Reid's Hardware discounts all riding lawnmowers 9% to customers paying in cash. If Trey paid $1,517.74 in cash for a riding lawnmower, which of the following equations can be used to determine the original price of the lawnmower?

(Let x represent the original price of the lawnmower and y represent the discounted price.)
A.
y = 1.09x
B.

y = 0.91x
C.
y = 1.9x
D.
y = x - 9x

The slope of the tangent line at the point (x,y) is -x/(2y). The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0).

The rate of change of a curve at a certain position is represented by the slope of a tangent line to the curve at that location. In other words, it indicates whether the curve is steep or shallow at that particular location. Calculating the derivative of a function in calculus also requires estimating the slope of a tangent line, which is a crucial step. We may determine the slope of the tangent line and subsequently the derivative of the function at a location by determining the limit of the slope of a secant line as the two points on the line approach closer and closer together.

The equation of the ellipse is x²)/16 +y²/4=1.

We take the derivative of the equation with respect to xto find the slope:

x²/16 + y²/4 = 1

(x²/16)' + (y²/4)' = 1'

2x/16 + 2y/4 * dy/dx = 0

dy/dx = -x/(2y)

When the denominator of 2y equals 0, there are some locations where the slope is not specified. The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0), and all locations on the x-axis between these two points when y = 0, which occurs.

Hence, the slope of the tangent line at the point (x,y) is -x/(2y). The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0).

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The  term which is to be filled in the sentence given in the question is numerical.

Given the antiderivatives of many ----------------- directly, we resort to various techniques of ________ integration to approximate their values.

We have to fill the blank in the sentence given with appropriate term.

Integration is a technique of finding a function from it's derivative.

Definite integral is the area under a curve between two limits. We have to find the answer by first putting upper limit and then lower limit. Then we have to subtract the answer from lower limit from the answer of upper limit.

In Indefinite integration we have not given any limits.

Numerical integration, a algorithm for calculating the numerical value of a definite integral.

Hence the term for the sentence is numerical integration.

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It's always recommended to consult with a payroll professional or accountant for net pay to insure delicacy and compliance with applicable laws and regulations.

To calculate the net pay for workers of Mountain Stone Brewery in Fort Collins, Colorado, we will use the handed information and apply the chance system for homemade payroll systems.

First, let's calculate the civil income duty using the Form 4 from 2020 or latterly. We'll assume Box 2 isn't checked for any hand.

Hand S( Bergstrom)

caparison per period$ 50

Taxable net pay$ 1,810-$ 50 = $ 1,760

Civil income duty( using Form 4)$ 1,760 *0.15 = $ 264

Hand C( Pare)

caparison per period$ 0

Taxable pay$ 3,780

Civil income duty( using Form 4)$ 3,780 *0.15 = $ 567

Hand L( Van der Hooven)

caparison per period$ 120

Taxable pay$ 3,505-$ 120 = $ 3,385

Civil income duty( using Form 4)$ 3,385 *0.15 = $507.75

Hand S( Lightfoot)

caparison per period$ 240

Taxable pay$ 3,130-$ 240 = $ 2,890

Civil income duty( using Form 4)$ 2,890 *0.15 = $433.50

Hand Filling

caparison per period$ 75

Taxable pay$ 100

Civil income duty( using Form 4)$ 100 *0.15 = $ 15

Next, let's calculate the Colorado income duty, which is4.55 of the taxable pay.

Hand S( Bergstrom)

Colorado income duty$ 1,760 *0.0455 = $80.08

Hand C( Pare)

Colorado income duty$ 3,780 *0.0455 = $172.29

Hand L( Van der Hooven)

Colorado income duty$ 3,385 *0.0455 = $154.14

Hand S( Lightfoot)

Colorado income duty$ 2,890 *0.0455 = $131.80

Hand Filling

Colorado income duty$ 100 *0.0455 = $4.55

Eventually, let's calculate the net pay by abating the civil and state income duty, union pretenses , and beautifiers from the gross pay.

