is 2 to the negative 3rd power rational

Answer:

(a) 9

(b) -2

Step-by-step explanation:

it is very important to start by finding the equation of the line then substitute in some values.

Equation of line passing through the points (-15,35) and (15,-19) with slope (m) -54/30 is;

y = -54/30 x + 8

What is equation of line?

Equation of line with slope m is,

y = mx + b

Now, The equation of line is find as;

Slope = -19 - 35 / 15 - (-15) = - 54/30

And, The equation of line in the slope form is;

y = mx + b

For finding the value of b we use any one point and put in the equation of line.

Take point (-15, 35) = (x, y)

Put in the equation of line we get;

35 = -54/30 * (-15) + b

35 = 27 + b

b = 8

Hence, Equation of line passing through the points (-15,35) and (15,-19) with slope (m) -54/30 is;

⇒ y = -54/30 x + 8

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Answer:

x = 12

Step-by-step explanation:

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The equivalent expression is 15x + 104 /4

Algebraic expressions are defined as expressions comprised of constants, variables, terms, coefficients and factors.

They are also made up of arithmetic or mathematical operations such as;

Given the expression:

2(3/4x+7) - 3(1/2x-5)

solve for the bracket

3 ( 3x + 28/4) - 3 (x - 10 /2)

expand the bracket by multiplying

9x + 84 / 4 + 3x + 10/ 2

Find the lowest common multiple

9x + 84 + 6x + 20  /4

collect like terms

15x + 104 /4

Thus, the equivalent expression is 15x + 104 /4

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Answer:

Solution:

So answer is 12 inches

The base of its triangular face of the triangular prism is found as 17.7 cm.

The formula for the volume of triangular prism is;

Volume = base area x length

The base area of the triangular base.

The area of the triangle = 1/2 base×height

The given values are-

Thus, volume = base area x length

volume =  1/2 base × height × length

base = 2v/(height × length)

Put the values;

base = 2×2,354.1/(14 × 19)

base = 4708.2/(14 × 19)

base = 17.7 cm

Thus, the base of the triangular  prism is found as 17.7 cm.

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The missing part from this problem for you to solve it is that the total marbles Sara had.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that Mahad had no marbles, so Sara gave ⅓ of her marbles to Mahad.

Here we can see that this problem cannot be solved due to a lack of information. we need the total marbles Sara had.

If we are given the total marbles Sara had, then we can just simply divide the amount by the denominator.

Therefore, the missing part from this problem for you to solve it is that the total marbles Sara had.

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Answer:

$0.75

Step-by-step explanation:

Since f(x) is linear, the rate of change is is the coefficient of x

The height of the stack of shim stocks will be  6 1/4 inches.

A mixed number is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is 1 3/5. A whole number is a number that is not made up of a decimal or a fraction.

In order to determine the height of the stack, multiply the width of each shim stock by the total number of pieces. Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign used to represent multiplication is x.

Height of the stock = width of one stock x number of pieces

50 x 1/8 = 50 / 8 = 6 2/8 = 6 1/4 inches

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6. B. 2x + 6

7. A. 4x + 5

8. B. 3x + 10

9. C. This is because like terms are terms that have the same variables, for example: 6x - 9x, 12y - 4y, 3a + 5a. In the other choices, we can see that they are unlike terms, not like terms.

[tex]3x - 2 = 19 \\ 3x = 19 +2 \\ x = \frac{21}{3} \\ x = 7 [/tex]

Answer:

15 rt2

56 rt2

15 rt3

9 rt5

Step-by-step explanation:

[tex]3\sqrt{50} =3\sqrt{5*5*2} =3*5\sqrt{2} =15\sqrt{2}[/tex]

[tex]8\sqrt{98} =8\sqrt{2*7*7} =8*7\sqrt{2} =56\sqrt{2}[/tex]

[tex]5\sqrt{27} =5\sqrt{3*3*3} =5*3\sqrt{3} =15\sqrt{3}[/tex]

[tex]3\sqrt{45}=3 \sqrt{5*3*3} =3*3\sqrt{5} =9\sqrt{5}[/tex]

Answer:

The answer is in the attached screenshot.

Answer:

16

Step-by-step explanation:

-7 to 9 is 16 because just doing 9 + 7 is 16.

Answer:

1.33

step by step explanation

The total width of the room including the platform is 6.40 and the fraction of raised platform area to the total area is 1/6.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The fraction is the division of the two numbers but the division is not wholly complete.

A) Given the area of room = 46 14/15 = 704/15

Area = Width × Length

W × 7 1/3 = 704/15

W × 22/3 = 704/15

W = 704/15 × 3/22

W = 6.4

B ) Given the area of the platform as 7 37/45 = 352/45

Area of total room = 704/15

Fraction of  raised platform area to the total area = (352/45) / (704/15)

⇒ (352/45) × 15/704

⇒ 352/2112 = 1/6

Hence "The total width of the room including the platform is 6.40 and the fraction of raised platform area to the total area is 1/6".

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Answer: 252

Step-by-step explanation:

The solution to the linear equation given as 2.4 (x - 6) = 0.4 (x + 8) + 12 is  x = 14.8

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The linear equation is given as

2.4 (x - 6) = 0.4 (x + 8) + 12

Open the brackets

So, we have

2.4x - 14.4 = 0.4x + 3.2 + 12

Collect the like terms in the above expression

So, we have

2.4x - 0.4x = 14.4 + 3.2 + 12

Evaluate the like terms in the above expression

So, we have

2.0x = 29.6

Evaluate the quotient in the above expression

So, we have

x = 14.8

Hence the solution to the linear equation given as 2.4 (x - 6) = 0.4 (x + 8) + 12 is  x = 14.8

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When 80% of a number is found then the answer will be less than the number. 120% of a number will be greater than the number.

