Napolean went on a bus trip, traveling at a speed of 55 miles per hour for 4 hours. Which equation will help you find the distance he traveled?
StartFraction 55 miles Over 1 hour EndFraction = StartFraction 4 hours Over question mark miles EndFraction
StartFraction 55 miles Over 1 hour EndFraction = StartFraction question mark miles Over 4 hours EndFraction
StartFraction 55 miles Over 4 hours EndFraction = StartFraction 1 hour Over question mark miles EndFraction
StartFraction 55 miles Over 4 hours EndFraction = StartFraction question mark miles Over 1 hour EndFraction

Answer:

42 is the median

Complex number z has a power of 5 represented by (-16√3 + 16) + 4(-√3 + 3)i

Given that,

z = 1 + StartRoot 3 EndRooti, what is z5? 16 + 16StartRoot 3 EndRoot i –16 + 16StartRoot 3 EndRoot i –16 – 16StartRoot 3 EndRoot i 16 – 16StartRoot 3 EndRoot i

What is a complex number?

It is characterized as a number that can be expressed as x+iy, where x is a real number or the real portion of the complex number, y is the imaginary portion of the complex number, and I is the iota, which is just the square root of -1.

We have:

z = 1 + √3i

We have to find: z⁵

z⁵ = (1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)

z⁵ = (-2 + 2√3)(1 + √3i)(1 + √3i)(1 + √3i)

z⁵ = (-16√3 + 16) + 4(-√3 + 3)i

Therefore, the complex number z's power of 5 is -16√3 + 16) + 4(-√3 + 3)i

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Answer:

70 degrees

Step-by-step explanation:

Supplementary angles are angles that have a sum of 180. So if 110 is one angle, 70 must be the other to total 180:

110+ x = 180

x = 70

Answer:

70°

Step-by-step explanation:

Answer:

To determine Beau's front-end ratio, you need to calculate the percentage of his monthly income that will be taken up by his mortgage, homeowner's insurance, property taxes, credit card payment, and car payment.

First, add up all of Beau's monthly expenses: $1,025 (mortgage) + $635 (homeowner's insurance) / 6 (months in a half year) + $4,785 (property taxes) / 12 (months in a year) + $2,000 (credit card payment) + $250 (car payment) = $3,715.83.

Next, divide this total by Beau's monthly income: $3,715.83 / ($89,750 / 12) = $3,715.83 / $7,479.17 = 0.49, or approximately 49%.

Since this ratio is expressed as a percentage, the final answer is 49%. Therefore, the correct answer is (d) 24%.

Answer:

The answer is 19

Step-by-step explanation:

Range is the difference between the largest and smallest number, so in this case the largest number is 25 and the smallest number is 6. Subtract 25 and 6 to get the range. So the answer would be, The range of the following numbers is 19.

Answer:

1075 sq ft

Step-by-step explanation:

There are a few ways to do this but I am only going to show one.

35 x (25 + 8) - (5 x 8 + 8 x 5) = 1155 - 80 = 1075

The linear function that defines C is given as follows:

C(x) = 400 + 100x.

The y-intercept of 400 represents that the fixed cost of producing zero phones on a day is of $400.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the image given at the end of the answer, the values of these parameters are given as follows:

m = 100, b = 400.

The y-intercept of 400 are the operating costs of the company, as they have to be paid even when zero phones are produced, and thus the equation is given as follows:

y = 100x + 400.

The graph is given by the image shown at the end of the answer.

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The proportion of defective corks produced by this machine through z test comes out is 0.320.

Given mean of 2 cm and standard deviation of 0.1 cm, The diameter is between 1.9 and 2.1 cm.

We have to find the proportion of defective corks that are produced by machine.

In this problem we have to first find z score and then we will be able to find the probability of defective corks produced by the machine.

Z=(X-μ)/σ

μ=2 cm and σ=0.1 cm.

Z value corresponding to X=1.9.

Z=(1.9-2)/0.1

=-0.1/0.1

=-1

Z value corresponding to X=2.1.

