Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is thatnumber times itself. The perfect squares are the squares of the wholenumbers. The square root of a number, n, written below is the number that gives n when multiplied by itself.
Answer:
B
Step-by-step explanation:
From the given information:
Sienna has $8 denotes the unit blocks of x tiles. So, she saved $3 per week.
This implies that:
8x + 3(1) = 8x + 3
Also,
If Jacob as well had $6 which implies 6x unit block of tiles while he saved $4;
i.e.
6(x) + 4(1) = 6x + 4
So;
the model that can determine when Sienna will have the same amount as Jacob is:
8x + 3 = 6x + 4
Answer:
1716 ;
700 ;
1715 ;
658 ;
1254 ;
792
Step-by-step explanation:
Given that :
Number of members (n) = 13
a. How many ways can a group of seven be chosen to work on a project?
13C7:
Recall :
nCr = n! ÷ (n-r)! r!
13C7 = 13! ÷ (13 - 7)!7!
= 13! ÷ 6! 7!
(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)
1235520 / 720
= 1716
b. Suppose seven team members are women and six are men.
Men = 6 ; women = 7
(i) How many groups of seven can be chosen that contain four women and three men?
(7C4) * (6C3)
Using calculator :
7C4 = 35
6C3 = 20
(35 * 20) = 700
(ii) How many groups of seven can be chosen that contain at least one man?
13C7 - 7C7
7C7 = only women
13C7 = 1716
7C7 = 1
1716 - 1 = 1715
(iii) How many groups of seven can be chosen that contain at most three women?
(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)
Using calculator :
(15 * 35) + (6 * 21) + (1 * 7)
525 + 126 + 7
= 658
c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?
(First in second out) + (second in first out) + (both out)
13 - 2 = 11
11C6 + 11C6 + 11C7
Using calculator :
462 + 462 + 330
= 1254
d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?
Number of ways with both in the group = 11C5
Number of ways with both out of the group = 11C7
11C5 + 11C7
462 + 330
= 792
Answer:
1.1888 (8 goes on forever) seconds to travel from the satellite to Earth.
Step-by-step explanation:
It is traveling at 3 x 108 m/s and needs to travel 3.6 x 107 m. 3 x 108=324 and 3.6 x 107=385.2 so 324 m/s for 385.2 m. 385.2/325=1.1888.
We want to find
, for
.
Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:
.
Thus,
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Answer: A)
.
