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Vladimir79 [104]
3 years ago
6

The half-life of a certain radioactive material is 71 hours. An initial amount of the material has a mass of 722 kg. Write an ex

ponential function that models the decay of this material. Find how much radioactive material remains after 17 hours. Round your answer to the nearest thousandth.
Mathematics
1 answer:
Bad White [126]3 years ago
6 0
<span>Use the radioactive decay formula: A = Ao*2^(-t/h), where

A = 722*2^(-17/71)
find 2^(-17/71) with a calc
A = 722*.847076
A = 611.59 kg after 17 hrs</span>
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What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?
Shalnov [3]
<h2>The value of StartFraction 6 Over x EndFraction + 2x2, when x = 3 is 20.</h2>

Explanation:

The given expression is \frac{6}{x}+2x^2\\

When x = 3, the expression becomes \frac{6}{3}+2(3)^2

2+2\times9

= 2 + 18 = 20

4 0
3 years ago
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Find the length of AB
Paraphin [41]

Answer:

52

Step-by-step explanation:

AB is the hypotenuse of the right triangle

sin34 = opp/hyp = 29/hyp

hyp = 29/sin34 = 51.860457849...

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Find the greatest common factor for the group of numbers. 12 ​, 28 ​, 24
irakobra [83]
The greatest common factor, or GCF, is quite self-explanatory. Between two numbers, you have to find the greatest number that can be divided by both numbers without any remainder. This is useful in solving addition and subtraction operations involving fractions. The technique to do this is to place the numbers to the right. Then, place the factors to the left. I'm gonna show the solution so that you can understand better.

  4   |   12    28    24
       ----------------------
       |     3     7      6
       ----------------------

Since all numbers can be divided by 4, you place it on the left side. Then, place the quotients on the next row below. Since, there is no more common factor, it ends with the 2nd row. Then, multiply all the left numbers with the numbers in the very last column.

GCF = 4×3×7×6
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8 0
4 years ago
byron purchased a $5000 certificsye of deposit at his local bank the cd will pau him 7% simple interest at the end of 2 years ho
Mekhanik [1.2K]
5000(1+.07)^2
5000(1.07)^2
5000(1.14)
5,700
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4 0
3 years ago
I went to the grocery store with $50. I purchased two gallons of milk for $3 each, a loaf of bread for $2, and three dozen of eg
Fofino [41]

Answer:

The answer to your question is $36

Step-by-step explanation:

Data

Total money = $50

2 gallons of milk = $3

a loaf of bread = $2

a dozen of eggs = $3

Write an equation to solve this problem

Cost of 2 gallons of milk + a loaf of bread + 3 dozens of eggs + remainder = total cost

Substitution

                          $3 + $2 + 3($3) + remainder = $50

Simplification

                          3 +  2 + 9 + remainder = 50

                          remainder = 50 - 3 - 2 - 9

result

                         remainder = $36                      

4 0
3 years ago
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