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mixas84 [53]
3 years ago
13

Y² + 4x - 20 - 2y = -x²

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0

What we have to find in this question

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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
11 months ago
A refrigerator cools a bottle of water 2 degrees per minute. how many minutes will it take to lower its temperature from 90 degr
HACTEHA [7]
<span>It will take 20 minutes. The fridge needs to cool down by 90-50=40degrees. The fridge cools at 2 degrees per minute, i.e. 40/2=20 minutes total.</span>
8 0
3 years ago
Use the vertical-line test to determine whether the relation is a function. If not, identify two points a vertical line would pa
kicyunya [14]

Answer:

  not a function; (2, -2) and (2, 2)

Step-by-step explanation:

A vertical line has the same x-value for all of its y-values. Only the last answer choice lists two points on a vertical line. They also happen to be points on the graph, so it is NOT a function.

__

Any vertical line in the x-interval (-3, 3) will pass through the segments y=-2 and y=2. Vertical lines at x=-3 or x=3 will pass through an infinite number of points between y=-2 and y=2.

6 0
3 years ago
Is 70mg greater than 12 kg
Nina [5.8K]
No it is not because 12 kg is equal to 12,000,000mg, which is greater than 70 mg.
7 0
3 years ago
The function f(x)= 9√x gives the speed in feet per second (ft/s) of a free-falling object after it has fallen x feet (ignoring a
Naya [18.7K]

Answer:

45.9ft/s

Step-by-step explanation:

Simply plug your given value into the function

f(26)=9\sqrt{26} = 45.9 (1.d.p.)

3 0
3 years ago
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