All categories

2 years ago

The function f(x) = In(x) has a domain of all real numbers greater than zero and a range of all real numbers. The

Mathematics

1 answer:

solniwko [45]2 years ago

4 0

Answer:

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

You might be interested in

part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.

andreev551 [17]

Answer: $\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}$

<u>Step-by-Step Explanation:</u>

Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>

$5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18

$6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}$

Note: 8² + 15² = hypotenuse² → hypotenuse = 17

$7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}$

Note: hypotenuse not needed for tan

$8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}$

Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10

8 0

2 years ago

Lin's bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels? Round your answer to t

miss Akunina [59]

Answer:

Using formula to calculate the circumference of wheel:

where

D is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

As per the statement:

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

then by definition:

meter

Therefore, the circumference of her wheel is, 1 9/11

Step-by-step explanation:

6 0

2 years ago

Parallel to y=−3x−2, through (-3, -3)

VashaNatasha [74]

Answer:

Use the formula y-y1=m(x-x1) <---memorize this. The m here is the slope.

Step-by-step explanation:

The equation is in y=mx+b form

Remember mx=slope and b=y-intercept

The question wants you to find the equation that is Parallel to y=-3x-2 and passes through (-3,-3)=(x1,y1)

Parallel=same slope -3x

So now all that's left is to plug into the equation.

y-(-3)=-3(x-(-3))

y+3=-3(x+3) ----> positive - a negative = positive so x-(-x)=x+x

y+3=-3x-9 ----> distribute like terms(subtract 3 from 3 and 3 from -9)

y=-3x-12 - This is your answer, you can check by graphing it.

Could i get Brainlest? thx :)

3 0

1 year ago

A kite is fllying 115 ft above the ground. The length of the string to the kite is 150 ft, measured from the ground. Find the an

Kitty [74]

Answer:

The answer is sin θ = 115/150

4 0

3 years ago

Read 2 more answers

Each side of an equilateral triangle measure 11 centimeters. To the nearest tenth of an centimeter, what is the length of the al

Orlov [11]

The length of the altitude is 9.5 cm.

The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal). This gives us a right triangle with leg 5.5 and hypotenuse 11. We use the Pythagorean theorem:

5.5² + h² = 11²
30.25 + h² = 121

Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75

Take the square root of both sides:
√h² = √90.75
h = 9.5

3 0

2 years ago