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spin [16.1K]
3 years ago
8

Bob has 28 shirts to fold.

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0
I’m pretty sure the equation is 28-f=n
and the answer is 2.
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Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am
zheka24 [161]

SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

So we are looking for the time

Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

8 0
1 year ago
Carlos has been given a list of 5 bands and asked to place a vote. His vote must have the names of his favorite, second favorite
Alex_Xolod [135]

Answer:

25

Step-by-step explanation:


8 0
3 years ago
Which function has a greater y-intercept?
Natali5045456 [20]

Answer:

Option C, both functions have an y-intersect equal to 2.

Step-by-step explanation:

When we have a function f(x), the y-intercept is the value f(0). This is the point where the graph of the function intersects the y-axis.

Then, for f(x) = -x^2 + 5*x + 2

The y-intercept is:

f(0) = -0^2 + 5*0 + 2 = 2

f(0) = 2

And for g(x) we do not have the equation, but we have the graph, so we can just look at which value of y does the graph intersects the y-axis.

We can see that the graph intersects the graph at y = 2

Then the y-intersect is: g(0) = 2

So both functions have the same y-intersect. Then the correct option is C.

4 0
3 years ago
One number is 1/4 of another number. The sum of the two numbers is 5. Find the two numbers. Use a comma to separate your answer
masha68 [24]

Answer: 1, 4

Step-by-step explanation:

  • Number #1 = x
  • Number #2 = \frac{1}{4} x

\frac{1}{4} x+x=5\\\\\frac{1}{4} x+\frac{4}{4} x=5\\\\\frac{5}{4} x=5\\\\5x=4*5\\5x=20\\x=4

  • Number #1 = x = 4
  • Number #2 = \frac{1}{4} x = \frac{1}{4} *4=\frac{4}{4} =1
6 0
3 years ago
21 is 20% of what number
Ksenya-84 [330]

Answer:

21 is 20% of 105

Step-by-step explanation:

20% * x = 21

20/100 * x = 21

x = 21 * 100/20

x = 105

If you are using a calculator, simply enter 21×100÷20, which will give you the answer.

6 0
4 years ago
Read 2 more answers
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