Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The opposite expression of "-2a + 5c" is "5c - 2a".

To rewrite the expression "-2a + 5c" using the guidelines opposite, we will reverse the steps taken to simplify the expression.

Reverse the order of the terms: 5c - 2a

Reverse the sign of each term: 5c + (-2a)

After following these guidelines, the expression "-2a + 5c" is rewritten as "5c + (-2a)".

Let's break down the steps:

Reverse the order of the terms

We simply switch the positions of the terms -2a and 5c to get 5c - 2a.

Reverse the sign of each term

We change the sign of each term to its opposite.

The opposite of -2a is +2a, and the opposite of 5c is -5c.

Therefore, we obtain 5c + (-2a).

It is important to note that the expression "5c + (-2a)" is equivalent to "-2a + 5c".

Both expressions represent the same mathematical relationship, but the rewritten form follows the guidelines opposite by reversing the order of terms and changing the sign of each term.

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TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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Researchers engage in experimentation to exercise maximum control over the factors they are interested in studying.

Generally, experimenter trials are used to control the study's variables. The experimental approach entails changing one variable to see if it affects another variable. This approach uses controlled exploration methods and arbitrary subject selection to test a thesis.

For illustration, experimenters might be interested in changing how colorful visual patterns may affect our perception. They might also consider whether specific actions can enhance memory. Multitudinous behavioral issues are the subject of trials, some of which include cognition, emotion, memory, perception, and sensation.

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Answer:

U: No

X: Yes

P: No

Step-by-step explanation:

If the value of determinant a is 3, determinant b is 5 then the value of determinant ab is 15.

Given that the value of determinant a is 3, determinant b is 5.

We are required to find the value of determinant ab.

Determinant of a matrix is the scalar value computed for a given square matrix.It means the matrix which is not square does not have a determinant value.  It is denoted by IAI.

We know that,

IaI*IbI=IabI

So we have to just put the values in the above formula to get the determinant of ab.

IabI=3*5

=15

Hence if the value of determinant a is 3, determinant b is 5 then the value of determinant ab is 15.

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Answer:

0.25

Step-by-step explanation:

0.25-0=0.25

If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

To calculate the monthly payment for each financing option, we'll use the information provided:

1. 0% financing for 48 months:

Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.

Purchase Price: $26,050

Number of Months: 48

Monthly Payment = Purchase Price / Number of Months

Monthly Payment = $26,050 / 48 ≈ $543

Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.

2. Rebate offer and car loan at the bank:

If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:

Purchase Price: $26,050

Rebate Offer: $2,900

Remaining Balance = Purchase Price - Rebate Offer

Remaining Balance = $26,050 - $2,900 = $23,150

Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:

Remaining Balance: $23,150

Interest Rate: 5.24% (compounded monthly)

Number of Months: 48

Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

First, let's calculate the Monthly Interest Rate:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5.24% / 12 ≈ 0.437%

Now, we can calculate the Monthly Payment using the formula mentioned above:

Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))

Monthly Payment ≈ $557

Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

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Answer:

a = 16    b = 4    c = 8     d = 16

e = 12    f = 36   g = 64

Step-by-step explanation:

a.

Equation =   \(y_x = 4x^{2} \\x = 1\\y_1 = 4(1)^{2} \\y_1 = 4^{2} \\y_1 = 16 \\\)

b.

Equation:      \(y_x = 4^{x} \\x = 1\\y_1 = 4^{1}\\y_1 = 4\)

c.

Equation:      \(y_x = 4x\\x = 2\\y_2 = 4(2)\\y_2 = 8\)

d.

Equation:      \(y_x = 4^{x}\\x = 2\\y_2 = 4^{2}\\y_2 = 16\)

e.

Equation:      \(y_x = 4x\\x = 3\\y_3 = 4(3)\\y_3 = 12\)

f.

Equation:      \(y_x = 4x^{2} \\x = 3\\y_3 = 4(3)^{2} \\y_3 = 4(9)\\y_3 = 36\)

g.

