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
madreJ [45]
2 years ago
10

Which expression is equivalent to 7x , if b > 0?

Mathematics
2 answers:
Lelechka [254]2 years ago
7 0

Answer:

C.

Step-by-step explanation:

7x²×sqrt(2x⁴)×6×sqrt(2x¹²)

we see right away that as constant multiplication factor we have 7×6 = 42.

and then we get from each sqrt expression a sqrt(2), which leads to sqrt²(2) = 2 and therefore 42×2=84.

the only answer option with 84 is C.

now, to be completely sure, and to get some practice, let's look at the other parts :

sqrt(2x⁴) = sqrt(2)×sqrt(x⁴) = sqrt(2)×x²

sqrt(2x¹²) = sqrt(2)×sqrt(x¹²) = sqrt(2)×x⁶

=>

7x²×sqrt(2)×x²×6×sqrt(2)×x⁶ =7×6×2×x²×x²×x⁶ = 84x¹⁰

perfect. C is confirmed.

AlladinOne [14]2 years ago
6 0
<h3>Answer:  Choice C</h3>

Work Shown:

7x^2*\sqrt{2x^4}*6\sqrt{2x^{12}}\\\\7*6x^2*\sqrt{2x^4*2x^{12}}\\\\42x^2*\sqrt{4x^{4+12}}\\\\42x^2*\sqrt{4x^{16}}\\\\42x^2*\sqrt{(2x^8)^2}\\\\42x^2*(2x^8)\\\\42*2x^{2+8}\\\\84x^{10}\\\\

So that's why the answer is choice C

The requirement that x is nonzero isn't technically necessary. The original expression simplifies to choice C even when x = 0 is the case. Also, we don't have issues such as division by zero errors that could arise. It's a bit curious why your teacher put in that condition.

You might be interested in
Java 1
Tanya [424]

Answer:

the anwser is b

Step-by-step explanation:

it is another word for looping

3 0
2 years ago
Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?
Vladimir79 [104]

Answer:

<u>Figure A</u>

Step-by-step explanation:

See the attached figure which represents the given options

We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.

As shown: point A will map to point L, point R will map to point P and point Q will map to point K.

we will check the options:

<u>Figure A</u>: the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.

<u>Figure B: </u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line RA.

<u>Figure C:</u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line QA.

<u>Figure D:</u> the triangle ARQ and LPK can be mapped to each other using a rotation about point A.

So, the answer is figure A

<u>The triangle pairs of figure A can be mapped to each other using a translation and a rotation about point A.</u>

3 0
3 years ago
Read 2 more answers
The box-and-whisker plot below shows the numbers of text messages received in one day by students in the seventh and eighth grad
Leya [2.2K]
<h3><u>Answer with explanation:</u></h3>

From the box and whisker plot of seventh grade we have:

The minimum value =6

First quartile or lower quartile i.e. Q_1 = 14

Median or second quartile i.e. Q_2 = 18

Third quartile or upper quartile i.e. Q_3 =22

and maximum value = 26

From the box and whisker plot of eighth grade we have:

The minimum value =22

First quartile or lower quartile i.e. Q_1 = 26

Median or second quartile i.e. Q_2 = 30

Third quartile or upper quartile i.e. Q_3 = 34

and maximum value = 38

a)

The overlap of the two sets of data is as follows.

  • The upper quartile or third quartile of seventh grade is same as the minimum value of the data of eighth grade.
  • And the maximum value of seventh grade is same as the lower quartile of eighth grade.

b)

IQR is calculated as the difference of the Upper quartile and the lower quartile

i.e. Q_3-Q_1

so, IQR of seventh grade is:

22-14=8

IQR of seventh grade=8

IQR of eighth grade is:

34-26=8

Hence, IQR of eighth grade=8

c)

The difference of the median of the two data sets is:

30-18=12

Hence, the difference of median is: 12

d)

As the IQR of both the sets is same i.e. 8.

Hence, the number that must be multiplied by IQR so that it is equal to the difference between the medians of the two sets is:

8\times n=12\\\\n=\dfrac{12}{8}\\\\n=\dfrac{3}{2}\\\\n=1.5

Hence, the number is : 1.5

6 0
3 years ago
Your restaurant has assets of $45,321 and liabilities of $32,567. What is the equity of your business?
kati45 [8]

45321-32567=12754

The equity of your business is $12,754

4 0
2 years ago
Read 2 more answers
Describe the distribution of the data and if the mean or median would be a better measure of center for each. Include outliers.
Bumek [7]

Answer:

Is there a picture you can take

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • James got 5 questions wrong out of 40 questions what percent of the questions did he get correct
    13·1 answer
  • A coin is flipped 50 times. In those 50 trials, 29 of the flips resulted in heads. What is the experimental probability of a coi
    11·2 answers
  • The length of a rectangle is 4m more than the width.The area of the rectangle is 45 m^2.find the length
    9·1 answer
  • In quadrilateral ABCD, diagonals AC and BD bisect one another: What statement is used to prove that quadrilateral ABCD is a para
    11·1 answer
  • Robin is twice as old as Earl, and in 6 years he will be three times as old as Adam, who is 8 years younger than Earl. Find thei
    14·1 answer
  • What is the solution of the equation
    7·1 answer
  • Find the area of the shaded region​
    5·1 answer
  • Which of the following situations can be modeled by a discrete random variable? Choose ALL that apply.
    12·1 answer
  • 52 rounded to the nearest ten
    5·2 answers
  • A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inche
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!