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2 years ago

If f(x) = (1/8)(8^x), what is f(3)?

Mathematics

2 answers:

faust18 [17]2 years ago

5 0

Answer:

f(3)=64

Step-by-step explanation:

f(3)=(1/8)(8 cubed)

f(3)= 8 to the negative one times 8 cubed

f(3)= 8 squared

f(3)=64

Crank2 years ago

4 0

Answer:

f(3) = 64

Step-by-step explanation:

In this question, you would plug in "3" to "x" and solve.

Solve:

f(3) = (1/8)(8³)

f(3) = (1/8)(8·8·8)

f(3) = (1/8)(512)

f(3) = 512/8

Simplify.

f(3) = 64

Your final answer would be f(3) = 64

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Vehicles leave an airport parking facility (arrive at parking fee collection booths) at a rate of 500 veh/h (the time between ar

Nutka1998 [239]

Answer:

At least 3 processing booths should be open.

Step-by-step explanation:

1 vehicle spends an average of 15 seconds in a booth

In N booths , there will be N/15 vehicles in 1 second

In 1 hr, there will be N/15 * 3600 vehicles

Therefore, there will be a total of 240N vehicles/hour

Actual arrival rate of vehicles at the airport is 500 veh/h

Probability of arrival, P = $\frac{Number of possible outcomes}{Total outcomes}$

P = 500/240N

P = 2.083/N

For the average time spends to be below 5 seconds

$\frac{(\frac{P^{2} }{1-p} )}{500} = 5$ , since 500 is the average value.

$\frac{P^{2} }{1-p} } = 2500\\P^{2} = 2500 (1-P)\\P^{2} = 2500 - 2500P\\(\frac{2.083}{N}) ^{2} = 2500 - 2500(\frac{2.083}{N})$

$2.083^{2} = 2500N^{2} - 5208N\\2500N^{2} - 5208N - 4.34 = 0$

$N^{2} -2.0832N - 0.0017 = 0$

Solving for N using the quadratic formula with a = 1, b = -2.0832, c = -0.0017

$N = \frac{-b \pm \sqrt{b^{2} -4ac} }{2a} \\N = \frac{2.0832 \pm \sqrt{(-2.0832)^{2} -4*1*(-0.0017)} }{2}$

N = 1.0416 ± 1.0424

N = 2.084 or -0.0008

N = 2.084 is the only realistic value here

Therefore, the smallest number of processing booths that must be open should be 3

5 0

2 years ago

On the plans for new house, the house is 18 inches wide by 20 inches long. If the house is actually going to be 27 feet wide, wh

Kipish [7]

Its to scale. so every inch is 1.5 feet according to the statement of 18 inches being equal to 27 feet. In that case, the answer is C. because 20X1.5 is 30

6 0

2 years ago

The length of a rectangle is 2m longer than its width.

blsea [12.9K]

Answer:

35m

Step-by-step explanation:

length = 2+w

width = w

Perimeter = 2(length)+2(width)

24 = 2(2+w)+2(w) = 4+2w+2w = 4+4w

24=4+4w

4w=20

w=5

width =5

length = 2+5 = 7

Area = (length)(width) = 5(7) = 35m

8 0

2 years ago

Solve for x help me pls

Maksim231197 [3]

Solve it separately
$5x-29 \ \textgreater \ -34
$
add 29 to both sides then divide by 5
$x\ \textgreater \ -1$
for the second part
$2x+31\ \textless \ 29$
subtract 31 from both sides then divide by two
$x\ \textless \ -1$
which means the final answer is A
$x\ \textless \ -1 \\ or \\ x\ \textgreater \ -1$

7 0

3 years ago

A robot can complete 5 tasks in 3/4 hour each task takes the same amount of time a. how long does it take the robot to complete

slamgirl [31]

Answer:

Step-by-step explanation:

a. it takes 9 minutes for the robot to complete one task

b. In one hour then robot can complete 6.7 tasks however since you reallly cant quantify .7 tasks the robot can only complete 6 tasks

4 0

2 years ago

Read 2 more answers