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stiks02 [169]
3 years ago
11

PROBLEM SOLVING When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y in grams) of carbon-

14 in the body of an organism after t years is y= a(0.5)^t/5730, where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round your answer to the nearest hundredth.
Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

Answer:

0.01%

Step-by-step explanation:

y=a (0.5)^t/5730

y=a [(0.5)^t/5730]

when you put 0.5^1/5730

it'll give you 0.99

The "equation" is y=a(1-r)^t

so 1-0.99 is 0.01

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If the ratio of purple bikes to red bikes is 8 to 12 and there are a total of 100 bikes, how many of them are purple? * 40 purpl
Marrrta [24]

Answer:

60

Step-by-step explanation:

sum the parts of the ratio, 8 + 12 = 20 parts

Divide the total by 20 to find the value of one part of the ratio

100 ÷ 20 = 5 ← value of 1 part of the ratio , thus

8 parts = 8 × 5 = 40 ← number of purple bikes

4 0
3 years ago
A pack of 5 book costs $18.75. A pack of 3 books $12.75. Which pack has the the lowest cost per books (hint - find the unit rate
vredina [299]
18.75÷5=3.75
12.75÷3=4.2
The pack of 5 books has the lower cost per book
4 0
2 years ago
State the value of the discriminant for <br><br>y = <img src="https://tex.z-dn.net/?f=5x%5E2%2B9x-3" id="TexFormula1" title="5x^
Nostrana [21]

Answer:

141, meaning that there will be two real solutions

Step-by-step explanation:

The discriminant of a quadratic is b^2-4ac, which in this case is:

9^2-4(5)(-3)=81+60=141

Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.

Hope this helps!

3 0
3 years ago
The product of three and a squared number is twice the sum of the number and four
Setler [38]
3x^2 = 2(x + 4)
3x^2 = 2x + 8
3x^2 - 2x - 8 = 0
(3x + 4)(x - 2) = 0

3x + 4 = 0
3x = -4
x = -4/3

x - 2 = 0
x = 2

solution is : x = -4/3 or x = 2 <==
3 0
3 years ago
Read 2 more answers
Jason won 115 super bouncy ballsplaying horseshoes at the county fair. At
STatiana [176]

Answer:

28 students

Step-by-step explanation:

Work backwards.

First, subtract 3:

115 - 3 = 112

Then, divide by 4:

112 ÷ 4 = 28

So, there are 28 math students in his class.

7 0
2 years ago
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