C = 2(3.14) x r
C = 6.28 x 10
C = 62.8 yards
1.532 rounded to nearest tenth is 1.5
Answer:
- y = 0.937976x +12.765
- $12,765
- $31,524
- the cost increase each year
Step-by-step explanation:
1. For this sort of question a graphing calculator or spreadsheet are suitable tools. The attached shows the linear regression line to have the equation ...
... y = 0.937976x + 12.765
where x is years since 2000, and y is average tuition cost in thousands.
2. The y-intercept is the year-2000 tuition: $12,765.
3. Evaluating the formula for x=20 gives y ≈ 31.524, so the year-2020 tuition is expected to be $31,524.
4. The slope is the rate of change of tuition with respect to number of years. It is the average increase per year (in thousands). It amounts to about $938 per year.
5. [not a math question]
Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
Answer:
x= 2.73cm
<u>1cm : 0.6828 = 4cm : 2.73cm</u>
For the same angle we just work out 1cm first.
a^2+ b^2= c^2
0.82^2 + b^2 = 1^2 = changing to units 10
6.724 + b^2 = 10
10-6.724 = 2.276
Then x 3 and change units down by 10= 0.6828
Step-by-step explanation:
Below shows why we must convert to mm from cm
a^2+ b^2= c^2
0.82^2 + b^2 = 1^2 =
0.6724 + b^2 = 1
1 - 0.6724 = b = 0.2276
0.2276 x 3 = 0.6828 cm
