Solve for x. Assume that lines are diameters?

The general form of the equation of the given circle with center A is (x − h)² + (y − k)² = a².

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The circle with center A

The general form of the equation of a circle is: x2 + y2 + 2gx + 2fy + c = 0.

The equation of the circle is given by  (x−h)² + (y−k)² = a²

Here, h and k are the x and y coordinates of the circle and a is the radius of the circle.

Thus, the standard equation of a circle is  (x−h)² + (y−k)² = a².

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The independent variable for Scenario A is given as follows:

a. The employee benefits package.

In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:

In the context of this problem, we have that the input and the output of the relation are given as follows:

Hence the independent variable for Scenario A is given as follows:

a. The employee benefits package.

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Answer:

If y^2 + 18 = 27, we can solve for y as follows:

y^2 + 18 = 27

Subtracting 18 from both sides, we get:

y^2 = 9

Taking the square root of both sides, we get:

y = ±3

Since we are looking for the positive value of y, we can discard the negative solution and conclude that the positive value of y is:

y = 3.

Answer:

y = 3

Step-by-step explanation:

Given the equation:

\(y^2 + 18 = 27\)

We can solve for y by:

\(\begin{aligned}y^2 + 18 &= 27 \\ \underline{-18} &\text{} \ \ \ \ \underline{-18}\\ \sqrt{y^2} &= \sqrt{9} \\ y &= \pm3\end{aligned}\)

Finally, we can take only the positive value of y, which answers the question.

\(y= 3\)

If one diagonal of a kite is twice as long as the other diagonal and the area of the kite is 240 square inches, then the length of the shorter diagonal is 4√15 inches and the length of the longer diagonal is 8√15 inches.

To find the length of the diagonals, follow these steps:

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Answer:

37.5 miles per gallon.

Step-by-step explanation:

The bar diagram of the values is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The equation of the above details cannot be determined

This is so because the parameters do not represent a relation

Next, we make the bar graph

See attachment for the bar graph

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Answer:

Find the exact value using trigonometric identities.

Exact Form: x=34

Decimal Form: x=0.75

Step-by-step explanation:

The value of x is 3.

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

\(9^{-1/2} = 27^{1/4}\)÷\(3^{x +1}\)

\([3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}\) ÷\(3^{x +1}\)

\(3^{-1}\) = 3 ÷\(3^{x +1}\)

\(3^{-1}\)= \(\frac{3}{3^{x+1}}\)

\(3^{-1}= 3^{1-x+1}\)

\(3^{-1}= 3^{2-x}\)

On comparing we get,

-1=2-x

x= 3

Hence, the value of x is 3.

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Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

First, imagine a line drawn from the bottom of the 3 cm section all the way across. This would leave us with two different rectangles that we can find the area of.

The first rectangle, we know the dimensions of: 6 x 3

The second rectangle, we need to figure out its height. The height of the entire figure is 8 and 3 of those centimeters are taken up by our other rectangle. Therefore, the height of the other rectangle must be 5 because 8 - 3 = 5. The dimensions, then, are 10 x 5.

6 x 3 = 18

10 x 5 = 50

50 + 18 = 68

Answer: 68 cm^2

Hope this helps!

Answer:

68 cm squared

Step-by-step explanation:

Hey there!

In order to find the area of this shape, you can split the shape into two parts

(split shape is in first screenshot)

First, we need to find the new dimensions

The bigger square has dimensions 6 and 8

Multiply them together

48

This is the area for the bigger square

Now we take the smaller square

The dimensions for that are 5 and 4

Multiply them together

20

Now we add the two areas to get the total area

48 + 20

68

So, the total area of this compound shape is 68 cm squared

In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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Step 1:

Write the function:

Step 2:

To find the height after 1 second, you will substitute t = 1

Final answer

364

Answer:

x= -1

y= 2

Step-by-step explanation:

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2

 y-intercept = 2/1  =  2

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x= -1

 x-intercept = 2/-2 = 1/-1  = -1

Answer:

Step-by-step explanation:

To convert from Cartesian coordinates to polar coordinates:

Therefore, for the given coordinate:

Hence, the polar coordinates of the given cartesian coordinates:

68.5% of Colton's gross pay is take-home pay. To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and then multiply by 100 to convert the resulting decimal to a percentage.

To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and multiply the resulting decimal by 100 to express it as a percentage. Colton's gross pay is $1421.50 and his net pay is $973.48. Dividing the net pay by the gross pay gives a result of 0.685, or 68.5% when converted to a percentage. This means that 68.5% of Colton's gross pay is take-home pay, or the amount of money that he receives after deductions are made. Therefore, Colton's take-home pay is $973.48, which is 68.5% of his gross pay.

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height = 2.25 * box.

So, 14 boxes = 2.25 * 14 = 31.5.

Answer: 25

Step-by-step explanation:

it would take her 25 min

sum of triangle angles = 180

so

? = 180 - 36 - 92 = 52°   => D

Step-by-step explanation:

hope it is helpful to you

She will have run a total of 2.25 racers in 27 racers

From the question, we have the following parameters that can be used in our solution:

Total number of racers = 27 racers

Number of racers in a run = 12 racers

From the above parameter, we can calculate the total number of racers using the following equation

The total number of racers is calculated as

Total number of racers in the run = Total number of racers/Number of racers in a run

Substitute the known values in the above equation

So, we have the following equation

Total number of racers in the run = 27/12

Evaluate the quotient

Total number of racers in the run = 2.25

Hence, the total number of racers in the run is 2.25 racers

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the square root of the number equal or greater than 25 are 626 and 700.

