Michelle bought a computer that was 25% off the regular price of $980. If a 6% sales tax was added to the cost of the computer, what was the total price Michelle paid for the computer?

Answer:

9,000

Step-by-step explanation:

it you count with time by ×it would be 9,000 because just add that up with money

Answer:The range rule of thumb states that the standard deviation (s) is approximately equal to the range (R) divided by 4, where the range is the difference between the maximum and minimum values of a data set.

Using this formula, we can estimate the standard deviation of the heights as:

s = R / 4 = (192.5 - 152.0) / 4 = 20.625 / 4 = 5.156 cm

Comparing this estimate to the actual standard deviation of 12.22 cm, we see that the estimate is off by a factor of approximately 2.37.

Since the estimate is not within 1.7 cm of the actual standard deviation, it suggests that the range rule of thumb is not a very accurate way to estimate the standard deviation of this data set. The standard deviation calculated using the full set of data is much larger than the estimate, which means that the spread of the data is greater than what would be expected based on the range rule of thumb.

Answer:

50 – (11n – 5n)

Step-by-step explanation:

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

\(\textsf{1)}\quad y = \dfrac{4}{3}x-\dfrac{13}{3}\)

\(\textsf{2)} \quad y = \dfrac{3}{2}x-6\)

Step-by-step explanation:

To find the equation of a line parallel to the line joining (1, 2) and (-2, -2) and passing through (4, 1), we first need to find the slope of the line joining (1, 2) and (-2, -2).

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-2}{-2-1}=\dfrac{-4}{-3}=\dfrac{4}{3}\)

Parallel lines have the same slope, so the slope of the parallel line is m = 4/3.

Substitute the found slope and point (4, 1) into the point-slope formula:

\(\begin{aligned} y - y_1 &= m(x - x_1)\\\\y - 1 &= \dfrac{4}{3}(x - 4)\\\\y - 1 &= \dfrac{4}{3}x-\dfrac{16}{3}\\\\y &= \dfrac{4}{3}x-\dfrac{13}{3}\end{aligned}\)

Therefore, the equation of the line parallel to the line joining (1, 2) and (-2, -2) and passing through (4, 1) is:

\(\boxed{y = \dfrac{4}{3}x-\dfrac{13}{3}}\)

\(\hrulefill\)

To find the equation of a line perpendicular to the line joining (2, -3) and (-1, -1) and passing through (2, -3), we first need to find the slope of the line joining (2, -3) and (-1, -1).

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-(-3)}{-1-2}=\dfrac{2}{-3}=-\dfrac{2}{3}\)

The slopes of perpendicular lines are negative reciprocals, so the slope of the parallel line is m = 3/2.

Substitute the found slope and point (2, -3) into the point-slope formula:

\(\begin{aligned} y - y_1 &= m(x - x_1)\\\\y - (-3) &= \dfrac{3}{2}(x - 2)\\\\y+3&= \dfrac{3}{2}x-3\\\\y &= \dfrac{3}{2}x-6\end{aligned}\)

Therefore, the equation of the line perpendicular to the line joining (2, -3) and (-1, -1) and passing through (2, -3):

\(\boxed{y = \dfrac{3}{2}x-6}\)

what if multiple twenty times four it gives you twenty eight

Answer: 40.16

Step-by-step explanation:

The length of the side AC will be 12.28 units. The correct option is C.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that the hypotenuse of the triangle is 42 and the angle B is 17 degrees.

The side AC will be calculated as below:-

sin(47) = P / 42

AC = 42 x sin42

AC = 12.27

Therefore, the length of the side AC will be 12.28 units. The correct option is C.

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The absolute minimum of the function is f ( -10 ) = -1

Given data ,

Let the function be represented as f ( x )

Now , the function f ( x ) is plotted on the graph

where the minimum of a function is the smallest value that the function takes on over its entire domain.

It is the point on the graph of the function that is the lowest possible point

So , the function has the minimum value of - 1 at the point x = -10

Hence , the minimum of function is f ( -10 ) = -1

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The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, an equation 2x - y = 4 now if  (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.

when x = 3,

2(3) - y = 4.

6 - y = 4.

- y = 4 - 6.

- y = - 2.

y = 2.

So,  (3, - 2) is not a solution to an equation 2x - y = 4.

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Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Thus, the binomial distribution is appropriate.

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Answer:

Step-by-step explanation:

The answer depends on the units of power given. If the 5hp engine refers to a horsepower rating, then the answer is not one of the options given, but can be calculated using the conversion factor:

1 horsepower = 550 foot-pounds per second

Therefore, 5 horsepower = 5 x 550 = 2,750 foot-pounds per second

If the options given refer to work done over a certain time period, then it's not possible to determine the speed at which work can be done by a 5hp engine without more information.

