2. delilah drove from her house to the football game at a rate of 40 mph. she returned using the same route, but she drove at a rate of 30 mph. if the round trip took 90 minutes, what is the distance between her house and the football game

Answer:

10

Step-by-step explanation:

Step 1:

- 9x - 13 = - 103

Step 2:

- 9x = - 90

Step 3:

90 = 9x

Answer:

x = 10

Hope This Helps :)

Answer:

F the point is 3.16

Explantion:

the point is 3.16, which is close to 3.2

Answer:

Step-by-step explanation:Response Variable

Just took the test! Correct for Plato/Edmentum

To maximize the total area, all of the wire should go to the square. To minimize the total area, the wire should be divided into two equal pieces, each of length 12.5 m.

(a) To maximize the total area enclosed by both figures, all of the wire should go to the square. This is because a square has the largest area of any quadrilateral with a given perimeter.

(b) To minimize the total area enclosed by both figures, all of the wire should go to the circle. This is because a circle has the smallest area of any shape with a given perimeter.

However, if we are only allowed to use the wire to make a square and a circle, then the minimum area is achieved when the wire is divided into two equal pieces, each of length 12.5 m. This is because the area of a square is proportional to the square of its side length, while the area of a circle is proportional to the square of its radius. Therefore, the total area is minimized when the square and the circle have the same area.

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a. Approximately 95.45% of the observations are expected to lie between 125 and 225 in a normal distribution with a mean of 150 and a standard deviation of 25.

b. Approximately 81.85% of the observations are expected to lie between 75 and 200 in the same normal distribution.

a. To find the percentage of observations between 125 and 225, we calculate the z-scores for these values using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation. The z-score for 125 is (125 - 150) / 25 = -1, and the z-score for 225 is (225 - 150) / 25 = 3. We then look up the corresponding area under the normal distribution curve using a z-table or calculator. The area between -1 and 3 is approximately 0.9545, which corresponds to 95.45%.

b. Similarly, to find the percentage of observations between 75 and 200, we calculate the z-scores for these values. The z-score for 75 is (75 - 150) / 25 = -3, and the z-score for 200 is (200 - 150) / 25 = 2. We find the area between -3 and 2 under the standard normal distribution curve, which is approximately 0.8185 or 81.85%.

c. A data value of 107 would be considered unusual if it falls more than a few standard deviations away from the mean. To determine if it is unusual, we calculate the z-score for 107 using the formula (107 - 150) / 25 = -1.72. If we consider values outside the range of ±2 standard deviations as unusual, then 107 falls within this range and would not be considered unusual.

d. Similarly, for a data value of 206, the z-score is (206 - 150) / 25 = 2.24. Since it falls within the range of ±2 standard deviations, it would not be considered unusual.

e. The Range Rule of Thumb suggests that for a small sample size, the estimated standard deviation is approximately the range divided by 4. In this case, the range is 210 - 90 = 120, so the estimated standard deviation would be 120 / 4 = 30.

f. For a large sample size, the estimated standard deviation using the Range Rule of Thumb is approximately the range divided by 6. Therefore, the estimated standard deviation would be 120 / 6 = 20.

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The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

Given,The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam.

For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section.

The strength of an oak beam is 69, when the beam is 7 inches wide and 3 inches deep.Thus, we can conclude that k, a constant of proportionality exists, such that: S=k(W x D²), where W is the width, D is the depth of the rectangular cross-section and S is the strength of the beam.

Let's use this to calculate k: When the beam is 7 inches wide and 3 inches deep, S=69. Thus, we get:k = S/W x D²=69/(7 x 3²)=1.

Thus, the equation for S becomes:S = W x D²The radius of the oak tree is 28/2 = 14 inches and the beam must be 14 inches wide.

This implies that the rectangular cross-section of the beam must be square (or the largest rectangular cross-section is a square). Let the side of the square cross-section be x.

Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inchesWe need to determine the depth of the beam. The depth of the beam is half the height of the cylindrical log from which the beam is cut. The cylindrical log has a diameter of 28 inches. The beam has a width of 14 inches.

