MATHEMATICS HIGH SCHOOL

Which of the following expressions does not equal: the sixth root of 81x^4y^8a. (3xy^2)^2/3

b. (3x)^2/3y^4/3

c. (3x^2y^4)^1/3

d. cube root of 9x^2y^4

Answers

Answer 1
Answer: \sqrt[6]{81x^4y^8}=\left[3^4x^4(y^2)^4\right]^(1)/(6)=\left[\left(3xy^2\right)^4\right]^(1)/(6)\n\n=\left(3xy^2\right)^{4\cdot(1)/(6)}=\left(3xy^2\right)^(2)/(3)\to A\n\n=\left(3xy^2\right)^(2)/(3)=\sqrt[3]{\left(3xy^2\right)^2}=\sqrt[3]{9x^2y^4}\to D\n\n=\left(3xy^2\right)^(2)/(3)=\left(3x\right)^(2)/(3)y^{2\cdot(2)/(3)}=\left(3x\right)^(2)/(3)y^(4)/(3)\to B\n\n\nAnswer:C

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Al Johnson is a word processor. He is paid $2.95 a page. A normal job has 600 pages and requires about 225 words per page. About how much will Al receive for his work?

Answers

Answer:

Al will receive $1770 for his work.

Step-by-step explanation:

Given : Al Johnson is a word processor. He is paid $2.95 a page.

To Find: A normal job has 600 pages and requires about 225 words per page. About how much will Al receive for his work?

Solution:

Cost of 1 page = $2.95

So, cost of 600 pages = 2.95 * 600

                                     = 1770

Hence Al will receive $1770 for his work.
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The pentagon PQRST is transformed into P'Q'R'S'T' using which two transformations?A. reflection across the y-axis
B. translation 3 units to left and 3 units down
C. translation 2 units to right and 2 units up
D. reflection across the x-axis

Answers

The right answer for the question that is being asked and shown above is that: "B. translation 3 units to left and 3 units down." The pentagon PQRST is transformed into P'Q'R'S'T' using the two transformations: B. translation 3 units to left and 3 units down

What is 8u + 9v + 3u -5v simplified

Answers

8u + 9v + 3u -5v can be simplified as 11u + 4v.

What is expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given expression

8u + 9v + 3u - 5v

Adding like terms

= 11u + 4v

Hence, 11u + 4v is simplified form of expression 8u + 9v + 3u -5v.

Learn more about expression here:

brainly.com/question/14083225

#SPJ2
8u + 9v + 3u -5v
= 11u + 4v ....simplified

hope it helps

Solve for x. 1/36=6^(x-3)

Answers

(1)/(36)=6^(x-3)\n6^(-2)=6^(x-3)\n-2=x-3\nx=1

Fill in the chart below to determine the overtime pay, regular pay for 40 hours, and totalpay.
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Total Pay
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$300.00
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Answers

Answer:

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in one baseball season, peter hit twice the difference of the number of home runs alice hit and 6. altogether, they hit 18 home runs. hohw many home runs did each player hit that season?

Answers

Let Peter's hit be x and Alice's runs be y.
x = 2(y - 6) . . . (1)
x + y = 18 . . . (2)

Putting (1) into (2) gives,
2y - 12 + y = 18
3y = 18 + 12 = 30
y = 30/3 = 10
x = 2(10 - 6) = 2(4) = 8

Therefore, Peter hit 8 home runs and Alice hit 10 home runs.
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