A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she's made 1,200 coffees?

Answers

Answer 1
Answer: 16 times x=1200 or 
16x=1200
divide both sides by 16
1200/16
so we  simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)
1200=3*2*2*2*2*5*5
16=2*2*2*2*1
so we notice that there are four 2's in both so those are the 'ones' so cross them off and get
3*5*5/1 or 75/1 or 75 hours 
Answer 2
Answer: 75 hours
1200 coffees/16 coffees= 75 hours

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Use the unit circle to find the value of cot (–270°). Question 3 options: cot (–270°) = 1 cot (–270°) = –1 cot (–270°) = 0 undefinedQuestion 3 options:

cot (–270°) = 1

cot (–270°) = –1

cot (–270°) = 0

undefined

Answers

Answer:

cot(-270) = 0

Step-by-step explanation:

given cot ( -270)

In trigonometry function we will use cot ( -x) = -cotx

so cot (-270) = - cot270

trigonometry table

          II quadrant                                I quadrant ( All positive)                                                                              

 sin θ            90+θ                                                    90 -θ

 cosec θ     180-θ                                                   360+θ

            third quadrant                                fourth quadrant

 tan θ            180+θ                                       cos θ          270+θ

 cot θ       270 - θ                                          sec θ       360-θ                                    

Given

cot (-270) = -cot ( 270)

                = - cot ( 180 + 90) (third quadrant above table)

                = -cot 90 =0 ( cot θ positive in third quadrant

Final answer:-

cot(-270) =0

Final answer:

The value of cot(−270°) is undefined because it involves a division by zero, as its calculation is based on the cosine and sine values at −270° on the unit circle, which are 0 and 1, respectively.

Explanation:

To find the value of cot (−270°), we need to understand where −270° places us on the unit circle. A full circle is 360°, so starting at the positive x-axis and moving clockwise (since the angle is negative), we move 270° to end up at the positive y-axis. The cotangent function is the ratio of the adjacent side to the opposite side in a right triangle, or the cosine divided by the sine.

At −270° (or 270° in the positive, counter-clockwise direction), the coordinate on the unit circle is (0, 1). The sine of −270° is the y-coordinate (which is 1), and the cosine of −270° is the x-coordinate (which is 0). Therefore, cot (−270°) = cos (−270°) / sin (−270°) = 0/1. Since division by zero is undefined, cot (−270°) is undefined.

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a. True
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Answers

If the lines are parallel to each other, it won't intersect. It means that we can't get any intersect point by solving equations. There is no coordinate which satisfy both lines.

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Answers

-- When Riko left the house, Yuto was 5.25 miles ahead of her. 

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Answer:

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Step-by-step explanation:

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When using the Internet to conduct research, it is most important to:a. get the most current information.
b. not spend too much time shopping online while researching.
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Answers

C. evaluate carefully that the sources are reliable and credible

Consider the graph of f(x) = 2x 3 – 3x 2 – 14x. On a coordinate plane, a graph increases through (negative 2, 0) to (negative 1, 10), decreases through (0, 0) to (2, negative 24), and then increases through (3.5, 0) through (4, 20). Based on the graph, what is the solution to 2x 3 – 3x 2 ≥ 14x?

Answers

Answer:

Answer D

Step-by-step explanation:

Final answer:

The solution to the inequality 2x³ – 3x² – 14x ≥ 0, as indicated by the graph provided, is given by the intervals of x where the function is increasing. Therefore, the solution is comprised of the intervals [-2, -1] and [3.5, ∞].

Explanation:

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Based on the description of the graph, the function increases in the intervals (-2, -1) and (3.5, ∞) and decreases in the interval (-1, 3.5). So, the solution to the inequality would be the union of the intervals where the function increases: [-2, -1] U [3.5, ∞].

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