A car sales person makes $7.00 per hour plus $100.00 for every car sold. Which expression represents the amount in dollars the salesperson makes, before taxes, if x cars are sold in 40 hours?

Two triangles can be formed using the given measurements,

19. Triangle 1: A = 64°, B ≈ 53.07°, C ≈ 62.93°, a = 16, b ≈ 14.83, c ≈ 16.64

Triangle 2: A = 64°, B ≈ 126.93°, C ≈ 9.07°, a = 16, b ≈ 80.17, c ≈ 8.98

20. Triangle 1: A ≈ 52°, B = 38°, C ≈ 94°, a ≈ 22.57, b = b, c ≈ 34.60

Triangle 2: A ≈ 128°, B = 38°, C ≈ 14°, a ≈ 22.57, b = b, c ≈ 16.66

19. We are given angle A and the side opposite to it, a. We can use the law of sines to find the other sides and angles of the triangle:

a/sin(A) = b/sin(B) = c/sin(C)

b/sin(B) = a/sin(A)

b = a × sin(B)/sin(A)

b = 16 × sin(64°)/sin(180°-64°-90°)

b ≈ 14.83

c/sin(C) = a/sin(A)

c = a × sin(C)/sin(A)

c = 16 × sin(68°)/sin(64°)

c ≈ 16.64

Therefore, the two triangles are:

Triangle 1: A = 64°, B ≈ 53.07°, C ≈ 62.93°, a = 16, b ≈ 14.83, c ≈ 16.64

Triangle 2: A = 64°, B ≈ 126.93°, C ≈ 9.07°, a = 16, b ≈ 80.17, c ≈ 8.98

20. We are given angle B. Let the length of the side opposite to B be b. We can use the fact that the angles in a triangle add up to 180° to find angle A, and then use the law of sines to find the remaining sides and angles:

A = 180° - 90° - 38°

A = 52°

a/sin(A) = b/sin(B) = c/sin(C)

a/sin(52°) = b/sin(38°)

c/sin(C) = b/sin(38°)

c = b*sin(C)/sin(38°)

The angles in a triangle add up to 180°, so we have:

C = 180° - A - B

C ≈ 94°

Substituting the values of A, B, and C in the above equations, we get:

a ≈ 22.57

b = b

c ≈ 34.60

Therefore, the two triangles are:

Triangle 1: A ≈ 52°, B = 38°, C ≈ 94°, a ≈ 22.57, b = b, c ≈ 34.60

Triangle 2: A ≈ 128°, B = 38°, C ≈ 14°, a ≈ 22.57, b = b, c ≈ 16.66

Learn more about triangles at

https://brainly.com/question/2773823

#SPJ4

The question is -

In Exercises 19-22, two triangles can be formed using the given measurements.

Solve both triangles.

19. A = 64°, a = 16,

20. B 38°

The excel statement to estimate the test average of these 4 grades is -

An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.

To know more about the Microsoft Excel, here

https://brainly.com/question/23501096

#SPJ4

Both observed OR and true OR indicate that migraine headache is associated with increased odds of frequent cell phone use.

We know that,

Currently, In the studies of Migraine and cell phone use:

Researchers have observed that When we use our mobile phone more and more then there are higher chances of developing migraines and other symptoms.

Such as that cellular phones, has been found reason of an opening of the blood-brain barrier that separates the bloodstream from the brain and cerebral spinal fluid.

But, We know that,

Headaches have been associated with the opening of this barrier.

Hence the answer is, Both observed OR and true OR indicate that migraine headache is associated with increased odds of frequent cell phone use.

To learn more about surveys click here https://brainly.com/question/26851221

#SPJ4

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Step-by-step explanation:

For the real estate agent: To find percent of a number, you can just divide by 100 and times it by the percent number, in this case it is 3.

$575,000 / 100 = $5,750

$5750 * 3 = $17,250

The agent earns $17,250.

For the computer store: Use the percentage and multiply it by 0.45, or whatever the percentage is.

150 * 0.45 = 67.5. This is the markup.

