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zavuch27 [327]
3 years ago
9

You and your friends are planning to join a cycling tour of Europe. You want to know how much it will cost you and your friends

to get from London to Dover and then from Dover to Calais. Each person will need to spend the following: £45 on a train ticket from London to Dover. £15 on a ferry ticket from Dover to Calais. £5 for food during the trip.
Mathematics
1 answer:
Nana76 [90]3 years ago
3 0
How many friends are tgere?
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For the function given below, find a formula for the Riemann sum obtained by dividing the interval (0, 3) into n equal subinterv
Viktor [21]

Splitting up [0, 3] into n equally-spaced subintervals of length \Delta x=\frac{3-0}n = \frac3n gives the partition

\left[0, \dfrac3n\right] \cup \left[\dfrac3n, \dfrac6n\right] \cup \left[\dfrac6n, \dfrac9n\right] \cup \cdots \cup \left[\dfrac{3(n-1)}n, 3\right]

where the right endpoint of the i-th subinterval is given by the sequence

r_i = \dfrac{3i}n

for i\in\{1,2,3,\ldots,n\}.

Then the definite integral is given by the infinite Riemann sum

\displaystyle \int_0^3 2x^2 \, dx = \lim_{n\to\infty} \sum_{i=1}^n 2{r_i}^2 \Delta x \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac6n \sum_{i=1}^n \left(\frac{3i}n\right)^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3} \sum_{i=1}^n i^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3}\cdot\frac{n(n+1)(2n+1)}6 = \boxed{18}

8 0
2 years ago
Suppose you are constructing a scale model solar system using a scale ratio of 1 to 10 billion. In your scale model what will be
Shkiper50 [21]

Answer:

Step-by-step explanation:

First convert km to meters

143000 km = 143,000,000m = 1.43*10^8 m

Now convert 10 billion to scientific notation1  00

10 billion = 1 * 10^10

What this means is that 1 * 10^10 meters in outer space = 1 meter for the scale model.

Now show what the ratio is for

1.43*10^8

========          Divide by the denominator

1 * 10^10

1.43 * 10^(8 - 10)

1.43 * 10 ^ - 2               meters

Answer: 0.0143m or B

6 0
2 years ago
Gloria has a package of gummy worms. There are four flavors of gummy worms in the package- cherry, grape, lemon, and orange,
Oliga [24]

Answer:1

Step-by-step explanation:it is right

3 0
3 years ago
Find the Value of 2a2+5b2
Valentin [98]

Answer:

I get 92 but not really sire

3 0
3 years ago
Please help!! :D<br><br> Find the value of x.
viva [34]

Answer:

{ \tt{ \frac{x}{46}  =  \frac{(39 + 39)}{39} }} \\ x =  \frac{46 \times (39 + 39)}{39}  \\ x = 92

6 0
3 years ago
Read 2 more answers
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