That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n

The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.

Note: The variable n can be any integer.

7 0

2 years ago

Provide an appropriate response.

oksian1 [2.3K]

You don't even have to look up the definition of 'standard deviation'. You only
have to remember that 'smaller standard deviation' means 'less spread-out'.

First, let's find the mean (average). It's not supposed to change:

1/7th of (65 + 71 + 77 + 80 + 82 + 90 + 96) = 561/7 = 80 and 1/7 .

Now, just pick 7 scores that total 561 and are all bunched up.

The easiest way would be 80, 80, 80, 80, 80, 80, 81 .
But that's so easy that it feels like cheating.

Let's say 77, 78, 79, 80, 81, 82, and 84 .

8 0

2 years ago

the total cost after tax to repair Kimber’s cracked phone is represented by 00.4(30h)+30h Where h represents the number of hours

Serjik [45]

we have that

the total cost is

$0.040(30h)+30h$

In this equation the term 30h represent the cost due to h hours at at unit of 30

and the term 0.040(30h) is equal to calculate the 4% of (30h)

in this problem the tax rate is equal to 4%

therefore

the answer is

The term 0.040(30h) represents the amount of tax she must pay

7 0

3 years ago