Now add the original value back to the markup.

150 + 67.5 = 217.5. This is the selling price of the computer.

For the video game: Use the percentage and multiply it by 0.25, or whatever the percentage is.

$55 * 0.25 = $13.75. This is the discount.

Now subtract the discount from the first value.

$55 - $13.75 = $41.25. This is the sale price.

a) The general solution is y = t^4/4 + t^2/2 + A, b) The general solution is y = t^5/20 + t^3/6 + At + B, c) the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C   d) The general solution is y = 3t^2/4 + t + A/2

(a) To find the general solution of y′=4t^3+t, we need to integrate both sides of the equation with respect to t. This gives us:
y = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
So the general solution is y = t^4/4 + t^2/2 + A, where A is the first constant of integration.

(b) To find the general solution of y′′=4t^3+t, we need to integrate both sides of the equation twice with respect to t. This gives us:

y′ = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
y = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B

So the general solution is y = t^5/20 + t^3/6 + At + B, where A is the first constant of integration and B is the second constant of integration.

(c) To find the general solution of d^3x/dt^3=4t^3+t, we need to integrate both sides of the equation three times with respect to t. This gives us:
d^2x/dt^2 = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
dx/dt = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B
x = ∫(t^5/20 + t^3/6 + At + B)dt = t^6/120 + t^4/24 + At^2/2 + Bt + C

So the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C, where A is the first constant of integration, B is the second constant of integration, and C is the third constant of integration.

(d) To find the general solution of 2y′=3t+2, we need to integrate both sides of the equation with respect to t. This gives us:

2y = ∫(3t+2)dt = 3t^2/2 + 2t + A
y = (3t^2/2 + 2t + A)/2 = 3t^2/4 + t + A/2

So the general solution is y = 3t^2/4 + t + A/2, where A is the first constant of integration.

Learn more about the general solutions:https://brainly.com/question/30465681

#SPJ11

Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.

Each chart has the following three components:

1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.

2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.

3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.

These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.

In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.

Know more about control chart here,

https://brainly.com/question/32392066

#SPJ11

Answer:

300 dollars

Step-by-step explanation:

Note that:

{Peter's revenue on Monday: 150 dollars

Peter's revenue on Tuesday: 100 dollars

Peter's revenue on Wednesday: 50 dollars}

---------------------------------------------------------------

In this problem, we need to find how much is Peter's revenue so far (total).

We need to use addition to determine how much Peter's revenue is in total.

So, add 150, 100, and 50.

We get 150 + 100 + 50 = 300

Finally, Peter's revenue in total is 300 dollars.

Answer:

$300

Step-by-step explanation:

add 150+100+50

=300

The amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal. In order to determine how much tile is needed, you will need to measure the surface area of the pedestal.

The pedestal's dimensions are height, breadth, and length.

Multiply the height, width, and length of the pedestal to calculate the surface area.

Multiply the surface area by the number of tiles needed to cover the pedestal. To determine the number of tiles needed, divide the surface area by the area of each tile.

For example, if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long, the surface area is 16 square feet. If each tile has an area of 1 square foot, then it will take 16 tiles to cover the pedestal.

In conclusion, the amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal and the size of the tiles. To determine the amount of tile needed, measure the surface area of the pedestal and then multiply it by the number of tiles needed to cover the pedestal.

To learn more about pedestal visit:

https://brainly.com/question/22438352

#SPJ4

The pedestal's size and shape will determine how much tile is required to cover it. It will take 1176cm² of tiles to cover the pedestal.

You will need to measure the pedestal's surface area in order to figure out how many tiles you need. The height, width, and length of the pedestal are the same. To determine the surface area, multiply the pedestal's height, width, and length.

S = 2*s1 + s2 + 2*s3

= 96 + 480 + 600

= 1176

Divide the total number of tiles required to cover the pedestal by the surface area. Divide the surface area by the area of each tile to determine the required number of tiles.

The surface area, for instance, is 16 square feet if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long. 16 tiles will be required to cover the pedestal if each tile has a surface area of one square foot.

