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3 years ago

Can someone please answer!!! I’m on a time limit!!!

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

4 0

Answer:

2.8

Step-by-step explanation:

the formula of volume of cylinder is pi*r^2*h. if you plug in, you get (3.14)(r^2)(8.7). if you solve for r, you get 2.8!

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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

4 0

3 years ago

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SVETLANKA909090 [29]

answer is attached below

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Max wakes up at 7:00am. It take him 10 minutes to get dressed, and 5 minutes to eat breakfast. The bus will pick up max at 7:40a

irinina [24]

Note: I will be using the information in your attachment to answer the question.
Add the minutes to the initial time: 7:00 + 10 minutes + 7 minutes + 5 minutes = 7:22
He will be ready to board the bus at 7:22.
Subtract this time from the time the bus is schedule to pick him up: 7:40 - 7:22 = 18
Max will have 18 minutes before the bus picks him up.

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3 years ago

Write as a single power of 6<br> (6^5)^4

babunello [35]

Answer:

6^20

Step-by-step explanation:

When two indices are in brackets, you just have to multiply them.

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Calculate the rate of change.

liq [111]

Answer:

It is 5/5 or 1/1 as it goes up 5 and to the left 5!!!

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