Use the Commutative Property of Multiplication to write an expression equivalent to x•9.

The required expression that is equivalent to (6^-3/3^-2x6^2) to the 3rd power is 3^3/2^3.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

(6^-3/3^-2x6^2)to the 3rd power

or, we can write

(6^-3/3^-2x6^2)^3

Since, a^-1 = /a

Therefore we have

6^-3 = 1/6^3

3^-2 = 1/3^2

Therefore we get,

{(1/6^3)/(1/3^2) x 6^2}^3

Simplifying we get

{(3^2/6^3) x 6^2}^3

or, {(3^2  x 6^2)/6^3}^3

Solving we get

(3^2/6)^3

Now since,

3^2 = 9

Put in expression we get

(9/6)^3

or, (3/2)^3

therefore we get,

3^3/2^3

this is the required expression that is equivalent.

Thus, the required expression that is equivalent to (6^-3/3^-2x6^2) to the 3rd power is 3^3/2^3.

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By resolution of systems of linear equations, Carlos has 6 quarters and 14 dimes in his pocket.

A dime is equivalent to 0.10 dollars and a quarter is equivalent to 0.05 dollars. In accordance with the statement, Carlos has 20 coins between dimes and quarters, whose algebraic equations are described below:

q + d = 20           (1)

q = 0.5 · d - 1      (2)

Where:

By (2) in (1):

(0.5 · d - 1) + d = 20

1.5 · d - 1 = 20

1.5 · d = 21

d = 14

By (2):

q = 0.5 · d - 1

q = 0.5 · 14 - 1

q = 7 - 1

q = 6

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Answer:

m<1 = 148

m<4 = 32

Step-by-step explanation:

<1 and <7 are alternate exterior angles. By the Alternate Exterior Angle Theorem, <1 and <7 are congruent and therefore m<1 = m<7. So m<1 = 148 degrees.

<3 and <7 are corresponding angles. By the Corresponding Angles Postulate, <3 and <7 are congruent and therefore m<3 = m<7. So m<3 = 148 degrees. <3 and <4 form a linear pair, and by the Linear Pair Postulate, <3 and <4 are supplementary and therefore m<3 + m<4 = 180. So m<4 = 180 - m<3 = 180 - 148 = 32 degrees.

Answer: y = x + 4.

Reason: -2 + 4 = 2 and -1 + 4 = 3 so, any equation added with 4 would be y or x + 4 = y.

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Answer:

20 years

Step-by-step explanation:

jeff's age = x

pete's age = x+10

in 5 years time

2(x+5) = x+10+5

thus x=5 therefore

pete's age in 5 years will be 20

Answer:

cos4θ=8cos^4θ−8cos^2θ+1

Step-by-step explanation:

Answer:

So when you add 2 plus to it equals 2 adrew tates kissing.

Step-by-step explanation:

The radius of the new parking area is 71cm. (option b)

The liters of sporting drinks they have with them is 30 liters (option d).

A circle is a bounded figure which points from its center to its circumference is equidistant. The area of a circle is the area that is bounded in a circle.

Area of a circle = πr²

Where :

22/7 x 123² = 47,548.286 m²

When the parking area is reduced by 1/3. its new area is: 1/3 x 47,548.286 m² = 15,849.429 m²

The radius of the reduced parking lot:√ (7/22 x 15,849.429 m²) = 71m

The first step is to determine the volume of one of the packages.

Volume of a rectangular prism = length x width x height

6 x 4 x 10.5 = 252 cm³

Now, the volume of the 120 packs of sports drinks have to be determined:

120 x 252 cm³ = 30,240cm³

The last step is to convert cm to liters

1 cm = 1 /1000 liters

30,240 / 1000 = 30 liters

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Answer:

m<1=159 degree

m<2=21 degree

m<4=21 degree

Answer:

[tex]h = G + \frac pf[/tex]

Step-by-step explanation:

[tex]G = h - \frac pf \text{ / Add }\frac pf \text{ to both sides}\\\\G + \frac pf = h - \frac pf + \frac pf\\\\G + \frac pf = h[/tex]

Express 8 as a product of its prime factors. Write it in index form and apply the power rule: (a^m)^n = a^mn

8 = 2x2x2 = 2^3

(2^3)^2/3 = 2 ^ 3x2/3 = 2^2

=4

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The missing value of inverse variation is 0.5

The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between these two corresponding values. Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity.

Let say if x and y are two values and k is a constant value, then

According to inverse variation

k = xy or y = k/x

In the given question,

Take the order pair (4,1.5)

As it is an inverse variation, we can substitute it

y=k/x  

1.5=k/4

K=6

Now find the inverse variation equation

y=k/x

Also, k=6

Solve this equation for the second pair (x,12)

As, y=6/x

   x = 6/12 = 1/2 = 0.5

Therefore, missing value is 0.5

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The electric field at the point directly to the east of the negatively charged point is directed towards the charge, that is, west of the point.

The correct option is D.

A negative point charge has an electric field focused at it. Thus, the electric field at the point directly to the east of the negatively charged point is directed towards the charge, that is, west of the point.

The electric field is defined as that of the electric force per unit of charge. The direction of the field is assumed to represent the direction of the force it would impose on a positive test charge. The electric field radiates outward from the a positive charge and inward from a negative point charge.

