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Vilka [71]
3 years ago
13

The cluster on a dot plot and histogram determine whether it is skewed left or right.

Mathematics
1 answer:
FrozenT [24]3 years ago
7 0
Q2) 90 is the answer
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The initial size of the population is 300. After 1 day the population has grown to 800. Estimate the population after 6 days. (R
Cloud [144]

Solution :

Given initial population = 300

Final population after 1 day = 800

Number of days = 6

∴ $\frac{dP}{dt} =kt^{1/2} $

P(0) = 300    P(1) = 300

We need to find P(8).

$dP = kt^{1/2} dt$

$ \int 1 dP = \int kt^{1/2} dt$

$P(t) = k \left(\frac{t^{3/2}}{3/2}\right)+c$

$P(t)= \frac{2k}{3}t^{3/2} + c$

When P(0) = 300

$300 = \frac{2k}{3} (0)^{3/2} + c$

∴ c = 300

∴ $P(t)= \frac{2k}{3}t^{3/2} + 300$

When P(1) = 800

$800 = \frac{2k}{3} (1)^{3/2} + 300$

$500 = \frac{2k}{3}$

∴ k = 750

$P(t)= 500t^{3/2} + 300$

So, P(8) is

$P(t)= 500(8)^{3/2} + 300$

        = 11,614

So the population becomes 11,614 after 8 days.

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Kelby has several pets. She has BBB birds, CCC cats, and FFF frogs.
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Step-by-step explanation:

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Read 2 more answers
HELP!!!!
Lera25 [3.4K]

Answer:

  • a. the y-intercept of f(x) is greater than the y-intercept of g(x)

Step-by-step explanation:

<u>Given function:</u>

  • f(x)=(x - 4)^2 - 4

<u>We can work out the function from the table values:</u>

  • g(x) = (x + 2)^2 - 4

<u>Options:</u>

a. the y-intercept of f(x) is greater than the y-intercept of g(x)

  • True. x= 0 ⇒ f(0) = (-4)^2 - 4 = 12, g(0) = 2^2 - 4 = 0

b. The y-intercept of g(x) is greater than the y-intercept of f(x)

  • False. See previous option.  

c. The y-coordinate of the vertex of f(x) s greater than the y-coordinate of the vertex of g(x)

  • False. They are same = -4

d. The x-coordinate of the vertex of g(x) is greater than the x-coordinate of the vertex of f(x)

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