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vampirchik [111]
3 years ago
13

The volume of a cylinder is 375 pi m^3. if r= 5 m, find its height.

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

Step-by-step explanation:

V=h\pi r^2\\ \\ h=\frac{V}{\pi r^2}\\ \\ h={375\pi}{25\pi}\\ \\ h=15m

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DEF is a dilation image of ABC. What is the scale factor?
horsena [70]

Answer:

Option (2)

Step-by-step explanation:

ΔDEF is a dilation image of ΔABC.

Rule for the dilation,

Scale factor = \frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}

                    = \frac{DE}{AB}

                    = \frac{4}{8}

                    = \frac{1}{2}

Therefore, scale factor by which ΔABC is dilated is \frac{1}{2}.

Option (2) will be the correct option.

7 0
2 years ago
Can somebody please help me. I would really appreciate it
laila [671]
90=6x+3x
90=9x
90/9=x
10=x

3x=3*10=30
6x=6*10=60
hope this helped
4 0
3 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
2 years ago
given that<img src="https://tex.z-dn.net/?f=%5Csqrt%7B250%7D%20%3D5%5Csqrt%7B10%7D%20and%20%5Csqrt%7B490%7D%20%3D%207%5Csqrt%7B1
Oksanka [162]

Answer:

√250 - √490

= 5√10 - 7√10

= -2√10

3 0
3 years ago
Please help last question and u get 15 points
makvit [3.9K]

81.4% ≅ 81%. The probability that a customer ordered a hot drink given that he or she ordered a large is 81%.

The key to solve this problem is using the conditional probablity equation P(A|B) = P(A∩B)/P(B). Conditional probability is the probability of one event occurring with some relationship to one or more other events.

Similarly to the previous exercise, P(A∩B) is the probability that a customer order a large hot drink. So, P(A∩B) = 22/100 = 0.22

For P(B), is the probability that a customer order a large drink whether hot or cold. P(B) = 27/100 = 0.27

P(A|B) = 0.22/0.27 = 0.814

multiplying by 100%, we obtain 81.4%

8 0
3 years ago
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