Answer:
47
Step-by-step explanation:
In the picture attached, the Venn diagram is shown.
We can see in the picture that the intersection between C and M (symbolized by C∩M) is made by two regions, one with 22 employees and another one with 25 employees, then 22+25 = 47 satisfy C∩M
Answer:
It depends on what you are asked to do. See explanation.
Step-by-step explanation:
The height, h metres, of a particle at time, t seconds is given by the function:
h=(14-t)(t-2).
This means that after a given time, we can use this function to find the height of the particle.
For instance after 3 seconds, the height of the particle will be:
This implies that:
So after 3 seconds the height of the particle is 11 meters.
Answer:
B. 9.7 in.
Step-by-step explanation:
We have been given an image of a triangle. We are asked to find the value of x.
We will use area of triangle formula to solve our given problem.
Taking square root of both sides we will get,
Therefore, the value of x is 9.7 inches and option B is the correct choice.
1. Since the sales of 8-track players are decreasing by 5.1% per year, we can say that the sales after a year are 94.9% of the sales of the previous year. For succeeding years, we just multiply the percentage a number of times corresponding to the number of years. Forming an exponential function for this we'll get:
where x is the number of years and f(x) is the number of sales.
To find the number of sales in 2013 we just plug in 3 for the value of x:
ANSWER: Emporium sold 333 8-track players in 2013.
2. The half life of Neptunium-229 is modeled by
where A is the final amount and t is the time that has passed in minutes. This just means that the original amount will be multiplied by one half for every 4 minutes.
30 minutes has passed from 7:45 am to 8:15 am. Therefore, we just substitute 30 as the value of t to find the amount of Neptunium remaining by 8:15.
ANSWER: 2.76 grams of Neptunium-229 are remaining at 8:15 am.
3. To find how much annual interest is collected over x years, we just do the same modelling as the previous items. Knowing that the initial amount that Mr. Canonaco deposited into his bank account and that the <span>Dewey, Cheetum, & Howe Credit Union collects 6.25% annual interest per year, the equation will be as follows:
</span>
where x is the number of years and f(x) is the annual interest collected.
If you let x represent the number of free throws.
let y represent the number of two-point field goal.
let z represent the number of three-point shots made.
Then the correct system of linear equations is as follows:
x + 2y + 3z = 29 (The total number of points scored is 29.)
z = 3x - 29 (The number of 3-pointers was 29 less than 3 times the number of free throws.)
2y = z + 15 (Twice the number of 2-point shots made was 15 more than the number of 3-pointers.)
Solution:
This basketball player scored 10 points via free throws (10 at 1 point each), 16 points via 8 two-point shots made, and 3 points via 1 three-point shots made. So, in the choice its letter D.
