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
Valentin [98]
3 years ago
13

Which expression is equivalent to the given expression. pls help :)

Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

Answer:

B

Step-by-step explanation:

\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\(a^{m})^{n} =a^{mn}

\frac{(4m^{2}n)^{2}}{2m^{5}n}=\frac{4^{2}(m^{2})^{2}n^{2}}{2m^{5}n}\\\\\\=\frac{16m^{4}n^{2}}{2m^{5}n}\\\\\\=\frac{8m^{4}n^{2}}{2m^{5}n}\\\\\\=8m^{(4-5)}n^{(2-1)}\\\\\\=8m^{-1}n

You might be interested in
y is directly proportional to the positive square root of( x+2)² when x = 8 y= 250 find y when x = 4​
gulaghasi [49]

Answer:

150

Step-by-step explanation:

Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that

y=ksqrt((x+2)^2)

We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.

250=ksqrt((8+2)^2)

250=ksqrt((10)^2)

250=k10

250/10=k

25=k

So for any pair (x,y) we have the relation y=25((x+2)^2).

We are asked to find y when x=4.

y=25((4+2))^2

y=25(6)

y=150

Test to see if y is proportional to sqrt((x+2)^2)

For the given points: 250/150=10/6

The equation is true so we're great.

5 0
3 years ago
What is the y-intercept for the graph of the equation 3x-5y=15​
rusak2 [61]

Answer:

<h2>           (0, -5)</h2>

Step-by-step explanation:

We need to convert function to slope-intrcept form y=mx+b, where:

3x - 5y = 15​           {subtract 3x from both sides by 20}

-5y = -3x + 15                    {divide both sides by (-5)}

y = 3/5x - 5     ⇒   <u> b = -5 </u>

Therefore y-intercept of the line is (0, -5)

7 0
3 years ago
Graph the function f(x)=32x−4. Use the line tool and select two points to graph.
muminat

Answer:

I believe the points (0,-4) and (1,28) work. You can also use (0.125,0) if you can.

4 0
4 years ago
Read 2 more answers
Megan’s TV had a base price of $189 and the sales tax was 6.88%. Over the next four years, the TV consumed an average of $0.06 o
Leni [432]

Answer:

Step-by-step explanation:

price of tv and sales tax = 1.0688×$189 = $202.0032 ≅ $202.00

4 years = 3×365 days + 366 days = 1461 days

cost of electricity = 1461 days × $0.06/day = $87.66

lifetime cost = purchase price + electricity + repairs

= $202.00 + $87.66 + 2·$29

= $347.66

8 0
3 years ago
Read 2 more answers
Graph a sine function whose amplitude is 4, period is π , midline is y=−3, and y-intercept is (0, −3). The graph is not a reflec
kupik [55]

Answer:

y=4sin(2x) - 3

Step-by-step explanation:

Recall the form of a sinusoidal function is Asin(Bx + C) + D, where A is the amplitude, B is the frequency (could also be viewed as the period), C is the horizontal (phase) shift, and D is the vertical shift. Also, recall sin(x) has a period of 2π.

You start with the parent function (sin(x)).

Then, knowing the amplitude is 4: 4sin(Bx + C) + D

Then, knowing the period of the regular sine function is 2π, to get to a period of π, divide by 2 (the period of the curve changes by a factor of 1/2), so your B coefficient is 2: 4sin(2x + C) + D

There is no phase shift, so omit C: 4sin(2x) + D

Since the midline is y = -3, that is your vertical shift (D): 4sin(2x) - 3

Graph of y = 4sin(2x) - 3 is below:

3 0
3 years ago
Other questions:
  • The surface areas of two similar rectangular prisms are 361 m2 and 441 m2. What is the scale factor of the larger prism to the s
    11·1 answer
  • Which of the following pairs of lines are perpendicular? Select all that apply
    10·1 answer
  • 17,34,35,70,71,142,143,_,_,_ find the next three numbers
    10·2 answers
  • Savanna is ordering crafts for Thanksgiving for her class. Each individual craft cost $1.50. There are a shipping fee and handli
    9·1 answer
  • Please please please helppppppppp
    8·1 answer
  • ...what are consecutive multiples ​
    7·1 answer
  • The relationship between the intensity of sound((w)/(m^(2)))and the distance from the source of sound is represented by the equa
    5·1 answer
  • Answer my math question I asked so many times I lost most of points by I gave 4 min to answer hurry
    11·1 answer
  • What is an equivalent ratio to 8:20 and<br> 2:5?
    6·1 answer
  • What is 135% of 62?<br><br><br>A: 8. 37<br><br>B: 83. 7<br><br>C:837<br><br>D:8370
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!