Answer:
- Initial amount of the material is 67 kg
- Hal-life is 83 hours
<u>The required equation is:</u>
- m(x) = 67 *
, where m- remaining amount of the radioactive material, x - number of hours
<u>After 5 hours the material remains:</u>
- m(5) = 67 *
= 64.260 (rounded)
Answer: The area is 510.25 cm². If the circumference of the cap were smaller then the area would be smaller as well
Step-by-step explanation:
First, you must find the radius
<em>80.1 ÷ 3.14 = 25.5</em>
<em>25.5 ÷ 2 = 12.75 <---- radius</em>
Then from that, you find the area
A=πr²
<em>12.75² = 162.5</em>
<em>162.5 × 3.24 = 510.25</em>
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<em>Hope this was helpful!</em>
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Answer:
4 
km
Step-by-step explanation:
To find how much farther Hallie biked after lunch compared to the amount she biked before lunch, we can subtract the amounts:
6 
However, we can only subtract fractions that have the same denominator, so we need to convert 
to a fraction with a denominator of 8:
Now, we can't subtract 2 from 8, so we need to 'borrow' from the 6 to make the fraction larger:
Now subtract: 
To determine the nth term, we must create a function.
f(n) = 1st term + common difference (n - 1)
n = term you are looking for
1st term = 1st number in the sequence
common difference = the difference between two consecutive numbers in the sequence.
based on the above sequence, the 1st term is 2, its common difference is 3.
f(n) = 2 + 3(n-1)
Assuming we are looking for the 5th term
f(5) = 2 + 3(5-1)
= 2 + 3(4)
= 2 + 12
f(5) = 14 as you can see in the above sequence 14 is the 5th term.
For any other value of the nth term, simply substitute n by the number of the term and solve the equation.
Answer: 7.5
Step-by-step explanation:
Area of the bottom left triangle = 4x3/2 = 6
Bottom right = 6x3/2 = 9
Top right = 3x4/2 = 6
Top left = 6x3/2 = 9
6+9+6+9 = 30
Each square unit is 4
So the answer should be 30/4 = 7.5
Hope this is correct
