Katelyn is looking for jobs and is hoping to find one that will allow her to make at least
$1,500 in her first paycheck. She has found one possible position at a local restaurant
that is offering a $100 signing bonus and a wage of 12 per hour. How many hours will
Katelyn need to work to make $1,500 in her first paycheck?

If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

Learn more about y-intercept here:

https://brainly.com/question/14180189

#SPJ11

Answer:

8/15

Step-by-step explanation:

For right triangles tan p = opposite leg / adjacent leg

tan p = 24 /45   =   8/15

Answer:

y = 1/2x + 4

Step-by-step explanation:

When you start graphing this equation then you can see that (8,8) is one of the points.

Answer:

See solution below

Step-by-step explanation:

According to pythagoras theorem

hyp^2 = opp^2 + adj^2

10^2 = 4^2 + b^2

100 = 16 + b^2

b^2 = 100-16

b^2 = 84

b = √84

b ≈ 9

Using SOH CHA TOA identity

sin B = AC/AB

Sin B = 9/10

B = arcsin0.9

B ≈ 64degrees

sinA = BC/AB

Sin A = 4/10

A = arcsin0.4

A ≈ 24degrees

Answer:

a= 24b/5c b= 5ac/24 c= 24b/5a

Step-by-step explanation:

Put the problem into a calculator that can solve with variables.

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²

b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:

Left side: 1³ = 1

Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

learn more about the statement

https://brainly.com/question/10705953

#SPJ11

a) The equation is not true for n = 1, so P(1) is false.

b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1

a) To find P(1), we substitute n = 1 into the equation given:

13 = (1(1 + 1) / 2)²

13 = (1 / 2)²

13 = 1/4

The equation is not true for n = 1, so P(1) is false.

b) To complete the basic step of the proof, we need to show that P(1) is true.

However, we have just shown that P(1) is false.

This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.

Therefore, the proof cannot proceed and is incomplete.

for such more question on integer

https://brainly.com/question/929808

#SPJ11

The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

To know more about expression here

https://brainly.com/question/1859113

#SPJ4

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

for such more question on medium

https://brainly.com/question/14532771

#SPJ8

Step-by-step explanation:

\(3)b \: c \ \: d \: e \\ \\ 4)bc \: nd \: de \\ 5)s \\ 6)t \\ thank \: you\)

Answer:

Step-by-step explanation:

Use this formula:

y - y1 = m ( x - x1 )

We are told m = -3 and given the point (12 , 5) ---- > so x1 = 12 and y1= 5

Put these values into the formula above and you get:

y - y1 = m ( x - x1 )

y - 5 = -3 ( x - 12 )

y - 5 = -3x + 36

y = -3x + 36 + 5

y = -3x + 41

The average rate of change of each function on the interval 2 ≤ x ≤ 6 is given as follows:

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

For the function f(x), we have that:

Hence the rate is given as follows:

r = (2 - 7)/(6 - 2)

r = -5/4

r = -1.25.

For the function g(x), we have that:

Hence the rate is given as follows:

r = (-10.29 - (-7.43))/(6 - 2)

r = -0.715

More can be learned about the average rate of change of a function at brainly.com/question/11627203

#SPJ1

Answer:

Explanation:

Given:

5/8 = 0.625

2/3 = 0.667

60% = 0.6

0.59

0.70

Now, we sort the numbers from least to greatest.

0.59, 60%, 5/8, 2/3, 0.70

Therefore, the answer is:

0.59, 60%, 5/8, 2/3, 0.70

Step-by-step explanation:

Sam's rope = 42 inches * (2/7) = 12 inches.

The given statement "Symmetric confidence intervals are used to draw conclusions about two-sided hypothesis tests" is True.

In statistics, a confidence interval is a range within which a parameter, such as a population mean, is likely to be found with a specified level of confidence. This level of confidence is usually expressed as a percentage, such as 95% or 99%.

In a two-sided hypothesis test, we are interested in testing if a parameter is equal to a specified value (null hypothesis) or if it is different from that value (alternative hypothesis). For example, we might want to test if the mean height of a population is equal to a certain value or if it is different from that value.

Symmetric confidence intervals are useful in this context because they provide a range of possible values for the parameter, with the specified level of confidence, and are centered around the point estimate. If the hypothesized value lies outside the confidence interval, we can reject the null hypothesis in favor of the alternative hypothesis, concluding that the parameter is different from the specified value.

In summary, symmetric confidence intervals play a crucial role in drawing conclusions about two-sided hypothesis tests by providing a range within which the parameter of interest is likely to be found with a specified level of confidence. This allows researchers to determine if the null hypothesis can be rejected or if there is insufficient evidence to do so.

