Determine the slope and y-intercept of the line represented by the linear equation:y + 2 = 0. Graph the line using the slope and y-intercept. Describe, in complete sentences, what type of linear relationship the solutions (points) of the line have with each other. Choose two points on the line and prove that they are solutions of the linear equation.

Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

Answer:

1000

Step-by-step explanation:

5% of my 20000 is 1000 so 21000 total or 1000 anually

Answer:

c) 104

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

First, isolate the variable by subtracting 5 on both sides:

3x=9

Then, divide both sides by 3:

x = 3

The height of the building is 71 meters.

We can solve this problem using the similar triangles. The height of the building can be determined by setting up the following proportion:

(the height of pole) / (length of pole's shadow) = (height of building) / (length of building's shadow)

Substituting the given values:

2.8 / 1.49 = (height of building) / 37.5

To find the height of the building, we can cross-multiply and solve for it:

(2.8 * 37.5) / 1.49 = height of building

Calculating the expression on the right side:

(2.8 * 37.5) / 1.49 ≈ 70.7013

Rounding to the nearest meter, the height of the building is approximately 71 meters.

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Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer: y=9x/20 - 3/4

Step-by-step explanation:

The answers to all parts sre whicn below.

1. Since there are two theaters each showing three different movies, the total number of possible movie choices is the product of the number of choices at each theater, which is 3 in this case. Therefore, the total number of possible movie choices is 3 x 3 = 9.

Answer: 9 choices

2. The tree diagram is most likely to go with the scenario of "two types of cake in two different shapes with two different types of frosting". The two boxes in the tree diagram represent the two types of cake, the five lines coming out of each box represent the two different shapes of cake and the two types of frosting, and the five boxes at the end of each line represent the different combinations of cake shapes and frosting types.

3. The correct organized list that represents the outcomes for choosing gloves (G) or mittens (M) in red (R), tan (T), or black (B) is:

GR, GT, GB, MR, MT, MB

4. HH, HT, TH, TT

5. There are 4 different cell phone models, each of which has 3 different plans. To find the total number of possible outcomes, we need to multiply the number of options for each choice. Using the multiplication principle, the total number of possible outcomes is:

4 (cell phone models) × 3 (plans for each model) = 12 outcomes

Therefore, the total number of possible outcomes is 12.

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As a mixed number, it's 64 and 4/10:

      \(64\frac{4}{10}\)

As an improper fraction, it's 644/10:

    \(\dfrac{644}{10}\)

This can also be reduced to 322/5:

    \(\dfrac{322}{5}\)

Answer: \(64 \frac{2}{5}\)

Step-by-step explanation:

=64+0.4

\(=64+\frac{2}{5}\)

\(=64\frac{2}{5}\)

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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Answer:

The probability is less likely and 2/20

Please mark me as brainliest.

10/38 is what i think it is

The probability that the ninth woman to appear is in position 17 is about 5.59%

We can approach this problem by using the binomial probability distribution. Let X be the number of women among the first 16 people in the line. Then X follows a binomial distribution with parameters n = 16 and p, the probability that any given person among the first 16 is a woman. We want to find the probability that X = 8, since this means that the ninth woman to appear is in position 17.

The probability of any given person being a woman is not specified in the problem, but we can assume that it is 0.5 for simplicity. Therefore, p = 0.5, and we can use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which gives the number of ways to choose k items from a set of n items. In this case, it gives the number of ways to choose k women from the first 16 people in the line.

Using this formula with n = 16 and k = 8, we get:

P(X = 8) = (16 choose 8) * 0.5^8 * 0.5^8

= 12870 * 0.00390625

= 50.27

This means that the probability of exactly 8 women appearing among the first 16 people in the line is about 50.27%.

Given that there are 8 women among the first 16 people, the probability that the ninth woman appears in position 17 is 1/9, since there are 9 possible positions for the ninth woman to appear, and they are all equally likely.

Therefore, the overall probability that the ninth woman to appear is in position 17 is:

P(X = 8) * (1/9) = 50.27% * (1/9) = 5.59%

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Answer:

\(\frac{5}{7}:\quad 0.71428\\\\= 0.71\\\\\frac{0.71}{1}\times \frac{100}{100}\\ \\= 71/100\\\\= 71\%\)

Step-by-step explanation:

The fraction 5/7 is equal to 0.7 or 70%.

To convert 5/7 to a decimal,

divide the numerator (5) by the denominator (7):

So, 5 ÷ 7 = 0.71428571...

Rounded to the nearest tenth, the decimal equivalent of 5/7 is 0.7.

Now, to convert 0.7 to a percent, we multiply it by 100:

0.7 x 100

= 70%

Therefore, when rounded to the nearest tenth, 5/7 is equal to 0.7 or 70%.

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Answer:

21 steps

Step-by-step explanation:

There are 9 prime numbers and 15 composite numbers between 2 and 25. So, a prime number would be 1 step forward, and a composite number would be 2 steps back.

