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Crazy boy [7]
3 years ago
7

The amount of radioactive element remaining, r, in a 100mg sample after d days is represented using the equation r=100(1/2) d/5.

What is the daily percent of decrease
Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

Answer:

   12.94%

Step-by-step explanation:

r = 100(1/2)^(d/5) = 100((1/2)^(1/5))^d ≈ 100(.87055)^d

The daily decrease is 1 - 0.87055 = 0.12944 ≈ 12.94%

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At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Gnoma [55]

There would be 12 people at the party!

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

Hope this helps!

3 0
3 years ago
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A community organizes a phone tree in order to alert each family of emergencies. In the first stage, one person calls five famil
masya89 [10]
Answer: It will take 7 stages for all 19,530 families to be called.

In the first stage, only 5 families are called.

In the second stage, we would have 5 x 5 = 25 families being called.

In the third stage, we would have 5 x 5 x 5 = 125 families being called.
We can use exponents to finish the list and see when our goal is reached.

4th stage: 5^4 = 625

5th stage: 5^5 = 3125

6th stage: 5^6 = 15625

7th stage: 5^7 = 78,125
6 0
3 years ago
Please help I have no clue how to do this​
Alinara [238K]

Step-by-step explanation:

It's a question of trigonometry.

You need to remember that tangent (tan) stands for Perpendicular / Base.

So, tan P = QR / PR

By Pythagoras Theorem,

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x² = 34² - 30²

x² = 1156 - 900

x² = 256

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Now, placing the values,

tan P = 30 / 16

tan P = 1.875

HOPE IT HELPS ^_^

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Multiply the price by (1 + sales tax).

85 x (1+0.07)

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He will pay $90.95

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3 years ago
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Ainat [17]
The answer would be the first one or 3y2, this is because it goes into each term evenly enough to simplify it.
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3 years ago
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