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
Zielflug [23.3K]
3 years ago
12

When 27 times x squared times z all over negative 3 times x squared times z to the fourth power is completely simplified, the ex

ponent on the variable z is _____.
Numerical Answers Expected!
I have attached a picture of the problem so it's easier to read.
Mathematics
1 answer:
Kisachek [45]3 years ago
6 0

Step-by-step explanation: Isolate z by itself:

To simplify variables with powers, subtract the smaller power from the bigger power:

The exponent will be -3

You might be interested in
The Target heart rate for fit person of age a exercising at p percent of his or her heart rate is determined by the expression 1
natita [175]

Answer: 9p - 1.5a

Step-by-step explanation:

Your maximum heart rate is about 220 minus your age. But it varies base on age category.

Target heart rate during moderate intensity activities is about 50-70% of maximum heart rate.

According to the question;

Target heart rate for

women = 1/2p(418-4a)

= 209p - 2a ....... (1)

men = 1/2p(400-a)

= 200p - 0.5a .......(2)

To find the difference between the target heart rates for a fit woman and a fit man, take equation 1 from equation 2

(209p - 2a) - (200p - 0.5a)

209p - 2a - 200p + 0.5a

9p -1.5a

7 0
4 years ago
Use distributive law to factor the given expression: 3+21a+15b
Reil [10]

Answer:

3(1+7a+5b)

Step-by-step explanation:

The distributive law states that

a\cdot (b+c)=a\cdot b+a\cdot c.

The expression 3+21a+15b consists of three terms:

  1. 3=3·1;
  2. 21a=3·7a;
  3. 15b=3·5b.

You can see that 3 is the common factor of these three terms, thus

3+21a+15b=3(1+7a+5b).

6 0
4 years ago
Please help I have a sucky teacher and don’t know what to do
Katyanochek1 [597]

Answer:

  1, 4, 3, 6, 2, 7, 5

Step-by-step explanation:

The circle operator in f\circ g means that the function named on the left (f) operates on the result of the function named on the right (g). So, the notation

  (f\circ g)(x)

means

  f(g(x))

That is, g(x) is computed and used as input to the function f. When the function definitions are as shown, the evaluation proceeds in these steps.

  (f\circ g)(-4)\\\\=f(g(-4))\quad\text{write as function of a function}\\\\=f(-2(-4)^2)\quad\text{put -4 for x in $g(x)$}\\\\=f(-2(16))\quad\text{evaluate $(-4)^2$}\\\\=f(-32)\quad\text{evaluate $g(-4)$}\\\\=2(-32-1)\quad\text{put -32 for x in $f(x)$}\\\\=2(-33)\quad\text{first step evaluating $f(-32)$}\\\\=-66\quad\text{value of $(f\circ g)(-4)$}

__

If your step choices at the bottom are numbered 1 to 7 left-to right, then the sequence is as shown in the Answer section above.

4 0
3 years ago
samantha has 20 marbles paul has m marbles. Of samantha has 6 times as many marbles as paul, write an equation to show how many
Morgarella [4.7K]

Answer:

20 = 6m  or  m = 20/6 = 10/3

Step-by-step explanation:

Let's say Samantha has s marbles and Paul has m marbles.

We know that s = 20 and that Samantha has 6 times as many marbles as Paul. This means s = 6m.

Substitute 20 in for s:

20 = 6m

m = 20/6

Thus, the equation is m = 20/6.

<em>~ an aesthetics lover</em>

7 0
3 years ago
Read 2 more answers
Can someone please explain?
AlladinOne [14]
<h2>Hello!</h2>

The answer is:

The correct option is the first option:  

y=-4x+64

<h2>Why?</h2>

To write the equation of the line in slope-interception  form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

y=mx+b

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

m=\frac{ChangeInY}{ChangeInX}

Which is for this case:

m=\frac{64}{16}=4

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

m=-4

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at:  y=64

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

y=mx+b=-4x+64\\y=-4x+64

So, the correct option is the first option:

y=-4x+64

Have a nice day!

4 0
3 years ago
Other questions:
  • How can you tell that a fraction corresponds to a repating decimal and not a terminating decimal
    15·1 answer
  • Jake bout 14.5 pounds of dried navy beans for 25.52 what is the price per pound of the beans
    12·2 answers
  • A train travels 240 miles at a speed of 80 miles per hour. on the way back the train slows to 40 miles per hour. what is the ove
    12·1 answer
  • Triangle ABC is congruent to triangle DFE. Find x.
    12·1 answer
  • -3+m --------- = 10 9
    15·1 answer
  • Help me please, an explanation would be nice as well
    10·1 answer
  • Help is very much needed. Please help meee outtt!!
    14·1 answer
  • Factorise x2+3x-4. please
    13·1 answer
  • The average score on the Stats midterm was a 79 with a standard deviation of 6 points. Joseph's z score was 1. Ashley's z-score
    10·1 answer
  • Can anyone please solve this for me right now?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!