Answer:
252 in^3
Step-by-step explanation:
Multiply all 12 x 7 x 3 = 84 x 3 = 252 in^3.
Hope this helps!
Since you need the vertex, and knowing the vertex will tell you the axis of symmetry, it is convenient to put the equation in vertex form.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
.. = -(x^2 +4x +(4/2)^2) +1 -(-(4/2)^2) . . . . complete the square
.. = -(x +2)^2 +5
The vertex is (-2, 5).
The axis of symmetry is x = -2.
we are given
airthematic sequence
we can use nth term formula

n is number of terms
an is nth term
d is common difference
a1 is first term
We are given
a7=40
we can use it



a18 = 106


we can subtract both equations



now, we can find a1

we can plug d=6


12th term:

now, we can plug values



so, 12th term is 70...........Answer
The number of ways that he can make the fruit salad if it must contain watermelon is 35.
<h3>What is Permutation and combination?</h3>
Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.
The salad contains water melon, now we have to select 4 more fruits out of 7.
Using combination
= n! / r! (n-r)!
= 7!/ 4! (7-4)!
= 7*6*5*4! / 4! * 3*2
= 35
Hence, number of ways that he can make the fruit salad if it must contain watermelon is 35.
Learn more about Permutation and combination here:
brainly.com/question/11732255
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A ) ( x - 3 )( x + 1 ) [ not perfect ]
B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]
C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]
D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]
Thus the correct answer is option D .