To enroll in lessons to learn about pottery wheel throwing, you must pay an rollment of $20 for each lesson. The pottery studio also charges you $2.99 pe pound for the amount of clay used.To enroll in lessons to learn about pottery wheel throwing, you must pay an enrollment of $20 for each lesson. The pottery studio also charges you $2.99 per pound for the amount of clay used. Write an expression for the total cost of a person using c pounds of clay during a lesson. Use the expression to calculate the cost of a lesson where Sam uses 3.5 pounds of clay.

Answer:

y = x(2.50)+3.25

Step-by-step explanation:

y (total cost )= x (miles rode) * 2.50 (cost per mile) + 3.25 (initial cost)

The exponential function that shows the amount of money paid for membership x months after the beginning of the year is given by y = 32(1.18)ˣ.

There are two possibilities for the exponential function: it can be increasing or decreasing. Being increasing means that as the value of x increases, the value of f(x) also increases; being decreasing means that as the value of x decreases, the value of f(x) also decreases.

Let y represent the amount of money paid for membership x months after the beginning of the year. Abby's gym membership will increase by 18% a month. This is an exponential function.She is currently paying $32 a month, hence:y = 32(1 + 0.18)ˣy = 32(1.18)ˣ

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The launching angle of the plane which has reached a height of 35000 ft is 15°

Let the distance travelled by the airplane horizontally be AB

The height reached by the airplane be BC

Thus AB = 130000 ft

        BC = 35000 ft

The launching angle of the airplane can be found using the formula

                                   tanθ = opposite / adjacent

                                                    (or)

                                           tanθ  = BC / AB

Let us substitute the known values in the above equation, we get

                                          tanθ  = 35000/130000

                                          tanθ  = 0.2692

                                               θ  = tan⁻¹ (0.2692)

                                               θ  = 15.067°

                                               θ  ≅ 15°

Therefore , the launching angle of the airplane is 15°

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7.5cm distance a spring when a force of 270 newtons stretch the same spring.

A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given Data

A force of 180 newtons stretches a spring 5 cm

If we consider F to be the force and x to be the extension, then:

F = kx

F = 180

x = 5

Equating

180 = 5k

k = 36

F = 36x

Force of 270:

270 = 36x

x= 7.5

7.5cm distance a spring when a force of 270 newtons stretch the same spring.

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Answer: C, x = -16

Step-by-step explanation:

1. Distribute

7x-2(x+1)=6x+14

7x-2x-2=6x+14

2. Combine like terms

7x-2x-2=6x+14

5x-2=6x+14

3. Add 2 to both sides

5x-2+2=6x+14+2

4. Simplify

Add the numbers

5x=6x+16

5. Subtract 6x from both sides

5x-6x=6x+16-6x

6. Simplify

Combine like terms

-x=16

7. Divide both sides by the same factor

-x/-1=16/-1

8. Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

6.06 is compute the 4-period weighted moving average in period 5.

What is average in ?

Identify number to average that is 19,17,14,13 over four day period.

Assigning weights to each number.

= 4 * 19 + 5 * 17 + 8 * 14 + 11 * 13

= 416

The sum of period is 19 + 17+ 14 + 13 = 63

  So , 416/63   = 6.06

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Answer:

Step-by-step explanation:

Let's write everything in slope-intercept format of y=mx+b, where m is the slope and b is the y-intercept.

x+3y=15

3y= -x + 15

y = (-1/3)x + 5

Parallel lines will have the sam slope, in this case -(1/3),  So the new line will be:

y = (-1/3)x + b

We need to fijnd a value of b that will force the ine through point (6,1).  Enter (6,1) in the equation and solve for b:

y = (-1/3)x + b

1 = (-1/3)(6) + b

1 = (-2) + b

b = 3

The parallel line is:

   y = (-1/3)x + 3

See the attached graph.

correct value of x will 9 if Maggie corrected her mistake.

When the greatest power of the variable is consistently 1, an equation is considered to be linear. A one-degree equation is another name for it. The typical form of a linear equation with one variable is Ax + B = 0. The variables x and A in this situation are variables, whereas B is a constant.

