Write a function rule for the statement.

The output is the cube of the input .


Y= _

The distance traveled by the car before it comes to a stop can be found by using the formula for distance traveled under constant acceleration:

\(d = v_0t + (1/2)at^2\)

where d is the distance traveled, v0 is the initial velocity, a is the acceleration, and t is the time.

We are given that \(v_0 = 20 m/s\) and \(a = -30/t + 20 m/s^2\). We need to find the time t when the car comes to a stop, which is when the final velocity is 0.

Using the formula for final velocity under constant acceleration:

\(v_f = v_0 + at\)

We can set vf = 0 and solve for t:

\(0 = 20 + (-30/t + 20)t \\0 = 20t - 30 + 20t \\30 = 40t \\t = 30/40 = 0.75 s\)

Now we can plug this value of t back into the formula for distance traveled to find the distance traveled before the car comes to a stop:

\(d = (20)(0.75) + (1/2)(-30/0.75 + 20)(0.75)^2\\ d = 15 + (1/2)(-40 + 20)(0.5625)\\ d = 15 + (1/2)(-20)(0.5625) \\d = 15 - 5.625\\ d = 9.375 m\)

Therefore, the distance traveled before the car comes to a stop is 9.375 m.

For more about Distance traveled:

https://brainly.com/question/29055485

#SPJ11

Answer:

35 dogs

Step-by-step explanation:

DOG:CAT = DOG:CAT

49:28 = x:20

7:4 = x:20

x = 35

The number of degrees of freedom for the numerator is = 9

The number of degrees of freedom for the denominator is = 3

A numerator is the part of a fraction above the line, which signifies the number to be divided by another number below the line.

a denominator can be defined as the bottom number in a fraction that shows the number of equal parts an item is divided into. It is the divisor of a fraction.

Given that an F-curve has df (9,3).

To find number of degrees of freedom for the numerator and denominator

In an F distribution, the numerator degrees of freedom is represented by the first number, while the denominator degrees of freedom is represented by the second number.

So in this case, df (9,3) means 9 degrees of freedom for the numerator and 3 degrees of freedom for the denominator.

for such more question on numerator and denominator

https://brainly.com/question/20712359

#SPJ11

Answer:

a. five, twelve, thirteen

Answer:

\(10x - 7x + 3 \)

\( = 3x + 3\)

The answer is C. 3x + 3

The snail will take approximately 0.43 hours or 25.8 minutes to travel 12 feet at the speed of 8.5 meters per hour.

Given, A snail moves at a speed of 8.5 meters per hour, 1m = 3.28ft. Let's convert meters per hour into feet per hour by multiplying it with 3.28ft/m. So, 8.5 meters per hour = 8.5 × 3.28 feet per hour ≈ 27.88 feet per hour.

Now, to calculate the time taken by a snail to travel 12 feet, we can use the formula: Time = Distance ÷ Speed

Time taken = 12 feet ÷ 27.88 feet per hour ≈ 0.43 hours (rounded to two decimal places)

Now, let's convert 0.43 hours to minutes by multiplying it with 60 minutes per hour: 0.43 hours × 60 minutes per hour ≈ 25.8 minutes (rounded to one decimal place). Therefore, it will take approximately 0.43 hours or 25.8 minutes for the snail to travel 12 feet at the speed of 8.5 meters per hour.

To know more about speed refer here:

https://brainly.com/question/31052185#

#SPJ11

To be categorized as unemployed, a person has to be without a process, presently available to work, and actively seeking out work within the previous 4 weeks.

Unemployment is a time period regarding people who are employable and actively looking for a process but are not able to discover a process. blanketed in this institution are the ones people in the group of workers who are working but no longer have the precise job.

The situation of now not having a task but being a member of the labor pressure. To be considered unemployed, someone must be jobless but actively trying to find a task by having searched within the last 4 weeks.

Hence, To be categorized as unemployed, a person has to be without a process, presently available to work, and actively seeking out work within the previous 4 weeks.

Learn more about Unemployment here:

brainly.com/question/13280244

#SPJ1

complete question:

how do economists define unemployed workers? group of answer choices although currently working, they are not happy with their current job working on contract for a limited time not currently working not currently working but actively searching for work

Answer:

100 minutes for 40 dollars

Step-by-step explanation:

Call U Now

15+ .25 m

The Pacific Bell Company

25 +.15m

We want them to have the same cost so set them equal

15+ .25m=25 +.15m

Subtract .15m from each side

15+ .25m - .15m=25 +.15m- .15m

15 + .1m = 25

Subtract 15 from each side

15 + .1m = 25

15-15 +.1m = 25-15

.1m = 10

Divide each side by .1

.1m/.1 = 10/.1

m =100

The cost will be

15+.25m

15 +.25(100)

15 + 25

40

Answer:

$100.5000

Step-by-step explanation:

becuse $9,500 is fived and it got it

There are 55 adults and 27 younglings attended the club.

let the number of adults attended the club be x

let the number of younglings  attended the club be y

total people attended the club = 82

so,

x + y = 82.....[1]

cost for the adult = $6

cost for the younglings = $4

so total amount collected = $438

so, equation formed is ,

6x + 4y = 438.......[2]

from equation [1]

x + y = 82

x = 82 - y

put this in equation [2]

6(82 - y) + 4y = 438

492 - 6y + 4y = 438

492 - 2y = 438

492 - 438 = 2y

2y = 54

y = 27

put this value in equation [1]

x + y = 82

x + 27 = 82

x = 82 - 27

x = 55

so, there are 55 adults and 27 younglings attended the club.

