Answer:
7,230,000,000 = 7.23 x 10 to the 9th power. 0.0000865 = 8.65 x 10 to the negative 5th power.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
This problem is analogous to the extraction of 6 elements from a total of 10 elements. It's the same if they are marbles, chips, or in this case, people, as here we don't care about the order of the selection as we only are drawing a sample.
Thus, the problem implies solving the amount of possible combinations of 10 people if we take by 6. There is a formula for this and is:
10 C 6 = 10!(6!4!)
If we operate, knowing that for any number x, x!=x*(x-1)*(x-2)*...*1
10 C 6 = 10!(6!4!) = 10*9*8*7*6*...*1 / [(6*5*...*1) * (4*3*2*1)]
10 C 6 = 10*9*8*7*6! / [(6*5*...*1) * (4*3*2*1)]
We have a 6! multiplying and another dividing, so they get eliminated, and as 4*2=8 and 9=3*3
10 C 6 = 10*9*8*7*/ [(4*3*2*1)] = 10*3*3*8*7*/ [(8*3*1)]
We can eliminate the 8s and one of the 3s on the numerator with the one on the denominator:
10 C 6 = 10*3*7*/1 = 210/1= 210
So, option C
Answer:
Graph A.
Step-by-step explanation:
Given the inequality: 
Since the sign is "less than or equal to", the line cannot be dotted. Therefore, Options C and D are incorrect.
Since the sign is a "less than" sign, the required region must be below the line. Therefore, the graph which shows the given inequality is Graph A.
Answer:
- m∠C = 43.6°, m∠B = 107.4°, b = 51.2
Step-by-step explanation:
<u>Use the law of sines:</u>
- a / sin ∠A = c / sin ∠C
- 26 / sin 29° = 37 / sin ∠C
- sin ∠C = 37 sin 29° / 26
- sin ∠C = 0.6899
- m∠C = arcsin 0.6899
- m∠C = 43.6°
<u>Find the missing angle:</u>
- m∠B = 180° - 29° - 43.6° = 107.4° (rounded)
<u>Use the law of sines to find the length of b:</u>
- a / sin ∠A = b / sin ∠B
- 26 / sin 29° = b / sin 107.4°
- b = 26 sin 107.4° / sin 29°
- b = 51.2 units (rounded)
Answer:
y - 6 = -7(x + 8)
Step-by-step explanation:
Slope: m = (y2-y1)/(x2-x1) = (6 - -1)/(-8 - -7) = (6 + 1)/(-8 + 7) = 7/-1 = -7
Point-slope form: y - 6 = -7(x - -8)
=> y - 6 = -7(x + 8)
