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2 years ago

Find the value of f(-5).

Mathematics

1 answer:

pshichka [43]2 years ago

5 0

<h3>Answer: 4</h3>

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Explanation:

Locate -5 on the x axis number line. Draw an arrow going upward until you reach the function curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Therefore, f(-5) = 4 and it means the point (-5, 4) is on the function curve.

Check out the diagram below.

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Another model for a growth function for a limited population is given by the Gompertz function, which is a solution to the diffe

krek1111 [17]

Answer:

The solution is

$P(t) = 1000e^{-1}e^{e^{-0.05t}}$ .

Step-by-step explanation:

We have the Gompertz's differential equation

$\frac{dP}{dt} = -cP\ln(KP)$ .

Notice that this a separable equation. So,

$\frac{dP}{P\ln(KP)} = -cdt$ .

Now, integrating in both sides:

$\int\frac{dP}{P\ln(KP)} = -\int cdt$ .

Recall that

$\int\frac{dP}{P\ln(KP)} = \ln(|\ln(KP)|)$ .

Thus,

$\ln(|\ln(KP)|) = -ct+A$ ,

and taking exponential:

$|\ln(KP)| = A'e^{-ct}$ .

Taking another exponential

$P(t) = \frac{A''}{K} e^{e^{-ct}}$ .

Now, let us substitute the given values for c and K:

$P(t) = \frac{A''}{3000} e^{e^{-0.05t}}$ .

To find the value of the constant A'' we use the initial condition:

$P(0) = \frac{A''}{3000} e^{e^{0}} = \frac{A''}{3000}e=1000$ .

Then,

$A'' = \frac{3\cdot 10^6}{e}$ .

Hence, the solution is

$P(t) = 1000e^{-1}e^{e^{-0.05t}}$

6 0

3 years ago

I need to know how to do the problem

Brilliant_brown [7]

9*15=135

15*4.8=72

9*4.8=43.2

135+72+43.2= 250.2ft (Surface Area)

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9*15*4.8=648ft (Volume)

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Hope this helps

8 0

3 years ago

What does 1/4 of a can of coffee cost if 4 cans of coffee cost $2. 40?.

ArbitrLikvidat [17]

Answer:

$0.15

Step-by-step explanation:

1/4 of a can = 0.25 cans

4 ÷ 0.25 = 16

if 0.25 cans is 1/16 of 4, then the price of 0.25 cans would be 1/16 of $2.40

2.40 ÷ 16 = $0.15

4 0

2 years ago

Himari is solving the equation 4 ( x - 3 ) = 16. Her first step is 4x - 12 = 16. Which step could be the next step? Select all t

Pani-rosa [81]

Answer:

Her next step would be to add 12 to both sides of the equation

Step-by-step explanation:

Which would make the equation 4x=28

Then you divide both sides by 4 giving you x=7

4 0

3 years ago

Read 2 more answers

What is the slope of the line that contains the points (-4, 2) and (6, -3)?

mote1985 [20]

Answer:

-1/2 or $-\frac{1}{2}$

Step-by-step explanation:

to find the slope, use the formula

(y₁ - y₂)/(x₁ - x₂)

(2 - -3)/(-4 - 6)

(2 + 3)/(- 4 - 6)

5/-10

1/-2

-1/2

8 0

3 years ago