Answer:
V = π /2 volume units
Step-by-step explanation:
Volume of y = √x bounded by y = x and y = 1
y = √x
limits of integration ( see Annex )
By simple inspection limits of integration are x = 0 to x = 1
or y = √x and y = x
solving these two equations
x = 0 y = 0 x = 1 y = ± 1
V = ∫ π*f(x)²*dx
V = π * ∫₀¹ x*dx = π * x²/2 |₀¹
V = π * (1/2) - 0
V = π /2 volume units
Answer:
41
Step-by-step explanation:
BDA = DBC+CBA
84=5x+3 + 6x-7
Combine like terms
84 = 11x-4
Add 4 to each side
84+4= 11x -4+4
88 =11x
Divide each side by 11
88/11 = 11x/11
8 = x
We want angle ABC
ABC = 6x-7
=6*8 -7
=48-7
=41
Answer:
Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Step-by-step explanation:
Let X=set of all odd numbers
that is 
Let Y=set of all even numbers
that is 
Verify that 2(n+1) represents an even number where n is an odd number:
Put n=1 in 2(n+1) we get
2(1+1)=2(2)=4
Put n=3 in 2(n+1) we get
2(3+1)=2(4)=8
Put n=5 in 2(n+1) we get
2(5+1)=2(6)=12
and so on.
From above results we get 2(n+1) represents an even number and is belongs to the set Y when n is an odd number.
Therefore Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
<span>The correct answer is 2x</span>²<span>-16x+30.
Explanation<span>:
(p*q)(x) is a composition of the two functions p(x) and q(x); it is the same as p(q(x)). We replace every x in p(x) with our value of q(x), x-3:
instead of 2x</span></span>²<span><span>, we have 2(x-3)</span></span>²<span><span>, and instead of -4x, we have -4(x-3).
This gives us 2(x-3)</span></span>²<span><span>-4(x-3). This is the same as 2(x-3)(x-3)-4(x-3).
Multiplying, we have
2(x*x-3*x-3*x-3(-3))-(4*x-4*3)
=2(x</span></span>²<span><span>-3x-3x+9)-(4x-12)
=2(x</span></span>²<span><span>-6x+9)-4x+12.
Using the distributive property gives us
2*x</span></span>²<span><span>-2*6x+2*9-4x+12
=2x</span></span>²<span><span>-12x+19-4x+12.
Combine like terms, and we have 2x</span></span>²<span><span>-16x+30.</span></span>
A particular pizza store models their pizza sales based on their price. They find that at the original price of $5 per slice, they will sell approximately 20 slices. But for $2 per slice, they will sell approximately 50 slices. The rate of change is 10 slices per dollar. can i have the brainliest