Ask question

Ask question

All categories

3 years ago

9

The harbor at Green Top Lake has a lot of green algae at the end of the summer. However, as the weather gets colder, the algae b

egins to die. At the beginning of the fall, the harbor has 150,000 square feet of algae. Half of the algae dies per month.

1 answer:

Bumek [7]3 years ago

3 0

Answer:

Step-by-step explanation:

5)))

You might be interested in

David's chocolate bar is 37% cocoa. If the weight of the chocolate bar is 51 grams, how many grams of cocoa does it contain? Rou

OverLord2011 [107]

Answer:

18.9

Step-by-step explanation:

You need to find 37% of 51

In other words: 37% x 51

3 0

2 years ago

To prove "p is equal to q" using an indirect proof, what would your starting assumption be?

chubhunter [2.5K]

Assssdsssssssssssssss

7 0

3 years ago

If Denise and Alex add a 15% tip after the tax is applied, what is the total cost, including tip?

Murljashka [212]

What’s the cost before the tip? We need to know that before calculating the cost with the tip.

4 0

3 years ago

Find the equation of the tangent line to the curve (a lemniscate)

olya-2409 [2.1K]

Answer:

$m=\frac{9}{13}$ and $b=\frac{40}{13}$

Step-by-step explanation:

The equation of curve is

$2(x^2+y^2)^2=25(x^2-y^2)$

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

$2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})$

$4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})$

The point of tangency is (-3,1). It means the slope of tangent is $\frac{dy}{dx}_{(-3,1)}$ .

Substitute x=-3 and y=1 in the above equation.

$4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})$

$40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})$

$-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}$

$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

$130\frac{dy}{dx}=90$

Divide both sides by 130.

$\frac{dy}{dx}=\frac{9}{13}$

If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

$y-y_1=m(x-x_1)$

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

$y-1=\frac{9}{13}(x-(-3))$

$y-1=\frac{9}{13}(x)+\frac{27}{13}$

Add 1 on both sides.

$y=\frac{9}{13}(x)+\frac{27}{13}+1$

$y=\frac{9}{13}(x)+\frac{40}{13}$

Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

5 0

2 years ago

Yeah i have no clue how to do this and there's two of them soo help is very much appreciated lol

cluponka [151]

Answer:

2^x - 4 is the answer here

5 0

2 years ago