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EleoNora [17]
2 years ago
9

15,000 blue trout were released into the Meherrin River for a scientific study. The function, f(x) = 15,000 (98)x , represents t

he number of blue trout after x years. In 5 years, what will happen to the population?
Mathematics
1 answer:
Norma-Jean [14]2 years ago
0 0

Answer:

I'm guessing you mean f(x)=15,000(9/8)^x. If this is what you mean, the population would increase by about 12,000 (12030.4870605 to be exact).

Step-by-step explanation:

Starting equation: f(x)=15,000(9/8)^x

You can clean up the 9/8 to be 1.125

Now what you want to do is find the answer to (9/8)^5 which is 1.8020324707

Next multiply 1.8020324707 by 15,000 and you get 27030.4870605

Finally 27,030.4870605 - 15,000 gives you 12030.4870605. Which means that the population increased by about 12,000.

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Is "8.313313331..." a rational or irrational number
Snowcat [4.5K]

Answer:

Irrational

Step-by-step explanation:

Repeating decimals are rational.  Nonrepeating are irrational.

This is a nonrepeating decimal.  First you have one 3, then two 3s, then three 3s.  It's not a repeating pattern.  So it's an irrational number.

7 0
2 years ago
While Brendan is vacationing with his family at the cabin, they take a motorboat on the river. The motorboat travels
taurus [48]

Part 1: The speed of the boat traveling downstream is (18+w) miles per hr.

The speed of the boat traveling upstream is (18-w) miles per hr.

Part 2: The speed of the current is 4 miles per hour.

Explanation:

Part (1): The motorboat travels 18 miles per hour in still.

Let w represents the speed of the current.

When the boat travels downstream, the speed of the current will get added to the speed of the boat.

Thus, the expression can be written as (18+w) miles per hr

Hence, the speed of the boat traveling downstream is (18+w) miles per hr.

When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.

Thus, the expression can be written as (18-w) miles per hr.

Hence, the speed of the boat traveling upstream is (18-w) miles per hr.

Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.

The distance formula is given by distance $=$ speed $\times$ time

Substituting, we have,

49=(18-w)t\\49=18t-wt  ---------------(1)

77=(18+w)t\\77=18t+wt  ---------------(2)

Solving using elimination method,

49=18 t-w t\\77=18 t+w t\\-------\\126=36t

Dividing both sides by 36, we have,

t=3.5

Substituting t=3.5 in $49=18 t-w t$, we get,

49=18(3.5)-w (3.5)\\

49=63-3.5w\\

-14=-3.5w\\

4=w

Thus, the speed of the current is w=4 miles per hour.

5 0
2 years ago
At the Yogurt Pump, all flavors of frozen yogurt are $1.75 per scoop. If a customer buys v vanilla scoops and c chocolate scoops
Elza [17]
The answer is going to be D
5 0
1 year ago
ALGEBRA 2/ TRIG QUESTION ATTACHED Please help ❤️❤️
ss7ja [257]
Let's calculate the value of angle A and B

sin(A) =-4/5 → sin⁻¹(- 4/5) = A  →  A = - 53.13


cos(B) = -5/13 → cos⁻¹ (- 5/13) = B  → B = 112.62


tan (A+B) = sin(A+B)/cos(A+B)  with A+B = -53.13 + 112.62 = 59.49

tan (A+B) = sin(59.49)/cos(59.49) = 0.86154/0.507688 = 1.6969.

(Answer H = 56/33 = 1.6969)

7 0
2 years ago
Consider a set of 7500 scores on a national test whose score is known to be distributed normally with a mean of 510 and a standa
german
\mathbb P(X>600)=\mathbb P\left(\dfrac{X-510}{85}>\dfrac{600-510}{85}\right)=\mathbb P(Z>1.059)\approx0.145

So approximately 14.5% of the scores are higher than 600. This means in a sample of 7500, one could expect to see 0.145\times7500\approx10.86 scores above 600.
5 0
2 years ago
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