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maks197457 [2]
3 years ago
13

Find the length of segment VS. (Enter the just the value,

Mathematics
1 answer:
ratelena [41]3 years ago
4 0
<h3>Answer:  20</h3>

=======================================================

Explanation:

The triangles are similar, allowing us to form a proportion

The vertical sides pair up on one side, the horizontal sides pair up on the other side. Divide in the same order.

QV/RT = VS/TS

5/3 = x/12

12*5 = 3x ... cross multiply

60 = 3x

3x = 60

x = 60/3

x = 20

VS = 20

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shutvik [7]

Answer:

41

Step-by-step explanation:

8 0
3 years ago
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If N is the population of the colony and t is the time in​ days, express N as a function of t. Consider Upper N 0 is the origina
lesya [120]

Answer:

(a)N(t)=Noe^{kt}

(b)5,832 Mosquitoes

(c)5 days

Step-by-step explanation:

(a)Given an original amount N_o at t=0. The population of the colony with a growth rate k \neq 0, where k is a constant is given as:

N(t)=Noe^{kt}

(b)If N_o=1000 and the population after 1 day, N(1)=1800

Then, from our model:

N(1)=1800

1800=1000e^{k}\\$Divide both sides by 1000\\e^{k}=1.8\\$Take the natural logarithm of both sides\\k=ln(1.8)

Therefore, our model is:

N(t)=1000e^{t*ln(1.8)}\\N(t)=1000\cdot1.8^t

In 3 days time

N(3)=1000\cdot1.8^3=5832

The population of mosquitoes in 3 days time will be approximately 5832.

(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.

From our model

N(t)=1000\cdot1.8^t\\20000=1000\cdot1.8^t\\$Divide both sides by 1000\\20=1.8^t\\$Convert to logarithm form\\Log_{1.8}20=t\\\frac{Log 20}{Log 1.8}=t\\ t=5.097\approx 5\; days

In approximately 5 days, the population of mosquitoes will be 20,000.

7 0
3 years ago
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What is 89999999+ 3099999999999=??????
soldi70 [24.7K]

3.100089999. This is is the answer

8 0
3 years ago
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How many 1/2's are in 7
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14

Step-by-step explanation:

1/2 + 1/2 = 1

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4 is 8 halves

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6 0
3 years ago
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question says ; miranda has $3.60 in quarters and nickels in her piggy bank. which equation could be solved to find the possible
Jobisdone [24]
To find the relation between them, you need transform them to the same currency. Let's transform them to cents.
$3.60 = 360 cents.
One quarter is 25 cents, and one nickel is 5 cents.

So 360 = 25q  + 5n

Hope this helps! :D
7 0
4 years ago
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