Rewrite the following parametric equations in rectangular form.

x=e^3t and y = e^-t

a. y=3/x, x>0

b. x = 1/y^3, y>0

c. x = - y^3, y<0

d. y = 1/x^3, x>0

Consider a cylinder with a diameter of 14 centimeters and a height of h centimeters. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?

There are 12 peices of fruit in a bowl. Seven of the pieces are apples and two are peaches. What is the probability thaat a randomly selected piece of fruit will not be an apple or a peach? Justify your answer.

The square pyramid shown below has a base with sides of 121212 units. The vertical height of the pyramid is 151515 units.

The ratio of two numbers is 8/1 and the difference of the numbers is 280. What is the larger of the two numbers?

What is the smallest multiple 3 and 4 have in common

Write a variable expression that represents how much you will be paid if you work x hours at your selected rate. So, can you write an expression for Hourly rate: 35.00

Given the equation f (x) = 2x² + 4x - 1, what is axis of symmetry? a. 1 c. - 1 b. 2 d. 0

The basketball player is 15 feet away from the goal. The goal is 10 feet high. What is the distance between the player and the basket?

The vertices of a triangle are A (0, 2), B (-2,-5), and C (0,5). Find the new vertices. Use the rule (x, y) → (X + 3, y - 2) to translate each vertex. Enter each vertex as an ordered pair. The new vertices are A' , CH

It takes 2 1/2 teaspoons of powdered mix to make one cup of hot chocolate how many cups can you make with 45 teaspoons of mix?