Erin gets her exercise by running. The graph shows the distances she covers in a given amount of time. How many hours does it take for Erin to run 25 miles?

Answer:

The correct answer is, Student A, who is paid $255 for 20 hours of work.

Step-by-step explanation:

have a nice day.

Converting the force from newtons to pounds can help us determine the chances of a driver being able to stop a child. The conversion factor is 1 pound (lb) = 4.45 newtons (N).

To convert the force from newtons to pounds, we use the conversion factor of 1 lb = 4.45 N. If we have a force in newtons, we can divide it by 4.45 to obtain the equivalent force in pounds. For example, if the force is 20 N, we divide it by 4.45 to get approximately 4.49 lb.

Now, in order to assess the chances of the driver stopping the child, we need to consider various factors such as the mass and speed of the child, the friction between the driver's shoes and the ground, and the force applied by the driver. If the force applied by the driver, converted to pounds, is greater than or equal to the force exerted by the child, there is a higher chance of stopping the child.

However, it's important to note that other factors, such as the driver's reaction time and the coefficient of friction between the shoes and the ground, also play significant roles in determining the outcome. Thus, the chances of the driver stopping the child depend on a combination of these factors, making it essential to consider them comprehensively when evaluating the situation.

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Answer:

An urban area would be New York City, a rural area would be a small town in western Kansas.

Step-by-step explanation:

Answer: B(0,-6); C(-2,0)

Step-by-step explanation:

A was translated 4 units to the right (x) and 5 units down (y)

Do the same for the other points

B(-4+4, -1-5)                        C(-6+4, 5-5)

B(0, -6)                                C(-2, 0)

Answer: A range of values, created using sample, within which population parameter has a certain probability of occurring.

Reason: E.g. P(a<x>b) = 0.95

confidence interval is A range of values, is created using a sample, within a population parameter that has a certain probability of occurring.

A sampling method's degree of certainty or uncertainty is measured by confidence intervals. In statistics, the probability that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Confidence intervals that contain either 95% or 99% of expected observations are frequently utilized by analysts. To comprehend the statistical significance of their estimates, inferences, or predictions, statisticians and other analysts employ confidence intervals.

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The solution to both inequality is 2 ≥  -x and -x≥ 14

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

We have the equation 1≥-x-1 and -x-1≥ −13

Let us solve the inequality

1 ≥ - x - 1

1 + 1 ≥ -x

2 ≥  -x

Now, let us solve the inequality

-x-1≥ −13

-x+13 ≥ -1

-x≥ 14

Therefore the solution to both inequality is 2 ≥  -x and -x≥ 14

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Step-by-step explanation:

the correct answer is option a 6a-7

Answer: D) 375

Step-by-step explanation:

    We will find 30% of 1,250 since 30% did not vote. A percent divided by 100 becomes a decimal.

30% / 100 = 0.3

1,250 * 0.3 = 375

      D) 375 students did not vote.

Answer:

i forgot what it was sorry

Step-by-step explanation:

Answer:

4x+36

-6x+12

Step-by-step explanation:

Answer:

a = 2, b = 3

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , so

3a + 11 = a + 15 ( subtract a from both sides )

2a + 11 = 15 ( subtract 11 from both sides )

2a = 4 ( divide both sides by 2 )

a = 2

and

3b + 5 = b + 11 ( subtract b from both sides )

2b + 5 = 11 ( subtract 5 from both sides )

2b = 6 ( divide both sides by 2 )

b = 3

Answer:

408,04

Step-by-step explanation:

divide 2727 by 27 which is 101 then multiply by 4.04 which wwill get you 408.04

Answer:

No, 9 is not a solution to 12 \(\leq\) a

Step-by-step explanation:

 The expression 12 \(\leq\) a states " 12 is less or equal to a."  If a were 9, the statement would not be true, since 9 is less than 12.  This contradicts the expression.

The natural length of the spring is approximately 3.97 cm.

The natural length (in cm) of the spring can be found by the following steps:

Given that 2.4 J of work is needed to stretch a spring from 15 cm to 19 cm  and 4 J is needed to stretch it from 19 cm to 23 cm.

