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3 years ago

Find the number of permutations of the first eight letters of the alphabet taking four letters at a time.

1 answer:

3 0

The number of permutations of 8 different things taken 4 at a time is given by:
$8C4=\frac{8!}{(8-4)!}=8\times7\times6\times5=1680$

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I'm stuck on this homework question. I forgot the formula to find the side. This is 9th grade geometry.

dexar [7]

Answer:

x = 2root(22)

see image.

Step-by-step explanation:

The triangle shown is one big triangle cut into two more smaller triangles: one medium-sized and one smaller.

ALL THREE TRIANGLES ARE SIMILAR BY AA.

Set the two smaller triangles up so you can see the corresponding sides. x is the short leg in one triangle and it is the long leg in the smallest triangle. Set up a proportion.

22/x = x/4

crossmultiply

x^2 = 22•4

x^2 = 88

square root both sides.

x = sqroot(88)

x = 2sqroot(22)

see image.

3 0

2 years ago

I WILL MARK BRAINLIEST

vagabundo [1.1K]

Answer:

$\frac{81}{m^7}$

Step-by-step explanation:

We have a certain expression and are asked to find its equivalent with the answers provided :

$(3m^{-4} )^3(3m^5)$

Remove the parenthesis around 3m^5 :

$(3m^{-4} )^3*3m^5$

Do the exponent rule for outside and inside exponent parenthesis :

$(3m^{-4*3} )$

$3^3m^{-12} *3m^5$

Apply addition exponent rule :

$m^{-12} *3^{3+1} m^5$

Add :

$m^{-12} *3^4m^5$

Apply the addition rule for -12 + 5 :

$3^{4} m^{-7}$

Apply negative exponent rule for m^-7 :

$3^4*\frac{1}{m^7}$

Multiply the fractions :

$\frac{1*3^4}{m^7}$

$\frac{81}{m^7}$

3 0

3 years ago

To the person who makes a graph and doesn't copy from another question

allochka39001 [22]

Answer:

H=9;8)

B=(5;4) (ball)

R=(7;0) (hit point)

B'=symetric of B axis perpendicular of x in R

B'=(7+(7-5);4)=(9;4)

Equation BR: y-4=(0-4)/(7-5)(x-5)==>y=-2x+14

Equation RB': y-4=(4-0)/(9-7)(x-9)==>y=2x-14

Is H a point of RB'? y=2x-14 : 8=? 2*9-14==>8=?4 No!

you will not make your putt

Step-by-step explanation:

7 0

3 years ago

3 people have 2 bananas to share how much banana does each person get

BARSIC [14]

Answer:

1.5 bananas.

Step-by-step explanation:

1.5 x 2 = 3

8 0

3 years ago

Read 2 more answers

Peter is planting a rectangular garden. The length is 15 yards longer than the width. Jorge is planting a square garden. The sid

const2013 [10]

If the width of peter's garden is 32 yards, the ratio of the areas is 47: 32

<h3>Area of a rectangle.</h3>

area of rectangle = lw

where

l = length
w = width

Therefore,

Peter rectangular garden

l = 15 + x

Jorge is planting a square garden. The sides of Jorge's garden are equal to the width of Peter's garden.

Therefore,

x = side of Jorge garden

The ratios are as follows;

(15 + x)x : x²

Therefore, if the width of peter's garden is 32 yards, the ratio of the areas is as follows:

(15 + 32)32 : 32²

1504: 1024

752: 512

376: 256

94:64

47: 32

learn more on rectangle here: brainly.com/question/23881202

#SPJ1

7 0

2 years ago