Answer:
First one
Step-by-step explanation:
Answer:
6.0 miles
Step-by-step explanation:
The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...
S7 = a1·(r^7 -1)/(r -1)
56.923 = a1·(1.1^7 -1)/(1.1 -1)
5.6923 = a1·0.9487171
Dividing by the coefficient of a1 gives its value:
5.6923/0.9487171 ≈ 5.999997 ≈ 6.000
The hiker traveled 6.0 miles on the first day.
Answer:
The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Step-by-step explanation:
Let x is the cost/price of one balcony seat, in dollars.
Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.
The total cost of tickets is
250x + 400*(x+6) = 8250.
Simplify it step by step.
250x + 400x + 2400 = 8250,
650x = 8250 - 2400 = 5850 ====> x = 5850/650 = 9.
Answer. The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Check. 9*250 + 15*400 = 8250. Correct.
Answer:
y = -2x - 8
Step-by-step explanation:
We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.
We already know that the slope is -2, so that means m = -2.
We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.
Thus, our equation is: y = -2x - 8.
<em>~ an aesthetics lover</em>
Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
