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never [62]
3 years ago
13

How many ways can you make a 3-letter arrangement out of the letters in the word TRAPEZOID? This is a (permutation or combinatio

n.) There are ways to make 3-letter arrangements.
Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

Permutation

504 ways

Step-by-step explanation:

The difference between combinations and permutations is ordering. With permutations we DO care about the order of the elements, whereas with combinations we don't.

In your graphing calculator, type

nPr(9,3)

(9 letters in trapezoid, 3 letter combos)

and it returns 504.

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Adrian has a points card for a movie theater.
ANEK [815]

Answer: v ≥ 6

This means that Adrian needs to do at least 6 visits.

Step-by-step explanation:

First, we know that he gets 20 points just for signing up, so he starts with 20 points.

Now, if he makes v visits, knowing that he gets 2.5 points per visit, he will have a total of:

20 + 2.5*v

points.

And he needs to get at least 35 points, then the total number of points must be such that:

points ≥ 35

and we know that:

points = 20 + 2.5*v

then we have the inequality:

20 + 2.5*v  ≥ 35

Now we can solve this for v, so we need to isolate v in one side of the equation:

2.5*v ≥ 35 - 20 = 15

2.5*v ≥ 15

v ≥ 15/2.5 = 6

v ≥ 6

So he needs to make at least 6 visits.

6 0
2 years ago
The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv
kari74 [83]
The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or 2^6 = 64 miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship x * 2^6 = k, for some constant k. 

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

\dfrac{x}{2^6} =  \dfrac{15x}{y^6}  \\ (x)(y^6)=(2^6)(15x)

Cancelling our x's (because we don't need to solve for them), we have

y^6 = 15(2^6) = 15(64)=960

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

\sqrt[6]{y^6} =  \sqrt[6]{960}

Using a calculator, we see that \sqrt[6]{960} = 3.14 \ miles \ per \ hour.
6 0
3 years ago
Which is the best estimate for the percent that is represented by the shaded portion of the diagram?
ivolga24 [154]
3 divided by 8 = 0.375
0.375 x 100 = 37.5%
37.5% is closest to 38%
7 0
3 years ago
Read 2 more answers
Which of the following gives all of the coefficients of the algebraic expression -2x2 + 17 -15x + 7xy?
Stels [109]
The answer is -15, -2,7
3 0
3 years ago
Read 2 more answers
Help please I need help :(
maks197457 [2]

A = 1 and 8

B = 2 and 4

C = 2 and 7

I’m pretty sure this is right? I’m still learning too :p

5 0
3 years ago
Read 2 more answers
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