Answer:
318.2 ml
Step-by-step explanation:
Jamie has 100 ml of a 50% isopropyl alcohol solution.
She wants to prepare a solution of 85% by adding 96% solution of isopropyl alcohol solution.
Let the amount of 96% solution required = x ml
Final amount of 85% isopropyl alcohol solution = (100 + x) ml
Therefore, equation for this situation will be,
100 × (50%) + (x) × (96%) = (100 + x) × (85%)
100(0.5) + 0.96x = 0.85(100 + x)
50 + 0.96x = 85 + 0.85x
0.96x - 0.85x = 85 - 50
0.11x = 35
x = 
x = 318.18 ml
≈ 318.2 ml
Therefore, she will require 318.2 ml of 96% isopropyl alcohol solution.
Answer:
3) 5
4) 8.2
5) 6.8
6)FG = 6.4
7) EF = 3.6
8)DF = 4.8
Step-by-step explanation:
From the attached triangle, using trigonometric ratio we can find ∠G as; tan^(-1) (6/8)
Thus, ∠G = 36.87°
Still using trigonometric ratios;
FG/8 = cos 36.87°
FG = 8 cos 36.87°
FG = 6.4
3) EF + FG = EG
Since EG is 10, mean of EF and FG = 10/2 = 5
4) mean of EG and FG = (10 + 6.4)/2 = 8.2
5) EF + FG = EG
Thus; EF = EG - FG
EF = 10 - 6.4
EF = 3.6
Mean of EG and EF = (10 + 3.6)/2 = 6.8
6) FG = 6.4
7) EF = 3.6
8) Using trigonometric ratio;
DF/8 = sin 36.87
DF = 8 × 0.6
DF = 4.8
21.77 you can also type that in in the google search bar and your answer will pop up
Answer:24
Step-by-step explanation:
The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:
<h3>
How to write the polynomial?</h3>
A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:
Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.
Then this polynomial is equal to:
If you want to learn more about polynomials:
brainly.com/question/4142886
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