Answer: {xI x ∈ R, 19 < x < 32}
Step-by-step explanation:
This notation is:
{xI condition1, condition2, ...}
The first condition is:
From what set we take the values of x?
From the set of real numbers.
x ∈ R
The other conditions are the limitations that we have for x, in this case:
19 < x < 32
Then we can write this as:
{xI x ∈ R, 19 < x < 32}
0.5 to the fourth power equals 0.0625.
First. we use the Pythagorean theorem:
Add the numbers in
start simplifying
So, the leg has a length of 40 mm.
Answer:
1. Number line 2
2. Number line 1
3. Number line 4
4. Number line 3
Step-by-step explanation:
1. x – 99 ≤ -104
Solving by adding +99 on both sides
x - 99 +99 ≤ -104 +99
x ≤ -5
Number line 2 represent x ≤ -5
2. x – 51 ≤ -43
Adding +51 on both sides
x -51 +51 ≤ -43 +51
x ≤ 8
Number line 1 represent x ≤ 8
3. 150 + x ≤ 144
Adding -150 on both sides
150 + x -150 ≤ 144 -150
x ≤ -6
Number line 4 represent x ≤ -6
4. 75 < 69 – x
Adding +x on both sides
75 + x < 69 -x +x
x < 69 -75
x < -6
Number line 3 represent x < -6
5000 × .06 = $300 balance $5,300
5300 × .06 = $318 balance $5,618
5618 × .06 = $337.08 balance $5,955.08
5955.08 ×.06 = $357.30 balance $6,312.38
