Addends are any of the numbers added together in an equation.
The only time their grouping would matter would be if there were parentheses used to alter the normal Order of Operations.
For ex:
2 - (8 + 3) here, the 8 and 3 have to be grouped together before doing the subtraction.
Any addition problem without parentheses can be used for one where the grouping doesn't matter
Step-by-step explanation:
Whenever we put a negative number inside a modulus function it will give us the positive output. For example , |-3| = 3 , |-6|=6, |5|= 5 ,etc.
So a modulus function i.e. |x| is always greater than zero ( positive ) when x is any number except 0 and it is equal to zero when the value of x is 0.
So |x| can't be less than -4 as |x| is always positive . So the statement is false.
Answer:
3rd option
Step-by-step explanation:
So we are given the following points:
(1,5)
(2,15)
(3,45)
(4,135)
This is a geometric sequence because there is a common ratio, 3. That is you can keep multiply 3 to a previous y-coordinate to get the next y-coordinate.
The formula for a geometric sequence is 
where 
is the first term and r is the common ration.
So we have
.
If you want to know the fifth term, just plug in 5:
Simplifying:
For the Hernandez family, 3 pizzas were cut into 24 slices. So each pizza was cut into 24/3 = 8 slices. So if there should be an equation representing the relationship between the number of slices, y, and the number of pizzas, x, that would be y = 8x. So option #1 is incorrect.
As for the the Wilson family, if they ordered 3 large pizzas, they would cut them into y = 10(3) = 30 slices. So they would have more slices than the Hernandez family. So option #3 is correct. In addition, the equation tells us that they cut each pizza into 10 slices instead of 8 slices as the Hernandez family’s did. So the Hernandez family’s slices are larger than the Wilson family’s slices. Option #2 is incorrect. As for option #4, the constant of proportionality can be determined as 8 for the Hernandez family. So option#4 is incorrect either.
Answer: Option #3
Answer:
7.763×10^7 inches
Step-by-step explanation:
When writing 1225 in scientific notation, it is convenient to choose an exponent so that the division result comes out with the right scale factor. It is easy to see that 1.2 < 1.6, so use of numbers with exactly one digit to the left of the decimal point would result in a fraction as an answer. We want the answer to have 1 digit left of the decimal point, so by scaling the operands to be 12. and 1.6, we get that result. Of course, the powers of 10 are adjusted accordingly.
This scaling process only matters if you're computing the results by hand. Any calculator can properly keep track of the required exponents.
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"Back in the day" when slide rules were the calculating tool of choice, the operands and answer to any multiplication or division problem were only shown as 3 (sometimes 4) significant digits. All of the power-of-ten scaling was done "by hand" (usually, mentally). That is, the division would be 1225/1578 ≈ 776 × some scale factor. This is where thinking of the numbers as 12.25/1.578 = 7.76 comes in handy.
