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Molodets [167]
3 years ago
8

Simplify the problem.

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

Option 4: 4¹¹

Step-by-step explanation:

Looking at the problem, I need to work out 4⁴ squared first, which is the same as 4⁸. Then multiply that by 4³ to get 4¹¹. What I did was simply add 3 + (4 * 2), which is 11.

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Two coins are flipped. Draw a sample space diagram showing all possible outcomes
arlik [135]
H = Heads, T = tails
1st Coin       2nd Coin      Final Outcome, ÷ 4 possible outcomes
                    H                     (H,H) 1/4, or 25%
H                  
                    T                     (H,T)  1/4, or 25%

                    H                     (T,H)  1/4, or 25%
T
                    T                     (T,T)   1/4, or 25%

If order does not matter:
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7 0
3 years ago
Line___is a transversal.
iVinArrow [24]

Answer:

C

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.
denis-greek [22]
\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b

which means there is some integer k for which a+b=9k.


Because 9\mid a and 9\mid b, there are integers n_1,n_2 such that a=9n_1 and b=9n_2, and


\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42

We have 42=2\cdot3\cdot7, which means there are four possible choices of n_1,n_2:

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for a,b:

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of a+b is 117.
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3 years ago
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3 years ago
The circumference of a circle is 36x feet. What is the length of the radius of this circle?
s2008m [1.1K]

Answer:

18h

Step-by-step explanation:

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