Equation:      \(y_x = 4^{x}\\x = 3\\y_3 = 4^{3}\\y_3 = 64\)

The missing values for the function are

a= 4

b=4

c=8

d=16

e=12

f= 36

g=64

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.

We have the table for three function.

Now, to find the following we have find the rate of change.

Function 1 : y= 4x

At x = 2 ; y= 8

At x= 3; y= 12

Function 2: y= 4x²

At x =1 ; y= 4

At x= 3; y= 36

Function 3 : y= \(4^x\)

At x =1 ; y= 4

At x = 2 ; y= 16

At x= 3; y= 64

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Answer:

x = -48

Step-by-step explanation:

The equation is,

→ x/4 = -12

Let's solve for the value of x,

→ x/4 = -12

→ x = -12 × 4

→ [ x = -48 ]

Hence, the value of x is -48.

Answer:

x=15/8

Step-by-step explanation:

The volume formed when the area on the positive x-axis, below the curve y = (2 - x) and above the x-axis, is rotated about the x-axis is \($4\pi$\) cubic units.

To find the area of the region enclosed by the curves y = \(x^2\) and y = 2x - \(x^2\), we need to determine the points of intersection between the two curves. Set the equations equal to each other and solve for x:

\(x^2\) = 2x -\(x^2\)

2x^2 - 2x = 0

Factor out 2x:

2x(x - 1) = 0

This equation is satisfied when x = 0 or x = 1. These are the x-values where the curves intersect.

To find the area, we integrate the difference between the two curves with respect to x over the interval [0, 1]:

Area =\($\int_{0}^{1} (2x - x^2 - x^2) , dx$\)

Simplifying the integrand:

Area = \($\int_{0}^{1} (2x - 2x^2) , dx$\)

Using the power rule of integration:

Area = [\(x^2\)- (2÷3) \(x^3\)] evaluated from 0 to 1

Plugging in the limits of integration:

Area = (\(1^2\) - (2÷3)(\(1^3\))) - (\(0^2\) - (2÷3)(\(0^3\)))

Area = 1 - (2÷3) - 0 + 0

Area = 1 - (2÷3)

Area = 1÷3

Therefore, the area of the region enclosed by the curves y = \(x^2\) and y = 2x - \(x^2\) is 1÷3 square units.

To find the volume formed when the area on the positive x-axis, below the curve y = (2 - x) and above the x-axis, is rotated about the x-axis, we can use the method of cylindrical shells.

The volume can be calculated by integrating the area of each cylindrical shell along the x-axis from x = 0 to x = 2.

The radius of each cylindrical shell is given by the function y = (2 - x), and the height of each shell is the differential element dx.

The volume can be expressed as:

V = \($\int_{0}^{2} 2\pi y , dx$\)

V = \($\int_{0}^{2} 2\pi(2 - x) , dx$\)

V = \($2\pi \int_{0}^{2} (2 - x) , dx$\)

V = \($2\pi \left[2x - \frac{x^2}{2}\right]$\) evaluated from 0 to 2

V =\($2\pi$\) [(2(2) - (\(2^2\)÷2)) - (2(0) - (\(0^2\)÷2))]

V = \($2\pi$\)[(4 - 2) - (0 - 0)]

V = \($2\pi$\)(2 - 0)

V = \($4\pi$\)

Therefore, the volume formed when the area on the positive x-axis, below the curve y = (2 - x) and above the x-axis, is rotated about the x-axis is \($4\pi$\) cubic units.

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From the given information provided, the cube root of 12,167 by prime factorization method is approximately 23.

You can find the cube root of 12,167 using a calculator or by using the prime factorization method.

Using the prime factorization method, we can express 12,167 as the product of its prime factors:

12,167 = 19 × 641

Since the cube root of a product is equal to the product of the cube roots of the factors, we can find the cube root of 12,167 as follows:

∛12,167 = ∛(19 × 641)

∛12,167 = ∛19 × ∛641

∛12,167 = 2.7144 × 8.0186

∛12,167 = 23.1649 (rounded to four decimal places)

Therefore, the cube root of 12,167 is approximately 23.

