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3 years ago

Convert the decimal to a percent.

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

$0.007 \cdot100\%=0.7\%$

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What is 14ab+10a written in factored form?

svp [43]

Answer:

2a(7b+5)

Step-by-step explanation:

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5 0

2 years ago

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(5ab-9a-4) - (-4ab + 5)

qaws [65]

Answer:

9ab - 9a +1

Step-by-step explanation:

first, we can distribute the negative sign to the second set of parentheses.

-(-4ab + 5) becomes + 4ab - 5

now let's put the values in (5ab-9a-4) side by side with the corresponding values in + 4ab - 5

5ab + 4ab - 9a - 4 - 5

= 9ab - 9a - 9, because 5ab + 4ab = 9ab, -9a is alone, and -4 - 5 = -9.

8 0

3 years ago

Which of the following are solutions to the equation below?

WARRIOR [948]

$\\ \rm\bull\rightarrowtail x^2-3x+27=6x+7$

$\\ \rm\bull\rightarrowtail x^2-3x-6x+27-7=0$

$\\ \rm\bull\rightarrowtail x^2-9x+20=0$

$\\ \rm\bull\rightarrowtail x^2-5x-4x+20=0$

$\\ \rm\bull\rightarrowtail x(x-5)-4(x-5)=0$

$\\ \rm\bull\rightarrowtail (x-4)(x-5)=0$

$\\ \rm\bull\rightarrowtail x=4,5$

4 0

2 years ago

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Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = −0.01p2 + 9p, where p and f(p)

Nimfa-mama [501]

Answer:

The population that gives the maximum sustainable yield is 45000 swordfishes.

The maximum sustainable yield is 202500 swordfishes.

Step-by-step explanation:

Let be $f(p) = -0.01\cdot p^{2}+9\cdot p$ , the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)

First Derivative Test

$f'(p) = -0.02\cdot p +9$

Let equalize the resulting expression to zero and solve afterwards:

$-0.02\cdot p + 9 = 0$

$p = 450$

Second Derivative Test

$f''(p) = -0.02$

This means that result on previous part leads to an absolute maximum.

The population that gives the maximum sustainable yield is 45000 swordfishes.

The maximum sustainable yield is:

$f(450) = -0.01\cdot (450)^{2}+9\cdot (450)$

$f(450) =2025$

The maximum sustainable yield is 202500 swordfishes.

6 0

3 years ago

Number 6. I have no idea how to do this because the question doesn’t give enough information

Savatey [412]

${13}^{2} = {5}^{2} \times {b}^{2} \\ 169 = 25 \times {b}^{2} \\ 165 - 25 = {b}^{2} \\ 144 = {b}^{2} \\ \sqrt{ {b}^{2} } = \sqrt{144} \\ b = 12$

3 0

3 years ago