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3 years ago

What is 6/3 as a mixed number?

Mathematics

1 answer:

Reptile [31]3 years ago

3 0

The mixed number of 6/3 is 2

Explanation

Nothing it’s just what it is

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Tom makes a 8% commission on the sale of all the cars that he sells. He sells $140,000 worth of cars this month. What is the com

maks197457 [2]

Answer:

$11,200

Step-by-step explanation:

Just multiply the percent times the total

8% * 140000 = .08 * 140000 = 11200

8 0

2 years ago

What is the equation of a line with a slope of 7 and a point (1, 8) on the line?

Helen [10]

Answer:

$y=7x+1$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

In this problem we have

$m=7$

$point(1,8)$

substitute and solve for b

$8=7(1)+b$

$8=7+b$

$b=8-7=1$

The equation of the line is equal to

$y=7x+1$

7 0

3 years ago

On average, a person spends $240 every 3 months on their cellphone bill . What would the price for 1 month. How much would this

Elena L [17]

Answer:

$960

Step-by-step explanation:

price of one month = total expense/ number of month

= 240/3= $80

therefore persons annual expenses = 80*12= $960

3 0

2 years ago

Which line is perpendicular to the<br>line -x+ y=2?

mr Goodwill [35]

Answer:

y= -x+b

Step-by-step explanation:

hello :

the slope for the line : - x+y=2 is 1 because -x+y = 2 means y= 1x+2

all lines perpendicular to the line -x+y=2 have equation : y = ax+b

when : a×(1) = -1 so : a=-1

an equation is : y= -x+b

look the graph for the line : -x+y=2 (color red) and some lines

perpendicular to this line

5 0

2 years ago

Read 2 more answers

What is the correct justification for the indicated steps?

yanalaym [24]

The given proof of De Moivre's theorem is related to the operations of

complex numbers.

<h3>The Correct Responses;</h3>

Step A: Laws of indices

Step C: Expanding and collecting like terms

Step D: Trigonometric formula for the cosine and sine of the sum of two numbers

<h3>Reasons that make the above selection correct;</h3>

The given proof is presented as follows;

$\mathbf{\left[cos(\theta) + i \cdot sin(\theta) \right]^{k + 1}}$

Step A: By laws of indices, we have;

$\left[cos(\theta) + i \cdot sin(\theta) \right]^{k + 1} = \mathbf{\left[cos(\theta) + i \cdot sin(\theta) \right]^{k} \cdot \left[cos(\theta) + i \cdot sin(\theta) \right]}$

$\left[cos(\theta) + i \cdot sin(\theta) \right]^{k} \cdot \left[cos(\theta) + i \cdot sin(\theta) \right] = \mathbf{\left[cos(k \cdot \theta) + i \cdot sin(k \cdot \theta) \right] \cdot \left[cos(\theta) + i \cdot sin(\theta) \right]}$

Step B: By expanding, we have;

$\left[cos(k \cdot \theta) + i \cdot sin(k \cdot \theta) \right] \cdot \left[cos(\theta) + i \cdot sin(\theta) \right] = cos(k \cdot \theta) \cdot cos(\theta) - sin(k \cdot \theta) \cdot sin(\theta) + i \cdot \left [sin(k \cdot \theta) \cdot cos(\theta) + cos(k \cdot \theta) \cdot sin(\theta) \right]$

Step D: From trigonometric addition formula, we have;

cos(A + B) = cos(A)·cos(B) - sin(A)·sin(B)

sin(A + B) = sin(A)·cos(B) + sin(B)·cos(A)

Therefore;

$cos(k \cdot \theta) \cdot cos(\theta) - sin(k \cdot \theta) \cdot sin(\theta) + i \cdot \left [sin(k \cdot \theta) \cdot cos(\theta) + cos(k \cdot \theta) \cdot sin(\theta) \right] = \mathbf{ cos(k \cdot \theta + \theta) + i \cdot sin(k \cdot \theta + \theta)}$

Learn more about complex numbers here:

brainly.com/question/11000934

4 0

2 years ago

Read 2 more answers