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3 years ago

What is the following product? Sqr5x^8y^2 sqr10x^3 sqr12y

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

4 0

Step-by-step explanation:

$\sqrt{5 {x}^{8} {y}^{2} } \times \sqrt{10 {x}^{3} } \times \sqrt{12y} \\ \\ = {x}^{4} y \sqrt{5} \times x \sqrt{10x} \times 2 \sqrt{3y} \\ \\ = 2 {x}^{5} y \sqrt{5 \times 10x \times 3y} \\ \\ = 2 {x}^{5} y \sqrt{5 \times 5 \times 2x \times 3y} \\ \\ = 2 {x}^{5} y \times 5\sqrt{ 2x \times 3y} \\ \\ = 10 {x}^{5} y \sqrt{6xy} \\$

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Describe how to simplify the expression<br> 3^-6<br> 3^-4

Annette [7]

Answer:

For 3^-6 = 1/3^6 = 726 and for 3^-4 = 1/3^4 = 81

Step-by-step explanation:

ARE THE NUMBERS SEPARATED OR THEY ARE TO BE JOIN TOGETHER,IF THERE ARE SEPARATED THE SOLUTION IS GOING TO BE...

3^-6

using law of indices x^-a = 1/x^a

So 3^-6 = 1/3^6

Now find the power of 3^6

which is the same as 3×3×3×3×3×3 = 729

therefore 1/3^6 = 729

For 3^-4

using the above method

3^-4 is same as 1/3^4

which is equal to

finding the nominator

3×3×3×3 = 81

so the answer is 81

7 0

3 years ago

Choose a value for n, and then evaluate n^2.

Sloan [31]

Pick your favorite number and square it.

Squaring a number means you multiply it by itself.

Let's say you picked the number 7

7 squared = 7^2 = 7*7 = 49

Think of a 7 by 7 grid of tiny squares. There would be 49 total little squares to represent the total area. Graph paper might help visualize this.

6 0

2 years ago

When the smaller of two consecutive integers is added to two times the larger, the result is 35. Find the integers.

Aleonysh [2.5K]

x+2(x+1)=35

x+2x+2=35

3x=35-2=33

x=33/3=11

smaller number=11

larger number=11+1=12

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3 years ago

2x^3-3x^2+kx-1 is divided (x-1),the remainder is 2 find k

Debora [2.8K]

Answer:

k = 4

Step-by-step explanation:

if f(x) is divided by (x - h) then f(h) is the remainder

f(x) = 2x³ - 3x² + kx - 1

divided by (x - 1) , so h = 1 , then

2(1)³ - 3(1)² + k(1) - 1 = 2

2 - 3 + k - 1 = 2

- 2 + k = 2 ( add 2 to both sides )

k = 4

7 0

2 years ago

PLEASE HELP. 35 points and brainliest. I am SO BAD with proofs and I would be grateful if someone helped me here and explained w

sergey [27]

Answer:A rubric is a grading tool that describes the criteria, or "what counts," for the assignment. It also describes each of the criteria according to gradations of quality, with descriptions of strong, middling, and problematic student work. The criteria are listed in the column on the left. The numbers in the top row indicate quality, with 3 being the best. The number 0 is something everyone wants to avoid. Students may use the rubric as a check list to determine if the writing meets the criteria of the assignment.

Point Value

2 points

1 points

.5 points

0 points

Topic Sentence

Interesting, original topic sentence, reflecting thought and insight; focused on one interesting main idea.

Clearly stated topic sentence presents one main idea.

Acceptable topic sentence presents one idea.

Missing, invalid, or inappropriate topic sentence; main idea is missing.

Supporting Details

Interesting, concrete and descriptive examples and details with explanations that relate to the topic.

Examples and details relate to the topic and some explanation is included.

Sufficient number of examples and details that relate to the topic.

Insufficient, vague, or undeveloped examples.

Organization and Transitions

Thoughtful, logical progression of supporting examples; Mature transitions between ideas.

Details are arranged in a logical progression; appropriate transitions.

Acceptable arrangement of examples; transitions may be weak.

No discernible pattern of organization; Unrelated details; no transitions.

Style

Appropriate tone, distinctive voice; pleasing variety in sentence structure; Vivid diction, precise word choices.

Appropriate tone; Clear sentences with varied structures; Effective diction.

Acceptable tone; some variety in sentence structures; Adequate diction and word choices.

Inconsistent or Inappropriate tone; Awkward, unclear, or incomplete sentences; Bland diction, poor word choice.

Mechanics

Consistent standard English usage, spelling, and punctuation. No errors.

Some errors, but none major, in usage, spelling, or punctuation. (1-2)

A few errors in usage, spelling, or punctuation (3-4)

Distracting errors in usage, spelling, or punctuation

Topic Sentences ______

Supporting Details and Organization ______

Organization/Transitions ______

Style ______

Mechanics ______

Total Points ______ = grade of ______

*Your instructor will average the scores of both paragraphs to generate your final grade for Assignment #1.

Grade Equivalent:

A = 8 - 10 points

B = 6 -7 points

C = 4 - 5 points

D = 2 - 3 points

F = 0 - 1

Step-by-step explanation:

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2 years ago