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
IRISSAK [1]
3 years ago
8

(xm.x2)3(k3)5 = x21k15 Find the Value of M

Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0

Answer:

m=5

Step-by-step explanation:

Given:

([(x^m) (x^2)]^3) ([k^3)^5]= (x^21)(k^15)

we can simplify this equation by understanding what operation that was applied to the x and k variables

we can pridect that they were using the multiplication method of exponents by distribution as follows:

if we look at x^21 at the right side of the equation then we shold have the same nuber of x multiples such that:

21= (3)(7) but if we look at the right hand side we have some missing information but we can still use the multiplication of the exponent and subtract it from the right hand side as follows:

first distribute 3 for both x's in the left hand side:

(x^m)^3= x^(3)(m)

and

(x^2)^3= x^(2)(3)

⇒will give us:

(x^3m)(x^6)=(x^21)

let us now check by ignoring the x's and use the exponents in the form of an equation:

(3m)+(6)=21

move 6 to the right side

3m = 21-6

3m=15

m= 15/3

m=5

so, by substituting 5 with m at the original equation we will get:

(x^5(3)) (x^6) = x^21

(x^15)(x^6)=x^21

that applies the same rule to the variable k

k^3(5)=k^15

You might be interested in
1) Solve 2 + 7x + 12 = 0 using factoring and the zero product property.
Kazeer [188]

Answer:

7x+14=0, 7x=-14, x= -2

Step-by-step explanation:

add like terms, then get x on one side, number on the other, then divide both sides by 7

4 0
3 years ago
PLEASE HELP MEEEEEE PLEASEEEEEEEE!!!!!! IM TIMED
PIT_PIT [208]
D
It makes sense. At most means equal or less than. The 10 per hour has a variable.
8 0
2 years ago
Read 2 more answers
Erin writes the set of ordered pairs below. The set represents a function.
tino4ka555 [31]
Point A shows that she is incorrect.
With functions, you can perform the "straight line test through each point. If the line goes through both points, you know it's not a function.
If we plotted point A, it'd fail the straight line test because the given point (-6, 7) already has -6 as an x value.
Hope this helps!
7 0
3 years ago
- 3 + 3x = 2x – 13 <br><br> I have to use more characters...
DENIUS [597]

- 3 + 3x = 2x – 13

Bring -3 to the right side of the equation by adding 3 to both sides

(- 3 + 3) + 3x = 2x – 13 + 3

0 + 3x = 2x - 10

3x = 2x - 10

Bring 2x to the other side by subtracting 2x to both sides

3x - 2x = 2x - 2x - 10

x = -10

Check:

-3 + 3(-10) = 2(-10) - 13

-3 + (-30) = -20 - 13

-33 = -33

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0
3 years ago
PLEASE HELP‼️‼️Drag the expression that is the most reasonable measurement for each object.
Afina-wow [57]

Answer:

<em>A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters</em>

<em />

<em>B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters</em>

<em />

<em>C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers</em>

<em />

<em>D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers</em>

Explanation:

<u><em>A. Length of a tour bus.</em></u>

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10meters = 11 meters. Thus, this is a reasonable length.

<u><em>B. Width of an apple.</em></u>

The most appropiate unit to measure the width of an apple should be centimer. It certanly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4centimeters.

<u><em>C. Distance from Earth to a Satellite</em></u>

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is notreasonalbe (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

<u><em></em></u>

<u><em>D. Thickness of a human hair</em></u>

Of course, kilometers, meters, centimeters and even milimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ milimeters.

In the internet you can find that diameter of the humar hairis in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement fot the thickness of a human hair.

7 0
3 years ago
Other questions:
  • N an
    7·1 answer
  • In triangle QRS the measurement of an angle RSQ is 29.1 and the measure of angle QRS is 80 degrees what is the measurement of sq
    15·1 answer
  • Marlon and Michelle have to graph a function with the equation y=x2and are having to debate about which is the most important el
    6·1 answer
  • - Which set of numbers contains only
    7·2 answers
  • The owner of the theater in item 18 wants to make at least $400 at each performance. Let x be the nunber of adult tickets. And y
    5·1 answer
  • Please help!! Which of the following is equal to the rational expression when x ≠ 2 or -4? 5(x-2)/(x-2)(x+4)
    5·1 answer
  • Help please I give thanks
    10·1 answer
  • 19 Jaime bounces a basketball 30 times in 25 seconds. At that rate,
    6·1 answer
  • Select all expressions that are equivalent to 2 · 2 · 2 · 2 · 2 · 2
    13·2 answers
  • Plz help me plzz i need it
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!