Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.
For the diagonal of the floor:
20^2 + 48^2= c^2
400+2304= c^2
c=52
For the diagonal of the cube:
52^2 + 10^2 = c^2
2704+100=c^2
c=52.95
Rounded= 53
Tell me if this helps!!!
Answer:
kilometers per hour.
Step-by-step explanation:
We have been given an 
, which describes the number of kilometers y that a van travels in x minutes. We are asked to to find the constant speed of the van in terms of hours.
We can see that van travel 
kilometers in x hours. To find the constant speed of van, we will substitute 
in our given equation as:
Since van travels 
kilometers in one hour, therefore, constant speed of van is kilometer per hour or 
kilometers per hour.
Answer:
1345.01694448 days
Step-by-step explanation:
24 weeks = 24 x 7 = 168 days
24 months = 24 x 30 x 7 = 168 x 7 = 1176 days
24 seconds = 0.000277778 days
24 minutes = 0.0166667 days
24 hours = 1 day
Total = 1345.01694448 days
We know that for each triangle made up by dashed line segment forms 30° angles, so, for example, ∠GOH is 30° and then ∠HOI is 30°
Rotating the shape 240° around the centre is the same as counting in 30°
The triangle GOH will first fit the triangle HOI then triangle IOJ and so on until it has completed 8 times 30° turn. Its final position is shown in the diagram below