Applying the parallel line theorem

alternate angles are always equal -

therefore ,

 4x + 2 = 7x - 25

27 = 3x

x = 9

so , the correct value of x will be 9 if maggie corrected her mistake

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The probability that someone does not have this​ belief is (1-x%)

If, x % of people believe that it is morally wrong to not report all income on tax returns.

A research center poll showed that ​% of people believe that it is morally wrong to not report all income on tax returns.

let, x % of people believe that it is morally wrong to not report all income on tax returns.

then, the probability that someone does not have this​ belief-->

the sum of the probability of all events equal to 1.

so, probability(believe it morally wrong to not report ) + probability(does not believe this )=1;

so, the probability that someone does not have this​ belief = 1-x%

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Given:

To draw the graph:

Let us find the slope as the ratio.

Comparing the given equation with y=mx+c

So, the slope m=4.

In ratio,

Let us take two points, (0,0) and (1,4).

So, the graph is,

Answer:

3x(x+6)

=(3x)(x+6)

=(3x)(x)+(3x)(6)

=3x2+18x

Step-by-step explanation:

By using the concept of uniform rectilinear motion, the distance surplus of the average race car is equal to 3 / 4 miles. (Right choice: A)

In accordance with the statement, both the average consumer car and the average race car travel at constant speed (v), in miles per hour. The distance traveled by the vehicle (s), in miles, is equal to the product of the speed and time (t), in hours. The distance surplus (s'), in miles, done by the average race car is determined by the following expression:

s' = (v' - v) · t

Where:

Please notice that a hour equal 3600 seconds. If we know that v' = 210 mi / h, v = 120 mi / h and t = 30 / 3600 h, then the distance surplus of the average race car is:

s' = (210 - 120) · (30 / 3600)

s' = 3 / 4 mi

The distance surplus of the average race car is equal to 3 / 4 miles.

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Answer: B. (15)

Y= -[tex]\frac{3}{1}[/tex]x + 15

Step-by-step explanation:

In the Table we see a f(x) decreasing by 3 for every 1 (x)

So we Have a Slope of -3(y) over 1(x)

Answer:

Step-by-step explanation:

No it does not hold for division nor subtraction. An example would be 8÷(4÷2)≠(8÷4)÷2. You would get two complete different answers. For the first equation you would get 4 where as for the second equation you would get 1.

Answer:

[tex] = \frac{ {4x}^{2} {y}^{4} \sqrt{5z} }{5z} [/tex]

Step-by-step explanation:

[tex] \sqrt{ \frac{16x {}^{4} y {}^{8} }{5z} } \\ = \sqrt{ \frac{16 {x}^{4} y {}^{8} }{ \sqrt{5z \\ } } } \\ = \frac{4 {x}^{2}y {}^{4} }{ \sqrt{5z} } \\ = \frac{ {4x}^{2} y {}^{4} \sqrt{5z} }{5z} [/tex]

The equivalent number to 2.76 is the mixed number 2 + 19/25.

Here we need to see which option is equivalent to the given number, which is 2.76.

We can rewrite this as a mixed number.

2 + a/b

Such that:

a/b = 0.76

By looking at the options, we can see:

19/25 = 0.76

Then the correct option is:

2 + 19/25

So the third option is the correct one.

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Answer:

Step-by-step explanation:

Put the left dot on negative 4, and then put the right dot on positive 6.

The inequality expression given as |-4/3x - 5| > 19 has a solution of 10.5 < x < -18

From the question, the inequality is given as

|-4/3x-5|>19

Rewrite properly as

|-4/3x - 5| > 19

Remove the absolute bracket

So, we have the following representation

-19 > -4/3x - 5 > 19

Add 5 to all sides of the inequality

So, we have

-14 > -4/3x > 24

Multiply through by -3/4

So, we have

10.5 < x < -18

Hence, the solution to the expression is 10.5 < x < -18

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Answer:

can you turn it to the carma I can see it that good

The value of t for the angles of the given triangle will be 30.67.

The straight angle is equal to the total of the angles of a triangle. Three angles, one at each vertex and bounded by two neighbouring sides, make up a triangle. For a very long period, it was unknown if there were any alternative geometries for which the total is different.

