MATHEMATICS HIGH SCHOOL

Simplify 81^1/2
Please simplify and show steps

Answers

Answer 1
Answer: a^(n)/(m)=\sqrt[m]{a^n}\n\n\n81^(1)/(2)=√(81)=9\n\n\n81^(1)/(2)=(9^2)^(1)/(2)=9^{2\cdot(1)/(2)}=9
Answer 2
Answer:

The expression 81⁽¹/²⁾ simplifies to 9.

To simplify the expression 81¹/², we can evaluate the squareroot of 81.

The square root of a number x is a value that, when multiplied by itself, gives x. In this case, we're looking for the number that, when squared, equals 81.

The square root of 81 is 9 since 9 x 9 = 81.

Therefore, 81⁽¹/²⁾ simplifies to 9.

In terms of steps, we can represent the process as follows:

1. Recognize that 81⁽¹/²⁾ represents the square root of 81.

2. Evaluate the squareroot of 81, which is 9.

3. Thus, 81^(1/2) simplifies to 9.

By simplifying the expression, we find that 81⁽¹/²⁾is equal to 9.

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Find the value of c so that the polynomial P ( x ) = 4x 3 + c x 2 + x + 2 have the same remainder when it is divided by x-2 and x+1?

Answers

For the polynomial P (x) = 4x³ + cx² +x + 2 the value of c is -13.

What is polynomial?

Polynomial is an algebraic expression that has more than two terms. In other words, it is a combination of different variables with mathematical operations.

The given equation of polynomial is,

P (x) = 4x³ + cx² +x + 2         (1)

Since, When polynomial is divided by  x-2, and x+1 it gives the same remainder,

This implies that at x=2 and x=-1, the value of the polynomial will be equal.

P(2)=P(-1)

4×(2)³+c(2)²+2+2=4×(-1)³+c(-1)²+(-1)+2

32+4c+4=-4+c+1

3c=-3-36

3c=-39

c=-13

So, the value of c is -13.

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Answer:

Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you please don't forget to thank me ...

Multiply (3x – 5y)(2x + 3y)

Answers

Answer:

6x² - xy - 15y²

Step-by-step explanation:

To multiply these two binomials together, we can use FOIL. FOIL stands for:

First: Multiply the first terms of the binomials together.

Outer: Multiply the first term of the first binomial by the second term of the second binomial.

Inner: Multiply the second term of the first binomial by the first term of the second binomial.

Last: Multiply the second (last) terms of the two binomials together.

(3x - 5y)(2x + 3y) = (3x)(2x) + (3x)(3y) + (-5y)(2x) + (-5y)(3y)

= 6x² + 9xy - 10xy - 15y²

= 6x² - xy - 15y²

I hope you find my answer helpful.

Emily wants to make a regtangular model with a height of one connecting cube. she wants to make the model in exactly 2 different ways. how many connecting cubes could Emily use to make the model in only 2 ways. A6, B12, C16, D18

Answers

A 6, because it can be 6x1x1 or 3x2x1

A scientist begins an experiment with a culture of 5 bacteria cells. Every hour, the number of bacteria cells triples. Which equation can be used to represent the number of bacteria cells, y, as it relates to time in hours, x?a. y = 5 x
b. y = 3(5) x
c. y = 3 x
d. y = 5(3) x

Answers

The answer is c hope it helps

The value of √-9 is not -3 because_______.A. 9^2 not congruent to -3
B. (-3)^2 not congruent to -9
C. 3^2 not congruent to -9
D. (-9)^2 not congruent to -3

Answers

B, because -3^2 is not -9. -3*-3 = 9, square roots of negative numbers aren't possible, because no number squared can be equal to them. Instead, they are expressed in terms of "i", which is defined as

i^2 = -1
The value of √-9 is not -3 because B. (-3)^2 not congruent to -9. 

This is the answer because, (-3)^2 = 9 NOT -9. Any negative squared is equal to the positive squared. E.g. 2^2=4 & (-2)^2=4. Another tip is that in the number in the square root sign is negative the answer is no solution as it is impossible to square a number and get a negative answer. 

antoine went on vacation to las vegas. his room cost 115.62 each night. his flight there cost $45.70 and his flight. was32.49. he averaged $15.00 per day on food. on the first dat antoine won$75.00 and on the last day he lost $25. if he stayed for 3 nights and 4 days, how much did the entire trip ( including airfare, food , hotel and wining ) cost him ?

Answers

Hotel

He stayed 3 nights, so $115.62 × 3 = $346.86

Airfare

$45.70 + $32.49 = $78.19

Food

He averaged $15 a day, and he stayed 4 days.

$15 × 4 = $60

Winnings

He won $75 but lost $25

$75 - $25 = $50 won.

Adding up all the expenses and winnings, we find that he paid $435.05 for his trip.
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