Answer:
d) 
Step-by-step explanation:
we simplify
by doing 7 x 2 = 14
so it is now

to check, we can use a calculator.
7 to the power of 14 = 678223072849
and
7 to the power of 7, squared also = 678223072849
Hope this helps!
Answer: 1859.5 mini bears
Step-by-step explanation:
From the information given in the question,
10 mini bars = 12.1 grams
10 regular bars = 23.1 gram
1 super bear = 2250 grams
To eat enough mini bears to match the super bears, the number that it'll take will be:
Since 10 mini bars = 12.1 grams
1 mini bear = 12.1 grams / 10 = 1.21 gram
Since 1 super bear = 2250 grams, the number of mini bears needed to equate this will be:
= 2250/1.21
= 1859.5 mini bears
The product of 5 and 2/3 is 5.6666
Answer:
Step-by-step explanation:
The picture is below of how to separate this into 2 different regions, which you have to because it's not continuous over the whole function. It "breaks" at x = 2. So the way to separate this is to take the integral from x = 0 to x = 2 and then add it to the integral for x = 2 to x = 3. In order to integrate each one of those "parts" of that absolute value function we have to determine the equation for each line that makes up that part.
For the integral from [0, 2], the equation of the line is -3x + 6;
For the integral from [2, 3], the equation of the line is 3x - 6.
We integrate then:
and
sorry for the odd representation; that's as good as it gets here!
Using the First Fundamental Theorem of Calculus, we get:
(6 - 0) + (-4.5 - (-6)) = 6 + 1.5 = 7.5
If you would like to evaluate 6 * [5 * (3 - 9) - 1] + 2 / 7 * (8 - 2) + 4, you can calculate this using the following steps:
6 * [5 * (3 - 9) - 1] + 2 / 7 * (8 - 2) + 4 = 6 * [5 * (-6) - 1] + 2/7 * 6 + 4 = 6 * [- 30 - 1] + 12/7 + 4 = 6 * [- 31] + 12/7 + 4 = - 186 + 12/7 + 4 = - 182 + 12/7 = - 1274/7 + 12/7 = - 1262/7
The correct result would be - 1262/7.