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3 years ago

Lia can paint 600 square feet in 2 and a half hours at this rate how many square feet can she paint in 1 hour

Mathematics

1 answer:

lyudmila [28]3 years ago

7 0

The answer would be that she can paint 240 square feet in one hour!

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Can choose multiple answers :))

Nady [450]

A.) f(x) = x^2 because 2 > 1. So f(2) = 4.

A is correct.

B.) f(x) = x^2 because 5 > 1. So f(5) = 25.

B is incorrect.

C.) f(x) = 2x because -2 < 1. So f(-2) = -4.

C is incorrect.

D.) f(x) = 5 because x = 1.

D is correct.

So the answer is A and D.

8 0

3 years ago

Find a potential function for F or determine that F is not conservative. (If F is not conservative, enter NOT CONSERVATIVE.) F =

xxMikexx [17]

For $F$ to be conservative, we need to have

$\dfrac{\partial f}{\partial x}=\cos z$

$\dfrac{\partial f}{\partial y}=10y$

$\dfrac{\partial f}{\partial z}=-x\sin z$

Integrate the first PDE with respect to $x$ :

$\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx+\int\cos z\,\mathrm dx\implies f(x,y,z)=x\cos z+g(y,z)$

Differentiate with respect to $y$ :

$\dfrac{\partial f}{\partial y}=10y=\dfrac{\partial g}{\partial y}\implies g(y,z)=5y^2+h(z)$

Now differentiate $f$ with respect to $z$ :

$\dfrac{\partial f}{\partial z}=-x\sin z=-x\sin z+\dfrac{\mathrm dh}{\mathrm dz}\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

So we have

$f(x,y,z)=x\cos z+5y^2+C$

so $F$ is indeed conservative.

8 0

3 years ago

Find the area of the parallelogram. (simplify your answer)

Sophie [7]

A = b . h
a = 13 . 7
a = 91 cm^2

3 0

2 years ago

Finding the inverse of the function x^3+3x+1 is beyond the scope of this course. Nevertheless, you should be able to use your kn

slega [8]

Step-by-step explanation:

${x}^{3} + 3x + 1 = 1 = = = > \\ {x}^{3} + 3x = 0 = = = > \\ x({x}^{2} + 3) = 0 \\ x = 0 \: or \\ {x}^{2} + 3 = 0 = = = > \\ {x}^{2} = - 3 = = = > x 1= \sqrt{ - 3} \: or \: i \sqrt{3} \\ x2 = - \sqrt{ - 3} = = = > x2 = - i \sqrt{3}$

${x}^{3} + 3x + 1 = 5 = = = > \\ {x}^{3} + 3x - 4 = = = > \\ (x - 1)( {x}^{2} + x + 4) = 0 = = = > \\ x - 1 = 0 = = > x1 = 1 \\ {x}^{2} + x + 4 = 0 = = = > \\ x2 = - 1 + i \sqrt{3} \\ x3 = - 1 - i \sqrt{3}$

${x}^{3} + 3x + 1 = 3 = = = > \\{ x}^{3} + 3x - 2 = 0 = = = > x = 0.6$

4 0

1 year ago

Using the Unit Rate to Solve a Problem

nikitadnepr [17]

Answer:

the answer is 16/3 gallons

Step-by-step explanation:

7 0

2 years ago