Answer:
The bones were 12,485 years old at the time they were discovered.
Step-by-step explanation:
Amount of the element:
The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:
In which A(0) is the initial amount and k is the decay rate, as a decimal.
The radioactive element carbon-14 has a half-life of 5750 years.
This means that 
, and we use this to find k. So
So
A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?
Had 100 - 77.8 = 22.2% remaining, so this is t for which:
Then
The bones were 12,485 years old at the time they were discovered.
H(x) equals what? I think you've missed that detail. :)
The answer is 0 quarts.
Remember
1 gallon contains 64ounces
1 cup contains 8ounces
1 pint contains 16ounces
We know that 2 gallons (128oz total) are needed to fill the bucket.
First, Omar pours 64 ounces into the bucket so we have 128 - 64 = 64 ounces left to fill.
Second, Penny pours 8 cups which is the same as 64 ounces (8cups x 8 ounces = 64 ounces total) into the bucket.
Stop here and add up the water in the bucket.
The bucket has only 128 ounces capacity total which means Omar and Penny have filled up the bucket with 64 ounces each. 64 x 2 = 128 ounces
The bucket is full, Ronnie actually makes it overflow. So Sierra will pour 0 quarts of water into the bucket.
The Area of the platform is 33m²
Step-by-step explanation:
As the question says, the height of vertex from the base (D from AB) is 7m whereas the height of left vertex from the base (E from AB) is 4m
Thus it means the height of the Δ DCE (DX)= 7-4 ⇒3m
Since the platform is five-sided, the figure can be broken down into constituting parts
- Parallelogram ║ABCE
- Δ DCE
Are of the figure= Area of ║ABCE+ area Δ DCE
Area of ║ABCE= breadth * height
= 6*4 ⇒24m
²
Area Δ DCE= ½*(base)(height)
Putting the value of base is 6m and height as 3m
Area Δ DCE= ½*6*3
=9m
²
Total area= 24+9= 33m
²
