Answer:
f(x)= 5x+2
Step-by-step explanation:
Slope is 5, y intercept is (0,2)
The answer would be 20-(3+2) because first you do what is inside the parentheses 3+2=5 and now you have to subtract 20-5=15. Cody’s change should be $15.
Kim rolls a dice and flips a coin.
For coin: we have either H or T
For dice: we have 1, 2, 3, 4, 5 or 6
On a coin, the probability of heads:
On a dice, the probability of getting 2 :
Hence, the probability of getting a 2 and a head is
=
So, the probability that Kim gets a 2 and a head is
Answer:
V=25088π vu
Step-by-step explanation:
Because the curves are a function of "y" it is decided to take the axis of rotation as y
, according to the graph 1 the cutoff points of f(y)₁ and f(y)₂ are ±2
f(y)₁ = 7y²-28; f(y)₂=28-7y²
y=0; x=28-0 ⇒ x=28
x=0; 0 = 7y²-28 ⇒ 7y²=28 ⇒ y²= 28/7 =4 ⇒ y=√4 =±2
Knowing that the volume of a solid of revolution V=πR²h, where R²=(r₁-r₂) and h=dy then:
dV=π(7y²-28-(28-7y²))²dy ⇒dV=π(7y²-28-28+7y²)²dy = 4π(7y²-28)²dy
dV=4π(49y⁴-392y²+784)dy integrating on both sides
∫dV=4π∫(49y⁴-392y²+784)dy ⇒ solving ∫(49y⁴-392y²+784)dy
49∫y⁴dy-392∫y²dy+784∫dy =
V=4π( ) evaluated -2≤y≤2, or 2(0≤y≤2), also
⇒ V=25088π vu