Learn more about equation here :-

https://brainly.com/question/10413253

#SPJ4

To put the equations 5x - 9 = y and 2x = 7y in matrix form, we can write them as a system of equations by rearranging the terms. The matrix form can be represented as:

| 5  -1 |   | x |   | -9 |

| 2   -7 | * | y | = |  0 |

In matrix form, a system of linear equations can be represented as AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.

For the equation 5x - 9 = y, we can rearrange it as 5x - y = 9. This equation corresponds to the row [5 -1]X = [-9] in the matrix form.

For the equation 2x = 7y, we can rearrange it as 2x - 7y = 0. This equation corresponds to the row [2 -7]X = [0] in the matrix form.

Combining these two equations, we can write the system of equations in matrix form as:

| 5  -1 |   | x |   | -9 |

| 2   -7 | * | y | = |  0 |

This matrix form allows us to solve the system of equations using various methods, such as Gaussian elimination or matrix inversion.

Learn more about equations

brainly.com/question/29657983

#SPJ11

Answer:

Part A:

You are given the amount of money Madison can spend and the price per pound for the potatoes. To find how many pounds Madison can buy, you would need to divide the amount of money she has by the price per pound.

The equation would be Pounds of potatoes = 6.50 / 0.50

Part B:

The only step required to solve the equation from part A is division.

Dividing 6.50 by 0.50 = 13. This means Madison can buy 13 pounds of potatoes.

The steps to evaluate an exponential expression include:

First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.

Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.

Find out more on exponential expressions at https://brainly.com/question/5085217

#SPJ1

The surface area of the part of the cone z = sqrt(x^2 + y^2) that lies between the plane y = x and the cylinder y = x^2 is sqrt(2)/6.

To find the surface area of the part of the cone z = sqrt(x^2 + y^2) that lies between the plane y = x and the cylinder y = x^2, we can use a double integral to integrate the surface area element dS over the region of interest.

First, we need to parameterize the surface in terms of two variables (u, v) such that the surface is defined by x = f(u,v), y = g(u,v), and z = h(u,v). We can use cylindrical coordinates, with x = r cos(theta), y = r sin(theta), and z = sqrt(x^2 + y^2) = r. Then, the cone is given by r = h(u,v) = u, and the region bounded by y = x and y = x^2 is given by u^2 <= v <= u.

Next, we need to compute the partial derivatives of f, g, and h with respect to u and v:

f_u = cos(theta)

f_v = -u sin(theta)

g_u = sin(theta)

g_v = u cos(theta)

h_u = 1

h_v = 0

Then, the surface area element dS can be computed using the formula:

dS = sqrt(1 + (h_u)^2 + (h_v)^2) du dv

Substituting in the partial derivatives and simplifying, we get:

dS = sqrt(2) du dv

Finally, we can set up the double integral over the region of interest and integrate dS:

surface area = ∫∫ dS = ∫[0,1]∫[u^2,u] sqrt(2) dv du

Evaluating this integral using the limits of integration gives us:

surface area = ∫[0,1] sqrt(2) (u - u^2) du

= sqrt(2) (1/2 - 1/3)

= sqrt(2)/6

Therefore, the surface area of the part of the cone z = sqrt(x^2 + y^2) that lies between the plane y = x and the cylinder y = x^2 is sqrt(2)/6.

Learn more about surface area here:

https://brainly.com/question/29298005

#SPJ11

$12.25

                                                                   you welcome that the answer

Answer:

11.25$

Step-by-step explanation:

19.00 - 7.75 = 11.25

Uhm, there is no question for me to answer.

Analysis of variance (ANOVA) is a statistical method of comparing the means of several populations.

ANOVA is used when there are three or more groups or populations that need to be compared. It determines whether there are any statistically significant differences among the means of these groups. The method analyzes the variation within each group as well as the variation between the groups to assess whether the differences observed are due to random chance or if there are true differences in the population means.

The primary goal of ANOVA is to test the null hypothesis that the population means are equal across all groups. If the null hypothesis is rejected, it indicates that at least one group significantly differs from the others.

Learn more about ANOVA here:

https://brainly.com/question/31809956

#SPJ11

The appropriate order for the given calculations would be (b) Calculate the (vector) forces acting on the objects, (c) Update the (vector) momentum of each object, and (a) Update the (vector) position of each object.

First, we need to calculate the (vector) forces acting on the objects. This involves considering factors such as the mass of each object, their positions, and any other relevant forces such as gravitational force (if applicable) determined by constants like G. By calculating the forces, we can determine the interactions and influences between the objects.

