Y=-4+3x is different because all others have a negative 4 AND a -3x
First we write the mathematical model in a generic way:
"The stopping distance of an automobile is directly proportional to the square of its speed v"
d = kv ^ 2
Where,
k: proportionality constant.
We now look for the value of K:
d = kv ^ 2
90 = k ((70) * (5280/3600)) ^ 2
k = 90 / ((70) * (5280/3600)) ^ 2
k = 0.008538539 s ^ 2 / feet
The equation will then be:
d = (0.008538539) * v ^ 2
For v = 71 miles per hour we have:
d = (0.008538539) * ((71) * (5280/3600)) ^ 2
d = 92.6 feet
Answer:
a mathematical model that gives the stopping distance in terms of its speed v is:
d = (0.008538539) * v ^ 2
The stopping distance if the brakes are applied when the car is traveling at 71 miles per hour is:
d = 92.6 feet
Answer:
See below
Step-by-step explanation:
- Initial Principal P₀ = 1000
- End of first period = 1000 + 1000*0.02/4 = 1005
- End of second period = 1005 + 1000*0.02/4 = 1010
- End of third period = 1010 + 1000*0.02/4 = 1015
- End of fourth period = 1015 + 1000*0.02/4 = 1020
Answer:
Step-by-step explanation:
9(3−2x)=2(10−8x)
Step 1: Simplify both sides of the equation.
9(3−2x)=2(10−8x)
(9)(3)+(9)(−2x)=(2)(10)+(2)(−8x)(Distribute)
27+−18x=20+−16x
−18x+27=−16x+20
Step 2: Add 16x to both sides.
−18x+27+16x=−16x+20+16x
−2x+27=20
Step 3: Subtract 27 from both sides.
−2x+27−27=20−27
−2x=−7
Step 4: Divide both sides by -2.
−2x
−2 = −7
/−2
x=
7/
2
Answer:
x=
7/
2
We can solve for the length of side a to the nearest whole number using the Laws of Cosines such as the formula is shown below:
a²=b²+c²-2bcCosA
Solving for the value of a, we have:
a²=10²+14²-2(10)(14)cos54°
a²=131.42
a=11.46
The answer is 11.46 or 11.5.