Answer:
f(3) = 216
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>
f(x) = 6ˣ
x = 3
<u>Step 2: Evaluate</u>
- Substitute: f(3) = 6³
- Exponents: f(3) = 216
Answer:
Option D
Step-by-step explanation:
From the picture attached,
In the parallelogram ABCD,
Length of diagonals AC and BD are equal.
By the property,
"If the lengths of the diagonals of a parallelogram are equal, parallelogram will be a rectangle".
Therefore ABCD is a rectangle.
That means all interior angles of the given rectangle will be 90°.
Now we apply Pythagoras theorem in right triangle ΔABC,
AC² = AB² + BC²
(22)² = (12)² + (BC)²
484 - 144 = (BC)²
BC = √340
BC = 18.44 inches
Dimensions of the given box are 12 inches by 18.44 inches.
Dimensions of the rectangular tray is 11.5 inches by 18 inches.
Since, dimensions of the box are larger than the dimensions of the tray, tray can be adjusted in the box.
Therefore, Option D will be the answer.
Answer:
7 hours and 50 minutes
7.5 is equal to 7 hours and 50 minutes
3(x-8)=12
I got this equation since there are three of the "x-8" sections that add up to the twelve length bar above
Answer:
Minimum number of calls = 10
Step-by-step explanation:
Lets name the five people as A,B,C,D and E.
<u>On the night before ,each person talks to every other person atleast once that means A would talk to B,C,D and E atleast once.</u>
Lets start with A. He would talk to other 4 people which means there would be 4 phone calls made.
Now lets take B. He can talk to A,C,D and E. But A has already talked to C therefore to get minimum number of phone calls , B need not call A again. So he calls only C,D and E.
In case of C using similar logic he need to talk to only D and E.
For D , he talks to E alone.
E does not have to talk to anyone as he has already talked to everyone atleast once.
Total calls = 4 + 3 + 2 + 1
= 10