We know that the work done in stretching a spring is given by the formula;

W = ½ k (x₂² - x₁²)

Where,W = work done

k = spring constant

x₁ = initial length of spring

x₂ = final length of spring

Let the natural length of the spring be x₀.

Then,

2.4 = ½ k (19² - 15²)

Also,4 = ½ k (23² - 19²)

Expanding and solving for k gives:

k = 20

Next, using the value of k in any of the equations to solve for x₀,

x₀² - 15² = (2 × 2.4) ÷ 20

x₀² = 15² + (2 × 2.4) ÷ 20

x₀² = 15.72

x₀ = √15.72

x₀ ≈ 3.97

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Answer:

The area is  

\(72yd^{2}\)

(square yards)

Step-by-step explanation:

Explanation:

In the given triangle a base  24 y d  and the corresponding height  6 y d

is given, so to calculate the area we can use:

A = 1 2× b × h

If we substitute thegiven numbers we get:

A = 1 2 × 24 × 6 = 12 × 6= 72

The units of base and height are the same (yards), so the calculated area is in  y d 2  (square yards)

Answer: The area of the given triangle is  72 square yards.

Answer:

the given amount percentage is $15, $9 and $12 respectively

Step-by-step explanation:

The percentage of the given amounts are shown below:

a. 60% of $25 = $15

b. 25% of $36 = $9

c. 10% of $120 = $12

Hence, the given amount percentage is $15, $9 and $12 respectively

The simple random sample provided a sample mean of X and a sample standard deviation of Y.

A simple random sample is a subset of individuals selected randomly from a larger population. The sample mean (X) represents the average value of the variable of interest within the sample, while the sample standard deviation (Y) measures the dispersion or spread of the data around the sample mean. The sample mean is calculated by summing up all the values in the sample and dividing it by the sample size. The sample standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences between each value and the sample mean.

The sample mean is a useful statistic as it provides an estimate of the population mean, assuming the sample is representative of the population. It is often used to make inferences about the larger population. On the other hand, the sample standard deviation indicates the variability within the sample. A smaller standard deviation suggests that the data points are closer to the sample mean, while a larger standard deviation indicates greater variability or dispersion.

It is important to note that the sample mean and sample standard deviation are statistics calculated from the sample and are subject to sampling variability. To make more accurate inferences about the population, it is often necessary to use inferential statistics, such as confidence intervals or hypothesis testing. These techniques take into account the sample size, sample mean, and sample standard deviation to draw conclusions about the population parameters.

Overall, the simple random sample provided a sample mean of X and a sample standard deviation of Y, which are essential measures to understand the central tendency and dispersion of the data within the sample.

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Answer:

number of people=4+1

=5

144/5=28.5

28×5=140

Step-by-step explanation:

how many pencils will be left over?=144-140

=4

After sharing 144 pencils equally among 5 people they left with 4 pencils.

Given that, Terry has a box of 144 colored pencils.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Terry and 4 of his friends share the pencils equally

So, including terry there are 5 people

Here,

5|144|28

  10
______

    44
    40
______
      4

Each of the them get 28 pencils, after sharing equally, they left with 4 pencils

Therefore, after sharing 144 pencils equally among 5 people they left with 4 pencils.

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Answer:

27.

Step-by-step explanation:

200 / 6 = 33 1/3.

Numbers which are divisible by 5 and 6 are 30, 60, 90, 120, 150 and 180.

So the total is 33 - 6 = 27.

Answer:

27

Step-by-step explanation:

27. 33-6=27

Answer:

It's a proportion:

500=2.5

50=x

2.5×50:500=0.25kg

50 sheets weigh 0.25 kg

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

the weight of a sheet = 2.5kg/500

the weight of a sheet = 0.005kg

the weight of 50 sheets = 0.005 * 50

the weight of 50 sheets = 0.25kg

since it's a uniform rate

500 sheets = 2.5kg

50 sheets = xkg

then you cross multiply.Having:

500*x = 2.5 * 50

500x = 125

then x = 125/500

x = 0.25

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

20 cups holds less

Step-by-step explanation:

image you have 5 gallons and 20 cups you could see the diffrence between the 2.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Width  =x-2

Length=x  

Perimeter  =48

Perimeter =x*(x-2)

Substitute: 48=x*(x-2)

Simplify: 48=x^2-2x

x=48/2=24

Answer:

Step-by-step explanation:

According to definition of the function, it should have one-to-one relation.