To know more about confidence interval, refer to the link below:

https://brainly.com/question/30828561#

#SPJ11

Answer:

y=5x-6

Step-by-step explanation:

Comparing y=5x-6 with y=mx+c,the slope is 5 and y intercept is-6

Answer:

Difference = 36

Step-by-step explanation:

Given that,

The boiling point of Oxygen = -183

The melting point of Oxygen = -219

We need to find the temperature difference of the melting point and the boiling point.

Difference = boiling point - melting point

= -183-(-219)

= -183+219

= 36

Hence, the required temperature difference is 36.

Answer:

x = -4 and y = 0

Step-by-step explanation:

We can solve the system of equations by substitution or elimination. Here, we will use the substitution method.

First, we will solve for y in the first equation:

y = -16 - 4x

Next, we will substitute this expression for y into the second equation:

2x - 3y = -8

2x - 3(-16 - 4x) = -8

2x + 48 + 12x = -8

14x = -56

x = -4

Now that we have found the value of x, we can substitute it back into the first equation to solve for y:

y = -16 - 4x

y = -16 - 4(-4)

y = -16 + 16

y = 0

Therefore, the solution to the system of equations is x = -4 and y = 0.

Answer:

(- 4, 0 )

Step-by-step explanation:

4x + y = - 16 → (1)

2x - 3y = - 8 → (2)

multiplying (1) by 3 and adding to (2) will eliminate y

12x + 3y = - 48 → (3)

add (2) and (3) term by term to eliminate y

(2x + 12x) + (- 3y + 3y) = - 8 - 48

14x + 0 = - 56

14x = - 56 ( divide both sides by 14 )

x = - 4

substitute x = - 4 into either of the 2 equations and solve for x

substituting into (1)

4(- 4) + y = - 16

- 16 + y = - 16 ( add 16 to both sides )

y = 0

solution is (- 4, 0 )

Answer; i have to see the puture

Answer:

The value of the line segment \(ED\) is 36.

Step-by-step explanation:

The hypotenuse represents the longest side in the right triangle. In this case, FD represents the hypotenuse as it is a multiple of 13. Based on the trigonometric relations described in the statements, we get the following relationships by definition of cosines:

\(\cos D = \frac{ED}{FD}\) (1)

\(\cos F = \frac{EF}{FD}\) (2)

If we know that \(\cos D = \frac{12}{13}\) and \(FD = 39\), then the length of the line segment \(ED\) is:

\(ED = FD\cdot \cos D\)

\(ED = 39\cdot \left(\frac{12}{13} \right)\)

\(ED = 36\)

The value of the line segment \(ED\) is 36.

Answer:

lol 12345678

Step-by-step explanation:

meatballs

Answer:0.22

Step-by-step explanation:

Answer:$0.22

Step-by-step explanation:

EDGE

Total distance travelled by lisa before falling off is 56.52 m

The circumference of a circle is the straight-line distance around it. In other words, if you open a circle and draw a straight line, the length of that line will be the perimeter. The perimeter is the total distance around the circle. Then find the perimeter using the formula C = 2πr.

Given,

Unicycle wheel diameter = 0.6 m

Unicycle wheel radius = 0.3 m

Number of revolutions before falling = 32

Circumference (C) = 2 x Pi x Radius

= 2 × π × r

= 2 × 3.14 × 0.3

= 1.884 m

Distance travelled by lisa = 30 × 1.884

= 56.52 m

To know more about circumference of circle visit:

https://brainly.com/question/17009295

#SPJ4

The data is represented by by quadratic function -0.28x² + 3.7x + 2.8 and it's graph attached below

Using the information given , we could create a data table which would help us make a graphical representation of the data.

Time (hours) | Snow on ground (inches)

------- | --------

0 | 3

1 | 6

2 | 9

3 | 12

6 | 13

7 | 14

8 | 15

9 | 16

10 | 12

11 | 8

Using a graphical calculator, the data yields a quadratic graph attached below.

Hence, The data is represented by the quadratic model -0.28x² + 3.7x + 2.8

Learn more on Quadratic functions ; https://brainly.com/question/1214333

#SPJ1

Answer:

115.60

Step-by-step explanation:

for a tip 85x 0.30=25.50

tax 85x0.06=5.10

total extra money 5.10+25.50=30.60

total money payed 85+30.60=115.60

Hope this helped

Please mark Brainlist

Answer: D

Step-by-step explanation:

The perimeter is all the sides added up

2.5x + 2.5x + 10 + 2 + 10 =>

5x + 22

It is also given that the perimeter is 10.5x

meaning that both these values are equal

5x + 22 = 10.5x

Answer:

57. -2 yd

58. -$10

simple subtraction