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a. The regular rate of markup on cost is approximately 26%.

b. The rate of markdown on the demonstrator unit is approximately 20%.

c. The operating profit on the demonstrator unit is approximately $3.73.

d. The rate of markup on cost that was actually realized is approximately 0.28%.

a. To calculate the regular rate of markup on cost, we need to find the difference between the selling price and the cost, and then calculate the percentage markup based on the cost.

Let's denote the cost as C.

Selling price = Cost + Markup

$1,690 = C + (26% of C)

To find the cost:

$1,690 = C + 0.26C

$1,690 = 1.26C

C = $1,690 / 1.26

C ≈ $1,341.27

Markup on cost = Selling price - Cost

Markup on cost = $1,690 - $1,341.27

Markup on cost ≈ $348.73

Rate of markup on cost = (Markup on cost / Cost) * 100

Rate of markup on cost = ($348.73 / $1,341.27) * 100

Rate of markup on cost ≈ 26%

The regular rate of markup on cost is approximately 26%.

b. The rate of markdown on the demonstrator unit can be calculated by finding the difference between the original selling price and the clearance price, and then calculating the percentage markdown based on the original selling price.

Original selling price = $1,690

Clearance price = $1,345

Markdown = Original selling price - Clearance price

Markdown = $1,690 - $1,345

Markdown = $345

Rate of markdown on the demonstrator unit = (Markdown / Original selling price) * 100

Rate of markdown on the demonstrator unit = ($345 / $1,690) * 100

Rate of markdown on the demonstrator unit ≈ 20%

The rate of markdown on the demonstrator unit is approximately 20%.

c. Operating profit or loss on the demonstrator unit can be calculated by finding the difference between the clearance price and the cost.

Cost = $1,341.27

Clearance price = $1,345

Operating profit or loss = Clearance price - Cost

Operating profit or loss = $1,345 - $1,341.27

Operating profit or loss ≈ $3.73

The operating profit on the demonstrator unit is approximately $3.73.

d. The rate of markup on cost that was actually realized can be calculated by finding the difference between the actual selling price (clearance price) and the cost, and then calculating the percentage markup based on the cost.

Actual selling price (clearance price) = $1,345

Cost = $1,341.27

Markup on cost that was actually realized = Actual selling price - Cost

Markup on cost that was actually realized = $1,345 - $1,341.27

Markup on cost that was actually realized ≈ $3.73

Rate of markup on cost that was actually realized = (Markup on cost that was actually realized / Cost) * 100

Rate of markup on cost that was actually realized = ($3.73 / $1,341.27) * 100

Rate of markup on cost that was actually realized ≈ 0.2781% ≈ 0.28%

The rate of markup on cost that was actually realized is approximately 0.28%.

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Answer:

Subtract 6 from both sides, and then divide by 2. The solution is x = 8.

Step-by-step explanation:

2x + 6 = 22

Subtract 6 from both sides:

\(2x+6-6=22-6\\\\2x=16\)

Divide by 2 on both sides:

\(2x=16\\\\\frac{2x=16}{2}\\\\\boxed{x=8}\)

The solution is x = 8.

Hope this helps.

The average is calculated by adding up all the data sets, then dividing that total by the total number of data points. She used 6 gallons of gas on her trip.

In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

The two unit rates of (30 miles per gallon) and can be used to convert three hours to gallons of gas (60 miles per hour).

30 miles = 1 gallon of gas used

For (30 × 2) 60 miles = 2 gallons of gas used

2 gallons of gas she used per hour.

Susan goes 180 miles in 3 hours (60 miles per hour).

Therefore,

For 3 hrs = 3 × 2 = 6 gallons of gas used.

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Step-by-step explanation:

Hi there!

According to the question;

The gradient of line is 1/2 and passes through the point (4,-2).

Since, It has one point and gradient we use one point formula to find the equation of the line.

Note:

One point formula: (y-y1) = m (x-x1)

(4,-2) = (x1,y1)

So, using this formula we get;

(y+2) = 1/2(x-4)

Multiply both sides by 2.

2(y+2) = (1/2)*2(x-4)

2y+4 = x-4

Take 2y+4 in right side

0 = x-4 - (2y+4)

Therefore, x-2y-8 = 0 is the required equation.

Hope it helps!

Hi there!

We're given the following information:

With this information, we can go ahead and plug the data into the point slope equation: y - y₁ = m(x - x₁).

Plug in 1/2 for m, and (4,2) for x1 and y1:

\(\sf{y-y_1=m(x-x_1)}\)

\(\sf{y-(-2)=\dfrac{1}{2}(x-4)}\)

\(\sf{y+2=\dfrac{1}{2}(x-4)}\)

\(\sf{y+2=\dfrac{1}{2}x-2}\\\sf{y=\dfrac{1}{2}x-2-2}\\\\\sf{y=\dfrac{1}{2}x-4}\)

Hence, y = 1/2x - 4.

I hope that helps! :)

An experiment with the sample space is (A\capB\capC)' = S \ (A\capB\capC) = S \ {c} = {a, b, d, e, f, g, h, i, j, k}

A\cupB\cupC\cupD = {a, b, c, d, e, f, g, h, i, j, k}

(B\cupC\cupD)' = S \ (B\cupC\cupD) = {a, c, d, e, g, i}

Using the notation ' to represent complement and \cap to represent intersection, we have:

A' = {b, d, f, h, i, j, k}

C' = {a, b, d, e, j, k}

D' = {c, e, f, i}

A\capB = {c}

A\capC = {c, g}

C\capD = {c, f, g, h, i}

Using the fact that (X)' = S \ X, we have:

(A\capB\capC)' = S \ (A\capB\capC) = S \ {c} = {a, b, d, e, f, g, h, i, j, k}

A\cupB\cupC\cupD = {a, b, c, d, e, f, g, h, i, j, k}

(B\cupC\cupD)' = S \ (B\cupC\cupD) = {a, c, d, e, g, i}

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The distance of the light travels in 15 seconds is 4500000 kilometers.

It should be noted that a function is simply used to illustrate the relationship between the variables that are given.

In this case, the function is given as d(t) = 300000t. Therefore, it should be noted that the distance of the light travels in 15 seconds will be:

d(t) = 300000t

where t = 15

d(t) = 300,000 × 15

distance = 4,500,000 kilometers

The distance is 4500000 kilometers.

Note that the second question wasn't written properly and hence can't be solved.

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Answer:

√91 lies between 9 and 10.

Step-by-step explanation:

For the matrix given , the element a₂₃ is the number at 2nd row and 3 column ,which is 6 , Option B is the correct answer.

It is a table or a rectangular array of numbers or expressions arranged in rows and columns ,

For a Matrix of m x n , m is the no. of rows and n is the no. of column

For the matrix given the element a₂₃ is the number at 2nd row and 3 column ,

which is 6 ,

Therefore Option B is the correct answer.

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Eric would need to change £488 in 2012 to get 40260 Rupees

If the exchange rate in 2010 was £1 at 67.1 Rupees. This effectively means that he would have changed £600 for

600 × 67.1 = 40260 Rupees

This means that he needs 40260 Rupees in 2012, and to get the equivalent in £, we would have to invert the conversion.

£1 = 82.5 Rupees

£x = 40260 Rupees

If we cross multiply, we have

£x × 82.5 Rupees = £1 × 40260

£x = 40260/82.5

£x = 488

This means that in 2012, Eric would need to exchange only £488 to get the equivalent 40260 Rupees

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In order to determine the volume of the given ball, use the following formula:

where

r: radius = diameter/2 = 6 in/2 = 3 in

replace the previous values of the parameter into the formula for V:

Hence, the volume of the given ball is 36π in^3

Answer:

Just give me a few min ill be right back to help :)

Step-by-step explanation:

Answer:

but how many people does she serve

Step-by-step explanation:

From CalcWorkshop:

" Intersecting Chords Theorem. If two chords or secants intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord "

6 * 4 = 8 * x

x = 3

Answer:

x=5/3

Step-by-step explanation: