An airplane on autopilot took 9 hours to travel 6,471 kilometers. What is the unit rate for kilometers per hour?

Answer: [tex]y=4x^3[/tex]

Step-by-step explanation:

See attached image.

The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The parent function is,

⇒ y = x³

Now, After vertically stretched by a factor of 4 we get;

The value of function is,

⇒ y = 4x³

Hence, The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ5

The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.

In mathematics, probability is considered as the chances a specific situation or event occurs. For example, you can calculate the probability that it rains tomorrow based on general weather patterns.

Now, let's multiply these probabilities:

This means the  probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.

Note: This question is incomplete; here is the missing section:

Learn more about probability in: https://brainly.com/question/11234923

#SPJ1

The value of p(cc and tc) is 0.1173

The distribution of the replies is 0.12, as shown by the two-way table.

We've done that.

520 randomly chosen individuals from the teen, young adult, and adult age groups were asked about their preferred musical genres by the researcher.

The distribution of the answers is shown in the two-way table.

There are 61 teenagers in the country.

seeing as how this is only one of 520,

The probability formula?

P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).

61/520=0.1173

We calculate 0.1173 by dividing 61 by 520 and rounding to the next hundredth to obtain 0.12.

Thus the value of p(cc and tc) is 0.1173.

Learn more about profit and loss here :

https://brainly.com/question/25698647

#SPJ4

To get 14 liters of antifreeze solution, add 14 - x liters of the solution

From the question, we are to determine how many liters should be added to the solution

From the given information,

We are to get 14 liters of antifreeze solution,

and

we already have x liters of the solution

To get 14 liters of antifreeze solution, we will add 14 - x liters of the solution

Hence, to get 14 liters of antifreeze solution, add 14 - x liters of the solution

Learn more on Volume here: https://brainly.com/question/13407338

#SPJ1

The margin of error is calculated using the formula, C. ME = z × s / √n.

The formula for finding the margin of error is given as: ME = z × s / √n, where we have the following:

ME = margin of error

z = z-score

s = population standard deviation

n = sample size

The margin of error is used to determine amount of error in a random sampling.

Thus, the formula is: C. ME = z × s / √n.

Learn more about the margin of error on:

https://brainly.com/question/15691460

#SPJ1

Answer:

look the answer is in the picture and don't forget to like and brainlest

The true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.

Parabolas are examples of a conic section such that it is formed by the intersection of a cone with a plane parallel to its side.

From the question, the given parameters are:

Vertex = (0,0)

Focus = Negative side of the y-axis

A parabola has quite a number of forms, one of these forms is the general form.

The general form is represented as:

(x - h)^2 = 4p(y - k)

The vertex of the parabola is

(h, k) = (0, 0).

So, we have:

(x - 0)^2 = 4p(y - 0)

Evaluate the difference

x^2 = 4py

Since the focus is on the negative side, the value of p will be negative.

Also, because the vertex is at the origin, the directrix of the parabola will cross through the positive part of the y-axis.

This means that the true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.

Read more about parabola at:

https://brainly.com/question/4061870

#SPJ1

Complete question

A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. Which statements about the parabola are true?

Check all that apply.

The directrix will cross through the positive part of the y-axis.

The equation of the parabola will be in the form y2 = 4px where the value of p is negative.

The equation of the parabola will be in the form x2 = 4py where the value of p is positive.

The equation of the parabola could be y2 = 4x.

The equation of the parabola could be x2 = y.

The new cost of the dress on sale given the original price is $122

New cost = 61% of original price

= 61/100 × $200

= 0.61 × 200

New cost = $122

Therefore, the new cost of the dress is $122

Learn more about percentage:

https://brainly.com/question/843074

#SPJ1

The corporation's margin of safety is 0.73.

Margin of safety is the amount of sales a company makes in excess of the breakeven point.

Margin of safety = (forecasted sales -  break-even sales) / forecasted sales

Break even sales = fixed cost / (price per unit - variable cost)

12,147,000 / (3500 - 1680) = 6,674.18

Margin of safety = (24,600 - 6,674.18) / 24,600 = 0.73

To learn more about margin of safety, please check: https://brainly.com/question/24308153

#SPJ1

Answer: 1.7

Step-by-step explanation:

The rate of gallons per hour is the same as the unit rate. You want to find out how many gallons are filled in one hour, so divide 3 down to one, 3 divided by 3 is one. Then, also divide 5 by 3. 5 divided by 3 is 1.6666... and as an hour is out of 60, round it to 1.7.

