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ANTONII [103]
4 years ago
6

I NEED AN ANSWER ASAP, THANKS

Mathematics
1 answer:
Naddik [55]4 years ago
7 0
V = 4/3πr^3V = 4/3 (π) (6.5)^3
V = 366.1666π (6 repeat)
answer is 366.16 π (3rd choice)
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The function A=A_oe^{-0.01155x} A = A o e − 0.01155 x models the amount in pounds of a particular radioactive material stored in
vivado [14]

They are essentially asking us to solve:

357=900e^{-0.01155x} \implies\\ \frac{357}{900}=e^{-0.01155x} \implies\\ \ln{\frac{357}{900}}=-0.01155x \implies \\ x\approx 80.1

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.

4 0
3 years ago
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Calculate the number of subsets and the number of proper subsets for the set.
arlik [135]

A set of n elements has 2ⁿ subsets. One of these subsets is the set itself, so this set would have 2ⁿ - 1 <em>proper</em> subsets.

The given set has 4 elements, so it has 2⁴ = 16 subsets and 2⁴ - 1 = 15 proper subsets.

Just to illustrate the claim, we have

• subsets of size 0 (1 of these):

{ } (empty set)

• subsets of size 1 (4 of these):

{1/6}, {1/7}, {1/8}, {1/9}

• subsets of size 2 (6 of these):

{1/6, 1/7}, {1/6, 1/8}, {1/6, 1/9}, {1/7, 1/8}, {1/7, 1/9}, {1/8, 1/9}

• subsets of size 3 (4 of these):

{1/6, 1/7, 1/8}, {1/6, 1/7, 1/9}, {1/6, 1/8, 1/9}, {1/7, 1/8, 1/9}

• subsets of size 4 (1 of these):

{1/6, 1/7, 1/8, 1/9}

and the last one is the only subset that is not a proper subset, because that subset = the set.

6 0
2 years ago
amy borrows $130 to buy supplies for her birthday party. she receives gifts and money from her friends and family. the total amo
OLga [1]

Answer:

Step-by-step explanation:

If Amy received 250 dollars for her bday, but she borrowed before 130,

she will have left:

250-130=120 dollars

3 0
3 years ago
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I don’t know..........
SOVA2 [1]

Answer:

\frac{3}{2 }

5 0
4 years ago
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What is the pattern here?
tigry1 [53]
To get the number at the back, you would need to multiply the number in front by 3 and minus 1.
The answer would be A
8 0
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