Z=(2.1-2)/0.1

=0.1/0.1

=1

P value of P(-1<Z<1)=2*0.3410=0.6820

Proportion of corks which are not defective=0.6820.

Proportion of corks which are defective=1-0.680.

=0.320

Hence the proportion of defective corks produced by machine is 0.320.

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A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

Answer:

Step-by-step explanation:

xy=34

Answer:

5.33 unit

Step-by-step explanation:

logically FA = EA - EF = 13.33-8 = 5.33 units

Since, E, F and A all lie on the same line EA . The information ED=  units is redundant. Therefore we can say that FA= 5.33 unit

The length of FA is 5.33 units

The given parameters are:

\(\mathbf{EF = 8}\)

\(\mathbf{ED = 10}\)

\(\mathbf{EA = 13.33}\)

EF and EA implies that point E is between line FA

So, the length of FA is calculated using:

\(\mathbf{FA = EA - EF}\)

Substitute known values

\(\mathbf{FA = 13.33 - 8}\)

Subtract

\(\mathbf{FA = 5.33}\)

Hence, the length of FA is 5.33 units

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Answer:

7/8

Step-by-step explanation:

1 3/4 is also 7/4

solve 7/4 times 1/2 by cross multiplying

= 7/8

Answer:

first option

Step-by-step explanation:

the y-intercept is where the line crosses the y-axis, it does so at -1

Answer:negative

Step-by-step explanation:

Because it should be on the bottom left corner if you are using a graph it is different in each corners of the graph. There is four sides for the graph.

The Discussion section of a report is an essential part where you can delve into the theories related to your research topic, irrespective of the results.

In this section, you have the opportunity to analyze and interpret your findings and draw conclusions from them.

You can also discuss the implications of your research and suggest future directions for further investigation.

Additionally, it is crucial to discuss relevant literature in this section to provide context for your findings and demonstrate your knowledge of the subject area.

However, it is essential to avoid merely restating points already made in previous sections but instead reformulate them and provide additional insights.

In summary, the Discussion section is a crucial part of the report, providing a space for reflection and critical thinking about your research findings.

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Answer:

pi/2, 330 degres,5pi/3, 7pi/6, 2pi/3 5pi/3, 7pi/6, 2pi/3, pi/2, 330

this the correct answer hope this helps you !!

Answer:

The correct order from greatest to least will be 330 degrees, 5pi/3,7pi/6, 2pi/3, pi/2 .

Step-by-step explanation:

The value of π is 180° .

therefore 2/3π =300°

7/6π=209.88°

2/3π=118.8°

π/2=90°

Hence by looking at the value above we can arrange them in greatest to least order as 330 degrees, 5pi/3,7pi/6, 2pi/3, pi/2 .

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The method of periodization that an athlete performs is  traditional periodization method.

Given,

An athlete perform five sets of five repetitions at 90% of 1rm on the first day of the week, five sets of fourteen repetitions at 85% of 1rm on the next training day, and five sets of two repetitions at 62.5%of 1rm on the last training day of the week;

Here,

The example above, where the percentage of one-repetition maximum (1RM) decreases as the training day progresses, is essentially a traditional periodization method.

As a result, during the course of the training cycle, the athletes' completed work gradually grows. As a result, as the load increases over time, there is a corresponding decrease in volume.

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Therefore, the estimated fox population in the year 2008 is 40689 using function.

Part (a) is answered correctly. The function P(t) represents the fox population in years after 2000, where t is the number of years. The formula for the function is obtained using the exponential growth model, where the initial population in 2000 is multiplied by the growth factor (1 + 0.04)^t.

(a) The function that models the fox population in years after 2000 is given by:

P(t) = 29700 * (1 + 0.04)^t, where t is the number of years after 2000.

For part (b), we substitute t = 8 into the function P(t) to estimate the fox population in the year 2008. We get P(8) = 29700 * (1 + 0.04)^8, which simplifies to P(8) = 40688.76. Since the answer should be an integer, we round the result to the nearest whole number and get 40689 as the estimated fox population in the year 2008.

