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Use the table to answer the question.
Frank mows 1 lawn for $30. He made a table of values to show his earnings.


What error did Frank make in completing the table?
A. Frank multiplied 2 by 2 to get 4 and $60 by 2 to get $120.
B. Frank added $15 to $60 to get $75 instead of adding $30 to $60 to get $90.
C. Frank multiplied $15 by 5 to get $75 instead of multiplying $15 by 3 to get $45.
D. Frank incorrectly added to get the amount of money earned for mowing 4 lawns.

Answer:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex]

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex]

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex]

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex]

Step-by-step explanation:

Now we proceed to show all steps needed to demonstrate the trigonometric identity:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex] Given.

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex] Identities for cosecant and cotangent functions.

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]             [tex]\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex] Existence of additive inverse/Modulative property.

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]    Fundamental trigonometric identity.

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]   Factorization.

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex] Existence of additive inverse/Modulative property/Result.

Given : Explain how you would graph the inequality: 3 ≤ x .

Solution : Graph in attachment .

Answer:

When you are graphing the equation the line, theline on the graph is going to be vertical. Your line point will be ( 3, 0 ). Then there will be a shaded part of the graph on the right on of the line.

Answer:The simplest way to calculate a finance charge is: balance X monthly rate

Step-by-step explanation:

i thinkk

500 X .015 = $7.50

The finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.

The finance charge is the product of an average daily balance to the monthly interest rate.

finance charge = balance x monthly rate

The simplest way to calculate a finance charge = balance x monthly rate

= 5,600 x 0.0135

= $75.6

Thus, the finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.

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9514 1404 393

Answer:

  b) rotational symmetry: multiples of 120°

Step-by-step explanation:

The figure does not have a line of symmetry, or a point of symmetry. However, rotating it 1/3 turn (120°) will make it look like itself. Hence, it has rotational symmetry of degree 3. A rotation of any multiple of 120° will map the figure to itself.

Step-by-step explanation:

³93521586335445555554555554488807799654

Answer:

5

Step-by-step explanation:

Answer:

80 TShirts in 20 minutes

Step-by-step explanation:

32/8 = 4 Tshirts in a minute

4 x 20 = 80 TShirts in 20 minutes

Answer:

91

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6+3 is 9

Answer:

what do you mean by thrice of n?

Step-by-step explanation:

Wouldn't we need to know what n equals?

Answer:

Hi it's down below! Hope it helps

Step-by-step explanation:

1) The angles are Supplementary

This is because both angles form 180°. The angle below angle "7x+9" is the same as 5x+3.  The angle above angle"5x+3" is the same as 7x+9.

2) They are both supplementary

They form 180°

3)180° = 12x+12°

4) Solving that:

180° - 12° = 12x

168° = 12x

x = 168°/12

x = 14°

If my answer is incorrect, pls correct me!

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Answer:

the answer is 14°

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

Answer:

Step-by-step explanation:

2XV=WY

2(2x+4)=7x-1

4x+8=7x-1

3x=9

x=3

XV=2x+4=10

WY=7x-1=20

Answer:

D

Step-by-step explanation:

12-9 = 3 square unit

10 x 3 = 30 square unit

9×6 = 54 square unit

54+30 = 84 square units

and thats the answer

The area of the polygon is 84 square units, option D is correct.

The area of Rectangle is length times of width.

The given polygon has two rectangles.

Area of rectangle with length 9 and width is 6 units

Area of rectangle 1 =9×6

=54 square inches

Now Area of rectangle with length 10 and width is 3 units

Area of rectangle 2 =10×3

=30 square inches

Total area = 54+30

=84 square units

Hence, the area of the polygon is 84 square units, option D is correct.

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Answer:

Radius of cylinder = 4.5 inch

Circumference of Base = 9π inch

Area of base = 20.25π

Step-by-step explanation:

Given:

Diameter of cylinder = 9 inch

Height of cylinder = 22 inch

Find:

Radius of cylinder

Circumference of Base

Area of base

Computation:

Radius of cylinder = Diameter of cylinder / 2

Radius of cylinder = 9 / 2

Radius of cylinder = 4.5 inch

Circumference of Base = 2πr

Circumference of Base = 2π(4.5)

Circumference of Base = 9π inch

Area of base = πr²

Area of base = π(4.5)²

Area of base = 20.25π

Answer:

Step-by-step explanation:

Answer:

The answer is 1 1/2 < 2

Step-by-step explanation:

If we convert 1/2 into a decimal, we would get .5. Add that to 1 and we get 1.5. Therfore, 2 > 1.5

Answer: C

Step-by-step explanation:

Fraction division rule: 6 * 56 / 7 * 36

Then divide the numbers: 6 * 8 / 36

Cancel the numbers 6/36 = 1/6

That leaves us with 8/6

Then simplify by dividing by the common factor

8/2 = 4

6/2 = 3

Answer: 4/3

Answer:

I think that it would be b 32

Answer:

6

Step-by-step explanation:

because 385,604 there is 6 digits

Answer:

ways of thinking,behaviour,perciption

Answer:

b = 9cm is the answer.

Step-by-step explanation:

a = 12cm

b = ?

c = 15cm

By using the Pythagoras theorem,

a² + b² = c²

12² + b² = 15²

144 + b² = 225

b² = 225 - 144

b² = 81

b = 9cm.

∴ b = 9cm is the length of the missing leg.

Answer:

the standard deviation of the residuals

Step-by-step explanation:

The removal of the professional football players will cause the correlation, and consequently r2 to become closer to 0 due to the fact that the high school athletes tend to show no association between the number of energy drinks consumed and the number of pull ups that can be done. The slope of the regression line will also be nearly 0 without the professional football players. The standard deviation of the residuals, however, will increase without the presence of the professional football players because the remaining scatter about the new regression line will be greater due to the loss of the 4 professional football players which all had small residuals.

The option that will increase if the football players were removed from the data set is the standard deviation of the residuals

It should be noted that standard deviation simply means the difference between the observed data and the predicted values.

In this case, the standard deviation of the residual will increase if the football players were removed from the data set as the removal of the professional football players will cause the correlation.

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Answer:

40x4x<60

x<5

Step-by-step explanation:

40x4x<60

4x<60-40

4x<20

x<20÷4

x<5

Answer:

3 11/21

Step-by-step explanation:

2 2/3=(2*3+2)/3=8/3

8/3+6/7=56/21+18/21=74/21 or 3 11/21

A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

When the parent function [tex]f(x) = e^x -4[/tex] is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;

g(x) = kf(x)

g(x) = 1/2f(x)

[tex]g(x) = \frac{1}{2} e^x -4[/tex]

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Answer:

OD

Step-by-step explanation:

because it gives us error and there's no number

The correct option is (D) .

In all these options , they  are presenting real complex number .Real numbers can be positive or negative, and include the number zero. that is why we select option D .

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Answer: Jessica can use her measuring cup 11 times.

(hope this helps!)

Answer:

k=44

Step-by-step explanation:

Answer:

In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier

Step-by-step explanation:

Answer:

Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.Step-by-step explanation:

Answer:

40

Step-by-step explanation:

6=110 1=40 because it's not gonna be a higher character

Answer:

$4.26

Step-by-step explanation: