How much force would you need to cause a 20-kilogram object to accelerate in a straight line to 20 m/s^2?

a. Write 0.080 as a fraction. b. Write 37 1/2% as a decimal. c. Write 1/11 as a decimal with a bar over the repetend.

Simplify: 6 2/3 · 5 1/4 · 2 1/10

_ are molecules composed of long chains of smaller, repeating molecules.

Use the properties of logarithms to expand

$$ln(x^2-16/x^4),$$

where x > 4.

Fid the period of the function and use the language of transformations to describe how the graph of the function is related to the graph of y=cos x.

$$y= cos 3x$$

Find the domain of the function and express it in interval notation.

$$f(x)=\dfrac{1}{\sqrt{1-x^2}}$$

The demand equation for a smart phone is p = 5000(1 - 4/ 4 + e^-0.002x). Find the demand x for a price of p = $169

Let A be an $n \times n$ matrix, and suppose A has n real eigenvalues, $\lambda_{1}, \ldots, \lambda_{n}$, repeated according to multiplicities, so that $\operatorname{det}(A-\lambda I)=\left(\lambda_{1}-\lambda\right)\left(\lambda_{2}-\lambda\right) \cdots\left(\lambda_{n}-\lambda\right)$. Explain why det A is the product of the n eigenvalues of A. (This result is true for any square matrix when complex eigenvalues are considered.)

Solve the equation by using the LCD. Check for extraneous solutions. 6x/x+4 + 4 = 2x+2/x-1

Find the value of the expression. 9 - 4 - 17.

Solve the given problem by writing and solving an equation: A school store has 1200 pencils in stock, and sells an average of 24 pencils per day. The manager reorders when the number of pencils in stock is 500. In how many days will the manager have to reorder?

Sixty-three million, one hundred thousand is how much greater than seven million, sixty thousand? Write the answer in scientific notation.

Make an order-of-magnitude estimate of the quantity. -The width of the smallest object that can be located using sound in the range of human hearing.