Which of the following correctly uses exponents to write "6 factors of 2"? A.62 B.26 C.6 ∙ 2 D.12
1 answer:
Step-by-step explanation:
1. 6 factors of 2 means, 2 multiplied by itself 6 times. It can be written in the form of exponents as 2⁶.
2.
The law of exponent is :
So,
The correct option is (A).
3. If the power of any number is 0, then the value of that number is equal to 1.
So,
Hence, this is the required solution.
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Answer:
The cost of renting the car for 20 days is $481
Step-by-step explanation:
The table of values can be formed as follows;
Day, Cost
1, $44
2, $67
3, $90
4, $113
7, $182
10, $251
From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.
The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;
(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;
The equation in slope and intercept form is therefore, y - 44 = 23×(x - 1), which gives;
y - 44 = 23·x - 23
y = 23·x - 23 + 44 = 23·x + 21
The cost of renting the car for 20 days is then;
10×23 + 21 = $481
The cost of renting the car for 20 days = $481.
