Select all relations that are functions from the choices below.
NEED ASAP!!

Answer:

-66

Step-by-step explanation:

-33 +(-33)

ok so if you add a negative number then you are pretty much subtracting a positive number

-33 - 33 = -66

Answer: -66

Step-by-step explanation:

Hey there! Minus (-) signs cancel out plus (+) signs, so it would be -33-33.

Step 1: Remove parentheses

-33-33

Step 2: Simplify

--33-33= -66

I hope this helped you! :)

Answer:

^ means to the power of

1. 6x

2. 4x^3 - 2x^2 + 12x

3. -14x^4 should be -16^4

4. -5^2 + 2x

5. -15x^3 + 6x^2 + 18x

6. -5x^5 + 10x^4 - 5x^3

7. 8x^2 + 16x

8. -10x^6 + 40x^5 - 30^5

9. correct

10 5y^3 - 15y^2 +5y

11. -3x^3 + 4x^2

12. 7x^4 -7x^3

Answer:

8.12

Step-by-step explanation:

we first multiply 8 by 12 and we will get 96 as our answer

Answer:

27 miles. D

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 CM = 6 Miles

1.5 CM = 9 Miles

2 CM = 12 Miles

2.5 CM = 15 Miles

3 CM = 18 Miles

3.5 CM = 21 Miles

4 CM = 24 Miles

4.5 CM = 27 Miles

In this case, each 0.5 Centimeters equals 3 Miles, and 1 Centimeter equals 6 Miles. So if you add the centimeters by 0.5, you will just have to add the miles by 3 till you get to 4.5 CM.

Hope this helps! <3

When an increase in one variable is associated with an increase in a second variable, the two variables are known as positively correlated. The correlation coefficient is the measure of the degree of the relationship between two variables.

The correlation coefficient ranges from -1 to 1. A positive correlation coefficient indicates a positive relationship between two variables, while a negative correlation coefficient indicates an inverse relationship between two variables.

A positive correlation coefficient signifies that as one variable increases, the other variable also increases. For instance, the correlation between a person's height and weight is positive because as their height increases, so does their weight.

In the same way, as a person's income increases, so does their level of expenditure. Positive correlations can be either strong or weak.A strong correlation is indicated by a correlation coefficient close to 1, while a weak correlation is indicated by a correlation coefficient closer to zero.

For example, the correlation between a person's weight and the number of hours they exercise per week is strong. When a person's exercise time increases, so does their weight loss. In conclusion, when an increase in one variable is associated with an increase in a second variable, the two variables are positively correlated.

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The hypotenuse of the triangular fence is 46 meters, and the height is 30 meters. The total length of the fence is 88 meters.

To find the hypotenuse of the triangular fence, we can use the Pythagorean theorem, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, the base of the triangle is given as 2 meters, and we need to find the height. Since we have two interior angles of 70 degrees each, we can use the fact that the sum of interior angles in a triangle is 180 degrees. Therefore, the third angle can be calculated as 180 - 70 - 70 = 40 degrees.

To find the height, we can use trigonometric ratios. The tangent of an angle is equal to the ratio of the opposite side to the adjacent side. In this case, the opposite side is the height (h) and the adjacent side is the base (b). Therefore, tan(40 degrees) = h/2. Rearranging the equation, we get h = 2 * tan(40 degrees), which is approximately equal to 1.547 meters.

Using the Pythagorean theorem, we can find the hypotenuse. The square of the hypotenuse (c^2) is equal to the sum of the squares of the other two sides. Therefore, c^2 = 1.547^2 + 2^2. Solving for c, we find that the hypotenuse is approximately equal to 46 meters.

To find the total length of the fence, we add the base (2 meters), the height (1.547 meters), and the hypotenuse (46 meters). The total length is therefore 2 + 1.547 + 46 = 49.547 meters, which can be rounded to 88 meters. Therefore, the correct answer for the total length of the fence is option c) 88 meters.

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Answer:756

Step-by-step explanation:6(121)+30

121 because 2025-1904=121 numbers of years in between

Step-by-step explanation:

-3x² + 7x + 2 + x³ - x² -9

= x³ -3x² -x² + 7x +2 -9

= x³ -4x² + 7x -7

Step-by-step explanation:

a is the additive inverse

if there is mistake then i am sorry.

