1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nezavi [6.7K]
4 years ago
9

Just need some help with the second answer thanks :)

Mathematics
1 answer:
vazorg [7]4 years ago
5 0

Answer:

4,151,347,200

Step-by-step explanation:

To find how many ways the train can be made up we use the permutation formula and the values given.

n = 16

k = 9

_{n}P_{k}=\dfrac{n!}{(n-k)!}

_{16}P_{9}=\dfrac{16!}{(16-9)!}

_{16}P_{9}=\dfrac{16!}{7!}

_{16}P_{9}=4,151,347,200

So there will be 4,151,347,200 different ways that the train can be made.

You might be interested in
この問題を最も簡単に解決する. 不適切な回答はありません.
Dafna1 [17]

japones ^^

look you have to multiply

8 cm x 6cm

20cm x 6 cm

and the answer that comes out of the multiplication is the correct one

4 0
3 years ago
The integer between 42 and 140
Montano1993 [528]
It has 97 amounts.
43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60
61,62,63,64,65,66,67,68,69,70 71,72,73,74,75,76,77,78,79,80
81,82,83,84,85,86,87,88,89,90
91,92,93,94,95,96,97,98,99,100
101,102,103,104,105,106,107,108,109,110
111,112,113,114,115,116,117,118,119,120
121,122,123,124,125,126,127,128,129,
130
131,132,133,134,135,136,137,138,139


Numbers between 42-140
6 0
3 years ago
A group of college students built a self-guided rover and tested it on a plane surface. They programmed the vehicle to move alon
makkiz [27]

Answer:

B. 40 meters

Step-by-step explanation:

— Estimating

The rectangle enclosing the path has sides of length 9 m and 14 m, so its perimeter is 2(9+14) = 46 m. The distance covered will be shorter than that.

The distance from A to C is longer than the distance from D to C, so we know the distance will be longer than 2·14+9 = 37 m.

Only one answer choice fits in the range 37 < d < 46.

____

— Detailed calculation

The distance from B to C is the hypotenuse of a right triangle with sides 9 and 12. You will recognize that these side lengths are 3 times the side lengths of a 3-4-5 right triangle, so the hypotenuse distance is 3·5 = 15 meters.

The circuit length is ...

AB +BC +CD +DA = 2 + 15 + 14 + 9 = 40 . . . . meters

4 0
3 years ago
A telephone company offers a monthly cellular phone plan for $ 39.99 It includes 300 anytime minutes plus $ 0.25 per minute for
Nataly [62]
A. 39.99 
b. 39.99 + 0.25(35) = 48.74
c. 39.99 + 0.25(1) = 40.24
3 0
4 years ago
A share of ABC stock was worth $70 in 2011 and only
Bezzdna [24]

Answer:

5v + 32y = 350

Step-by-step explanation:

Let, the year counting starts in 2011 and represented by y.

So, the share of ABC stock value was $70 at y = 0. And in the year 2016 i.e. y = (2016 - 2011) = 5, the share worth $38.

If there is a linear relationship between the number of years since 2011 i.e. y and the value of the share of ABC stock i.e. v, then we can write the equation of this situation as

\frac{v - 70}{70 - 38} = \frac{y - 0}{0 - 5}

⇒ 5v - 350 = - 32y

⇒ 5v + 32y = 350 (Answer)

6 0
3 years ago
Other questions:
  • Round .0196 to thousandths
    11·1 answer
  • If f(x) = x - 5, then match each of the following.
    13·1 answer
  • Guys please help me out on this question.....I would really appreciate it!
    10·2 answers
  • How many times will 3 go into 1,710 ?
    7·1 answer
  • .09 is10 times as many as
    6·1 answer
  • Can someone help me plz
    9·1 answer
  • Help with number 9 please please thank you
    8·1 answer
  • Triangle S and Triangle L are scaled copies of one
    10·1 answer
  • A regular hexagon is rotated in a counterclockwise direction about its center. Determine and state the minimum number of degrees
    13·1 answer
  • A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more th
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!