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Mumz [18]
3 years ago
14

Scratchpad

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0
Theirs a 71% chance that she choose a black marker
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Is this a acute angel
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YES MA'AM

Step-by-step explanation:

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3 years ago
Josh $600 into an account that pays simple interest at a rate of 4% per year. How much interest will he be paid in the first 4 y
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i think its 96 dollars

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
3. A rare species of aquatic insect was discovered in the Amazon rainforest. To protect the species, environmentalists declared
navik [9.2K]

The number of months until the insect population reaches 40 thousand is 14.29 months and the limiting factor on the insect population as time progresses is 250 thousands.

Given that population P(t) (in thousands) of insects in t months after being transplanted is P(t)=(50(1+0.05t))/(2+0.01t).

(a) Firstly, we will find the number of months until the insect population reaches 40 thousand by equating the given population expression with 40, we get

P(t)=40

(50(1+0.05t))/(2+0.01t)=40

Cross multiply both sides, we get

50(1+0.05t)=40(2+0.01t)

Apply the distributive property a(b+c)=ab+ac, we get

50+2.5t=80+0.4t

Subtract 0.4t and 50 from both sides, we get

50+2.5t-0.4t-50=80+0.4t-0.4t-50

2.1t=30

Divide both sides with 2.1, we get

t=14.29 months

(b) Now, we will find the limiting factor on the insect population as time progresses by taking limit on both sides with t→∞, we get

\begin{aligned}\lim_{t \rightarrow \infty}P(t)&=\lim_{t \rightarrow \infty}\frac{50(1+0.05t)}{2+0.01t}\\ &=\lim_{t \rightarrow \infty}\frac{50(\frac{1}{t}+0.05)}{\frac{2}{t}+0.01}\\ &=50\times \frac{0.05}{0.01}\\ &=250\end

(c) Further, we will sketch the graph of the function using the window 0≤t≤700 and 0≤p(t)≤700 as shown in the figure.

Hence, when the population P(t) (in thousands) of insects in t months after being transplanted by P(t)=(50(1+0.05t))/(2+0.01t) then the number of months until the insect population reaches 40 thousand 14.29 months and the limiting factor on the insect population is 250 thousand and the graph is shown in the figure.

Learn more about limiting factor from here brainly.com/question/18415071.

#SPJ1

8 0
2 years ago
H(t)=-16t*2+16t=480 need help
Black_prince [1.1K]
I do not need any snarky remarks from you. I was trying to help. FOR EXAMPLE what am I solving for? Y intercept, X intercept. You don't get to get angry with me because I'm asking a simple question girl.
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3 years ago
The function f(x) = x2 is graphed on a coordinate grid. Lauren wants to graph g(x) = (x + 2)2 + 3 on the same grid. Which of the
PSYCHO15rus [73]

Answer:

f(x2)

Step-by-step explanation:

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