In conclusion, the dimensions of the tiles and the pedestal's size will determine how much tile is required to cover the pedestal. Multiply the surface area of the pedestal by the number of tiles required to cover it to find the required quantity of tiles.

Learn more about pedestals :

brainly.com/question/22438352

#SPJ4

Amount of interest on loan at Rimrock Bank, using ordinary interest at a rate of 15%, is $48,750 and at rate of 14.5%, is $47,125. In Southside National Bank , interest at a rate of 15%, is $49,500.

To compete with Rimrock Bank's offer, Southside National Bank would need to quote a rate of 14.38% using exact interest.                                    (a) To calculate the amount of interest on the loan at Rimrock Bank, we use the formula I = PRT, where I is the interest, P is the principal amount, R is the interest rate, and T is the time in years. Plugging in the values, we have I = $1,300,000 * 0.15 * (90/365) = $48,750.

(b) The amount of interest on the loan at Southside National Bank using exact interest is calculated the same way as in part (a), resulting in I = $1,300,000 * 0.15 * (90/360) = $49,500.                                                        (c) Similarly, using the same formula, we find the interest on the loan at Rimrock Bank with a rate of 14.5% to be I = $1,300,000 * 0.145 * (90/365) = $47,125.

(d) To determine the rate at which Southside National Bank should quote to compete with Rimrock Bank's last offer, we subtract the given interest difference of $1,125 from the interest calculated in part (b). Solving for R, we have $48,750 - $1,125 = $1,300,000 * R * (90/360). Solving this equation results in R ≈ 0.1438, which is 14.38% rounded to the nearest hundredth of a percent.

To learn more about Amount of interest click here : brainly.com/question/33352284

#SPJ11

The null hypothesis can be rejected at the 0.05 or 5 % level of significance according to Decision Rule.

The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental results are reliable. Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not. Or to put it another way, the null hypothesis is a hypothesis that assumes that the sample observations are the product of chance. It is claimed to be a claim made by surveyors who wish to look at the data. The symbol for it is H0.

Given :  n = 8          

\(\large \bar{X}=105.20 \\\\ \larg\frac{\sigma}{\sqrt{n}}=1.77 \\ \\ \large \alpha=0.05 \large \mu_0=100\)

a )  We want to find the 95% confidence interval for mean

Therefore ,

\(\large (105.20-Z_{0.05}*1.77,105.20+Z_{0.05}*1.77)\\\\\large (105.20-1.64*1.77,105.20+1.64*1.77)\\\\\large (105.20-2.9028,105.20+2.9028)\)

(102.2972,108.1028)

b )  Hypothesis :  

\(\large H_0:\mu=100 \\ \\ \large H_1:\mu\neq 100\)

The test statistic under H is given by ,

\(\large Z\rightarrow N(0,1)\\\\ \large Z =\frac{105.20-100}{1.77}\\\\ \large =\frac{5.20}{1.77}\\\\\large =2.9379\)

\(P value \large =P(Z > |Z_{cal}|)\)

=P(Z>2.9379)

=0.001652

Decision Rule :  If P value \(< \large \alpha\)  then reject  at  \(\large \alpha\) % level of significance accept otherwise

Here , P value = 0.001652 < \large \alpha = 0.05

Therefore , reject H at 5% level of significance.

Learn more about Null Hypothesis:

https://brainly.com/question/15980493

#SPJ4

Step-by-step explanation:

-12.8x + b = -3.2(4x - 2.1) + 2.4 =

= -12.8x + 6.72 + 2.4

b = 6.72 + 2.4 = 9.12

Answer:

Heyhey!!! How ya doing?

Step-by-step explanation:

I can feel it on my skin

It's coming down on me

teardrops on my face

Water like misery

Let it wash away my sins

It's coming down on me

Answer:

5.5 miles over 2 hours--> 5.5/2= 2.75 miles per hour was his average walking speed. 5.5 miles over 2.5 hours --> 5.5/2.5= 2.2 miles per hour on the return trip meaning that his average speed was (2.75-2.2= 0.55) 0.55 miles per hour lower on the return trip

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

Answer:

8 cm

Step-by-step explanation:

Congruent means same. so x is 8

The slope of the line containing the points A(-8,6) and B(11,2) is given as follows:

m = -0.2105.

