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stepladder [879]
3 years ago
9

What is the equation in point-slope form of a line that passes through the points (5,-3) and

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Answer: the answer is D

Step-by-step explanation:

D. Y+3 = -12/7 (x-5

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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
Find the domain of the function shown. Write the answer in interval notation.
lara31 [8.8K]

( - ∞, 3) ∪ (3, ∞ )

The domain is the set of values of x which make f(x) defined

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 3 = 0 ⇒ x = 3

domain : (- ∞, 3) ∪ (3, ∞ )


7 0
4 years ago
A intercept of 2 and slope of 1/6
Katen [24]

Answer:

what is your question though. if its create an equation, its

y = 1/6x + 2

3 0
3 years ago
Solve for variable y answer in simplest radical form
ASHA 777 [7]

Answer:

option A

Step-by-step explanation:

option A y = 9√3 is the correct answer .

In∆ PQR

cos 30 = y /18

√3/2 = y / 18

y = 9√ 3

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

4 0
3 years ago
Raja drew a circle and labeled the center S. He used the expression 12. to find the
Aleonysh [2.5K]

Answer:a

Step-by-step explanation:

5 0
3 years ago
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