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Rudik [331]
3 years ago
12

Evaluate the exponential expression. 3•42

Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0

Answer:

48

Step-by-step explanation:

Trust me

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HELP ASAP!<br> Show your work also
vampirchik [111]
For the square part- 10*10=100sq in

For the half circle
r=5
5*5=25
3.14*25=78.5
5 0
2 years ago
What is the solution to the equation 3 − 4(2m + 6) + 3m = −16? (put number answers only)
NISA [10]

Answer:

1. -1

2.-4

3. 2

4.10

4 0
3 years ago
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each oth
sattari [20]
They are traveling at right angles to each other so we can say one is traveling north to south and the other west to east.  Then we can say that there positions, y and x are:

y=150-600t  x=200-800t

By using the Pythagorean Theorem we can find the distance between these two planes as a function of time:

d^2=y^2+x^2, using y and x from above

d^2=(150-600t)^2+(200-800t)^2

d^2=22500-180000t+360000t^2+40000-320000t+640000t^2

d^2=1000000t^2-500000t+62500

d=√(1000000t^2-500000t+6250)

So the rate of change is the derivative of d

dd/dt=(1/2)(2000000t-500000)/√(1000000t^2-500000t+6250)

dd/dt=(1000000t-250000)/√(1000000t^2-500000t+6250)

So the rate depends upon t and is not a constant, so for the instantaneous rate you would plug in a specific value of t...

...

To find how much time the controller has to change the airplanes flight path, we only need to solve for when d=0, or even d^2=0...

1000000t^2-500000t+62500=0

6250(16t^2-8t+1)=0

6250(16^2-4t-4t+1)=0

6250(4t(4t-1)-1(4t-1))=0

6250(4t-1)(4t-1)=0

6250(4t-1)^2=0

4t-1=0

4t=1

t=1/4 hr

Well technically, the controller has t<1/4 because at t=1/4 impact will occur :)


7 0
3 years ago
Given the following functions f(x) and g(x), solve for (f ⋅ g)(2) and select the correct answer below:
Marizza181 [45]
<h3>Answer:</h3>

-84

<h3>Explanation:</h3>

(f·g)(2) = f(2)·g(2)

... = (3·2²+2)·(2-8) = 14·(-6) = -84 . . . . . put the numbers in the function and do the arithmetic

7 0
3 years ago
Read 2 more answers
Write a real world problem for: f + 5 = 9
Triss [41]
9-5=4 Therefore f=4
Hope this helps
4 0
3 years ago
Read 2 more answers
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