A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.
Using technology, determine the line of fit, where represents the number of years of experience and y represents the salary.
A) y = - 2525x + 40000
B) y = 2525x + 40000
C) y = -2233.3x + 39940
D) y = 2233. 3x + 39940

Answer:

Looking at the number line, we can see that R is to the left of P, and S is to the right of P. Also, Q is to the left of R, and S is to the right of Q.

So, the first statement "R x P > S" is not true, because S is to the right of both R and P.

The second statement "S > Q x R" is also not true, because Q is to the left of R, and S is to the right of both Q and R.

The third statement "Q x R > S" is true, because Q is to the left of R, and S is to the right of both Q and R. Therefore, the correct statement is:

Q x R > S

Answer:

Let m be the mass of the object and w be the weight of the object. According to the problem, weight varies directly with mass, so we can write:

w = k * m

where k is the constant of proportionality.

To find k, we can use the information given in the problem. We know that when m = 2 kg, w = 4 N. Substituting these values into the equation above, we get:

4 N = k * 2 kg

Solving for k, we get:

k = 4 N / 2 kg = 2 N/kg

Now we can use this value of k to find the mass of an object that weighs 18 N. We can rearrange the equation above to solve for m:

m = w / k

Substituting w = 18 N and k = 2 N/kg, we get:

m = 18 N / 2 N/kg = 9 kg

Therefore, the mass of the object that weighs 18 N is 9 kg.

Answer:  1st one

Step-by-step explanation:

Answer:

The amount of persons who have heard in 30mins would be:

45 persons

Answer:

Step-by-step explanation:

BD is craxking treys and cracking treys is gd dissing bd you can look it up i ffrom o block and bd is the opps im telling so you wont lose yo life so please play right if you gdk be gdk if u gd be gd we aint bd ofn

Answer:

The side length is [tex]\frac{6}{\sqrt{2} }[/tex].

Step-by-step explanation:

We are given the diagonal of the square: 6 meters.

Using the formula with given side length:

[tex]a=q\div\sqrt{2}[/tex]

We can see that the diagonal length of the square divided by the square root of 2 can find the missing side length.

Hence the answer is 6√2.

Answer:

all numbers greater than 8

Step-by-step explanation:

simply pick any number greater than 8, since the > symbol is in front of 8. By the way, you cannot pick 8. :) I hope this helps!

From the calculation, g increases on the interval [-3, 6) and for 0 ≤ x ≤ 6, g(x) = 6 - 1/2(x-2)²

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division. An expression's basic components are as follows: The formula is (Number/Variable, Math Operator, Number/Variable).

Since f(x) is a piecewise-defined function, we need to consider each interval separately.

For -3 ≤ x < 0, f(x) = 3, so g'(x) = 3, which is positive.

For 0 ≤ x ≤ 6, f(x) = -x + 3, which is a decreasing function, so g'(x) is also decreasing. However, since f(x) is always non-negative on this interval, g'(x) is non-negative as well.

For 6 < x ≤ 9, f(x) = -3, so g'(x) = -3, which is negative.

Therefore, g is increasing on the interval [-3, 6).

To justify this, note that g'(x) = 0 at x = 0 and x = 6, where g has local maxima. This means that g is increasing on the intervals (-3, 0) and (0, 6) and decreasing on (6, 9]. Since g is continuous, it cannot have any jumps, so it must be increasing or decreasing on each of these intervals. Since g(-3) = 0 and g(6) = 9, we know that g is increasing on the interval [-3, 6).

We can evaluate g(x) on the interval [0, 6] by integrating f(x) with respect to t from -2 to x:

g(x) = ∫_{-2}^{x} f(t) dt

On the interval [-3, 0), f(t) = 3, so we have

g(x) = ∫_{-2}^{0} 3 dt + ∫_{0}^{x} (-t + 3) dt

Simplifying the integrals, we get:

g(x) = 6 - 1/2(x-2)^2, for 0 ≤ x ≤ 6

Therefore, for 0 ≤ x ≤ 6, g(x) = 6 - 1/2(x-2)²

Learn more about expression

brainly.com/question/14083225

#SPJ1

The expression of g in terms of x  is increases on the interval [-3, 6) and for 0 ≤ x ≤ 6 is  g(x) = [tex]6 - \frac{1}{2(x-2)^2}[/tex].

What is a mathematical expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Since f(x) is a piecewise-defined function, we need to consider each interval separately.

For -3 ≤ x < 0, f(x) = 3, so g'(x) = 3, which is positive.

For 0 ≤ x ≤ 6, f(x) = -x + 3, which is a decreasing function, so g'(x) is also decreasing.

However, since f(x) is always non-negative on this interval, g'(x) is non-negative as well.

For 6 < x ≤ 9, f(x) = -3, so g'(x) = -3, which is negative.

