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rosijanka [135]
4 years ago
5

Given this function: f ( x )=−2cos(4 πx ) Find the following:

Mathematics
1 answer:
Neporo4naja [7]4 years ago
4 0

Answer:

Period =½

Equation of midline, y=0

Maximum =2

Minimum=-2

Step-by-step explanation:

The given function is

f(x) =  - 2 \cos(4 \pi \: x)

The period is given by:

\frac{2\pi}{b}  =   \frac{2\pi}{4\pi} =  \frac{1}{2}

The equation of the midline is y=0 since there is no vertical shift

The amplitude of this function is 2 so the range is -2≤y≤2.

Hence the maximum value is 2 and minimum value is -2

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A ball lands in a random part of the scoring area.
PSYCHO15rus [73]

Answer:

Okay lets start  with the easy part's  so we know that it is certain to scorer more then 0 and its likely scoring 30 points and  same for 50 points or less and its very unlikey to score more then  100 points

I'm pretty sure thats right

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Paulo had 2 1/4 feet of red twine. he had 1 5/12 feet of blue twine. he used some twine for a craft. he has 1 11/12 feet of twin
marta [7]
2 1/4 + 1 5/12 = 3 8/12

3 8/12 - 1 11/12 = 2 -1/4 

he used 1 3/4 feet for a craft
6 0
3 years ago
Read 2 more answers
A manufacturer of batteries routinely tests its products to determine lifetime (hours of continuous usage). Suppose they select
Alex73 [517]

Answer:

correct option is A. statistic

Step-by-step explanation:

given data

sample = 30

batteries = AAA

average lifetime = 1500 hours

to find out

find average lifetime with sample battery what is this called

solution

we know that sample mean that is

average of sample is called sample mean and is statistic

so here 30 sample is used

and here statistic is use to calculate the population parameter

so we can say that correct option is A. statistic

6 0
4 years ago
swimming downstream you can swim 2 miles in 40 minutes, and upstream you can swim 2 miles in 60 minutes...how long will it take
Akimi4 [234]

Answer:

Vp = 1 / 24  miles/min   the speed in still water

Step-by-step explanation:

Lets call Vp speed of swimmer   and  Vw  speed of water then:

Downstream   Vp  +  Vw  

Swimmer does  2 miles in 40 minutes then he does

1  mile  in  20 minutes

Upstream     Vp - Vw

Swimmer does  2 miles in 60 minutes then he does

1 mile in 30 minutes

We get the following system:

(Vp  +  Vw )* 20  = 1    (1)         and

( Vp -  Vw )* 30   = 1    (2)

Solving the system

From equation (1)

20*Vp  +  20* Vw  =  1       ⇒     Vw  =  ( 1 - 20*Vp ) /20

Plugging that value in the second equation

(Vp  - Vw )* 30  = 1      ⇒  [ Vp - ( 1 - 20*Vp )/20 ] * 30  = 1

[20*Vp - 1 + 20*Vp ] * 30/20 = 1     ⇒ [ 40*Vp - 1 ] *30  =  20     or

 [ 40*Vp - 1 ] *3 = 2

120* Vp  - 3  = 2     ⇒   120*Vp  =  5   and   Vw  = 1 /120 miles/min

Vp  =  5 / 120 miles/min    or  

Vp = 1 / 24  miles/min

and speed of water   Vw  =  1 / 120

8 0
3 years ago
Can anyone help me ? thank you and please
dalvyx [7]
Angle bisector divides the angle in half so one half equals the other half

(2x+12) = (4x+8)
2x + 4 = 4x
4 = 2x
2 = x

2(2) + 12 = 16
angle QRT is 16 degrees
6 0
3 years ago
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