Answer:
The answer is 1767.15cm^3
Step-by-step explanation:
The formula for finding the volume of a spherical object is 4/3(π)(r^3),where r is the radius of the object. But here only the diameter was given. And diameter=2(r), where r is radius.
So to find the radius, divide the diameter by 2. Since by making r the subject of the equation you get r=diameter/2.
Using the formula
4/3(π)(r^3)=(4π((15/2)^3))/3
=(4π(7.5^3)/3
=(4π(421.875))/3
Since π is 3.141592654
(4π(421.875))/3=1/3(4(3.141592654)(421.875))
=1/3(5301.437603)
=1767.145868
But I rounded off the answer to 2 decimal places and so I got 1767.14
part A)
![\bf \begin{array}{|c|cccccc|ll} \cline{1-7} x&8&27&64&125&&x\\ \cline{1-7} y&\stackrel{\sqrt[3]{8}}{2}&\stackrel{\sqrt[3]{27}}{3}&\stackrel{\sqrt[3]{64}}{4}&\stackrel{\sqrt[3]{125}}{5}&&\sqrt[3]{x} \\ \cline{1-7} \end{array}~\hspace{10em}y = \sqrt[3]{x}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Ccccccc%7Cll%7D%20%5Ccline%7B1-7%7D%20x%268%2627%2664%26125%26%26x%5C%5C%20%5Ccline%7B1-7%7D%20y%26%5Cstackrel%7B%5Csqrt%5B3%5D%7B8%7D%7D%7B2%7D%26%5Cstackrel%7B%5Csqrt%5B3%5D%7B27%7D%7D%7B3%7D%26%5Cstackrel%7B%5Csqrt%5B3%5D%7B64%7D%7D%7B4%7D%26%5Cstackrel%7B%5Csqrt%5B3%5D%7B125%7D%7D%7B5%7D%26%26%5Csqrt%5B3%5D%7Bx%7D%20%5C%5C%20%5Ccline%7B1-7%7D%20%5Cend%7Barray%7D~%5Chspace%7B10em%7Dy%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
part B)
f(x) = 10 + 20x
so if you rent the bike for a few hours that is
1 hr.............................10 + 20(1)
2 hrs..........................10 + 20(2)
3 hrs..........................10 + 20(3)
so the cost is really some fixed 10 + 20 bucks per hour, usually the 10 bucks is for some paperwork fee, so you go to the bike shop, and they'd say, ok is 10 bucks to set up a membership and 20 bucks per hour for using it, thereabouts.
f(100) = 10 + 20(100) => f(100) = 2010.
f(100), the cost of renting the bike for 100 hours.
Hi! Your answer is q = -9
Please see an explanation for a better and clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
Since we want to solve for q-term. That means we are going to isolate q-term.
![\huge{3q+4+9=-14}](https://tex.z-dn.net/?f=%5Chuge%7B3q%2B4%2B9%3D-14%7D)
We can add 4 and 9 together.
![\huge{3q+13=-14}](https://tex.z-dn.net/?f=%5Chuge%7B3q%2B13%3D-14%7D)
Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.
![\huge{3q+13-13=-14-13}\\\huge{3q=-27}](https://tex.z-dn.net/?f=%5Chuge%7B3q%2B13-13%3D-14-13%7D%5C%5C%5Chuge%7B3q%3D-27%7D)
We are reaching to the final step where we divide the whole equation by 3.
![\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}](https://tex.z-dn.net/?f=%5Chuge%7B%5Cfrac%7B3q%7D%7B3%7D%3D-%5Cfrac%7B27%7D%7B3%7D%7D%5C%5C%5Chuge%7Bq%3D-9%7D)
Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!
To check the answer, simply substitute q = -9 in the equation.
![\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}](https://tex.z-dn.net/?f=%5Chuge%7B3q%2B4%2B9%3D-14%7D%5C%5C%5Chuge%7B3%28-9%29%2B13%3D-14%7D%5C%5C%5Chuge%7B-27%2B13%3D-14%7D%5C%5C%5Chuge%7B-14%3D-14%7D)
Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.
Hope this helps!
Answer:
C 1/2
Step-by-step explanation:
There are 4 suits, 2 suits are red (hearts and diamonds) while 2 are black (clubs and spades)
Since 13 cards are in each suit, 26 cards are red ( 2 * 13)
There are 52 total cards
P (red) = red cards/ total cards
= 26 / 52
= 1/2