Answer:
137/(36π) ft/s
Step-by-step explanation:
The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...
A = 4πr² = 4π(6 ft)² = 144π ft²
Then the relationship above is ...
dV/dt = A·dr/dt
548 ft³/s = (144π ft²)·dr/dt
dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s
Answer:
Step-by-step explanation:
2. if the cost of 10 gallons of gasoline is 30 dollars then divide 10 by 10 and divide 30 by 10 to get 1 and 3 so the cost of 1 gallon is $3
3. if 2 packets of bread is 3 dollars then divide 2 and 3 by 2 so in conclusion 1 loaf f bread is $1.50.
4. if a cleaning service charges $1000 for 20 offices then divide 1000 by 20 and 20 by 20 to have an answer of $50 for every one office.
5. to find the answer to this problem you need to divide 320 by 4 to find out organes per bag so 80 oranges per bag.
6. if the baker ca bake 12 cakes every 45 minutes then he can bake 4 cakes every 15 minutes because divide both 12 and 45 by three so in conclusion the baker can bake 16 cakes every hour.
7. so if you can print 100 pages for $2 then multiply 100 and 2 by two to get 200 pages for $4
8. so to find the answer to this all you need to do is divide 12 by six to fin out that it is 2 apples for $1 and for the other store you divide 21 by seven to find out that it is 3 apples for $1.
9. to find out the answer for this divide 24,000 by 12 to find that his monthly income is $2,000.
10. if a 0.2 pund package is $4 then a 0.001 pound package is 20 cents.
I hope i got the answers right and that i could help! :)
Hi there!
We are given a question that asks us to translate some given information into numerical format, or numbers. We can do that by first finding key words. Such words are sum and at least. Sum indicates addition, while at least indicates a greater than or equal to sign, or ≥. Now that we have found our key info, we can move on.
The question states that 3 times the sum of a number and 17. The 'sum of a number and 17' part can be represented by the expression x + 17, where x is some number. Next, three times means that we need to multiply 3 to the expression x + 17, giving us 3(x + 17). Finally, the question gives us that the whole expression 3(x + 17) is 'at least', or greater than or equal to, 22. Hence, we get the inequality 3(x + 17) ≥ 22, which is also our answer. Hope this has come of assistance to you and have a great day!
Answer:
the 3rd one
Step-by-step explanation:
