For this case we have the following function:
f (x) = 3 ^ x
We must replace the value of x = 4 in the function.
We have then:
f (4) = 3 ^ 4
Rewriting we have:
f (4) = 81
Answer:
The function evaluated at x = 4 is equal to:
f (4) = 81
option D
Answer:
$79.30
Step-by-step explanation:
Initial sales price of scooter = $85.99
Sales tax rate = 8 1/2 or 8.5%
Discount rate = 15%
A 15% discount was given to Dante on the scooter i.e. 15% of selling price was taken off
We then calculate the discount amount : 15/100 × 85.99 = 12.8985
$12.8985 was reduced from the initial sales price= 85.99 - 12.8985 = 73.09
This means that $73.09 is the new sales price for the scooter
Sales tax is a compulsory amount charged by the government over every purchased good by a consumer. It is paid alongside the price for the good
Sales tax is calculated thus: Selling price × Sales tax rate
73.09 × 8.5/100 = 73.09 × 0.085
= 6.21
The Sales tax = $6.21
To calculate the total cost of the scooter = Sales tax + Selling price
6.21 + 73.09 = 79.30
Therefore, the amount in total that will be paid by Dante for the scooter is $79.30
Answer:
Let's assign the variable x to cosA. The expression then becomes x² - 5x + 6. To factorize this we need to find two numbers that have a sum of -5 and a product of 6; these numbers are -2 and -3 so the expression becomes (x - 2)(x - 3). Since we know that x = cosA the final answer is (cosA - 2)(cosA - 3).
Answer:
0
Step-by-step explanation:
keep +2 until the blue dot
To solve the problem we must know about the correlation coefficients.
<h3>What is the
correlation coefficient?</h3>
The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
- 1 indicates a strong positive relationship.
- -1 indicates a strong negative relationship.
- A result of zero indicates no relationship at all, therefore, independent variable.
The correlation coefficient -0.9847 denotes, "There is a strong negative relationship between x and y".
Given to us
- The correlation coefficient for the data is −0. 9847.
As we can see that the value of the correlation coefficient is 0.9847, therefore, it is close to 1 means the relationship is strong, while the '-' symbol denotes that the relationship is negative.
Hence, the correlation coefficient -0.9847 denotes, "There is a strong negative relationship between x and y".
Learn more about Correlation Coefficients:
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