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3 years ago

Which one of the mappings is a function?

Mathematics

1 answer:

Pepsi [2]3 years ago

7 0

Answer:

the answer is x.

Step-by-step explanation:

the x values are only being used once, therefore, it is a function

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2330 law graduates took the Alaska bar exam over a ten year period. 1780 passed the exam. What percent passed the exam?

Kruka [31]

Around 76 percent passed the exam.

8 0

3 years ago

An observer (O) spots a plane flying at a 55° angle to his horizontal line of sight. If the plane is flying at an altitude of 21

mel-nik [20]

Angle of elevation is angle measured from horizontal line to line of sight, The distance from the plane to the observer is 25,636 feet approx

<h3>What is angle of elevation?</h3>

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal line to the point where you stopped your head is called angle of elevation. See the figure where angle OPD is the angle when observer saw the plane. It is measured from the horizontal line OD.

Refer to the attached figure.

It is given that we have

Length of PD = |PD| = 21,000 feet

Angle ∠OPD = 55°

Assuming length of OP = |OP| = x feet, we get the sin ratio as

$sin(55^\circ) = \dfrac{|PD|}{|OP|} = \dfrac{21000}{x}\\\\x = \dfrac{21000}{\sin(55^\circ)} \approx 25636.27 \approx 25636 \: \rm feet$

(tan 55° was calculated from online calculator)

Thus,

The distance from the plane to the observer is 25,636 feet approx.

Learn more about trigonometric ratios here:
brainly.com/question/22599614

4 0

3 years ago

A gas station stands at the intersection of a north-south road and an east-west road. A police car is traveling toward the gas s

DanielleElmas [232]

Answer:

a)DL/dt is positive then L s increasing

b) L still increasing

Step-by-step explanation:

Let´s call O the place for the gas station, A the location point of police car ( at 5 miles east from the gas station ), and B the location point of the truck ( 12 miles south from a gas station.

The three points shape a right triangle with L (distance between police car and truck) then

L² = OA² + OB² at the point police car is 5 miles east and truck 12 miles south ( both from gas station)

L² = ( 5)² + (12)²

L = √ 25 + 144

L = √169

L = 13 miles

Pitagoras theorem establishes in a right triangle hypotenuse L is:

L² = a² + b² a and b are the legs then

In general

L² = x² + y ² x and y the legs over distance police-car/gas station and truck/gas station

Differentiation on both sides of the equation with respect to time give us:

2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt

Where Dx/dt = 130 m/h West Dy/dt = 100 m/h south

L = 13 m x = 5 m y = 12

Then by substitution

2*13*DL/dt = 2*5*130 + 2*12*100

DL/dt = (1300+ 2400) / 26

DL/dt = 142 m/h

DL/dt is positive then L s increasing

b) If truck speed is 70 m/h

DL/dt still positive but with smaller module, then L still increasing but at smaller speed

DL/dt = 1300 + 2*12*70

DL/dt = (1300 + 1680)/ 26

DL/dt = 114,6 m

7 0

3 years ago

Evaluate:<br><br> 12x+10 for x=−12

julsineya [31]

Answer:

-144?

Step-by-step explanation:

im not sure if that'll be the answer

5 0

3 years ago

Read 2 more answers

1. Find the surface area of the triangular pyramid.

marshall27 [118]

Look on this website they have all the answer getmathhelp.net

6 0

3 years ago

Which one of the mappings is a function?​

Which one of the mappings is a function?