Answer:
j(12) = 17
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
j(x) = x + 5
j(12) is x = 12
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: j(12) = 12 + 5
- Add: j(12) = 17
Answer:
1
Step-by-step explanation:
You want to know the value of i^4.
<h3>Powers of i</h3>
The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.
i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1
The fourth power of i is 1.
__
<em>Additional comment</em>
As you can see from the evaluation process, ...
i¹ = i
i² = -1 . . . . . definition of i
i³ = -i
i⁴ = 1
The sequence repeats for higher powers.
Let x represent the smaller angle. Then the larger one is 20+4x. Since they are complementary, their sum is 90. (All measures are degrees.)
90 = x + (20+4x)
90 = 5x +20
70 = 5x
14 = x
The smaller angle is 14°.
The larger angle is 76°.
Answer:
2.5cm^2
Step-by-step explanation:
so diameter is basically radius*2...to find radius(since area of circle is pi*r^2 we need to divide diameter by 2)
so 1.8/2=0.9
now,
pi*0.9^2
pi*0.81
2.5 cm^2
Answer:
b) 5
Step-by-step explanation:
f(x) = x² + 1
f(2) = (2)² + 1
= 4 + 1
= 5