1. Find the slope of the line.

Answer:

a to the power 1

............

Answer:

Q1(a). x=112 (corr angles)

Q1(b). x=75 (alt angles)

Q1(c). x=180-150 (adj angles on a str line)

           =30

         y=150 (corr angles)

Q1(d). x=99 (vert opp angles)

         y=99 (corr angles)

          z=180-99 (adj angles on a str line)

            =81

Q1(e). x=180-74 (adj angles on a str line)

           =106

         y=106 (corr angles)

Q1(f). x=123 (corr angles)

        y=180-110 (int angles)

          =70

Q3. 4x+15=5x-10 (vert opp angles)

      4x-5x=-10-15

            -x=-25

             x=25

Q4. x+22+2x-13=180 (int angles)

                 3x+9=180

                     3x=180-9

                         =171

                       x=171÷3

                         =57

Answer:

Create the table and choose a set of x values. Substitute each x value (left side column) into the equation. Evaluate the equation (middle column) to arrive at the y value. An Optional step, if you want, you can omit the middle column from your table, since the table of values is really just the x and y pairs.

Step-by-step explanation:

Specify a name for the function.

Specify a name and data type for each input parameter.

Specify the routine attributes.

Specify the RETURNS TABLE keyword.

Specify the BEGIN ATOMIC keyword to introduce the function-body.

Specify the function body.

Answer:

y < -14/3

Step-by-step explanation:

y/4 - y - 1/2 > 3

          +1/2     +1/2

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

y/4 - y > 7/2

*4           *4

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

y - 4y > 14

-3y > 14

/-3     /-3

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

y < -14/3

Answer:

y < -14/3 --> final solution

Answer:

2 caplets contain 574 milligrams of medication.

Step-by-step explanation:

1 caplet = 287 milligrams

x caplets = 574 milligrams

Divide:

574 ÷ 287 = 2

-Chetan K

Answer:

false, false, true. This is my answer for the three questions.

Answer: $15.23

Step-by-step explanation:

$870 x ((7% / 12 months)  x 3 months)

= $870 x 0.005833 x 3

= $15.23

Answer:

Step-by-step explanation: 4 if i believe

The computations of Company X's Capital Structure is as follows:

a. Cost of Common equity = 7.48% ($4.114/$55 x 100)

b. Cost of Preferred stock = 11.93% ($13/$109 x 100)

c. After-tax cost of debt = 8.25% (11% x 1 - 0.25)

d. Weighted Average Cost of Capital (WACC):

= (39% x 7.48% + 28% x 11.93% + 33% x 8.25%)

= (2.92% + 3.34% + 2.72%)

= 8.98%

= 9%

Data and Calculations:

Capital Structure Weights:

Weight of Debt =33%

Weight of Preferred stock = 28%

Weight of Common equity = 39%

Corporate tax rate = 25%

Earnings growth = 6.5%

Expected dividend per share next year = $4.40

Dividend per share for the current year = $4.114 ($4.40 x 93.5%)

Current common stock price per share = $55

Learn more: https://brainly.com/question/20815933

Answer:

A number between 0.3 and 0.4 is 0.35

Answer:

70

Step-by-step explanation:

7 x 10 = 70

Answer:

30°

Step-by-step explanation:

The complementary angle of 60° is 30° complementary angles are angles whose measures sum to 90�,

so complementary angles of 60�is 30�

Answer:

30°

Step-by-step explanation:

90-60=30 the complementary angle of 60° is 30°

Answer:

Number

Step-by-step explanation:

Answer:

Digit is single number

so answer is numeral

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

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Explanation:

Add up the x coordinates of A and B

-2+1 = -1

Then cut that result in half

-1/2 = -0.5

This is the x coordinate of the midpoint.

Repeat these steps for the y coordinates: (1+5)/2 = 6/2 = 3

The midpoint of segment AB is located at (-0.5, 3)

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Explanation:

Let's isolate the variable y in the first equation

-2x - y = 1

-2x = 1 + y

1+y = -2x

y = -2x-1

Then we'll plug this into the second equation

-4x - 2y = -1

-4x - 2(-2x-1) = -1

-4x + 4x + 2 = -1

0x + 2 = -1

0 + 2 = -1

2 = -1

We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.

Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.

Answer:75%

Step-by-step explanation:

Answer:

There are 3 oatmeal cookies.

