Answer:
60/15 = 4 hrs
Step-by-step explanation:
1. A motorcycle driver travels 15kph faster than a bicycle rider.
The motorcycle driver covers 60 km in two hours less than the time it takes the bicycle rider to travel the same distance?:
Let s = the bike speed
then
(s+15) = the motorcycle speed
Write a time equation; time = dist/speed
Bike time - M'cycle time = 2hr
60%2Fs - 60%2F%28%28s%2B15%29%29 = 2; Sorry for the mistake here!
multiply eq by s(s+15) cancel the denominators and you have
60(s+15) - 60s = 2s(s+15)
60s + 900 - 60s = 2s^2 30s
Combiner as a quadratic equation on the left
0 = 2s^2 + 30s - 900
simplify divide by 2
s^2 + 15s - 450 = 0
Factors to
(s+30)(s-15) = 0
the positive solution
s = 15 km/hr is the bike speed
then
30 km/hr is M'cycle speed
D)a Because the square root and square cancel
This is a quadratic in the form of ax squared +bx +c
So
a = 3
b = -5
c = 2
Hope this helps!
The region r is enclosed by the curves y₁ = 4 - 4x² and y₂ = 0 is 16/3 or 5.333 square units.
<h3>What is an area bounded by the curve?</h3>
When the two curves intersect then they bound the region is known as the area bounded by the curve.
The region r is enclosed by the curves y₁ = 4 - 4x² and y₂ = 0
The intersection points will be
y₁ = y₂
4 - 4x² = 0
x = ±1
Then the area bounded by the curves will be
![\rm Area = \int _{-1}^1 (y_1- y_2) dx\\\\Area = \int _{-1}^1 (4 - 4x^2) dx\\\\Area = \left [ 4x - \dfrac{4x^3}{3} \right ]_{-1}^1\\\\Area = 4 \left ( 1 + 1 \right ) - \dfrac{4}{3} \left ( 1^3 - (-1)^3 \right )\\\\Area = 8 - \dfrac{8}{3}\\\\Area = \dfrac{16}{3} = 5.333 \](https://tex.z-dn.net/?f=%5Crm%20Area%20%3D%20%5Cint%20_%7B-1%7D%5E1%20%28y_1-%20%20y_2%29%20dx%5C%5C%5C%5CArea%20%3D%20%5Cint%20_%7B-1%7D%5E1%20%284%20-%204x%5E2%29%20dx%5C%5C%5C%5CArea%20%3D%20%5Cleft%20%5B%204x%20%20-%20%5Cdfrac%7B4x%5E3%7D%7B3%7D%20%5Cright%20%5D_%7B-1%7D%5E1%5C%5C%5C%5CArea%20%3D%204%20%5Cleft%20%28%201%20%2B%201%20%5Cright%20%29%20-%20%5Cdfrac%7B4%7D%7B3%7D%20%5Cleft%20%28%201%5E3%20-%20%28-1%29%5E3%20%5Cright%20%29%5C%5C%5C%5CArea%20%3D%208%20-%20%5Cdfrac%7B8%7D%7B3%7D%5C%5C%5C%5CArea%20%3D%20%5Cdfrac%7B16%7D%7B3%7D%20%3D%205.333%20%5C)
More about the area bounded by the curve link is given below.
brainly.com/question/24563834
#SPJ4
The formula for the volume of a cube is:
v=s³
Where v=volume and s=the length of a side
Since we know that the length of a side of the gift box is 15cm, we can solve for the volume.
v=15³=3375cm³
Answer: V=3375cm³
