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Nataliya [291]
3 years ago
14

Simplify !! answer choices: 4^5/6 4^3/2 4^1/6 4^1/3

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

C

Step-by-step explanation:

In the attached file

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Multiply and simplify (x-9)(x-3)
Volgvan

Answer:

x2-12x+3

Step-by-step explanation:

=x(x-3)-9(x-3)

=x2-3x-9x+3

=x2-12x+3

7 0
3 years ago
Read 2 more answers
The figure shown below is composed of a semicircle and a non-overlapping equilateral triangle and contains a hole that is also c
Sloan [31]

Check the picture below.

since we know the radius of the larger semicircle is 8, thus its diameter is 16, which is the length of one side of the equilateral triangle.  We also know the smaller semicircle has a radius of 1/3, and thus a diameter of 2/3, namely the lenght of one side of the small equilateral triangle.

now, if we just can get the area of the larger figure and the area of the smaller one and subtract the smaller from the larger, we'll be in effect making a hole/gap in the larger and what's leftover is the shaded figure.

\bf \stackrel{\textit{area of a semi-circle}}{A=\cfrac{1}{2}\pi r^2\qquad r=radius}~\hspace{10em}\stackrel{\textit{area of an equilateral triangle}}{A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\stackrel{side's}{length}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\left[ \stackrel{\textit{larger figure}}{\cfrac{1}{2}\pi 8^2~~+~~\cfrac{16^2\sqrt{3}}{4}} \right]\qquad -\qquad \left[ \cfrac{1}{2}\pi \left( \cfrac{1}{3} \right)^2 +\cfrac{\left( \frac{2}{3} \right)^2\sqrt{3}}{4}\right]}

\bf \left[ 32\pi +64\sqrt{3} \right]\qquad -\qquad \left[ \cfrac{\pi }{18}+\cfrac{\frac{4}{9}\sqrt{3}}{4} \right] \\\\\\ \left[ 32\pi +64\sqrt{3} \right]\qquad -\qquad \left[ \cfrac{\pi }{18}+\cfrac{\sqrt{3}}{9} \right]~~\approx~~ 211.38 - 0.37~~\approx~~ 211.01

3 0
3 years ago
The number of errors in a textbook follow a poisson distribution with a mean of 0.01 errors per page. what is the probability th
neonofarm [45]
Mean number of errors in each page = 0.01
Mean number of errors in 100 pages = 0.01*100=1

It is possible to use the cumulative distribution function (CMF), but the math is a little more complex, involving the gamma-function.  Tables and software are available for that purpose.

Thus it is easier to evaluate with a calculator for the individual cases of k=0,1,2 and 3.

The Poisson distribution has a PMF (probability mass function) 
P(k):=\frac{\lambda^ke^{-\lambda}}{k!}
with λ = 1
=>
P(0):=\frac{1^0e^{-1}}{0!}=0.3678794
P(1):=\frac{1^1e^{-1}}{1!}=0.3678794
P(2):=\frac{1^2e^{-1}}{2!}=0.1839397
P(3):=\frac{1^3e^{-1}}{3!}=0.0613132
=>
P(k
or
P(k<=3)=0.9810 (to four decimal places)
3 0
3 years ago
HELP!!!
AfilCa [17]
<span>1.
-x = 2 - 3x + 6
-x + 3x = 8
2x = 8
x = 8/2
x = 4

2.
</span><span>Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x   </span>←  wrong
The correct step: <span>Step 2: 6x − 8 = 12 + 2x

3.
</span>The next step is <span>2m = 8</span>
3 0
3 years ago
Read 2 more answers
What is the answer to 2/3 of something equals 10
denis23 [38]
In math, when you see the word "of" it usually means "times".

So the question is:

        <u>2/3 times something = 10</u>

Multiply each side of the equation by 3 :

             2 times something = 30

Divide each side by 2 :

                        <em>  something = 15</em>
7 0
3 years ago
Read 2 more answers
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