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2 years ago

9. Suppose on a Saturday morning you can cut 3 lawns in 5 hours, and your friend can cut 5 lawns in 8

Mathematics

2 answers:

Ipatiy [6.2K]2 years ago

5 0

Answer:

I think that they are both cutting lawns at the same rate, pretty sure but i might be wrong, but im like 97% sure im right

Step-by-step explanation:

LuckyWell [14K]2 years ago

4 0

5 lawns in 8 hours is faster.

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If xy + 7ey = 7e, find the value of y'' at the point where x = 0.

Vesnalui [34]

Answer:

Please read my updated answer.

I am wasn't sure what you were asking so here and 2 answers.

1st answer $y=\frac{1}{e}$

2nd answer $\frac{dy}{dx}=-\frac{y}{x+7e}$

Step-by-step explanation:

$xy+7ey=7$

$when \\ x=0$

Substitute $0$ for $x$ then simplify.

$(0*y)+7ey=7\\ 0+7ey=7\\ 7ey=7$

Divide each term in $7ey=7$ by $7e$ and simplify.

$\frac{7ey}{7e}=\frac{7}{7e}$

Cancel the common factor of $7$ on the left side.

Rewrite the expression.

$\frac{ey}{e}=\frac{7}{7e}$

Cancel the common factor of $e$ on the left side.

$y=\frac{7}{7e}$

Cancel the common factor of 7 on the right side.

Rewrite the expression.

$y=\frac{1}{e}$

2nd Answer

Step-by-step explanation:

$xy+7ey=7$

Differentiate both sides of the equation.

$\frac{d}{dx} (xy+7ey)=\frac{d}{dx}(7e)$

Differentiate the left side of the equation.

By the Sum Rule, the derivative of $xy+7ey$ with respect to x is $\frac{d}{dx} [xy]+\frac{d}{dx}[7ey]$

Evaluate $\frac{d}{dx} [xy]$

Differentiate using the Product Rule

Rewrite $\frac{d}{dx} [xy]$ as $y'$ .

$xy'+y+\frac{d}{dx} [7ey]$

Evaluate $\frac{d}{dx} [7ey]$

Since $7e$ is constant with respect to $x$ , the derivative of $7e$ with respect to $x$ is $0$ .

Reform the equation by setting the left side equal to the right side.

$xy'+7ey'+y=0$

Solve for $y'$ .

Subtract $y$ from both sides of the equation.

$xy'+7ey'=-y$

Factor $y'$ out of $xy'$ .

$y'x+7ey'=-y$

Factor $y'$ out of $7ey'$ .

$y'(x)+y'(7e)=-y$

Factor out $y'$ out of $y'(x)+y'(7e)$

$y'(x+7e)=-y$

Divide each term in $y'(x+7e)=-y$ by $x+7e$ and simplify.

$\frac{y'(x+7e)}{x+7e} =\frac{-y}{x+7e}$

Cancel the common factor of $x+7e$ .

$y'=-\frac{-y}{x+7e}$

Replace $y'$ with $\frac{dy}{dx}=-\frac{y}{x+7e}$

$\frac{dy}{dx}=-\frac{y}{x+7e}$

6 0

1 year ago

The round base of a copper tea kettle has a diameter of 18 centimeters. What is the base's circumference?

iris [78.8K]

Answer:

Step-by-step explanation:

circumference = π×diameter = 18π cm

7 0

2 years ago

What is 0.5, 1/5, 0.35, 12/25, and 4/5 from least to greatest

Margaret [11]

Change each into decimal

0.5 = 0.5

1/5 = 0.2

0.35 = 0.35

12/25 = 0.48

4/5 = 0.80

Set in order from least to greatest.

0.2, 0.35, 0.48, 0.5, 0.80

1/5, 0.35, 12/25, 0.5, 4/5 is your order.

hope this helps

7 0

2 years ago

Read 2 more answers

Question 1 of 10<br>Which of the following functions is graphed below?

Sedaia [141]

Attach picture, where is below

3 0

2 years ago

Twice a number decreased by 22 is 48. What is the number?

klemol [59]

Answer:

Given - Twice a no. decrease by 22 is 48

To find - The no.

Solution -

Let the no. be X

According to the question, equation made is -

2x - 22 = 48

2x = 48 + 22

2x = 70

x = 70/2

X= 35

Verification -

35 ×2 - 22 = 48

70 - 22 = 48

48= 48

LHS = RHS

hence proved

6 0

2 years ago

Read 2 more answers