Step-by-step explanation:

Answer:

X. f(x)

0 -10

3 -4

5 0

6 2

then now polt the following points on

graph

(0,-10),(3,-4),(5,0),(6,2)

Step-by-step explanation:

hi by hi by hi bye hi by hi bye bye

9514 1404 393

Answer:

  29 square units

Step-by-step explanation:

One estimate could be obtained by approximating the shape by a polygon with vertices at ...

  (-3, 3), (2, 2), (2, -2), (-3, -4), (-4, -3), (-3, -1)

The idea is to try to have about as much area outside this boundary as inside with reference to the curve shown.

This can be subdivided into a trapezoid with the first four vertices shown, and a triangle with the last three vertices shown. The respective areas are ...

  trapezoid area = 1/2(b1 +b2)h = 1/2(7+4)(5) = 27.5

  triangle area = 1/2bh = 1/2(3)(1) = 1.5

Then the total estimated area is about 27.5 +1.5 = 29 square units.

Answer:

30 cubic feet

Step-by-step explanation:

2 times 3 times 5 equals 30.

Answer:

y = -4, x = 9

Step-by-step explanation:

If a line is horizontally passing through a point, then the equation of that line must be the y-value of that coordinate point. Likewise, if a line is passing vertically through a point, then the equation of that line must be the x-value of that coordinate point.

Apply the theory to this problem.

The equation for the horizontal line is y = -4

The equation for the vertical line is x = 9

Answer:

(-7, -2)

Step-by-step explanation:

If you look on a graph and travel 7 units to the left of the y axis, you are traveling in the x direction (along the x axis). Since you are 7 units to the left, you are at -7 in the x direction.

If you look on a graph and travel 2 units down below the x axis, you are traveling in the y direction (along the y axis). Since you are 2 units down, you are at -2 in the y direction.

Coordinates are listed in (x,y) format, so it would be (-7, -2)

Answer:

(2p + 5)(p² + 3)

Step-by-step explanation:

2p³ + 5p² + 6p + 15

take out factor p²

p² × (2p + 5) + 6p + 15

p² × (2p + 5) + 3 (2p + 5)

= (2p + 5)(p² + 3)

Problem 2

Based on those variables, we can form these equations

The system of equations is

[tex]\begin{cases}x+y+z = 75\\x = 3y+6\\z = y-11\\\end{cases}[/tex]

Let's start with the first equation. Then apply substitution like so

x+y+z = 75  

3y+6+y+z = 75 ... plug in x = 3y+6

4y+6+z = 75

4y+6+y-11 = 75 ... plug in z = y-11

5y-5 = 75

5y = 75+5

5y = 80

y = 80/5

y = 16 = amount of candy Joe collected

z = y-11 = 16-11 = 5 = amount Josh collected

x = 3y+6 = 3*16+6 = 54 = amount Ian collected

======================================================

Problem 3

x = number of pounds of candy that sells for $1.49 a pound

1.49x = cost of buying those x pounds of candy at that unit price

4.50*5 = 22.50 = cost of buying 5 pounds at $4.50 per pound

1.49x+22.50 = total cost

x+5 = total weight in pounds

(total cost)/(total weight) = final cost per pound

(1.49x+22.50)/(x+5) = final cost per pound

(1.49x+22.50)/(x+5) = 3.64

1.49x+22.50 = 3.64(x+5)

1.49x+22.50 = 3.64x+18.20

22.50-18.20 = 3.64x-1.49x

4.30 = 2.15x

2.15x = 4.30

x = (4.30)/(2.15)

x = 2

======================================================

Problem 5

g = number of ghosts

w = number of witches

s = number of scarecrows

g+w+s = 22 = total number of items

w = g+1 since there's one more witch compared to ghosts

s = w-7 since there's 7 less scarecrows than witches

The system we need to solve is

[tex]\begin{cases}g+w+s = 22\\w = g+1\\s = w-7\\\end{cases}[/tex]

We'll use substitution here as well

g+w+s = 22

g+w+w-7 = 22 ... plug in s = w-7

g+2w-7 = 22

g+2(g+1)-7 = 22 ... plug in w = g+1

g+2g+2-7 = 22

3g-5 = 22

3g = 22+5

3g = 27

g = 27/3

g = 9, there are 9 ghosts

w = g+1 = 9+1 = 10 witches

s = w-7 = 10-7 = 3 scarecrows

10 witches and 3 scarecrows

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The given equation can be written as :

Therefore , the slope intercept form for above equation is :