Answer:
2304
Step-by-step explanation:
<u>Given :- </u>
- A geometric sequence is given to us which is 9 , -18 , 36.
And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .
<u>Common Ratio :- </u>
CR = -18÷ 9 = -2
<u>The </u><u>9</u><u> th term :- </u>
T_n = arⁿ - ¹
T_9 = 9× (-2) ⁹ - ¹
T_9 = 9 × (-2)⁸
T_9 = 9 × 256
T_9 = 2304
<u>Hence the 10th term is </u><u>2</u><u>3</u><u>0</u><u>4</u><u>.</u>
Answer: there are 50 humans and 24 horses.
Step-by-step explanation:
Let x represent the number of humans in the horse racing area.
Let y represent the number of horses in the horse racing area.
He counted 74 heads. A human has one head and a horse also has one head. It means that
x + y = 74
He counted 196 legs. A human has 2 legs and a horse has 4 legs. It means that
2x + 4y = 196 - - - - - - - -- - -1
Substituting x = 74 - y into equation 1, it becomes
2(74 - y) + 4y = 196
148 - 2y + 4y = 196
- 2y + 4y = 196 - 148
2y = 48
y = 48/2 = 24
x = 74 - y = 74 - 24
x = 50
Answer:
14(26+53)
Step-by-step explanation:
14*26 + 14*53 can be rewritten as 14(26+53). The value of this expression is 14(79) = 1106.
The final elevation from sea level of the first climber is the difference of the elevation of the peak and the number of feet he descended to meet his fellow climber,
e = 14,090 ft - 490 ft
e = 13,600 ft
Thus, the answer is letter C. 13,600 ft.