Hand S( Bergstrom)

Net pay = $ 1,810-$ 264-$80.08-$ 50 = $ 1,415.92

Hand C( Pare)

Net pay = $ 3,780-$ 567-$172.29-$ 0 = $ 3,040.71

Hand L( Van der Hooven)

Net pay = $ 3,505-$507.75-$154.14-$ 120 = $ 2,723.11

Hand S( Lightfoot)

Net pay = $ 3,130-$433.50-$131.80-$ 240 = $ 2,324.70

Hand Filling

Net pay = $ 100-$ 15-$4.55-$ 75 = $5.45

Please note that the computations handed above are grounded on the given information and hypotheticals. It's always recommended to consult with a payroll professional or accountant to insure delicacy and compliance with applicable laws and regulations.

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Answer:

D) 53°

Step-by-step explanation:

Angles AEB and BEC are supplementary.

Step 1: Subtract 127 from both sides.

Therefore, the answer is 53°.\(x+127-127=180-127\)

Answer:

Step-by-step explanation:

(4/3)^-2 = 9/16  

Since (4/3)^2 is 16/9 you will need to flip it since the power is a negative. Hope this helps.

Answer:

2

Step-by-step-

It would equal both the numbers combined

Step-by-step explanation:

out of the total possibilities of 20 student council members, 8 are in Nina's math class, and 6 are in Nina's science class.

as I understand the given information, out of these 14 council members, 4 are in her math and in her science class. but this is then irrelevant for the question (and do not add more possibilities), as these 4 are already covered by the 8 and 6 in her individual classes.

remember, a probability is always

desired cases / possible cases

so, let's pick the first random choice :

the probabilty to pick one that is either in her math or her science class is

14/20 = 7/10

because there are 20 total possibilities to pick from, and 14 of these 20 are in at least one of her classes.

now let's pick the second one.

I assume the first pick has not been returned to the pool and cannot be picked a second time.

so, this time we have therefore only 19 total choices, and 13 of them are in at least one of Nina's classes.

so, the probability for the second pick is

13/19

so, the probability that both picks are in at least one of her classes is then the combination of both probabilities (they have to happen together) :

7/10 × 13/19 = 91/190 = 0.478947368...

The gas temperature at which heat loss is maximized is 375.92 F and the maximum heat loss is 2.58 Btu/ft^2

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The equation of the function is given as

g =-0.000027T^2 + 0.0203T-1.24

Where T represents the temperature

Differentiate the function g=-0.000027T^2 + 0.0203T-1.24

So, we have

g' = -0.000054T + 0.0203

Set the function to 0

So, we have

-0.000054T + 0.0203 = 0

This gives

-0.000054T = -0.0203

Divide through by -0.000054

So, we have

T = 375.92

Hence, the gas temperature at which heat loss is maximized is 375.92 F

Substitute T = 375.92 in g =-0.000027T^2 + 0.0203T-1.24

So, we have

g = -0.000027 * (375.92)^2 + 0.0203 * 375.92 - 1.24

Evaluate

g = 2.58

Hence, the maximum heat loss is 2.58 Btu/ft^2

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Answer:

The answer is D: -y^4

Step-by-step explanation:

(-1/y^-4) = -1(y^4)/1 = -y^4

The volume of the rectangular prism with a height of 7m, width of 6m, and length of 7m is 294 cubic meters.

To calculate the volume of a rectangular prism, we multiply the length, width, and height together. In this case, the height is 7m, the width is 6m, and the length is 7m.

Using the formula for the volume of a rectangular prism:

Volume = Length × Width × Height

Substituting the given values:

Volume = 7m × 6m × 7m

Calculating the product:

Volume = 294m^3

Therefore, the volume of the rectangular prism is 294 cubic meters.

The volume of a three-dimensional object represents the amount of space it occupies. In the context of a rectangular prism, the volume tells us how much three-dimensional space is enclosed within its boundaries. The unit for volume is cubic meters, which signifies a measure in three dimensions (length, width, and height) all expressed in meters.

In this specific case, with a height of 7m, width of 6m, and length of 7m, the resulting volume is 294 cubic meters. This means that the rectangular prism occupies a space equivalent to 294 cubes with each side measuring 1 meter.

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Answer:

30

Step-by-step explanation:

12-3= 9

75-48= 27

This is quadratic because it is like saying what is in between 9 and 27.

