Multiplying each side by 3/4, we get (3/4)V=pir^3. Dividing both sides by pi, we then get r^3=(3/4)V/pi
For the second part, we get that 381.51=(4/3)πr^3, so plugging 381.51 into the equation above we get (3/4)(381.51)/pi=around 91, and r= the cube root of r^3, which would equal around 4.5 here
Answer: It means Aria's vertical distance from the top of the valley after walking 3 km along the trail is less than 3 km.
Step-by-step explanation:
Since, Here d represents distance along the trail.
And, V(d) represents the vertical distance from the top of the valley (in kilometers) after walking d kilometers along the trail.
If the distance along the trial is 3 km.
That is, d = 3
Then the vertical distance she walked from the top of the valley = V(3)
But According to the question,
V(3) < 3
Her vertical distance from the top of the valley after walking 3 km along the trail is less than 3 km.
In other words, For going 3 km along the trail her vertical distance from the top of the valley is less than 3.
Answer:
well done .good luck.....
Steps:
1. Put 2x + 2y=16 into slope-intercept form
2. Subtract 2x on both sides
2y= -2x + 16
3. Divide by 2 on both sides
Y= -x + 8
4. Substitute the y in 4x -3y=-3 for -x + 8
4x -3(-x + 8)= -3
5. Multiply everything in parentheses
4x + 3x + (-24)= -3
7x + (-24)=-3
6. Add 24 on both sides
7x=21
7. Divide by 7
8. X= 3
9. Substitute the x for a 3 in one of the equations
Y=-x + 8
Y= -3 + 8
Y=5
10. Your answers are
X= 3 Y= 5
Answer:
The value is
Step-by-step explanation:
Generally the number of employee to survey(sample size) is mathematically represented as
![n = [ \frac{z * \sigma }{E} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7Bz%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%5E2)
Here E is the margin of error which is given as E = 47
So substituting 1.645 for z and 155 for 
![n = [ \frac{1.645 * 155 }{47} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7B1.645%20%2A%20%20155%20%7D%7B47%7D%20%5D%5E2)
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