9514 1404 393
Answer:
x ≈ 0.309906932381 or 4
Step-by-step explanation:
There are no algebraic methods of solving a mixed exponential and polynomial equation. The value of x can be found by guessing, or by other means such as trial and error or graphing.
Attached is a graph showing two solutions. x = 4 is the integer solution (2^4 = 4·4). The irrational solution is approximately x ≈ 0.309906932381. That precision is obtained by Newton's method iteration, easily done by a graphing calculator.
Answer:
1. 157 in³
2. 12 in
3. volume of the rice container is 1.5 times the volume of the sugar container
4. 50.24 in³
5. Rice container has the greatest volume
Flour container has the smallest volume
Step-by-step explanation:
By inspection of the diagram, the three containers are all cylinders.
Volume of a cylinder =
(where r is the radius and h is the height)
Given = 3.14
1. volume of sugar container = 3.14 x 2.5² x 8 = 157 in³
2. 235.5 = 3.14 x 2.5² x h
⇒ 235.5 = 19.625h
⇒ h = 235.5 ÷ 19.625 = 12 in
3. height of sugar container = 8 in
height of rice container = 12 in
12 ÷ 8 = 1.5
⇒ height of rice container is 1.5 times the height of the sugar container
volume of sugar container = 157 in³
volume of rice container = 235.5 in³
235.5 ÷ 157 = 1.5
⇒ volume of the rice container is 1.5 times the volume of the sugar container
4. volume of flour container = 12.56 x 4 = 50.24 in³
5. volume of sugar container = 157 in³
volume of rice container = 235.5 in³
volume of flour container = 50.24 in³
Rice container has the greatest volume
Flour container has the smallest volume
Answer:
Step-by-step explanation:
Well lets graph it first,
Look at the image below ↓
By looking at the image we can tell that answer choice .
<em>Thus,</em>
<em>answer choice B is correct.</em>
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<em>Hope this helps :)</em>
