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hoa [83]
3 years ago
5

Which expression is equivalent to/256x10y^7?

Mathematics
1 answer:
jeyben [28]3 years ago
3 0

Answer:

2560xy^7

Step-by-step explanation:

256x10y^7=16²x10y^7 = 2560xy^7

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Solve.<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%20x%20-%2011%7D%20%20-%20%20%5Csqrt%7Bx%7D%20%20%2B%205%20%3D%206" id
ICE Princess25 [194]
Solve for x:
5 - sqrt(x) + sqrt(3 x - 11) = 6

Subtract 5 from both sides:
sqrt(3 x - 11) - sqrt(x) = 1

(sqrt(3 x - 11) - sqrt(x))^2 = -11 + 4 x - 2 sqrt(x) sqrt(3 x - 11) = -11 + 4 x - 2 sqrt(x (3 x - 11)) = 1:
-11 + 4 x - 2 sqrt(x (3 x - 11)) = 1

Subtract 4 x - 11 from both sides:
-2 sqrt(x (3 x - 11)) = 12 - 4 x

Raise both sides to the power of two:
4 x (3 x - 11) = (12 - 4 x)^2

Expand out terms of the left hand side:
12 x^2 - 44 x = (12 - 4 x)^2

Expand out terms of the right hand side:
12 x^2 - 44 x = 16 x^2 - 96 x + 144

Subtract 16 x^2 - 96 x + 144 from both sides:
-4 x^2 + 52 x - 144 = 0

The left hand side factors into a product with three terms:
-4 (x - 9) (x - 4) = 0

Divide both sides by -4:
(x - 9) (x - 4) = 0

Split into two equations:
x - 9 = 0 or x - 4 = 0

Add 9 to both sides:
x = 9 or x - 4 = 0

Add 4 to both sides:
x = 9 or x = 4

5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(4) + sqrt(3×4 - 11) = 4:
So this solution is incorrect

5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(9) + sqrt(3×9 - 11) = 6:
So this solution is correct

The solution is:
Answer:  x = 9
5 0
3 years ago
Show Step by step for solving <br><br>-6(n-3) = 5(4-n)​
pav-90 [236]

the answer is N=-2

God bless you

7 0
3 years ago
3. Dan's credit card was lost on a vacation. He immediately reported it missing. The person who found it days later used it, and
Olenka [21]

The question is an illustration of the Truth in Lending Act, and Dan is responsible for paying $0

<h3>Truth in Lending Act</h3>

The Truth in Lending Act is simply an act that protects people from unfair charges on their credit cards, especially in case of theft and card misplacement.

<h3>The scenarios</h3>

From the question, we have the following scenarios

  • His card got lost
  • He reported
  • Someone else saw the card and purchased goods worth over $200

Because Dan reported when his card got lost, he is protected by the Truth in Lending Act (TILA).

Hence, Dan is responsible for paying $0

Read more about the Truth in Lending Act at

brainly.com/question/1979208

4 0
2 years ago
Determine the value of each variable in the figure below. Keep answers in simplest<br> radical form.
Tanzania [10]

Answer:

  a = 21

  b = 63

  c = 42√3

  d = 21√3

Step-by-step explanation:

The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.

That means the other sides of the smallest triangle will be ...

  a = 42/2 = 21

  a+b = 2(42) = 84

  b = (a+b) -a = 84 -21 = 63

  d = 21√3 . . . . middle-length side of the smallest triangle

  c = 42√3 . . . . middle-length side of the largest triangle

The values of the variables are ...

  • a = 21
  • b = 63
  • c = 42√3
  • d = 21√3

7 0
2 years ago
Identify the percent of change an increase or decrease then find percent of change one hundredfifty pounds to one hundred thirty
Alex777 [14]

Answer:

−10%change

 10%decrease

Step-by-step explanation:

V2−V1)|V1|×100

 =(135−150)|150|×100

=−15150×100

=−0.1×100

=−10%change

=10%decrease

Note: Percent Change is NOT the same as  Percent Difference between 150 and 135.

Hope this helps!

6 0
3 years ago
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