Answer:

y-intercept

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Answer:

y-intercept

Step-by-step explanation:

i was first :)

Answer:

c = 16

Step-by-step explanation:

We have (a + b)² = a² + 2ab + b²

x² + 8x + c is of the form a² + 2ab + b²

where x² = a²

8x = 2ab

and c = b²

⇒ x² + 8x + c = (x + √c)² which is a perfect square

x² = a² ⇒ x = a

8x = 2ab

⇒ 8x = 2xb

⇒ b = 8x/(2x)

⇒ b = 4

c = b²

⇒ c = 4²

⇒ c = 16

(x + √c)² = (x + √16)²

= (x + 4)²

= x² + 2(x)(4) + 4²

= x² + 8x + 16

Therefore, c = 16 makes the expression a perfect square

The direct proportion is y = kx, where k is a constant. It is parallel to the graph of the direct proportion is located on the first and third quadrants of the coordinate plane.

Explanation:In the Cartesian plane, we can show the relationship between two variables by plotting their coordinates as points. We can divide the plane into four regions called quadrants, which are numbered I, II, III, and IV in a counter-clockwise fashion, with the positive x-axis being the initial ray.

The direct proportion is defined as a relationship between two variables in which the quotient of their values is constant. The equation of a direct proportion can be written as y = kx, where k is a constant of proportionality.

In a Cartesian plane, if we plot the points (0,0), (1,k), (2,2k), (3,3k),…, and so on for the direct proportion y = kx, we obtain a straight line that passes through the origin (0,0). If we plot this line on the plane, it is located in the first and third quadrants, as it passes through both these quadrants.

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The magnitude of the acceleration of the speck of clay on the edge of the potter's wheel is approximately 4.85 meters per second squared.

To find the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel, we need to determine the angular velocity of the wheel first.

The angular velocity (ω) can be calculated using the formula:

ω = 2πf

Where f is the frequency of rotation in revolutions per second. In this case, the frequency is 51 rpm, which can be converted to revolutions per second by dividing by 60:

f = 51 rpm / 60 = 0.85 revolutions per second

Now we can calculate the angular velocity:

ω = 2π * 0.85 = 5.36 radians per second

The linear velocity (v) of the speck of clay on the edge of the wheel can be calculated using the formula:

v = ωr

Where r is the radius of the wheel. Since the diameter is given as 34 cm, the radius is half of that:

r = 34 cm / 2 = 17 cm = 0.17 meters

Now we can calculate the linear velocity:

v = 5.36 radians per second * 0.17 meters = 0.91 meters per second

Finally, the magnitude of the acceleration (a) can be calculated using the formula:

a = v^2 / r

Plugging in the values:

a = (0.91 meters per second)^2 / 0.17 meters = 4.85 meters per second squared

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Answer:

C

Step-by-step explanation:

We need to isolate x.

2tx-n³= 4f

2tx = 4f + n^3

x = (4f + n^3)/(2t)

Done!

The value of x is x= 2f/t + n³/2t.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2tx-n³=4f

Now, solving for x

2tx=4f + n³

x= 1/2t (4f + n³)

x= 4f/2t + n³/2t

x= 2f/t + n³/2t

Hence, the value of x is x= 2f/t + n³/2t.

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1. The conditional input demand for capital (1₂) is given as:  1₂ = (1 - a) / a * (Ar₁a₂-1 / r)

2. The cost function is given as:  C(w, r, y) = w1₁ + r1₂,

3. The substitution matrix is: S =  - [(1 - a) / a] * (r / w)

Cobb-Douglas production function: The Cobb-Douglas production function is a macroeconomic model that is used to describe how factors of production interact to create output.

It is given as:

f(1₁,1₂) = Ar₁a₂-a.

The input to the function includes labor and capital, which are represented by 1₁ and 1₂ respectively. A is a constant that reflects the state of technology, and a and (1 - a) are the elasticity of output with respect to labor and capital respectively.

The function is an example of a production function that is used to model the production process of an economy.

