Lucy has a hemisphere shaped goldfish pond in her backyard. The pond has a circumference of 11.9 feet . The pond has a population density of 3.6 cubic feet of water for each goldfish. How many goldfish are in Lucy's pond ?

Answers

Answer 1

Answer: 40.38 my answer is 40.38 or 40 goldfish

Answer 2

Answer:

Around 40.38 - 40 goldfish is your answer.

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In a biological lab, the cell growth rate of two different organisms is tracked and recorded each week. Given the growth rate, the number of organisms can be determined using the following equations: s(x) = 100 + 23x m(x) = 90(1.2x) Complete the table of values. x 100 + 23x 90(1.2x) 0 1 2 3 4 5 Use the table to determine at approximately which point the number of cells will be the same for each organism. Graph the system of equations, and show the point of intersection. Explain what the points graphed for each line represent. Explain how you can determine the solution to the equation 100 + 23x = 90(1.2x) using the graph from part c. Find the point(s) of intersection, and explain what the intersection represents in the context of the problem.
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A study is done on the population of a certain fish species in a lake. Suppose that the population size P(t) after t years is given by the following exponential function. P(t)=280(1.29)^t Find the initial population size?
does the function represent growth or decay?
By what percentage does the population change each year?

Answers

Answer:

280
function represent growth.
29 %

Step-by-step explanation:

Equation to calculate population size after time, t

P(t) = 280(1.29)^t

To find initial population size we will take t = 0

P(0) = 280(1.29)^0

= 280(1)

= 280

To find that function represent growth or decay

P(1) = 280(1.29)^1

= 280(1.29)

= 361.2

Its means that after a year population increases. Hence, function represent growth.

By what percentage does the population change each year?

(361.2 - 280 / 280) * 100%

= 29 %

Answer:

280

function represent growth.

29 %

The two bases of a trapezoid are 3 and 11 and the altitude is 8. What is the area of the trapezoid? A. 56
B. 112
C. 64
D. 96

Answers

The area of the given trapezoid is 56 sq.units.

What is a trapezoid?

A quadrilateral with at least one pair of parallel sides is called a trapezoid.

Given that, the two bases of a trapezoid are 3 and 11 and the altitude is 8

Area of a trapezoid = (sum of the two bases) / 2 × height

= (3+11) / 2 × 8

= 14 / 2 × 8

= 7 × 8

= 56

Hence, the area of the given trapezoid is 56 sq.units.

For more references on trapezoid, click;

brainly.com/question/8643562

#SPJ2

a+b/2×h

3+11/2×8

14/2×8

7×8= 56 which is :A

Suppose two independent events A and B have the following probabilities: P(Aᶜ = 0.40 and P(B∣A) = 0.80. Compute the probability that either avent A accurs, or Boccurs, or both occur.

Answers

Answer:

neither A nor B will occur simultaneously, as they are mutually exclusive.

Step-by-step explanation:

To compute the probability that either event A occurs, or B occurs, or both occur, you can use the principle of the union of events. The probability of the union of two events A and B (denoted as A ∪ B) can be calculated as:

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P(A∪B)=P(A)+P(B)−P(A∩B)

In this case, you're given:

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0.40

P(A

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0.80

P(B∣A)=0.80, which is the conditional probability of B occurring given that A has occurred.

Let's break it down:

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P(A

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1−P(A).

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P(B∣A) is the conditional probability that event B occurs given that A has occurred.

So, you can calculate

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P(A) and

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P(B) as follows:

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0.60

P(A)=1−P(A

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Now, you can use the formula for the union of events to calculate

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P(A∪B):

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P(A∪B)=P(A)+P(B)−P(A∩B)

But before we calculate

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P(A∩B), note that events A and B are independent, so

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P(A∩B)=P(A)⋅P(B∣A).

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0.60

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0.48

P(A∩B)=P(A)⋅P(B∣A)=0.60⋅0.80=0.48

Now, plug this value into the formula:

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P(A∪B)=0.60+P(B)−0.48

Solve for

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P(B):

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0.48

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P(B)=P(A∪B)+0.48−0.60

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0.12

P(B)=P(A∪B)−0.12

Now, you have the equation:

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0.60

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P(A∪B)=0.60+P(A∪B)−0.12−0.48

Simplify:

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P(A∪B)=0.60−0.12−0.48

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0.00

P(A∪B)=0.00

So, the probability that either event A occurs, or B occurs, or both occur is 0.00. This means that neither A nor B will occur simultaneously, as they are mutually exclusive.

Which number line shows the correct placement of -200, 75, and -150?

Answers

Answer:

in the explanation

Step-by-step explanation:

In the number line, the left most number would be -200 as it's the lowest, the middle would be -150, as this number is in between the other two, and the right most would be 75, as it's the greatest.

Hope this helps!

I really need help with this question3. Solve n^2+ n-12 by factoring. *
n= 6, n=-2
n=4, n= -3
n=-6, n= 2
n=-4, n=3

Answers

Answer:

n = -4 n=3

Step-by-step explanation:

n^2+ n-12

What 2 numbers multiply to -12 and add to 1

4*-3 = -12

4-3 =1

(n+4) (n+3) =0

Using the zero product property

n+4 = 0 n-3 =0

n = -4 n=3

A driveway is 162 feet long,6 feet wide,and 4 inches deep.How many cubic feet of concrete will be required for the driveway

Answers

It's length times width times height.

162x4x6

The answer is 3888 cubic feet of concrete.

3888 if you are asking for the volume.
(One thing I'm not sure is 162 is the length, correct?)

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