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3 years ago

What are the values of x and y in the following system of equations?

Mathematics

1 answer:

OverLord2011 [107]3 years ago

4 0

Step-by-step explanation:

By elimination method,

x+y=15

-x+y=5

------------

2y=20

i.e y=10

Now,

x+y=15

or, x+10=15

or, x=5

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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

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.

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2 years ago

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What is the volume in cubic inches of the concrete used to create this stairway?

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3 years ago

The point of tangency of line S to circle A is M. True False

Nadusha1986 [10]

Answer:

False

Step-by-step explanation:

Definition of Tangency : Tangent to a circle is a line that touches the circle at one point, which is known as Tangency.

At the point of Tangency, Tangent to a circle is always perpendicular to the radius.

We are supposed to find The point of tangency of line S to circle A is M

Considering the definition,

The lines S touches the circle at point J not at M

So,The point of tangency of line S to circle A is M is False

So, Option B is correct

Hence The point of tangency of line S to circle A is M is False

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2 years ago

1.) k + 4n k = 3 and n = 7 *

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1.) 31
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3.)85
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Faith mixes 14 liters of 12% acid solution with a 30% acid solution, which results in an 18% acid solution. let x represent the

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