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soldier1979 [14.2K]
3 years ago
8

A population of insects increases according to the law of exponential growth. After 2 days of growth there are 100 insects. Afte

r 4 days of growth there are 300 insects. Find an exponential growth function that models this data. Use the Exponential growth model y=ae^it
A. Y=33e^-0.05493t
B. Y=33e^0.5493t
C. Y=66e^-0.5493t
D. Y=66e^0.5493t
Mathematics
1 answer:
Fantom [35]3 years ago
3 0

Answer:

I think its A so hope this helps

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please help! functions and relations. f(x)= square root of x-4. find the inverse of f(x) and it’s domain.
likoan [24]

ANSWER:

\:D.\text{ }f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge-4

STEP-BY-STEP EXPLANATION:

We have the following equation:

f(x)=\sqrt{x}-4

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

\begin{gathered} x=\sqrt{f^{-1}(x)}-4 \\  \\ \sqrt{f^{-1}(x)}=x+4 \\  \\ f^{-1}(x)=(x+4)^2 \end{gathered}

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.

Therefore, the domain is x ≥ -4.

So the correct answer is D.

\:f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge -4

4 0
9 months ago
A line passes through the point (-4, -2) and has a slope of -5/2. Write an equation in slope- intercept form for this line.
kirill115 [55]

Answer:

<h2>           y = -⁵/₂x - 12 </h2>

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -⁵/₂

(-4, -2)    ⇒   x₀ = -4,  y₀ = -2

The point-slope form of the equation:

y + 2 = -⁵/₂(x + 4)

So:

y + 2 = -⁵/₂x - 10         {subtract 2 from both sides}

y = -⁵/₂x - 12             ←  the slope-intercept form of the equation

5 0
2 years ago
It costs $35 for a membership at a wholesale store. the monthly fee is $15. Write an equation that represents the total cost( in
Nastasia [14]

Answer:

35+15=50 or 35$+15$=50$

Step-by-step explanation:

If its for twelve months

35$+180$=215$

8 0
2 years ago
Is point (2,1) on the the line represented by the equation x+2y=5
Sphinxa [80]
To check if this point lies on the line, plug in a 2 for x and a y for 1 and solve

x+2y=5
2+2(1)=5
4=5

Since this statement isn't true, then the point doesn't lie on the line

Hope this helps

6 0
3 years ago
Read 2 more answers
What is the answer ?
adell [148]

The most reasonable would be grams.

5 0
2 years ago
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