What is the phase shift and period for the function y = 5cos2(θ + 45°) − 7?

QUESTION POSTED AT 26/03/2020 - 08:16 AM

Answered by admin AT 26/03/2020 - 08:16 AM

5cos2(x + 45) - 7
The period for cos = 2pi/k
The k = 2 so the period = pi
The phase shift is 45 degrees to the left.
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Related questions

45÷3=15 is the same as___ ÷3 plus_____÷3=______

36 divided by 3 plus 90 divided by 3 I think I hope this helps u

ANSWERED AT 01/04/2020 - 01:47 PM


QUESTION POSTED AT 01/04/2020 - 01:47 PM

An electric pump can fill a 45-gallon tub in half an hour.At this rate, how long would it take to fill a 60-gallon tub?

You can cross multiply to find the answer. Start by setting up your equation:

45/30 = 60/x  (30 represents half an hour)
Next, cross multiply, 45 times x, and 60 times 30: 

45x = 1800  you must isolate the "x" value by using the opposite operation it is involved in. Here we have 45x (x is multiplied to 45) so we must divide 45, which will cancel itself out, leaving us with "x."

What you do on one side of the equation, you must do on the other, so divide 1800 by 45 as well, which will leave you with 40.

Working it out on paper, your equation should now look like this: x=40, which represents the amount of time it will take to fill a 60 gallon tube.

Answer: It will take 40 minutes to fill a 60 gallon tube. 

ANSWERED AT 01/04/2020 - 01:47 PM


QUESTION POSTED AT 01/04/2020 - 01:47 PM

Anna has a collection of 45 nickels and quarters worth $8.05. How many nickels does she have?

It could be 1, I'm not really sure

ANSWERED AT 01/04/2020 - 01:36 PM


QUESTION POSTED AT 01/04/2020 - 01:36 PM

A line passes through the points (4, 19) and (9, 24) write a linear function in the form y=mx+b for this line

I'm not sure of the b but y=1x+15 but my y-intercept is possibly wrong

ANSWERED AT 01/04/2020 - 01:34 PM


QUESTION POSTED AT 01/04/2020 - 01:34 PM

Which statements describe the graph of y = 4x2 + 28x + 49? Check all that apply. The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors. The equation 2x + 7 = 0 can be used to find a zero of the function. The equation (2x – 7)2 = 0 can be used to find the y-intercept. The graph has a double root at x = . The graph intersects the y-axis at y = 49.

The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors.FALSEThe equation 2x + 7 = 0 can be used to find a zero of the functionTRUE.The equation (2x – 7)2 = 0 can be used to find the y-intercept.FALSEThe graph has a double root at x = .TRUEThe graph intersects the y-axis at y = 49. TRUE

ANSWERED AT 01/04/2020 - 01:30 PM


QUESTION POSTED AT 01/04/2020 - 01:30 PM

Write a compound interest function to model the following situation. Then, find the balance after the given number of years. $17,400 invested at a rate of 2.5% compounded annually; 8 years

Y=17400(1+0.025)^8 is your equation and with that you get $21200.21

ANSWERED AT 01/04/2020 - 01:24 PM


QUESTION POSTED AT 01/04/2020 - 01:24 PM

What do n equal in 5n + 5 = 45 ?

Get the variable on one side and the numbers on the opposite.

5n + 5 = 45

Subtract 5 from each side of the equation.

5n = 40

And divide both sides by 5.

n = 8

So, n will equal to 8.

ANSWERED AT 01/04/2020 - 01:10 PM


QUESTION POSTED AT 01/04/2020 - 01:10 PM

The sharadze family is planning a car trip to atlanta, georgia, which is 279 miles from their home. they plan to drive at an average speed of 62 miles per hour. they also plan to stop for lunch for 45 minutes. based on their plan, when should they leave in order to arrive in atlanta at 3:00 p.m.?

The Sharadaze family should leave at 10:45 am. 

279(miles)/62(miles)=4.5(min.)  4.5(min.)-45(min.)=4.15

10:45+4:15=2:60 which is 3:00

which proves that the Sharadaze family should leave at 10:45 am. 

ANSWERED AT 31/03/2020 - 10:47 AM


QUESTION POSTED AT 31/03/2020 - 10:47 AM

A sprinkler rotates 45 degrees every 15 seconds. How long does it take the sprinkler to rotate 360

120 seconds 
360 divided by 45 is 8
8 times 15= 120 

ANSWERED AT 31/03/2020 - 10:45 AM


QUESTION POSTED AT 31/03/2020 - 10:45 AM

Jeremys car travels 26 miles per gallon of gas (g). If the distanced traveled(d) can be given by a function what is the input of this function

D=26g so the input is g, the number of gallons of gas.

ANSWERED AT 31/03/2020 - 10:38 AM


QUESTION POSTED AT 31/03/2020 - 10:38 AM

Graph this linear function using slope intercept: y=2x+9

I really dont know lol.
                

ANSWERED AT 29/03/2020 - 11:47 PM


QUESTION POSTED AT 29/03/2020 - 11:47 PM

Given the function: f(x) = 2x2 - 3x + 8, find f(-2). A) -22 B) -11 C) 11 D) 22

Answer:

the answer is D (22)


Step-by-step explanation:


ANSWERED AT 29/03/2020 - 06:31 PM


QUESTION POSTED AT 29/03/2020 - 06:31 PM

For the function f(x) = –5x, which ordered pair will be a point on the graph of the function? A. (–5, 1) B. (2, 10) C. (15, –3) D. (0, 0)

It's D: (0,0)
This is because when you put 0 in for x your y value will equal 0 and that is one of your answers, so it's the point (0,0) 

ANSWERED AT 28/03/2020 - 07:19 PM


QUESTION POSTED AT 28/03/2020 - 07:19 PM

Which graph represents the function y=1/2x+4 1/2-3

No graphs are shown......

ANSWERED AT 28/03/2020 - 12:59 PM


QUESTION POSTED AT 28/03/2020 - 12:59 PM

What is the effect on the graph of the function f(x) = 2x when f(x) is changed to f(3x)? A) vertical stretching B) vertical compression C) horizontal compression D) horizontal stretching

Answer:

C)  Horizontal compression

Step-by-step explanation:

Since, if y = f(x) is a function,

Then y = a f(x) gives a vertical stretch if a > 1 and gives a vertical compression if 0 < a < 1.

Also, y = f(bx) gives a horizontal stretch when 0 < b < 1 and gives a horizontal compression if b > 1.

Here,

The given parent function is,

f(x) = 2x

And, 3 > 1

Thus, by the above statements,

f(3x) will give a horizontal compression.

Hence, Option C is correct.

ANSWERED AT 28/03/2020 - 12:51 PM


QUESTION POSTED AT 28/03/2020 - 12:51 PM

How do you graph the quadratic function 8(x-6)^2

8 translation: narrow or compress graph by a scale factor of 8
-6 translation: shift graph 6 points right

ANSWERED AT 28/03/2020 - 12:49 PM


QUESTION POSTED AT 28/03/2020 - 12:49 PM

HELP ASAP PLEASE BRAINLEST ANSWER !!! In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 +7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answer:

The function started facing up with a vertex at (0,0) since 7 was added before squaring , the graph shifts 7 units up so the vertex at (7,0) also , the function is negative do the graph is pointing down.


This means that there are two x- intercepts in g(x) and there was one x- intercepts in f(x).

ANSWERED AT 28/03/2020 - 12:34 PM


QUESTION POSTED AT 28/03/2020 - 12:34 PM

Is 6 to 9 and 24 to 45 equivalent ratios

No, it would have to be 24:36 or 30:45

ANSWERED AT 28/03/2020 - 12:31 PM


QUESTION POSTED AT 28/03/2020 - 12:31 PM

Krypton-91 is a radioactive substance that decays very quickly. The function Q(t)=Qoe^-kt models radioactive decay of krypton-91. Q represents the quantity remaining after t seconds and the decay constant k is approximately 0.07. How long will it take a quantity of krypton-91 to decay t o10% of its origional amount? round your answer to the nearest second.

