R is between S and T, so this implies that R is on line ST and we can say
SR+RT = ST
plug in the given expressions to get
(-2x+24)+(4x+10) = 4x+12
Now solve for x
(-2x+24)+(4x+10) = 4x+12
-2x+24+4x+10 = 4x+12
2x+34 = 4x+12
2x+34-2x = 4x+12-2x
34 = 2x+12
34-12 = 2x+12-12
22 = 2x
2x = 22
2x/2 = 22/2
x = 11
If x = 11, then RS is,
RS = -2*x+24
RS = -2*11+24
RS = -22+24
RS = 2
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Answers:
x = 11 and RS = 2
ANSWER
The pendulum's maximum displacement is 2cm.
EXPLANATION
The maximum value of the graph is the pendulum's maximum displacement.
The graph is a periodic function
The amplitude of the graph is 2.
The range of the graph is -2≤y≤2
The maximum value is 2.
The pendulum's maximum displacement is 2cm
The correct choice is B.
Answer:
The slope of the line would be 0.00910 in a logarithm graphic.
Step-by-step explanation:
Statement is incomplete. The correct sentences are:<em> The increase in the number of humans living on Earth (N, as measured in billions) with time t (as measured in years since 1800) is modeld by the following function: N = 0.892e^0.00910t. If you were to graph in ln (N) versus t, what would be the slope of the line?</em>
Let be 
, where 
is the number of humans living on Earth, measured in billions, and 
is the time, measured in years since 1800. As we notice, this is an exponential function and its slope is not constant and such expression have to be linearized by using a logartihm graphic. We add logarithms on each side of the formula and simplify the resulting expression by means of logarithmic properties:
In a nutshell, the slope of the line would be 0.00910 in a logarithm graphic.
