The values in the table represent a linear function. How does the value of y change in relation to a change in the value of x?
Responses
A for every change in x by -6, y changes by 4for every change in x by -6, y changes by 4
B for every change in x by -4, y changes by -6for every change in x by -4, y changes by -6
C for every change in x by -6, y changes by -4for every change in x by -6, y changes by -4
D for every change in x by 6, y changes by -4

linearity and relevant range include the use of cost behavior pattern data.

the existence of a chain of thoughts or actions wherein one directly follows another: True autobiographies rarely have a linear structure. We don't have a linear existence. Constantly thrown off balance is the narrative's traditional linearity.

The accounting phrase "relevant range" refers to the production or activity parameters that a company must adhere to in order to keep its fixed costs constant. Fixed costs in accounting are constant and unaffected by particular production rates.

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Answer:

The total cost will be 2 adult ($16), and 4 children ($8)

2 in = 5.08 cm So 2in is greater

Answer: 2/15

Step-by-step explanation: 4 - 4= 0 AND 3/15 - 1/15= 2/15 so it all adds up to 2/15.

Answer

0.89347

.................

Answer + Step-by-step explanation:

\(\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5\)

\(\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}\)

_______________________

\((4^8)^3 = a^{8 \times 3}=a^{24}\)

\(\text{used property :} \ \ \ (a^n)^m = a^{n \times m}\)

_______________________

\(10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}\)

_______________________

15⁶ × 15³ = 15⁶⁺³ = 15⁹

_______________________

Recall : If a ≠0  ⇒ a⁰ = 1

Then

Since 6⁸ ≠ 0  ⇒ (6⁸)⁰ = 1  

Okay, here we have this:

Considering the provided graph, we are going to find the requested measure, so we obtain the following:

Let us remember that a rectangle besides having the properties of a parallelogram also stands out because it has congruent diagonals. So considering this we have:

BD=EC

EF=BF

EF=22

Finally we obtain that EF is equal to 22 units.

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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The range of data set 1 is 4

The range of data set 2 is 4.

A line plot is a graph that is made up of a number line and check marks above the number line. The check mark above the number represents the frequency of the number in the data set. For example, if the number 3 on the number line has 2 checkmarks above it, it means 3 has a frequency of 2.

The range is the difference between the highest number in a dataset and the smallest number in the dataset. Range is a measure of variation.

Range = highest number - lowest number

The range of data set 1 = 7 - 3 =  4

The range of data set 2 : 7 - 3 =  4

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Triangles PQR and LMK are not similar. Thus none.

Two or more triangles are said to be similar if on comparing their corresponding properties, some common relations holds. One important relation is the scale factor that relates one triangle with the other.

In the diagram given, we have;

scale factor = LK/ PR

                   = 18/ 10

scale factor = 1.8

But this scale factor can not be used to determine the side LM correctly.

That is,

LM ≠ 1.8*8

LM ≠ 14.4

since LM = 13

Therefore, it can be deduced that triangles PQR and LMK are not similar. Thus none.

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The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

Answer:

= \(\frac{25}{6}\)

Step-by-step explanation:

\(\frac{2}{6\sqrt{8} } \sqrt{2} = \frac{1}{6}\)

\(-(-\frac{18}{\sqrt{-81} } -2) = 4\)

= \(\frac{1}{6} + 4\)

= \(= \frac{1}{6} + \frac{24}{6}\)

= \(\frac{25}{6}\)

Answer:

A) (2x+3)(x+7) B) (3x-2)(x-5)

Step-by-step explanation:

A) 2x^2+17x+21=(2x+3)(x+7)

B) 3x^2-17x+10=(3x-2)(x-5)

Answer: A). 14,866.01 ft^2

Step-by-step explanation:

A=2πrh+2πr2=2·π·26·65+2·π·262≈14866.01644ft²

The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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To solve the exercise you can find the surface area of ​​a rectangular prism with the given measurements. The formula to find the surface area of ​​a rectangular prism is

So, in this case, you have

Therefore, to wrap the gift box the department will need 608 square inches of wrapping paper.

Rita would need to rent at least 37 movies in a year for Option B to be cheaper than Option A.

To determine the number of movies Rita would need to rent for Option B to be cheaper than Option A, we can set up an equation and solve for the unknown variable.

Let's assume Rita rents "x" number of movies in a year.

