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defon
3 years ago
11

Mr. Lin received a box of books in the shape of a rectangular prism. The volume of the box is 486 in? What is the width of the

Mathematics
1 answer:
Stels [109]3 years ago
8 0

Answer: The answer is b 9 inches.

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Find all values of the variable
labwork [276]

The values of x for which the rational expression is undefined are -6 and -8.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a rational function:

\rm f(x) = \dfrac{3x+20}{x^2+14x+48}

As we know in the rational function denominator cannot be zero:

The values of x for which the rational expression is undefined.

x² + 14x + 48 = 0

\rm x_{1,\:2}=\dfrac{-14\pm \sqrt{14^2-4\cdot \:1\cdot \:48}}{2\cdot \:1}

\rm x_1=\dfrac{-14+2}{2\cdot \:1},\:x_2=\dfrac{-14-2}{2\cdot \:1}

x = -6, -8


Thus, the values of x for which the rational expression is undefined are -6 and -8.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0
1 year ago
ASAP NEEEEED HELLLLLLLLLP PLZZZ
nadya68 [22]
T = 5 a
i = 4% aa
j = 1200
c = ...
j = cit/100
c = 100j / it
c = 100*1200 / 4*5
c = 120000 / 20
c = 12000/2
c = 6000

montante

M = c+j
M = 6000+1200
M = 7200
7 0
3 years ago
If you flip a fair coin 7 times, what is the probability that you will get exactly 4 tails?
andre [41]

Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: \frac{35}{128}

Step-by-step explanation:

We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.

This is the combination question.

The total combinations will be: 2^7=128

Now, finding number of ways we can get exactly 4 tiles:

We will use the formula:

^nC_k=\frac{n!}{k!(n-k)!}

in our given question, n= 7, k= 4

Putting values:

^nC_k=\frac{n!}{k!(n-k)!}\\^7C_4=\frac{7!}{4!*3!}\\ ^7C_4=\frac{7*6*5*4!}{4!*3!}\\ ^7C_4=\frac{7*6*5}{6}\\ ^7C_4=35

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: \frac{35}{128}

Keywords: Probability

Learn more about Probability at:

  • brainly.com/question/1637111
  • brainly.com/question/2254182
  • brainly.com/question/2264295

#learnwithBrainly

7 0
3 years ago
Engineers want to design brakes that will reduce stopping distances by 10%. How would this change the equation relating speed s,
AlekseyPX
For the answer to the question above,  we will use this formula to solve this problem
<span>d = kv^2 </span>

<span>plugging in, </span>
<span>4.2 = k*10^2 </span>
<span>k = 0.042 </span>

<span>d = 0.042v^2 </span>

<span>the revoised equation will be </span>
<span>d = 0.9*0.042v^2 , i.e. </span>

<span>d = 0.0378v^2 

I hope my answer helped you</span>
8 0
3 years ago
How do you solve this system: y= -3/2x, and 3x+2y=-4 by substitution?
Soloha48 [4]
Download Photomath it will answer it with step by step work
4 0
3 years ago
Read 2 more answers
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