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Leya [2.2K]
3 years ago
14

in a talent competition, half of the contestants are eliminated in each round. At the end of the nth round, 32 contestants remai

n. If there were 1,024 contestants at the start of the competition, what is the value of n?
Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0
 Here, first tern is 1024, common ratio = 1/2 and last term = 32

32 = 1024((1/2)^n
(1/2)^n = 32/1024 = 1/32
(1/2)^n = (1/2)^5

Therefore, n = 5
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Please help look at the picture
k0ka [10]

Answer:

y = - 5x - 1

Step-by-step explanation:

The first thing to do (always) is pay attention to x =0. That at least gives you a partial answer. y = y' - 1. when you put 0 in for whatever y' is you get 0. What about the other numbers? How did they come about.

We have another clue. Whenever you put in a positive number for x, you get a negative answer for y. That's interesting. So y' has a minus sign associated with it.

y = -ax - 1    Make a>0 so there is only 1 minus sign. x cannot have an even power, because an even power would make everything positive except the -1.  

So we'll start with y= - ax - 1 We'll also make the assumption that a = 1

y = - x - 1 That won't work. a >1 otherwise x = 2 won't give - 11

y = -ax - 1

let x = 2

let y = - 11 Solve for a

y = - ax - 1

- 11 = -a*-2 - 1       add   1  to both sides

-11 + 1 = - a(-2) - 1 + 1

- 10 = -2a             Divide by - 2

- 10/-2 = -2a/-2

a = 5

Answer: y = - 5x - 1

8 0
2 years ago
Please help especially with a!!
77julia77 [94]

Answer:

a) 25/324

b) 1/4

c) 1/3

Step-by-step explanation:

a) [⅓A + ⅓B]² = (⅓)²[A + B]²

= (1/9) [½ + ⅓]²

= (1/9)(⅚)²

= (1/9)(25/36)

= 25/324

b) ½ × ½ = ¼

c) (½ × ⅓) + (⅓ × ½) = 2 × ⅙ = ⅓

6 0
3 years ago
Scarly bought 3 pounds of cashews. Each pound of cashews cost $2.98. She paid with a $20 bill. How much change did Scarly get ba
pantera1 [17]

Answer:

Answer:

Part a) Mr. Paul bought 14 oz of cashews

Part b) Mr. Paul bought 12 oz of walnuts

Part c) Mr Paul bought 2 oz more of cashews than walnuts

Part d) Mr Paul bought 2 more ounces of nuts than Mrs Toombs

Step-by-step explanation:

Part a) How many ounces of cashews did Mr. Paul buy?

Remember that

To convert lb to oz multiply by 16

we know that

Mr. Paul bought 7/8 lb of cashews <em> I think hope this helps:)</em>

Step-by-step explanation:

7 0
2 years ago
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Which expression is equivalent to 24^1/3
kenny6666 [7]
Second is right answer
3 0
3 years ago
Read 2 more answers
May someone please help me with this :)
Luda [366]
So to find the answer you would use the formally 1/2bh
1/2(3.5)(1.5)
which give you 2.625
8 0
2 years ago
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