What is inequality?

Mathematical expressions with inequalities on both sides are known as inequalities. In an inequality, we compare two values as opposed to equations. In between, the equal sign is changed to a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Olivia is chosen for the 12U softball team. What age is Olivia? Because it doesn't mention "equals," you are unaware of Olivia's age. But since you already know Olivia's age to be below or equal to 12, you can write it as Olivia's Age 12. This scenario relates to disparities in the real world.

The average slope over the longer intervals will be the average of the slopes in the (same length) intervals that make up the longer interval.

The given expression √x ≥ 25

So the square root of the number equal or greater than 25 are 626 and 700.

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For the polynomials p(x) = 1 - x + 4x² and q(x) = x - x², (p, q) = 10, ||p|| = √18, ||a|| = √18, and d(p, q) cannot be determined. For the vectors u = (0, 2, 3) and v = (2, 3, 0), (u, v) = 6, ||u|| = √13, ||v|| = √13, and d(u, v) cannot be determined.

In the first scenario, we have p(x) = 1 - x + 4x² and q(x) = x - x². To find (p, q), we substitute the coefficients of p and q into the inner product formula:

(p, q) = (1)(0) + (-1)(2) + (4)(3) = 0 - 2 + 12 = 10.

To calculate ||p||, we use the formula ||p|| = √((p, p)), substituting the coefficients of p:

||p|| = √((1)(1) + (-1)(-1) + (4)(4)) = √(1 + 1 + 16) = √18.

For ||a||, we can use the same formula but with the coefficients of a:

||a|| = √((1)(1) + (-1)(-1) + (4)(4)) = √18.

Lastly, d(p, q) represents the distance between p and q, which can be calculated as d(p, q) = ||p - q||. However, the formula for this distance is not provided, so it cannot be determined. Moving on to the second scenario, we have u = (0, 2, 3) and v = (2, 3, 0). To find (u, v), we use the given inner product formula:

(u, v) = (0)(2) + (2)(3) + (3)(0) = 0 + 6 + 0 = 6.

To find ||u||, we use the formula ||u|| = √((u, u)), substituting the coefficients of u:

||u|| = √((0)(0) + (2)(2) + (3)(3)) = √(0 + 4 + 9) = √13.

Similarly, for ||v||, we use the formula with the coefficients of v:

||v|| = √((2)(2) + (3)(3) + (0)(0)) = √(4 + 9 + 0) = √13.

Unfortunately, the formula for d(u, v) is not provided, so we cannot determine the distance between u and v.

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Answer:

X=44

Step-by-step explanation:

Azimuth is the angle measured in a horizontal circle around your horizon.

In this question,

The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.

A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.

Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).

The meridian is an imaginary North-South line running through the zenith.

Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.

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Answer:

11

Step-by-step explanation:

6 2/8 = 6 1/4

6 1/4 + 4 3/4 = 10 4/4

11

Answer:

11

Step-by-step explanation:

add the whole numbers and fractional parts of the mixed numbers separately

(6+4) +(2/8+3/4)

10+(2/8+3/4)

10+1

11 is the answer

Answer:

x= 10

Step-by-step explanation:

27÷6= 4.5

27×4.5= 6

so,

45÷4.5=10

Answer:

7.5

Step-by-step explanation:

45 divided by 6 i don't know but I just wanted to try

Given

Number squared subtracted fom 3 times the number is equal to negative 70.

Find

Set up quadratic equation and solve by factoring

Explanation

Let the number be x.

according to the question,

then,

by solving , we get

Final Answer

quadratic equation =

and factors are -7 and 10

Answer:

20

Step-by-step explanation:

-3+ 2(4) - 3(-5)

= -3+ 8 + 15

=20

Answer:

1. H

2.C

3.G

Step-by-step explanation:

Answer:

H, B, and J

Step-by-step explanation:

range is the y-axis, and domain is the x-axis.

Answer:

8192 cases/week

Step-by-step explanation:

We know that one driver makes 64 deliveries per week.  We can write that as 64 deliveries/week.  

We can write "For each delivery, he delivers 74 cases of dry goods and 54 cases of canned goods" as 74 cases dry food/delivery and 54 cases canned good/delivery.  This is a total of 128 cases food/delivery.

To answer how many cases in total for 1 week, we can multiply as follows, taking care that the units will cancel in a way that leaves just cases/week as the answer.

(64 deliveries/week)(128 cases food/delivery) = 8192 cases/week

The result of hypothesis test on the given data null hypothesis is accepted and alternate hypothesis is rejected.

Hypothesis testing is a type of measurable deduction that utilizes information from an example to make determinations about a populace boundary or a populace probability distribution. Initial, a conditional supposition that is made about the boundary or dispersion. This supposition that is known as the invalid speculation and is meant by H0.

We have,

mean(X) = 162, n = 20 , standard deviation(σ) = 45,

Let us consider Null hypothesis H₀: μ=145

And alternate hypothesis Hₐ : μ\(\neq\) 145

So, Z = X -  μ/σ/√n

Z = 162 - 145/45/√20 = 1.68

Now Level of significance(α)= 0.05

From the Z table,

Z = 1.96

So,  1.68 < 1.96

Thus, Null hypothesis is accepted and alternate hypothesis is rejected.

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