A manufacturer is designing a two-wheeled cart that can maneuver in tight spaces. On one test model, the wheel placement (center) and radius are modeled by the equation (x – 4)2 + (y + 1.5)2 = 4. Which graph shows the position and radius of the wheels?

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The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.

To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).

Given data ,

Let the polar curve be represented as A

Now , the polar coordinates is given as

r = -4 sin ( 3θ )

And , To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

So , on simplifying , we get

The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Hence , the polar curve is r = -4 sin ( 3θ )

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Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

option A 12x is the correct answer

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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answer: The Earth's place in the galaxy was determined largely by an astronomer named Harlow Shapley.  Thanks to the regular periods of these stars and their presence in globular clusters, Shapley was able to map the distances to a number of clusters.

Step-by-step explanation:

Answer:

An astronomer Named Harlow Shapley was the one who announced where we are in space ( Earth ). How? with the help with stars brightness ( Absolute Magnitude ) whereas to how bright a stat appears to be ( magnitude ) they use that calculation to determine the distance from Earth. Harlow Shapley couldn't do this on his own as he needed help with another one's work named Henrietta Swan Leavitt. ( Who established that "Variable Stars" could determine the "astronomical distance " )

Answer:

Step-by-step explanation:

A bar graph or a column chart would be the best type of graph to show the number of students who earned extra credit each day this week.

The visual display of data (often grouped) in the shape of vertical or horizontal rectangular bars, with the length of the bars corresponding to the measure of the data, is called a bar graph. Bar charts are another name for them.

The bar graph or column chart will allow you to easily compare the number of students who earned extra credit on each day of the week and see any trends or patterns that may exist.

The vertical bars on the graph represent the number of students who earned extra credit, and the horizontal axis shows the days of the week.

You could also consider using a line graph to show the trend in the number of students earning extra credit over the course of the week,

but this would not be as effective in comparing the number of students who earned extra credit each day.

Therefore, the bar graph or column chart is the required graph.

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In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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To answer your question, you need to find the rate of bike travel first. The rate is the ratio of distance to time, so you can divide the distance by the time to get the rate. In this case, the rate is 24 miles / 3 hours = 8 miles per hour. This means that the bike travels 8 miles every hour. To find how many miles the bike travels in 10 hours, you can multiply the rate by the time. In this case, the distance is 8 miles per hour x 10 hours = 80 miles. So, the bike travels 80 miles in 10 hours at this rate.

The average rate of bike travel in the United States is about 1% of all trips while in the United Kingdom it is about 2%. The average distance cycled per year in the United States is about 9 billion miles, while in the United Kingdom it is about 3.3 billion miles.

Hope this helps you, bye! :D

Answer:

The bike travels 80 miles in 10 hours.

Step-by-step explanation:

We need to break this up into units.

To do this, we have to find how many miles the bike can travel in per hour.

This can be done by dividing 24 miles by three hours:

24/3 = 8

This is equal to 8 which means the bike travels 8 miles per hour.

Now, we can calculate how many miles the bike travels in 10 hours by multiplying by 10.

8*10 = 80

Therefore, the bike travels 80 miles in 10 hours.

Answer: Always equal to

Step-by-step explanation:

A one way analysis of variance refers to the technique that is used in knowing if there's significant difference between two samples means.

Based on the options given, it should be noted that SS (Treatment) in the one-way ANOVA model is always equal to the SS (Treatment) in the randomized block design ANOVA model.

Answer:

24 3/4 - 15 1/6

Step-by-step explanation:

1/6 x 4 = 4/24        3/4 x 6 = 18/24    

24-15 = 9

9 14/24 or 9 7/12

Answer:

\(\displaystyle{=-\dfrac{p^5}{6}}\)

Step-by-step explanation:

Given the expression:

\(\displaystyle{\dfrac{1}{-6p^{-5}}}\)

We have to apply the negative exponent law where:

\(\displaystyle{x^{-n} =\dfrac{1}{x^n}}\)

Thus:

\(\displaystyle{\dfrac{1}{-6p^{-5}}= \dfrac{1}{-6\cdot \dfrac{1}{p^5}}}\\\\\displaystyle{=\dfrac{1}{ - \dfrac{6}{p^5} }}\\\\\displaystyle{= 1 \cdot \left(-\dfrac{p^5}{6}\right)}\\\\\displaystyle{=-\dfrac{p^5}{6}}\)

But there's a trick here, consider this:

\(\displaystyle{\dfrac{a}{kb^{-n}}}\\\\\displaystyle{=\dfrac{a}{\dfrac{k}{b^n}}}\\\\\displaystyle{=\dfrac{ab^n}{k}}\)

So the trick is to just move \(p^{-5}\) up then you'll have \(p^5\) as a numerator (top) which still results the same as the answer.

As per the concept of unitary method, there are 180.8 ml of the 65% mixture will you need to add to obtain the desired solution

Unitary method:

Basically, the way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

Given,

You need a 35% alcohol solution. On hand, you have a 300 mL of a 20% alcohol mixture. You also have 65% alcohol mixture.