Therefore, g is increasing on the interval [-3, 6).

We can evaluate g(x) on the interval [0, 6] by integrating f(x) with respect to t from -2 to x:

[tex]g(x) = \int{-2}^{x} f(t) dt[/tex]

On the interval [-3, 0), f(t) = 3, so we have

[tex]g(x) = \int_{-2}^{0} 3 dt + \int_{0}^{x} (-t + 3) dt[/tex]

Simplifying the integrals, we get:

[tex]g(x) = 6 - \frac{1}{2(x-2)^2}[/tex], for 0 ≤ x ≤ 6

Therefore, for 0 ≤ x ≤ 6, g(x) = 6 - 1/2(x-2)².

To Learn more about expression refer the below link

https://brainly.com/question/112703

#SPJ1

Answer:Let's assume the number of haircuts Hayley needs to perform in a month for the total amount paid to either salon to be the same is denoted as 'x'.

For self-employment at The Princeton Salon:

Hayley would pay a fixed monthly rent of $774 to rent a station and keep all of her earnings.

For working at a franchise:

Hayley would have to pay $9 to the salon for every haircut she performs.

Based on the given information, we can set up the following equation to find the value of 'x':

Number of haircuts * Cost per haircut at franchise = Monthly rent at The Princeton Salon

x * 9 = 774

Solving for 'x':

x = 774/9

x ≈ 86.00

So, Hayley would need to perform approximately 86 haircuts in a month for the total amount paid to either salon to be the same.

Now, to calculate the total amount paid to either salon, we can use the following formulas:

Total amount paid at The Princeton Salon = Monthly rent + Earnings (which would be all of her earnings, as mentioned in the prompt)

Total amount paid at the franchise = Cost per haircut * Number of haircuts

Plugging in the values:

Total amount paid at The Princeton Salon = $774 + (Earnings from haircuts)

Total amount paid at the franchise = $9 * 86

Since the total amount paid to either salon is the same, we can equate the two equations:

$774 + Earnings from haircuts = $9 * 86

Solving for Earnings from haircuts:

Earnings from haircuts = $9 * 86 - $774

Earnings from haircuts = $774

So, Hayley would pay a total of $774 in earnings from haircuts, regardless of whether she chooses self-employment at The Princeton Salon or working at the franchise. The number of haircuts she needs to perform to reach this amount is 86.

Step-by-step explanation:

Answer:5

Step-by-step explanation: hope this helps

Answer:

$526.75 i believe

Step-by-step explanation:

The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

To know more about Number Line, visit:

https://brainly.com/question/24644930

#SPJ1

Number line attached below,

Answer:

To find the median cost of these boxes of cereal, we need to order the prices from least to greatest:

$1.90, $2.30, $2.40, $2.50, $2.50, $2.70, $2.90, $3.20, $3.50, $3.90

There are 10 numbers, so the median is the average of the 5th and 6th numbers:

Median = ($2.50 + $2.70) / 2 = $2.60

Therefore, the median cost of these boxes of cereal is $2.60.

Answer:

What is the median cost of these boxes of cereal?

$3.50, $2.30, $2.50, $3.90, $2.90, $2.40, $1.90, $2.50, $3.20, $2.70

Let's put it in order first:

$1.90, $2.30, $2.40, $2.50, $2.50, $2.70, $2.90, $3.20, $3.50, $3.90

Now find the middle number (s):

$1.90, $2.30, $2.40, $2.50, $2.50, $2.70, $2.90, $3.20, $3.50, $3.90

In this case, there are 2 middle numbers so do this:

$2.50 + $2.70

= $5.20

5.20 ÷ 2

So the median cost of those cereal boxes would be $2.60.

Step-by-step explanation:

You're welcome.

The range of the relation whose graph is shown include the following: C. -1 ≤ y ≤ 1.

In Mathematics and Geometry, a domain is the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = {-4, 4} or -4 ≤ x ≤ 4.

Range = {-1, 1} or -1 ≤ y ≤ 1.

Read more on domain here: brainly.com/question/17440903

#SPJ1

On the x-axis use a scale of 2 units for each grid square. on the y-axis use a scale of 10 units of each grid square. The x-coordinates range from -5 to 5. y-coordinates range from -40 to 50.

In mathematics, points and functions are represented and graphed on the coordinate plane, commonly known as the Cartesian plane. The x-axis and y-axis are two perpendicular number lines that meet at the origin to form the plane (0,0).

On the coordinate plane, points are denoted by ordered pairs (x, y), where x denotes the point's separation from the y-axis and y denotes its separation from the x-axis.

For the given coordinates the range of x and y coordinates are:

x-coordinates range from -5 to 5

y-coordinates range from -40 to 50.

Thus, we use a scale of 2 on the x-axis and 10 units on the y axis.

Learn more about coordinate plane here:

https://brainly.com/question/24134413

#SPJ1

Answer:

B

Step-by-step explanation:

THE TWO SMALLER SIDES = THE LARGER SIDE HENCE ITS A TRIANGLE

The rocket will be 20 feet from the ground 0.82 seconds after it is launched.

What is meant by feet?

Feet are a unit of measurement used to express length or distance in the imperial and US customary systems, equal to 12 inches or 0.3048 meters.

What is meant by seconds?

Seconds are a unit of measurement used to express time in the International System of Units (SI), defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between two hyperfine levels of the ground state of a cesium-133 atom.

According to the given information

We have:

-16t² + 120t + 30 = 20

Simplifying the equation, we get:

-16t² + 120t + 10 = 0

Dividing both sides by -2, we get:

8t² - 60t - 5 = 0

We can solve for t using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

Where a = 8, b = -60, and c = -5.

Plugging in these values, we get:

t = (-(-60) ± √((-60)² - 4(8)(-5))) / 2(8)

Simplifying the expression under the square root, we get:

t = (60 ± √(3600 + 160)) / 16

t = (60 ± √(3760)) / 16

t ≈ 0.82 seconds

To know more about expression visit

brainly.com/question/14083225

#SPJ1

Both Jeremy and Aksa could be right, depending on how they are counting the cubes for finding the volume of a prism.

A prism is a three-dimensional solid shape with a constant cross-section, usually a polygon. It is characterized by two identical end faces, parallel and congruent bases, and straight lateral faces connecting the bases.

Both Jeremy and Aksa could be right, depending on how they are counting the cubes.

If the prism has a square base with 4 cubes along each side, then there would be 16 cubes in each layer. If there are 4 layers, then the total volume would be 16 x 4 = 64 cubic units.

However, if the prism has a rectangular base with 6 cubes along one side and 4 cubes along the other side, then there would be 24 cubes in each layer. If there are 4 layers, then the total volume would be 24 x 4 = 96 cubic units.

Therefore, the answer depends on the shape of the prism and how the layers are counted.

To know more about Prism visit:

https://brainly.com/question/23963432

#SPJ1

The initial mass (in mg) of the sample is  32 mg

The mass 7 weeks after the start is 0.198 mg

Exponential decay is a process in which a quantity decreases at a rate proportional to its value. This means that the larger the quantity, the faster it will decrease.

Exponential decay is modeled by the following formula:

[tex]A = A_{0} \times (1/2)^{\frac{t}{T} }[/tex]

where A is the amount after time t, A₀ is the initial amount,

T is the half-life, and t is the time elapsed

Here we have

The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced to a mass of 2 mg.

For the first question, we know that after 16 days, the amount is 2 mg, and the half-life is 4 days. We can plug these values into the formula:

[tex]2 = A_{0} \times (1/2)^{\frac{16}{4}}[/tex]

Simplifying, we get:

2 = A₀ × (1/2)⁴

2 = A₀ × (1/16)

A₀ = 2 × 16

A₀ = 32 mg

So the initial mass of the sample was 32 mg.

For the second question, we need to find the mass after 7 weeks, or 49 days. We can use the same formula, but with t = 49:

[tex]A = 32 \times (1/2)^{\frac{49}{4} }[/tex]

A ≈ 0.198 mg

Therefore,

The initial mass (in mg) of the sample is  32 mg

The mass 7 weeks after the start is 0.198 mg

Learn more about Exponential decay at

https://brainly.com/question/2193799

#SPJ1

Answer: To find the circumference of a circle, there are 2 formulas.

Step-by-step explanation:

The first formula is 2πr and the second formula is πd when solving any math problem. You can use either one but you would use which one is the most helpful to answer your question. Hope this helps!

At first Sound level increases then for an instant it becomes constant then in decreases for a while then again becomes constant for an instant then again starts to increase .

What is sound level of a conversation?

A decibel (dB) is a unit used to measure sound. A motorbike engine operating is around 95 dB louder than a whisper (30 dB louder than typical conversation).

                          Your hearing may begin to deteriorate if exposed to noise levels exceeding 70 dB for an extended length of time. Your ears might suffer instant damage from loud noises exceeding 120 dB.

The relationship of sound level w.r.t time can be described as ,

a) At first Sound level increases then for an instant it becomes constant then in decreases for a while then again becomes constant for an instant then again starts to increase .

b) At both the instances the sound level is increasing as the slope of the tangent drawn to the curve at those points is positive but absolute value of sound level at instance (1) is clearly lower than the value of sound level at instance (3).

Learn more about sound level of a conversation

brainly.com/question/31017529

#SPJ1

The investment will be worth approximately $4468 after 14 years.

Annual interest rate is the rate at which an investment or loan grows in value over the course of a year, expressed as a percentage. It represents the cost of borrowing or the return on investment over one year.