The angle of the line is given as follows:

θ = -11.89º.

The two points on the line are given as follows:

A(-8,6) and B(11,2).

Given two points, the slope is obtained by the division of the change in y by the change in x, hence:

m = (2 - 6)/(11 + 8)

m = -0.2105.

The slope represents the tangent of the angle, hence the angle is the arc tangent of the slope, thus:

θ = arctan(-0.2105)

θ = -11.89º.

The problem asks for the slope and for the angle of the line containing points A and B.

More can be learned about the slope of a line at https://brainly.com/question/24808124

#SPJ1

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

20cm

Step-by-step explanation:

First, lets assign variables to the lenghts and widths:

width of blue = a

height of blue = b

width of green = c

height of green = d

Now, express all the provided information into equations

(1) a = 30

(2) c*d = 700

(3) a*b = 0.6 * 700

(4) b = 0.7 * d

Now, start substituting to find d:

Put (1) in (3):

30b = 0.6 * 700 => b = 0.6*700/30 = 14

Put b in (4):

14 = 0.7 * d => d= 14/0.7 = 20

So the height of the green rectangle is 20 cm.

The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

Learn more about variable here:

https://brainly.com/question/28248724

#SPJ11

The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

There are a total of 7 possible pairs of values for a and b that satisfy the equation a X b = 2026, such that a is less than b.

We are given that a and b are whole numbers such that a is less than b and a X b = 2026. We need to write down all possible pairs. Let's solve this step-by-step.We can factorize 2026 to obtain its prime factors;2 x 1013Since a is less than b, we know that;2 ≤ a ≤ 43 (the largest prime factor of 2026 is 43)1013 ≤ b ≤ 46 (since a < b and a × b = 2026, then b > 2026 / 43 = 47, and b can not exceed 46 since it is the second largest prime factor of 2026)

To write down all possible pairs, we can create a table with all the values of a and b that satisfy the equation a × b = 2026, such that a < b. Then, we fill in the corresponding values for a and b in each row.Possible pairs of a and b for a X b = 2026

2 101333 61714 14423 8814 2633 1 x 2026We can see that there are a total of 7 possible pairs of values for a and b that satisfy the equation a X b = 2026, such that a is less than b.

To know more about whole numbers visit :-

https://brainly.com/question/29766862

#SPJ11

If you perform multiple t-tests, the Type I error increases.

When conducting multiple t-tests, each individual test has a certain probability of committing a Type I error, which is the probability of incorrectly rejecting the null hypothesis when it is actually true. The standard threshold for Type I error is typically set at 5% (or 0.05).

However, when multiple tests are performed, the probability of committing at least one Type I error across all the tests increases. This is known as the problem of multiple comparisons or multiple testing.

The more tests you perform, the higher the likelihood of observing a significant result by chance alone, leading to an increased Type I error rate.

To address this issue, it is common to adjust the significance level (e.g., using Bonferroni correction) or conduct post hoc comparisons using methods such as Tukey's test or Bonferroni adjustment.

These methods help control the overall Type I error rate when multiple comparisons are made.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

Answer:

$100

Step-by-step explanation:

5 x 2 = 100

or

-5 x 20 = -100

Answer:

-100

Step-by-step explanation:

Answer:

162 unit²

Step-by-step explanation:

Refer to attachment.

Hope it helps :)

Nursing practice is constantly evolving and changing, which is why it is crucial to validate and refine existing knowledge while also generating new knowledge.

This allows nurses to stay up-to-date with the latest research and best practices, which ultimately improves patient outcomes. Validating existing knowledge involves critically examining current nursing practices and determining whether they are evidence-based and effective. If not, then nurses must refine their existing knowledge by incorporating new research findings into their practice. This process is vital to ensure that patients receive the highest quality of care possible.

