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almond37 [142]
4 years ago
6

HELP QUICK IM GIVING 21 POINTS AND A BRAINLIEST AWARD

Mathematics
2 answers:
Andrei [34K]4 years ago
6 0

Answer:

10:45

Step-by-step explanation:

v...speed = 40 mph

s...distance = 60

t...time

if he was 15 min late he arrived at 12:15

v=s/t => t=s/v

t = 60/40 = 1.5 h = 1h and 30 min

if he arrived at 12:15 and he was driving for an hour and a half just substract

12:15 - 1:30 = 11:15 - 0:30 = 10:45

he left at 10 45

iren [92.7K]4 years ago
5 0
V...speed = 40 mph
s...distance = 60
t...time

if he was 15 min late he arrived at 12:15

v=s/t => t=s/v
t = 60/40 = 1.5 h = 1h and 30 min

if he arrived at 12:15 and he was driving for an hour and a half just substract
12:15 - 1:30 = 11:15 - 0:30 = 10:45

he left at 10 45



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You’re piloting an airplane to prepare for landing you change the planes altitude from a meters to c meters.
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Answer:

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Step-by-step explanation:

If I am piloting an airplane to prepare for landing, I change the plane's altitude from a meters to c meters, then the expression that represents the distance between two altitudes is given by |a-c| meters, not by |a+c|.

For, example if the altitude of the plane changes from 1000 meters to 500 meters for preparing for landing then the distance between those two altitudes is |1000 - 500| = 500 meters. (Answer)

But using the expression |a+c|, I will get the wrong answer as |1000 + 500| = 1500 meters.

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<h2>Exponential Functions</h2>

Exponential functions are typically organized in this format:

f(x) = a*c^x

To find the equation given the graph of an exponential function:

  1. Identify the horizontal asymptote
    ⇒ <em>asymptote</em> - a line towards which a graph appears to travel but never meets
    ⇒ If the horizontal asymptote is not equal to 0, we add this at the end of the function equation.
  2. Identify the y-intercept
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  3. Identify a point on the graph and solve for <em>c</em>

<em />

<h2>Solving the Question</h2>

Identify the horizontal asymptote

In this question, it appears to be x = 0.

Identify the y-intercept

The y-intercept is the value of <em>y</em> at which the graph appears to cross the y-axis. In this graph, it appears to be 100. This is our <em>a</em> value. Plug this into f(x) = a*c^x:

f(x) = 100*c^x

Solve for <em>c</em>

We can use any point that falls on the graph for this step. For instance, (1,50) appears to be a valid point. Plug this into our equation and solve for <em>c</em>:

f(x) = 100*c^x\\50 = 100*c^1\\50 = 100*c\\\\c=\dfrac{1}{2}

Plug <em>c</em> back into our original equation:

f(x) = 100*(\dfrac{1}{2})^x

<h2>Answer</h2>

f(x) = 100*(\dfrac{1}{2})^x

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