We can see all pairs are unique, no repeated ranges for same domain.

Yes, this is a function.

Given relationship

Domain:-

Range:-

As every domain has an unique range it's a function

Answer:

Since there are already 2 angles shown, which are 48 and 90 (indicated by the square in the bigger triangle, we can set up an equation.

48 + 90 + y = 180

138 + y = 180

-138 + 138 + y = 180 - 138

y = 42°

Answer:

B

Step-by-step explanation:

Cube has a square as its base.

Triangular prism has a triangle as its base.

Rectangle is not a 3-dimensional shape.

Rectangular prism has a rectangle as its base.

Therefore, the triangular prism is the only option that has a triangle as its base.

In a triangular prism, there are two triangles and three rectangles. Then the correct option is B.

A closed solid with two parallel triangular bases joined by a triangle surface is known as a triangular prism.

Some geometries are given below.

In a cube, all the faces of the cube are square.

In a triangular prism, there are two triangles and three rectangles.

All the three rectangle may or may not be same because the base of the rectangle is decided by the side length of the triangle.

The rectangle is a two-dimensional geometry. So, it is a rectangle.

In a rectangular prism, all the faces of the rectangular prism are rectangle.

Then the correct option is B.

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Answer:

27/2 km/hr

Step-by-step explanation:

The number of swims that Will swims by using decimal divisions is 16 laps in each hour.

What is decimal division?

When dividing decimals, the divisor must be converted to a whole number by moving the decimal point to the right. The dividend's decimal point is then carried up to the same number of places to the right, and the resulting numbers are divided in the same manner as regular long division.

Given, Will swims a total of 45.6 laps in 2.85 hours

That is, 2.85 hours = 45.6 laps

or, 1 hour = 45.6/2.85 = 16 laps

Hence, he swims 16 laps each hour.

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Answer:

<BAC ≅ BCA by rule Base angle theorem

Step-by-step explanation:

What we know:

BAC = DAC

BC = BA

ΔBCA is an isosceles so ∠BCA  =  ∠DCA and ∠BAC

and we found that out by base angle theorem since

Base angle Theorem  = Two base angles of a icosceles triangle are equal.

And since ΔBCA is an isoceles then ∠A and ∠C will be equal. And so we can prove BC is a parallel to AD

The proof that BC ∥ AD from the given statements is that;

BC ∥ AD because of the definition of alternate angles

We are given;

AB = BC  

 AC is ∠ bisector of ∠BAD

Since AC is the angle bisector of ∠BAD, it means that;

∠BAC  = ∠DAC (definition of a bisected angle)

Now, since AB = BC, it means that ΔBCA is an isosceles triangle.

Thus; ∠BCA = ∠BAC  (base angle theorem)

Now, since ∠BCA = ∠BAC, and ∠BAC  = ∠DAC, we can say that;

∠BCA = ∠DAC

This means  ∠BCA and ∠DAC are alternate angles. Thus, we can say that AC is the transversal line carrying the two equal angles.

Thus, we can say that BC is parallel to AD as they are the parallel lines cut by the transversal line AC.

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The following is an example of a quadratic inequality: x^2 + 2x - 8 > 0.

This is an example of a quadratic inequality because it is an inequality involving a quadratic function (x^2 + 2x - 8) which is of the form ax^2 + bx + c where a, b, and c are constants.

Quadratic inequalities can be solved by factoring the quadratic expression, using the Quadratic Formula, or graphing the inequality. In order to solve a quadratic inequality, it is important to understand the types of solutions that can be expected.

Solutions may include one solution, two solutions, or no solutions. Additionally, when graphing a quadratic inequality, the graph may be a line or a region. To determine which type of graph to use, the type of inequality must be identified (greater than or less than). If the inequality is a greater than or less than inequality, then the graph will be a region. If the inequality is an equal to inequality, then the graph will be a line.

Solving and graphing quadratic inequalities is an important skill in algebra as it allows us to visualize and solve complex problems.

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