I hope this helps!

based on the given exponential functions, we can tell that C. Both functions are increasing, but function g increases at a faster average rate.

function g is represented by the model:
g(x) = -18 x (1/3)^x + 2

g(x)=-18(1/3)^x In(1/3)

In1/3 < 0

this means that:

g (x) > 0

for any interval, g(x) > f(x)

this means that g is increasing at a faster rate than f which is increasing as shown by the table given in the question.

find out more on exponential functions at https://brainly.com/question/2456547.

#SPJ1

Answer:

??

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

The line that contains angle x and the 90° angle is a straight line.

A straight line measures as 180°.

So, subtracting the given 90° from the 180° line that the two angles share, we would get the measure of x.

[tex]180-90 =x[/tex]

Which means, [tex]x=90[/tex].

So the value of x is 90°.

The unknown value in the table using the constant of proportionality is; 96

The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant.

We are given the coordinates;

(12, 42), (18, 63), (40, y)

where x-values represents time in seconds and y-values represents number of pencils that were produced.

To find the constant of proportionality is as good as finding the slope between two consecutive points as;

m = (63 - 18)/(42 - 12)

m = (45/30)

m = 1.5

Thus to find the unknown value y, we will use the formula;

(y - y1)/x - x1) = m

So we will use the coordinates; (18, 63), (40, y)

Plugging them into the formula above will result in;

(y - 63)/(40 - 18) = 1.5

y - 63 = 1.5 * 22

y - 63 = 33

y = 33 + 63

y = 96

Thus, we can conclude that using the constant of proportionality, the number of pencils that were produced after a time of 40 seconds is 96 pencils.

Read more about constant of proportionality at; https://brainly.com/question/1835116

#SPJ1

You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point.

The "slope formula" for a straight line connecting any two locations is another name for the rise over run formula. The rise is the difference between the y-coordinates of the two locations. The run is the difference between the x-coordinates of two locations. Divide the rise by the run to find the slope.

The rise over run formula is also known as the slope formula because the fraction consists of a rise, whether the line is moving up or down, divided by the run, which can be either left or right. The slope of the line dictates the direction of the line as well as its steepness.

Thus, "You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point".

Learn more about the run at

https://brainly.com/question/8460441

#SPJ4

8/25 is the probability that more than 8 of them are strikes.

Lets simplify the problem,

We are given that a softball pitcher has a 0.507 probability of throwing a strike for each pitch. Also, the softball pitcher throws 15 pitches.

The above situation can be represented through Binomial distribution;

P(X = r) = 0,1,2,3,,.....

where, n = number of trials (samples) taken = 15 pitches

           r = number of success = more than 8

          p = probability of success which in our question is probability of    

                Throwing a strike for each pitch = 0.507

LET X = Number of strikes

So, it means X ~ n = 15, p = 0.507

So, Probability that more than 8 of them are strikes = P(X > 8)

P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

After putting the values in it we get,

P = 0.323

P= 8/25 approx

8/25 is the probability that more than 8 of them are strikes.

Learn more about Probability on:

https://brainly.com/question/13604758

#SPJ4

Answer:

Step-by-step explanation:

8+6=14

14/30 = 7/15

So the final answer is 7/15

pls thank me pls :(

Answer:

1:216

Step-by-step explanation:

The probability of getting a 4 would be 1/6.  The probability of getting a 5 would be 1/6 and the probability of getting a 6 would be 1/6.  The bottom number is the total number of outcomes (1,2,3,4,5,6) and the top number is out of that set, how many do I want.  In the case of wanting a 4, I want 1 out of those 6 numbers and so on.

Now we multiple these together 1/6 x 1/6 x 1/6 and get  1/216 or another way to write this is 1:216

The function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)

The equation is given as:

f(x) = 2(0.35)^x

The reflection of a function over the y-axis is :

f'(x) = f(-x)

So, we have:

f(-x) = 2(0.35)^(-x)

From the list of options, we have

h(x) = 2(0.35)^(-x)

Hence, the function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)

Read more about reflection at:

https://brainly.com/question/12040866

#SPJ1

The missing number for the subtraction of matrices is 4.

