Supervisor: "We are asking everyone to focus on reducing their average transaction
time by 10%. The average transaction time for this location is 6 minutes and 52
seconds."
Employee: "So we have to get the average transaction time down to
5 minutes, 52 seconds
6 minutes, 11 seconds
6 minutes, 18 seconds
6 minutes, 24 seconds
6 minutes, 32 seconds
NEXT >

The height and width of the outline (perimeter) of the mirror, as well as the

center in relation to the plane of the edges are given.

[tex]\displaystyle The \ mirror \ can \ be \ \mathbf{ represented} \ by \ the \ equation; \underline{\frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Reasons:

Width of the elliptical mirror = 20 inches

Height of the elliptical mirror = 24 inches

Center of the ellipse = (0, 60)

The equation of an ellipse is;  [tex]\displaystyle \mathbf{\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2}} = 1[/tex]

Where;

(h, k) = Coordinates of the center;

a = Semi major axis

b = Semi minor axis

In the mirror, we have;

(h, k) = (0, 60)

a = 24 ÷ 2 = 12

b = 20 ÷ 2 = 10

Which gives;

[tex]\displaystyle \frac{(x - 0)^2}{10^2} + \frac{(y - 60)^2}{12^2} = \frac{x ^2}{100} + \frac{(y - 60)^2}{144} = \mathbf{\frac{(y - 60)^2}{144} + \frac{x^2}{100}} = 1[/tex]

Therefore;

[tex]\displaystyle The \ equation \ that \ represent \ the \ mirror \ is; \underline{ \frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Learn more about the equation of an ellipse here:

https://brainly.com/question/1306753

Answer:

A. y<-3

Step-by-step explanation:

Answer:

X miles ( 35, 125, 265, 310)

m = 35 + 45x

755

Step-by-step explanation:

Hope this helps, btw have an awesome day

Answer:

The test statistic is 23

Step-by-step explanation:

Best way to understand this is to think of a sample and it's purpose;

You take a sample to get information that can be extrapolated to apply to the whole population;

So, for example, you have a factory making light bulbs, and you want to find out how long they last;

You would take a number of light bulbs from the production line, i.e. a sample, and test these;

It would be impossible to test every light bulb as this would take too long and there would be none left unused to sell, i.e. it would not be feasible or viable to do;

You would then find a mean of these times from the sample, and then extrapolate and assume it to be the duration of any light bulb coming off the production line;

The sample is the handful of light bulbs chosen to test;

The test statistic refers to the quantity or value, calculated from the sample data, this would be the mean light bulb duration in the light bulbs example;

Similar and yet different to a test statistic, a population parameter refers to a quantity or value calculated from population data;

A population refers to all members of a particular group of objects/items, so in the example, it would be all the light bulbs produced;

The population parameter would refer to the mean calculated based on data from the population (i.e. all the light bulbs produced);

Realistically, it is impossible to determine a population since it would be unviable in the practically all cases, as we can see in the example;

This value is almost always theoretical and would be assumed from a test statistic in any real scenario.

Answer:

Linear

Step-by-step explanation:

She is spending the same amount per day, so it is linear

Answer:

The graph that represents the situation is A

Step-by-step explanation:

Tan(48.9) = x/138

X = 138 x tan(48.9)

X = 158.2

=========================================================

Explanation:

If you know the cost function C(x), to find the marginal cost, we apply the derivative.

Marginal cost = derivative of cost function

Marginal cost = C ' (x)

Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.

[tex]\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\[/tex]

[tex]C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]

D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).

To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.

Therefore, we go from this

[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]

to this

[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\[/tex]

which is the final answer.

Answer:

Reflection across the x-axis

Step-by-step explanation:

Rule of thumb: If the figure is diagonal, it is x-axis, but if it is horizontal, it is the y-axis.

Answer:

The quotient of the equation is 400

Answer:

hi

Step-by-step explanation:

the correct answer is 400

Answer:

The total cost of the motorcycle was $5,565.

Step-by-step explanation:

Answer:

5.832

Step-by-step explanation:

You didn't provide any graphs.

Answer:

Step-by-step explanation:

12 x 3=36 yx

12x2x3= 72 x*y

Answer: The property of y x 0 = 0 is the Identity property.