The following equation can be used to determine the future value of an investment using compound interest:

FV = P * (r/n + 1)(n*t)

Where:

FV is the investment's future value.

The principal is P. (initial investment)

The annual interest rate is represented by r,

The number of times the interest is compounded annually by n (expressed as a decimal).

t is the time (in years)

In this case:

P = $1500

r = 8.5% = 0.085

n = 1 (compounded annually)

t = 14

With these values entered into the formula, we obtain:

FV = 1500 * [tex](1 + 0.085/1)^(1*14)[/tex]

     = $4467.56

Therefore, the investment will be worth approximately $4468 after 14 years.

To know more about annual interest rate visit:

https://brainly.com/question/30573341

#SPJ1

This is false, which means that the region below the line does not satisfy the inequality. So,we should shade the region above the line.

A linear inequality is a mathematical statement that compares two expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

One can write a linear inequality in one variable as ax + b  c, ax + b > c, ax + b  c, or ax + b  c.

The linear inequality given is:

m = 1/4, b = -2

To graph this inequality, we first need to plot the line with equation y = mx + b, where m = 1/4 and b = -2.

y = 1/4 x - 2

We can plot this line by finding two points on it. One way to do this is to set x to two different values and solve for y. For example, when x = 0, y = -2, and when x = 4, y = -1.

Next, we need to shade the region above or below the line to show all possible solutions.

We can determine which region to shade by choosing a test point that is not on the line and substituting its coordinates into the inequality

For example, the point (0,0) is not on the line, so we can substitute its coordinates into the inequality:

y < 1/4 x - 2

0 < 1/4 (0) - 2

0 < -2

Emma's mistake could be that she shaded the region below the line instead of above it. To do the problem correctly, we should shade the region above the line, as explained above.

To know more about expressions visit:

https://brainly.com/question/8774365

#SPJ1

Answer: To find the P-value, we first need to determine the direction of the alternative hypothesis. Since the alternative hypothesis is two-tailed, we need to divide the significance level (α) by 2 before finding the critical values and the rejection region. Therefore, we have:

H0: p = 0.06

Ha: p ≠ 0.06

α = 0.05/2 = 0.025

The test statistic is z = 1.79, which represents the number of standard errors that the sample proportion is from the hypothesized population proportion under the null hypothesis. We can find the P-value by looking up the area in the standard normal distribution table beyond the test statistic in both tails:

P-value = P(Z ≤ -1.79 or Z ≥ 1.79)

= P(Z ≤ -1.79) + P(Z ≥ 1.79)

= 0.0364 + 0.0364

= 0.0728

Therefore, the approximate P-value for Elliot's significance test is 0.0728. Since the P-value is greater than the significance level of 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the proportion of adults who bike to work in Elliot's city has changed significantly from the previous year.

Step-by-step explanation:

Answer:

16.77 cm²

Step-by-step explanation:

Area of rectangle = L x W

L = 4.3 cm

Width = 3.9 cm

Let' solve

4.3 x 3.9 = 16.77 cm²

So, the area of the rectangle is 16.77 cm²

According to the question the magnitude of the resulting force is 5.83.

Magnitude is a measure of the size or intensity of a physical quantity. It is an expression of how large or small a quantity is in comparison to a reference value. Magnitude is typically used in physics and astronomy, but it can also be used in other areas such as engineering and seismology. Magnitude is not an absolute measurement; rather, it is a relative measure of how much larger or smaller one quantity is compared to another. For example, the magnitude of a star's brightness is a measure of how much brighter it is compared to other stars.

The magnitude of the resulting force can be calculated using the Pythagorean theorem. The formula for calculating the magnitude of a vector is:
[tex]\sqrt[]{(x2 + y2)}[/tex]
In this case, x = 5 and y = -3, which gives us:
[tex]\sqrt{(52 + (-3)2)}[/tex] = [tex]\sqrt{(25 + 9)}[/tex] = √[tex]\sqrt{(34)}[/tex] = 5.83.
Therefore, the magnitude of the resulting force is 5.83.

To learn more about magnitude
https://brainly.com/question/28047791
#SPJ1

The measure of  angle CFE is determined as 29⁰.

The measure of angle CFE is calculated by applying the following formula.

The intersecting chord theorem, also known as the intersecting chords inside and outside theorem, is a geometric property that applies to chords (line segments that connect two points on the circumference of a circle) that intersect inside or outside a circle.

Based on the angle of intersecting chord theorem, we will have the following equation.

m∠CFE = ¹/₂( arc angle CE )

arc CE = 360 - 302 (sum of angles in a circle)

arc CE = 58⁰

m∠CFE = ¹/₂ x 58

m∠CFE = 29⁰

Learn more about chord angles here: brainly.com/question/23732231

#SPJ1