The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
d = 0.04v + 1.1v
What is the stopping distance for a velocity of 10 miles per hour?
a. 10 ft
b. 7 ft
c. 15 ft
d. 13 ft

To write the equation in standard form for the circle passing through (–2, 4) centered at the origin, we need to find the radius and the center of the circle.

Since the circle passes through (–2, 4), we can use the distance formula to find the radius, which is the distance from the origin to (–2, 4).

The distance formula is given by:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, x1 = 0, y1 = 0, x2 = –2, and y2 = 4. So, the radius is:

radius = sqrt((-2 - 0)^2 + (4 - 0)^2) = sqrt(20) = 2sqrt(5)

The center of the circle is the origin, since the circle is centered at the origin. Therefore, the equation of the circle in standard form is:

x^2 + y^2 = (2sqrt(5))^2 = 20

So, the equation of the circle passing through (–2, 4) centered at the origin is x^2 + y^2 = 20.

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Answer:

No

Step-by-step explanation:

You have to do it.

The value of b could be 0 so that the equation x + 3 - (1/2)x  = 3/4(bx - 5) has exactly one solution.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equations are:

x + 3 - (1/2)x  = 3/4(bx - 5)

Let

b = 0

x + 3 - (1/2)x  = 3/4(- 5)

x/2 = -15/4 - 3

x/2 = -27/4

x = -27/2

Thus, the value of b could be 0 so that the equation x + 3 - (1/2)x  = 3/4(bx - 5) has exactly one solution.

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Answer:

100

Step-by-step explanation:

1 hectometer = 100 meters

Answer:

1. 2 6f

2. 31h

3. 1 1 ( 5 + 1 )

hope this helps

Step-by-step explanation:

Answer:

Distributive property:

Applied to the given expressions:

Answer:

c o n f u s i o n

Step-by-step explanation:

Uh... I dunno, sure, the perimeter of a rectangle is 62 m, I guess?

The null hypothesis for this test is: H0 : σ² ≤ 484.

In hypothesis testing, the null hypothesis (H0) is a statement that we assume to be true unless we have sufficient evidence to reject it. It is typically a statement of no effect, no difference, or no relationship between variables.

In this case, we are interested in testing whether the variance of a population is significantly more than 484. So the null hypothesis would be that the population variance is less than or equal to 484, which can be represented as:

H0: σ2 ≤ 484

This means we assume that the population variance is not significantly more than 484, unless we have sufficient evidence to reject this assumption based on the sample data.

Thus, the null hypothesis is H0 : σ² ≤ 484.

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Answer:

The y intercept is : 65

Step-by-step explanation:

The y intercept is 65 as it is in the form of y=mx+c.

The c is the y intercept, being 65

The statement is true. Multiplication is commutative, which means that the order of multiplication does not affect the result.

The statement "0 x 5 = 5 x 0" is true because of the commutative property of multiplication. In multiplication, the order of factors does not change the result.

When we multiply 0 by 5, it equals 0 since anything multiplied by 0 is 0. Similarly, when we multiply 5 by 0, the result is still 0. Both expressions are equal to 0, confirming the commutative property.

In summary, 0 x 5 and 5 x 0 are interchangeable and yield the same result, proving the truth of the statement based on the fundamental property of multiplication.

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So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The probability of getting at least 2 fours is the sum of the probabilities of getting exactly 2, 3, 4, or 5 fours:

P(X ≥ 2) = P(X=2) + P(X=3) + P(X=4) + P(X=5)

Using the binomial formula, we can calculate each of these probabilities:

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

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from n distinct items.

P(X=2) = (5 choose 2) (1/6)² (5/6)³ = 0.1608

P(X=3) = (5 choose 3) (1/6)³ (5/6)² = 0.0322

P(X=4) = (5 choose 4) (1/6)⁴ (5/6)¹ = 0.0013

P(X=5) = (5 choose 5) (1/6)⁵ (5/6)⁰ = 0.00003

Therefore,

P(X ≥ 2) = 0.1608 + 0.0322 + 0.0013 + 0.00003 = 0.1943

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

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Answer: 5

Step-by-step explanation:

13-8=5

5-13=8

Answer:

The probability of spinning and even number on the spinner is 0.4.

Step-by-step explanation:

mark as brainiest

m = the slope of the curve at x=3 and b = the y-intercept at x=3. Therefore, the approximate value of y at x=2

We can use the local linearization of the curve to approximate the value of y at x=2.

The local linearization of the curve is given by the equation y = mx + b, where m is the slope of the curve at x=3 and b is the y-intercept at x=3.

Let m be the slope of the curve at x=3 and b be the y-intercept at x=3.

The slope of the curve at x=3 can be found by calculating the derivative of the curve at x=3.

The y-intercept at x=3 can be calculated by substituting x=3 into the equation of the curve and solving for y.

Therefore, m = the slope of the curve at x=3 and b = the y-intercept at x=3.

