Which ratios are equivalent ratios for 10/20

A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t repre

IrinaVladis [17]

For the answer to the question above, I'll show my solution for the answer below.
Area A = pi r^2
The rate of change of area = d A/ d t = 2 pi r d r/d t 
r= 2t, d r = 2 d t 
This gives 
d A/ d t = 2 pi 2t 2 d t = 8 pi t dt 
Integrate it 
A= 4 pi t^2. 
After t=5, the area will be 100* 3.14 square= 314 square units.

3 0

2 years ago

Read 2 more answers

An article in Medicine and Science in Sports and Exercise "Maximal Leg-Strength Training Improves Cycling Economy in Previously

Hatshy [7]

Answer:

The 99% confidence interval for the mean peak power after training is [299.4, 330.6]

$299.4\leq\mu\leq 330.6$

Step-by-step explanation:

We have to construct a 99% confidence interval for the mean.

A sample of n=7 males is taken. We know the sample mean = 315 watts and the sample standard deviation = 16 watts.

For a 99% confidence interval, the value of z is z=2.58.

We can calculate the confidence interval as:

$M-z\sigma/\sqrt{n}\leq\mu\leq M+z\sigma/\sqrt{n}\\\\315-2.58*16/\sqrt{7}\leq\mu\leq 315+2.58*16/\sqrt{7}\\\\315-15.6\leq \mu\leq 315+15.6\\\\299.4\leq\mu\leq 330.6$

The 99% confidence interval for the mean peak power after training is [299.4, 330.6]

5 0

2 years ago

Is 0.6 repeating a rational number

julsineya [31]

Any decimal number that is repeating can be written in the form $\frac{a}{b}$ with b not equal to zero, so they are rational numbers.

The short answer is yes, 0.6 repeating is a rational number.

Hope this helped :)

6 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

ddd [48]

Answer:

$f'(x) = 4x^2 - 3$ for $x \le -3$