To get from the first number to the second number the equation is 10x0.5+5=10
Thereafter the equation to get to the next number is 10x1.0+10=20
Thereafter the equation to get the next number is 20x1.5+15=45
Thereafter the equation to get the next number is 45x2.0+20=110
You can notice the pattern, the first number is what the last number was, you increase the second number by 0.5 and you increase the third number by 5.
Following this pattern to find the last number you do 110x2.5+25. This equation results in the number 300. Now time for the last number. You input 300x3.0+30. The answer results in 930. Therefore, the missing number is 930.
<span>Scientific NotationDate: 09/16/97 at 00:42:42
From: Aubin
Subject: Scientific notation
How do you do this problem? I don't understand how you're supposed to
get the answer:
5x10 to the 3rd power = 5,000
5x10 to the -3rd power = -5,000
Is this correct?
<span>Date: 11/03/97 at 09:56:46
From: Doctor Pipe
Subject: Re: Scientific notation
Aubin,
The first part of what you wrote is correct; 5x10 to the 3rd power =
5,000. The second part is not correct.
Writing a negative exponent, such as 10^-3 (read that as ten to the
minus third power) is the same as writing 1/(10^3) (read that as one
over ten to the third power). Notice that the exponent is negative
when writing 10^-3 and positive when writing 1/(10^3) - yet the two
numbers are equal.
Remember that any number to the zeroeth power, say 10^0, is equal
to 1. 10^0 = 1; 5^0 = 1; 275^0 = 1.
Remember also that when multiplying two numbers written as
base^exponent, if the base in both numbers is equal then we add
together the exponents: 10^5 x 10^6
= 10^(5+6)
= 10^11.
If we have a number 10^5, what number do we multiply it by to get 1?
Well, 10^5 x 10^(-5)
= 10^(5 + (-5))
= 10^0
= 1.
So if 10^5 x 10^(-5) = 1
then 10^(-5) = 1 / 10^5
So, since 10^3 = 1,000 then 10^(-3) = 1/(10^3) = 1/1,000 = 0.001 .
It follows from this that:
5x10 to the -3rd power = 5 x 10^(-3) = 5 x 0.001 = 0.005 .
The reason for this can be seen by examining what numbers to the right
of the decimal point represent. You know what numbers to the left of
the decimal point represent: the units digit represents the numeral
times 10^0 (any number to the 0th power is 1), the tens digit
represents the numeral times 10^1, the hundreds digit represents the
numeral times 10^2, and so on.
Well, to the right of the decimal point, the tenths digit represents
the numeral times 10^-1, the hundredths digit represents the numeral
times 10^-2, the thousandths digit represents the numeral times 10^-3,
and so on.
It's important to understand exponents because exponents allow us to
extend the range of numbers that we can work with by allowing us to
easily write and work with very large and very small numbers. It's so
much easier to write:
10^23
then to write:
100,000,000,000,000,000,000,000
Or to write:
10^(-23)
instead of:
0.00000000000000000000001</span></span>
Answer:
1/4
Step-by-step explanation:
15 out of the 20 books are horses. 5 of those are nature. 5/20 is the fraction, but can be simplified to 1/4
Answer: OPTION D.
Step-by-step explanation:
You have the expressions given in the problem:
To find the product of both expression you must multiplicate them.
You must multiply the numerators of both expression and the denominators of both expression.
Keeping the above on mind, you obtain that the product is:
Answer:
V = π × 4² × 16
Step-by-step explanation:
The formula for the volume of a cylinder is
V = πr²h
Data:
r = 4 in
h = 16 in
Calculation:
V = πr²h = π × 4² × 16
