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nikitadnepr [17]
3 years ago
6

A cone has a height of 18 yards and a diameter of 28 yards. What is its volume?

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

504

Step-by-step explanation:

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Element X is a radioactive isotope such that every 30 years, its mass decreases by half. Given that the initial mass of a sample
Lena [83]

Answer:

19.3 years

Step-by-step explanation:

Given that the initial mass of a sample of Element X is 100 grams,

The formula is given as:

N(t) = No × (1/2) ^t/t½

Element X is a radioactive isotope such that every 30 years, its mass decreases by half.

N(t) = Mass after time (t)

No = Initial mass = 100 grams

t½ = Half life = 30 grams

N(t) = 100 × (1/2) ^t/30

How long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?

This means we are to find the time

N(t) = 100 × (1/2) ^t/30

N(t) = 64 grams

64 = 100(1/2)^t/30

Divide both sides by 100

64/100 = 100(1/2)^t/30/100

0.64 = (1/2)^t/30

Take the Log of both sides

log 0.64 = log (1/2)^t/30

log 0.64 = t/30(1/2)

t = 19.315685693242 years

Approximately = 19.3 years

8 0
3 years ago
Anne is comparing savings accounts. One account has an interest rate of 1.2 percent compounded yearly, and one account has an in
Varvara68 [4.7K]
In short and without much fuss

let's say Anne puts "x" amount in the account at 1.2% rate annually, that means after 1 year, she will have "x" + 1.2% of "x", or 1.012x to be exact.

the 1.2% rate, kicks in as the period of a year is met.

now, what if Anne puts it in the monthly compounded type?  that means, the compounding period is a month, so after 1 month, she has 1.2% extra, or 1.012x, and after 2 months, she will have 1.2% extra of 1.012x, or 1.012144x, and after 3 months, she will have 1.2% extra of 1.0121x, or 1.012145728x and so on.

anyhow, the shorter the compounding period, the more the 1.2% kicks in, the more accumulation in the account.
5 0
3 years ago
A pharmacist weighed eight different capsules of the same compound and recorded these measurements: 2312 mg, 2313 mg, 2315 mg, 2
Orlov [11]

median = 2317

mean = 2,316.875

8 0
3 years ago
An election ballot asks voters to select 6 city commissioners from a group of 15 candidates. In how many ways can this be​ done
poizon [28]
This is a combination since the order doesn't matter
C(15, 6) = (15 * 14 * 13 * 12 * 11 * 10)/(6 * 5 * 4 * 3 * 2 * 1)
C(15, 6) = 3603600/720
C(15, 6) = 5005 different combinations of votes
4 0
3 years ago
Write the first five terms of the the sequence defined by the explicit formula an=72(1/3)^n-1
lisabon 2012 [21]

a_n=72\left(\dfrac{1}{3}\right)^{n-1}\\\\\text{Put}\ n=1,\ n=2,\ n=3,\ n=4,\ n=5\ \text{to the equation}:\\\\n=1\to a_1=72\left(\dfrac{1}{3}\right)^{1-1}=72\left(\dfrac{1}{3}\right)^0=72(1)=72\\\\n=2\to a_2=72\left(\dfrac{1}{3}\right)^{2-1}=72\left(\dfrac{1}{3}\right)^1=72\left(\dfrac{1}{3}\right)=\dfrac{72}{3}=24\\\\n=3\to a_3=72\left(\dfrac{1}{3}\right)^{3-1}=72\left(\dfrac{1}{3}\right)^2=72\left(\dfrac{1}{9}\right)=\dfrac{72}{9}=8\\\\n=4\to a_4=72\left(\dfrac{1}{3}\right)^{4-1}=72\left(\dfrac{1}{3}\right)^3=72\left(\dfrac{1}{27}\right)=\dfrac{72}{27}=\dfrac{8}{3}\\\\n=5\to a_5=72\left(\dfrac{1}{3}\right)^{5-1}=72\left(\dfrac{1}{3}\right)^4=72\left(\dfrac{1}{81}\right)=\dfrac{72}{81}=\dfrac{8}{9}\\\\Answer:\ \boxed{72,\ 24,\ 8,\ \dfrac{8}{3},\ \dfrac{8}{9}}

8 0
3 years ago
Read 2 more answers
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