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:
40 and 89
Step-by-step explanation:
let x be the number then the other number is 2x + 9, then
x + 2x + 9 = 129, that is
3x + 9 = 129 ( subtract 9 from both sides )
3x = 120 ( divide both sides by 3 )
x = 40
Thus the numbers are
x = 40 and 2x + 9 = 2(40) + 9 = 80 + 9 = 89
<span>reater than 3 tens 6 ones" probably means greater than 36, so maybe it's 37, 38, 39, and so on, up to 51. "It has more than 6 ones" probably means that it's got 7 or more in the ones place. so 40, 41, up to 46, and 50 and 51 can't be it. So we're left with 37, 38, 39, 47, 48, or 49 as possibilities for what Ava picked.</span>
In the third quadrant, the tangent is positive.
tan(θ) = tan(arcsin(0.7660)) ≈ 1.1916