Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answer:

40% of ___ is 16

So then 10% of ___ is 4

Then do 4 x 10 = 40

So 40% of 40 is 16.

3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

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There are several ways to solve this puzzle and get as close to zero as possible while still meeting the constraints.

One possible way is:

6 / 2 = 3 + 5 - 9 x 1

This equation can be simplified as follows:

6 / 2 = 3 + 5 - 9 x 1

3 = 3 + 5 - 9

3 = -1

However, this solution violates the constraint of making a true statement. Therefore, we need to adjust the equation to make it true while still getting as close to zero as possible. One way to do this is:

6 / (2 + 1) = 3 + 4 - 5 x 9

This equation can be simplified as follows:

6 / (2 + 1) = 3 + 4 - 5 x 9

2 = -38

This solution meets the constraint of making a true statement and gets as close to zero as possible.

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Answer: should be the last answer! to the right.

Step-by-step explanation:

You have 30 coins and the d are dimes and q are quarters

Answer: -6x+18

Step-by-step explanation:

-3(2x-6)=

-3*2x-(-3*6)=     ==> During distribution

-6x-(-18)=-6x+18    ==> After distribution property

(a) The profit of the firm at the current employment levels of 25 units of labor and 50 units of capital can be calculated by subtracting the total cost from total revenue.

The total revenue is given by the output multiplied by the market price, which is $2. The total cost is the sum of the wage cost (W) and the rental cost of capital (R), multiplied by their respective quantities.

Profit = Total Revenue - Total Cost

Profit = (Output * Price) - (Wage * Labor + Rental * Capital)

Given that the output is determined by the production function Y = 100K^(1/2) + 40L^(1/2), the profit can be calculated as follows:

Profit = (100K^(1/2) + 40L^(1/2)) * $2 - ($8 * 25 + $10 * 50)

(b) The profit-maximizing quantity of capital for this firm can be determined by setting the marginal revenue product of capital (MRPK) equal to the rental cost of capital (R). MRPK represents the additional revenue generated by employing an additional unit of capital.

MRPK = R

The marginal revenue product of capital can be calculated as the partial derivative of the production function with respect to capital (K), multiplied by the market price (P):

MRPK = (∂Y/∂K) * P

Using the production function Y = 100K^(1/2) + 40L^(1/2), we can calculate the marginal revenue product of capital as follows:

MRPK = (∂Y/∂K) * P = (50K^(-1/2)) * $2

Setting this equal to the rental cost of capital (R) of $10, we have:

(50K^(-1/2)) * $2 = $10

Simplifying the equation, we find:

K^(-1/2) = 1/5

Squaring both sides of the equation, we get:

K = 25

Therefore, the profit-maximizing quantity of capital for this firm is 25 units.

(c) To raise profits, the firm should decrease its capital employment from 50 to 25 units. This is because the profit-maximizing quantity of capital is determined to be 25 units, as calculated in part (b). By employing fewer units of capital, the firm can reduce its rental cost while still maintaining the optimal level of capital for production. As a result, the firm can lower its total cost and increase its profit. Employing more capital beyond the profit-maximizing level would lead to diminishing returns, where the additional costs outweigh the additional revenue generated. Therefore, reducing capital employment to the optimal level of 25 units would be the most favorable decision for the firm to maximize its profits.

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Answer:

−4(x−7)=36

−4(x−7)=36

−4x+28=36

−4x+28−28=36−28

−4x=8

−4x−4=8−4

x=−2

Hoped I helped!

Step-by-step explanation:

Answer:

x=−2

Step-by-step explanation:

 Slope = 0.500/2.000 = 0.250

 x-intercept = 8/1 = 8.00000

 r-intercept = 8/-4 = 2/-1 = -2.00000

The values into the equation, you can determine the molar absorptivity (ϵ) at λmax for the blue dye in units of cm−1·μm−1.

To determine the value of ϵ (molar absorptivity) at λmax (wavelength of maximum absorption) for the blue dye, we would need access to the specific data from the spectrometer simulation.

Without the actual values, it is not possible to provide an accurate answer.

The molar absorptivity (ϵ) is a constant that represents the ability of a substance to absorb light at a specific wavelength. It is typically given in units of L·mol−1·cm−1 or cm−1·μm−1.

To obtain the value of ϵ at λmax for the blue dye, you would need to refer to the absorption spectrum data obtained from the spectrometer simulation.

The absorption spectrum would provide the intensity of light absorbed at different wavelengths.

By examining the absorption spectrum, you can identify the wavelength (λmax) at which the blue dye exhibits maximum absorption. At this wavelength, you would find the corresponding absorbance value (A) from the spectrum.

The molar absorptivity (ϵ) at λmax can then be calculated using the Beer-Lambert Law equation:

ϵ = A / (c * l)

Where:

A is the absorbance at λmax,

c is the concentration of the blue dye in mol/L, and

l is the path length in cm (in this case, 1 cm).

By substituting the values into the equation, you can determine the molar absorptivity (ϵ) at λmax for the blue dye in units of cm−1·μm−1.

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Part A: Wednesday's stock value is 4 times Tuesday's. Friday's value is one-fifth of Thursday's.
Part B: Mr. Kwon should sell on Monday, the day with the highest number stock value.



Part A:
To find the value of the stock on Wednesday, we know that it was 4 times its value on Tuesday. Let's denote the value on Tuesday as x. Therefore, the value on Wednesday would be 4x.

Value on Wednesday = 4 * Value on Tuesday = 4 * x

To find the value of the stock on Friday, we know that it was one-fifth of what it was on Thursday. Let's denote the value on Thursday as y. Therefore, the value on Friday would be one-fifth of y.

Value on Friday = (1/5) * Value on Thursday = (1/5) * y

Part B:
Mr. Kwon should sell his stock on the day it has the greatest worth, which is when it will make the greatest profit. From the given information, we can see that the value of the stock decreases over time. Therefore, Mr. Kwon should sell his stock on Monday, the day when it initially costs $58. This ensures that he sells it at the highest value and makes the greatest profit.

For Question 7:
The correct answers indicating that multiplication should be used are A (times), C (product of), and F (at this rate). These phrases suggest the combining of quantities or the calculation of a total by multiplying values together. Multiplication is the appropriate operation when interpreting these phrases in a mathematical context.


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Answer:

0.20

Step-by-step explanation:

Since the rest of the choices are greater then 22

Answer:

x=-9

Step-by-step explanation:

(^-^)

Answer:

proper fractions:

4/10=0.4(decimal form)

5/100=0.05(decimal form)

1000/10000=0.1(decimal form)

2/4=0.5(decimal form)

11/55=0.2(decimal form)

Step-by-step explanation:

Answer:

1/2 2/7 9/10

Step-by-step explanation:

hope it helps

Answer:

uyyyyy

Step-by-step explanation:

This may be computed by dividing his hitting % by the number of times he bats (20). (0.8). 20 x .8 = 16

Percentage:

a: a part of a whole expressed in hundredths a high percentage of students attended.

b: the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

c: a share of winnings or profits.

If Henrie hits 80% of the time he's at bat, and he is up to bat 20 times this weekend, he is expected to hit 16 times. This can be calculated by multiplying the number of times he is up to bat (20) by his hitting percentage (0.8). 20 x .8 = 16

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Answer:

The answer is the equation for the function describing the movement of the buoy:

f(x) = 5 * sin(2 * pi * x / 16) + 8

Step-by-step explanation:

To graph the function, we need to find an equation that describes the buoy's movement. Since the buoy bobs up and down 5 meters from the ocean's depth, we can use the sine function. The amplitude of the function is 5, since the buoy moves 5 meters from the normal ocean depth. The period of the function is 16 seconds, since it takes 16 seconds for the buoy to go from its highest point to its lowest point.

