All categories

2 years ago

F(x) = x2. What is g(x)?

Mathematics

1 answer:

uranmaximum [27]2 years ago

8 0

Answer:

g(x) = 1/2x^2

Step-by-step explanation:

I hope this helps

You might be interested in

What is the slope of a line that contains the points (13,-2) and (3,-2)

Vsevolod [243]

Answer:

Step-by-step explanation:

since both corrdinate points have -2 as a y value but two different x values, the slope is 0

3 0

3 years ago

a television regularly cost $180 but is on sale for 40% off there is a 5% sales tax on the sales price how much does the televis

Orlov [11]

Answer:

$102.60

Step-by-step explanation:

i am pretty sure this is correct

8 0

3 years ago

On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred seventy-five were under 30 years o

Grace [21]

Answer:

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

Step-by-step explanation:

Given :

Sample, size n = 500

A = driver is under the influence of alcohol :

Y = driver is less than 30 years old

P(A) = 275 / 500 = 0.55

P(Y) = 375 / 500 = 0.75

P(AnY) = 225 / 500 = 0.45

P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

To determine if it is mutually exclusive : P(AnY) = 0

P(AnY) = 0.45 ; hence, it is not mutually exclusive

For A and Y to be independent ; P(A|Y) = P(A) ;

P(A|Y) = P(AnY) / P(Y)

P(A|Y) = 0.45 / 0.75 = 0.6

Hence, A and Y are not independent.

7 0

3 years ago

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeee

natulia [17]

Answer:

77 m (nearest metre)

Step-by-step explanation:

Angle of Elevation

If a person stands at a point and looks up at an object, the angle between their horizontal line of sight and the object is called the angle of elevation.

To find how tall the flagpole is, model as a right triangle and solve using the tan trigonometric ratio.

Tan trigonometric ratio

$\sf \\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle

Given information:

Person height = 1.6 m
Horizontal distance (from person to flagpole) = 35 m
Angle of elevation = 65°

Therefore:

$\theta$ = 65°
O = height of flagpole less height of person
A = 35 m

As the person is 1.6 m tall, we model the line of sight as 1.6 m above ground level. Therefore, when calculating the height of the flagpole, we will need to add the height of the person to the value found using the trig ratio.

Substitute the given values into the formula and solve for O:

$\implies \sf \tan(65^{\circ})=\dfrac{O}{35}$