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tresset_1 [31]
3 years ago
15

G how many distinct ordered arrangements of the letters of the word boogaboo can be made?

Mathematics
1 answer:
REY [17]3 years ago
3 0
In the word "boogaboo", there are eight (8) letters while there are only four distinct letters. The number of distinct ordered arrangements can be calculated through the equation,

            n = 8!/(2!)(4!)

where there are 2 letter b's and 4 letter o's. The answer to this item is 840.

Answer: 840
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Question 1 options:
Whitepunk [10]

Answer:

\frac{-1+/-3\sqrt{2} }{2}  where a = 1, b = 1,and c=-4

Step-by-step explanation:

To solve, use the quadratic formula. Using the quadratic formula, requires the standard form ax^2+bx+c Here a = 1, b = 1, and c = -4.

The quadratic formula is x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}.

Substitute and you'll have:

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-1+/-\sqrt{1^2-4(1)(-4)} }{2(1)}=\frac{-1+/-\sqrt{1+17} }{2)}

\frac{-1+/-\sqrt{18} }{2}=\frac{-1+/-3\sqrt{2} }{2}

6 0
4 years ago
A researcher surveyed 67 business majors
Naily [24]

Answer:

Whats the question then?

Step-by-step explanation:

4 0
2 years ago
The height, h, in feet of a gold ball above the ground after being hit into the air is given by the equation. H=-16t2+64t, where
stiv31 [10]

Answer:

4 seconds

Step-by-step explanation:

Given : H = -16t^{2} +64t

To Find: How many seconds does it take for the golf ball to hit the ground?

Solution :

Since we are given an equation : H = -16t^{2} +64t

Where H denotes height

t denotes the number of seconds elapsed since the ball was hit.

When he golf ball to hit the ground at that time the height becomes 0

So, put H = 0 in the equation

H = - 16t^{2} +64t

0 = - 16t^{2} +64t

16t^{2} = 64t

16t = 64

t =\frac{64}{16}

t =4

Thus it take 4 seconds for the golf ball to hit the ground

4 0
3 years ago
Which expressions can be used to find m∠ABC? Check all that apply.
valina [46]

Answer:

\cos^{-1}(\frac{6.3}{9.8})

\sin^{-1}(\frac{7.5}{9.8})

Step-by-step explanation:

Recall the mnemonics SOH-CAH-TOA

The sine ratio is the length of the opposite side expressed over the hypotenuse.

\sin m\angle ABC=\frac{7.5}{9.8}

Take the sine inverse of both sides to get;

m\angle ABC=\sin^{-1}(\frac{7.5}{9.8})

The cosine ratio is the length of the adjacent side expressed over the hypotenuse.

\cos m\angle ABC=\frac{6.3}{9.8}

Take the cosine inverse of both sides to get;

m\angle ABC=\cos^{-1}(\frac{6.3}{9.8})

4 0
4 years ago
What are the leading coefficient and degree of the polynomial? <br> 20-w^9+2w^3+12w
Ilya [14]

I assume you want the leading coefficient because there is only 1.


The leading coefficient is always in front of the term with the greatest exponent.


Leading coefficient = -1.


The degree of this function is 9. It is a ninth degree polynomial function. Why 9? It is a 9th degree polynomial because 9 is the greatest power.


6 0
4 years ago
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