Answer:

So the answer is 2,750 ft-lbs.

Step-by-step explanation:

One horsepower is equal to 550 foot pounds per second. Therefore, a 5 horsepower engine can do work at a rate of:

5 hp * 550 ft-lbs/sec = 2,750 ft-lbs/sec

So the answer is 2,750 ft-lbs.

The Rate of the motorboat in still water is 8 miles per hour, and the rate of the current is 2 miles per hour.

To solve this problem, let's denote the rate of the motorboat in still water as "b" and the rate of the current as "c".

When Juana is going upstream, she is going against the current, so her effective speed is reduced. The formula for the time it takes to travel a certain distance is distance divided by speed. Therefore, for the upstream trip:

Time = Distance / (Boat's speed - Current's speed)

5 = 30 / (b - c)   -- (1)

On the return trip downstream, Juana is going with the current, so her effective speed is increased. Therefore, for the downstream trip:

Time = Distance / (Boat's speed + Current's speed)

3 = 30 / (b + c)   -- (2)

We now have a system of two equations with two variables. We can solve this system to find the values of "b" and "c".

First, let's solve equation (1) for (b - c):

5 = 30 / (b - c)

(b - c) = 30 / 5

(b - c) = 6   -- (3)

Next, let's solve equation (2) for (b + c):

3 = 30 / (b + c)

(b + c) = 30 / 3

(b + c) = 10  -- (4)

Now, we have two equations (3) and (4) that represent the sum and difference of (b + c) and (b - c) respectively. We can solve this system of equations to find the values of "b" and "c".

Adding equations (3) and (4), we get:

2b = 6 + 10

2b = 16

b = 8

Substituting the value of "b" back into equation (3), we get:

(8 - c) = 6

c = 8 - 6

c = 2

Therefore, the rate of the motorboat in still water is 8 miles per hour, and the rate of the current is 2 miles per hour.

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The vertex of point Z should be plotted at the location of the intersection of points W and Y for the rectangle WXYZ.

Given that the point W, X, and Y illustrate three vertices of rectangle WXYZ.

Using the properties of a rectangle to find the location of point Z,

As we know that a rectangle has two pairs of parallel sides, four right angles, and opposite sides that are congruent.

So, to plot point Z, we have to extend the line segments from points W and Y until they intersect.

The intersection of those lines will give us point Z, which will be the fourth vertex of the rectangle.

The intersection of points W and Y outcomes point Z, which is the rectangle's fourth vertex.

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Answer:

B and D.

Step-by-step explanation:

4(2n) + n

= 8n + n

= 9n.

\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)

\( \large\underline{ \boxed{ \sf{✟\:Important\: point's✟ }}}\)

→ Your given expression:- 4(2n)+n

☆ Hence option b (9n) is right ans

\(\pink{\underline{ \underline{ \boxed{ \sf{✰\: Option.\:B✓ }}}}}\)

Hope it helps !

The greatest common divisor of 5! and 7! is 840.

To find the greatest common divisor (GCD) of 5! and 7!, we need to calculate the prime factorization of both numbers.

First, let's calculate the prime factorization of 5!:

5! = 5 * 4 * 3 * 2 * 1 = 120.

The prime factorization of 120 is 2^3 * 3 * 5.

Now, let's calculate the prime factorization of 7!:

7! = 7 * 6 * 5! = 7 * 6 * 120 = 5040.

The prime factorization of 5040 is 2^4 * 3^2 * 5 * 7.

To find the GCD of 5! and 7!, we need to find the common factors in their prime factorizations. We take the smallest exponent for each prime factor that appears in both factorizations.

From the prime factorizations above, we can see that the common factors are 2^3, 3, 5, and 7. Multiplying these factors together gives us:

GCD(5!, 7!) = 2^3 * 3 * 5 * 7 = 8 * 3 * 5 * 7 = 840.

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REmember that

the surface area of a cylinder is equal to

SA=2(pi)r^2+2(pi)(r)(h)

we have

r=3 yd

h=12 yd

substitute

SA=2(pi)3^2+2(pi)(3)(12)

SA=18pi+72pi

SA=90pi yd2

Therefore, P(K|J) is equal to 1/5 in its simplest form.

What is fraction?

A fraction is a mathematical expression that represents a part of a whole. It is written in the form of one integer (the numerator) divided by another integer (the denominator), separated by a horizontal line. For example, the fraction 2/5 represents two parts out of a total of five parts.