In order to find 80% of a number, you simply multiply the number by 80/100 .

When you find 80% of a number, the answer would be less than the number because all percentages less than 100% of a number would be less than the number.

For instance, 80% of 5 is:

= 80/100 x 5

= 4

All percentages more than 100 would be greater than the number which means that 120% would be greater. For instance:

= 120% x 5

= 6

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Florida (US) is 7.53 times as big as New Jersey (US).

New Jersey is approximately 19,211 sq km, while Florida is approximately 139,670 sq km, making Florida 627% larger than New Jersey. Meanwhile, the population of New Jersey is ~8.8 million people (10.0 million more people live in Florida).

Florida (US)

Florida is a state located in the southeastern region of the United States. With a population of over 21 million, Florida is the third-most populous and the 22nd-most extensive of the 50 United States. The state is bordered to the west by the Gulf of Mexico, to the northwest by Alabama, to the north by Georgia, to the east by the Atlantic Ocean, and to the south by the Straits of Florida. The state's capital is Tallahassee and its most populous municipality is Jacksonville. The Miami metropolitan area, with a population of almost 6.2 million, is the most populous urban area in Florida and the seventh-most populous in the United States.

New Jersey (US)

New Jersey is a state in the Mid-Atlantic region of the Northeastern United States. It is bordered on the north and east by the state of New York; on the east, southeast, and south by the Atlantic Ocean; on the west by the Delaware River and Pennsylvania; and on the southwest by Delaware Bay and the State of Delaware. New Jersey is the fourth-smallest state by area but the 11th-most populous, with 8,882,190 residents as of 2019 and an area of 8,722.58 square miles, making it the most densely populated of the 50 U.S. states.

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Answer:

non response bias

Step-by-step explanation:

34 cartons were delivered by the Yellow Bell Farm to various stores in the Hudson Valley.

Let the farm deliver 408 eggs to various stores around the Hudson Valley.

According to the question, a carton contains a dozen eggs.

A dozen is a grouping of twelve objects. It is abbreviated as doz or dz.

1 dozen = 12 eggs

So one carton contains a dozen eggs, or 12 eggs and

12 eggs needs 1 cartoon.

408 eggs needed = 408÷12 = 34 cartons

So 34 cartons were delivered by the yellow farm.

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By applying the law of sines, the value of angle C to the nearest tenth is equal to 20.2 degrees.

In Geometry, there are different types of triangle based on the length of their sides and angles, and these are;

In Trigonometry, the law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

Substituting the parameters into the formula, we have;

sin51/9 = sinC/4

Cross-multiplying, we have:

4sin51 = 9sinC

sinC = 4sin51/9

sinC = (4 × 0.7772)/9

sinC = 3.1088/9

sinC = 0.4

C = sin⁻¹(0.3454)

C = 20.2 degrees.

In conclusion, we can logically deduce that the value of angle C is equal to 20.2 degrees.

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Answer:

400

Step-by-step explanation:

if the number was bellow 350 it would be 300 but it's not so 400 is correct

Answer: 367.78

Step-by-step explanation:

hundreds = 3

tens = 6

ones = 7

hundredths = 7

thousandths = 6

ten thousandths = 4

hundred thousandths = 2

367.776  [the 7 would round up to an 8]

367.78

Answer:

11.25

Step-by-step explanation:

x/3 = 3.75
x = 11.25

Work has been corrected:

If x - 3.75 = 2/3, then x/3 = 3.75 (3.75 is 1/3 of the total money, X.)

We can find the value of x by isolating the variable:

x/3(3) = 3.75(3)
x = 11.25

Thus the total money, x, is 11.25

Solve this problem by setting up ratios with the information you know.

You know:

With this information, you can assume that he used 1/3 of his money.

With this set up a ratio comparing the numerical amount he spent to the ratio of his total money that he spent:

[tex]\frac{1}{3} =\frac{3.75}{x}[/tex]

x= the total amount of money he started with.

Now cross multiply to come up with a final equation:

x = 3.75 × 3

Solve: x = 11.25

The original amount of money he started with was $11.25

The value of the logarithm expressions  [tex]log_{2} 8 - log_{2} 4[/tex] is 1.

Using only two logarithms at a time, from left to right, use the product property or quotient property of logarithms to rewrite logarithms of the form [tex]log_{b} A - log_{b} B = log_{b} (\frac{A}{B} )[/tex]

The logarithm expressions is [tex]log_{2} 8 - log_{2} 4[/tex].

Use the properties to rewrite logarithm expressions as a single logarithm

Using only two logarithms at a time, from left to right, use the product property or quotient property of logarithms to rewrite logarithms of the form [tex]log_{b} A - log_{b} B = log_{b} (\frac{A}{B} )[/tex]

= [tex]log_{2} 8 - log_{2} 4 = log_{2} (\frac{8}{4} )[/tex]

=[tex]log_{2} 2[/tex]=1

thus the expressions value is 1.

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Answer:

B

I don't know how all the answers are B's

Give me brainliest answer.

I hope I could help.