Answer:
- 10 mice left after 5 years
Step-by-step explanation:
<u>The function is given:</u>
- f(x) = 5719(0.28)ˣ
- f(x) is the number of mice left after x years, 5719 is initial number of mice (now) and x is the number of years from now
<u>Substitute x with 5 for 5 years and find the value of the function.</u>
- f(5) = 5719(0.28)⁵ = 10 (rounded up to the integer number)
- Multiply 5719 by 0.28 to the 5th power to get approximate number of 10
There will be 10 mice left after 5 years
Answer:
You will likely need to actually measure a few people for parts 1 and 2, but the statement in part 2 should be something like "The length of the forearm of one person will be very similar to the length of their foot" or "As the length of the forearm increases, the length of the foot will increase in similar amounts".
Since the equation in pt.3 is y = 0.860x + 3.302, if x=17, then 0.860(17) + 3.302=17.922
The next question is dependant on pt.1
The data from pt.1 should be somewhat similar to the data you collected, the values between them are different because of the allowed error margin between the two.
The data can be made into a function using the "line of best fit". The equation in part A represents a function because there are no two points where two y coordinates are on the exact same x coordinate.
Step-by-step explanation:
The answer is B because <span>(2*15)+(3*15-10)= 65</span>
Answer:
67.5 degrees
Step-by-step explanation:
The angles at the center of the figure = 360 degrees
Therefore, 3x + x + 90 degrees = 360 degrees
simplifying:
4x + 90 degrees = 360 degrees
4x = 360 - 90
4x = 270 degrees
x = 270÷ 4
x = 67.5 degrees
5<em>x</em>² - 7<em>x</em> + 2 = 0
5(<em>x</em>² - 7/5 <em>x</em>) + 2 = 0
5(<em>x</em>² - 7/5 <em>x</em> + 49/100 - 49/100) + 2 = 0
5(<em>x</em>² - 2 • 7/10 <em>x</em> + (7/10)²) - 49/20 + 2 = 0
5(<em>x</em> - 7/10)² - 9/20 = 0
5(<em>x</em> - 7/10)² = 9/20
(<em>x</em> - 7/10)² = 9/100
<em>x</em> - 7/10 = ± √(9/100)
<em>x</em> - 7/10 = ± 3/10
<em>x</em> = 7/10 ± 3/10
<em>x</em> = 10/10 = 1 or <em>x</em> = 4/10 = 2/5
