Answer:
34,623
Step-by-step explanation:
427,113 + 38,264 = 465377
500,000 - 465377 = 34,623 books in December must go out to meet the librarian's goal.
Answer: Them
Step-by-step explanation:
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
Answer:
a) 7/5
your y - intercept is wrong btw, the x should always be 0 on a y-intercept so it should be (0,7)
y-7 = 7/5 (x)
Step-by-step explanation:
given the x intercept = (-5,0) and the y intercept = (0,7), we can plug these points into the slop equation
y1-y2
____ = m
x1-x2
m = (0-7)/(-5-0) = -7/-5 = 7/5
slop-intercept form is basically point slope form
y-y1 = m(x-x1)
y-7 = 7/5(x-0)
Answer:
this is the answer please give brainliest