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3 years ago

It took James 5h to paint an 8ft by 24ft wall. At this rate, how long would it take him to paint a 12ft by 36ft wall

1 answer:

3 0

8 * 24 feet = 192 sq feet per 5 hours

12* 36 = 432 square feet

432 is 2.25 times the area of 192 square feet

So, it takes 5 * 2.25 = 11.25 hours

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Find dy/dx for 4 - xy = y^3

storchak [24]

Answer:

$\frac{dy}{dx}=-\frac{y}{3y^2+x}$

Step-by-step explanation:

4-xy=y^3

dy/dx=?

$\frac{d(4-xy)}{dx}=\frac{d(y^3)}{dx}\\ \frac{d(4)}{dx}-\frac{d(xy)}{dx}=3y^{3-1}\frac{dy}{dx}\\ 0-(\frac{dx}{dx}y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(1y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -y-x\frac{dy}{dx}=3y^2\frac{dy}{dx}$

Solving for dy/dx: Addind x dy/dx both sides of the equation:

$-y-x\frac{dy}{dx}+x\frac{dy}{dx}=3y^2\frac{dy}{dx}+x\frac{dy}{dx} \\ -y=3y^2\frac{dy}{dx}+x\frac{dy}{dx}$

Common factor dy/dx on the right side of the equation:

$-y=(3y^2+x)\frac{dy}{dx}$

Dividing both sides of the equation by 3y^2+x:

$\frac{-y}{3y^2+x}=\frac{(3y^2+x)}{3y^2+x}\frac{dy}{dx}\\ -\frac{y}{3y^2+x}=\frac{dy}{dx}\\ \frac{dy}{dx}=-\frac{y}{3y^2+x}$

7 0

2 years ago

PLEASE HELP WILL MARK BRAINLIEST

daser333 [38]

Answer:

f(-4) = 5

Step-by-step explanation:

Explanation of

| 5, x < -3

f(x) | 2x² - 4, -3 ≤ x ≤ 4

| 1 - 6x , x > 4

When the x in f(x) is less than -3 than f(x) = 5

When the x in f(x) is greater than -3 but less than 4 then f(x) = 2x² - 4

When the x in f(x) is greater than 4 than f(x) = 1 - 6x

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Now that we know this lets look back at the question.

We want to find f(-4).

Looking at the piece wise function we see that f(-4) follow x < -3 as "x" or -4 is less than -3. When x is less than -3, f(x) = 5, hence f(-4) = 5

3 0

2 years ago

One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is f

irga5000 [103]

Answer:

21 feet

Step-by-step explanation:

To solve this question, we would be using the proportion

Shadow /Height

From the question:.

Manny's shadow = 414 feet

Manny's Height = 512 feet

Height of the tree = ? = x

Shadow of the tree = 17 feet

Hence:

414/512 = 17/ x

Cross Multiply

414 × x = 512 × 17

x = 512 × 17/414

x = 21.024154589 feet

x ≈ Approximately = 21 feet

The height of the tree = 21 feet

4 0

2 years ago

Help me its due today

Tanzania [10]

Answer:

$65.35

Step-by-step explanation:

First you have to divide 5.4% by 100
Take 5.4/100 and multiply it by 62
Take the number you get from step 2 and add it to 62! (:

4 0

3 years ago

Help me with this question please

stich3 [128]

Answer:

(-1,9)

Step-by-step explanation:

union contains both sets.

4 0

2 years ago