f(4) = 9,000 * (0.95)^4 = 9,000 * 0.81450625 = 7,330

This statement is therefore FALSE

5) The domain values contextual to this situation are restricted to whole numbers.

FALSE: DOMAIN VALUES INCLUDE ALL NON-NEGATIVE REAL NUMBERS. FOR INSTANCE, THE FUNCTION IS VALID AT X = 5.5

6) The range values pertinent to this situation are restricted to whole numbers.

TRUE: FRACTIONS OF BEES CANNOT EXIST.
</span>
3 0
2 months ago
Read 2 more answers
El área de una propiedad en metros cuadrados, mide 704/5. Se construye una casa que ocupa 5/6 del área total. La mitad del área
tester [12383]

Answer:

The remaining area available for construction is \frac{704}{60}\ m^{2}

Step-by-step analysis:

The inquiry in English reads

The total area of a property, measured in square meters, amounts to 704/5. A house is constructed occupying 5/6 of this area. Half of the leftover space is utilized for a terrace; thus, how much area remains for additional construction?

We know that

The total area is represented by the fraction 6/6

A house accounts for 5/6 of the entire area

Thus, the remaining area is (6/6)-(5/6)=1/6 of the overall area

If half of this leftover area is designated for a terrace

then

the terrace occupies (1/6)/2=1/12 of the total area

consequently,

The area remaining for construction is 1/12 of the total area

therefore

(\frac{1}{12})\frac{704}{5} =\frac{704}{60}\ m^{2}

8 0
2 months ago
What is the product of (–0.9)(–2.4)?
Svet_ta [12734]

Response:

−

0.9

 by

−

2.4

Detailed explanation:

the result is 2.16

4 0
1 month ago
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5) Linda picked a basket of apples. She gave half of the apples to a neighbor, then 10 apples to her mother, then half of the re
lawyer [12517]
Is she giving her mother 8 apples or 10 since I experienced this exact issue?
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1 month ago
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