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2 years ago

If e^(xy) = 2, then what is dy/dx at the point (1, ln2)?

Mathematics

1 answer:

love history [14]2 years ago

3 0

E^(xy) = 2
(xdy/dx + y)e^(xy) = 0

At point (1, ln2), dy/dx + ln2 = 0
dy/dx = -ln2

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HELP, I NEED HALP ASAP <br> 180=x+(3x-8)

jok3333 [9.3K]

Answer:

x=47

Step-by-step explanation:

Let's solve your equation step-by-step.

180=x+3x−8

Step 1: Simplify both sides of the equation.

180=x+3x−8

180=x+3x+−8

180=(x+3x)+(−8)(Combine Like Terms)

180=4x+−8

180=4x−8

Step 2: Flip the equation.

4x−8=180

Step 3: Add 8 to both sides.

4x−8+8=180+8

4x=188

Step 4: Divide both sides by 4.

4x4=1884

x=47

3 0

2 years ago

A parking space is 20 feet long. A pickup truck is 6 yards long. How many inches longer is the parking space than the truck

masya89 [10]

1 yard = 3 feet.

Multiply the length of the truck by 3 to get total feet:

6 x 3 = 18 feet.

Subtract the length of the truck from the length of the parking space:

20 - 18 = 2 feet

1 foot = 12 inches.

Multiply 2 feet by 12:

2 x 12 = 24 inches longer.

7 0

3 years ago

The vertices of square RSTV have coordinates R(-1,5), S(-3,1), T(-7,3), and V(-5,7). What is the perimeter of RSTV?

kompoz [17]

The perimeter of square RSTV is: 17.88 units

Further explanation:

As the given figure is a square, all of its sides will be equal. So we have to find one side to find the perimeter.

Given

R(-1,5), S(-3,1), T(-7,3), and V(-5,7)

The distance formula will be used to find the side

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^@}$

Let x be one side of square

$RS=x=\sqrt{(-3-(-1))^2+(1-5)^2}\\=\sqrt{-3+1)^2+(-4)^2}\\=\sqrt(-2)^2+(-4)^2}\\=\sqrt{4+16}\\=\sqrt{20}\\=4.47$

Let P be the perimeter of square

P= 4x

P=4*4.47

=17.88 units

The perimeter of square RSTV is: 17.88 units

Keywords: Perimeter, Distance Formula

Learn more about perimeter at:

#LearnwithBrainly

6 0

2 years ago

20. Joshua sold a batch of tickets for carnival rides. The ratio of adult

nikitadnepr [17]

Step-by-step explanation:

a = original number of adult tickets

c = original number of child tickets

a/c = 2/5

a = 2c/5

(a+70)/(c+300) = 1/3

(2c/5 + 70)/(c + 300) = 1/3

2c/5 + 70 = (c + 300)/3

2c + 350 = 5(c + 300)/3

6c + 1050 = 5(c + 300) = 5c + 1500

c = 450

a = 2c/5 = 2×450/5 = 2×90 = 180

Joshua sold therefore in total

180 + 70 = 250 adult tickets.

and by the way

450 + 300 = 750 child tickets.

6 0

1 year ago

Simplify the expression by using a double-angle formula. 2 sin 31°cos 31°

qwelly [4]

The double angle formula for the sine is

$\sin(2x) = 2\sin(x)\cos(x)$

The right hand side is exactly your expression, where $x = 31^\circ$

So, rewriting the expression from right to left, we have

$2\sin(31^\circ)\cos(31^\circ) = \sin(2\cdot 31^\circ) = \sin(61^\circ)$

6 0

2 years ago