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ipn [44]
3 years ago
11

A radioactive isotope has a half life of 4.51 days. If 12.63 grams are now present, how much will be left after 15

Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0

Answer:

Step-by-step explanation:

f=ir^t\\ \\ \frac{1}{2}=r^{4.51}\\ \\ ln(0.5)=4.51lnr\\ \\ r=e^{\frac{ln0.5}{4.51}}\\ \\ r\approx 0.8575\\ \\ f(15)=12.63(0.8575^{15}\\ \\ f(15)\approx 1.26g

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How to find the discriminant of
Sonbull [250]

the discriminant   b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0

13x^2-16x = x^2 -x

we need to get in it the standard form

subtract x^2 from each side

12x^2 -16x = -x

add x to each side

12x^2 -15x = 0

12x^2 -15x -0 =0

a=12 b=-15 c=0

b^2 -4ac

the discriminant = b^2

b^2 = (-15)2 = 225


5 0
3 years ago
A square has a side length of 2.5 feet if the square is dilated by a factor of 2.5 what is the length of a side of the new squar
Anni [7]

Answer:

6.25

Step-by-step explanation:

You would multiply 2.5 by itself since you're dilating your side length.

6 0
3 years ago
Please help!! Math | 25 points :)
arlik [135]

Values of the composite function:

(g\cdot f)(-1)=6

(g\cdot f)(0)=7

(f\cdot g)(-1)=3

(f\cdot g)(4)=2

Step-by-step explanation:

Given two functions f(x) and g(x), their composite function is given by

(f\cdot g)(x) = f(g(x))

Which means using the output value of g(x) as input for f(x).

Let's start by computing

(g\cdot f)(-1)

First, we compute the value of f(-1), which is (from the graph)

f(-1) = 1

Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:

(g\cdot f)(-1)=6

Now we evaluate

(g\cdot f)(0)

First, we compute the value of f(0), which is (from the graph)

f(0) = 0

Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:

(g\cdot f)(0)=7

Now we evaluate

(f\cdot g)(-1)

First, we compute the value of g(-1), which is (from the graph)

g(-1) = 5

Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:

(f\cdot g)(-1)=3

Finally we evaluate

(f\cdot g)(4)

First, we compute the value of g(4), which is (from the graph)

g(4) = 4

Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:

(f\cdot g)(4)=2

Learn more about composite functions:

brainly.com/question/2723982

brainly.com/question/2456302

brainly.com/question/1949601

brainly.com/question/1900154

#LearnwithBrainly

6 0
3 years ago
HELP ASAP!!!<br> If f(x) = -4x + 1, find f(2).<br> Enter the numerical value only
ad-work [718]

Answer:

-7

Step-by-step explanation:

-4(2)=-8

-8+1=-7........

8 0
2 years ago
A new car worth 30,000 is depreciating in value by $3,000 per year. After how many years will the car’s value be $6,000?
ludmilkaskok [199]

Answer: 8 years

Step-by-step explanation:

1 year: 27,000

2 years:24,000

3 years:21,000

4 years:18,000

5 years: 15,000

6 years:12,000

7 years:9,000

8 years:9,000

6 0
3 years ago
Read 2 more answers
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