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ANEK [815]
3 years ago
13

10 pennies are flipped and arranged in a row. How many arrangements of the heads and tails are possible?

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:

1000 possible arrangements

Step-by-step explanation:

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Solve the system of two linear inequalities graphically.
Sladkaya [172]

Answer:

See attachment

Step-by-step explanation:

Isolate y in the first inequality:

2x + 4y < -16\\4y < - 16 -2 x\\y < -4 -\frac{1}{2} x\\y < -\frac{x+8}{2} \\

Now, with both x and y inequalities found, graph it.

7 0
2 years ago
How do you find the middle term of a perfect square trinomial?
Lyrx [107]

Answer:

Take the square root of the constant (number w/o the variable) and then multiply that by 2.

Step-by-step explanation:

A perfect square trinomial is something like this: x^{2} +6x+9. If I have 6x, and I want to find the last term I would take half a six and then square it to get 9.

SO.... To get the middle term of a perfect square trinomial, you would need to do the reverse.. So...

1) Take the square root of the constant...

2) Multiply that by 2

4 0
3 years ago
Find the sum of the finite geometric series. 4 20 100 ... 312,500 the sum of the geometric series is .
AnnZ [28]
What is the 9th term of the geometric sequence 4, -20, 100, ... 
<span>First term, a = 4 </span>
<span>common ratio, r = –20 / 4 = –5 </span>
<span>..... ..... ..... ..... = 100 / –20 = –5 </span>
<span>9th term = 4 ( –5 ) ^ ( 9 - 1 ) </span>
<span>..... ...... = 4 ( –5 ) ^ 8 </span>
<span>..... ...... = 4 ( 390,625 ) </span>
<span>..... ...... = 1,562,500 </span>
5 0
3 years ago
Find the slope of the line tangent to the
g100num [7]
Ln(xy) - 2x =0

slope of the tangent line = derivative of the function

[ln(xy)]' = [2x]'

[1/(xy)] [y + xy'] = 2

y + xy' = 2(xy)

xy' = 2xy - y =y(2x-1)

y' = y(2x-1)/x

Now use x = -1 to find y and after to find y'

ln(xy) = 2x
x=-1
ln(-y) =-2

-y = e^-2

y = - e^-2

y' = [-e^-2][2(-1)-1]/(-1) = [e^-2](-2-1)= [e^-2](-3) = - 3e^-2

Answer: option 6. from the list
8 0
3 years ago
SungHee empties her piggy bank and finds that that she has 200 quarters 150 dimes and 300 pennies. How much money does she have
gayaneshka [121]
A quarter = 0.25......200 quarters = 200(0.25) = $ 50
a dime = 0.10...150 dimes = 150(0.10) = $ 15
a penny = 0.01....300 pennies = 300(0.01) = $ 3

for a total of : 50 + 15 + 3 = $ 68 
6 0
3 years ago
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