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4 years ago

WILL GIVE BRAINLIEST! Please help me quickly with math!

Mathematics

2 answers:

Inga [223]4 years ago

8 0

4 units hope this helps

Fiesta28 [93]4 years ago

3 0

The answer is 4*10*10. Your final answer is 400

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Expand and simplity 4(2x - 1)3(2x 5) Plzz help me

k0ka [10]

Answer:

240^2 - 120x

Step-by-step explanation:

4(2x - 1) x 3 x (2x 5)

4(2x - 1) x 3 x (10x)

4(2x - 1) x 3 x 10x

120x x (2x-1)

240^2 - 120x

7 0

3 years ago

One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number o

Zielflug [23.3K]

To be clear, the given relation between time and female population is an integral:
 $t = \int { \frac{P+S}{P[(r - 1)P - S]} } \,
dP$

The problem says that r = 1.2 and S = 400, therefore substituting:
 $t = \int { \frac{P+400}{P[(1.2 - 1)P - 400]}
} \, dP$ 

= $
\int { \frac{P+400}{P(0.2P - 400)} } \, dP$

In order to evaluate this integral, we need to write this rational function in a simpler way:
 $\frac{P+400}{P(0.2P - 400)} = \frac{A}{P} +
\frac{B}{(0.2P - 400)}$ 

where we need to evaluate A and B. In order to do so, let's calculate the LCD:
 $\frac{P+400}{P(0.2P - 400)} = \frac{A(0.2P -
400)}{P(0.2P - 400)} + \frac{BP}{P(0.2P - 400)}$ 

the denominators cancel out and we get:
P + 400 = 0.2AP - 400A + BP
 = P(0.2A + B) - 400A

The two sides must be equal to each other, bringing the system:
 $\left \{ {{0.2A + B = 1} \atop {-400A =
400}} \right.$ 

Which can be easily solved:
 $\left \{ {{B=1.2} \atop {A=-1}} \right.$ 

Therefore, our integral can be written as:
 $t = \int { \frac{P+400}{P(0.2P - 400)} } \,
dP = \int {( \frac{-1}{P} + \frac{1.2}{0.2P-400} )} \, dP$ 
= $- \int { \frac{1}{P} \, dP +
1.2\int { \frac{1}{0.2P-400} } \, dP$ 
= $- \int { \frac{1}{P} \, dP +
6\int { \frac{0.2}{0.2P-400} } \, dP$ 
= - ln |P| + 6 ln |0.2P - 400| + C

Now, let’s evaluate C by considering that at t = 0 P = 10000:
0 = - ln |10000| + 6 ln |0.2(10000) - 400| + C
C = ln |10000| - 6 ln |1600|
C = ln (10⁴) - 6 ln (2⁶·5²)
C = 4 ln (10) - 36 ln (2) - 12 ln (5) 
 Therefore, the equation relating female population with time requested is:
t = - ln |P| + 6 ln |0.2P - 400| + 4 ln (10) - 36 ln (2) - 12 ln (5)

8 0

3 years ago

In the scale drawing what will the length of the West side of the back years be?

meriva

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Graph g(x) = |x-4| +3

statuscvo [17]

The answer is (x77)(272)

7 0

3 years ago

If 3 apples cost $6, how much would 12 apples cost?

zhenek [66]

So 3 apples=6 dollars
therefor if we divide both sides by 3
1 apple=2 dollares

so therfor for every 1 apple, you pay 2 dollars

so if 12 apples
12 times 2=24
24 dollars

anonther way is
3 apples=6 dollars
6 apples=12 dollars
9 apples= 18 dollars
12 apples= 24 dollars

4 0

4 years ago

Read 2 more answers