Substituting the values of m and b into the equation of the local linearization, we get the equation y = mx + b.

Substituting x=2 into the equation, we get y ≈ 0.5 + 1 = 1.5.

Therefore, the approximate value of y at x=2

The local linearization of the curve can be used to approximate the value of y at x=2. Substituting x=2 into the equation, we get y ≈ 1.5, which is the approximate value of y at x=2.

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The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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The method that Ross can use to make valid conclusions on the candidate in the lead is C. Put the names of all the students in a hat, and draw 100 names. Ask those students whose names are drawn.

When conducting the survey, it is important the Ross uses a random sample from the classmates who will be the ones to select the class treasurer.

To do this, one method of random sampling Ross can use is to draw 100 names from a hat after placing all the pupils' names inside. Students whose names were drawn can be questioned.

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The full question is :

Ross wants to conduct a survey of his 400 classmates to determine which candidate for class treasurer, Warren or Willa, is in the lead in the upcoming election.

Ross will ask the question, “If the election were today, which candidate would get your vote?”

Which of the following methods of surveying his classmates will allow Ross to make valid conclusions about which candidate is in the lead?

Select all that apply.

*Ask all of Warren's friends.

*Ask the other members of Willa's cheerleading squad.

*Put the names of all the students in a hat, and draw 100 names. Ask those students whose names are drawn.

*Ask every student in the class.

Given:

Where, g = 4

To simplify the expression, substitute g for 4 and evaluate.

We have:

ANSWER:

37

Answer:

the dog weighs 52lb

Answer:

Area = 232 in^2

Step-by-step explanation:

Formula

A square's area is found using the following formula

A = S^2

Where A is the area

and S is the length of one side.

Solution

The 2 means that the side is squared and is written as shown above.

s = 2 sqrt(58)

Square both sides

s^2 = 2^2 * sqrt(58)^2

When a square root is squared, you get rid of the square root sign √ and you are left with what is under the square root sign.

s^2 = 4 * 58

s^2 = 232 inches ^2 which is the answer you have chosen.

The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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The range of the random variable is from 0 to 17,000.

The range of the random variable is the set of all possible values that the variable can take on. In this case, the variable is the number of people who carry the gene ifi202. Since 17,000 people are being tested, the range of the variable is from 0 to 17,000.

This is because it is possible that none of the people tested carry the gene, or that all 17,000 people tested carry the gene. Any number of people between 0 and 17,000 could also carry the gene, so the range of the variable is 0 to 17,000.

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Answer:

first question

5 push-ups a day

second question

50 push-ups

Step-by-step explanation:

First, you must divide 35 divided by 7 because if Cesar does the exact same amount of push-ups a day, you can divide the total number of push-ups by how many days. Which gets you your first answer 5.

Then you multiply the number of days by the number of push-ups Cesar does in a day.

10 x 5 = 50

Answer:

5.0 x 10^{4}

Step-by-step explanation:

The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

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Answer:

\((B)4^{1/6}\)

Four raised to the one-sixth power

Step-by-step explanation:

We want to simplify:  \(\dfrac{\sqrt{4} }{\sqrt[3]{4} }\)

First, we apply the fractional law of indices to each term.

\(\text{If } a^{1/x}=\sqrt[x]{a},$ then:\\\sqrt{4}=4^{1/2}\\\sqrt[3]{4}=4^{1/3}\)

We then have:

\(\dfrac{\sqrt{4} }{\sqrt[3]{4} }=\dfrac{4^{1/2} }{4^{1/3} }\\$Applying the division law of indices: \dfrac{a^m }{a^n }=a^{m-n}\\\dfrac{4^{1/2} }{4^{1/3} }=4^{1/2-1/3}\\\\=4^{1/6}\)

The correct option is B.

Answer:

3 batches

Step-by-step explanation:

Given that :

Let Number of batches of cupcakes made = x

12 eggs was used to make x batches

Number of eggs used per batch = 4

If 4 eggs was used for a batch :

Number of batches of cupcakes made :

12 eggs / 4 eggs

= 3 batches

The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

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Answer:

Raul made 8 servings of fruit salad

Step-by-step explanation:

Here, we want to get the number of servings made by Raul

From the question;

1 serving = 1/2 cup

x servings = 4 cups

Thus;

4 * 1 = x * 1/2

x = 4/(1/2)

x = 8 servings

Answer:

Step-by-step explanation:

Answer:

x = 8

y = 20

Step-by-step explanation:

To find x, you can divide the total perimeter (128) by 4 to get one side length of the square:

128 ÷ 4 = 32

Next, to get x, you solve the equation:

4x = 32

Divide by 4 on both sides:

x = 8

Then, to find y, you can use the properties of a square to know that all diagonals are equal. Therefore, since AC = 40 BD = 40 as well. You can divide 40 by 2 to get the length of BE, which is half as long as BD:

40 ÷ 2 = 20

y = 20

Therefore, x = 8 and y = 20.

I hope this helps!