MATHEMATICS MIDDLE SCHOOL

A species of dolphins is decreasing at a rate of 3.1% per year.if there are currently 20000 dolphins , many will there be in 30 years

Answers

Answer 1

Answer:

Answer:

7892 dolphins

Step-by-step explanation:

let P denote the dolphin population.

-Notice this is an exponential decay and is denoted as:

$P_t=P_oe^(-rt)$

Where;

$P_t$ is the population at time t
t is the time
r is the rate of decay or decrease in population
$P_o$ is the initial population size.

#Given t=30yrs, $P_o$ =20000 and r=3.1%, the population after 30 years is estimated as:

$P_t=P_oe^(-rt)\n\n=20000e^(-0.031* 30)\n\n=7891.07\approx7892\ dolphins$

Hence, the dolphin population after 30yrs is approximately 7892

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What does algebra mean in math

Answers

algebra is solving for the unknown so
if you have 10 apples and you give 5 to your friend, how many apples would you have so that is also 10-5=x solve for x

or it could be more complicated like (x-2)/6+4x-3=17

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4y equals 20 because 4 x 5 is 20

PLEASE HELP ILL GIVE YOU BRAINLIEST!!! Which number line represents the number 0.7?

Answers

Answer:

Step-by-step explanation:

We know $0.7$ is in between $0$ and $1$

Thus the dot has to be in between $0$ and $1$

And it should be $7^t^h$ unit after $0$

Observing all the number line , we see C is the absolute match!

Richard walks every day for exercise at a rate of 1 kilometer every 12 minutesPart A
At this rate, how many meters can Richard walk in 1 hour? Explain how you found your answer.

Part B
Suppose Richard walks 1 kilometer every 10 minutes. How many meters further can he walk in 1 hour at this new rate? Explain how you found your answer

Answers

he coud walk 5 meters in one hour because i did 60-12-12-12-12 and then you have a extra 12 so he got 5 meters in one hour part b he can 1 more further because 1 meter because before it was 12 hope explained it right

What is the are of the polygon below?

Answers

I got 32units squared. you have to figure out the little areas of the shape and then add them all up

Cut the polygon to pieces;
the top triangle: 4 x 10 (1/2) = 20 then;
2 x 2 (1/2) = 2 then;
2 x 2= 4
2 x 6 (1/2) = 6
So 20 + 2 + 4 + 6 = 32² is the answer!

You and three friends own a paint shop. The shop's profit was $536 in the first month. You always divide the profits equally. In two months, each of you had made $224. How much profit did the shop make in the second month?

Answers

Step 1

Find the profit in two months

Multiply the total amount made by the whole group in two months ( $\$224$ ) by the total number of persons ( $4$ )

$4*\$224=\$896$

Step 2

Find the profit of the shop in the second month

we know that

$Total\ profit\ in\ two\ months=Profit\ first\ month\ +\ Profit\ second\ month$

$Profit\ second\ month=Total\ profit\ in\ two\ months-Profit\ first\ month$

substitute the values

$Profit\ second\ month=\$896-\$536=\$360$

therefore

the answer is

$\$360$

Answer:

Step-by-step explanation:

360

Which of the following equations models the relationship of angle A to the length of the line segment BC in the figure below.

Answers

Let the line segment BD be x, then sin A = x/15
or, x = 15sinA
Also $y^(2) = x^(2) + (25)^(2) \n = (15sinA)^(2) + 625 \n =225 sin^(2) A+625 \n y= \sqrt{225 sin^(2) A+625}$
The last option

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Sarah burns an average of 744 calories in 45 minutes while running. She ran at 10 miles per hour. There are 5,280 feet per a mile. How many calories did Sarah burn per foot? Round to the nearest tenthousandth.