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Oxana [17]
4 years ago
10

I need help with this

Mathematics
1 answer:
Pepsi [2]4 years ago
5 0
You must graph the two given lines and find their point of intersection.  It is (10,5).  Shade the areas BELOW each of the 2 lines.  One line intersects the y-axis  at (0,15) and the other line intersects the x-axis at (12.5,0)
Thus, you have an area defined by the vertices given above.  

What to do next?  Steal the coordinates of each point and subst. them into the given objective function P = 15x + 20y.  For exampel, for (12.5,0), the value of P is 15(12.5) + 20(0) = 187.5.

Find P for each of the remaining 3 vertices.

The largest value of P is the answer to this question.
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Between the years of 1947 and 1956, earthenware jars containing what are known as the Dead Sea Scrolls were found in caves along
lidiya [134]

Answer:

They are right, the time calculated using the exponential decay equation is 1948.6 years.

Step-by-step explanation:

The time can be calculated using the exponential decay equation:

N_{(t)} = N_{0}e^{-\lambda t}     (1)

<u>Where</u>:

N(t): is the quantity of C-14 at time t

N₀: is the initial quantity of C-14

λ: is the decay constant  

The decay constant is:

\lambda = \frac{ln(2)}{t_{1/2}}   (2)    

By entering equation (2) into (1) and solving for t, we have:

t = \frac{t_{1/2}*ln(N_{t}/N_{0})}{ln(2)} = \frac{5730*ln(0.79)}{ln(2)} = 1948.6 y

Therefore, the time of the scrolls estimated by the archeologists is right, since the time calculated using the exponential decay equation is 1948.6 years.      

I hope it helps you!

8 0
3 years ago
Express Taxi charges $10 as the starting fare and $2.50 per mile. Speedy Taxi charges $3 per mile with no starting fare. After h
Rina8888 [55]

Answer:

4 miles

Step-by-step explanation:

5 0
3 years ago
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What is the slope of the line passing through the points (5,7) and (−1,19)?
N76 [4]
The slope is -2..........
6 0
3 years ago
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Given the function, f(x)=x^2-3 , calculate the average rate of change of the function from x=1 to x=3
viktelen [127]
Rate of change(m) = (f(3) - f(1))/(3-1)

m = (6 - -2)/(3-1)
m = 8/2
m = 4
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3 years ago
Graph the function. h ( x ) = 8 ⋅ ( 3 4 ) x h(x)=8⋅( 4 3 ​ )
Darya [45]

answer....

Step-by-step explanation:

h

(

x

)

=

3

x

+

8

7 0
3 years ago
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