The largest rectangular cross-section is a square with sides of length x. This cross-section can be obtained by cutting the log at a height of x/2 from its center.Since the diameter is 28 inches, the radius is 14 inches. The height at which the beam is cut is h = 14 - x/2.

Thus, the depth of the rectangular beam cut from the cylindrical log is given by: D = 2(h) = 2(14 - x/2) = 28 - x.Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69Simplifying the above equation,x⁴ - 56x³ + 784x² - 69 = 0.

Using polynomial long division, we get:(x² + 16x - 69)(x² - 40x + 1) = 0The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.Therefore, the  answer is (b) S = 2231.

The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. Let the side of the square cross-section be x. Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inches. Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69.The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

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Answer:

x- intercept = 2, y- intercept = - \(\frac{8}{7}\)

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

4x - 7(0) = 8 , that is

4x = 8 ( divide both sides by 2 )

x = 2 ← x- intercept

To find the y- intercept , let x = 0 in the equation and solve for y

4(0) - 7y = 8, that is

- 7y = 8 ( divide both sides by - 7 )

y = - \(\frac{8}{7}\) ← y- intercept

When selecting a single score from a population with a mean of 100 and a standard deviation of 20, we can expect, on average, the selected score to be approximately 20 units away from the population mean.

The population mean (μ) is a measure of the average or central tendency of the population, while the population standard deviation (σ) is a measure of the variability or spread of the scores in the population. In this case, the population mean is 100 and the population standard deviation is 20.

When we select a single score from the population, we can expect it to be, on average, close to the population mean. This is because the population mean represents the center or average value of the population.

The standard deviation provides us with a measure of the dispersion or spread of scores around the mean. A standard deviation of 20 indicates that the scores in the population tend to deviate from the mean by an average of 20 units.

Considering that the standard deviation represents the average distance between individual scores and the mean, we can conclude that, on average, a single score selected from the population would be approximately 20 units away from the population mean.

However, it is important to note that this is a probabilistic statement. While the average distance between individual scores and the mean is expected to be 20 units, there will be some scores that are closer to the mean and others that are further away.

The distribution of scores in the population follows a bell-shaped curve (assuming a normal distribution), and the majority of scores will fall within a few standard deviations from the mean.

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Note the full question is A population has μ = 100 and σ = 20. If you select a single score from this population, on the average, how close would it be to the population mean? Explain your answer.

Step-by-step explanation:

y = the number

8y + 9 = 2

8y = -7

y = -7/8

Answer:

the remNING MAS IS 345

Step-by-step explanation:

I DID THIS BEFORE

Answer:

Attach a screenshot or picture or write it out. There is nothing there.

Step-by-step explanation:

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values  

The calculation for ROC is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.

I know it`s not the answer but I hope it helps a little Δ    Δ

                                                                                   ⊂∵°ω°⊃

The equation that represents City Printing will be y = 4x + 40. Then the correct option is A. And the number of shirts for the same cost will be 10.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of shirts and 'y' be the total cost. Then the equations are given as,

Option 1: y = 6x + 20                    ...1

Option 2: y = 4x + 40                   ...2

From equations 1 and 2, then we have

6x + 20 = 4x + 40

2x = 20

x = 10

The equation that represents City Printing will be y = 4x + 40. Then the correct option is A. And the number of shirts for the same cost will be 10.

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Answer:

-2(2+5r)

Step-by-step explanation:

-(7+10r)+3

then you remove the parentheses

-7-10r+3

calculate the sum

-4-10r

factor the expression

-2(2+5r)

Answer:

gh uv

Step-by-step explanation:

gh is congruent to us because g corresponds w u and h corresponds with v

The maximum amount Elvira may contribute to a self-employed retirement plan in 2022 is $46,000 or 25% of her net Schedule C income, whichever is less.

As a self-employed taxpayer, Elvira has the option to set up a retirement plan, which can provide tax advantages and help her save for the future. The maximum amount she can contribute to the plan depends on her net Schedule C income.

In this case, Elvira's net Schedule C income for 2022 is $130,000. There are different types of retirement plans available for self-employed individuals, such as a Simplified Employee Pension (SEP) IRA or a solo 401(k). The contribution limit for a SEP IRA is based on a percentage of net self-employment income.

For 2022, the maximum contribution Elvira may make to a self-employed retirement plan is $46,000 or 25% of her net Schedule C income, whichever is less. In this scenario, since 25% of $130,000 is $32,500 (less than $46,000), Elvira may contribute up to $32,500 to the retirement plan.

It's important for Elvira to consult with a tax professional or financial advisor to determine the most suitable retirement plan for her situation and to ensure she follows the contribution rules and limits set by the Internal Revenue Service (IRS).

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Answer:

A.) 6:51

B.)The train at 6:42

C.)34 minutes

Answer:

Put it in your calculator then you will get the right answer.

Step-by-step explanation:

To justify the statement ln(17) = 2.833 mathematically, we can use the definition of the natural logarithm function.

The natural logarithm of a number x, denoted as ln(x), is defined as the exponent to which the base e (approximately 2.71828) must be raised to obtain the number x.

In this case, we have ln(17) = 2.833. To justify this statement mathematically, we can rewrite it using the definition of the natural logarithm:

e^(2.833) = 17

Here, e represents the base of the natural logarithm function, which is approximately 2.71828. By raising e to the power of 2.833, we should obtain the value of 17.

So, the mathematical equation to justify the statement ln(17) = 2.833 is e^(2.833) = 17.

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Answer:

A

Step-by-step explanation:

Associative property:

(a+b)+c=a+(b+c)

(a*b)*c=a*(b*c)

True. Birth statistics typically include data on both live births and fetal deaths.

Fetal deaths refer to the loss of a pregnancy before the fetus is delivered and can be classified as either early or late fetal deaths, depending on the gestational age at the time of the loss. While the focus of birth statistics is often on live births, tracking fetal deaths is important for monitoring the health of pregnant women and identifying potential risks or problems with pregnancy. In the United States, fetal death statistics are typically collected by state health departments and reported to the National Vital Statistics System. These statistics provide important information for researchers, healthcare providers, and policymakers working to improve maternal and fetal health outcomes.

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Answer:

Step-by-step explanation:

The ordered pair is located on the boundary line of the graph of the inequality, and because the sign is "less than or equal to", the values on the boundary line are also included in the solution set.

Looking at this logically, we also see that it certainly possible for half the seats to be occupied by adults and half by children.

Transfer function of the system is:X(s)/Y(s) = 10/(s^2+1.6s+4)We need to find the following:

a) Y(t); b) Percent overshoot; c) Ultimate value of Y(t); d) Maximum value of Y(t) and e) Period of oscillation.

(a) Calculation of Y(t):The transfer function of the system isX(s)/Y(s) = 10/(s^2+1.6s+4)Now, applying the Laplace inverse on both sides,Y(s) = 10/(s^2+1.6s+4) × X(s)Taking the inverse Laplace of Y(s),y(t) = L^-1 {10/(s^2+1.6s+4) × X(s)}Using partial fraction decomposition to find the inverse Laplace of Y(s), we get:y(t) = 1.2508{ 2.22 e^(-0.8t) - 0.22 e^(-3.2t)}Therefore, the value of Y(t) is 1.2508{ 2.22 e^(-0.8t) - 0.22 e^(-3.2t)}.

(b) Calculation of percent overshoot:The transfer function of the system isX(s)/Y(s) = 10/(s^2+1.6s+4)The damping ratio (ζ) can be given asζ = 1/2 √(ζ²-4)ζ = 1/2 √(1.6²-4)ζ = 0.6For a second-order system with a damping ratio of 0.6, the percent overshoot is given as:%OS = e^(-ζπ/√(1-ζ²)) × 100%OS = e^(-0.6π/√(1-0.6²)) × 100OS = 26.12%Hence, the percent overshoot is 26.12%.

(c) Calculation of the ultimate value of Y(t):The transfer function of the system isX(s)/Y(s) = 10/(s^2+1.6s+4)For the ultimate value of Y(t), we take the limit of sY(s) as s tends to 0.The value of Y(s) is given as:Y(s) = 10/(s^2+1.6s+4) × X(s)On simplifying the above equation, we get:sY(s) + 1.6 Y(s) + 4 Y(s) = 10 X(s)Now, taking the limit of sY(s) as s approaches 0,sY(s) = lim s→0 sY(s) = 0Therefore, 1.6 Y(s) + 4 Y(s) = 10 X(s)Taking the limit of Y(s) as s approaches 0,0 = 10 X(0)Y(0) = 2.5Hence, the ultimate value of Y(t) is 2.5.

(d) Calculation of the maximum value of Y(t):The maximum value of Y(t) is given as:Ymax = 2.5 + (1+ζ²)^0.5 e^(-ζπ/√(1-ζ²)) / (ζ√(1-ζ²))The value of ζ is 0.6Hence, substituting the value of ζ in the above equation, we get:Ymax = 2.5 + (1+0.6²)^0.5 e^(-0.6π/√(1-0.6²)) / (0.6√(1-0.6²))Ymax = 3.129

(e) Calculation of the period of oscillation: The period of oscillation is given as:T = 2π / ωnWhere,ωn = √(1-ζ²) / (2ζ)Therefore,ωn = √(1-0.6²) / (2 × 0.6)ωn = 1.302Therefore,T = 2π / ωnT = 4.830sHence, the period of oscillation is 4.830s.

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Answer

bruh where's the explanation

Step-by-step explanation:

Answer:

Your answers are A,B,D, and F

Step-by-step explanation:

When dealing with negatives the answer is always going to be negatives under -8 like -5, or whole numbers like 3

Answer:

la raíz cuadrada de 35 es: √35= 5.91 el resultado es: 5,91.

The quadratic function is \(f(x) =3x^2 -2x +5\)

The table entries are given as:

x : -2, -1, 0, 1, 2.

f(x) : 21, 10, 5, 6, 13

A quadratic function is represented as:

\(f(x) = ax^2 + bx + c\)

When x = 0, we have:

\(f(0) = a(0)^2 + b(0) + c\)

\(f(0) = c\)

From the table,

\(f(0) =5\)

So, we have:

\(c = 5\)

The quadratic function becomes

\(f(x) = ax^2 + bx + 5\)

Also from the function, we have:

\(f(-1) = 10\)

So, the function becomes

\(a(-1)^2 + b(-1) + 5 = 10\)

\(a -b + 5 = 10\)

Subtract 5 from both sides

\(a -b = 5\)

Also from the function, we have:

\(f(1) = 6\)

So, the function becomes

\(a(1)^2 + b(1) + 5 = 6\)

\(a + b + 5 = 6\)

Subtract 5 from both sides

\(a + b = 1\)

Make a, the subject

\(a = 1 - b\)

Substitute 1 - b for a in \(a -b = 5\)

\((1 - b) - b= 5\)

\(1 - b - b= 5\)

\(1 - 2b= 5\)

Subtract 1 from both sides

\(- 2b= 4\)

Divide both sides by -2

\(b= -2\)

Substitute -2 for b in \(a = 1 - b\)

\(a=1+2\)

\(a=3\)

So, the function becomes

\(f(x) =3x^2 -2x +5\)

Hence, the quadratic function is \(f(x) =3x^2 -2x +5\)

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Answer: B

Step-by-step explanation:

Answer:

0.5 m³

Step-by-step explanation:

You have a rectangular prism and a cube.  Find the volume of each separately.  After solving, add the two volumes together to find the total volume.

Cube

The side length is 0.5 m.

V = a³

V = (0.5 m)³

V = 0.125 m³

Rectangular Prism

The height is 0.75 m, the width is 0.5 m, the length is 1 m.

V = lwh

V = (0.75 m)(0.5 m)(1 m)

V = 0.375 m³

0.125 m³ + 0.375 m³ = 0.5 m³