Answer:
98 784 cm³
Step-by-step explanation:
Formula for volume of sphere: × × r³
Volume of sphere = × × 42³
= × 74 088 ×
= 98 784 cm³
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Answer:
720 ways
If you've got six cards you can arrange them in 6! ways = 720 ways.
Step-by-step explanation:
thank me later
Answer:
E
Step-by-step explanation:
We are given that a particle's position along the x-axis at time <em>t </em>is modeled by:
And we want to determine at which time(s) <em>t</em> is the particle at rest.
If the particle is at rest, this suggests that its velocity at that time is 0.
Since are we given the position function, we can differentiate it to find the velocity function.
So, by differentiating both sides with respect to <em>t</em>, we acquire:
Differentiate. So, our velocity function is:
So, we will set the velocity to 0 and solve for <em>t</em>. Hence:
We can divide both sides by 6:
Factoring yields:
By the Zero Product Property:
Hence:
Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.
Our answer is E.
Answer:
The key word ''in all'' means total so this calls for addition so we need to add all fractions first to get our answer.
- First we need to add all whole numbers
- next we need to find the LCD of all fractions which is 4
- next we change the denominators into the LCD (4)
- next we join them all together so now it will be 3 + 2 + 3 + 1 + 3 + 2 over 4
- since 2 + 3 + 1 + 3 + 2 equals 11 we simplify it to 3 + 11/4
- now we make 11/4 to a mixed fraction which is 2 3/4
- now we add 3 + 2 to make 5 and keep the fraction
Answer: Joanna bought 5 3/4 pounds of fruit in all.
Step-by-step explanation: