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3 years ago

A parabola has its vertex at (2, 2), and the equation of its directrix is y = 2.5. The equation that represents the parabola is

1 answer:

3 0

We are given with the data of a parabola with vertex at (2, 2) and directrix at y = 2.5. the formua should be ax^2 + b x + c = y because of the directrix.

(x-h)^2 = 4a (y-k)
(x-2)^2 =4a (y-2)
a is the equidistant distance from focus to vertex and from vertex to directrix that is equal to -0.5
then the answer is
(x-2)^2 =-0.5*4 (y-2)
x2 - 4x + 4 = -2y +4
x2-4x+2y = 0

answer is C

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Guo Qi watches 151515 videos on Khan Academy every day. Each video is 888 minutes long on average. For how many days does Guo Qi

lozanna [386]

Answer:

Guo Qi requires 75 days to watch videos on Khan Academy.

Step-by-step explanation:

We are given the following in the question:

Number of videos watched by Guo Qi each day = 15

Average length of each video = 8 minutes

Total minutes of video = 9000 minutes

Total number of videos to be watched =

$=\dfrac{\text{Total minutes}}{\text{Average length of video}}\\\\=\dfrac{9000}{8}=1125$

Guo Qi needs to watch 1125 videos.

Number of days required =

$=\dfrac{\text{Total number of videos}}{\text{Videos watched in one day}}\\\\=\dfrac{1125}{15}=75$

Guo Qi requires 75 days to watch videos on Khan Academy.

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3 years ago

Divide. Write in simplest form. 3/4 divided by 1/8

Kryger [21]

Answer:

when you divide 3/4 by 1/8 you get 6

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3 years ago

micheal brought 12 used books at th book sale. he paid $42.60 for the books. if each book cost the same price, how much did one

nordsb [41]

Answer:

Each book cost $3.55

Step-by-step explanation:

3 0

3 years ago

A textile mill wishes to establish a control procedure on flaws in towels it manufactures. Using an inspection unit of 50 units,

Natasha_Volkova [10]

Answer:

•A c-chart is the appropriate control chart

• c' = 8.5

• Control limits, CL = 8.5

Lower control limits, LCL = 0

Upper control limits, UCL = 17.25

Step-by-step explanation:

A c chart is a quality control chart used for the number of flaws per unit.

Given:

Past inspection data:

Number of units= 100

Total flaws = 850

We now have:

c' = 850/100

= 8.5

Where CL = c' = 8.5

For control limits, we have:

CL = c'

UCL = c' + 3√c'

LCL = c' - 3√c'

The CL stands for the normal control limit, while the UCL and LCL are the upper and lower control limits respectively

Calculating the various control limits we have:

CL = c'

CL = 8.5

UCL = 8.5 + 3√8.5

= 17.25

LCL = 8.5 - 3√8.5

= -0.25

A negative LCL tend to be 0. Therefore,

LCL = 0

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3 years ago

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