State the coordinates of the center and the measure of the radius of the circle with equation (x-1)^2+(y-4)^2=9 then graph the equation

Answer:

\(x^3-10\)

Step-by-step explanation:

Let the number be x.

"A number cubed" refers to x³.

"Difference" means to subtract, so the answer is \(x^3-10\).

Answer:

D. y = { -x + 2 x ≥ 1}

          { x + 1  x < 1}

Step-by-step explanation:

First is to eliminate A and C, why?

This is because of the end points shown on the graph.

As shown, if you look at the point of (2,1) it is black, this means that not only is it closed but it is also means ≤ or ≥ symbol.

You are now left with B and D

The difference between these two is the symbols; they are facing the opposite directions.

While B says x ≤ 1, and x > 1

While D says x ≥ 1, and x < 1

The direction of the symbols depends on the direction of the lines and what is part of it (some what like a shaded area)

So you answer would be D

The area in square inches that makes up half of the cookie cake is 615.44 square inches.

Given that the diameter of the circular cookie cake is 14 inches. The area of a circle is given as πr², here r is the radius of the circle.
The area of the half of the cookie cake is:

Area of the half of the cookie cake = π × r²

                                                          = π × (14 inches)²

                                                          = π × (14 inches)²

                                                          = 615.44 square inches

Hence, the area is 615.44 square inches.

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Answer:

For example, the linear equation 3y + 2x = 6 has an x intercept when y = 0, so 3(0) + 2x = 6. The x-intercept is (3, 0). Likewise the y-intercept occurs when x = 0. The y-intercept is (0, 2).

...

Graph the linear equation y + 3x = 5.

x values 5 – 3x

Step-by-step explanation:

hope this helps

The body style of an automobile (sedan, coupe, wagon, etc.) is an example of a discrete nominal variable. The correct option is A.

A discrete nominal variable is a categorical variable where the categories are distinct and have no inherent order or numerical value associated with them. In the case of the body style of an automobile, the different categories (sedan, coupe, wagon, etc.) are distinct and do not have a specific order or numerical value. Each body style is simply a distinct category without any inherent ranking or measurement. Therefore, the correct option is A. Discrete nominal.

""

Continuous variable 6. The body style of an automobile (sedan, coupe, wagon, etc.) is an example of a

A. Discrete nominal

B. Discrete ordinal

C. Continuous interval

D. Continuous ratio

""

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Answer:

8

Step-by-step explanation:

since u first do six + 8 which is 14. Then u do 14 - 4 which is 10

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Answer:

x=2

Step-by-step explanation:

x = the number

x + 6 = 6x - 4

Solve for x and get

5x = 10

Both events A and B have probabilities of 1/12, and they are independent events since the outcome on one die does not affect the outcome on the other die.

The event A consists of all outcomes in which the number of spots showing on the red die is three or less.

Since the red die has six equally likely outcomes (1, 2, 3, 4, 5, and 6), the probability of A is:

P(A) = the number of outcomes in A / the total number of possible outcomes.

Out of the six possible outcomes on the red die, three of them are three or less: 1, 2, and 3.

Therefore, the number of outcomes in A is three.

Since there are six equally likely outcomes for the green die as well, the total number of possible outcomes is 6 x 6 = 36.

Therefore, we have:

P(A) = 3/36 = 1/12.

The event B consists of all outcomes in which the number of spots showing on the green die is more than three.

There are also three outcomes on the green die that satisfy this condition: 4, 5, and 6.

Thus, we have:

P(B) = 3/36 = 1/12.

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a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.

a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:

TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)

Given:

DEPART = 0 (as he leaves on time at 6:30)

REDS = 0 (no red lights)

TRAINS = 0 (no trains to wait for)

Substituting these values:

TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)

    = -19.9166

Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.

b) The estimated coefficients of REDS and TRAINS in the regression model are:

1.3353 (REDS)

2.7548 (TRAINS)

Interpreting the coefficients:

- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.

- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.

c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.

Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.

Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.

We can use the t-test to test this hypothesis. The t-value is calculated as:

t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS

Given:

Coefficient of TRAINS = 2.7548

Hypothesized value = 3

Standard error of coefficient of TRAINS = 0.1390

t-value = (2.7548 - 3) / 0.1390

       = -0.2465 / 0.1390

       ≈ -1.7733

Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.

Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.

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From the graph provided, the coordinates of the two points are;

The distance between two points is;

Then, we substitute the values into the formula, we have;

The distance d, between the points is;

Answer: equal to

Step-by-step explanation:

If c is zero and b+c=a then b would equal a

Answer:

x=3

Step-by-step explanation:

8x-3x=27-12

5x=15

x=15/5=3

x=3

Answer:

x=3

Step-by-step explanation:

8x + 12 = 3x + 27

Subtract 3x from both sides.

