Answer:
7 . 4 + 6 - 12 : 4 = 31
Step-by-step explanation:
* To solve this problem lets revise the order of operations in
mathematics
- The operations are:
# Addition
# Subtraction
# Multiplication
# Division
# Exponentiation
# Grouping ⇒ Parenthesis or brackets
- The order of these operations is:
# Parenthesis
# Exponents
# Multiplication and Division which comes first from left to right
# Addition and Subtraction which comes first from left to right
- There is a word made from the first letter of each operation
PEMDAS to remember the order of operations
* Lets solve the problem
∵ 7 . 4 + 6 - 12 : 4
∵ The (.) means multiply the numbers
∵ The symbol (:) means divided the numbers
∴ At first multiply 7 by 4 and divide 12 by 4
∴ (7 × 4) + 6 - (12 ÷ 4)
∴ 28 + 6 - 3
∵ Addition comes before subtraction from the left
∴ (28 + 6) - 3
∴ 34 - 3 = 31
∴ 7 . 4 + 6 - 12 : 4 = 31
The degree of vertex b is b
Since
are in arithmetic progression,




and since
are in geometric progression,




Recall that


It follows that

so the left side is

Also recall that

so that the right side is

Solve for
.

Now, the numerator increases more slowly than the denominator, since


and for
,

This means we only need to check if the claim is true for any
.
doesn't work, since that makes
.
If
, then

If
, then

If
, then

There is only one value for which the claim is true,
.
Answer:
Distance from the moon is 2.4 × 10⁵ miles
Step-by-step explanation:
Length of 1-inch paperclip =
miles
Number of paperclips used to reach the moon = 1.5 × 10¹⁰
Total distance from the moon = Number of paper clips used × Length of one clip
= (1.5 × 10¹⁰) × (1.6 × 10⁻5)
= (1.5 × 1.6) (10¹⁰× 10⁻⁵)
= 2.4 × 10⁽¹⁰⁻⁵⁾ miles
= 2.4 × 10⁵ miles
Distance from the moon is 2.4 × 10⁵ miles.