Answer:

32.894 seconds ≈ 33 seconds

Step-by-step explanation:

Function : Q(t)=Q_0 e^{-kt}

The function models radioactive decay of krypton-91.

The decay constant k is approximately 0.07.

Q_0 denotes initial amount .

We are require to find How long will it take a quantity of krypton-91 to decay to 10% of its original amount

\Rightarrow 10\%\times Q_0

\Rightarrow 0.10\times Q_0

So, we neet to find t at which Q(t)=0.10 Q_0

0.10 Q_0=Q_0 e^{-0.07t}

0.10 =e^{-0.07t}

Taking log both sides

\log0.10 =-0.07t \log e

\log0.10 = -0.07t \times 0.434294481903

-1 = -0.0304006137332t

\frac{-1}{-0.0304006137332} = t

32.894= t

Thus it will take 32.894 seconds ≈ 33 seconds a quantity of krypton-91 to decay to 10% of its original amount.

ANSWERED AT 28/03/2020 - 12:28 PM


QUESTION POSTED AT 28/03/2020 - 12:28 PM

What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11, 16, 22, 28, 29, 30, 31, 34, 37, 38, 43, 49, 56, 78, 99 A. 40.1 B. 35.6 C. 45 D. 50

To find the mean of a given data set, add up all the values then divide by how many numbers there are.


11 + 16 + 22 + 28 + 29 + 30 + 31 + 34 + 37 + 38 + 43 + 49 + 56 + 78 + 99 = 601

601 / 15 = 40.06666

Round the answer to 40.1 > Choice C is your answer

ANSWERED AT 28/03/2020 - 12:19 PM


QUESTION POSTED AT 28/03/2020 - 12:19 PM

Describe each of the following properties of the graph of the cosine function, f(theta) = cos(theta), and relate the property to the unit circle definition of cosine. Amplitude Period Domain Range x-intercepts I know the definitions and descriptions, I just need to know how it relates to the unit circle

Amplitude: the height of the graph from the peak to the axis. On the unit circle it would be the radius (max and min values) at 0, pi/2, 2pi
Period: the length of one full cycle of the cos graph. On the unit circle it is the circumference. The distance around a circle with radius = 1.
Domain: the x value or the values on the horizontal axis. On the unit circle these would be the radian measures around the unit circle such as pi/6, pi/4,
pi/3, pi/2.
Range: the y value or the values on the vertical axis. On the unit circle it would be the cosine value for each radian measure. Such as cos pi/4 = (sqrt2)/2, cos pi/3= 1/2.
X-intercepts: the points where the graph crosses the horizontal axis. On the unit circle these are the cosine values when theta is at the vertical points of the unit circle, pi/2 and 3pi/2.

ANSWERED AT 28/03/2020 - 12:19 PM


QUESTION POSTED AT 28/03/2020 - 12:19 PM

What is the first quartile of the set of data shown below? 16, 23, 24, 39, 45, 78, 95 A. 45 B. 23 C. 24 D. 39

The answer would be B 23

ANSWERED AT 28/03/2020 - 12:11 PM


QUESTION POSTED AT 28/03/2020 - 12:11 PM

What is 2x+4 if x is equal to 45

2x + 4

If x = 45

2 (45) + 4
= 90 + 4

= 94

ANSWERED AT 28/03/2020 - 12:05 PM


QUESTION POSTED AT 28/03/2020 - 12:05 PM

Are 6:24 and 9:45 ratios equivalent

No. If you do 6+1/3 and 24+1/3 it is not equal.

ANSWERED AT 28/03/2020 - 12:04 PM


QUESTION POSTED AT 28/03/2020 - 12:04 PM