Which set of angles shares rayAF as a common side?

How do you determine where f(x)=cos^(-1)(lnx) is continuous?

olga nikolaevna [1]

$\ln x$ is continuous over its domain, all real $x>0$ .

Meanwhile, $\cos^{-1}y$ is defined for real $-1\le y\le1$ .

If $y=\ln x$ , then we have $-1\le \ln x\le1\implies \dfrac1e\le x\le e$ as the domain of $\cos^{-1}(\ln x)$ .

We know that if $f$ and $g$ are continuous functions, then so is the composite function $f\circ g$ .

Both $\cos^{-1}y$ and $\ln x$ are continuous on their domains (excluding the endpoints in the case of $\cos^{-1}y$ ), which means $\cos^{-1}(\ln x)$ is continuous over $\dfrac1e$ .

7 0

3 years ago

Craig saved $10,950 in a year. He saved $75 more than what he saved the previous

Dmitry [639]

Answer: $10,875

Step 1: Subtract.

10,950 - 75 = 10,875.

Step 2: Add a dollar sign.

$10,875

Hope this helps!

7 0

3 years ago

Read 2 more answers

Just need some help please

Vlad1618 [11]

Answer:

It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.

4 0

3 years ago

Read 2 more answers

Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64

valentinak56 [21]

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

8 0

3 years ago

Please help with math question! This question is stressing me out (View Image)

TEA [102]

To find the volume of this one we need to break it down
now i see half of a cylinder and rectangle:)
but first lets find the volume of the rectangle...
In order to find the Volume of a rectangle we need to use this formula...
Length x width x height
in this case...
length = 10in
width = 6 in
height = 8in
lets solve:)
10 x 6 x 8 = 480
or we write it like this
480in³

now time to find the volume of the half cylinder:)
But first lets remember the volume for a cylinder
Volume = $\pi r^{2} h$
So lets find our measurements
$\pi$ = 3.14
r² = 5² or 25
h = 6
so lets plug in our values just like our formula said:)
3.14 x 25 x 6
now lets easily solve
<span>3.14 x 25 x 6 = 471
</span>now since we found an entire cylinder and we only want half of a cylinder lets divide our answer in half
471 ÷ 2 = 235.5
so we write it like this 235.5units³
But we have to add both of our multiples together so lets do that
Volume of rectangle = <span>480in³
</span>volume of half sphere = 235.5units³
480 + 235.5 = 715.5
answer = 715.5units³
I hope this helped and everyone learned something new
anyways don't forget to
MARK ME BRAINLIEST! :D

3 0

3 years ago