5x+12=27

Subtract 12 from both sides.

5x=15

Divide 5 from both sides.

x=3

Hope this helps!

Please mark as brainliest if correct!

Answer:

D

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The correct answer is option (c) 2.06.  For every dollar of debt, Blaine and Lindsay have approximately $2.06 in assets

The asset-to-debt ratio for Blaine and Lindsay McDonald can be calculated by dividing their total assets by their total debt. Using the given values, the calculation would be as follows:

Asset-to-debt ratio = Total assets / Total debt

                   = $346,000 / $168,000

The asset-to-debt ratio is a financial metric that provides insight into the financial health and leverage of an individual, company, or entity. It measures the proportion of assets to debt and is used to assess the ability to meet financial obligations and the level of risk associated with the amount of debt.

In this case, Blaine and Lindsay McDonald have total assets valued at $346,000 and total debt of $168,000. By dividing the total assets by the total debt, we obtain the asset-to-debt ratio of approximately 2.06. This means that for every dollar of debt, Blaine and Lindsay have approximately $2.06 in assets. A higher asset-to-debt ratio generally indicates a stronger financial position and lower risk, as there are more assets available to cover the debt obligations.

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Answer:

52 for every 65 girls

Step-by-step explanation:

12 boys for every 15 girls

Answer:

b. Sorted and listed from the minimum to the maximum values

Step-by-step explanation:

A percentile can be defined a measure that is made use of statistics.

A percentile is a statistical measure that indicates or shows comparison amongst a given set of data.

A percentile tells us the value or scores below which a percentage of a given observation in a data set falls.

In other to be able to effectively obtain the percentile if a given set of data, the following steps must be taken.

Step 1: Arrange, sort and list the values of the given the data set in order from lowest to the highest

Step 2: Multiply the percentage (also represented by P ) by total number of values in the data set( also represented by N)

Step 3: The value obtained from step 3 is know as the rank and this would helps us to find the percentile f a given data set.

The formula for calculating a percentiles is given as

= (P/100) x N,

where

P = percentile

N = number of values in a data set (sorted or arranged from lowest to highest)

n = Rank of a given value.

Answer:

Step-by-step explanation:

\(\Rightarrow \: \:\sf\purple{ 2z - 6 = 20}\)

\(\Rightarrow \: \:\sf\green{ 2z = 20 + 6}\)

\(\Rightarrow \: \:\sf\purple{ 2z = 26}\)

\(\Rightarrow \: \:\sf\green{ 2z \div 2 = 20 \div 2}\)

\(\Rightarrow \: \:\sf\purple{z = 26 \div 2}\)

\(\Rightarrow \: \:\sf\pink{z =13}\)

\(\bf\red{Hope \: it \: helps}\)

If the stove is run on 120 V instead of 240 V, it would receive approximately 61.02 W of power.

To determine the power the stove would receive if it was run on 120 V instead of the normal 240 V, we can use the relationship between power, voltage, and current.

The power equation is given by:

P = V * I

Where:

P is the power (in watts)

V is the voltage (in volts)

I is the current (in amperes)

We can rearrange the equation to solve for the current:

I = P / V

Given that the stove requires 2,929 W to operate at 240 V, we can calculate the current at 240 V:

I1 = 2929 W / 240 V

Next, we can calculate the power at 120 V using the current at 240 V:

P2 = V2 * I1

Where:

V2 is the new voltage (120 V)

I1 is the current at 240 V

Substituting the values:

P2 = 120 V * (2929 W / 240 V)

Simplifying:

P2 = 14645 W / 240

Calculating the value:

P2 ≈ 61.02 W

Therefore, if the stove is run on 120 V instead of 240 V, it would receive approximately 61.02 W of power.

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Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

10x = 30

→ Divide both sides by 10

x = 3

Life Insurance Corporation (LIC) issued a policy in his favor charging a lower premium than what it should have charged if the actual age had been given. the optimal solution of the primal problem is (x1,x2,x3)=(5,0,10) and the objective function value is 45,000.

The optimal value of the given LP problem is 45,000. In this problem,  x1 = 5,

x2 = 0 and

x3 = 10.

