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3 years ago

15

There are 16 ounces in 1 pound Chanda picked 9 pounds of cherries from her tree this year find the number of ounces of cherries

1 answer:

natka813 [3]3 years ago

4 0

Answer:

16 x 9 = 144 144 is the answer.

Step-by-step explanation:

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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

3 years ago

a professor must randomly select 4 students to participate in a mock debate. There are 20 students in his class. In how many dif

Feliz [49]

If the order doesn't matter the it's
$C(20,4)=\dfrac{20!}{4!16!}=\dfrac{17\cdot18\cdot19\cdot20}{2\cdot3\cdot4}=4845$

6 0

3 years ago

Read 2 more answers

Helpp me plssssss????

snow_tiger [21]

Answer:

C

Step-by-step explanation:

The radius is 4 making the diameter 16 you need the other side since in half so that leaves you with answer C...16 $\pi yd^2$

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2 years ago

Nemos aquarium is filled with 2400 cm³ of water the base of the aquarium is 20 cm long and 12 cm wide what is the height of the

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8 0

3 years ago

A square has an area of 36 cm. how long is one of its sides?

Leokris [45]

The correct answer would be 6.

To figure this out, you take the square root of 36 since area of a square is side x side.

8 0

3 years ago