Answer:
6967 years
Step-by-step explanation:
Given the exponential function :
R=100e−0.00043t
Time = t in years
R = final amount
Number of years in which only 5 grams of radium will be present :
R = 5
Plugging into our formula :
5 = 100 * e^−0.00043t
5 / 100 = e^−0.00043t
0.05 = e^−0.00043t
Take the In of both sides
−2.995732 = - 0.00043t
t = −2.995732 / - 0.00043t
t = 6966.819
t = 6966.819 years
t = about 6967 years
You can solve by subtracting: 500-330
but I like to use mental math and think this way:
she has 330
70 more will give her 400
and 100 more will give her 500
100 + 70 is 170.
Answer:
Yes, the student is correct
Step-by-step explanation:
Given

Required
Does it represent the x intercept
At the x intercept, the value of x is 0.
So, the function
becomes 
can be compared to 
Hence, the student is correct
Answer:
E. 5
Step-by-step explanation:
Let's rewrite the equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
2x + y = 5
y = -2x+5
M, the slope, is -2
<u>5, b, is the y-intercept</u>
See attached graph.
Answer:
i hope this helps
Step-by-step explanation:
the pH of the solution is 5.74.