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Firdavs [7]
2 years ago
5

Find the inverse of y = x² + 3

Mathematics
1 answer:
eduard2 years ago
3 0

Answer:

Step-by-step explanation:

\sqrt\\ x-3   and -\sqrt{x-3

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Click to select the figure in the image that would portray the rotation of the given pre image and the rotation arrow. The first
sashaice [31]

Answer:

its a

Step-by-step explanation:

7 0
3 years ago
A ship leaves port and travels due west for 30 knots, then changes course to S 30° W and travels 50 more knots. Find the bearing
leva [86]

Answer:

  232°

Step-by-step explanation:

There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.

  30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))

  = (0, -30) +(-43.301, -25) = (-43.301, -55)

Then the angle from port is ...

  arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle

The bearing of the ship from port is about 232°.

_____

<em>Comment on the problem statement</em>

The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.

5 0
3 years ago
Car survey
Gnoma [55]

Answer:

65%

Step-by-step explanation:

yes i changed it because i don't want to confuse anyone:)

3 0
3 years ago
Read 2 more answers
I’m not good with geometry please help
jasenka [17]

Answer:

The value of t is 41

Step-by-step explanation:

<em>The figure is 5 sided polygon.</em>

The sum of interior angles of 'n' sided polygon is given by,

= 180(n-2) degrees

here, n=5,

thus, 180(5-2) = 180(3) = 540 degrees

All the given angles have linear pair in the polygon.

(180-2t)+(180-3t)+(180-42)+(180-52)+(180-61) = 540

5t = 205

Thus, t = 41

8 0
3 years ago
Suppose that the length of a phone call in minutes is an exponential random variable with parameter λ = 1/ 8. If someone arrives
Elis [28]

Answer:

a) P=0.535

b) P=0.204

c) P=0.286

Step-by-step explanation:

The exponential distribution is expressed as

F(x>t)=e^{-\lambda t}

In this example, λ=1/8=0.125 min⁻¹.

a) The probability of having to wait more than 5 minutes

F(x>5)=e^{-0.125*5}=e^{-0.625}=0.535

b) The probability of having to wait between 10 and 20 minutes

F(1020)=e^{-0.125*10}-e^{-0.125*20}\\\\F(10

c) The exponential distribution is memory-less, so it is independent of past events.

If you have waited 5 minutes, the probability of waiting more than 15 minutes in total is the same as the probability of waiting 15-5=10 minutes.

F(x>15|t^*=5)=F(x>15)/F(x>5)=\frac{e^{-0.125*15}}{e^{-0.125*5}}=e^{-0.125*(15-5)}\\\\ F(x>15|t^*=5)=e^{-0.125*(10)}=F(x>10)=0.286

5 0
3 years ago
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