Answer:
x = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
5x - 2 = 13
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2 on both sides: 5x = 15
- Divide 5 on both sides: x = 3
Answer:
12/13
Step-by-step explanation:
A probability is the number of desired outcomes over the total number of outcomes.
Assuming that this is a standard deck of playing cards, there will be 52 cards, and there will be 4 "4" cards.
First, find the number of desired outcomes, and put it over the total number of outcomes.
Out of the total number of outcomes (52), there are 4 outcomes that are not wanted, hence the equation is:
52 - 4 = 48
So out of the 52 possible outcomes, 48 are desired. Set up the fraction and
simplify:
48/52
/4 /4
= 12/13
Answer:
f
Step-by-step explanation:
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