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LUCKY_DIMON [66]
3 years ago
6

What is the period of the function y=3/2con(3/5x)+5

Mathematics
1 answer:
jeyben [28]3 years ago
6 0

Answer:

y =  \frac{3}{2} cot( \frac{3x}{5} ) + 5 \\  \\  \pi \div \frac{3}{5} \\  \  \\  =  \frac{5\pi}{3} is \: period

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The probability that a plane departs on time at a certain airport is .87 The probability that a plane arrives on time given it d
sleet_krkn [62]

Answer:

0.9355

Step-by-step explanation:

What we will use here is conditional probability formula.

let A be the event that the plane departs on time

and B be the event that it arrives on time

P(A) = 0.87

P(B|A) = 0.93

P(B) = ?

P(A n B) = ?

Mathematically;

P(B|A) = P(B nA)/P(A)

0.93 = 0.87/P(A)

P(A) = 0.87/0.93

P(A) = 0.935483870967742

which is 0.9355 to four decimal places

7 0
3 years ago
A) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof
ollegr [7]

Answer:

g o f = g(f(x)) = 32x^2 + 32x + 4

Step-by-step explanation:

Given

f(x) = 4x +2

g(x) =2x^2 - 4

Required:

Find g o f

This is calculated as:

gof = g(f(x))

g(x) =2x^2 - 4

So:

g(f(x)) = 2(4x+2)^2 - 4

g(f(x)) = 2(4x+2)(4x+2) - 4

g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4

g(f(x)) = 32x^2 + 32x + 8 - 4

g(f(x)) = 32x^2 + 32x + 4

5 0
3 years ago
The radius of a circle is 6 inches. What is the circle's circumference?<br> Use 3.14 for ​.
Vikentia [17]

Answer:

37.68 inches

Step-by-step explanation:

The equation for the circumference of the circle is:

C=2\pi r

We can substitute 6 in for "r" and 3.14 for "π":

C=2(3.14)(6\ in)\\C=12\ in(3.14)\\C=37.68\ in^

4 0
2 years ago
What is 5(2 + x) = 5 ?
Alex787 [66]

5(2+x)=5

or, 10+5x=5

or, 5x= -5

or, x= -1

Hope it helps

8 0
3 years ago
Read 2 more answers
HELPHELPHELPHELPHELPHELPPPPP​
Makovka662 [10]

Answer:

pretty sure its -2,3 :)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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