Using this information, we can write the equation for the function as:

f(x) = 5 * sin(2 * pi * x / 16) + 8

where x is the time in seconds.

The first point on the graph would be (0, 8), since at x = 0 the buoy is at normal ocean depth. The second point would be either a maximum or minimum value on the graph closest to x = 0, which can be found by finding the derivative of the function and setting it equal to zero.

The graph of the function would look like a wave that oscillates up and down, with a maximum value of 5 meters above the normal ocean depth and a minimum value of 3 meters below the normal ocean depth.

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Answer:

3 units

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

In this problem, the equation is basically as follows:

F(x)=0.5x+12

where f(x) is the total cost and x represents the number of rides

F(6)= 15 means that the total cost of the amusement park when a person rides six rides is $15.

The area of the smaller shape is 27 square cm.

The square of the side ratio will be the ratio of the areas of two similar shapes whose sides are a ratio of 3:4.

Considering that the region of the bigger shape is 48 square cm, and the proportion of the sides is 3:4, we can set up the accompanying condition:

(4/3)2 * The smaller shape's area is equal to the larger shape's. This simplifies the equation:

16/9 * The smaller shape's area is 48 when divided by 16/9 on both sides:

The smaller shape has a surface area of 27 square centimeters, or 48 times (16/9) the larger shape's surface area, or 48 times (9/16) the smaller shape's surface area.

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Answer:

The coupon represents a sales promotion tool in the promotion mix.

The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.

A variable that indicates a quantity being altered in an experiment is known as an independent variable. In equations, x is frequently used to denote the independent variable. A variable that indicates a quantity being altered in an experiment is known as an independent variable. Values that fluctuate in relation to one another are independent and dependent variables in mathematics.

Given.

The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.

In other words, the number of values that can change in a statistical calculation is referred to as the degree of freedom.

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Answer: 9 hours

Step-by-step explanation:

Amount of money/ amount of hours worked
154/11 = 14

$14 made per hour, so $126 divide by 14 would equal to how many hours worked to have a same rate of $14 per hour.

126/14 = 9

The value of x and y in the algebra (3x - y, 2) = (2, x + y) ​ are 1 and 1 respectively.

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Given the algebra:

(3x - y, 2) = (2, x + y) ​

Therefore, equation:

3x - y = 2        (1)

Also:

x + y = 2        (2)

From both equations, solving simultaneously:

x = 1, y = 1

The value of x and y are 1 and 1 respectively.

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Answer:

\(\frac{-7}{24}\)=r

Step-by-step explanation:

3÷8=r+2÷3

\(\frac{3}{8}\)=r+\(\frac{2}{3}\)

\(\frac{3}{8}\)-\(\frac{2}{3}\)=r

(make the denominators same)(LCM of 8 and 3=24)

\(\frac{3}{8}\)(\(\frac{3}{3}\))+\(\frac{2}{3}\)(\(\frac{8}{8}\))=r

\(\frac{9}{24}\)-\(\frac{16}{24}\)=r

\(\frac{9-16}{24}\)=r

\(\frac{-7}{24}\)=r

Answer:

the parallel lines

Step-by-step explanation:

the title is classifying angles... the parallel lines don't have an angle so I'm guessing it's the parallel lines

The cumulative frequency distribution indicates the total number of data items with values below the class's upper limit.

Cumulative frequency analysis examines how frequently values of a phenomena occur that are less frequent than a reference value. The phenomenon could depend on time or place. Another name for cumulative frequency is frequency of non-exceedance. Each frequency from a frequency distribution table is added to the total of its predecessors to determine the cumulative frequency. Since all frequencies will have previously been added to the prior total, the final result will always be equal to the sum of all observations. The quantity of an element in a set is referred to as the element's frequency. The accumulation of all earlier frequencies up to the present time is another definition for cumulative frequency.

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