Answer:
Step-by-step explanation
Use Pythagoras theorem. The distance between the cars, 8km, is the hypotenuse of a right angled triangle, one leg of which is 6km and the other of which is, say, x km
x = sqrt(8^2 - 6^2) km.
You can crunch the numbers.
Answer:
Step-by-step explanation:
3x-2y= 100
3x= 10 +2y
x =(10+2y)/
Part (i)
I'm going to use the notation T(n) instead of 
To find the first term, we plug in n = 1
T(n) = 2 - 3n
T(1) = 2 - 3(1)
T(1) = -1
The first term is -1
Repeat for n = 2 to find the second term
T(n) = 2 - 3n
T(2) = 2 - 3(2)
T(2) = -4
The second term is -4
<h3>Answers: -1, -4</h3>
==============================================
Part (ii)
Plug in T(n) = -61 and solve for n
T(n) = 2 - 3n
-61 = 2 - 3n
-61-2 = -3n
-63 = -3n
-3n = -63
n = -63/(-3)
n = 21
Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).
<h3>Answer: 21st term</h3>
===============================================
Part (iii)
We're given that T(n) = 2 - 3n
Let's compute T(2n). We do so by replacing every copy of n with 2n like so
T(n) = 2 - 3n
T(2n) = 2 - 3(2n)
T(2n) = 2 - 6n
Now subtract T(2n) from T(n)
T(n) - T(2n) = (2-3n) - (2-6n)
T(n) - T(2n) = 2-3n - 2+6n
T(n) - T(2n) = 3n
Then set this equal to 24 and solve for n
T(n) - T(2n) = 24
3n = 24
n = 24/3
n = 8
This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.
<h3>Answer: 8</h3>
The number of small chocolate-bars sold is 272.
<h3>What is a ratio? </h3>
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is another value. The sign used to represent ratios is :.
<h3>What is the number of small chocolate bars sold?</h3>
The number of packs small chocolate bars sold = (ratio of he number of small chocolate bars sold / sum of ratios) x number of chocolate bars sold
(5/7) x 95 = 67.8 = 68
The number of small chocolate bars sold = 68 x 4 = 272
To learn more about ratios, please check: brainly.com/question/25927869
<u>This</u><u> liberal arts college</u><u> has </u><u>all students</u><u> to study.</u>
<u />
The correct option is B.
What Is a Liberal Arts College?
- While many colleges and universities grant liberal arts degrees, a liberal arts college offers a focused liberal arts education.
- These colleges generally emphasize small class sizes and a curriculum centered on the humanities, arts, social sciences, and natural sciences.
What's the difference between a liberal arts college and a regular college?
- Most liberal arts colleges do not offer graduate school programs, unlike other universities.
- They also tend to have small campuses and class sizes; in fact, many classes have fewer than 20 students.
- Evans says some students find comfort in the sense of community that these more intimate settings can create.
Learn more about Liberal Arts College
brainly.com/question/17546886
#SPJ4