What is the nth term of 60,100,140 simplified
Answers
Answer:
= 40n + 20
Step-by-step explanation:
there is a common difference between the first 3 terms in the sequence, that is
100 - 60 = 140 - 100 = 40
This indicates the sequence is arithmetic with nth term
= a₁ + d(n - 1)
a₁ is the first term , d the common difference, n the term number
here a₁ = 60 and d = 40 , then
= 60 + 40(n - 1) = 60 + 40n - 40 = 40n + 20
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The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 42 and the common ratio is three fourths. Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.
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At a country concert, the ratio of the number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many boys are at the concert?
Answers
its just the form of counting and not necessarily the different number
Final answer:
Both ways of writing numbers as tens and ones describe the same number because our counting system is based on powers of ten. This means that each place in our numbering system is ten times greater than the place to its right. Scientific and exponential notations simplify arithmetic, making it easier to multiply and divide large and small numbers.
Explanation:
The reason why both ways of writing the numbers as tens and ones describe the same number is because our counting system is essentially based on powers of ten. This powers-of-ten notation effectively means that each place in our numbering system is ten times greater than the place to its right. This principle all stems from human beings starting to count with their ten fingers.
For example, if we consider a number such as 34, this can be expressed as 3 tens and 4 ones. Alternatively, it could also be written in exponential notation as 3x10^1 + 4x10^0, which is still 34. This is because the power (exponent) of 10 correlates with the number of places the decimal point is shifted to give the digit number.
In scientific notation, this makes arithmetic simpler. To multiply two numbers expressed as powers of ten, you only need to multiply the numbers out front and then add the exponents. This way of counting and doing arithmetic is not only easier to write but also simplifies the multiplication and division of large and small numbers.
Learn more about Powers of Ten here:
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Explain when is a rational expression restricted.
Answers
the 2 main ones are
1.having a negative result under the squaer root sign
2. dividing by zero
example
√(x-3)=y
x cannot be any number less than 3
example the equation 3/x, 0 is a restricted value for x
3/(x+2), -2 is a restricted value for x
$3,087.50
$2,850.00
$1,425.00
Answers
Answers
2/5 = 18/45
4/9 = 20/45
Since 20/45 is bigger than 18/45, we know that 4/9 is greater than 2/5
Answers
Answers
Discount price = p * (30/100)
= 0.3p
Price after the discount
p - 0.3p
0.7p
Answer:
Discounted price= 0.7 p
Step-by-step explanation:
Original price = p
Since we are given that 30 % is off on the price
So, 30 % of p
So, the discount is of amount 0.3p
So, the discounted price = Original price - Discount amount
So,the discounted price = p-0.3p
Discounted price= 0.7 p
Hence expression can be used to find the price of the shoes after the discount is 0.7p