Step-by-step explanation:

I hope this is what you were looking for, I apologize if I have been mistaken.

The company's expectation is $486.26.

Since the probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941, to determine, if an insurance company sells a one-year, $ 12,000 life insurance policy to such a person for $ 495, what is the company's expectation, the following calculation must be performed:

Therefore, the company's expectation is $486.26.

Learn more about maths in https://brainly.com/question/3554632

[tex]\huge \bf •Answer •\\ [/tex]

1188 g

[tex]\huge \bf •Solution •\\ [/tex]

We know,

[tex]\sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solution} \times 100= concentration \: \: of \: \: solution \\ = > \sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solute + mass \: \: of \: \: solvent} \times 100= concentration \: \: of \: \: solution[/tex]

Given, concentration of solution = 1%

Mass of sugar (solute) = 12 g

Let the mass of water (solvent) be x.

Therefore,

[tex]\sf \dfrac{12g}{12g + x} \times 100= 1 \\ \sf = > 1200g= 12g + x \\ \sf= > (1200 - 12)g = x \\ \sf = > x = 1188g[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Ratio:-

[tex]\\ \sf\longmapsto \dfrac{2}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{10}[/tex]

[tex]\\ \sf\longmapsto 1:10[/tex]

Answer:

12.6

Step-by-step explanation:

total weight of apples = 3+ 4.2

= 7.2 pounds

total money spent on apples = 1.75 × 7.2

= $12.6

Answer:

12.6

Step-by-step explanation:

he had 3 points of red apples and 4.2 pounds of green apple and 1.75 pounds so he spend 12.6

Given :-

To find :-

Solution :-

Let us assume the distance between A and B be x and the initial speed by y . After 20% increase in the speed , new speed will be ,

[tex]\blue{\dashrightarrow} [/tex] Speed = 120y/100

[tex]\blue{\dashrightarrow} [/tex] Speed = 6/5y

• According to the Question ,

[tex]\red{\dashrightarrow} [/tex] Distance = Speed * Time

[tex]\blue{\dashrightarrow} [/tex] x = y * 3 hrs

[tex]\red{\dashrightarrow} [/tex] x = 3y

And ,

[tex]\blue{\dashrightarrow} [/tex] t = Distance/Speed

[tex]\red{\dashrightarrow} [/tex] t = x ÷ (6y/5)

[tex]\blue{\dashrightarrow} [/tex] t = 5x/6y

[tex]\red{\dashrightarrow} [/tex] t = 5 (3y)/6y

[tex]\blue{\dashrightarrow} [/tex] t = 5/2 hrs

[tex]\red{\dashrightarrow} [/tex] t = 2.5 hrs

Hence now it will take 2.5 hrs to go from A to B .

Answer:

Step-by-step explanation:

Let's say the distance between A and B is 3 miles (3, because I see a need to divide the distance by 3 hours to determine the car's speed).  The actual distance makes no difference in the answer, since it is asking for a relative speed change (20%).

We find the speed to be 3 miles/3 hours, or 1 mph.  A 20% increase in speed would be (1.20)(1) = 1.20 mph.

We can find the time for a 1.2 mph car to go 3 miles by:

(3 miles)/(1.2 mph) = 2.5 hours

=====

[Note that if we assumed a different distance, say 6 miles, we'd get the same result:

6 miles/3 hours = 2 mph

1.2*2 = 2.4 mph

New time = 6/2.4 = 2.5 hours; same as before]

Answer:

John can type 53 words per minute

Step-by-step explanation:

You would divide 265 by 5 to get the result of 53.

Answer: John types 53 words a minute

Step-by-step explanation:

1 We know he types 265 words in 5 minutes

2 DIvide 265 by 5 to get one minute

3 the answer is 53, so he types 53 WPM

Answer:

12

Step-by-step explanation:

You do 6+6, or 2+2+2+2+2+2=12

Answer:

1.is a function

2. is a function

3. is a function

4. is not a function

Step-by-step explanation:

Answer:

hope it helps.

stay safe healthy and happy.

Answer:

In bold below.

Step-by-step explanation:

bf-5k=c(g+2k)

g + 2k = (bf - 5k)/c

g =  (bf - 5k)/c - 2k

Answer:

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Remember that y=mx+b:

1) y = -3x+7

2) y = 1/4x-5