1) 6/14 divide by 2 = 3/7
2) 9/12 divide by 3 = 3/4
3) 15/25 divide by 5 = 3/5
Answer:
56 problems
Step-by-step explanation:
So we already know that the answer is: 56. However, a good help is knowing how to obtain this answer from the data provided.
Tony's quiz had 80 questions
Tony correctly answered 70% of them.
We can always write a percentage amount as a ratio by dividing the amount by 100.
.
This means that for every 100 questions, tony will respond correctly 70.
So, if Toni did a questionnaire of n questions, the amount that will answer correctly is calculated by the following expression:
If then:
Step-by-step explanation:
In this case we have:
Δx = 3/n
b − a = 3
a = 1
b = 4
So the integral is:
∫₁⁴ √x dx
To evaluate the integral, we write the radical as an exponent.
∫₁⁴ x^½ dx
= ⅔ x^³/₂ + C |₁⁴
= (⅔ 4^³/₂ + C) − (⅔ 1^³/₂ + C)
= ⅔ (8) + C − ⅔ − C
= 14/3
If ∫₁⁴ f(x) dx = e⁴ − e, then:
∫₁⁴ (2f(x) − 1) dx
= 2 ∫₁⁴ f(x) dx − ∫₁⁴ dx
= 2 (e⁴ − e) − (x + C) |₁⁴
= 2e⁴ − 2e − 3
∫ sec²(x/k) dx
k ∫ 1/k sec²(x/k) dx
k tan(x/k) + C
Evaluating between x=0 and x=π/2:
k tan(π/(2k)) + C − (k tan(0) + C)
k tan(π/(2k))
Setting this equal to k:
k tan(π/(2k)) = k
tan(π/(2k)) = 1
π/(2k) = π/4
1/(2k) = 1/4
2k = 4
k = 2
Answer: X=1
Step-by-step explanation: 5x+8-3x=10
Combine like terms; 5x + (-3x) = 2x
Rewrite; 2x+8=10
Get “x” alone; 2x+8=10
-8. -8
Simply divsion; 2x=2
X=1