Answer:
± 
, 
Step-by-step explanation:
See the attached image
This problem involves Newton's 2nd Law which is: ∑F = ma, we have that the acting forces on the mass-spring system are: 
that correspond to the force of resistance on the mass by the action of the spring and 
that is an external force with unknown direction (that does not specify in the enounce).
For determinate we can use Hooke's Law given by the formula 
where 
correspond to the elastic constant of the spring and 
correspond to the relative displacement of the mass-spring system with respect of his rest state.
We know from the problem that an 15 Kg mass stretches the spring 1/3 m so we apply Hooke's law and obtain that...
Now we apply Newton's 2nd Law and obtaint that...
± = 
Finally... ±
We know from the problem that there's not initial displacement and initial velocity, so... and
Finally the Initial Value Problem that models the situation describe by the problem is
Answer:
5 and 1 over 6
Step-by-step explanation:
<u>Simplifying the given:</u>
- Negative 2 and 1 over 6 – negative 7 and 1 over 3 ⇒ <em>translated as</em>:
- - 2 1/6 - (-7 1/3) = ⇒ <em>cancelling negatives and changing mixed fractions to improper fractions</em>
- - 13/6 + 22/3 = ⇒ <em>bringing to same denominator</em>
- - 13/6 + 44/6 = ⇒ calculating the numerator
- 31/6 = ⇒ making mixed fraction
- 5 1/6 ⇒ answer
<u>Correct choice is the last one: </u>5 and 1 over 6
Answer: 26
Step-by-step explanation: From the remainder theorem ,
If P (x) = 2x⁴ ⁻ x³ + 2x² ⁻ 6. is divided by ( x - 2 ).
It means that if P(x) is divided by (x - 2 ) and leaves a Remainder, it implies that x - 2 is not a factor of P(x) , but if it leaves no remainder, it means x-2 is a factor of P(x).
Therefore , to find the remainder, find the zero of x - 2, and substitutes for the value in P(x) to know the remainder
x - 2 = 0
x = 2
Now put this in P(x)
P(x) = 2(2)⁴ - (2)³ + 2(2)² - 6
= 2(16) -8 + 2(4) -6
= 32 -8 +8 -6
=26
Therefore the remainder when P(x) is divided by x -2
=26
Note: Since the division of P(x) by x - 2 leaves a remainder, it means that
x - 2 ≠ a factor of P(x)
Answer:
3 (equalateral)
Step-by-step explanation:
Answer:
120 feet
Step-by-step explanation:
Length/height =second number in ratio (here's it is 12)
L/10=12
Therefore length will be 120