\(1*9+(-2)*15=9-30=-21\)

We then take the absolute value of -21 to get 21 as our answer.

Hope this helped! :)

Earned income refers to the money an individual earns from working for an employer, running a business or providing a service. It is considered compensation for the labor or services provided by the individual. Examples of earned income include salaries, wages, bonuses, commissions, and tips.

Unearned income, on the other hand, is income that is not directly earned through labor or services provided. Instead, it comes from investments, government benefits, or other sources of passive income. Examples of unearned income include interest income, dividends, rental income, capital gains, and social security benefits.

One of the main differences between earned and unearned income is how they are taxed. Earned income is generally subject to payroll taxes, which includes Social Security and Medicare taxes, while unearned income is generally taxed at a different rate than earned income. Another difference is that earned income is more closely tied to an individual's skills, effort, and work output, while unearned income is often influenced by factors such as market conditions, investment decisions, and government policies.

Answer:

1436.8

Step-by-step explanation:

the second number after the decimal is 5 so we rounded the first number up

To draw a conclusion about the limit of xn/n! in this case, we would need additional information or a specific expression for xn.

To draw a conclusion about the limit of xn/n! as n approaches infinity, we need to examine the behavior of the sequence {xn/n!} as n gets larger.

If the sequence {xn/n!} converges to a specific value as n approaches infinity, we can conclude that the limit exists. However, if the sequence diverges or oscillates as n increases, the limit does not exist.

Without knowing the specific values of xn, it is difficult to determine the behavior of the sequence. Different values of xn could result in different outcomes for the limit.

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The area of the frame is D. 252 in².

It should be noted that the frame 2 inches wide surrounds a painting that is 18 inches wide and 14 inches tall.

The area will be:

= Length × Width

= 18 × 14

= 252 in²

The area is 252 inches².

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Answer:

you cant solve for x if it doesnt equal to something.

Step-by-step explanation:

draw in the line, here are the points

Answer:

Step-by-step explanation:

here x1=0   y1=-2   x2=-6    y2=4

slope=y2-y1/x2-x1

=4-(-2)/-6-0

=4+2/-6

=6/-6

=-1

therefore slope=-1.

Answer:

a. x=0

b x=-8

c x=49/2

Step-by-step explanation:

a. x2+4=4

subtract 4 from both sides

x2=0

multiply

2x=0

divide by 2

x=0

b x2 + 16 = 0

multiply

2x+16=0

subtract both sides by 16

2x=-16

divide by 2

x=-8

c  x2 − 49 = 0

multiply

2x-49=0

add 49 to both sides

2x=49

divide both sides by 2

x=49/2

Answer:

a. X= 0

b. X= undefined or X=4i

c. X= + or - 7

Step-by-step explanation:

a. x² + 4 = 4

when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.

then x² = 0 , where √x²=√0 , finally x=0

b. x² + 16 = 0

16 goes to other side by negative sign too

x² = -16 , where √x²=√-16 , finally x= undefined

due to the negative sign under thr square root.

at √-1 = i then x can be 4i

c. x² - 49 = 0

-49 go to the other side by positive sign

x² = 49 , where √x² = √49 , finally x= + or - 7

where negative sign is neglected at even power

example:

(-7)²=(7)²

The answer to part (b) is that the inequality holds true for all nonnegative integers n

To prove the equation 1/2 + 3/2 + 5/2 + ... + (2n+1)/2 = (3(n+1)(2n+1)(2n+3))/8, we can use mathematical induction.

Step 1: Base Case

For n = 0, we have:

LHS: 1/2 = 1/2

RHS: (3(0+1)(2(0)+1)(2(0)+3))/8 = (3(1)(1)(3))/8 = 9/8

The equation holds true for n = 0.

Step 2: Inductive Hypothesis

Assume that the equation holds true for some arbitrary positive integer k, i.e.,

1/2 + 3/2 + 5/2 + ... + (2k+1)/2 = (3(k+1)(2k+1)(2k+3))/8

Step 3: Inductive Step

We need to prove that the equation holds true for n = k+1, i.e.,

1/2 + 3/2 + 5/2 + ... + (2(k+1)+1)/2 = (3((k+1)+1)(2(k+1)+1)(2(k+1)+3))/8

Starting from the left-hand side (LHS):

LHS: 1/2 + 3/2 + 5/2 + ... + (2(k+1)+1)/2

    = (1/2 + 3/2 + 5/2 + ... + (2k+1)/2) + (2(k+1)+1)/2

    = [(3(k+1)(2k+1)(2k+3))/8] + (2(k+1)+1)/2         [Using the inductive hypothesis]

    = (3(k+1)(2k+1)(2k+3) + 4(k+1)+2)/8

    = [(k+1)(2k+1)(6k+9+4+2)]/8

    = [(k+1)(2k+1)(6k+15)]/8

    = [(k+1)(2k+1)(2k+3)]/8 * 3

    = (3((k+1)+1)(2(k+1)+1)(2(k+1)+3))/8

Both sides are equal, so the equation holds true for n = k+1.

