Answer:
200
Step-by-step explanation:
170% of x = 680
Set up an equation:
170/100 • x/1 = 680
1.7 • x = 680
1.7x = 680
x = 400
50% of 400
1/2 • 400 = 200
Answer:
there are 32 subsets
Step-by-step explanation:
Answer:just tryna get points don't mind me
Step-by-step explanation:
....
Answer:
D
Step-by-step explanation:
We require to calculate the volume (V) of the cone and sphere.
The volume of a cone is calculated as
V =
πr²h ( r is the radius and h the height )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V =
π × 2.5² × 8 ≈ 52.36 cm³
The volume of a sphere is calculated as
V =
πr³ ( r is the radius )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V=
π × 2.5³ ≈ 65.45 cm³
Since volume of the sphere is greater than the volume of the cone
Thus when the ice cream melts it will overflow → D
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.