Generate two ordered pairs by substituting
zero for x and y. Then, find the rate of change.
-3x-6y=-3

Based on the information given, where p is pies and a represents apple: B) The independent variable is pies, and the dependent variable is apples.

In this scenario, the number of pies and the amount of apples needed to make those pies are two variables that are related to each other. The independent variable is the variable that is being changed or controlled in the experiment, while the dependent variable is the variable that is being measured or affected by the independent variable.

In this case, the independent variable is the number of pies being made (p), as this is the variable that is being controlled or changed. The dependent variable is the amount of apples needed to make those pies, as this variable is being affected by the number of pies being made.

Therefore, the correct answer is:

B) The independent variable is pies, and the dependent variable is apples.

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The solution of the given system of the equation will be (0, 1), and (4, 9).

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given a system of equations such that,

y = x² - 2x +1

y = 2x + 1

By subtracting both equations we will get,

x²-2x +1 - 2x -1 = 0

x² -4x = 0

x = 0, x = 4

at this value

y = 1, y = 9

therefore, the solution of the given system of the equation will be (0, 1), and (4, 9).

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The distance between the astronomers and the moon is 756000 kilometres.The time taken for the laser beam to reach the moon and be reflected back to earth is 2.52 seconds.

As the speed of light is 300,000,000 m/s so the  total distance travelled by the laser beam is:

2 x (300,000,000 m/s) x (2.52 s) = 1,512,000,000 meters.

Still, this is the total distance travelled by the light, so,now we need to divide it by two to get the distance from the astronomers to the moon. Thus, the distance between the astronomers and the moon is:

(1,512,000,000 m) / 2 = 756,000,000 meters,

Or approximately 756,000 kilometres.

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1. The product of (x+5)² is x² +10x +25

2. The product is ( 2x-7y)² is 4x² - 28xy +49y²

3. The product of (a -3) (a+3) is a² - 9

4. The product of (2a-b)² is 4a² - 4ab + b²

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values.

1. (x+5)² = (x+5)(x+5)

= x(x+5) + 5( x+5)

= x² +5x +5x + 25

= x² +10x +25

2. (2x-7y)² = (2x-7y)(2x-7y)

= 2x( 2x -7y) -7y( 2x-7y)

= 4x² -14xy -14xy + 49y²

= 4x² - 28xy +49y²

3. (a-3)(a+3)

a( a+3) -3( a+3)

= a² +3a -3a -9

= a² - 9

4. (2a-b)² = (2a-b)(2a-b)

2a( 2a-b) -b( 2a-b)

= 4a² -2ab -2ab +b²

= 4a² - 4ab + b²

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Answer:

a) 0.9125

b) 0.756

c) 0.314

Step-by-step explanation:

The save percentage of Goalie A = 0.92

The save percentage of Goalie B = 0.89

The percentage of the games Goalie A plays = 75 percent

The percentage of the games Goalie B plays = 25 percent

a) The probability that a save has been made by either Goalie A or Goalie B

Therefore we get;

The probability that Goalie A made a save, P(A) = 0.92 × 0.75 = 0.69

The probability that Goalie B made a save, P(B) = 0.89 × 0.25 = 0.2225

For mutually exclusive events, we have;

P(A) or P(B)  = P(A) + P(B)

∴ P(A) or P(B) = 0.69 + 0.2225 = 0.9125

The probability that a save has been made by either Goalie A or Goalie B, P(A) or P(B) = 0.9125

b) Where there are 10,000 attempts, made evenly in all games, we have;

The number of attempts made with Goalie A playing = 10,000 × 0.75 = 7,500

The number of saves Goalie A makes = 0.92 × 7,500 = 6,900

The number of saves for 10,000 attempt = (P(A) or P(B)) × 10,000 = 0.9125 × 10,000

The number of saves for 10,000 attempt = 9,125

∴ The probability that Goalie A saves = 6,900/9,125 ≈ 0.756

c) Out of the 2,500 attempts at Goalie B, the number of goals let in is given as follows;

P(Goal B) = 2,500 - 2,500 × 0.89 = 275

The number of goals let in by Goalie A, we have;

P(Goal A) = 7,500 - 7,500 × 0.92 = 600

Therefore, the total number of goals let in = 300 + 275 = 875

The probability that the goals was let in by Goalie B = 275/875 = 11/35 ≈ 0.314.

Water vapor is an important component of the Earth's atmosphere, and it plays a crucial role in regulating the climate. water vapor makes up about 0-4% of the Earth's atmosphere by volume . So the correct option is A.

