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dezoksy [38]
3 years ago
5

Study the products shown. Is there a pattern?

Mathematics
2 answers:
Komok [63]3 years ago
8 0
C is the square of half of b.

This is evident in all products,

(6/2)² = 3²
= 9
(8/2)² = 4²
= 16
(10/2)² = 5²
= 25
(12/2)² = 6²
= 36
(b/2)² = c
GenaCL600 [577]3 years ago
5 0

Answer:

The correct option is 3. c is the square of half of b.

Step-by-step explanation:

The given equations are

(x+3)^2=x^2+6x+9

(x+4)^2=x^2+8x+16

(x+5)^2=x^2+10x+25

(x+6)^2=x^2+12x+36

These are the perfect square. According to this pattern,

(x+y)^2=x^2+2xy+y^2           .... (1)

Each product is in the form

(x+y)^2=ax^2+bx+c         .... (2)

From (1) and (2), we get

b=2y

c=y^2

c=(\frac{b}{2})^2                    [\because b=2y]

It means c is the square of half of b.

Therefore the correct option is 3.

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25 POINTS: In 1960, 21.5% of U.S. households did not have a telephone. This statistic decreased by 75.8% between 1960 and 1990.
dem82 [27]

Answer: 94.8 % (approx)

Step-by-step explanation:

Let the total household in the U.S is x,

⇒ The total household who did not have a telephone in 1960 = 21.5 % of x

= 0.215 x

According to the question,

The total household who do not have a telephone in 1990 = 75.8 % less than the household in 1960 who did not have the cell phone,

= (100-75.8)% of 0.215x

= 24.2 % of 0.215x

= 0.05203x,

⇒ The household in 1990 who had a telephone = x - 0.05203x = 0.94797x

Hence, the percentage of household who has a telephone in 1990

= \frac{0.94797x}{x}\times 100

= 94.797\%\approx 94.8\%

⇒ Around 94.8% household had telephone in the US in 1990.

7 0
4 years ago
An item is regularly priced at $80 . Sam bought it at a discount of 60% off the regular price. How much did Sam pay?
Nikitich [7]
Sam paid $32 for the item.
6 0
3 years ago
HELP PLEASE!!!! Im not good with math PLEASE HELP ASAP!!!
Setler79 [48]

Answer:

164

Step-by-step explanation:

3 0
3 years ago
Un cultivo de bacterias se duplica cada hora. Si inicialmente, hay 1 bacteria, determina el numero de bacterias que se obtienen
guapka [62]

Answer:

Hour 3

4 * 2 = 8

Hour 4

8 * 2 = 16

Hour 6

32 * 2 = 64

Hour 7

64 * 2 = 128

Hour 12

2048 * 2 = 4096

Step-by-step explanation:

We are told that initially there is a bacterium that doubles every hour, so let's calculate what happens in the first 12 hours every hour.

Hour 0

one

Hour 1

1 * 2 = 2

Hour 2

2 * 2 = 4

Hour 3

4 * 2 = 8

Hour 4

8 * 2 = 16

Hour 5

16 * 2 = 32

Hour 6

32 * 2 = 64

Hour 7

64 * 2 = 128

Hour 8

128 * 2 = 256

Hour 9

256 * 2 = 512

Hour 10

512 * 2 = 1024

Hour 11

1024 * 2 = 2048

Hour 12

2048 * 2 = 4096

We can deduce that the growth of the bacteria is:

2 ^ n

where n is the # of time that has passed

6 0
4 years ago
What is d=rt for t for scientific formula?
asambeis [7]
I'm not quite sure what this question means, but d = rt is a formula used to calculate the distance. the variables here are d for distance, r for rate, and t for time. if you need to solve it for t:

d = rt ... divide both sides by the rate (r)
(d/r) = t ... is your result
5 0
4 years ago
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