Step 4: Conclusion

By mathematical induction, we have proven that for any nonnegative integer n, the equation 1/2 + 3/2 + 5/2 + ... + (2n+1)/2 = (3(n+1)(2n+1)(2n+3))/8 holds true.

(b) To find the values of n for which 2n+3 ≤ 2^n, we can simplify the inequality:

2n+3 ≤ 2^n

2n+3 ≤ 2 * 2 * 2 * ... * 2 (n times)

2n+3 ≤ 2^n

Since the left-hand side (LHS) is a constant (3) and the right-hand side (RHS) is an exponential function, we can compare their values for different nonnegative integers n to determine when the inequality holds true.

For n = 0:

LHS: 2^0+3 = 4

RHS: 2^0 = 1

4 > 1, so the inequality holds true for n = 0.

For n =

1:

LHS: 2^1+3 = 5

RHS: 2^1 = 2

5 > 2, so the inequality holds true for n = 1.

For n = 2:

LHS: 2^2+3 = 7

RHS: 2^2 = 4

7 > 4, so the inequality holds true for n = 2.

We can continue this process and observe that for any nonnegative integer n, the inequality 2n+3 ≤ 2^n holds true. Therefore, the answer to part (b) is that the inequality holds true for all nonnegative integers n.

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The three necessary precautions for the distillation set-up are proper insulation, temperature control, and monitoring of pressure.

Distillation is a widely used technique for separating and purifying liquids based on their boiling points. To ensure the success and safety of the distillation process, several precautions must be taken during the set-up.

Firstly, proper insulation is crucial to maintain consistent and efficient distillation conditions. Insulation helps to minimize heat loss or gain from the surroundings, which can affect the accuracy of the boiling point and the separation efficiency. Insulation materials such as glass wool or insulating tape can be used to cover the distillation apparatus and prevent heat exchange with the environment.

Secondly, temperature control is essential to achieve the desired separation. Distillation involves heating the mixture to vaporize the more volatile component and then condensing it back into a liquid. Precise temperature control ensures that the desired compound vaporizes without excessive overheating or decomposition. This can be achieved by using a temperature-regulated heat source, such as a heating mantle or a water bath, along with a thermometer to monitor the temperature throughout the process.

Lastly, monitoring of pressure is crucial for safe and efficient distillation. Controlling the pressure inside the distillation apparatus helps to prevent excessive pressure buildup, which can lead to equipment failure or even explosion. Pressure can be controlled by adjusting the rate of vapor condensation or by using a pressure relief valve to maintain a safe operating pressure.

In summary, the three necessary precautions for the distillation set-up are proper insulation to minimize heat exchange, temperature control to achieve accurate separation, and monitoring of pressure to ensure safety and prevent equipment failure.

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The correct interpretation of the 95% confidence interval is: "We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."

This means that if we were to repeat the survey many times and construct a confidence interval for each sample, 95% of those intervals would contain the true proportion of people in the population who own a tablet computer. The interval (0.62, 0.78) is the range of values that is likely to contain the true population proportion with 95% confidence, based on the sample data.

Hence, the correct interpretation of the 95% confidence interval is:

"We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."

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Answer:

4,000

Step-by-step explanation:

The area of corral build for a horse is equal to 4000 feet².

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that a rancher uses 280 feet of fencing to build a rectangular corral for a horse. This meant the perimeter of corral is equal to 280 feet.

Let's assume that the width of corral is of x feet.

Length of corral = 2.5x

We know that the perimeter of a rectangle is given by :

P = 2 ( L + B )

or

280 = 2 ( 2.5x + x)

Solving for the value of x i.e., width of corral will be :

3.5x = 140

x = width = 40 feet

and

Length = 100 feet

So , the area of corral will be :

A = L × B

or

A = 40 × 100

A = 4000 feet²

Therefore , the area of corral build for a horse is equal to 4000 feet².

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Answer:

It’s 0,0

Step-by-step explanation: it only crosses the origin once and on the 0 so.

Answer:

0

Step-by-step explanation:

The line crosses at the origin.

We have the system of equations:

12x - 9y = 27

8x - 6y = 18

If we are going to solve the equation by graphing, we need to put these equations in the slope-intercept form:

y = m*x + b

Where m is the slope of the equation, and b is the intercept of the graph with the vertical line. For the first equation:

12x - 27 = 9y

Dividing by 9:

12x/9 - 27/9 = y

=> y = 4x/3 - 3 ...(1)

Now, for the second equation:

8x - 18 = 6y

Dividing by 6:

y = 4x/3 - 3 ...(2)

We can see that (1) and (2) are identical, so we conclude that the system of equations is consistent dependent (there are infinite solutions).