Here we need to find how much of the 65% mixture will you need to add to obtain the desired solution.

Let us consider x be the amount of the 65%  alcohol needed (in milliliters.

Here the amount of the resulting 65%  alcohol solution will be is (x+15) milliliters.

So, the amount of the "pure" alcohol in 300 mL of the 20% alcohol solution is written as,

=> 0.20 x 300 mL.

And the amount of the "pure" alcohol in x mL of the 65% alcohol solution is written as,

=> 0.65 * x mL.

Therefore, the total amount of the "pure" alcohol in ingredients is the sum  and it can be calculated as,

=> 0.20*300 + 0.65*x mL.

So, it should be equal to the amount of the "pure" alcohol in the mixture, which is written as,

=> 0.35 * (x+15) ml.

Therefore, your "pure alcohol" equation is

=> 0.65* x + 0.20 * 300 = 0.35*(x+15).

When we simplify this one then we get the value of x as,

=> 0.65* x + 0.20 * 300 = 0.35*(x+15).

=> 0.65x + 60 = 0.35x + 5.25

=> 0.3x + 54.25

=> x = 180.8

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Answer:

100

Step-by-step explanation:

If you ever have an equation with x divided by a number, and another number on the other side, just multiply x/whatever number by that number.

So:

\(\frac{x}{5} = 20\)

multiply \(\frac{x}{5}\) by 5, and 20 by 5

So, you get x (multiplying by the denominator cancels out the denominator) and 100, which is basically x = 100.

a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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Answer:

8+8=0 because it equals 16

Answer:

First find the x and y intercepts. Recall that intercepts intersect the x and y axis of a graph, therefore either the x or y value of a coordinate point must be 0 in order for it to be an intercept.

After you find the intercept, plot the them on the cartesian coordinate system and draw a straight line (it’s a linear equation) going through the two intercepts.

Side note: Not sure how credentials work on Quora yet. I meant to say I am a student

The equation of the lines can be plotted on the graph after calculating the coordinates on each line.

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.

We have two linear equation:

x = 4y  

x + y = 7.0

To plot the linear equation first we will find the few coordinates to plot on the coordinate plane.

For the equation of line:

x = 4y

x 0 1 2 3 -1 -2 -3

y 0 4 8 12 -4 -8 -12

For the equation of line:

x + y = 7.0

x 0 1 2 3 -1 -2 -3

y 7 6 5 4 8 9 10

Thus, the equation of the lines can be plotted on the graph after calculating the coordinates on each line.

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Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

Answer:

We conclude that the population mean is equal to 490.

Step-by-step explanation:

We are given that a random sample of 15 observations is selected from a normal population. The sample mean was 495 and the sample standard deviation 9.

Let \(\mu\) = population mean.

So, Null Hypothesis, \(H_0\) : \(\mu\) = 490      {means that the population mean is equal to 490}

Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 490     {means that the population mean is different from 490}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

                               T.S.  =  \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\)  ~ \(t_1_4\)

where, \(\bar X\) = sample mean = 495

            s = sample standard deviation = 9

             n = sample of observations = 15

So, the test statistics =   \(\frac{495-490}{\frac{9}{\sqrt{15} } }\)  ~ \(t_1_4\)

                                     =  2.152

The value of t-test statistics is 2.152.

Now, at a 0.01 level of significance, the t table gives a critical value of -2.977 and 2.977 at 14 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as the test statistics will not fall in the rejection region.

Therefore, we conclude that the population mean is equal to 490.

Answer:

no one likes u

Step-by-step explanation:

Answer:

6.55

(6.55102040816)

Step-by-step explanation:

321 / 49 = 6.55102040816

can be rounded to 6.55 or 6.6

Answer:

6.55

Step-by-step explanation:

Answer:

21/100

Step-by-step explanation:

By looking at the table, we can find the box that has information on people who have dogs but do not walk. The number is 21. The total number of people is 100. To find probability, divide 21 by 100.

21/100

This fraction is in its simplest form and cannot be simplified any further.

Answer:

ccccccc.

Step-by-step explanation:

c.cccccccc.ccccccccccccccccccccc

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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Answer:

P'(C) = 0.98

Step-by-step explanation:

Given that,

P(C) = 0.02 (The probability of getting C)

We need to find the complement of P(C) i.e. P'(C).

We know that,

P(C)+P'(C)=1

P'(C) = 1-P(C)

= 1-0.02

= 0.98

So, the complement of P(C) is equal to 0.98.

Answer:

B.

Step-by-step explanation:

The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.

Answer: he will be 14

Step-by-step explanation:

Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))

Answer:

Step-by-step explanation:

3:7 = ___: 49

3 : 7 = x : 49

x = 3 × 49 ÷ 7

x = 147 ÷ 7

x = 21

3 : 7 = 21 : 49  (your answer)