The field lines never cross. The field lines lie parallel to the charge's surface. The quantity of charge and indeed the number of field lines are proportionate.

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I understand that the question you are looking for is:

What is the direction of the electric field directly to the east of an isolated negative point charge?

A. north

B. south

C. east

D. West

Answer: 1955 and 2005 .

Year

1955

1960

1965

1970

1975

1980

1985

1990

1995

see if i help u now ?

Step-by-step explanation:

A sequence of events or things is a number of events or things that come one after another in a particular order. The nth term of

for 6,21,46,81 is 5n²+1.

A sequence of events or things is a number of events or things that come one after another in a particular order.

Write down the nth term of this quadratic number sequence.

6,21,46,81...

number sequence has nth term = an² + bn + c.

Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence =6,21,46,81

1st difference = 15,25,35

2nd difference = 10,10

If you divide the second difference by 2, you will get the value of a.

10/2=5

So the first term of the nth term is 5n².

ext, substitute the number 1 to 4 into 5n².

n=1,2,3,4

5n²=5,20,45,80

Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

5n²+1=6,21,46,81.

Therefore nth term for 6,21,46,81 is 5n²+1.

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Answer:

the total area of the enlarged garden is 324 square feet

Step-by-step explanation:

Lisa square garden has an area of 64 square feet. The formula for determining the area of a square is expressed as

Area = Length²

Length = √Area

Therefore, Length of each side of Lisa's garden is

√64 = 8 feet.

Lisa increases each side of her square garden by 5 feet. It means that the length of each side of the enlarged garden is 8 + 5 + 5 = 18 feet

Therefore, the total area of the enlarged garden would be

18² = 324 square feet

The factors of 2 x²-19 x+24 are x = 3/2 and x = 8

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the division of a number into its factors or divisors. The factorization of the integer 12, for instance, may appear as 3 times 4.

Given,

2 x²-19 x+24

By factorization,

⇒ 2x² - 16 x - 3x + 24

⇒ 2x (x-8) - 3 (x - 8)

⇒ (2x - 3) (x-8)

⇒ x = 3/2 and x = 8

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Answer: angels that lie between two lines and are intersected by a transversal.

Step-by-step explanation:

The statements which must be true of triangle RST are;

According to the stated premises;

m∠R > m∠S + m∠T

This in turn means that the angle measure of ∠R > angle measure of ∠S and ∠T.

Therefore, we can conclude that; m∠R > 90° and m∠S + m∠T < 90°

As such, certainly, m∠R > m∠T and m∠R > m∠S

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The values of A, B, and C will Ax + By = C be a horizontal line through the point (−4, 2) are ( 0, B, 2B)

In the above question, a horizontal line is given whose equation is Ax + By = C which passes through a point (-4, 2)

We can make two observations from the given information of horizontal line passes through point (-4,2) which are as follows:

1. The slope of a horizontal line will be parallel to the x-axis whose slope will be, m=0.

2. The given point and the line meet at (-4,2).

Now as the point (-4,2) lie on the line it will satisfy the equation of the horizontal line

We get,

A(-4) + B(2) = C

-4A + 2B = C ..... eqn 1

Also, we can write the given equation in the slope-intercept form which is

y = mx + c

By = -Ax + C

y = [tex]\frac{-A}{C}[/tex]x + [tex]\frac{C}{B}[/tex]

So, we can imply that m =  [tex]\frac{-A}{C}[/tex] = 0

A = 0

Putting this in eqn 1 we get,

-4A + 2B = C

0 + 2B = C

C = 2B

Hence, we conclude that values of A, B, and C will Ax + By = C be a horizontal line through the point (−4, 2) are ( 0, B, 2B)

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Answer:

use an app for it.

The equivalent expression of the expression given as 0.75/9 * 0.75/3 is 1/48

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

0.75/9 * 0.75/3

Evaluate the product of the numerators

So, we have

0.75/9 * 0.75/3 = 0.5625/9 * 1/3

Evaluate the product of the denominators

So, we have

0.75/9 * 0.75/3 = 0.5625/27

Simplify the fraction

So, we have

0.75/9 * 0.75/3 = 0.0625/3

Further simplify

So, we have

0.75/9 * 0.75/3 = 625/30000

Further simplify

So, we have

0.75/9 * 0.75/3 = 1/48

Hence, the equivalent expression of the expression given as 0.75/9 * 0.75/3 is 1/48

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Answer:

39

Step-by-step explanation:

2×4²+7
2×16+7

32+7=39

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Answer:

Hope this helps with your question :)

B

Step-by-step explanation:

This is because in the slope-intercept form,

y = mx + b, the m = slope, and the b = y-intercept. So the final answer would be

y = 1/2x - 5

Answer: 45 76 82

Step-by-step explanation: for 8

The statement that best represents the range of the function in this context is 0 <= L(c) <= 500

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

The function is given as

L(c) = 10c

From the question, we understand that:

Maximum number of children = 50

This means that

c =50

So, we have

L(50) = 10 * 50

Evaluate

L(50) = 500

Hence, the statement that best represents the range of the function in this context is 0 <= L(c) <= 500

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