The surface area of the solid shown is 12 in. 6 in. 8 in. I square inches and its volume is cubic inches.​

Answer: 57920 per month

Step-by-step explanation: 905 x 64 = 57920

The equivalent expression to the dieter's expression which is given as -24/6 is equal to  -(24/6).

Every fraction has three signs: one for the numerator, one for the denominator, and one for the overall fraction.

The fraction will always be negative if one of the numerators or denominators is negative and the other is positive.

It is given that a dieter loses 24 pounds in 6 months.

The dieter represents the average monthly weight loss with the expression -24/6.

We know that,

The negative sign in numerator can be assigned to the overall fraction.

So, we can write the expression (-24)/6 as -(24/6).

Therefore, the expression that is equivalent to the expression the dieter uses is    -(24/6).

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It is to be noted that the square root of 7-2√10 is √5-√2. See the explanation below.

It is to be noted that square root, in mathematics, refers to a factor of a number which when multiplied by itself, results in the original number. For example, both 3 and –3 are square roots of 9.

Hence the solution to the above expression or problem is given as stated below:

7-2√10 = 5 + 2 - 2 2√10

= (√5)² + (√2)² - 2(√5)(√2)

Hence

7-2√10  = (√5 - √2)²

√(7-2√10) = √5 - √2

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Using rotation rules, considering the 90º clockwise rotation, the coordinates of point A are given as follows:

(-2,0).

The origin has coordinates (0,0), hence the rule for a 90º clockwise rotation about the origin is:

(x,y) -> (y, -x).

Considering a point (xP, yP) as reference, the rule for the coordinates of the vertices after the rotation is given as follows:

(x,y) -> (y - yP, -x + xP).

For this problem, point B is the reference point, hence the reference coordinates are as follows:

xP = 2, yP = 1.

Then the rule is:

(x, y) -> (y - 1, -x + 2).

Point A is located at:

x = -2, y = -1.

After the rotation, the coordinates will be given as follows:

(x, y) -> (-1 - 1, -2 + 2) = (-2,0).

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Answer:

This sequence is geometric with common ratio -2.

The formula for function g(x) that describes the transformations performed on the basic function f(x) = |x| is g(x) = - ( |x| + 4 )

As per the question statement, we are given a basic function f(x) = |x| and we are supposed to find the formula for function g(x) that describes the transformations performed on the basic function f(x) = |x|.

Solution is as follows:

Reflected about X - axis and translated 4 units down to X - axis.

Basic function y = |x| - 2

Transformed function g(x) = - ( |x| + 4 )

Reflected across y = -2

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Because we can't divide by zero, the correct option is x = 0.

For which value of x the quotient is not a rational number?

Here we have the quotient:

12/x

We want to find a value of x such that it is not a rational number, where a rational number is any number that can be written as the quotient of two integers.

Here is a trick, remember that we can't divide by 0, so if we choose x = 0, technically we can't take the quotient, so in that case we wouldn't have a rational number.

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Answer:

Step-by-step explanation:

The most appropriate choice for Linear Inequation and area will be given by-

value of h > 8.

What is Linear Inequation and area?

Linear Inequation involves comparision between two values with the help of <,   >,   [tex]\leq[/tex],  [tex]\geq[/tex].

Area of a 2D shape is the total space taken by that shape.

Here ,

Area of vegetable patch of Jake = [tex]h[/tex] [tex]m^{2}[/tex]

Area of vegetable patch of Aliya = ([tex]3h + 7[/tex]) [tex]m^{2}[/tex]

Area of vegetable patch of Lucy = [tex]5h[/tex] [tex]m^{2}[/tex]

Total area of vegetable patch of Jake, Aliya and Lucy

                                                                                       = [tex](h + 3h+7+5h)[/tex] [tex]m^{2}[/tex]

                                                                                       = [tex](9h+7)[/tex] [tex]m^{2}[/tex]

By the problem,

                          [tex]9h + 7 > 79\\9h > 79 - 7\\9h > 72\\h > \frac{72}{9}\\ h > 8[/tex]

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The properties of the function are:

The absolute value equation of the function is given as

y = |x|

On the incomplete table of values, we do not have any x values

So, we can make use of any x value

To do this, we make use of the following x values

x = -3, -1, 0, 1 and 3

Next, we substitute x = -3, -1, 0, 1 and 3 in the equation y = |x|

So, we have:

y = |-3| = 3

y = |-1| = 1

y = |0| = 0

y = |1| = 1

y = |3| = 3

When represented on a table of values, we  have

x | y

-3 | 3

-1 | 1

0 | 0

1 | 1

3 | 3

Next, we plot the graph of the absolute value equation

See attachment for the graph of the absolute value equation

From the graph of the absolute value equation, we have the following properties:

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The ways that describes how they could gather the opinions include:

From the information, the local news station wants to find out opinions on the economy for their next broadcast.

It should be noted that in this case, a sample will be used and not the entire population. Therefore, they can ask randomly selected people's opinions on the economy as well as the members of the local news station about their opinions on the economy.

Therefore, the correct options are A and B.

