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Burka [1]
3 years ago
8

If a number is increased by 4, its square is increased by 64. Find the number

Mathematics
2 answers:
Anit [1.1K]3 years ago
5 0

Answer:

12

Step-by-step explanation:

12 - 4 = 8

The square of 8 is 64

quester [9]3 years ago
3 0

Answer:

6

Step-by-step explanation:

(n + 4)^2 = n^2 + 64

n^2 + 8n + 16 = n^2 + 64

8n = 48

n = 6

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If the dimensions of the following cylinder are doubled, what factor will the surface area change by?
Vedmedyk [2.9K]

Answer:

probably 2 or 4

Step-by-step explanation:

7 0
3 years ago
Find the slope of the line that passes through (3, 6) and (8, 7)
Mnenie [13.5K]

Answer:

The slope of this line is <u>1/5</u>

Step-by-step explanation:

You can find the answer easily by graphing the problem. In doing so, you will find the slope (rise over run) to be one over five. This is because you rise one unit, and run five.

8 0
2 years ago
Number of Certified Organic Farms in the United States, 2001–2008
Vinil7 [7]

Answer:

ŷ = 739.49X + 4876.43

y = 6755.98 - 388.24x + 125.30x²

y = 5428.98(1.09)^x

B.)

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1

Step-by-step explanation:

X :

1

2

3

4

5

6

7

8

Y:

6231

6574

7237

7211

7701

8581

10302

11796

Using the online linear regression calculator :

The linear trend :

ŷ = 739.49X + 4876.43

Where x = year

With 2006 representing 1 ; and so on

Slope = m = 739.49

Intercept (c) = 4876.43

y = predicted variable

The quadratic model:

General form:

y = A + Bx + Cx²

y = 6755.98 - 388.24x + 125.30x²

The exponential model:

y = AB^x

y = 5428.98(1.09)^x

B.) Next three years :

Year 2009 ; x = 9

Year 2010 ; x = 10

Year 2011 ; x = 11

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1

6 0
3 years ago
What is the scale factor of dilation? <br>  1 over 2 <br> 1 over 3<br>  1 over 4 <br> 1 over 5
Dmitry_Shevchenko [17]
RP is 3 units long and its transformation R'P' is 1 unit long

R'P' = 1/3 * RP

so the scale factor is 1/3
7 0
3 years ago
Read 2 more answers
The mass of Earth is 5.97 x 1024 kilograms, and the mass of Venus is 4.87 x 1024 kilograms. What is the difference between the m
strojnjashka [21]

Answer:

1126.4

Step-by-step explanation:

5.97 x 1024 =6113.28

4.87 x 1024=  4986.88

6113.28-4986.88 =1126.4

6 0
3 years ago
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