(60/30)(x^20/x^10)(y^24/y^12)
(2)(x^10)(y^12)
2x^10y^12
Answer:
This is a linear equation of the form y = mx + b, where m is the rate of change and b is the y-intercept, also known as the value of y when x = 0. Our independent variable is the number of miles we travel, and we will call that x. If we pay .20 per mile, and miles is "x", we represent that as .20x. The 70 is the amount we will pay per day even if we drive 0 miles. Therefore, the equation is:
y = .20x + 70.
I cannot graph this for you here.
We can choose a number of miles, say 100, and solve for our cost:
y = .20(100) + 70
y = 20 + 70
y = 90
We can expect to pay $90 if we drive 100 miles in a day.
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Step-by-step explanation:
Work done on cart
:
W
=
6000
J
Kinetic energy of cart
:
E
K
=
6000
J
Explanation:
Work done
W
is defined as the product of force
F
and distance
s
:
⇒
W
=
F
⋅
s
Let's substitute the values of
F
and
s
into the equation:
⇒
W
=
300
N
⋅
20
m
⇒
W
=
300
kg
⋅
m s
−
2
⋅
20
m
⇒
W
=
300
⋅
20
kg
⋅
m
2
s
−
2
⇒
W
=
6000
kg
⋅
m
2
s
−
2
∴
W
=
6000
J
The gain in kinetic energy
E
K
is the same amount as the work done moving the cart:
∴
E
K
=
6000
Answer:
The answer is 148.6666667
Step-by-step explanation:
1) Set a linear quation
2) Cross multiply
3) Multiple the right side
4) Divide both side by 15
5) Solve the linear equation
32 will go into 284 8 times completely but the decimal is 8.875
