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)
Answer:
Area of the base is 10.5 cm².
Step-by-step explanation:
Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases
Vertical height = 6 cm
Volume = 63 cm³
From the formula,
63 = Area of the triangular base × 6
Area of the base = 
= 10.5 cm²
Therefore, area of the base is 10.5 cm².
There is missing information about this question that I found online.
Given function is:

The question is:
<span>Is this exponential growth or decay? Explain using your understanding of the properties of exponents.
</span>This is an exponential decay.
In general, we can write down exponential functions like this:

Parameter a is the key parameter that will tell how exponential function behaves. If it is positive we have an exponential growth. If it is negative we can rewrite function like this:

We can notice that in this case, the denominator will exhibit exponential growth, in other words, the functions rapidly declines. This is an exponential decay.
Given the ordered pair:
(8, 5)
Let's find the ordered pair that represents a point on the same graph assuming this is a graph of a proportional relationship.
Here, we have:
(x, y) ==> (8, 5)
Since this is a graph of a proportional relationship, let's find the constant of proportionality.
We have:

This means when x is 1, y is 5/8.
Thus, the ordered pair that also represents a point on the same graph is:

ANSWER: