What is the equatipn of the linear graph?
(-4, 6).
(1, -9)

The slope of the equation is 0.6, which means that for every second, the computer downloads 0.6 megabytes of data, option C is correct.

The linear equation that represents the number of megabytes downloaded per second can be determined by dividing the total amount of data downloaded (3 MB) by the time taken to download it (5 seconds). This gives us the rate of download in megabytes per second (MB/s). Therefore, the equation is:

y = 0.6x

where y represents the number of megabytes downloaded per second and x represents the time taken to download the data. The negative slope values in the other options do not make sense, as the number of megabytes downloaded per second should be a positive value, option C is correct.

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The probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.

σ_sample = σ / sqrt(n)

σ_sample = 2.5 / sqrt(55)

σ_sample ≈ 0.336

Now, we can standardize the values of 17 and 18 pounds using the Z-score formula. This will tell us how many standard deviations away from the population mean these values are:

Z = (X - μ) / σ_sample

Z_17 = (17 - 17.2) / 0.336 ≈ -0.595

Z_18 = (18 - 17.2) / 0.336 ≈ 2.381

Now we will use the standard normal distribution (Z-distribution) to find the probabilities corresponding to these Z-scores. You can use a Z-table, statistical software, or an online calculator to find these probabilities.

P(Z < -0.595) = 0.2760

P(Z < 2.381) = 0.9915

To find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds, we will find the difference between the probabilities corresponding to the two Z-scores:

P(17 < X < 18) = P(Z < 2.381) - P(Z < -0.595)

P(17 < X < 18) = 0.9915 - 0.2760

P(17 < X < 18) ≈ 0.7155

So, the probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.

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Answer:

The formula for the area of a regular heptagon is:

A = (7/2) * s * a

where:

s = length of one side

a = length of the apothem

Plugging in the given values, we get:

A = (7/2) * 7.0 cm * 7.3 cm

A ≈ 178.715 cm²

Therefore, the area of the given heptagon is approximately 178.715 cm².

Answer:

We conclude that:

\(20\times \:3\frac{1}{5}=64\)

Step-by-step explanation:

Given the expression

\(20\:\times 3\frac{1}{5}\)

convert mixed number to improper fraction: \(a\frac{b}{c}=\frac{a\times c+b}{c}\)

i.e. \(3\frac{1}{5}=\frac{3\times 5+1}{5}=\frac{16}{5}\)

so the expression becomes

\(20\:\times 3\frac{1}{5}\:=20\times \:\frac{16}{5}\)

Factor the number: 20 = 5×4

              \(=5\times \:4\times \frac{16}{5}\)

Cross-cancel common factor: 5

               \(=4\times \:16\)    

Multiply the numbers: 4×16 = 64

               \(=64\)

Therefore, we conclude that:

\(20\times \:3\frac{1}{5}=64\)

The values of all sub-parts have been obtained.

(1). The option B is correct answer which is 65.

(2). The option A is correct answer which is $1315.

What is EOQ model?

Economic order quantity (EOQ) refers to the optimal number of units that a business should buy to satisfy demand while reducing inventory costs including holding costs, shortage costs, and order costs.

(1). Evaluate the safety stock:

As given,

Demand during lead time = 90 units, and standard deviation = 40 units.

Service level = 95%, and its value is 1.64.

Safety stock = Service level × standard deviation

                     = 1.64 × 40

                     = 65.

Hence, the option B is correct.

(2). Evaluate the Annual carrying cost:

As given,

Co = $120, Cc = $15, Cs = $40, and demand (D) = 5000 units.

φopt = √ [(2CoD/Cc) {(Cs + Cc) /Cs}]

Substitute values,

φopt = √ [(2*120*5000/15) {(40 + 15) /40}]

φopt = 331.66

φopt ≈ 332 units.

Now,

Sopt = φopt {Cc/(Cc + Cs)}

Substitute values,

Sopt = 332 {15/(15 + 40)}

Sopt = 90.5454

Sopt ≈ 91 units.

Now calculate Annual carrying cost,

Annual carrying cost = (Cc/2φopt)*(φopt - Sopt)²

Substitute values,

Annual carrying cost = [15/(2 × 332)]*[332 - 91]²

Annual carrying cost = (15/664)*(241)²

Annual carrying cost ≈ 1315 units.

Hence, the Annual carrying cost is $1315.

Hence, the values of all sub-parts have been obtained.

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It would not be possible to construct a triangle with those given measurements.

What is triangle ?

Triangle can be defined which it consists of three sides, three angles and sum of three angles is always 180 degrees.

The conditions that will result in the construction of a unique triangle are:

C) side lengths: 2 in., 7 in., 8 in.

D) side lengths: 5 ft., 6 ft., 12 ft.

E) side lengths: 11 cm, 15 cm, 17 cm.

In each of these cases, the side lengths satisfy the triangle inequality, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. This ensures that the three sides can be connected to form a unique triangle.

The other options do not satisfy the triangle inequality, and

Therefore, it would not be possible to construct a triangle with those given measurements.

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Answer:

what grade is this?

Answer:

Step-by-step explanation:

4/5x = 1

4x = 5

x = 5/4

solution is c

Answer:

C. \(x = \frac{5}{4}\)

Step-by-step explanation:

\(\frac{4}{5} x =1\\\\\frac{4}{5} *\frac{5}{4} x =1*\frac{5}{4} \\\\x = \frac{5}{4}\)

The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.

To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.

Among the options given:

a. 208 m has three significant figures.

b. 18050 m has five significant figures.

c. 0.08 m has two significant figures.

d. 0.750 m has three significant figures.

e. 12.0 m has three significant figures.

The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.

Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.

On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.

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Answer:

1. She should use Length x Width x Height.

2. The unit of the answer is 30.

3. The volume of the box is 30 units.

The sun is [(1.974) * (10^1)] times farther from Neptune, than Mercury, mentioned in scientific notation.

As per the question statement, there is no information provided about the actual distance of the sun from Neptune, or from Mercury. Hence, let us consider that the actual distance of the sun from Neptune is [4.5 * (10^9)] kilometers, while that from Mercury is [2.28 * (10^8)] kilometers.

We are required to calculate the number of times, which the sun is times farther from Neptune, than Mercury, and express our desired answer in proper scientific notation.

Considering that, the sun is "x" times farther from Neptune, than Mercury, we can state that,

[{2.28 * (10^8)} * x] = {4.5 * (10^9)}

or, x = [{4.5 * (10^9)}/{2.28 * (10^8)}]

or, x = [{4.5 * 10 * (10^8)}/{2.28 * (10^8)}]

or, x = [{45 * (10^8)}/{2.28 * (10^8)}]

or, x = (45/2.28)

or, x = 19.7368

or, x = 19.74

or, x = [(1.974) * (10^1)]

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Answer:

Explanation:

Given a parabola with the following properties:

• Vertex: (-2, 1)

• Focus: (-2, 4)

We want to write an equation for the parabola.

The standard equation of an up-facing parabola with a vertex at (h,k) and a focal length |p| is given as:

We solve for p:

Substitute the values h=-2, k=1, and p=3 into the standard form given earlier:

The equation for the parabola is:

The last option is correct.

The solution to the system of equations using substitution is: x = 3 and y = -4.

Given the system of equations:

-7x - 2y = -13 -----> equation 1

x - 2y = 11 -----> equation 2

Rewrite equation 2

x - 2y = 11

x = 11 + 2y

Substitute x = (11 + 2y) into equation 1

-7(11 + 2y) - 2y = -13

-77 - 14y - 2y = -13

-77 - 16y = -13

-16y = -13 + 77

-16y = 64

y = -4

Substitute y = -4 into equation 2

x - 2(-4) = 11

x + 8 = 11

x = 11 - 8

x = 3

Therefore, the solution to the system of equations using substitution is: x = 3 and y = -4.

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Answer:

y = x³ - 12x² + 41x - 30

Answer:

the last one: -7 1/4-(-3 1/3)

Answer:

I think it is 3 1/3-(-7 1/4)

Step-by-step explanation:

Algabra equation

+ + = +

+ - = -

- - = +

- + = -

I hope you got it...

Answer:

1,2,3,5,8,13,.......

Step-by-step explanation:

We can have a sequence that adds the previous two terms to get the next term

1,2,3,5,8,13,.......

This is neither geometric nor arithmetic

In order to divide these numbers, first let's start with a 0 in the unit place, since 9.2 is smaller than 52.063.

Then, we multiply 9.2 by 10, this way we will calculate the tenths place.

Now, dividing 92 by 52.063, we have 1 as the result.

The remainder will be 92 - 52.063 = 39.937.

Again, let's multiply the remainder by 10, so now we will calculate the hundredths of the result.

Dividing 399.37 by 52.063 we have 7.

The remainder is 399.37 - 7*52.063 = 34.929.

Multiplying by 10, we have 349.29, and now we calculate the thousandths.

Dividing 349.29 by 52.063 we have 6.

Until now, the result of the division is 0.176.

Rounding to the nearest hundredth, we have 0.18 as the result of the division.

let number be x

1/6x - 1/12x= 4

1/12x=4

cross multiply

x= 12 x 4

x= 48

If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.

Let the unknown number be 'a'

One-sixth of the number is expressed as 1/6 a ..... 1

One-twelfth the number is also expressed as 1/12 a

Four more than one-twelfth the number will be written as:

1/12 a + 4 .... 2

Equating 1 and 2 will give:

1/6 a = 1/12 a + 4

a/6 = a/12 + 4

Collect the like terms

\(\frac{a}{6} - \frac{a}{12} = 4\)

Find the LCM

\(\frac{2a-a}{12} = 4\\\frac{a}{12} = 4\)

Cross multiply

a = 12×4

a = 48

This shows that the required number is 48

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Answer:

Step-by-step explanation:

must gain 10 yards

they lost 24 yards

gained 4

-24 + 4 = -20

they lost 10 more

- 20 -10 = -30

x + -30 = 10

x = 10 + 30

x = 40 yards

Answer:

We rotate the point counterclockwise by an angle θ = tan⁻¹ (y/x)

Step-by-step explanation:

If we have the point (x, y), its reflection along the x-axis (x,-y). The reflection of the point (x, -y) along the y - axis is (-x, -y). So, the angle between the initial point (x, y) and the final point (-x, -y) is θ = tan⁻¹ [(-y - y)/(- x -x)] = tan⁻¹ [(-2y/(-2x)] =  tan⁻¹(y/x).

So, the point (x, y) is rotated counterclockwise by an angle of  θ = tan⁻¹ (y/x) to perform both reflections.

The distance of point from the axis of rotation of the second hand is 8.2 cm.

Here,

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.

We have to find the distance of point from the axis of rotation of the second hand.

What is Rotation?

The circular motion of an object around the circle is called Rotation.

Now,

Let us consider the equation for the centripetal acceleration given by;

\(a_{c} = \frac{v^{2} }{r}\)

where, v is the velocity and r is the radius.

Now, the velocity can be expressed as;

\(v = wr = \frac{2\pi r}{T}\)

where, ω is the angular velocity and T is the period.

Solving for the radius using these equations given as;

\(a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm\)

Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.

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The results of the experiment are likely to be invalid mostly because the treatment group and control group were not the same size.

In an experiment, the treatment group are those groups that receives the test drug or the group that the researcher manipulates or changes. It is also called an independent variable.

The control in an experiment is defined as the group in an experiment that remains unaffected by other variables and are not given the testing drug.

From the given experiment, the number of volunteers selected are 60 with 40 men and 20 women.

The result of the experiment is likely going to be invalid since the number of control group and treatment group are not the same which should be.

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Answer:

8 flags can be chosen for the first position

7 flags are left for the second position

6 flags are left for the third position

8 * 7 * 6 = 336

Answer:

The times when it was warmer than -5°F are 12:00 p.m. only.

To determine the times when the temperature was warmer than -5°F, we compare the recorded temperatures at different times during the day.

The temperature at 7:00 a.m. was -8°F, which is colder than -5°F. Therefore, it was not warmer than -5°F at 7:00 a.m.

The temperature at 12:00 p.m. was 2°F, which is warmer than -5°F. Therefore, it was warmer than -5°F at 12:00 p.m.

The temperature at 6:00 p.m. was -4°F, which is colder than -5°F. Therefore, it was not warmer than -5°F at 6:00 p.m.

Based on the recorded temperatures, it was warmer than -5°F only at 12:00 p.m. So the correct answer is "12:00 p.m."

It's important to note that the temperatures mentioned in this context are specific to the science project and may not reflect actual weather conditions.

Additionally, weather conditions can vary greatly based on location and time of year.

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Answer: D

Step-by-step explanation:

Using the first two points, the slope is \(\frac{1-3}{3-0}=-\frac{2}{3}\).

Since the y-intercept is 3, the equation is \(y=-\frac{2}{3}x+3\).

Jon spend 56 minutes in reading

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Jon spent 1 hour 17 minutes less than Camden

Camden spent 47 minutes less than Pete.

Pete spent 3 hours reading.

Since, pete spent 3 hours. So, Camaden spent

= 3 hours or (180 minutes) - 47 minutes

= 2 hours 13 minutes.

Now, Jon spent = 2 hrs 13 minutes - 1 hour 17 minutes

                         = 56 minutes

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Answer:

15-67X/30X

Step-by-step explanation:

Answer:

The inverse of a power function of exponent n is a nth root radical function. For example, the inverse of y = 10x^2 is y = √(x/10) (at least for positive values of x and y).