Generating new knowledge is equally important as it allows nurses to discover new and innovative ways to improve patient care. This can be accomplished through research studies, clinical trials, and collaboration with other healthcare professionals. By generating new knowledge, nurses can contribute to the overall advancement of the nursing profession. Ultimately, the validation and refinement of existing knowledge and the generation of new knowledge are critical to improving nursing practice and ensuring that patients receive the best possible care.

To learn more about Generating:

https://brainly.com/question/29991539

#SPJ11

The solution set for the equation \(e^x\) = 15.49, expressed in terms of logarithms, is x ≈ ln(15.49).

To express the solution in terms of logarithms, we can take the natural logarithm (ln) of both sides of the equation. The natural logarithm of \(e^x\)is simply x, so we have ln(\(e^x\)) = ln(15.49). Applying the logarithmic property, we get x ln(e) = ln(15.49). Since ln(e) equals 1, the equation simplifies to x = ln(15.49).

Using a calculator to obtain a decimal approximation, we can find the value of ln(15.49) to be approximately 2.735. Therefore, the solution set for the equation \(e^x\)= 15.49, expressed in terms of logarithms, is x ≈ 2.735.

Learn more about logarithms here:

https://brainly.com/question/30226560

#SPJ11

he parametric equations are: \(x(t)\)= 100tcos(theta)

y(t) = \(-16t^2\) + 100tsin(theta) + 3

(a) To write the parametric equations for the path of the ball, we can use the following variables:

Considering the initial conditions, the equations can be defined as:

x(t) = 400t

y(t) = -16t^2 + 100t + 3

(b) To graph the path of the ball when θ = 15°, we substitute the value of θ into the parametric equations and plot the resulting curve. However, to determine if it's a home run, we need to check if the ball clears the 10-foot high fence. If the y-coordinate of the ball's path exceeds 10 at any point, it is a home run.

(c) Similarly, we graph the path of the ball when θ = 23° and check if it clears the 10-foot fence to determine if it's a home run.

(d) To find the minimum angle for a home run, we need to find the angle at which the ball's path reaches a maximum y-coordinate greater than 10 feet. We can solve for θ by setting the derivative of y(t) equal to zero and finding the corresponding angle.

Learn more about parametric

brainly.com/question/31461459

#SPJ11

Answer:

The new ribbon is 511.85 meter long.

The total cost Rs. 6142.2

Step-by-step explanation:

First of all we convert all lengths to the standard unit that is meter.

0.5 km =500 meter

1005 cm = 10.05 meter

1800 mm = 1.8 meter

total length in meters

500+10.05+1.8= 511.85

total cost at the rate of Rs. 12 per meter will be

511.85×12=6142.2

The length of the new ribbon is 511.85m.

The cost of the single ribbon formed is Rs. 6142.20.

Common units of length are Millimeter(mm), centimeter(cm), meter(m), and kilometer(km).

The S.I. unit of length is the meter.

All units relate to the meter in the following way:

1000mm = 1m ⇒ 1mm = 1/1000m ⇒ 1mm = 0.001m

100cm = 1m ⇒ 1cm = 1/100m ⇒ 1cm = 0.01m

1km = 1000m

The lengths of three pieces of ribbon are given as 0.5km, 1005cm, and 1800mm.

We are asked to find the length of the ribbon formed by joining these 3 ribbons.

To find the total length, we need to add them, but to add we need lengths in equal units. So we convert the three lengths into the common unit meter.

0.5km = 0.5 * 1000 m = 500m (∵ 1km = 1000m)

1005cm = 1005 * 0.01m = 10.05m (∵ 1cm = 0.01m)

1800mm = 1800 * 0.001m = 1.8m (∵ 1mm = 0.001m)

∴ The length of the new ribbon = 500 + 10.05 + 1.8 m = 511.85m.

Cost of the ribbon = Rs. 12 per meter

∴ Cost of the single ribbon formed = Rs. 12 * 511.85 = Rs. 6142.20.

Learn more about Length Conversion at

https://brainly.com/question/11031400

#SPJ2

Answer: a

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

obtaining food