Once the forces acting on the objects are calculated, we can proceed to update the (vector) momentum of each object. The momentum is updated based on the forces acting on the object and the time step, which determines the change in momentum over a given period. This step takes into account the initial momentum and the forces acting on each object.

Finally, after updating the momentum, we can update the (vector) position of each object. This involves using the updated momentum, the initial position of each object, and the time step to determine the new position of the objects in the next time interval. This step ensures that the objects move and change their positions according to the forces and momentum they experience.

Therefore, the appropriate order for the given calculations is (b) Calculate the (vector) forces acting on the objects, (c) Update the (vector) momentum of each object, and (a) Update the (vector) position of each object.

to learn more about calculations click here:

brainly.com/question/29678854

#SPJ11

Answer:

30

Step-by-step explanation:

Given the radical values;

√1000

= √100 * √10

= 10√10

= 10 (3.1623)

= 31.623

Converting to nearest 10,

= 30

Hence the value to the nearest 10 is 30

Answer:

  17, 34, 31

Step-by-step explanation:

You want three numbers that have a sum of 82 such that the second number is double the first, and the third number is three less than the second.

Let x represent the second number. This is double the first number, so the first number is x/2. The third number is 3 less than the second, so is (x-3). Their sum is ...

  (x/2) +x +(x-3) = 82

Collecting terms, we have ...

  5/2x -3 = 82

  5/2x = 85 . . . . . add 3

  x = (2/5)(85) = 34 . . . . multiply by 2/5

  x/2 = 34/2 = 17

  x -3 = 34 -3 = 31

The three numbers are 17, 34, 31.

Based on the analyzed data from more than 5,000 adults, researchers found that the more diet sodas a person drank, the greater the person's weight gain.

But it is not true that drinking diet soda causes weight gain.

The causal link between drinking diet soda and weight gain is not established. People who drink diet soda may be consuming more calories and sugars from other sources or may be leading an unhealthy lifestyle that results in weight gain.

the artificial sweeteners used in diet soda may interfere with the body's natural ability to regulate calorie intake, leading to increased cravings for high-calorie foods and, ultimately, weight gain. However, more research is needed to understand the impact of artificial sweeteners on weight gain fully.

Therefore, it can be concluded that drinking diet soda does not directly cause weight gain. Instead, a healthy lifestyle and balance between calorie intake and energy expenditure is necessary to maintain a healthy weight.

To learn more about diet soda, visit here

brainly.com/question/6076834

#SPJ11

Answer:Eggs =100−4=96 eggs

Cp of 96 eggs → Rs. 40Cp of 1 egg → Rs. 9640​=0.416Sp of 12 eggs →7.50 Rs.Sp of 1 egg →127.50​=0.625

Profit % =CpSp−Cp​×100=0.4160.625−0.416​×100=50.24%.

Hope it helped :]

Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

250

250 is in-between 200 nd 300

Answer: The answer is 38%

Answer:

5, 6, 7 and 8

Step-by-step explanation:

3(x+2) ≤ 30

(x+2) ≤ 10

x ≤ 8

4x+3 > 21

4x > 18

x > 4.5

Therefore 4.5 < x ≤ 8, round 4.5 to nearest interger

Answer:there were 100 adults  and 350 children tickets sold .

Step-by-step explanation:

Step 1

let number of adult tickets sold be represented as  x

and that of children be  y

such that the total number of adult and children who attended the center will be expressed as

x+ y = 450------equation 1

 and the total cost of tickets sold can be expressed as

4x+ 1.50 y= 925,...equation 2

Step 2--Solving

x+ y = 450------eqn1

4x+ 1.50 y= 925,...eqn 2

 By elimination method , Multiply equation 1  by 4 and subtract equation 2 from  the new equation  formed

4x+ 4y= 1800 ----- eqn 3

-4x+ 1.50 y= 925 eqn 2

2.5y=875

y= 875/2.5

y=350

to fnd x

x+ y= 450

x= 450- 350

x= 100

Therefore there were 100 adults  and 350 children tickets sold .

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

Learn more about Triangle

https://brainly.com/question/17335144

#SPJ1

Proportions

All of the ingredients are given in amounts enough to make 3 dozen cookies. But we want to know how much of them are required to make 4 dozen cookies.

Following the proportions rules, if we want 4 and have 3, the adjustment must be 4 / 3, or four thirds.

For example, if you use 6 eggs for 3 dozen cookies, you now need 6*4/3=8 eggs.

This proportion will be applied to all of the ingredients as follows.

We needed 1 and 3/4 cups of vegetable oil. Expressing that as a single fraction:

The new amount of vegetable oil will be:

We now need 2 and 1/3 cups of vegetable oil.

It's required to use 2 and 1/4 teaspoons of almond extract. Expressing as a single fraction:

The new amount of almond extract is:

Now we need exactly 3 teaspoons of almond extract.

Finally, the recipe required 2 and 1/2 teaspoons of cinnamon. The equivalent fraction is:

This means the new amount of cinnamon is:

We now need 3 and 1/3 teaspoons of cinnamon.

Summarizing, for 4 dozen cookies we need:

2 and 1/3 cups of vegetable oil

3 teaspoons of almond extract

3 and 1/3 teaspoons of cinnamon