the equation of a line parallel to y=−7+4xthat passes through the point (-2,-1).

We are given the following parent function f(x)

The transformed function g(x) is

Notice that the change is done in the horizontal direction.

Recall that the transformation rule for the horizontal translation to the left is given by

Where c is the number of units by which the graph is shifted to the left.

So, we should expect that the graph is horizontally shifted to the left by 1 unit.

Therefore, the above is graph represents the transformed function g(x) which is horizontally shifted to the left by 1 unit.

Answer: 1/12

Step-by-step explanation:

From the question, we are informed that Cameryn mixes 1 1/4 gallons of water with 5/6 gallons of food coloring to create a solution for her science project. The gallons for the solution will then be:

= 1 1/4 + 5/6

= 1 3/12 + 10/12

= 1 13/12

= 1 + 1 1/12

= 2 1/12

If Cameryn only uses 2 gallons of the solution for her experiment, the number of gallons of solution that will be leftover will be:

= 2 1/12 - 2

= 1/12 gallons

Step-by-step explanation:

-3x+2c = -3

-3 = -3x + 2c

3x = 2c + 3

x = (2c + 3)/3

The solution of the linear equation -3x+2c=-3 for the value of x will be x = (2c + 3)/3.

The equations have the degree of the variables equal to one. In other words, the highest power of the variables will be one. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The given linear equation -3x+2c=-3 will be solved as below:-

-3x+2c = -3

Take the two variables to the same side of the equation.

-3 = -3x + 2c

Separate the variable x from the other terms to get the value of x.

3x = 2c + 3

Divide both the sides of the equation by 3 and calculate for the value of x.

x = (2c + 3)/3

Therefore, the solution of the linear equation -3x+2c=-3 for the value of x will be x = (2c + 3)/3.

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The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer:

Midpoint: (-1, -5)

Endpoint: (-3, -6)

Step-by-step explanation:

Midpoint:

(1-3)/2 and (-4-6)/2

(-1, -5)

Answer:

do you still need the answer or no?

The system of inequalities did not have any solution, but after reversing the  sign we will get a solution of the system of inequalities.

The inequalities are : y > 2x + 2/3 and y < 2x + 1/3

There is no intersection and no solution to the system since the region above the line y = 2x + 2/3 and the region below the line y = 2x + 1/3, respectively, are the solutions to the inequality y > 2x + 2/3 and y <2x + 1/3, respectively.

Now when the signs are changed we get:

y < 2x + 2/3 and y > 2x + 1/3

The region below the line y = 2x + 2/3 is the solution of the inequality

y= 2x + 2/3, and the region above the line y = 2x + 1/3 is the solution of the inequality y > 2x + 1/3. This implies that the area between the two lines is where the system's solution lies.

Disclaimer: The complete question is :

How will the solution of the system y>2x+2/3 and y<2x+1/3 change if the inequality sign on both inequalities is reversed to y<2x+2/3 and y>2x+1/3?

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Answer:

There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions. 

Step-by-step explanation:

Sample answer

The 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).

To find the 98% confidence interval for the true mean noise level, we can use the formula:

CI = mean ± Z * (σ / sqrt(n))

Where:

CI is the confidence interval,

mean is the sample mean,

Z is the z-score corresponding to the desired confidence level,

σ is the population standard deviation,

n is the sample size.

In this case, we have:

mean = 56.5 (sample mean)

σ = 3.5 (population standard deviation)

n = 180 (sample size)

Confidence level = 98%

First, we need to find the z-score corresponding to a 98% confidence level. The remaining 2% is split equally between the two tails of the distribution, so we have 1% in each tail. We can find the z-score using a standard normal distribution table or a graphing calculator. For a 98% confidence level, the z-score is approximately 2.33.

Now we can calculate the confidence interval:

CI = 56.5 ± 2.33 * (3.5 / sqrt(180))

CI = 56.5 ± 2.33 * (3.5 / 13.416)

CI = 56.5 ± 2.33 * 0.261

CI = 56.5 ± 0.607

CI ≈ (55.9, 57.1)

Therefore, the 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).

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Displacement at t = 0 :

Displacement at t = 1 :

Displacement between t = 0 and t = 1 :

∴ The displacement between t = 0 and t = 1 is -4√2 meters.

