Answer: each width = 10, each length = 21
Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21
Answer:
"a container with the dimensions 3 by 5 by 10 inches"
Step-by-step explanation:
To find volume of rectangular box, we multiply the length, width, and height. Or if given in 3 dimensions form, we multiply all 3.
Lets find volume of each of the answer choices:
a container with the dimensions 2 by 5 by 10 inches = 2 * 5 * 10 = 100
a container with the dimensions 3 by 4 by 10 inches = 3 * 4 * 10 = 120
a container with the dimensions 3 by 5 by 10 inches = 3 * 5 * 10 = 150
a container with the dimensions 4 by 2 by 10 inches = 4 * 2 * 10 = 80
We want a container LARGE ENOUGH to contain a volume of 130 cubic inches. Which of the containers has a volume GREATER than 130?
Yes, only the 3rd option. It is 150 cubic inches in volume.
So, this is the answer:
a container with the dimensions 3 by 5 by 10 inches
Answer:
The bone is 14572 years old.
Step-by-step explanation:
There is 17% as much Carbon-14 in the ancient bones as from current bones and the decay constant is given as 0.0001216 for time in years.
The equation for radioactive decay is N = N₀ e^(-λt)
where t = time in years
λ = decay constant
N = final amount of carbon
N₀ = initial amount of carbon.
There is 17% as much Carbon-14 in the ancient bones as in current bones. So,
N = 17% of N₀
N = 0.17N₀
So, N/No = 0.17.
N = N₀ e^(-λt)
N/N₀ = e^(-λt)
0.17 = e^(-0.0001216t)
ln (0.17) = -0.0001216t
-0.0001216t = -1.7719568
t = -1.7719568/-0.0001216
t = 14572 years
B
a
c
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