enola wants to ride her bicycle 23.8 miles this week. she has already ridden 11 miles. if she rides for 4 more days, write and solve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.

The volume of the cone is 619.1 metres cube.

The volume of the cone can be found as follows:

The height of the cone is 14 metres and the radius of the cone is 6.5 metres.

Therefore,

volume of a cone = 1 / 3 πr²h

where

Hence,

r = 6.5 metres

h = 14 metres

volume of the cone = 1 / 3 × 3.14 × 6.5² × 14

volume of the cone = 1857.31 / 3

volume of the cone = 619.103333333

volume of the cone = 619.1 metres cube

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Given the data set of the number of miles that Monica walked each day, the summary is :

First sort the numbers into ascending order:

3. 2, 3. 8, 4. 1, 4. 2, 4. 7, 5, 5. 8

Min is smallest value in the data set.

Min = 3.2

Max is the largest value in the data set.

Max = 5.8

The median is the middle number which we can see to be 4. 2 .

The Q1 is the first quartile which would be:

lower half is 3.2, 3.8, and 4.1 = 3 . 8

The Q3 is the third quartile and would be the upper half is 4.7, 5, and 5.8. Q3 = 5

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b. After two years: $18,490.

After ten years: $8,160.51.

c. Approximately 2.7 years.

d. Approximately 7.6 years.

e. No, the car's value will never reach $0.

We have,

b.

To find the car's value after two years, we can use the same constant ratio.

Let's call this ratio "r."

From the given information, we know that the car's value after one year is $21,500, and the initial value is $25,000.

So, we can set up the equation:

$21,500 = $25,000 x r

Solving for r:

r = $21,500 / $25,000

r = 0.86

Now, to find the car's value after two years, we can multiply the value after one year by the constant ratio:

Value after two years = $21,500 x 0.86 = $18,490

Similarly, to find the car's value after ten years, we can keep multiplying the value after each year by the constant ratio:

Value after ten years = $21,500 x \(0.86^{10}\) ≈ $8,160.51

c.

To find when the car's value is half of its original value, we need to solve the equation:

Value after t years = $25,000 / 2

Using the exponential decay formula:

$25,000 x \(r^t\) = $12,500

Substituting the value of r we found earlier (r = 0.86):

$25,000 x \(0.86^t\) = $12,500

Solving for t will give us the approximate time when the car's value is half of its original value.

d.

To find when the car's value is one-quarter of its original value, we solve the equation:

Value after t years = $25,000 / 4

Using the exponential decay formula:

$25,000 x \(0.86^t\) = $6,250

Solving for t will give us the approximate time when the car's value is one-quarter of its original value.

e.

No, the car's value will never reach $0.

As the car's value decreases exponentially, it will approach but never actually reach $0.

Thus,

b. After two years: $18,490.

After ten years: $8,160.51.

c. Approximately 2.7 years.

d. Approximately 7.6 years.

e. No, the car's value will never reach $0.

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Complete Question

Jack climbed a beanstalk with 256 leaves. The Giant's beanstalk has only 20 more than 1 / 4 the amount of leaves than Jack's beanstalk. How many leaves does the Giant's beanstalk have?

Answer:

84 leaves

Step-by-step explanation:

Lets represent Jack's beanstalk = J

Giant's bean stalk = G

The Giant`s beanstalk has only 20 more than 1 / 4 the amount of leaves than Jack`s beanstalk

Giant's bean stalk = 20 + (1/4 × J)

= 20 + (1/4 × 256)

= 20 + 64

= 84

Therefore, the Giant's bean stalk has 84 leaves

Answer:

21.c

22.b

23.c

Step-by-step explanation:

4x - 5y = -9

-4x + y = -7

Step 1

Eliminate variable x

Different sign eliminate x and add.

-5y + y = -9 + (-7)

- 4y = -9 - 7

- 4y = -16

y = -16/-4

y = 4

Step 2

Substitute y in any equation and find x.

-4x + y = -7

-4x + 4 = -7

-4x = -7 - 4

-4x = -11

x = -11/-4

x = 11/4

X = 11/4 Y = 4

Note that the number of cars required for George and Marian to make a monthly profit of at least $8,000 is 2,467 cars.

Assume that they need to wash "x" cars to make a monthly profit of $8,000.

Their total revenue (TR) from washing "x" cars would be 6x dollars

Thus, their total profit = Revenue - Operating Costs

Profit = 6x - 6,800

We want to find the value of "x" that makes the profit at least $8,000, so we set up the inequality so....

6x - 6,800 ≥ 8,000

Adding 6,800 to both sides of the inequality, we get

6x ≥ 14,800

x ≥ 2,467

so , they need to wash at least 2,467 cars to make a monthly profit of at least $8,000.

