20% tip on a bill of $60.53

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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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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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.

Answer:

£30

Step-by-step explanation:

Percentage = Division

24 × 25% or 24 ÷ 4

= 6

6 + 24

= 30

Answer : Transitive Property

If that's not correct, try Symmetric or substitution cause I know it's not reflexive

x = -14/9 is the solution to the equation ( 7x + 6 )/4 = ( 2x − 3 )/5 in a simplified improper fraction form.

Given the data in the question;

To solve for x, first we cross multiply

( 7x + 6 )/4 = ( 2x − 3 )/5

5( 7x + 6 ) = 4( 2x − 3 )

Remove the parenthesis using distributive property

7x×5 + 6×5 = 2x×4 − 3×4

35x + 30 = 8x - 12

Collect like terms by moving all terms containing x to the left and all constant terms to the right side of the equation.

35x - 8x = -12 - 30

27x = -12 - 30

27x = -42

Divide both sides by 27

27x/27 = -42/27

x = -42/27

x = -14/9

Therefore, the value of x in the given equation ( 7x + 6 )/4 = ( 2x − 3 )/5 is -14/9.

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Answer:

2/3

Step-by-step explanation:

Answer:

The constant of proportionality is $1.80

y = 1.80x

Step-by-step explanation:

The constant of proportionality is $1.80

An equation that relates the total cost, y, and the number of lemons, x, is

y = 1.80x

where,

y =Total cost

x = number of lemon

When x = 4

y = 1.80x

y = 1.80(4)

y = 7.2

y = $7.2

When y = $4.20

y = 1.80x

4.20 = 1.80x

x = 4.20 / 1.80

x = 2 1/3

x = 2 1/3

When y = $9.00

y = 1.80x

9.00 = 1.80x

x = 9.00 / 1.80

x = 5

x = 5

When x = 18

y = 1.80x

y = 1.80 × 18

y = 32.4

y = $32.4

Answer: No.

Step-by-step explanation:

3 x 5 = 15,

but 10 x 5 = 50.

In order for the ratios to be equivalent, they would have to be written like this:

3/10 = 15/50

Therefore, it is not equivalent.

Hope this helps!

The probability that the web site has fewer than 5 million visitors in a single day is 0.7293.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 5 million

μ = mean = 4.56 million

σ = standard deviation = 720,000

z-score = (5 million - 4.56 million) / 720,000

z-score = 440,000 / 720,000

z-score = 0.6111

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score =  0.6111

Using interpolation of values,

probability = 0.7293

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[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: 14 : 12

Step-by-step explanation:

Answer: 14:12

Step-by-step explanation: To find the ratio, you would either multiply or divide the two numbers by the same number, and you would get a simplified ratio or an equivalent one. Because 7:6 is simplified, we have to find an equivalent ratio, meaning we multiply. If we multiply 7 by two, we get 14. Multiply 6 by two to get 12. So, the answer is 14:12. Divide both 14 and 12 by two to get back to 7:6.

Answer:

D) 116

Step-by-step explanation:

Supplementary angles add up to 180°

 ∠CDE + ∠FDE = 180

3x + 10 + 6x + 8 = 180

3x + 6x + 10 + 8 = 180

Combine like terms,

              9x + 18 = 180

Subtract 18 from both sides,

                    9x  = 180 - 18

                    9x = 162

Divide both sides by 9

                     x = 162 ÷ 9

                    [tex]\sf \boxed{\bf x = 18}[/tex]

∠FDE = 6x + 8

         = 6*18 + 8

         = 108 + 8

         = 116°

Answer:

I believe the answer is 6:12. . .

Step-by-step explanation:

I think that 7:14 equals 1:2 in its simplest form. 6:12 also is equivalent to 1:2. 1:2 = 1:2.

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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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:

3.25c + 3c^2 - 2.25.

Step-by-step explanation:

c(4+3c) - 0.75(c+3)

Distribute “c” through the parentheses

4c + 3c^2 - 0.75(c+3)

Distribute “-0.75” through the parentheses

4c + 3c^2 - 0.75c - 2.25

Collect like terms and your answer is

3.25c + 3c^2 - 2.25.

36ft^2 square feet of outdoor carpet we will need for this hole.