Conditional input demands: To derive the conditional input demands, we take the partial derivative of the production function with respect to each input. Deriving the conditional input demands with respect to labor (1₁) gives:

∂f/∂1₁ = Ar₁a₂-1

The conditional input demand for labor is the ratio of the marginal product of labor to the price of labor:

1₁ = (a / (1 - a)) * (Ar₁a₂-1 / w)

Similarly, the conditional input demand for capital (1₂) is given as:

1₂ = (1 - a) / a * (Ar₁a₂-1 / r)

Where w and r are the prices of labor and capital respectively.

Cost function: To derive the cost function, we multiply the price of each input by the quantity of the input used, and sum up the total.

The cost function is given as:

C(w, r, y) = w1₁ + r1₂,

where y is the level of output.

Substitution matrix: The substitution matrix is used to measure the degree of substitution between two inputs.

It is given as:

S = - (∂1 / ∂2) * (p2 / p1),

where p1 and p2 are the prices of the two inputs, and ∂1 / ∂2 is the cross-partial derivative of the production function with respect to the two inputs

. In this case, the substitution matrix is:

S = - (∂1 / ∂2) * (p2 / p1)

= - [(1 - a) / a] * (r / w)

The substitution matrix measures the degree of substitutability between capital and labor.

If the value of S is large, it implies that the two inputs are highly substitutable.

If the value of S is small, it implies that the two inputs are not very substitutable.

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Rounding to the nearest tenth of an ounce, the estimated weight of a bluegill that has a length of 9.5 inches is 96.2 ounces.

Here is how to use linear regression to estimate the weight of a bluegill that has a length of 9.5 inches:

We need to find a linear equation that can be used to predict the weight of a bluegill based on its length. To do this, we can plot the data points and draw a line of best fit through the data points to get the following scatter plot: bluegill scatter plot [image].

From the scatter plot, we can see that the data points roughly follow a straight line, so we can use linear regression to find the equation of that line. Linear regression is a statistical method used to fit a linear equation to a set of data points. We will use the equation y = mx + b where y is the response variable (the weight of the bluegill), x is the predictor variable (the length of the bluegill), m is the slope of the line, and b is the y-intercept of the line.

To use linear regression, we need to calculate the slope and y-intercept of the line: bluegill scatter plot with line of best fit [image]From the scatter plot, we can see that the line of best fit passes through the points (7,4) and (12,32), so we can use these two points to find the slope of the line:

slope = (y2 - y1) / (x2 - x1)slope = (32 - 4) / (12 - 7)

slope = 28 / 5

slope = 5.6.

Next, we can use one of the points and the slope to find the y-intercept of the line. We will use the point (7,4):y = mx + by = 5.6x + by = 5.6(7) + 4y = 39.2 + 4y = 43.2. Therefore, the equation of the line of best fit is: y = 5.6x + 43.2Now, we can use this equation to estimate the weight of a bluegill that has a length of 9.5 inches: y = 5.6x + 43.2y = 5.6(9.5) + 43.2y = 96.2

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Answer:

(4, - 0.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]

Here (x₁, y₁ ) = C(1, - 6) and (x₂, y₂ ) = D(7, 5) , then

midpoint = ( [tex]\frac{1+7}{2}[/tex] , [tex]\frac{-6+5}{2}[/tex] ) = [tex]\frac{8}{2}[/tex] , [tex]\frac{-1}{2}[/tex] ) = (4, - 0.5 )

Answer:

  9. y -1 = -1/3(x -0)   or   y -1 = -1/3x

  10. y +3 = -5/6(x -5)

  11. x = 1

  12. y -1 = 4(x -0)   or   y -1 = 4x

Step-by-step explanation:

In every case, the slope is calculated from ...

  m = (y2 -y1)/(x2 -x1)

Then that value is used in the point-slope equation:

  y -y1 = m(x -x1)

__

9) m = (2-1)/(-3-0) = 1/-3 = -1/3

  y -1 = -1/3(x -0)

__

10) m = (3 -(-3))/(0 -5) = 6/-5 = -5/6

  y +3 = -5/6(x -5)

__

11) m = (1 -3)/(1 -1) = -2/0 = undefined

No "y =" equation can be written for a line with undefined slope. The equation for a vertical line through these points with x-coordinate of 1 is ...

  x = 1

__

12) m = (5 -1)/(1 -0) = 4/1 = 4

  y -1 = 4(x -0)

Answer:

Each card will have a value of $15 when they equal after 600 days which also is 20 30-day periods.