It is a greenhouse gas, which means that it can trap heat in the atmosphere and contribute to global warming. The amount of water vapor in the atmosphere can vary depending on location, temperature, and weather conditions. On average, water vapor makes up about 0-4% of the Earth's atmosphere by volume. This may seem like a small amount, but it has a significant impact on weather patterns and climate. As temperatures rise due to climate change, the amount of water vapor in the atmosphere is expected to increase, which could have further impacts on global climate.

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8 inches :) (im pretty sure)

Answer:

B

Step-by-step explanation:

A door isn't about the size of my foot

Not the size height of my house

Not the size of my street

Sooooooo...

Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia

Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.

The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.

by the pythagorean theorem:

Answer: 13 km

Answer:

C

Step-by-step explanation:

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Answer:

EF = 8

Step-by-step explanation:

The midsegment EF is half the sum of the parallel bases , that is

x = \(\frac{x-5+2x-3}{2}\) ( multiply both sides by 2 to clear the fraction )

2x = 3x - 8 ( subtract 2x from both sides )

0 = x - 8 ( add 8 to both sides )

8 = x

Thus

EF = x = 8

AD = x - 5 = 8 - 5 = 3

BC = 2x - 3 = 2(8) - 3 = 16 - 3 = 13

Answer:

3a. 7.2

3b. 0.9

4a. 7.2

4b. 2.4

5a. 104

5b. 260

hope this helps, everything in bold is the correct answer,

have an awesome day, -TJ

Answer:

3.a. 36

b. 4.5

4.a. 7.2

b. 2.4

5.a. 104

b. 260

Step-by-step explanation:

100/20 = 5

18 x 5 = 90 (100%)

18 x 2 = 36

18/4 = 4.5

14.4/2 = 7.2

7.2/3 = 2.4

52 x 2 = 104 (100%)

(195/3) 4 = 65 x 4

65 x 4 = 260 (100%)

Lets take 7:4 be 7x and 4x

7x - 4x = 15

3x = 15

x = 5

______________________________

7x = 7 × 5 = 35

4x = 4 × 5 = 20

Answer:

0.45=0.45 so they are either both wrong or both correct

Step-by-step explanation:

both answers are probably correct

There are two main methods to determine if it is a rainy day at a given location: measuring rainfall using weather instruments, and using radar and satellite imagery.

Measuring rainfall using weather instruments involves setting up a rain gauge, an instrument that measures the amount of rainfall in a specific location. These instruments measure the amount of rainfall at a given time and provide more accurate readings than radar or satellite imagery.

Using radar and satellite imagery is another way to measure if it is a rainy day at a given location. Radar and satellite imagery show precipitation patterns, cloud types, and the movement of the clouds. These images can help identify where it is raining and how much rainfall is expected in the near future.

Both methods are useful for predicting rain or other types of precipitation. Rainfall measurements from weather instruments provide more accurate data, while radar and satellite imagery offer a bigger picture of the overall weather patterns in a given area.

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Using proportions, it is found that the difference between the two salary options each year is of $5,545.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For the first option, $115 per week plus 9.5% commission on the associate’s total sales, the yearly salary is:

115 x 52 + 0.095 x 125000 = $17,855.

For the second option, $450 per week with no commission, the yearly salary is:

450 x 52 = $23,400.

Hence the difference is given as follows:

23400 - 17855 = $5,545.

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Answer:  f(x)=\(\frac{1}{3}\)( - \(\frac{9}{2}\))

Step-by-step explanation:

D hope this helped <3

The event that the card is a queen, denoted as e, and the event that the card is a heart, denoted by f, are not independent.

Independent events are events where the occurrence or outcome of one event does not affect or influence the occurrence or outcome of another event. In other words, the outcome of one event has no effect on the probability of the other event happening. For example, flipping a coin and rolling a dice are independent events, because the outcome of one event (e.g., heads on a coin flip) does not affect the outcome of the other event (e.g., rolling a six on a dice).

The event "the card is a queen" reduces the number of cards in the deck, while the event "the card is a heart" also reduces the number of cards in the deck. The intersection of these two events, "the card is a queen of hearts," is a smaller set of cards than either event individually, so these events are dependent.

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Answer:

It's 108

You add the sides 48 and 24 and then subtract it from 180. That how you get your answer.

Answer:

I think it C

Step-by-step explanation:

Let's solve your equation step-by-step.

(k−4)2=9

Step 1: Simplify both sides of the equation.

k2−8k+16=9

Step 2: Subtract 9 from both sides.

k2−8k+16−9=9−9

k2−8k+7=0

Step 3: Factor left side of equation.

(k−1)(k−7)=0

Step 4: Set factors equal to 0.

k−1=0 or k−7=0

k=1 or k=7

Answer:

k=1 or k=7

Hope this helps! :)

Square both sides:

K -4 = sqrt(9)

With the answer being a square root rewrite with a postive and negative value:

K-4 = sqrt(9)

And

K-4 = -sqrt(9)

Simplify each:

K-4 = 3

And

K-4 = -3

Solving for k in each one you get answer

C. {1,7}

To construct a confidence interval for the proportion of adults who believe that economic conditions are getting better, the pollster needs to consider the sample size and margin of error.

In part (a), the pollster has an estimate of the proportion (0.25) and wants a margin of error of 0.02 with a 95% confidence interval. To determine the sample size needed, the pollster can use the formula:

sample size = (Z^2 * p * q) / E^2

where Z is the z-score for the confidence level (1.96 for 95%), p is the estimated proportion (0.25), q is 1-p, and E is the margin of error (0.02).

Plugging in these values, we get:

sample size = (1.96^2 * 0.25 * 0.75) / 0.02^2
sample size = 861.3

Therefore, a sample size of 862 adults is needed to obtain a 95% confidence interval with a margin of error of 0.02, based on the estimate of 0.25.

In part (b), if no estimate of p is available, the pollster can use a conservative estimate of p = 0.5 to calculate the sample size needed. This is because a sample size calculated using p = 0.5 will be the largest sample size needed for any value of p.

Using the same formula as before, we get:

sample size = (1.96^2 * 0.5 * 0.5) / 0.02^2
sample size = 2401

Therefore, a sample size of 2401 adults is needed to obtain a 95% confidence interval with a margin of error of 0.02, without an estimate of p.

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The interest earned on the account is $5,750.53 when $50,000 is deposited for 2 years at an annual interest rate of 5.5% compounded monthly.

To calculate the interest earned on the account, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount (including interest)

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $50,000, the annual interest rate (r) is 5.5% (or 0.055 as a decimal), the interest is compounded monthly (n = 12), and the money is left in the account for 2 years (t = 2).

Plugging these values into the formula, we have:

A = 50000(1 + 0.055/12)^(12*2)

Simplifying the equation, we get:

A = 50000(1 + 0.004583333333333333)^(24)

A = 50000(1.004583333333333333)^(24)

A = 50000(1.115010680047)

A = 55750.53400235

To find the interest earned, we subtract the principal amount from the final amount:

Interest = A - P

Interest = 55750.53400235 - 50000

Interest = 5750.53400235

Therefore, the interest earned on the account is $5,750.53 (rounded to two decimal places).

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Answer: All doctors; doctors randomly selected for a survey

Population can be all doctor and sample of the population are doctors randomly selected for a survey

Population: This is a total number of people that stay together in the same place

Sample: A small part or quantity intended to show what the whole is like.

Increasing the sample size by a factor of 4 b) decreases the standard error of the sample mean by a factor of 2

The standard error of the sample mean is calculated as the standard deviation of the population divided by the square root of the sample size. When the sample size is increased by a factor of 4, the denominator of the equation (i.e., the square root of the sample size) becomes twice as large.

This causes the standard error to decrease by a factor of 2 (i.e., the standard error is halved). Therefore, option b is the correct answer. The mean of the sample mean is not affected by the sample size and remains the same.

Option c and d are incorrect. Option a is also incorrect as increasing the sample size actually decreases the standard error, not increases it.

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Answer:

x-6

Step by step explanation:

1. If x equaled 3 then we would replace x with three.

2. We would then take the simplified equation and subtract.

3. 3-6 = 3

If this helped please consider marking this answer brainliest!!

Angle-Angle-Side (AAS) Theorem has two sides and a non-included angle.

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Answer:

a) 3.60

5.20

7.20

3.2 + .4M

b) at most, 42 minutes if only have $20

Step-by-step explanation:

minutes = 1;    3.2 + (.4)(1) = 3.60

minutes = 5;    3.2 + .4(5) =  5.20

minutes = 10;    3.2 + .4(10) = 7.20

minutes = M;    3.2 + .4M

b)  3.2 + .4M ≤ 20

.4M ≤ 16.8

M ≤ 42

at most, 42 minutes if only have $20

Answer:

in the question sorry

Step-by-step explanation:

I am going to make an equation using y=mx+b alright! y=0.40x+3.20

so the first one is 3.6

the second one is 5.2

the third one is 7.2

the last one is im not sure tbh i think you make one up

part b. is 42 mins

The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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Answer:

least common multiple (LCM) of 9 and12 is 36