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Eddi Din [679]
2 years ago
10

A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat

ion of bees seems to be decreasing steadily at a rate of 5% per year. If the number of bees in the population after x years is represented by f(x), which statements about the situation are true? Check all that apply. The function f(x) = 9,000(1.05)x represents the situation. The function f(x) = 9,000(0.95)x represents the situation. After 2 years, the farmer can estimate that there will be about 8,120 bees remaining. After 4 years, the farmer can estimate that there will be about 1,800 bees remaining. The domain values, in the context of the situation, are limited to whole numbers. The range values, in the context of the situation, are limited to whole numbers.
Mathematics
2 answers:
dusya [7]2 years ago
8 0

Answer:

Step-by-step explanation:

The function f(x) = 9,000(0.95)x represents the situation.

After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.

The range values, in the context of the situation, are limited to whole numbers.

marysya [2.9K]2 years ago
6 0
The answer to this question would be:
<span>The function f(x) = 9,000(0.95)x represents the situation.
After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
</span>
In this problem, there are 9,000 bees and the amount is decreased 5% each year. Decreased 5% would be same as become (100%-5%=)95% each year. Then the function should be like:
f(x)= 9,000 * 95%^ x= 9,000 * 0.95^x

If you put X=2 and X=4 the result would be: 
<span>f(2) = 9,000* (0.95)^2= 8122.5 (round up to tenth will be 8120)
</span>f(4) = 9,000* (0.95)^4= 7330.5
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Ava had $28.50 to spend at the farmer's market. After buying 3 pumpkins Ava, has $12 left. Which equation could you use to find
Alona [7]

Answer:

Step-by-step explanation:

Ava had $28.50 to spend at the farmer's market. She bought three pumpkins from the $28.50 that she had to spend.

After buying the three pumpkins, she had $12 left. This means that the amount that she spent on the pumpkin would be the total amount she had to spend - the amount she had left. This becomes

28.50 -12 = $16.5

This means that the cost pet pumpkin would be total amount that she spent on pumpkin / the number of pumpkin that she bought. It becomes

The equation that will be used to find the price of pumpkin,P would be

P = cost of n pumpkins /number of pumpkins

Where n is the number of pumpkins

In this case

Price of one pumpkin, p = cost of 3 pumpkins / 3 pumpkins

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8 0
2 years ago
A train travels 45 feet in 1/10 if a second. How far will it travel in 3.5 seconds
vfiekz [6]

Answer:

1575 ft

Step-by-step explanation:

Convert 1/10 to decimal to make the math simpler.

1/10 = 0.1

Divide 3.5 by 0.1.

3.5/0.1 = 35

Multiply 35 by 45.

35 × 45 = 1575

The train will travel 1575 feet in 3.5 seconds.

3 0
1 year ago
Leonard made some muffins. He gave 5/8 of them to his grandmother and 10 muffins to his aunt. He had 11 muffins left. How many m
elena55 [62]
<span>Leonard made some muffins. He gave 5/8 of them to his grandmother and 10 muffins to his aunt. He had 11 muffins left. How many muffins did he have at first?

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4 0
1 year ago
Read 2 more answers
point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). what is the point of B?
irina [24]

Answer:

  B = (7, 2)

Step-by-step explanation:

B = 2M -A

B = 2(3, 4) -(-1, 6) = (2·3-(-1), 2·4-6)

B = (7, 2)

_____

The expression for the other end point, B, comes from the equation for the midpoint.

  M = (A +B)/2

  2M = A + B . . . . . multiply by 2

  2M -A = B . . . . . . subtract A to get an expression for B

4 0
1 year ago
It is said that a student’s college GPA (grade point index) can be predicted by his/her HOCS (higher- order cognitive skills) su
cricket20 [7]

Answer:

apart from using the hoc to predict the college students gpa, some other variables can be used

1. the students intelligent quotient

2. ability to remember

3. study time

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Step-by-step explanation:

<u>1. the students intelligent quotient</u>

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2. <u>ability to remember</u>

the gpa of students who have a good ability to remember but do not have a good grasp of the subject may not be high. the slope would be in a slightly upward direction

3. <u>study time</u>

gpa and practice have a positive relationship. the more a student studies, the more likelihood exists of having a better gpa. the slope would be upward bound.

4. <u>gym</u><u> </u><u>practice</u>

gpa and gym practice are not related so the slope would be in a downward direction.

when interpreting the direction of relationship after carrying out such an analysis, it is useful to watch out for the accompanying signs of the variables. if the sign of the beta coefficient is positive then a positive relationship with the dependent variable exists.

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