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jeyben [28]
3 years ago
5

Find p(0), p(1) and p(2) for the polynomial P(t) = 2 + t + 2t²-t³

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

p(0)=2

p(1)=2+1+2-1=4

p(2)=2+2+8-8=4

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Mrs. Barrera learned that 21 of
otez555 [7]

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just do 21/25

Step-by-step explanation:

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3 years ago
Question 17
Rufina [12.5K]

Answer:

698 fishes

Step-by-step explanation:

Generally, we can represent an exponential growth function as;

y = a•(1 + r)^t

originally, there were 3 fishes

The original value in this case means a = 3

After 6 weeks, there were 31

31 in this case is y

r is the increase percentage or rate

t is the time

So, we have it that;

31 = 3•(1 + r)^6

31/3 = (1 + r)^6

10.33 = (1 + r)^6

ln 10.33 = 6 ln (1 + r)

ln 10.33/6 = ln (1 + r)

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r = 1.476-1

r = 0.476 or 47.6%

So the growth percentage or rate is 47.6%

For 14 weeks, we simply have the value of t as 14;

So ;

y = 3•(1 + 0.476)^14

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y = 698 fishes

8 0
2 years ago
Solve each equation. 0.2x2 + 1.2 = 3.4
Marat540 [252]
0.2x^2+1.2=3.4\ \ \ |-1.2\\\\0.2x^2=2.2\ \ \ |:0.2\\\\x^2=11\to x=\pm\sqrt{11}\\\\\text{Answer:}\ x=-\sqrt{11}\ \vee\ x=\sqrt{11}
6 0
3 years ago
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Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-
Shtirlitz [24]

Answer:

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Step-by-step explanation:

Mean Value Theorem:

If f is a continuous function in a bounded interval [0,4], there is at least one value of c in (a,b) for which:

f(c) = \frac{1}{b-a}\int\limits^a_b {f(x)} \, dx

In this problem, we have that:

f(x) = x, a = 0, b = 4

So f(c) = c

----------

f(c) = \frac{1}{b-a}\int\limits^a_b {f(x)} \, dx

c = \frac{1}{4-0}\int\limits^0_4 {x} \, dx

c = \frac{1}{4-0}*8

c = 2

The number c is 2.

3 0
3 years ago
What is the constant of proportionality?
Mars2501 [29]

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Step-by-step explanation:

hope this helps if do mark brainllest pls

4 0
2 years ago
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