The triangle has three sides and is a two-dimensional figure having the sum of the angles of 180 degrees.

In the given image the three angles are 2t, t + 8, and t - 12. The value of t will be calculated as:-

2t + t + 8 + t - 12 = 180

4t - 4 = 180

4t = 184

t = 184 / 4

t = 30.67

Therefore, the value of t for the angles of the given triangle will be 30.67.

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The number of length of 4 feet they need is 8.

He wants to fence around there garden that measures 8 feet by 8 feet.

The store sells fencing in length of 4 feet's.

Therefore,

perimeter of the garden = 4l

where

The perimeter of a shape is the sum of the whole side.

Hence,

perimeter of the garden = 4 × 8

perimeter of the garden =  32 feet

Therefore,

number of length required = 32 / 4

number of length required =  8

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Answer:

a=4c-8+3b

Step-by-step explanation:

Answer: 51

Step-by-step explanation:

x = 30

Step-by-step explanation:

Given,

y = 10, x = ?

2y+y = x → Equation no. (1)

Substitute the value of y in Equation no. (1) then,

2(10)+10 = x

20+10 = x

30 = x (OR) x = 30.

Using the rule for a dilation, it is found that:

1. The table with the coordinates is given by the first image.

2. The graph of the dilated triangle is given by the second image.

3. The rule is: (x,y) -> (1.5x, 1.5y).

When a figure is dilated by an scale factor of a, each vertex of the figure is multiplied by the scale factor of a, hence the rule is given by the following vector:

(x,y) -> (ax, ay).

The coordinates of the vertices of the pre-image are given as follows:

A(-2, -2), B(2,2), C(4, -2).

The dilation has a scale factor of 1.5, hence the rule for the calculation of each vertex of the image, considering the pre-image, is given as follows:

(x,y) -> (1.5x, 1.5y).

Then the vertices of the image will be given as follows:

A'(-3, -3), B'(3,3), C'(6, -3).

Each coordinate of A, B and C was simply multiplied by 1/2, and the triangle with these vertices is given by the second image at the end of the answer.

The problem is incomplete, and is given by the first image at the end of the answer.

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Answer:

f(-4) = 19

Step-by-step explanation:

Since -4 < 1, we need to use the bottom part of the function:

[tex]f( - 4) = {( - 4)}^{2} + 3 = 16 + 3 = 19[/tex]

The line graph is created using the close price of the stock each day.

In Trading and securities, a stock is also known to as equity and it can be defined as a financial security which represents a stockholder's ownership of a fraction of a corporation.

An closing price can be defined as the official price at which a financial security first trades at the closing of an exchange on a stock market, during a regular trading session.

This ultimately implies that, a closing price is the price at which the last financial transactions are completed or the last bids and offers are made by eligible customers on a stock market.

In this context, we can reasonably infer and logically deduce that the close price of the stock each day was used to create the line graph.

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Complete Question:

Select the correct answer from each drop-down menu. A graph plots stock value. A line rises from (18, 1,725 point 00) to (20, 1,750 point 00) declines to (25, 1,670 point 0 0) and rises to (1, 705 point 7 4). Line graphs show price trends over different time periods. What data points are used to create a line graph on the stock quote shown?

The line graph is created using the _____ of the stock each _____.

Answer:w

Step-by-step explanation:aaw

w

[tex]m = ( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ = ( \frac{ - 7 + 7}{2} . \frac{5 + 3}{2} ) \\ =( \frac{0}{2} . \frac{8}{2} ) \\ m(0.4)[/tex]

be alert m represents the MIDPOINT.

THE MIDPOINT IS (0,4)

Answer:

-1/7

Step-by-step explanation:

Answer: Sorry for the late answer, I was already answering it by the time someone else answered

Step-by-step explanation:

Since two angles on a straight line add up to 180, I used the angles given to find the adjacent angles to it by subtracting those angles from 180. Then, since the angles of a triangle add up to 180, I used the angles I just solved for to find the angle that is adjacent to n. I did the same thing I did to the first two angles by subtracting it from 180 to find n, which was 69 degrees