The numerator represents the number of parts we are interested in, while the denominator represents the total number of equal parts that make up the whole. Fractions can be proper (the numerator is less than the denominator), improper (the numerator is greater than or equal to the denominator), or mixed (a whole number and a fraction together). Fractions are used in a wide range of mathematical operations, such as addition, subtraction, multiplication, and division.

by the question.

We can use the formula P(B/A) = P(B∩A)/P(A) to calculate P(KJ), where A is the event that J occurs, and B is the event that K and J occur.

First, we need to find P(K|J∩N). We can use the formula P(JNK) = P(KJ∩N)/P(J) to find this value.

\(P(K|J∩N) = P(JNK) * P(J) = (1/5) * (3/7) = 3/35\)

Next, we need to find P(J) = 3/7.

Finally, we can use the formula P(K|J) = P(K|J∩N)/P(J) to find P(KJ):

\(P(K|J) = P(KJ∩N)/P(J) = (3/35) / (3/7) = (3/35) * (7/3) = 1/5\)

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Step-by-step explanation:

a. d = m/v

m = d × v

b. m = d × v

= 5.01g/cm × 1.2cm

= 6.012g

hopefully this makes sense

:)

The mass of pyrite sample in grams will be -  6.012 grams

We have a marble whose volume is 1.2 cubic centimeter and density is 5.01 g/cm. A relation - density d of a substance is given by the formula

d = m/v is also provided.

We have to determine its mass.

The solid state of matter has the highest density because the constituent particles are fixed and not allowed to move inside the solid. Moreover, they are bonded very close to each other.

According to the question -

Density - 5.01g/cm

Volume - 1.2cm.

Using the formula mentioned above, we get -

\($\rho = \frac{M}{V}\)

Rearranging the formula, we get -

M = ρV

M = 5.01 x 1.2 = 6.012 grams

Hence, the mass of pyrite sample in grams will be -  6.012 grams

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Answer:

34 minutes

Step-by-step explanation:

Method I - set up a proportion

t/17 = 2/60

multiply both sides by 17

t = 2/60 * 17

t = 0.5666666667 hr

in minutes

0.5666666667 hr * 60min/hr

34 minutes

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

Method II - rate

2 hours = 120 minutes

r = 120min / 60pages

r = 2 min / page

for 17 pages

t = 1 min / page * 17 pages

t = 34 minutes

5x = 12 + 3

5x = 15

\(x = \frac{15}{5} \\ \)

x = 3

Answer:

3

Step-by-step explanation:

5x-3=12

5x=12+3

5x=15

x=15/5

x=3

Answer:

There are no student waiting to ask questions

Step-by-step explanation:

The number of students that arre

The arrival rate of the student, λ = 15/hr

The number of minutes spent per student, W = 3 minutes

The number of students waiting to ask questions, 'L', is given by Little's law as follows;

L = λ·W

Where;

L = The number of students in the system

λ = The arrival rate = 15 students/hour

W = The average time spent in the system = 3 minutes = 1/20 hour

∴ L = 15 student/hour × (1/20) hour = 3/4 Students

Given that the number of students waiting to ask questions is a fraction, less than 1, we round down, and there are therefore no student waiting to ask questions

Answer

Option D is correct.

y = 2x - 2

Explanation

The key to picking the right equation that fits the data in the table is to check each of the options.

Option A

y = 2x

when x = -3,

y = 2x

y = 2(-3)

y = -6

-6 ≠ - 8

Hence, this option is not correct.

Option B

y = 2x + 2

when x = -3,

y = 2x + 2

y = 2(-3) + 2

y = -6 + 2 = -4

-4 ≠ - 8

Hence, this option is not correct.

Option C

y = -2x + 2

when x = -3,

y = -2x + 2

y = -2(-3) + 2 = 6 + 2

y = 8

8 ≠ - 8

Hence, this option is not correct.

Option D

y = 2x - 2

when x = -3

y = 2 (-3) - 2

y = -6 - 2

y = -8

-8 = -8

This is the correct option.

Hope this Helps!!!

Answer:

The scaled surface area of a square pyramid to the original surface area.

The scaled area of a triangle to the original area.

Step-by-step explanation:

Suppose that we have a cube with sidelength M.

if we rescale this measure with a scale factor 8, we get 8*M

Now, if previously the area of one side was of order M^2, with the rescaled measure the area will be something like (8*M)^2 = 64*M^2

This means that the ratio of the surfaces/areas will be 64.

(and will be the same for a pyramid, a rectangle, etc)

Then the correct options will be the ones related to surfaces, that are:

The scaled surface area of a square pyramid to the original surface area.

The scaled area of a triangle to the original area.

Answer:

Answer is 20

Step-by-step explanation:

4-4(-4) is = 20!

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