The value of c is { c | c ∈ R, c ∉ {-1,0,2,12} }.
c is a number such that it is not in the set {-1,0,2,12} else we end up with a domain value having multiple range values, contradicting with the definition of a function.
The piece of ribbon would be 75 inches. The ribbon would be 75 inches because 1 foot would be 12 inches and you would multiply 12 by 6 to get 72. Then, 1/4 of a foot would be 3 inches because you could divide 12 and 4(the denominator you are dealing with) to get 3. Then, add 72 + 3 to get 75. Hope this helps!
Answer:
<h2>y = 2</h2>
Step-by-step explanation:
To find the value of y when x = 8 we must first find the relationship between the two variables.
The statement
y varies directly with variable x is written as
y = kx
where k is the constant of proportionality
when
x = 12
y = 3
Substitute the values into the above formula and solve for k
That's
3 = 12k
Divide both sides by 12
![k = \frac{1}{4}](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20)
So the formula for the variation is
![y = \frac{1}{4} x](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20x)
when
x = 8
![y = \frac{1}{4} \times 8](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%5Ctimes%208)
we have the final answer as
<h3>y = 2</h3>
Hope this helps you
Answer:
a. 18
Step-by-step explanation:
AB+BC = AC
x + x = 36
2x = 36
x = 36/2
x = 18
Answer:
30 km/h car
Step-by-step explanation:
From analysis the car traveling at 30 km/h has greater kinetic energy
we can deduce it from the expression of kinetic energy which is
![KE=\frac{1}{2} mv^2](https://tex.z-dn.net/?f=KE%3D%5Cfrac%7B1%7D%7B2%7D%20mv%5E2)
Assuming the mass m= 1 kg
For the 30 km/h
![KE=\frac{1}{2}*1*30^2 \\\\KE=\frac{1}{2}*1*900\\\\\KE=450 J](https://tex.z-dn.net/?f=KE%3D%5Cfrac%7B1%7D%7B2%7D%2A1%2A30%5E2%20%5C%5C%5C%5CKE%3D%5Cfrac%7B1%7D%7B2%7D%2A1%2A900%5C%5C%5C%5C%5CKE%3D450%20J)
For the 15 km/h
![KE=\frac{1}{2}*2*15^2 \\\\ KE=\frac{1}{2}*2*225 \\\\\ KE=\frac{1}{2}*450 J\\\\\ KE=225 J](https://tex.z-dn.net/?f=KE%3D%5Cfrac%7B1%7D%7B2%7D%2A2%2A15%5E2%20%5C%5C%5C%5C%20KE%3D%5Cfrac%7B1%7D%7B2%7D%2A2%2A225%20%5C%5C%5C%5C%5C%20KE%3D%5Cfrac%7B1%7D%7B2%7D%2A450%20J%5C%5C%5C%5C%5C%20KE%3D225%20J)
Though the kinetic energy is a function of mass and velocity, but from our analysis the faster moving object has more KE