The subtraction of two matrices of the same size is really direct. You just need to subtract the elements that are in the same position, then:

[tex]A = \left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\end{array}\right] \\\\B = \left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\end{array}\right]\\\\A - B = \left[\begin{array}{ccc}a_{11} - b_{11}&a_{12}-b_{12}\\a_{21} - b_{21}&a_{22}-b_{22}\end{array}\right][/tex]

Then the missing therm will just be equal to the difference between the last two elements of each matrix:

-2 - (-6) = -2 + 6 = 4

The missing number is 4.

If you want to learn more about matrices:

https://brainly.com/question/11989522

#SPJ1

Answer:

64

Step-by-step explanation:

2x-4y=3

x= (3 +4y)/2

substitute into the main equation

y= 0

x= 3/2

16^x /256^y

16^3/2 ÷ 256^0

√16^3 ÷1

= 64

Answer:

64

Step-by-step explanation:

2x - 4y = 3

2x = 4y + 3

x = 2y + 1.5

[tex] \dfrac{16^x}{256^y} = [/tex]

[tex] = \dfrac{16^{2y + 1.5}}{256^y} [/tex]

[tex] = \dfrac{16^{2y + 1.5}}{16^{2y}} [/tex]

[tex] = 16^{2y + 1.5 - 2y} [/tex]

[tex] = 16^\frac{3}{2} [/tex]

[tex] = 4^3 [/tex]

[tex] = 64 [/tex]

Answer:

Using translation concepts, it is found that the transformation used to create this frieze pattern is a 180º rotation.

Step-by-step explanation:

None of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

The equation of the function is given as:

f(x) = - |x + 3|

The points are given as:

(0, 3) and (-3, -6)

When x = 0, we have:

f(0) = - |0 + 3|

f(0) = -3 --- different y value from (0, 3)

When x = -3, we have:

f(-3) = - |-3 + 3|

f(-3) = 0 --- different y value from (-3, -6)

This means that the x values point to different y values (this does not represent a function)

Hence, none of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

Read more about functions and relations at:

https://brainly.com/question/2328150

#SPJ1

Answer:

See below

Step-by-step explanation:

I am not sure about number 22.  I think that they are asking you to apply the same rules to the point (4, -7), if that is what they mean, the answer is (8,10)

The largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5

From the given information, we have 52 people in the room

Note that there are 12 months in a year

Let's divide the number by people by the months of the year

⇒ [tex]\frac{52}{12}[/tex]

⇒ 4 remaining 4

If 48 people are evenly distributed over twelve months, then there will be four people born in each month.

The remaining four people can be placed each in any of the twelve different months.

Hence, if 52 people are evenly distributed as possible, there will be eight months with four people and four months with five people.

Thus, the largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5

Learn more about word problems here:

https://brainly.com/question/836348

#SPJ1

The slant height of the hexagonal pyramid is: B. 14 inches.

Area of a regular hexagon = 3√3/2(s²)

First, find the area of the regular hexagon:

Area = 3√3/2(s²) = 3√3/2(10²) = 150√3 in.².

Surface area is given as 420 + 150√3 in.².

Area of the 6 triangles = surface area - area of hexagonal base = 420 + 150√3 - 150√3

Area of the 6 triangles = 420 in.²

Area of 1 triangle = 420/6 = 70 in.²

Use the area of a triangle to find the slant height (h):

70 = 1/2(10)(h)

2(70) = 10(h)

140/20 = h

h = 14 in.

The answer is B. 14 inches.

Learn more about the area of regular hexagon on:

https://brainly.com/question/2919364

#SPJ1

Using proportions, it is found that 66 men can leave so there will still be enough food.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the situation described, the rule of three is given as follows:

4200 men - 32 days - 12 hectogram per person.

x men - 42 days - 16 hectogram per person.

Considering that the amount per person and the number of people is inverse proportional, we have that:

[tex]\frac{4200}{x} = \frac{32}{42} \times \frac{16}{12}[/tex]

[tex]\frac{4200}{x} = \frac{512}{504}[/tex]

Applying cross multiplication:

512x = 504 x 4200

x = 504 x 4200/512

x = 4134.

The amount of men that can leave is:

4200 - 4134 = 66.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1