Step-by-step explanation:

Card1: [tex]85 - \frac{3.50}{30} x[/tex]

Card2: [tex]75 - \frac{3}{30} x[/tex]

x is number of days

[tex]85 - \frac{3.50}{30} x = 75 - \frac{3}{30} x[/tex]

2550 - 3.50x = 2250 - 3x

2550 - 0.50x = 2250

-0.50x = -300

x = 600 days

Card1: [tex]85 - \frac{3.50}{30} (600)[/tex]

         85 - 70 = 15 dollars

Card2: [tex]75 - \frac{3}{30} (600)[/tex]

         75 - 60 = 15 dollars

The value of each card will be when they have equal value is $15.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now, Let x be the number of time periods for which the gift card is not used, then

For the gift card $ 85 if it is not used for x periods, then the amount that will be lost is

85 - 3.50 x---------------------(1)

For the gift card $ 75 if it is not used for x periods, then the amount that will be lost is

75 - 3x---------------------- (2)

Now when both the amount lost is equal

85 - 3.50 x = 75 - 3x

solving the equation, we get

or, 3.50 x - 3x = 85 -75

or, 0.50 x = 10

or,  x = 20

Thus the value of gift cards will be equal for 20 ,30 day periods.

Now,the value of each card be when they have equal​ value

The two cards  will have equal value after 20, 30 day periods, this denotes that at this time, the value of each card will be equal.

Then

85 - 3.50 x = 75 - 3x

substituting  x = 20, we get

85 - 3.50*20 = 75 - 3*20

85 - 70  = 75 - 60

15  = 15

So, when they have equal​ value, the value of each card will be $15.

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Answer:

The answer is 3/2x-11 therefore x is less than 4

Step-by-step explanation:

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Answer:  -41.5

Step-by-step explanation:

Multiply

3 over 2× ( −1 ) − 10 × 4 = (- 3/2 ) − 10 × 4

Multiply

(-3/2) − 10 × 4 = (-3/2) − 40

Subtract

(-3/2 −) − 40 + -83/2

Simplify

-83/2 = -41 1/2

Answer:

negative because the sum is -1.3

Step-by-step explanation:

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Answer: 3a+5

Step-by-step explanation:

2 - x + 6 - 1 + y  - x

Answer: 7 - 2x + y

Given :- [tex]\sf Lianna\: buys \:10 \:apples\: for \:\$ 6.50 .[/tex]

To Find :- [tex]\sf The\: unit \:price \:of \:each\: Apple .[/tex]

Answer :- Its given that cost of 10 apples is $6.50 .

So, by Unitary method , we can solve this ,

→ Cost of 10 apples is $ 6.50.

→ Cost of 1 apple will be [tex]\sf \dfrac{\$6.50}{10}[/tex]

=[tex]\red{\bf \$0.65}[/tex]

Hence the required answer is $0.65.

We can conclude that at least 56% of the data values will fall in the range of $48 to $60.

Given data: The average labor charge for automobile mechanics is $54 per hour.

The standard deviation is $4.

Using Chebyshev’s theorem, we need to find the percentage of data values that will fall in the range of $48 to $60.

Chebyshev's theorem states that at least 1-1/k2 of the data will lie within k standard deviations of the mean of a random data set.

It does not depend on the shape of the data distribution, only the standard deviation is used in the calculations.

The formula for Chebyshev's theorem is:

1-1/k2  where k is the number of standard deviations from the mean.

Let's find the value of k first. k is calculated as:

k = (upper limit of the range - the mean) / the standard deviation

= (60 - 54) / 4

= 1.5k

= (mean - lower limit of the range) / the standard deviation

=  (54 - 48) / 4

= 1.5

Now, we will use Chebyshev's theorem to find the percentage of data that will fall within this range:

1-1/k2 = 1 - 1/1.5²

= 1 - 0.44

= 0.56

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Answer:

8+x/2 = 12

=> x/2 = 12 - 8

=> x/2 = 4

=> x = 4 * 2

=> x = 8

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