The first thing you should know is that by definition:
d = v * t
Where
d: distance
v: speed
t: time
We then have to clear the time:
t = (d) / (v)
Substituting the values:
t = (6000) / (200)
t = 30 minutes
Answer:
It will take a raindrop to travel 6000m about:
t = 30 minutes
Step-by-step explanation:
a). A = {x ∈ R I 5x-8 < 7}
5x - 8 < 7 <=> 5x < 8+7 <=> 5x < 15 =>
x < 3 => A = (-∞ ; 3)
A ∩ N = {0 ; 1 ; 2}
A - N* = (-∞ ; 3) - {1 ; 2}
b). A = { x ∈ R I 7x+2 ≤ 9}
7x+2 ≤ 9 <=> 7x ≤ 7 => x ≤ 1 => x ∈ (-∞ ; 1]
A ∩ N = {0 ; 1}
A-N* = (-∞ ; 1)
c). A = { x ∈ R I I 2x-1 I < 5}
I 2x-1 I < 5 <=> -5 ≤ 2x-1 ≤ 5 <=>
-4 ≤ 2x ≤ 6 <=> -2 ≤ x ≤ 3 => x ∈ [-2 ; 3]
A ∩ N = {0 ; 1 ; 2 ; 3}
A - N* = [-2 ; 3) - {1 ; 2}
d). A = {x ∈ R I I 6-3x I ≤ 9}
I 6-3x I ≤ 9 <=> -9 ≤ 6-3x ≤ 9 <=>
-15 ≤ -3x ≤ 3 <=> -5 ≤ -x ≤ 3 =>
-3 ≤ x ≤ 5 => x ∈ [-3 ; 5]
A ∩ N = {0 ; 1 ; 2 ; 3 ; 4 ; 5}
A - N* = [-3 ; 5) - {1 ; 2 ; 3 ; 4}
Answer:
1. $132.24
2. $55.89
3. $1336.66
4. $258.19
5. $57.86
Step-by-step explanation:
Simply use this equation.
Substitute in our values, using No.1 as our example.
Cross multiply
922.575 = x100
Solve for x by dividing by 100.
x = 9.22575
Now add x to the initial value.
9.22575 + 123.01 = 132.23575
Round to the nearest hundredth for the answer.
$132.24
Here, the Y intercept is 5. This means that the plant's height started at 5 units.
The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression is given below.
8 × 10⁶ and 7.92 × 10⁹
The addition of both terms 8 × 10⁶ and 7.92 × 10⁹ will be
⇒ 8 × 10⁶ + 7.92 × 10⁹
⇒ 8 × 10⁶ + 7920 × 10⁶
⇒ 7928 × 10⁶
⇒ 7.928 × 10⁹
The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.
More about the Algebra link is given below.
brainly.com/question/953809
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