1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marin [14]
3 years ago
9

The volume (in cubic feet) of a room is represented by 12z3−27z12z3−27z. find expressions that could represent the remaining dim

ensions of the room when the length (in feet) is represented by 2z−32z−3.

Mathematics
2 answers:
ratelena [41]3 years ago
6 0
The volume of a room = length * width * height
                                    =12z³-27z
And by the analysis:
     The volume = 12z³-27z
                          = ( 3z ) ( 4z²-9 )              ⇒ by taking (3z) common
                          = ( 3z )( 2z+3 )( 2z-3 )    ⇒ <span>the difference between two squares

So </span><span>the dimensions of the room will be 3z , 2z+3 , 2z-3
---------------------------------------------------------------------------
I have attached tha problem
</span>

Andrew [12]3 years ago
6 0
The <u>correct answers</u> are:

3z and 2z+3.

Explanation:

Volume is found by multiplying length, width and height.  To use the volume and length to find the width and height, we would work backward and divide:

\frac{12z^3-27z}{2z-3}

We can factor to work this division out.  

In the numerator, we find the GCF first.  Both terms are divisible by 3 and z, so we factor out 3z.  When we do this, we divide both terms by 3z to finish the numerator:
12z³/3z = 4z²;
-27z/3z = 9

This gives us:
\frac{3z(4z^2-9)}{2z-3}

4z²-9 is the difference of squares; using this to factor, we have:
\frac{3z(2z-3)(2z+3)}{2z-3}

We have 2z-3 in both the numerator and denominator, so it will cancel out.  This leaves us:

3z(2z+3)

This means one of the factors, 3z, is one dimension, and the other factor, 2z+3, is the other dimension.
You might be interested in
Someone pls help me with this I will make you brain
Marta_Voda [28]

Answer:

(7, 0) The pool will be Empty

Step-by-step explanation:

It's leaking 5 liter each minute, by the time it gets to 7 minutes, it'll be empty

I think

6 0
2 years ago
Read 2 more answers
If 89 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would di
cricket20 [7]

Answer:

0.6836

Step-by-step explanation:

(weight - mean weight) = 48

Variance, s² = 204,304

Sample size, n = 89

We need to obtain the Zscore :

Zscore = (X - mean) / standard Error

Zscore = (weight - mean weight ) / (s/√n)

s = √204304 = 452

The difference from the meanncoukdnbe either to the right or left :

Zscore = - 48 / (452/√89) OR 48 / (452/√89)

Zscore = - 48 / 47.911904 OR - 48 / 47.911904

Zscore = - 1.002 or 1.002

P(Z < - 1.002) = 0.1582 (using Z table)

P(Z < 1.002) = 0.8418

P(Z < 1.002) - P(Z < - 1.002)

0.8418 - 0.1582

= 0.6836

6 0
3 years ago
100 textbooks increased by 99%
Gala2k [10]
<span>100 textbooks increased by 99%

Do this:

First, make 99% a decimal, to do this, you must divide 99 by 100

you get 0.99

multiply 0.99 by 100

you get 99

then, add 99 to 100 and you get 199

so the total sum is 199!!


Hope this helped!
</span>
5 0
3 years ago
A county's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponential
aliina [53]
Let t=number of years since 1991.
Then 
P(t)=147 e^(kt)   ... in millions
P(0)=147 e^(0)=147
P(7)=147 e^(7k)=153
e^(7k)=(153/147)
take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715

Year 2017=>t=2017-1991=26
P(26)=147e^(26*.005715)=170.55
Answer: in 2017, the projected population is 170.55 millions.
6 0
3 years ago
The difference of six times a number and 7 is -49
gtnhenbr [62]
Greetings!

"<span>The difference of six times a number and 7 is -49"...

In number and variables, this would be:
</span>6x-7=-49&#10;
<span>
Add 7 to both sides.
</span>(6x-7)+7=(-49)+7
<span>Simplify.
</span>6x=-42
Divide both sides by 6.
(6x)/6=(-42)/6
Simplify.
x=-7

Hope this helps.
-Benjamin
5 0
3 years ago
Other questions:
  • I need someone to factor this and show me the steps
    13·2 answers
  • The graph shows the processing speeds of computers as a function of time since 1980.
    12·1 answer
  • Three girls (Zeva, Abby and Jenny) went to the hair salon. Each girl had their hair styled (curly, straight, and wavy) and color
    14·1 answer
  • PLEASE HELP ASAP. Please
    7·1 answer
  • Can i get a list of common factors of 24 30 42
    6·1 answer
  • What are three sets of relatively prime numbers
    13·2 answers
  • A white-tailed deer can sprint at speeds up to 39 miles per hour american bison can run at speeds up to 3520 feet per minute whi
    7·1 answer
  • On graph paper, draw diagrams of a+a+a+a and 4a when a is 1, 2, and 3. What do you notice?
    10·2 answers
  • 39) Solve the inequality: 4(x+5)≤116<br> A. x≤−51<br> B. x≤−40<br> C. x≤24<br> D. x≥24
    11·1 answer
  • Please help me please (Brainliest)<br> Both plz
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!