Big square: Length = 6 ft ; Width = 4 ft

Small square: Length = 6 ft ; Width = 2 ft

Area = L x W

Big square: 6 * 4 = 24 ft^2

Small square: 6 * 2 = 12ft^2

On adding both, we get

Total area = 24 + 12 = 36ft^2

36ft^2 square feet of outdoor carpet we will need for this hole.

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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)

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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The correct statement about the triangle's image and pre-image is 'the image and pre-image are not congruent because one of the transformation is rigid transformation and the other is not.'

The correct answer is an option (1)

In this question, a triangle is dilated by a factor of 2 and then rotated clockwise.

We need to select the correct statement about the triangle's image and pre-image.

We know that rotation is a rigid transformation but dilation is not a rigid transformation.

Dilation does not preserve the size of the image.

Also, the image and pre-image are not congruent as the corresponding sides of triangle's image and pre-image are not equal.

Therefore, the correct statement about the triangle's image and pre-image is 'the image and pre-image are not congruent because one of the transformation is rigid transformation and the other is not.'

The correct answer is an option (1)

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An irrational number that lies between the two given ones, 0.6333.... and 0.64 is:

√7 - 2.01 =0.63575...

Remember that an irrational number is a number that can't be written as the quotient between two integers.

Here we want to find two numbers between 0.6333 (where the 3 repeats infinitely) and 0.64

So we cold try to find a number like:

6.3349412490184...

Such that there is no pattern (because if there were a pattern, it would not be an irrational number).

An example of this can be, for example:

√7 = 2.64575...

This is an irrational number.

Now, if we subtract 2.01 from that we will get:

√7 - 2.01 = 2.64575... - 2.01 = 0.63575...

This is an irrational number and lies between the two given ones, then we conclude that √7 - 2.01 =0.63575... is a correct option.

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Answer:

- 8

Step-by-step explanation:

the coefficient is the numeric value, including the sign, in front of the variable.

4a - 8b + c

the coefficient of b is - 8

The value of c in the equation cx+4y=12 would give the equation a slope of 8 would be 32.

A straight line of the form  y = MX + c has its slope as 'm'

It is constant for a line. The more the slope is, the steeper the line is.

Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have a negative slope. The horizontal line has 0 slopes and the vertical line has an infinite slope, as it is now at maximum steepness.

We have been given the equation cx+4y=12 which has a slope of  8.

Also cx+4y=12

4y = 12 - cx

y = 12/4 - cx/4

y = 3 - cx/4

Then we know that straight line of the form  y = mx + c

By comparing the formula;

y = 3 - cx/4

Slope = c/4 = 8

c/4 = 8

c = 8(4)

c = 32

Therefore, the value of c in the equation cx+4y=12 would give the equation a slope of 8 would be 32.

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Answer: 32/139

Step-by-step explanation:

42+45+20+32=139

32/139

Okay so we have 18 ppl we want 4 cookies per person

in one batch we can make 24

first multiple 18 by 4 or vice versa

answer is 72

now divide 72 by 24

answer is 3

we need 3 batches to make 4 cookies per person

The maximum number of dresses that Amanda can send to be ironed is 8.

For the given question;

Total budget of Amanda = $100.

Price of washing = $8 per dress.

Price of ironing = $5 per dress.

Total number of dress to be washed = 7.

Let x be the number of dress to be send for ironing.

The inequality becomes.

5x + 7×8 ≤ 100

5x + 56 ≤ 100; is the required inequality.

For finding the x, equate the value.

5x + 56 ≤ 100

5x ≤ 44

x ≤ 8.8

But x must be less, then.

x = 8 dress.

Thus, the maximum number of dresses that Amanda can send to be ironed is 8.

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The complete question is-

Amanda wants to send her dresses to the laundry downstairs, and she wants to keep her cleaning within a budget of $100 . the laundry charges  $8 for washing one dress and for ironing one $5. write an inequality to describe the possible number of dresses that amanda can send to be washed and send to be ironed. if amanda has 7 dresses to be washed, what is the maximum number of dresses that she can send to be ironed? dresses (amanda can send to be ironed).

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 value of p when a = 16, b = 9 and c = 13 is 38

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Given that:

p = a + b + c

Substituting the values of a, b and c:

p = 16 + 9 + 13

p = 38

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