(b) To estimate the fox population in the year 2008, we need to find P(8):

P(8) = 29700 * (1 + 0.04)^8 = 29700 * 1.369 = 40689 (rounded to the nearest integer)

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The point is on second quadrant.

P(x, y) is on the unit circle

radius of the circle must be 1

The equation x² + y² = r²

\(y=\frac{2}{3}\), r =1

\(x^{2} (\frac{2}{3}) ^{2}= 1^{2}\)

\(x^{2} +\frac{4}{9} =1\)

\(x^{2} =1-\frac{4}{9}\)

\(x^{2} =\frac{5}{9}\)

\(x=\sqrt{\frac{5}{9} }\)

x = ±\(\sqrt{\frac{5}{9} }\)

x- c00rdinate is negative = - \(\sqrt{\frac{5}{9} }\)

P(x, y) = \((-\sqrt{\frac{5}{9} }, \frac{2}{3})\)

Therefore, the point is on second quadrant.

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Answer:

\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)

False. In a simple regression analysis, the response variable y does not necessarily have to be the business outcome that we wish to understand better.

In regression analysis, the response variable (dependent variable) represents the outcome or variable of interest that we want to explain or predict. It is the variable that we seek to model or understand based on the values of one or more predictor variables (independent variables).

While the response variable in a regression analysis can indeed be a business outcome, such as sales revenue or customer satisfaction, it can also be any other measurable variable that we want to study or analyze, such as temperature, time, or test scores. The choice of the response variable depends on the research question and objectives of the analysis.

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Answer:

B.3/2

Step-by-step explanation:

Answer:

  128π/3 cubic units

Step-by-step explanation:

You want the volume of a cylinder inscribed in a triangular prism that has all edges 8 units long.

The base of the prism is an equilateral triangle with side length 8. Such a triangle has an altitude of ...

  8(√3/2) = 4√3

The centroid of the triangle is also the center of the incircle. That is located 1/3 of the length of the altitude from each side. That distance is the radius of the inscribed cylinder.

  r = (4√3)/3 = 4/√3

Then the area of the base of the cylinder is ...

  A = πr² = π(4/√3)² = 16π/3

The height of the cylinder is 8 units, so the volume is ...

  V = Bh

  V = (16π/3)(8) = 128π/3

The volume of the inscribed cylinder is 128π/3 cubic units.

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Answer:

the third choice

Step-by-step explanation:

Answer:

x is about 60.1

Step-by-step explanation:

1. We have the adjacent side and hypotenuse, therefore the cosine ratio must be used

2. Equation: cos37=48/x

3. Simplify on calculator by finding 48/cos37

4. about 60.1

Answer: x is approximately 60.1

Step-by-step explanation:

cos (37) = 48/x

x = 48/cos (37)

x = 60.1

Answer: 1/36 ==> c

Step-by-step explanation:

\(6 ^{-2}\)=

\(6 ^{-1*2}\)=

\((6^{-1}) ^{2}\)=

\((\frac{1}{6} ) ^{2}\)=

\(\frac{1^{2}}{6^2}\)=1/36 ==> c

Answer:

She would have to move -18 spaces

Step-by-step explanation:

There's 6 cards each say to move -3.

so do 3×6=18 so she moves -18 spaces

Answer:

Step-by-step explanation:

Answer:

y/x = 1.57

Step-by-step explanation

Y=kx

k=$1.57

y=1.57x

divid by x

y/x=1.57

The difference between the amount earned and the amount spent will be $ 1.57 per square ft.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running or creating anything.

Saleem is a landscape architect.

When he creates a lawn, his supplier charges $.43 per square foot for sod.

Saleem charges his customers $2.00 per square foot to lay the sod.

The profit Saleem makes when creating a lawn varies directly as the number of square feet of sod.

Then the profit will be

Profit = 2 - 0.43

Profit = $ 1.57 per square foot

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