For Option A:

Yearly fee = $40

Cost per movie rental = $3

Total cost for Option A = Yearly fee + (Cost per movie rental * Number of movie rentals)

Total cost for Option A = $40 + ($3 * x) = $40 + $3x

For Option B:

Yearly fee = $150

Cost per movie rental = $0 (unlimited movie rentals)

Total cost for Option B = Yearly fee + (Cost per movie rental * Number of movie rentals)

Total cost for Option B = $150 + ($0 * x) = $150

We want to find the number of movies (x) at which Option B becomes cheaper than Option A. So we can set up the inequality:

$150 < $40 + $3x

Now, we can solve the inequality:

$150 - $40 < $3x

$110 < $3x

Dividing both sides of the inequality by $3:

($110 / $3) < ($3x / $3)

Approximately 36.67 < x

Since the number of movies must be a whole number, we round up to the nearest whole number:

x ≥ 37

Therefore, Rita would need to rent at least 37 movies in a year for Option B to be cheaper than Option A.

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sorry I do not know.

Step-by-step explanation:

anymore question?

We want routine #1 to burn at most as many calories as routine #2. So, if we call A the amount of calories burnt during routine #1, and B the amount burnt during routine #2, we should have:

A ≤ B

Now, he burns during routine #1:

A = 22 cal + (8.5 cal/min) * t

And, during routine #2, he burns:

B = 38 cal + (5.3 cal/min) * t

Then, using these expressions for A and B, we have:

22 cal + (8.5 cal/min) * t ≤ 38 cal + (5.3 cal/min) * t

Now, in order to solve this inequality for t, we can apply a sequence of algebraic operations on both sides of this inequality, until we isolate the variable t and find its value:

22 cal + (8.5 cal/min) * t ≤ 38 cal + (5.3 cal/min) * t

22 cal + (8.5 cal/min) * t - 22 cal ≤ 38 cal + (5.3 cal/min) * t - 22 cal

(8.5 cal/min) * t ≤ 16 cal + (5.3 cal/min) * t

(8.5 cal/min) * t - (5.3 cal/min) * t ≤ 16 cal + (5.3 cal/min) * t - (5.3 cal/min) * t

(3.2 cal/min) * t ≤ 16 cal

(3.2 cal/min) * t/(3.2 cal/min) ≤ 16 cal/(3.2 cal/min)

t ≤ (16 cal) * min/(3.2 cal)

t ≤ 5 min

Therefore, routine #1 burns at most as many calories as routine #2 for

t ≤ 5 min

Answer:

227.7

Step-by-step explanation:

450

-323.4

-----------------

126.6

  126.6

+ 101.1

---------------------

227.7

The range of the following relation is -4.5 < y ≤ 2.5

Given data ,

Let the range of the function be represented as R

Now , the value of R is

R = possible output values

And , range is the set of outputs of a relation or function. In other words, it's the set of possible y values.

So , the possible values of "y" are greater than -4.5 (denoted by the symbol "<") and less than or equal to 2.5 (denoted by the symbol "≤")

Hence , the range is -4.5 < y ≤ 2.5

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Answer:

Step-by-step explanation:

1, 3, 4, 5, 2, 6, 7

The equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

We have to given that,

A number line is shown in image.

Since,

A number lines are the horizontal straight lines in which the integers are placed in equal intervals.

And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

Now, By given number line,

Point C is two point left from point 8.

Hence, The point C is denoted as,

⇒ C = 8.2

⇒ C = 82/10

⇒ C = 8 2/10

Therefore, the equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

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Answer:

b. False

Step-by-step explanation:

The answer is false because the standard deviation was miscalculated.

We can compute the formula for calculating the standard deviation as:

\(\sigma = \sqrt{\dfrac{\sum (x_i-\overline x)^2}{n}}\)

As a result of the  square in the numerator of the summation, the square \(\sum (x_i-\overline x)^2\)   is usually non-negative.

Even if the data is positive, negative or zero, as a result of the above claim, the standard deviation is always non-negative.

Thus, the fact that the first student who finishes the calculation first and claim that the standard deviation is -1.8 is false.

Answer:5

Step-by-step explanation:

5098

Answer:

1  1/2 gallons

Step-by-step explanation:

there are two pints in one quart so 2 quarts plus 8 pints equals

2 quarts plus 4 quarts, or 6 quarts

there are 4 quarts in one gallon so 6 quarts is the same as 1 gallon and 2 quarts

2 quarts is half of one gallon

The unit rate of the relationship will be 10/3. The correct option is C.

The given equation is,

y = 10/3x + 8

The general form of an equation of the line is,

y = mx +  c

here, the slope will be 10/3

Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.

The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.

A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.

The unit relationship will be 10/3.

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