HELP PICTURE SHOWN!!!!

Which function has a domain of all real numbers except x=π/2 ±nπ?

boyakko [2]

A. y=secx This problem deals with the various trig functions and is looking for those points where they are undefined. Since the only math operations involved is division, that will happen with the associated trig function attempts to divide by zero. So let's look at the functions that are a composite of sin and cos. sin and cos are defined for all real numbers and range in value from -1 to 1. sin is zero for all integral multiples of pi, and cos is zero for all integral multiples of pi plus pi over 2. So the functions that are undefined will be those that divide by cos. tan = sin/cos, which will be undefined for x = π/2 ±nπ cot = cos/sin, which will be undefined for x = ±nπ sec = 1/cos, which will be undefined for x = π/2 ±nπ csc = 1/sin, which will be undefined for x = ±nπ Now let's look at the options and pick the correct one. A. y=secx * There's a division by cos, so this is the correct choice. B. y=cosx * cos is defined over the entire domain, so this is a bad choice. C. y=1/sinx * The division is by sin, not cos. So this is a bad choice. D. y=cotx, * The division is by sin, not cos. So this is a bad choice.

4 0

3 years ago

Cooper earned $228.00 at his job when he worked for 10 hours. How much money did he earn each hour?

mote1985 [20]

Answer:

Cooper made $22.80 per hour.

Step-by-step explanation:

Since Cooper made a total of $228.00 within 10 hours, the money he made each hour is equivalent to the rate of change. That means that in order to get the amount of money made in one hour, you must first turn the ten hours into one using division. Since you divided ten into one using division, you divide the $228.00 by ten using division.

228 divided by 10 is 22.8, therefore Cooper is making $22.80 per hour.

5 0

3 years ago

Hiiooo! Can someone please help with this!❤️:)

denis23 [38]

It will be 256.20 I hope I helped

8 0

2 years ago

Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola.

SCORPION-xisa [38]

Part A) How many bowls of granola can Nick make with fraction 1 over 2 cup of syrup?

So if we have 1/2 cup of syrup and 1/6 is needed we can divide 1/2 by 1/6 to find our answer for part a.

1/2 / 1/6

"keep change flip" -> 1/2 x 6

answer -> 3

He can make 3 bowls of granola

Part B) On your own paper, draw a fraction model that shows the total number of bowls of granola that Nick can make with fraction 1 over 2 cup of syrup. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.

(visual attatched)

You could say "This model visually shows the solution for Part A because each bowl of granola has 1/6 cup of syrup in it. The 1/2 cup is split into 3 different parts, as you can see"

(draw it neater though, it's hard on a computer with a mouse haha)

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(second problem you commented)

Part A: How many 3 over 4 foot pieces can Clark cut from the 7 and 1 over 2 feet of wire? Show your work. (5 points)

First let us change 7 1/2 into an improper fractoin,

7 x 2 = 14 + 1 = 15/2

So then we can, as we did above, divide 15/2 by 3/4 which looks like:

15/2 / 3/4

keep, change, flip -> 15/2 x 4/3

60 / 6

answer -> 10

Clarck can cut 10 3/4 foot pieces.

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given.

*I am honestly kind of confused by this question, so here is some words that are hopefully somewhat correct*

You could say here that "Calrck had 7 1/2 feet of wire. He needed 3/4 pieces, so when he cut it up he got 10 pieces. This is because 3/4 times 10 is 7 1/2 so this quotient makes sense with the two fractions given."

~~~~~~~~~~~~~`

Hopefully these are correct and help, have a nice day! :D

6 0

2 years ago

What is the average rate of change of f over the interval [3,4]?

IgorC [24]

The answer to this question is 56

6 0

2 years ago