So the pattern is 9, 18, 27

so 12-3= 9

30-12= 18

48-30= Also 18

75-48= 27

Hope this helped :)

Answer:$0.52

Step-by-step explanation:

- In year 2000, the total population will be 1,642,000 people.

- In year 2002, the total population will be 1,629,000 people

This is Based on rate of change.

The table showing the average rate of change is missing and so i have attached it.

From the year 1990 to the year 2000, the average rate of change is -3,700 people per year.

This means that for 10 years which is From the year 1990 to the year 2000, the new population will be;

1,679,000 - 10(3700) = 1,642,000 people

Thus, in year 2000, the total population will be 1,642,000 people.

2 years which is from the year 2000 to the year 2002, the new population will be;

1,642,000 - 2(6500) = 1,629,000 people

Thus, in year 2002, the total population will be 1,629,000 people

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Answer:

Graph 1

Step-by-step explanation:

Graph one has a slope of 3/1 or 3, and Graph 2 has a slope of 1/3

Answer:

100$

Step-by-step explanation:

20 %of 500 =20×500:100 =10.000 :100 =100$

The commission earned on the sale of $1253.70 is $233.20

A fee paid to an agent or employee for transacting a piece of business or performing a service is called commission.

Given that, there is a commission of 18.6% on the sale of $1253.70

Therefore,

The commission earned = 1253.70 × 18.6%

= 1253.70 × 18.6 / 100

= 233.20

Hence, the commission earned on the sale of $1253.70 is $233.20

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If the dimensions of a right rectangular prism are (8)/(5)cm,(10)/(3)cm, and (7)/(4)cm. Then volume of the prism is 401/60 cm³

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases

The dimensions of a right rectangular prism are width is 8/5 cm, Length is 10/3cm and Height is 7/4cm

Volume=Width×Height×Length

=8/5×10/3×7/4

=96+200+105/60

=401/60 cm³

Hence volume of the right rectangular prism is 401/60 cm³

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Answer: 120

Step-by-step explanation:

Given: A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles.

The total number of marbles in the bag : 2+2+1+5+6=16

Now, the number of ways of selecting sets of four marbles include one of each color other than lavender is

\(\( C(2,1) \times C(2,1) \times C(5,1) \times C(6,1)=2 \times 2 \times 5 \times 6\)=120\)  [\(\because\ C(n,1)=n\)]

Hence, the number of sets of four marbles include one of each color other than lavender = 120

The probability that the mean blood pressure of 64 randomly selected people will be less than 118 is approximately 0.9938.

You want to find the probability that the mean blood pressure of 64 randomly selected people will be less than 118, given that blood pressure readings are normally distributed with a mean of 116 and a standard deviation of 6.4.

Step 1: Calculate the standard error of the mean (SEM).
\(SEM=\frac{standard deviation}{\sqrt{sample size} }\)
\(SEM=\frac{6.4}{\sqrt{64} }\)
\(SEM=\frac{6.4}{8}\)
\(SEM = 0.8\)

Step 2: Calculate the z-score for the given value (118) using the formula:
\(z = \frac{X-mean}{SEM}\)
\(z = \frac{118-116}{0.8}\)
\(z=\frac{2}{0.8}\)
z = 2.5

Step 3: Use the z-score to find the probability (area under the curve to the left of z).
From the z-table or using an online z-score calculator, the probability for a z-score of 2.5 is approximately 0.9938.

So, the probability that the mean blood pressure of 64 randomly selected people will be less than 118 is approximately 0.9938.

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Answer:

(x-10)(5x+2)

Step-by-step explanation:

this is the answer of the question.you can clearly see in the pic of the solution

Answer:

1. 12

2. 6

3. 8

4. 20

5. 4

Step-by-step explanation:

1. 60/5= 12

The sky diver fall 12 feet per second.

2. 42/7=6

The pump will move 6 gallons per minute.

3. 48/6=8

He scored 8 points every game.

4.  60/3=20

20 miles were driven every gallon.

5. 12/3=4

 She walked 4 miles every 1 hour.

The number of group formed was 4.

Division is breaking a number up into an equal number of parts.

Given that, A football team is divided into groups of 7 people in training and performs short passing exercise, there are 30 football players in the football team,

When we divide 30 by 7 we get 4 with 2 as remainder.

That mean, there will be 4 groups formed with two persons left.

