16.25 or .1625 is the awsner
Answer:
a. 
b. 
c.
or 
d.
or 
e. 
Step-by-step explanation:

Expand

Open brackets


Collect Like Terms


Express 25 as 9 + 16

Factorize:





Expand


Open Brackets

Collect Like Terms


Factorize

Expand the expression in bracket

Factorize:




Factorize


The answer can be in this form of further expanded as follows:

Apply difference of two squares


Express
as 

Expand



The answer can be in this form of further expanded as follows:

Apply difference of two squares


Represent as squares

Apply difference of two squares

Represent as squares

Apply difference of two squares

A student ticket cost $4 which is half the price of a full price ticket
Given that the probability of mail being delivered is 0.90, to evaluate the probability that the mail will be delivered before 2 p.m for 2 consecutive days will be evaluated as follows:
Let the probability that the milk will be delivered before 2 p.m be P(x). Since the two days are independent events, the probability of the mail being delivered before 2 p.m in 2 consecutive days will be:
P(x)×P(x)
=0.9×0.9
=0.81
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