Answer:
f/g at t =3 will be 9/8
d/ddx(f(x)/g(x))=f'(x)d(x)-f(x)g'(x)/(g'(x))^2
rate of change=(6*8)+(9*9)/9^2
rate of change =43/27=1.5925
Answer:
<em>500πx³y³z³ </em>
Step-by-step explanation:
Volume of a sphere = 4πr³
r is the radius of the sphere
Given
Diameter of the sphere = 10xyz mm
Radius = diameter/2
Radius = 10xyz/2
Radius = 5xyz
Substitute the radius into the formula
Volume of the sphere = 4π(5xyz)³
Volume of the sphere = = 4π(125)x³y³z³
Volume of the sphere = 500πx³y³z³
<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>
Answer:
Joshua worked 4 hours and luke worked 7
Step-by-step explanation:
25x + 35x +105 = 345
60x = 345 - 105
60x = 240
x = 240/60
x = 4 hours
Answer: 1.2703
Step-by-step explanation:
Given : Sample size : n= 17, which is a small sample (n<30), so we use t-test.
Significance level : 
Then , Critical value : 
Standard deviation: 
The formula to find the margin of error : -
Hence, the error bound (EBM) of the confidence interval with a 90% confidence level.=1.2703
