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SCORPION-xisa [38]
3 years ago
7

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the

plant f(n), in cm, after n days:
f(n) = 12(1.03)^n

Part A: When the scientist concluded his study, the height of the plant was approximately 16.13 cm. What is a reasonable domain to plot the growth function? (4 points)
Mathematics
1 answer:
gtnhenbr [62]3 years ago
5 0

At day 0 the height of the plant = 12 cm

Calculate how many days  to get to 16.13 cm:-
16.13  = 12(1.03)^n

1.03^n = 16.13 / 12 = 1.34417
n = ln 1.34417 / ln 1.03  = 10  days

I would think that a reasnable domain would be   0 =< n <= 100
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A circular field has a area of 14400 sq ft <br> What is the diameter of the field?
Bingel [31]

Answer:

240/sqrt(pi)

Step-by-step explanation:

We know that the area of a circle is $pi*r^2$, and we also know that the diameter of a circle is equal to $2r$.

Let's first make an equation for this problem.

pi*r^2=14400

Dividing both sides by pi, we get

r^2=14400/pi

Now, taking the square root of both sides gives us

r=120/sqrt(pi)

We are trying to find the diameter, which is twice the size of the radius.

Thus, we multiply the equation by two.

2r=240/sqrt(pi)

6 0
3 years ago
Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain.
Oduvanchick [21]

we know that

If (x-8) is a factor of the function f(x)=-2x^{3}+17x^{2}-64

then

x=8 is a root of the function f(x)

therefore

For x=8 the value of the function must be zero

Verify

Substitute the value of x=8 in the function

f(8)=-2(8)^{3}+17(8)^{2}-64

f(8)=-2(512)+17(64)-64

f(8)=-1,024+1,088-64

f(8)=-1,088+1,088

f(8)=0

therefore

<u>the answer is</u>

Yes, (x-8) is a factor of the function f(x)

7 0
3 years ago
Read 2 more answers
Compare and contrast the difference between "simplify a fraction" and "simplify a radical."
Ne4ueva [31]
Simplifying a fraction means most likely having it remain as a fraction and not a whole number and it can be converted as a decimal.

on the other hand, simplifying a radical, you would have no remainders, fractions, or decimals after simplifying.

thats the difference.
im not sure about similarities
8 0
4 years ago
What is the area of a circle with a diameter of 21 centimeters?
sattari [20]
Area of a circle: πr²

Data:
diameter:  21 cm
radius=diameter/2=21 cm/2=10.5 cm

area of this circle: π(10.5 cm)²=110.25π cm²  (≈346.36 cm²)

Answer: area=110.25π cm²
4 0
3 years ago
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If you take a number, times by 7 then subtract 1. You get the same as if you took the number, times by 5 then subtract 8. What i
valentinak56 [21]

Answer:

1 i think

Step-by-step explanation:

6 0
3 years ago
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