Simon has $1 \frac{1}{4}$ cups of margarine. He needs $\frac{1}{2}$ cup for a cake and another $\frac{1}{3}$ cup for the icing. How much margarine will he have left?

In the given Fig., a small block is sent through point $A$ with a speed of $5.0 \mathrm{~m} / \mathrm{s}$. Its path is without friction until it reaches the section of length $L=12 \mathrm{~m}$, where the coefficient of kinetic friction is $0.66$. The indicated heights are $h_{1}=6.0 \mathrm{~m}$ and $h_{2}=2.0 \mathrm{~m}$. What are the speeds of the block at (a) point $B$ and (b) point $C$ ? (c) Does the block reach point $D^{\prime}$ ? If so, what is its speed there; if not, how far through the section of triction does it travel?

Find the probability of each event for one roll of a number cube. 2, given that it is less than or equal to 5

A number cube is rolled once, and the number on the top face is recorded. Find the probability of each event. even or odd

Write the equation of a circle whose center and radius are given below.

Center (8, 9) and radius r = 10

A sheet of gold leaf is approximately

$$1.25 × 10^{-5}$$

centimeter thick. Use the formula V = lwh to find the volume in cubic meters of a sheet of gold that is 2 meters wide and 5 meters long.

What sort of evidence can you use to show that all living things grow and develop?

What do Indians call the "Sepoy Mutiny"? Why might the British and the Indian have different names for this event?

Write an equation of a circle with the given center and radius. Check your answers. center (0, 1), radius 2

Find the center-radius form of the equation of each circle. See the examples in this section.

center $(0,0)$, radius $6$

Find the center-radius form for each circle satisfying the given conditions.

Center $(-1,2)$; passing through $(2,6)$

The perimeter of a square is 12 meters. What is the length of a side of the square?

A real estate company wants to build a parking lot along the side of one of its buildings using 800 feet of fence. If the side along the building needs no fence, what are the dimensions of the largest possible parking lot?

Esmeralda needs $5,000 for a trip to Peru when she graduates from college in 4 years. How much must she invest now at an annual interest rate of 5% compounded continuously to achieve her goal?