Factor the polynomial.

$$361 x^2-121$$

Is the statement true or false? Give an explanation for your answer. If $y = Ab^x$ and increasing x by 1 increases y by a factor of 3, then increasing x by 2 increases y by a factor of 9.

Determine the simple interest. Unless noted otherwise, assume the rate is an annual rate. Assume 360 days in a year. Round answers to the nearest cent. p=$1372.11, r=1 3/8% per month, t=6months

Let V be the set of complex numbers and let F be the field of real number. With the usual operations, V is a vector space over F. Describe explicitly an isomorphism of this space onto $R^2$.

Factor the polynomial: $g^2$ - 100

(a) If the KE of an arrow is doubled, by what factor has its speed increased? (b) If its speed is doubled, by what factor does its KE increase?

What causes microclimates to form?

Determine factor of the polynomial.

$$x^3+8$$

Use a calculator to approximate the given trigonometric function to six significant digits.

$$\sin \left(-257^{\circ}\right)$$

Which pattern would you use to factor $16 a^2-48 a b+36 b^2$? Discuss how you know and then factor the trinomial.

Factor. $\\$$9 x^2-30 x+25$

Let A be an m × n matrix with m > n. Let b ∈ ℝᵐ and suppose that N(A) = {0}. How many solutions will the system Ax = b have if b is not in the column space of A? How many solutions will there be if b is in the column space of A? Explain.

Factor the expression.

$$8 x^3-27$$

Two slits are separated by $0.30 \mathrm{~mm}$ and produce an interference pattern. The fifth minimum is $1.28 \times 10^{-1} \mathrm{~m}$ from the central maximum. The wavelength of the light used is $4.5 \times 10^{-7} \mathrm{~m}$. Determine the distance at which the screen is placed.