Answer:
The resulting cross section is a square an the area is
Step-by-step explanation:
we know that
All the faces of the cube are square with side lengths measuring 4 inches
If the cube was sliced parallel to the base
then
the cross section is a square with side lengths measuring 4 inches
so
The area of a square is
we have
substitute
Answer:
3/5
Step-by-step explanation:
The probability of an event is the ratio between the number of favourable cases and probable cases.
Probable cases: how many different papers can be drawn: 5, since there are 5 names
Favourable cases: how many draws satisfy event C: 2 because out of the 5 names only three have less than five letters (David and Sarah have exactly 5 so they should not be included).
Probability of event C=2/5
Answer:
Step-by-step explanation:
We have been given an equation . We are asked to write our given equation in standard form.
We know that standard form of an equation is in form , where A, B and C are constants.
First of all, we will bring x term to left of the equation as:
Now, we will multiply both sides of equation by 5 as:
Therefore, our equation in standard form would be .
(1 point) Let pp be the quartic (degree 4) polynomial that satisfies p(i)=2i,i=0,1,2,3,4. p(i)=2i,i=0,1,2,3,4. Then p(x)=p(x)= .
julia-pushkina [17]
Answer:
a = 1/3
b = -3
c = 26/3
d = -6
e = 0
Step-by-step explanation:
Given the quartic polynomial
p(x)=ax⁴+bx³+cx²+dx+e and
p(i) =2i when i=0,1,2,3,4
If i = 0:
p(0) = 2(0)
p(0) = 0
0 = 0+0+0+0+0++e
e = 0
When i = 1
p(1) = 2(1) = 2
2 = a(1)⁴+b(1)³+c(1)²+d(1)+e
2 = a+b+c+d+0
a+b+c+d = 0... (1)
When i = 2, p(2) = 2(2)
p(2) = 4
4 = a(2)⁴+b(2)³+c(2)²+d(2)+e
4 = 16a+8b+4c+2d+0
16a+8b+4c+2d = 4
8a+4b+2c+d = 2... (2)
When i = 3
p(3) = 8
8 = a(3)⁴+b(3)³+c(3)²+d(3)+0
8 = 81a+27b+9c+3d..(3)
When i = 4
p(4) =16
16 = a(4)⁴+b(4)³+c(4)²+d(4)+0
16 = 256a+64b+16c+4d
64a+16b+4c+d = 4...(4)
Solving equation 1 to 4 simultaneously.
Check the attachment for solution.
Step-by-step explanation:
5(a-3)(a-3)
5(a-3)^2
X^4(2x+1) - (2x+1)
(x^4-1)(2x+1)
(x^2-1)(x^2+1)(2x+1)
(x-1)(x-1)(x^2+1)(2x+1)