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3 years ago

Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She

Mathematics

1 answer:

blondinia [14]3 years ago

8 0

Answer:

P(t) = 27000 - 4*t

Step-by-step explanation:

Over a period of time, if we know the population at certain time, and the rate of change of the population, we can express the function describing such population by means of these two parameters

Then:

P(t) = P₀ + 4*t

In our case

P(t) = 27000 - 4*t

Sign minus is for decreasing population t is in months, 4 is the rate of change and finally 27000 was population the first time Talulah counted the population

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Which expressions is not equivalent 2x^2+10x+12?

sergeinik [125]

Answer:

Step-by-step explanation:

First, factor the original expression:

As we can see, D is the same as above. Eliminate D.

Go through each of the answer choices.

This is equivalent to what we factored. Eliminate A.

This is again equivalent to what we factored. Eliminate B.

This cannot be simplified and it is not equivalent to what we have previously. C is not the equivalent expression.

7 0

2 years ago

I need help asap

In-s [12.5K]

You know the formula for calculating the lateral area of a cylinder with a radius r and height h is S=2*π*r*h
So we have S= 2*π*6*20= 240π
Have fun

6 0

3 years ago

Read 2 more answers

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

What does m represent in the equation y = mx + b?

dexar [7]

Answer:

B. the slope of the graph of y = mx + b

Step-by-step explanation:

m is the slope.

y is the y value

x is the x value

b is the y intercept

8 0

3 years ago

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An artists builds a sculpture out of metal and wood that weighs 14.9 kilograms.3/4 of this weight is metal,and the rest is wood.

Softa [21]

Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

It says that three-fourth of the total weight is metal and says to find the weight of wooden part.

We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Total weight = 14.9 kilograms.

Metal part = three-fourth of total weight = $\frac{3}{4} *14.9=\frac{44.7}{4} =11.175 \;kilograms$

Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

7 0

3 years ago

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