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zavuch27 [327]
3 years ago
8

Please help I will mark Brinley

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
4 0
Yea I think it’s e not 100% tho
Delvig [45]3 years ago
3 0

Answer:

I'm pretty sure it's E.

Step-by-step explanation:

I'm hope this helped!

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What is the value of f(x) = 5x + 1 at f(-4) ? A) -19 1 C) 21 D) -21​
Radda [10]

Answer:

A) -19

Step-by-step explanation:

what its saying is to plug in -4 as x

5 x -4 + 1

-20 + 1 = -19

8 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:<span>
</span>t = \int { \frac{P+S}{P[(r - 1)P - S]} } \,&#10;dP<span>

</span>

<span>The problem says that r = 1.2 and S = 400, therefore substituting:<span>
</span>t = \int { \frac{P+400}{P[(1.2 - 1)P - 400]}&#10;} \, dP<span>

</span>= <span><span>&#10;\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:
</span>\frac{P+400}{P(0.2P - 400)} = \frac{A}{P} +&#10;\frac{B}{(0.2P - 400)}</span><span>

</span>where we need to evaluate A and B. In order to do so, let's calculate the LCD:<span>
</span>\frac{P+400}{P(0.2P - 400)} = \frac{A(0.2P -&#10;400)}{P(0.2P - 400)} + \frac{BP}{P(0.2P - 400)}<span>

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

</span>The two sides must be equal to each other, bringing the system:<span>
</span>\left \{ {{0.2A + B = 1} \atop {-400A =&#10;400}} \right.<span>

</span>Which can be easily solved:<span>
</span>\left \{ {{B=1.2} \atop {A=-1}} \right.<span>

</span>Therefore, our integral can be written as:<span>
</span>t = \int { \frac{P+400}{P(0.2P - 400)} } \,&#10;dP = \int {( \frac{-1}{P} + \frac{1.2}{0.2P-400} )} \, dP<span>
</span>= - \int { \frac{1}{P} \, dP +&#10;1.2\int { \frac{1}{0.2P-400} } \, dP<span>
</span>= - \int { \frac{1}{P} \, dP +&#10;6\int { \frac{0.2}{0.2P-400} } \, dP<span>
</span>= - ln |P| + 6 ln |0.2P - 400| + C<span>

</span>Now, let’s evaluate C by considering that at t = 0 P = 10000:<span>
</span>0 = - ln |10000| + 6 ln |0.2(10000) - <span>400| + C
C = ln |10000</span>| - 6 ln |1600|<span>
</span>C = ln (10⁴) - 6 ln (2⁶·5²)<span>
</span>C = 4 ln (10) - 36 ln (2) - 12 ln (5) <span><span>
</span></span><span><span> </span>Therefore, the equation relating female population with time requested is:<span>
</span><span>t =  - ln |P| + 6 ln |0.2P - 400| + 4 ln (10) - 36 ln </span>(2) - 12 ln (5)</span></span>
8 0
3 years ago
I need help again, can someone help me?
Nitella [24]

Answer:

9 x 10 to the 15th power.

Step-by-step explanation:

I hated I-ready. Good luck!!!

4 0
3 years ago
Read 2 more answers
How to add elementary fractions step by step
kobusy [5.1K]
1/2+4/10 for example
in a decimal way: 1/2+4/10 = 0.5+0.4. add those two and it is 0.9
in a fraction: 1/2+4/10 = 5/10+4/10. add the numerators, which is 9, and you keep the denominator so it is 9/10
3 0
4 years ago
When can a law or theory be changed?
Tom [10]
It can be changed after experimenting and testing to see if something else is better than the current.    :-]
3 0
3 years ago
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