Answer:
Here is your answer:
5x + 2 < 32
solution:
5x+ 2 < 32
or, 5x < 32-2
or, 5x < 30
or, 5x < 30/2
or, 5x < 15
or, x < 15/3
or, x < 5
therefore, x < 5 <u>ans</u>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>help</u></em><em><u> </u></em><em><u>you</u></em>
First, that looks like Pearson and if it is, I'm so sorry for you.
Secondly, I think this answer is correct.
There are three different type
Explain
In math , there are three different type , they are arithmetic progression ( Ap) , Geometric progression and Harmonic
Arithmetic Progression - When a fix constant is added to each number except the first number.
For example : 2,4,6,8,10..... Here 2 is added each time to get the next number.
2. Geometric Progression - When a fix constant is multiplied to each number except the first number.
For example : 2,6,18,54.... Here 3 is multiplies each time to get first number.
3. Harmonic - a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression.
For example : 1/2 , 1/4 , 1/6, 1/8 ....
Answer:
option D is correct, i.e. 3i
Step-by-step explanation:
Given are the complex number as Z₁ = 9 cis(5π/6) and Z₂ = 3 cis(π/3)
So magnitudes are r₁ = 9, and r₂ = 3
And arguments are ∅₁ = 5π/6, and ∅₂ = π/3
We know the formula for division of complex number is given as follows:-
If Z₁ = r₁ cis(∅₁) and Z₂ = r₂ cis(∅₂)
Then |Z₁ / Z₂| = (r₁/r₂) cis(∅₁ - ∅₂)
|Z₁ / Z₂| = (9/3) cis(5π/6 - π/3)
|Z₁ / Z₂| = 3 cis(5π/6 - 2π/6)
|Z₁ / Z₂| = 3 cis(3π/6)
|Z₁ / Z₂| = 3 cis(π/2)
|Z₁ / Z₂| = 3 cos(π/2) + 3i sin(π/2)
|Z₁ / Z₂| = 3*(0) + 3i*(1)
|Z₁ / Z₂| = 0 + 3i
|Z₁ / Z₂| = 3i
Hence, option D is correct, i.e. 3i
Answer:
18.84956, 18.84 if rounded to the nearest hundredth, and 18 if rounded to nearest whole number.