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The mean, variance, and standard deviation are 1, 8,33 and 2.89

The distribution is given as:

[a, b] = [-4, 6]

The mean is calculated as;

Mean = (a + b)/2

So, we have

Mean = (-4 + 6)/2

Evaluate

Mean = 1

The variance is calculated as;

Var = (b - a)^2/12

So, we have

Var = (6 + 4)^2/12

Evaluate

Var  = 8.33

The standard deviation is calculated as;

SD= sqrt(Var)

So, we have

SD = sqrt(8.33)

Evaluate

SD = 2.89

Hence, the mean, variance, and standard deviation are 1, 8,33 and 2.89

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Answer:

x=3

Step-by-step explanation:

2/3x+15=17

first subtract 15 from both sides

2/3x=2

multiply by 3 to eliminate the fraction

2x=6

divide by 3

x=3

Answer:

x=3

Step-by-step explanation:

2/3x +15 = 17

2/3x = 17-15

2/3x = 2

x = 2  /  2/3

x = 2/1  *  3/2

x = 6/2

x = 3

There are two ways to find the remainder when a polynomial in x is divided by a binomial of the form x-r, the use of synthetic division or calculate P(r).

Synthetic division

The Synthetic division is a shortcut way of polynomial division, especially if we need to divide it by a linear factor. It is generally used to find out the zeroes or roots of polynomials and not for the division of factors.

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

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The problem at hand is to find the amount of work required to pump gasoline out of an underground tank. The density of gasoline is given as 673 kg/m³ and g is given as 9.8 m/s².Work is defined as the product of force and distance moved in the direction of the force.

Hence, the amount of work required to pump gasoline out of the underground tank is given by the product of force and distance.Force = Weight = mass × gravity = density × volume × gravity = 673 × V × 9.8 Joule/metreVolume of gasoline is not given, but let us assume the volume to be V.

The amount of work required to pump the gasoline out of the tank is equal to the force exerted on the gasoline times the distance over which the gasoline is lifted from the tank.Work = Force × DistanceLet us assume the distance to be 10 metres.Work = Force × Distance= 673 × V × 9.8 × 10 joule= 65,812V jouleHence, the total amount of work needed to pump the gasoline out of the tank is 65,812V joule.

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Answer: $307.80

Step-by-step explanation:

First do 32-14 to get that Naveed worked 18 hours on the weekdays and 14 on the weekends.  Then do 8.70*18=$156.60.  Then do 10.80*14=$151.20.  Then do 156.60+151.20=$307.80

Answer:

12.5 leters

Step-by-step explanation:

If you take the 4 liters she used to cover 50 doors,

Answer:

0.08 litres or 80ml

Step-by-step explanation:

4 litres for 50 doors, so 4 divided 50. And you got how many litres of paint that is needed for 1 door.

Answer:

B. 63°

Step-by-step explanation:

The distance around a circle is 360°

This means that 297° + n = 360°

Equation:

297 + n = 360

We can find the value of n by subtracting:

297 + n = 360

-297        -297

n = 63

Therefore, the value of n is 63 degrees.

Only one of the following functions is a solution of the differential equation y′′−9y′+18y=0.

The second-order homogeneous linear differential equation is given as:y'' - 9y' + 18y = 0This differential equation is a linear homogeneous equation. We will have two roots of the characteristic equation: r1 = 3, r2 = 6So, the general solution to the differential equation is given as:y = c1e3x + c2e6xwhere c1 and c2 are arbitrary constants.a. y(x) = e6x is a solution because it is a part of the general solution of the differential equation.y(x) = e−x, y(x) = 0, y(x) = 6x, y(x) = 3x, y(x) = ex are not solutions because they don't satisfy the differential equation. Hence, the correct options are:a. y(x) = e6xTherefore, only one of the following functions is a solution of the differential equation y′′−9y′+18y=0.

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Answer:

2+2+28+28=60 is the answer of the perimeter

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The length of the rectangle can be 19 cm, while its width will be 17 cm.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the length of the rectangle be represented by x centimeters. Given the width of a rectangle is 2 cm less than the length. Therefore, the width of the rectangle is (x-2) centimeters.

Since the perimeter of the rectangle should be greater than 28 inches, therefore,

Perimeter of the rectangle > 28 inches × 2.54 = 71.12 centimeters

Now, given the perimeter is greater than 28 inches. Therefore,

2[x+(x-2)] > 71.12

x + (x-2) > 35.56

x + x - 2 > 35.56

2x - 2 > 35.56

2x > 37.56

x > 18.78

x = 19

Thus, the length of the rectangle can be 19 cm, while its width will be 17 cms.

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The given statement "if the total change of a function f along a curve c is zero, then c must be a contour of f" is true because a contour of a function f is a curve along which the function has a constant value.

When the total change of a function f along a curve c is zero, it means that the function's value has not changed throughout the curve.

