The space between the two spheres will be the volume of the larger sphere minus the volume of the smaller sphere. Given that the volume of any sphere is:
V=(4πr^3)/3 The space between to sphere of different radius and positioned about the same center is:
S=(4πR^3)/3-(4πr^3)/3 I used S=volume of space, R=larger radius and r=smaller radius...
S=(4π/3)(R^3-r^3), we are told that R=5 and r=4 so
S=(4π/3)(5^3-4^3)
S=(4π/3)(125-64)
S=(4π/3)(61)
S=244π/61
S=4π cm^3
S≈12.57 cm^3 (to nearest hundredth of a ml)
The sequence represented by given explicit definition is:
-4,-1,4,11,20,....
Step-by-step explanation:
We will find the terms of the sequence to find the right sequence for given explicit definition
Given explicit formula is:

We will put n=1,2,3,4,5...... in the formula
So,
Putting n=1

Putting n=2

Putting n=3

Putting n=4

so, comparing the values with given options we can conclude that
The sequence represented by given explicit definition is:
-4,-1,4,11,20,....
Keywords: Sequence, Explicit definition
Learn more about sequences at:
#LearnwithBrainly
Power rule. d/dx(x^n) = nx^(n-1)
We can pull the 5 out and multiply it back in later.
d/dx(x^2) = 2x
2(10) = 20*5 = 100
The student is not correct.
For angles to be coterminal, the difference between their measures must be a multiple of 360°.
The difference between 180° and –180° is 360°.
Angles with measures 180° and –180° are coterminal.
Answer:
Step-by-step explanation:
Let Naomi's wage = £ x
Reduction in wage = 10% of x = 0.1 *x = 0.1x
x - 0.1x = 252
0.9x = 252
x = 252/0.9

= £ 280
Weekly wage if she had received 10% pay increase
Increment = 10% of 280 = 0.1*280 = 28
Weekly wage after increment = 280 +28 = £ 308