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To develop a table of functions for the values we have

y  = x + 4

x          y

0          4

1           5

2           6

3           7

the ordered pairs (0, 4) (1, 5) (2, 6) (3, 7)

y = 3x - 6

x          y

0          -6

1           -3

2           0

3           3

the ordered pairs (0, -6) (1, -3) (2, 0) (3, 3)

y = x + 4

The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be 4, 5, 6, 7

y = 0 + 4 = 4

y = 1 + 4 = 5

y = 3x - 6

The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be -6, -3, 0, 3

y = 3(0) - 6 = 0 - 6 = -6

y = 3(1) - 6 = 3 - 6 = -3

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First graph.

A set of ordered pairs is a function if for every x value there is one y value. The set of ordered pairs functions if they pass the vertical line test. If a vertical line is drawn then the line will cut at only one point. In the first graph for all x values we have different y values so the ordered pairs represent a function.

Answer:

13.5

Step-by-step explanation:

Answer:

139

Step-by-step explanation:

Add 132 to both sides, so it will cancel out on the left side and you are left with only p.

[tex]p - 132 + 132 = 7 +132\\p = 139[/tex]

according to the line of best fit,  the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes

according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?

1 hour = 60 minutes

46 hour = 46*60= 2760 minutes

in one year total number of days =365 days

in 365 days spent on project= 2760 minutes

per day spent on project = 2760/365

                                          = 7.56minutes

Hence  according to the line of best fit,  the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes

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Answer

625.52(pie)

Step-by-step explanation:

Answer:

The domain for this function is all real numbers greater than -2.

It is true given the above logical analysis to state that RS = 2UV. This is known as a conditional statement also known as an If-then-statement.

A conditional statement (also known as an If-Then Statement) is a statement that begins with a hypothesis and ends with a conclusion.

A conditional statement can also be defined as "If this happens, then that will happen." A conditional statement's hypothesis is the first, or "if" element. While the "Then" is the Conclusion.

Hence, the hypothesis from the above statement is:

IF RS = ST and ST = 2UV [Hypothesis]

Then RS = 2UV [Conclusion]


Put differently we can say

A → B and B→C; then
A → C.

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Pairs of values that could be the number of grams of protein and fiber in the protein bar are:

10 grams of protein and 20 grams of fiber. That is, (10, 20)

and

15 grams of protein and 10 grams of fiber. That is, (15, 10)

From the question, we are to determine the pair of values that could be the number of grams of protein and fiber in the protein bar

From the given information,

The protein has 80 calories from p grams of protein and f grams of fiber

and

The equation that represents the relationship is

4p + 2f = 80

To determine the pair of values, we can determine the values of f for certain values of p

When p = 10

4p + 2f = 80

4(10) + 2f = 80

40 + 2f = 80

2f = 80 - 40

2f = 40

f = 40/2

f = 20

A pair of values is 10 grams of protein and 20 grams of fiber.

When p = 15

4p + 2f = 80

4(15) + 2f = 80

60 + 2f = 80

2f = 80 - 60

2f = 20

f = 20/2

f = 10

Thus,

Another pair of values is 15 grams of protein and 10 grams of fiber.

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Using permutation, there are a total of 24 different orders possible.

If there are a total of 4 floats in a parade then the number of possible orders = 4!

If we further calculate it we will get,

               4 x 3 x 2 x 1 = 24

So there are a total of 24 possible orders in which the floats should appear.

The concept used here is the number of arrangements and the technical term used for it in mathematics is a permutation. A permutation is a mathematical calculation that involves finding the number of ways a particular set can be arranged.

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Answer:

10 / 3

Step-by-step explanation:

4 divided by 6/5

4 / 6 / 5

4 ÷ 6 / 5

4 × 5 / 6

20 / 6

10 / 3

The value of 4 divided by 6/5 is 10/3 .

Given,

4/ (6/5)

Here,

The whole number is divided by fraction , so the denominator of the fraction will be multiplied from the whole number and the resultant will be divided by the numerator.

So,

4 divided by 6/5

4 / 6 / 5

4 ÷ 6 / 5

4 × 5 / 6

20 / 6

10 / 3

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A statement which best describes the meaning of function f(150) is that: A. This is the average number of days the house stayed on the market before being sold for $150,000.

The average rate of change can be defined as a type of function that is used for describing the average rate at which a quantity either decreases or increases with respect to another quantity.

A function simply refers to a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable (x-value) to an output variable (y-value or f(x)).

In this scenario, the function f(150) can be evaluated as follows:

Function f(150) = 150 × p

Function f(150) = 150 × $1,000.

Function f(150) = $150,000

Therefore, the function f(150) simply means the average number of days this house stayed on the market before it was then sold for $150,000.

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In this question we have 3 lines, where 2 parallel lines intersect the other.

Now, because the 2 lines are parallel, their corresponding angles are congruent. Therfore, we can derive the equation:

[tex]2x-43 = x+9[/tex]

[tex]2x = x+9+43[/tex]

[tex]2x = x+52[/tex]

[tex]2x-x = 52[/tex]

[tex]x = 52[/tex]

Answer:

b

Step-by-step explanation:

put -2 on x and you will get a value of 1/4

(can use other number on table too but must got the same value of y)

example: use -1 for x and the answer must be 1/2