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KIM [24]
3 years ago
7

What is the quotient of (-8x^6/4x^-3)? A.)x^9/32 B.)4x^9 C.)-12/x^2 D.)–2x^9

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

Answer: D

<u>Explanation:</u>

  \frac{-8x^{6}}{4x^{-3}}

= \frac{-8}{4} x^{6-(-3)}

= -2x⁹

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Can someone tell me whats 3\4x5\6 is im dum
Anastaziya [24]

Answer:

15/24

Step-by-step explanation:

hope this helps u.

4 0
3 years ago
Read 2 more answers
Dorothy types 120 words per minute. How many words does Dorothy type in 1.75 minutes?
nirvana33 [79]
As you are looking for 1.75 minutes (or 105 seconds), the best thing to do is to find how many words she can type in 0.25 minutes (this is a quarter, and you can divide 1.75 by this). To find a quarter, you have to divide by 4, 120/4= 30. Therefore, every 15 seconds, Dorothy can type 30 words. As you've got 105 seconds, divide this by 15, and this gives you 7. Then multiply 30 by 7, and this gives you 210.
Dorothy can type 210 words in 1.75 minutes
Hope this helps :)  
8 0
3 years ago
Read 2 more answers
PLS HELP ASAP find the measure of side b. round to the nearest whole number
ludmilkaskok [199]

Answer:

b=204

Step-by-step explanation:

The law of sine states that: \frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}

We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle: 180-90-41=49°.

Using these two things, we can come up with the equality \frac{Sin90^{o} }{270} =\frac{Sin49^o}{b}, which we can use to solve for side b.

\frac{Sin90^o}{270} =\frac{1}{270}, so we know that \frac{1}{270} =\frac{Sin49^o}{b}.

Next, we would multiply both sides by b to get \frac{1}{270}b=Sin49^o.

Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77

Since the problem asks us to round to the nearest whole number, b=204

Hope this helps! :)

3 0
2 years ago
Rounded to the nearest hundred cubic meters, what is the total capacity (cone and cylinder) of the storage container?
hichkok12 [17]
The picture in the attached figure

we know that
the total capacity of the storage container=volume of a cone+volume of cylinder

step 1
find the volume of a cone
volume of a cone=(1/3)*pi*r²*h
r=6 m
h=8 m
so
volume=(1/3)*pi*6²*8-----> 301.44 m³

step 2
find the volume of the cylinder
volume of a cylinder=pi*r²*h
r=6 m
h=10 m
s6
volume=pi*6²*10----> 1130.40 m³

total volume=301.44+1130.4-----> 1431.84 m³-------> 1400 m³

the answer is
1400 m³

5 0
3 years ago
Please help calculus question urgent
timurjin [86]

Answer:

C

Step-by-step explanation:

We are given that:

\displaystyle k(x)=\frac{f(x)}{g(x)}

And we want to find k'(3).

So, let's find k'(x). Take the derivative of both sides. This will require the Quotient Rule. Hence:

\displaystyle k^\prime(x)=\frac{f^\prime(x)g(x)-f(x)g^\prime(x)}{(g(x))^2}

We want to find k’(3). Substitute:

\displaystyle k^\prime(3)=\frac{f^\prime(3)g(3)-f(3)g^\prime(3)}{(g(3))^2}

Using the table, make the appropriate substitutions:

\displaystyle k^\prime(3)=\frac{5(2)-(-1)(-2)}{(2)^2}

Evaluate:

\displaystyle k^\prime(3)=\frac{10-2}{4}=\frac{8}{4}=2

Therefore, our answer is C.  

8 0
3 years ago
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