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photoshop1234 [79]
4 years ago
15

Which equation is not a linear function? OA) 2x - 3y = 9 OB) 2x+4y - 12 = 0 OC) y=-3x - 7 OD) 6x + 4y = 8​

Mathematics
2 answers:
scoray [572]4 years ago
7 0
69 is the correct answer
NeX [460]4 years ago
6 0
OA is not the right one
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B Is your answer

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The population of Collin County, which follows the exponential growth model,
Anestetic [448]

Answer:

(a) k=0.06217

(b) P=264036e^{0.06217t}

(c) 556,755 is the population in 2012

Step-by-step explanation:

Population increased from 264,036 in 1990 to 491,675 in 2000.

Let assume , year 1990 as t=0

When t=0, population P = 264,036

When t=10, population P = 491,675

Exponential growth equation is P=P_0e^(kt)

P_0 is the initial population when t=0

So P_0= 264,036

When t=10, population P = 491,675

Plug in all the values and find out k

491675 =  264036 e^{k*10}

Divide both sides by 264036

\frac{491675}{264036}=e^{k*10}

To remove 'e' we take ln on both sides

ln(\frac{491675}{264036})=lne^{10k}

ln(\frac{491675}{264036})=10kln(e)

The value of ln(e) = 1

ln(\frac{491675}{264036})=10k

Divide both sides by 10

k=0.06217

Exponential growth equation is P=P_0e^{kt}

We know  P_0= 264,036

Replace the value of k

P=264036e^{0.06217t}

Now , we find the population in 2012

For year 2012 , t= 12

So we plug on 12 for t  and solve for P

P=264036e^{0.06217*12}

P = 556755.09504

556,755 is the population in 2012



4 0
3 years ago
Find the volume of the following<br> square pyramid. Please help
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Answer:

Volume of square pyramid is 3466.6 cm³

Step-by-step explanation:

We are given:

Base edge of square pyramid = 20 cm

Height of square pyramid = 26 cm

We need to find Volume of square pyramid

The formula used is: Volume=\frac{1}{3}a^2h

Where a is base edge and h is height of pyramid

Putting values in formula to find the volume

Volume=\frac{1}{3}a^2h\\Volume=\frac{1}{3}(20)^2(26)\\Volume=\frac{1}{3}(400)(26)\\Volume=\frac{1}{3}(10400)\\Volume=3466.6 \ cm^3

So, Volume of square pyramid is 3466.6 cm³

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What is dimensional change in geometry?
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Answer:

When the dimensions of the shape, such as radius, height, or length, change, both surface area and volume also change. However, the volume of the object always changes MORE than the surface area for the same change in dimensions.

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