This indicates that the curve c must be a contour of the function f, as the function has a constant value along the curve.

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The expression 60⋅1.2^t models the number of nano-related patents granted in the US as a function of years since 1991.


Start with the number 60.

This represents the initial number of nano-related patents granted in the US in the year 1991.

Multiply 60 by 1.2.

This accounts for a growth factor of 1.2, indicating that the number of patents granted is increasing by 20% each year.

Raise 1.2 to the power of t. The variable t represents the number of years since 1991. This allows the expression to model the increase in patents over time.

The resulting expression, 60⋅1.2^t, gives an estimate of the number of nano-related patents granted in the US for any given year since 1991.

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Answer:

60.

Step-by-step explanation:

because hg = gj = hj , also all three angles are the same and since a triangle has 180' , 180/3 is 60

Answer:

We can convert 6.75% to a decimal by dividing by 100.

If x is the price of the house, then the sales tax is 0.0675x. The price of the house and the sales tax add up to $319,000.

x+0.0675x=319,000

Combe terms on the left.

1.0675x=319,000

Finally, divide both sides by 1.0675.

x=319,0001.0675=298,829.04

Answer:

Answer: D- point and line

Step-by-step explanation:

x + 21 + 3x + 9 = 90

Combine like terms

4x + 30 = 90

Subtract 30 from both sides

4x = 60

Divide both sides by 4

x = 15

Answer:

x = 15

Step-by-step explanation:

You can use the opposite angles property to solve this problem. By using the property, the opposite angle of x+21 must also be x+21. So therefore, you can setup the equation x+21+3x+9=90. Simplify and you should get 4x+30=90. Subtract 30 on both sides and you get 4x=60. Divide 4 on both sides and you get x=15.

Answer:

8 i think?

Step-by-step explanation:

im pretty sure its not 4, so i think 8

A. The correct option for the first question is option B. Sample variations in the numbers of yards to the opposing goal line explain 11% of the sample variation in the numbers of points scored using the least squares line.

b. The coefficient of correlation, r, can be calculated as the square root of r². Using the formula:r² = 0.11, hence r = √0.11= 0.331. The value of r is positive since it is the square root of r², which is positive. Therefore, the correct option is B. The coefficient of correlation, r = 0.331, is positive because the estimator of 1B1 is positive.

(a) The coefficient of determination, r^2, represents the proportion of the sample variation in the response variable (number of points scored) that can be explained by the variation in the predictor variable (number of yards to the opposing goal line) using the least squares line. In this case, r^2 is equal to 0.11.

The correct interpretation is:

B. Sample variations in the numbers of yards to the opposing goal line explain 11% of the sample variation in the numbers of points scored using the least squares line.

This means that approximately 11% of the variability in the points scored by a team can be attributed to the variability in the number of yards to the opposing goal line. The remaining 89% of the variability is due to other factors not accounted for by the linear regression model.

(b) The coefficient of correlation, r, can be obtained by taking the square root of the coefficient of determination, r^2. Since r^2 is given as 0.11, we can calculate r as follows:

r = sqrt(r^2) = sqrt(0.11) ≈ 0.332

The value of r is positive because the square root of a positive number is always positive. A positive value of r indicates a positive linear relationship between the number of yards to the opposing goal line and the number of points scored.

It suggests that as the number of yards to the opposing goal line decreases, the number of points scored tends to increase.

In summary, the coefficient of determination (r^2) tells us the proportion of the sample variation in points scored that can be explained by the variation in yards to the opposing goal line. In this case, it is approximately 11%.

The coefficient of correlation (r) is the square root of r^2 and measures the strength and direction of the linear relationship between the variables. In this case, r is approximately 0.332, indicating a positive relationship between yards and points.

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Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

If the large pizza costs $10 and each topping costs additional $2 , then the total cost of the pizza if the person takes 4 extra toppings is $18  .

The Cost of the large pizza = $10 ,

the cost of the additional toppings = $2 ,

let x represents number of toppings , y denotes the total cost ,

So , the equation that represents the situation is y = 10 + 2x ,

the person is taking 4 additional toppings ,

that means , x = 4 ,

So , the total cost is = 10 + 2(4)

= 10 + 8 ,

= 18 .

Therefore , the total cost of the pizza is $18 .

The given question is incomplete , the complete question is

A large pizza costs $10. Each topping costs an additional $2. This situation can be represented by the equation y = 10 + 2x, where x represents the number of toppings and y represents the total cost . Find the total cost if the person takes 4 extra toppings .

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Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

The additional ordered pair to form the function (12, 7)

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value.

Given that, a table which is showing a function,

We need to find one ordered pair that can shows a function,

According to the definition of the function, we know that each value of x will have a unique value of y,

From the numbers given, the only ordered pair that shows a function is (12, 7)

Hence, the additional ordered pair to form the function (12, 7)

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