Hence, The number of group formed was 4.

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Answer:

x=9

y=5

Step-by-step explanation:

u 1 multiple equation 1 by -3

and sum the equation at L.H.S =R.H.S

The tax that Jona should pay is $4.87 and if she wants to leave a 20% tip then she should leave $13.4.What is Subtotal?

Subtotal refers to a part of the total amount that has already been calculated.It is the sum of values before applying taxes or any other charges.

What is a Rate?

A rate is the ratio between two numbers with different units. It is usually denoted using a colon between the two numbers or as a fraction.

What is Decimal?

A decimal is a number system that represents numbers using a base of 10. It uses ten digits from 0 to 9 to represent numbers. Each digit in a decimal has a place value.

Given:

Tax amount: $4.87

Tip percentage: 20%

Subtotal: Unknown

To calculate the subtotal, we can use the information provided.

Step 1: Calculate the subtotal using the tax amount and tax rate.

Let's assume the tax rate is represented by the variable 'r'.

Tax amount = Subtotal * (r/100)

$4.87 = Subtotal * (r/100)

Step 2: Calculate the tip amount using the subtotal and tip percentage.

Let's assume the tip amount is represented by the variable 't'.

Tip amount = Subtotal * (20/100)

$13.4 = Subtotal * (20/100)

Now we have two equations:

$4.87 = Subtotal * (r/100)

$13.4 = Subtotal * (20/100)

To solve these equations simultaneously and find the value of the subtotal, we need the value of the tax rate 'r'.

If you have the value of the tax rate, please provide it so that I can assist you further in calculating the subtotal.

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Answer:

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

Step-by-step explanation:

A simple interest rate account yields a return that follows the formula below:

\(return = C + C*r*t\)

Where C is the invested money, r is the interest rate and t is the elapsed time in years.

While a compound interest rate account yields a return that follows the formula below:

\(return = C*e^{r*t}\)

Therefore for the Simply Saving Bank she'll earn:

\(return_{1} = 200 + 200*0.1*5\\return_{1} = 200 + 100\\retrun_{1} = 300\)

While the Capital Bank she'll earn:

\(return_2 = 200*e^{0.08*5}\\return_2 = 200*e^{0.4}\\return_2 = 200*1.49182\\return_2 = 298.364\)

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

The complexity, reliability, and context of the evidence collected are some of the reasons why it is not possible to define a simple analytical scheme that can be applied to all types of evidence.

There are several reasons why it is not possible to define a simple analytical scheme that can be applied to all types of evidence.

Firstly, different types of evidence require different analytical techniques, as they have varying degrees of complexity. For example, analyzing DNA evidence requires a different set of analytical tools compared to analyzing physical evidence like fingerprints or footprints.

Secondly, the reliability of the evidence also plays a significant role in the analytical scheme. Some types of evidence may be more subjective than others, and the interpretation of the results may be open to bias or misinterpretation. In such cases, a simple analytical scheme may not provide accurate or reliable results.

Finally, the context in which the evidence is collected also plays a crucial role in determining the analytical scheme. The location, timing, and circumstances of the evidence collection may affect the reliability and accuracy of the results. Therefore, a simple analytical scheme may not be able to accommodate all the variables and nuances of the evidence collected in different contexts.

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False - should be 7 root 5

Step-by-step explanation:

y = hypotenuse, longest side (so, it's the value of c)

Using the value of x (21) & y as (14) in the equation a^2 + b^2 = c^2

I get the value of 7 root 3 as shown above, to be 7 root 5 instead.

I know part of the question is cut off, but I'm sure that it's asking you to prove wrong or right if the triangle could be a right-angle triangle (with right measurements) & it's one because the last missing angle is 90 degrees.

(Root means square root)

Hope this helps!

Answer:

(5, 2)

Explanations:

When an object A(x, y) is rotated 90º counterclockwise about the origin, the image of the rotated figure will become A'(-y, x)

Therefore, when the object of coordinates (2, -5) is rotated 90º couterclockwise about the origin, the coordinates of the image become:

(-(-5), 2) = (5, 2)

Answer:

It's the second one!

Step-by-step explanation: Let me know if you're looking for this :)

Answer:

t can be any whole number where 0<- t <75

Step-by-step explanation: