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klio [65]
3 years ago
8

Find the value of x so that the line through the pair of points has the given slope.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
3 0
1 is the answer b/c that's the only number it goes too
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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
Anettt [7]

Answer:

1) The size of the colony after 4 ​days is 6553 mosquitoes

2) After t = 4.9\ days

Step-by-step explanation:

To answer this question you must use the growth formula

N = N_0e ^ {kt}

Where

N_0 is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and N_0=1000 then N = 1600

Then we use these values to find k.

1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days

6 0
3 years ago
Which of the following is a possible situation for the graph shown?
docker41 [41]

Step-by-step explanation:

but the graph is not given here

4 0
2 years ago
After 2/3 of an hour, the tightrope walker has traveled 1/6 of a mile across Niagara Falls. How many miles will he have to trave
Jlenok [28]

Answer:

1/4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Tell whether the triangle with the given side lengths is a right triangle.<br> 10in., 24in., 26in.
ra1l [238]
Answer- Yes it is a right triangle.
You can use the Pythagorean Theorem.
( a^2 + b^ = c^2 ) and replace a with 10, b with 24, and c with 26 and the equation will be balanced on both sides.

(10^2 + 24^2 = 26^2)
(100 + 576 = 676 )
4 0
3 years ago
What does it mean when a researcher states that an observed effect or difference is significant with a confidence level of 99%?
icang [17]

Answer:

it affected more than half

Step-by-step explanation:

5 0
3 years ago
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