Answer:
71
Step-by-step explanation:
This is an arithmetic sequence with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here d = 2 - (- 1) = 5 - 2 = 8 - 5 = 3 and a₁ = - 1, so
= - 1 + (24 × 3) = - 1 + 72 = 71
Answer:
A and C
Step-by-step explanation:
It can not be D, since that will mean that <em>the line is perfectly horizontal</em>, with 0 as its slope.
It can be C, since the <em>equation's slope is positive and has a negative y-intercept</em>, like the graph.
Changing around A gives us y = 2x - 3. That has a <em>positive slope and a negative y-intercept</em>, like the graph. So, A is a possibility.
Changing around B gives us y = ²/₃x + 3. This has a positive slope, <em>but also a positive y-intercept</em>, so B can not be the answer.
You must multiply 2.5 by 7 to get the answer which is 17.5 pounds
Answer:
Step-by-step explanation:
Let the base camp is point A and boats' locations after two hours are points B and C.
By connecting the three points together we get a triangle ABC with sides:
- AB = 50*2 = 100 km
- AC = 70*2 = 140 km
The angle between AB and AC is:
- 60 + 50 = 110 degrees (opposite directions from south)
We are looking for the distance BC, which can be found by using the law of cosines:
- BC² = AB² + AC² - 2AB*AC*cos ∠BAC
- BC² = 100² + 140² - 2*100*140*cos 110°
- BC² = 39176.56 (rounded)
- BC = √39176.56 = 197.93 km (rounded)
The distance between the boats is 197.93 km.
Answer:
15860
Step-by-step explanation:
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