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natta225 [31]
3 years ago
12

1. Find the phase shift of the function y = 5cos(2x + pi/2).

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

1

The cosine function in standard form is

y = acos(bx + c)

where a is the amplitude, period = \frac{2\pi }{b} and

phase shift = - \frac{c}{b}

here b = 2 and c = \frac{\pi }{2}, thus

phase shift = - \frac{\frac{\pi }{2} }{2} = - \frac{\pi }{4}

2

the amplitude = | a |

which has a maximum of a and a minimum of - a

y = 4cosx ← has a maximum value of 4

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Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?
Wewaii [24]

Answer:

$1,800

Step-by-step explanation:

If Michael works 30 hours a week for $15 an hour we can use the equation:

15 x 30 = 450.

Now just multiply the given answer by 4 and you're left with:

450 x 4 = 1800.

4 0
3 years ago
Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same
frutty [35]
Number of jobs=1

Time: 
<span>Since ‘x’ is given as a variable in the choices, we should reserve it for Kate and use ‘y’ for Jean as follows: </span>
<span>
Kate: => x </span>
<span>Jean: => y </span>

<span>But y = x - 5 </span>

<span>Combined rate: </span>
<span>1/x+ 1/y </span>
<span>= (x + y)/(xy) </span>

<span>Number of jobs done: </span>
<span>
Number of days X combined rate = number of jobs </span>
<span>6 [(x + y)/(xy)] = 1 </span>
<span>6x + 6y = xy </span>
<span>6x + 6(x - 5) = x(x - 5) </span>
<span>6x + 6x - 30 = x² - 5x </span>
<span>12x - 30 = x² - 5x </span>
<span>x² - 17x + 30 = 0 
</span>
Therefore, the answer would be A.
3 0
3 years ago
Find two consecutive whole numbers that <br> 20<br> lies between.
Volgvan
28 I think is in between it
4 0
4 years ago
Corinna has $64. She wants to buy a $262 plane ticket. She will save up her earnings from working at the museum where she
Lerok [7]

Answer:

A

Step-by-step explanation:

.

4 0
3 years ago
Help Please!! Brainliest + points
Ad libitum [116K]

There are a few different ways to calculate the variance.  Let's calculate the mean first, then the sum of the squared deviations from the mean and then we'll talk again.

{ 4 ,  16 ,  21 ,  32 ,  11 ,  12 }

Those add to 96 and there are 6 of them so a mean of

\mu = 96/6 = 16

Now let's add up the squared deviations from the mean,

s = (4 - 16)^2 + (16 - 16)^2 + (21 - 16)^2 + (32 - 16)^2 + (11 - 16)^2 + (12 - 16)^2

s= 466

Since we used one of our six degrees of freedom to calculate the mean we have five left so we divide by five for the unbiased sample variance:

\sigma^2 = 466/5 = 93.2

Answer: 93.2


4 0
3 years ago
Read 2 more answers
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