Where are the x-intercepts for f(x) = −4cos(x − pi over 2) from x = 0 to x = 2π?

Answers

Answer 1

Answer: recall that to get the x-intercepts, we set the f(x) = y = 0, thus

$\bf \stackrel{f(x)}{0}=-4cos\left(x-(\pi )/(2) \right)\implies 0=cos\left(x-(\pi )/(2) \right)\n\n\ncos^(-1)(0)=cos^(-1)\left[ cos\left(x-(\pi )/(2) \right) \right]\implies cos^(-1)(0)=x-\cfrac{\pi }{2}\n\n\nx-\cfrac{\pi }{2}=\begin{cases}(\pi )/(2)\n\n(3\pi )/(2)\end{cases}$

$\bf -------------------------------\n\nx-\cfrac{\pi }{2}=\cfrac{\pi }{2}\implies x=\cfrac{\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{2\pi }{2}\implies \boxed{x=\pi }\n\n-------------------------------\n\nx-\cfrac{\pi }{2}=\cfrac{3\pi }{2}\implies x=\cfrac{3\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{4\pi }{2}\implies \boxed{x=2\pi }$

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Which region of the country had an agricultural based economy?

Answers

Answer:

This is not math this is History

Step-by-step explanation:

You drive 6.0 km at 50 km/h and then another 6.0 km at 90 km/h. Your average speed over the 12 km drive will be _________

Answers

Answer:

$64.29\ (km)/(h)$

Step-by-step explanation:

hello

the speed is the relation between a distance traveled and the time used for it and it is given by the equation

$v =(displacement)/(time)\n (1)v=(d)/(t)$

Now, the average speed will be

$v_(average) =(displacement\ total)/(total\ time)\n (1)v=(d)/(t) \n(2)v_(average)=(d_(t) )/(t_(t) )$

Step 1

I drive 6.0 km at 50 km/h

from (1) it is possible to isolate t

$(1)v=(d)/(t)\nt=(d)/(v)$

Let

$v=50 (km)/(h) \nd=6.0 km\nt=(d)/(v) \nt=(6.0 km)/(50 (km)/(h))\nt_(1)=0.12\ hours\n$

Step 2

then I drive 6.0 km at 90 km/h

$v=90 (km)/(h) \nd=6.0 km\nt=(d)/(v) \nt=(6.0 km)/(90 (km)/(h))\nt_(2)=0.067\ hours\n$

Step 3

FInd total time and total displacement

$Total\ time=t_(1) +t_(2) \nt_(t) =0.12\ hours +0.067\ hours =0.187\ hours\n\ntotal\ distance\ =d_(1) +d_(2)=6.0\ km +6.0\ km= 12\ km\n$

step 4

finally, put these values into the equation(2)

$v_(average)=(d_(t) )/(t_(t) )\nv_(average)=(12\ km )/(0.187\ h )\nv_(average)=64.29\ (km)/(h)$

V=64.29 km/h

Have a good day

Answer:

64.2857 km/h

Step-by-step explanation:

Time taken to drive the first 6.0 km in hours = 6/50

Time take to drive another 6.0 km in hours = 6/90

Total time taken to drive 12 km in hours = (6/50) + (6/90)

= 6(50+90)/50x90

= 6x140/50x90

= 840/4500

The average speed over the 12 km is therefore 12 divided by 840/4500

= (12 x4500)/840

= 64.2857 km/h

Greg and Josh want to go whitewater rafting in 3 weeks. Josh is able to save the $480 he needs to go on the trip by saving the pay he received for 5 hours of work each week. Greg must save 8 hours worth of pay each week in order to have enough money. How much more money does Josh make than Greg? a.

$10

b.

$12

c.

$14

d.

$20

Answers

We will find the rate of Greg and Josh earning money that is the amount of money they receive per unit time (hour)

Since the trip is in 3 weeks,

Number of hours Josh worked = 3 weeks * (5 hours/week) = 15 hours

Number of hours Greg worked = 3 weeks * (8 hours/week) = 24 hours

Josh’s rate = $480/15 hrs = $32/hr

Greg’s rate = $480/24 hrs = $20/hr

Therefore

Josh makes $12/hr more than Greg

Answer:

IT IS B

Step-by-step explanation:

While waiting for a bus after school, Renae programmed her MP3 player to randomly play two songs from her playlist, below. Assume that the MP3 player will not playthe same song twice. Homework Help
a. A sample space is a list of all possible outcomes for a probabilistic situation. List the sample space for all the
combinations of two songs that Renae could select. The order that she hears the songs does not matter for your list.
How can you be sure that you listed all of the song combinations?
b. Are each of the combinations of two songs equally likely? Why is that important?
c. Find the probability that Renae will listen to two songs with the name "Mama" in the title.
d. What is the probability that at least one of the songs will have the name "Mama" in the title?
e. Why does it make sense that the probability in part (d) is higher than the probability in part (c)?
PLAYLIST
a. I Love My Mama (country)
by the Strings of Heaven
b. Don't Call Me Mama (country) Duet
by Sapphire and Hank Tumbleweed
c. Carefree and Blue (R & B)
by Sapphire and Prism Escape
40²
d. Go Back To Mama (Rock) Duet
by Bjorn Free and Sapphire
e. Smashing Lollipops (Rock)
by Sapphire

Answers

Answer:

a. A sample space is a list of all possible outcomes for a probabilistic situation. List the sample space for all the

combinations of two songs that Renae could select. The order that she hears the songs does not matter for your list.

How can you be sure that you listed all of the song combinations?

Step-by-step explanation:

CPM EDUCATIONAL PROGRAM

hope this helps!!

(5.4*10^-1)(7*10^0) simplify. write each answer in scientific notation

Answers

$(5.4*10^-1)(7*10^0) \n \n 5.4 * 10^(-1) * 7 * 10^0 \ / \ simplify \ brackets \n \n 37.8 * 10^(-1) * 10^0 \ / \ simplify \n \n 37.8 * 10^(-1) \ / \ product \ rule \n \n Answer: 37.8 * 10^(-1)$

Which number is equal to 4/2

Answers

Answer:

Step-by-step explanation:

4/2 is the same as 4 divided by 2

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