ndex Notation and Powers of 10
10 to the Power 2
The exponent (or index or power) of a number says
how many times to use the number in a multiplication.
102 means 10 × 10 = 100
(It says 10 is used 2 times in the multiplication)
Example: 103 = 10 × 10 × 10 = 1,000
In words: 103 could be called "10 to the third power", "10 to the power 3" or simply "10 cubed"
Example: 104 = 10 × 10 × 10 × 10 = 10,000
In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"
11yd is the diameter and circumference is 2πr = 2π(d/2) = πd = 11π yd
N^2 = 24 + 2n
n^2 - 2n - 24 = 0
(n-6)(n+4) = 0
n = 6 , n = - 4
Answer:
Please check the explanation below.
Step-by-step explanation:
Some of the properties are defined as:
- <em>Distributive property</em>
a(b+c) = ab+ac
For example,
suppose a=1, b=2, c=3
1(2+3) = 1(2) + 1(3)
5 = 2+3 = 5
- <em>Subtraction property of Equality</em>
if (a=b), then a-c = b-c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a-c = b-c ⇒ 1-3 = 1 - 3 ⇒ -2 = -2
- <em>Addition property of Equality</em>
if (a=b), then a+c = b+c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a+c = b+c ⇒ 1+3 = 1+3 ⇒ 4 = 4
- <em>Multiplicative property of Equality</em>
if (a=b), then a×c = b×c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a×c = b×c ⇒ 1×3 = 1 × 3 ⇒ 3 = 3
- <em>Division property of Equality</em>
if (a=b), then a÷c = b÷c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a÷c = b÷c ⇒ 1÷3 = 1 ÷ 3 ⇒ 1/3 = 1/3
Let's solve the given equation using the above properties.
5(x+10) = 20 Given
5x+50 = 20 1) Distriburive property ∵ a(b+c) = ab+ac
5x = -30 2) Subtraction property of Equality ∵ if (a=b), then a-c = b-c
x = -6 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c
Answer:
210
Step-by-step explanation:
For getting this answer we need to find the minimum common multiplier, this is, the smaller number that is multiple of all 5, 6 and 7.
For example, 30 is multiple of both 5 and 6, son in 30 days two suppliers will come, but not the third, as 30 is not a multiple of 7.
Let's try with the next multiple of 5 and 6, this is 60, but is not a multiple of 7.
The next is 90, but again not multiple of 7. Niether are the next: 120, 150, 180.
But when we arrive to 210 we see that, as we are going from multiples of 5 and 6, and 210/7=30, 210 is also multiple of 7.
So, the answer is 210.
