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pishuonlain [190]

3 years ago

14

Suppose a certain forest fire doubles in size every 12 hours. If the initial size of the fire was 1 acre, how many acres will th

e fire cover in 2 days?

1 answer:

sineoko [7]3 years ago

8 0

The forest fire will be 4 acres

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Find the slope of the line passing through the points (8,-4) and (-7, -4).

Tju [1.3M]

Answer:

Step-by-step explanation:

slope=m=(Y2-Y1)/(X2-X1)

As given values

take, (X1,Y1)=(-7,-4)

(X2-Y2)=(8,8)

hence X1=-7 , Y1= -4 , X2=8 , Y2= 8

putt the values in the above equation of slope we get ,

m=(8-(-4))/(8-(-7)

m=12/15 Ans

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1 year ago

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2 years ago

Find the general indefinite integral. (use c for the constant of integration. )

Vlada [557]

The indefinite integral will be $\int (7x^2+8x-2)dx=\dfrac{7x^3}{3}+4x^2-2x+C)$

<h3 /><h3>what is indefinite integral?</h3>

When we integrate any function without the limits then it will be an indefinite integral.

General Formulas and Concepts:

Integration Rule [Reverse Power Rule]:

$\int x^ndx=\dfrac{x^{n+1}}{n+1}}+C$

Integration Property [Multiplied Constant]:

$\int cf(x)dx=c\int f(x)dx$

Integration Property [Addition/Subtraction]:

$\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx$

[Integral] Rewrite [Integration Property - Addition/Subtraction]:

$\int (7x^2+8x-2)dx=\int 7x^2dx+\int 8xdx -\int 2dx$

[Integrals] Rewrite [Integration Property - Multiplied Constant]:

$\int (7x^2+8x-2)dx=7 \int x^2dx+ 8 \int xdx -2\int dx$

[Integrals] Reverse Power Rule:

$\int (7x^2+8x-2)dx= 7(\dfrac{x^3}{3})+8(\dfrac{x^2}{2})-2x+C$

Simplify:

$\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

So the indefinite integral will be $\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

To know more about indefinite integral follow

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1 year ago

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The correct answer is 5x+8y>50

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3 years ago

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