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julia-pushkina [17]

3 years ago

5

2. A weed called the raindrop vine is known for growing at a very fast rate. It can grow up to 0.75 feet per day. How fast in in

ches per hour can the raindrop vine grow up to? Show all your work.

1 answer:

grigory [225]3 years ago

4 0

It grows 0.03125 feet an hour. You simply divide 0.75 by 24, since there are 24 hours in a day.

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What is the degree measure of f?

olganol [36]

The answer is 58 pretty sure

7 0

3 years ago

The length (in centimeters) of a typical Pacific halibut t years old is approximately f(t) = 200(1 − 0.956e−0.18t). Suppose a Pa

horsena [70]

Answer:

7.2 years

Step-by-step explanation:

$f(t) =200(1 - 0.956e^{-0.18t})$

where f(t) is the length and t is the number of years old

given the Mike measures 148 cm, we need to find out the age

So we plug in 148 for f(t) and solve for t

$148 =200(1 - 0.956e^{-0.18t})$

divide both sides by 200

$\frac{148}{200} = 1 - 0.956e^{-0.18t}$

Now subtract 1 from both sides

$-0.26= - 0.956e^{-0.18t}$

Divide both sides by -0.956

$\frac{0.26}{0.956} =e^{-0.18t}$

Now take ln on both sides

$\frac{0.26}{0.956} =e^{-0.18t}$

$ln(\frac{0.26}{0.956} )=-0.18tln(e)$

$ln(\frac{0.26}{0.956} )=-0.18t$

divide both sides by -0.18

t=7.2

So 7.2 years

5 0

3 years ago

Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost fu

gavmur [86]

Answer:

The profit function is:

$P(x)=-x^2+1280x-3300$

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

$R(x)=1300x-x^2$

And the cost function is:

$C(x)=3300+20x$

Then the total profit function will be:

$P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300$

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

$\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)$

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

$\displaystyle x=-\frac{1280}{2(-1)}=640$

And the maximum profit will be:

$P(640)=-(640)^2+1280(640)-3300=406300$

5 0

3 years ago

Read 2 more answers

What number ten more than 985

Ksenya-84 [330]

$\text{Hey there!}\\\text{What number ten more than 985?}\\\\\text{In order for you to find the number that's 10 more than 985. you can}\\\text{add 10 plus the number 985}\\\\\text{So, 985 + 10 = ? }\\\\\text{? = the mystery number}\\\\\text 10 + 985 = 995}\\\\\boxed{\boxed{\text{Answer: 995}}}\checkmark$

$\text{We added because you put the word MORE in the sentence}\\\text{And more can mean GO UPWARD}$

$\text{If you were to say less than you would have to subtract. Since,}\\\text{you are going downward }$

$\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}$

6 0

4 years ago

Please help ! This is 7th grade math and I’ve been stuck on this question for 30 minutes!

FinnZ [79.3K]

$\dfrac{1}{22}\:\dfrac{\text{in}}{\text{hr}}$

Step-by-step explanation:

The amount of time from 10pm to 7am is 9 hours. However, the time indicated is 7:10am. Since there are 60 minutes in an hour, 10 min is equal to 1/6 of an hour. Therefore, the total time that the water level of the pool decreased is $9\frac{1}{6}$ hours or $\frac{55}{6}$ hours. To find the rate at which the water level decreased, we divide the change in the water (in inches) by the time it took to reach that level. So we write

rate of change $= \dfrac{\text{change\:in\:height}}{\text{change\:in\:time}}$

$\:\:\:\:\:\:\:= \dfrac{\frac{5}{12}\:\text{in}}{\frac{55}{6}\:\text{hrs}}$

$\:\:\:\:\:\:\:=\dfrac{5}{12}\cdot\dfrac{6}{55}\:\dfrac{\text{in}}{\text{hr}}$

$\:\:\:\:\:\:\:= \frac{1}{22}\:\dfrac{\text{in}}{\text{hr}}$

7 0

3 years ago