Answer:
The age of the pottery bowl to the nearest year is 15606 years.
Step-by-step explanation:
Let the initial amount of C-14 in the bowl i.e. 
and today (say after t years) the amount of C-14 in the bowl i.e. N = 21.
Therefore, from the given equation we can write
{Since, k is give to be 0.0001}
⇒ 
Now, taking ln on both sides we get
ln 0.21 = - 0.0001t (ln e) {Since, 
}
⇒ - 1.560647 = - 0.0001t {We have ln e = 1}
⇒ t = 15606.47 years ≈ 15606 years
Therefore, the age of the pottery bowl to the nearest year is 15606 years.(Answer)
<span>So we wan't to convert the temperature from Celsius scale to fahrenheit scale. The method fot that is this: First, 0 degrees Celsius or the starting point of Celsius scale is 32 degrees Fahrenheit. And the magnitude of a degree Fahrenheit is 1.8 times greater than the magnitude of a degree Celsius, or: 1F=1.8F. So now we can construct a function that will give us temperature in degrees Fahrenheit: T(F)=1.8T(C) + 32. We have T(C)= 40, and after we put that in our function we get: T(F)= 1.8*40 + 32 = 72 + 32 = 104 F. So 40 degrees Celsius is 104 degrees Fahrenheit. </span>
<span>1 1/2 = 3/2
3 1/3 = 10/3
3/2 / 10/3 = 3/2 x 3/10 = 9/20
answer
unit rate = 9/20 pages per minute</span>
The answer is 168 logs.
1st row: 15 logs
2nd row: 18 logs
3rd row: 21 logs
(so, each row has 3 more logs)
4th row: 24 logs
5th row: 27 logs
6th row: 30 logs
7th row: 33 logs
The sum of logs from each row is: 15 + 18 + 21 + 24 + 27 + 30 + 33 = 168 logs
Answer:
512 ft.
Step-by-step explanation:
From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.
Solution:
Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:
tan 25 = h/(x + 740)
h = (x + 740)tan 25 (1)
tan 55 = h / x
h = x tan 55 (2)
Hence:
(x + 740)tan 25 = xtan 55
0.4663(x + 740) = 1.428x
0.4663x + 345.07 = 1.428x
0.9617x = 345.07
x = 359 ft.
h = xtan55 = 359 tan(55) = 512 ft.