Answer:

\(-4\sqrt{2} m\)

Step-by-step explanation:

Similar question to the previous one you asked, and I swear I will not make the same mistake again :)

First we will find the displacement at t = 0 and t = 1 to find both displacements.

t = 0,

\(x(0)=4cos(\pi (0)+\frac{\pi }{4} )=4cos(\frac{\pi }{4} )\\=4(\frac{\sqrt{2} }{2} )\\=2\sqrt{2} m\)

t = 1,

\(x(1)=4cos(\pi (1)+\frac{\pi }{4} )=4cos(\pi +\frac{\pi }{4} )\\=4(-\frac{1}{\sqrt{2} } )\\=-\frac{4}{\sqrt{2} }\)

Total Displacement = Final Position - Initial Position

= x(1) - x(0)

= \(-\frac{4}{\sqrt{2} } -2\sqrt{2} \\=-4\sqrt{2} m\)

To find the median time between breakdowns, we need to use the fact that the distribution of breakdown times follows an exponential distribution. The exponential distribution has a probability density function of f(x) = λe^(-λx), where λ is the rate parameter and x is the time between breakdowns.

The median time between breakdowns is the time t such that the probability of the time between breakdowns being less than t is 0.5. Mathematically, this can be expressed as P(X < t) = 0.5.

In the case of the Vexing Manufacturing Company, we are given that the average time between breakdowns is 30 minutes. The rate parameter λ of the exponential distribution is the inverse of the average time, which is λ = 1/30.

Using the cumulative distribution function (CDF) of the exponential distribution, we can find the median time t by solving the equation:

P(X < t) = 0.5

1 - e^(-λt) = 0.5

e^(-λt) = 0.5

-λt = ln(0.5)

t = -ln(0.5)/λ

t = 30 ln(2) ≈ 20.8 minutes

Therefore, the median time between breakdowns at the Vexing Manufacturing Company is approximately 20.8 minutes.

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Answer:

percentage loss = 20%

Step-by-step explanation:

percentage loss is calculated as

\(\frac{loss}{CP}\) × 100% ( CP is the cost price )

loss = SP - CP ( SP is selling price )

loss = CP - SP = 350 - 280 = 70 , then

percentage loss = \(\frac{70}{350}\) × 100% = 0.2 × 100% = 20%

Answer:

answer is D

Step-by-step explanation:

speed = distance divide by time.

299.8/ 7 .5

40

The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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A real number is in between 14 square root and 15 square root is 3.8.

It should be noted that real numbers include rational and irrational numbers.

✓14 = 3.74

✓15 = 3.87

Therefore, a real number is in between 14 square root and 15 square root is 3.8.

It should be noted that this implies a number that can be sent between the square roots.

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The result is 24 is a rational number.

The product of 2√6 and √24, we can simplify the square root expressions first.

First, let's simplify √6:

√6 can be further simplified as follows:

√6 = √(2 × 3)

= √2√3

Now, let's simplify √24:

√24 can be further simplified as follows:

√24 = √(4 × 6)

= √4√6

= 2√6

Now, we can find the product of 2√6 and √24:

2√6 × √24 = (2√6) × (2√6)

= 4√6 × √6

= 4(√6)²

= 4 × 6

= 24

The product of 2√6 and √24 is 24.

Let's determine whether the result is rational or irrational.

A rational number can be expressed as the ratio of two integers, whereas an irrational number cannot be expressed as such.

It can be expressed as the ratio 24/1, where both 24 and 1 are integers.

The result is rational.

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True.The statement "A programmed decision is a repetitive decision that can be handled by a routine approach". Programmed decisions are typically made in response to recurring situations and can be addressed using established processes or guidelines, making the decision-making process more efficient.

A programmed decision refers to a decision that is repetitive and can be handled by a routine approach. These decisions are typically structured and well-defined, with established procedures or rules in place to guide the decision-making process. Programmed decisions are often based on predetermined criteria and do not require extensive analysis or evaluation. They can be automated and handled systematically, allowing for efficient and consistent decision-making in routine situations.

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Answer:

B.2

Step-by-step explanation:

Answer:

B. 2

Step-by-step explanation:

By thousandth with a "th" we are referring to decimal places. The 4 is in the tenths place, the 3 is in the hundredths place, and the 2 is in the thousandths place

Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.

According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.

In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:

Small effect: d = 0.2

Medium effect: d = 0.5

Large effect: d = 0.8

Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.

Therefore, the correct answer is a. small.

