simplify the expression:
2 (-7 + 7r) =

Answer:

Step-by-step explanation:

4QWWQWQWQ

they add 2 with each no.

2+2=4

4+2=6

6+2=8

8+2=10

the multiples of 2

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Answer:

the Pacific pattern is +2

the volume of water in the tank m = 1000 × 8A² = 8000A² kg

The given layer of water is rectangular in shape with a thickness of Ax m and 8m in length. So, the volume of water in the tank can be calculated using the formula;

V = l × w × h

Where; l = 8m, w = x m, and h = Ax m

Therefore; V = 8 × x × Ax = 8A² m³

The mass of water in the tank can be obtained using the formula;

m = density × volume

Therefore; m = 1000 × 8A² = 8000A² kg

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Answer:

B - y = 3x - 2

Step-by-step explanation:

The equation is y = mx + b

Where m is the slope of the line or rise over run

The slope is 3

Where b is the y intercept of the line

The y - intercept is -2

Answer:

B. y=3x-2

Step-by-step explanation:

We see that the graphs pass through the points (0,-2) ,(2,4) and (1,1)

Hence, we must find an equation of which both are a common solution..

Here in equation B,

by substituting x=0,2,1 and y=-2,4,1 respectively..

we get, that these values satisfy the solution... Indicating that (y=3x-2) is the equation of the graph

Answer:

70% made it 30% didn't make it

Step-by-step explanation:

Step 1:

35/50 = x/100      Equation

Step 2:

50x = 3,500        Multiply

Step 4:

x = 3,500 ÷ 50      Divide

Answer:

x = 70

Hope This Helps :)

Answer: I think its c

Step-by-step explanation:

The equation of the other line of the triangle is x + 2y - 18 = 0.

A right triangle is formed by the y-axis, the line y = 2x + 4 and another line. If the legs of the right triangle intersect at (2, 8), then the point of intersection of the legs of the right triangle is (2, 8) which is also the vertex of the right triangle.

Let the equation of the other line be y = mx + c. The slope of the line passing through the point (2, 8) and the point of intersection of line y = 2x + 4 with x-axis is -1/2.

Slope of line y = 2x + 4 is 2. Therefore, the slope of the line perpendicular to y = 2x + 4 and passing through the point (2, 8) is (-1/2). Thus, the equation of the line is y - 8 = (-1/2)(x - 2) which simplifies to 2y - 16 = - (x - 2) and further simplifies to x + 2y - 18 = 0.

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Answer:

The answer is 5

Step-by-step explanation:

(3^0 + 4^-1) 2²

Zero power rule and Negative power rule:

(1 + 1/4) 4

Add then multiply:

(1.25) 4

=5

Answer:

Plot the points on the graphing calculator. Then generate a linear regression equation. That equation is

y = .4039x + 4.2089

The two closest points to this line are

(2, 5) and (6, 7).

.4039(2) + 4.2089 = 5.0167

.4039(6) + 4.2089 = 6.6323

Let's consider a manufacturing company that is looking to improve the efficiency of their assembly line. The company wants to conduct an experiment to evaluate the impact of two independent variables on the production output. The variables are the type of equipment used and the level of employee training.

Experiment Design: The company decides to employ a 2x2 full factorial design for their experiment. They create four different conditions by manipulating the two independent variables:

Condition A: Standard equipment, untrained employees.

Condition B: Standard equipment, trained employees.

Condition C: Upgraded equipment, untrained employees.

Condition D: Upgraded equipment, trained employees.

The company randomly assigns a group of employees to each condition and measures the production output (e.g., number of units produced per hour) for a set period of time.

Using the 2x2 full factorial design, the company can systematically assess the effects of equipment type and employee training on the production output.

By comparing the results across the four conditions, they can determine the main effects of each independent variable as well as any interaction effects between the variables.

The experiment will provide valuable insights into the optimal combination of equipment type and employee training for maximizing production efficiency.

The company can use the findings to make data-driven decisions on equipment upgrades and training programs, leading to improved productivity and cost-effectiveness in their assembly line operations.

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Answer: 10

Step-by-step explanation:

25/5 = 5

5*2 = 10

Answer:

The answer is C. 0

Answer:

Vertex: (-1,-9)

Step-by-step explanation:

The vertex of an up-down facing parabola of the form y=ax^2+bx+c is x=-b/2a

Plug the values into the equation

a=1, b=2, c=-8

x=-2/(2*1)

Simplify

x=-1

Plug in x=-1 to find the y value

y=1(-1)^2 + 2(-1) + (-8)

y= -9

Then put them in a coordinate pair

Vertex: (-1,-9)

Answer: (1.25,0.25)

Step-by-step explanation:

Because I got it right.

The approximation the solution is (1.25, 0.25) option second (1.25, 0.25) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have given two straight lines shown in the coordinate plane.

As we can see both the lines intersect in the first quadrants.

Both the coordinate will be positive.

The approximation of the solution is (1.25, 0.25)

Thus, the approximation the solution is (1.25, 0.25) option second (1.25, 0.25) is correct.

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Answer

17 is the answer

Step by step answer

To value a four-year coupon bond, we need to calculate the present value of its future cash flows, which include both the periodic coupon payments and the final face value payment. The discount factor is used to discount these cash flows back to their present values.

A. To calculate the price or value of the bond, we first need to determine the present value of the coupon payments. The bond has a face value of $1,000 and a coupon rate of 5%, which means it pays an annual coupon of $50 (5% of $1,000). Assuming annual coupon payments, we discount each coupon payment using the appropriate discount factor for the corresponding year. For example, if the discount factor for year one is 0.95, the present value of the first coupon payment would be $50 * 0.95 = $47.50. We repeat this calculation for each coupon payment and also discount the final face value payment. Finally, we sum up all the present values to obtain the price or value of the bond.

B. The yield to maturity (YTM) of the bond represents the rate of return an investor would earn if they hold the bond until maturity. It is the discount rate that equates the present value of the bond's cash flows to its current market price. To find the YTM, we need to iterate different interest rates until we find the rate that makes the present value of the bond's cash flows equal to its market price. This process involves solving a non-linear equation and can be done using numerical methods or financial calculators/software.

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Answer:

$24.99

Step-by-step explanation:

299.99- 150 = 149.99

12.50x is greater than or equal to 149.99.

12.50(10) = 125

149.99- 125 =24.99

Answer:

$24.99

Step-by-step explanation:

$12.50 x 10 = $125

$125 + $150 = $ 275

$299.99 - $275 = $24.99

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = y

Equation One

x = 1/2 y + 6;

2x = y + 12

2x - 12 = y

Second Equation

x^2 - y^2 = 99        Substitute for y^2

x^2 - (2x - 12)^2 = 99

x^2 - (4x^2 - 48x + 144) = 99

x^2 - 4x^2 + 48x - 144 = 99

- 3x^2 + 48x - 144 - 99 = 0

- 3x^2 + 48x - 243 = 0           Divide by -3

x^2 - 16x + 81 = 0

Use of the quadratic formula gives

8 +/- 123i

You may not know how to get complex numbers, but that is what this one comes to.

Answer:

4 times x + 15 = 6 times x -3

3.4  Step-by-step explanation:

The area of path is 13.5 m².

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.

Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".

length of flower bed = 3m

width of flower of bed = 1.5 m

length of bed along path = 3 + 1+ 1 = 5m

width of flower bed = 1.5 + 1+ 1 = 3.5 m

So, area of flower bed along path = 5 x 3.5 = 17.5 m²

and, area of flower bed = 3 x 1.5 = 4.5 m²

Thus, area of path = 17.5 - 4.5 = 13.5 m²

hence, the area of path is 13.5 m².

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Answer:

A, C, D

Step-by-step explanation:

Just took the assignment :D

We are given three initial value problems, and we need to solve them using the Laplace transform method. The problems are as follows: a) y"+y' - 2y = -4e^-t, y(0) = 4, y'(0) = -9; b) y" - 3y + 2y = 0, y(0) = 3, y'(0) = 4; c) y" - 9y = 8(t - π), y(0) = -1, y'(0) = 2. In this problem, we will apply the Laplace transform to solve each equation.

a) Taking the Laplace transform of the given equation and using the initial conditions, we obtain the transformed equation:

[tex]s^2Y(s) - sy(0) - y'(0) + sY(s) - y(0) - 2Y(s) = -4/(s+1)[/tex]

Simplifying and solving for Y(s), we get:

Y(s) = [tex](4s^2 + 17s + 21)/(s^2 + s - 2)[/tex]

Using partial fraction decomposition, we can express Y(s) as:

Y(s) = 3/(s-1) - 1/(s+2)

Now, we take the inverse Laplace transform to find the solution y(t):

y(t) = [tex]3e^t - e^{-2t}[/tex]

b) Applying the Laplace transform to the given equation and using the initial conditions, we obtain the transformed equation:

[tex]s^2Y(s) - sy(0) - y'(0) - 3Y(s) + 2Y(s) = 0[/tex]

Simplifying and solving for Y(s), we get:

Y(s) = (s+4)/(s-1)(s-2)

Using partial fraction decomposition, we can express Y(s) as:

Y(s) = 1/(s-1) - 1/(s-2)

Taking the inverse Laplace transform, we find the solution y(t):

[tex]y(t) = e^t - e^{2t[/tex]

c) Applying the Laplace transform to the given equation and using the initial conditions, we obtain the transformed equation:

[tex]s^2Y(s) - sy(0) - y'(0) - 9Y(s) = 8(1/(s^2) - π/(s^{2+1}))[/tex]

Simplifying and solving for Y(s), we get:

[tex]Y(s) = (s-4)/(s^2+9) - 8/(s^2(s^{2+1)})[/tex]

Taking the inverse Laplace transform, we find the solution y(t):

[tex]y(t) = (cos(3t) - 4sin(3t))/3 - 4t + 8sin(t)[/tex]

Hence, we have obtained the solutions to the given initial value problems using the Laplace transform method.

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