Answer:
- 3.68 feet using given equation (wrong)
- 12.5 feet using correct equation
Step-by-step explanation:
You can use the given (incorrect) equation and fill in the value of t to find h:
h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet
__
Or, you can use the correct equation, or just your knowledge of revolutions:
h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet
in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 <em>full revolutions</em>, so is back where it started — at 12.5 feet above the ground.
Answer:
12.5 miles per hour
Step-by-step explanation:
This is a fraction equal to
25 miles ÷ 2 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
<u>25 miles </u>÷ 2
2 hours ÷ 2
<u>12.5 miles</u>
1 hour
= 12.5 miles per hour
Answer:
Either: 1 neg, 3 pos, 0 imaginary; 1 neg, 1 pos, 2 imaginary
Step-by-step explanation:
Look for the positive possibilities first. Count the numbe of sign changes then subtract 2, if possible, as many times as you can.
There are 3 sign changes. So the possible positive roots are either 3 or 1.
Now look for the negative possibilities. Replace each x with a -x and then count the sign changes. Replacing with -x's gives you this polynomial:

There is only one sign change here, so the possible negative roots is 1. Start with the negative roots to find the possible combinations of positive, negative, and imaginary, since there is only 1.
- 1 1
+ 3 1
i 0 2
Since this is a 4th degree, the number of roots we have has to add up to equal 4.
Multiply each number by 4
1*4= 4
4*4=16
16*4= 64
64*4= 256
256*4= 1024
Answer: 4
Answer:
1. 
2. 
Step-by-step explanation:
1. You know that the average mass of an onion is 115 grams and Bill needs 4.0 pounds.
Then, since
, we can make the following conversion:

Then, the number of onions Bill needs is:
≈ 
2. Since
, we can make the following conversion:

Knowing that all the potatoes sold today at the store bring in $1,420 and 4.98 kilograms of potatoes is $1.75, we can calculate the amount of kilograms the grocery shoppers bought:
