Answer:
Amplitude 2
Period: 
Phase shift: 
units to the right
Step-by-step explanation:
The given function is 
This function is of the form 
where 
is the amplitude.
The period is 
This function is shifted units to the right
Answer: He can make 3 batches of soup.
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3
Hope this helps... Stay safe and have a great day/night!!! :D
Answer:
$ 30,000
Step-by-step explanation:
0.15(50,000 - x) - 0.1x = 2,500
7,500 - 0.15x - 0.1x = 2,500
7,500 - 2,500 = 0.15x + 0.1x
5,000 = 0.25x
5,000/0.25 = x
x =20,000
50,000 - 20,000 = 30,000
0.15 * 30,000 = $4,500
0.1 * 20,000 = $2,000
$4,500 - $2,000 = $2,500
Using the diameter, we can find the circumference of the wheel.
Circumference = 2 * pi * radius
To find the radius, divide the diameter by 2. 6/2 = 3; your radius is 3.
2 * pi * 3 = 6 pi.
The circumference is 6pi. Leave it like this for an accurate answer in the next step.
If the rope can wrap around the wheel 3 times, then it can do 3 times the circumference.
3 * 6pi = 18pi
18pi ≈ 56.549 meters (round to whatever decimal you deem fit for 18pi).
The length of the rope is 18pi or approximately 56.549 meters long.
Realistically though, the answer would be more than 18pi meters long because the problem does not say it wraps around exactly 3 times. It just says it can completely wrap around the wheel. That's not what you should go with though; that's just me being nit-picky.
Answer: 3/52
Step-by-step explanation: There are 3 face diamonds in a deck of 52 cards making it a 3/52 chance of pulling one.