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Here are the general steps for using the u-substitution method to evaluate a definite integral:

1. Identify a part of the integrand that looks like the derivative of another function.

This is usually denoted as u, and u should be a function that is easy to integrate.

2. Replace the selected part of the integrand with u. In other words, substitute u for the expression inside the integral.

3. Take the derivative of u with respect to the variable of integration, and then multiply by dx to obtain du.

4. Replace dx with the expression in terms of du, using the relationship you found in step 3.

5. Rewrite the entire integral in terms of u and du, and simplify as much as possible.

6. Evaluate the integral using u and the limits of integration. Replace u with the original expression, and then evaluate the expression at the upper and lower limits of integration.

7. Substitute the values obtained in step 6 into the original equation to get the final answer.

The u-substitution method is a powerful technique for evaluating definite integrals.

The general idea behind the u-substitution method is to replace a complicated expression inside the integral with a simpler expression, which is equal to the original expression.

Here are the general steps for using the u-substitution method to evaluate a definite integral:

Let's take an example to illustrate these steps:

Evaluate the definite integral ∫\((2x + 1)^(3/2) dx from x = 1 to x = 2.\)

Let u = 2x + 1.

Replace 2x + 1 with u in the integral to get ∫\(u^{3/2} dx.\)

Take the derivative of u with respect to x to get du/dx = 2, and then multiply by dx to obtain du = 2dx.

Replace dx with 1/2 du.

Rewrite the entire integral in terms of u and du to get ∫\(u^{3/2} (1/2) du.\)

Evaluate the integral using u and the limits of integration to get (2/5) \(u^{5/2}\) from 3 to 5.

Substitute the values obtained in step 6 into the original equation to get the final answer, which is\((2/5) [(5^{5/2}- 3^{5/2}].\)

Therefore, the value of the definite integral ∫\((2x + 1)^{3/2}\)dx from x = 1 to x = 2 is approximately 6.243.

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Answer:

Hexagonal Prism

Answer:

Negative numbers are used in navigation and directions determination

Answer:

2/5 or 40%

Step-by-step explanation:

there are 10 possible ways to choose 2 cards:

19,13

19,10

19,14

19,22

10,13

14,13

22,13

10,14

10,22

14,22

there are only 4 pairs whose sum is greater than 32:

19,14

19,22

13,22

14,22

Answer:

3/5

Step-by-step explanation:

The number of calories burned y after x minutes of kayaking is

You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight

For kayaking Linear function is y=4.5x

In 45 minute means  x=45

so, y=4.5x

45*45

= 20.25

That means in kayaking will  burnt 20.25 calories in 45

minutes

Therefore, hiking burns more calories.

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The operation is 365*24*60*60*1000 = 31536*10^6.

As we know the year has 365 days.

Each day has 24 hours.

Each hour has 60 minutes.

Each minute has 60 seconds.

Each second has 1000 millisecond.

Therefore number of milliseconds in a year is

365*24*60*60*1000 = 31536*10^6.

Hence we get the The operation is 365*24*60*60*1000 = 31536*10^6.

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The probability that a basketball player with an accuracy rate of 70% will miss the first free throw, but make the second one, can be calculated using the geometric distribution formula.So, in this case, the probability is 0.7 x 0.3^1 = 0.21, or 21%.

This means that the probability of missing the first free throw, but making the second one, is 21%. This probability is lower than the probability of making the first free throw, which is 70%. This lower probability reflects the fact that a player is likely to make the first free throw due to their higher accuracy rate, and then make the second free throw with a lower accuracy rate.

In conclusion, the probability that a basketball player with an accuracy rate of 70% will miss the first free throw, but make the second one, is 21%. This probability is lower than the probability of making the first free throw due to the player’s higher accuracy rate.

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Answer:

96feet

Step-by-step explanation:

Given the height, in inches, of a spray of water is given by the equation ℎ(x)=160−16x^2

x is the number of feet away from the sprinkler head the spray

To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;

From the equation

ℎ(x)=160−16x^2

h(2) = 160-16(2)²

h(2) = 160-16(4)

h(2) = 160-64

h(2) = 96feet

Hence the height will be 96feet if the spray is 2feet away from the sprinklers head

Answer:

No, it is not a function because if you drew any vertical line it would intersect the points (lines) more than once. Basically, the points plotted intersect themselves if you connect all of them on a graph

Step-by-step explanation:

To show your work and understand it more type in Desmos graphing calculator on Google and type in the points and they will then appear on the graph. Hope this helps