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2 years ago

Product of 6 and 6r and the product of 8s and 4

1 answer:

4 0

Product tells us we’re going to multiply.

6 x 6r = 36r

8s x 4 = 32s

We don’t have a number value to substitute in for r or s, so we just leave those variables as they are.

LMK if you have questions

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Find the solution to the differential equation dx/dy+y/3=0 subject to the initial conditions y(0)=12.

ycow [4]

$\dfrac{\mathrm dx}{\mathrm dy}+\dfrac y3=0\iff\mathrm dx=-\dfrac y3\,\mathrm dy$
$\implies\displaystyle\int\mathrm dx=-\frac13\int\mathrm y\,dy$
$\implies x=-\dfrac16y^2+C$

Given that $y(0)=12$ , we have

$0=-\dfrac16(12)^2+C\implies C=24$

So the particular solution to the initial value problem is

$x=-\dfrac16y^2+24\iff y^2=144-6x$

8 0

2 years ago

SOLVE THIS <br>VERY IMPORTANT QUESTION

tester [92]

Answer:

Step-by-step explanation:

$\dfrac{Cos \ A}{1 + Sin \ A}=\dfrac{Cos \ A *(1-Sin \ A)}{(1+Sin \ A)(1 - Sin \ A)}\\\\\\=\dfrac{Cos \ A *(1 - Sin \ A)}{1^{2}-Sin^{2} \ A}\\\\\\=\dfrac{Cos \ A *(1 - Sin \ A)}{Cos^{2} \ A}\\\\\\=\dfrac{1-Sin \ A}{Cos \ A}$ ------(I)

$LHS =\dfrac{Cos \ A}{1+Sin \ A}+\dfrac{1+Sin \ A}{Cos \ A}\\\\\\ = \dfrac{1-Sin \A}{Cos \ A}+\dfrac{1+Sin \ A}{Cos \ A} \ [from \ equation \ (I)]\\\\\\=\dfrac{1-Sin \ A + 1 - Sin \ A}{Cos \ A}\\\\=\dfrac{2}{Cos \ A}\\\\\\=2*Sec \ A = RHS$

3 0

2 years ago

HELP PLZ<3

Olegator [25]

Answer:

82991 employees

Step-by-step explanation:

One way to solve this would be to solve for 1% of the company's employees and use that value to solve for 100% (100%=the whole part, or the total). We know that

28300 = 34.1%

If we divide a number by itself, it turns into 1. Dividing both sides by 34.1, we get

829.912 = 1%

Then, we know that anything multiplied by 1 is equal to itself. We want to figure out 100%, or the whole part, so we can multiply both sides by 100 to get

100% = 82991

7 0

2 years ago

Glen hiked 14 miles in 4 hours. What was his average rate of speed?

Daniel [21]

3.5 miles per hour :) hopefully this helps!

8 0

3 years ago

Which is the denominator and which is the numerator?

Mashcka [7]

Hey there!

<span>The numerator is the top part of the fraction and the denominator is the bottom part of the fraction. </span>

For example, in the fraction $\frac{1}{2}$ , 1 would be the numerator and 2 would be the denominator.

Thank you!

7 0

3 years ago