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Digiron [165]
2 years ago
7

How many words of five letters can be created that start with the letter T, contain 2 other consonats and end with 2 vowels? Not

e that a word is any combination of 5 letters but letters cannot be repeated.
Mathematics
1 answer:
Jet001 [13]2 years ago
8 0

If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are

\dbinom52=\dfrac{5!}{2!(5-2)!}=10

ways of picking the vowels, and

\dbinom{20}2=\dfrac{20!}{2!(20-2)!}=190

ways of picking the consonants.

We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is

4!\dbinom52\dbinom{20}2=\boxed{45,600}

Keep in mind that this means words like TRIES and TIRES are treated as different.

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Need help ASAP !!!<br><br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B18%20%5Ctimes%2018%20%5Ctimes%204%7D%20" id="TexFor
VashaNatasha [74]

Answer:

36

Step-by-step explanation:

The first step to solving this equation is multiplying. Multiply the numbers on the inside of the square root.

18 × 18 × 4 = 1296

Now, you are going to find the square root of 1296.

\sqrt{1296} = 36

You now have your final answer.

I hope this makes sense and is easy to understand. Please let me know if you need any more help. Have a great day! :]

3 0
3 years ago
Read 2 more answers
F(x) = 2x^2 − 3x − 5 Part
riadik2000 [5.3K]

Answer:  Answer  is in the steps..

Step-by-step explanation:

f(x)= 2x^{2} - 3x -5        

A) To find the x intercepts of a parabola we have to set the whole equation equal zero because the x intercept is when y equal zero in other words where f(x) equal zero.

 2x^{2}  - 3x - 5 = 0     Now solve using quadratic formula.

  x = -b±\frac{\sqrt{b^2 -4ac } }{2a}    

  x = 3 ± \sqrt{9+40} /2a  

   x = 3 ± \sqrt{49}  / 2a

   x= 3 ± 7 /4

   x= -1   or x = 5/2  

The x intercepts are  (5/2,0)  and (-1,0)

   

B)  The graph vertex of the graph of f(x)  is going to be at a minimum because the leading coefficient of the function has a positive integer which means the parabola will open up and its vertex will be at the minimum point.

 Using the  x coordinates  we could find their average and find the x coordinate of the   vertex.

\frac{5}{2} + -\frac{1}{1}  =  \frac{3}{2} / \frac{2}{1} = 3/4  

The x coordinate of the vertex  is 3/4 so we will input that into the equation and solve for the y coordinate  

2(\frac{3}{4})^2 - 3 (\frac{3}{4}) - 5   = 18/16 - 9/4 -5  =  -49/8

The y coordinate of the vertex  is  -49/8

So the vertex is (3/4, -49/8)  

C)   First  I will graph the vertex and then graph he two x intercepts and connect then like a U shape.

5 0
3 years ago
A line passes through the point, (−8,7) and has a slope of −5/4. Please help...
o-na [289]

Answer:

5x + 4y + 12 = 0

Step-by-step explanation:

Start with the point-slope equation of a straight line:  y - k = m(x -  h):

Here we are given the point (h, k):  (-8, 7) and the slope m = -5/4.  Inserting this info into the equation give above, we get:        y - 7 = (-5/4)(x + 8).

We must put this equation into "standard form" Ax + By + C = 0.

Multiply all three terms by 4 to remove fractions:  4y - 28 = -5(x + 8), or

4y - 28 + 5x + 40 = 0

Rearranging these terms, we get 5x + 4y + 12 = 0, which is the desired equation in standard form.

8 0
3 years ago
Plz help have to make this into a mixed number fraction
dmitriy555 [2]
Oh this is easy lol
number 1 is:

2 and 2/3

number 3 is:

2 and 3/5

number 5 is:

3 and 1/6

number 7 is:

3 and 7/8
4 0
2 years ago
9 A rectanglar ground is 22m long and 13m broad. Find its perimeter and lenghth of wire to fonce it around 3 times.​
Reptile [31]

Answer:

<h2>70m ; 210m</h2>

Step-by-step explanation:

<h3><u>Given</u>:</h3>

Length = 22m

Breadth = 13m

<h3><u>To Find:</u></h3>

Perimeter of the ground = ?

<h3><u>Solution:</u></h3>

1st answer-

Perimeter = 2(l + b)

= 2(22 + 13)

= 70m

2nd answer-

Length of wire needed to fence around the ground = 70m * 3

= 210m

PLS mark as brainliest!!

8 0
2 years ago
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