Therefore, the objective function value = 7x1 + 5x2 + 9x3 will be 45,000, which is the optimal value.

problem is Minimize z = 7x1 + 5x2 + 9x3

subject to the constraints: i. 2x1 + x2 – 0.5x3 ≤ 5ii. 0.9x1 - 0.1x2 - 0.1x3 ≤ 10iii. x1 ≤ 14iv. x2 ≤ 20v. x3 ≤ 10vi. 3x1 + x2 + 2x3 ≤ 50

Duality: Maximize z = 5y1 + 10y2 + 14y3 + 20y4 + 10y5 + 15,000y6

subject to the constraints:2y1 + 0.9y2 + y3 + 3y6 ≥ 7y1 - 0.1y2 + y4 + y6 ≥ 0.5y1 - 0.1y2 + y5 + 2y6 ≥ 0y3, y4, y5, y6 ≥ 0 Now, we will solve the dual problem using the Simplex method. Using Excel Solver, As per complementary slackness theorem, the value of the objective function of the dual problem = 45,000, which is same as the optimal value of the primal problem. Therefore, the optimal solution of the primal problem is (x1,x2,x3)=(5,0,10) and the objective function value is 45,000.

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Answer:

i would help but i forgot the formula smh

Answer:

264 sq ft.

Step-by-step explanation:

Find the SURFACE area. Find the areas for all the shapes surfaces, not the volume.

Vic would think that the amount of butter in Imani's cookies is appropriate since the ratio of flour to butter used in Imani's recipe is the same as the ratio used in Vic's favorite cookie recipe, which is 250:170 grams of flour to butter.

Specifically, in Vic's recipe, there are approximately 1.47 grams of flour for every gram of butter (250/170), while in Imani's cookies, there are approximately ratio 1.19 grams of flour for every gram of butter (750/630). This means that there is relatively more butter in Imani's cookies compared to Vic's recipe. Based on this difference, Vic might expect Imani's cookies to have a richer, denser texture and a stronger buttery flavor than his favorite recipe.

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In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable, which is manipulated in order to observe its effect on the dependent variable.

In the analysis of variance procedure (ANOVA), factor refers to:
b. the independent variable

In ANOVA, a factor is an independent variable that is manipulated or controlled to investigate its effect on the dependent variable. Different levels of a factor represent the variations in the independent variable being tested. The different levels of a treatment are often created by manipulating the factor.
In contrast, independent variables are not considered dependent on other variables in various experiments. [a] In this sense, some of the independent variables are time, area, density, size, flows, and some results before the affinity analysis (such as population size) to predict future outcomes (dependent variables).

In both cases it is always a variable whose variable is examined through a different input, statistically also called a regressor. Any variable in an experiment that can be assigned a value without assigning a value to another variable is called an independent variable.

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Cost of posting 3 small, 9 medium and 2 large parcels = $94.45

Let the cost of a small parcel be x

Let the cost of a medium parcel be y

Let the cost of a large parcel be z

Cost of 6 small, 8 medium and 9 large parcels:

6x + 8y + 9z = 173.20------(1)

Cost of 7 small, 13 medium and 17 large parcels:

7x + 13y + 17z = 291.5-------(2)

Also, a large parcel costs twice as much as a small parcel, therefore

z = 2x

Substituting z = 2x in equation (1) and (2) we get:

24x + 8y = 173.20------(3)

41x + 13y = 291.5--------(4)

Multiplying equation (3) with 13 and equation (4) with 8 we get

312x + 104y = 2251.6

328x + 104y = 2332

By solving the equations we get

16x = 80.4

x = 5.02

Putting x = 5.02 in equation (3) we get:

y = 6.59

z = 10.04

Cost of posting 3 small, 9 medium and 2 large parcels: 3*5.02 + 9*6.59 + 2*10.04 = 15.06 + 59.31 + 20.08 = $94.45

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Answer: Since they borrowed a total of $3000 in March and April, their total loan amount is $3000 + $3000 = $6000.

To pay back the loan over 12 months, the amount their balance will be reduced each month is:

$6000 / 12 = $500

Therefore, the expression that represents the amount of money their balance will be reduced each month is $500.

Step-by-step explanation:

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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An eating disorder characterized by bingeing and purging is called bulimia nervosa.

The minimum amount of body fat needed for good health is variable and can depend on factors such as age, gender, and individual circumstances. However, essential body fat is typically estimated to be around 3-5% for men and 8-12% for women.

The term used to describe a person who is very overfat is obese. Obesity refers to having excessive body fat, which can have negative effects on health.

People with anorexia nervosa, an eating disorder characterized by restrictive eating and an intense fear of gaining weight, often see themselves as too fat even when they are extremely thin. This distorted body image is a characteristic feature of anorexia nervosa.

A technique for assessing body fat levels that involves being weighed under water is called hydrostatic weighing or underwater weighing. It is considered one of the more accurate methods for determining body composition.

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