How do scientists study objects in space that are at vast distances from Earth?

Identify the parts of the experiment described in the table below.

$$\begin{matrix} \text{Experiment: A biologist gives a new kind of food to a group of dogs and compares the weight gain of these dogs over time to a group of similar dogs that do not receive the new food.} & \text{Both } & \text{Pseudoscience}\\ \text{Experimental group:}\\ \text{Control group:}\\ \text{Independent variable:}\\ \text{Dependent variable:}\\ \end{matrix}$$

Solve the given systems of equations by determinants. Evaluate by expansion by minors.

$$\begin{array}{l} 2p+3r+s=4 \\ p-2r-3s+4t=-1 \\ 3p+r+s-5t=3 \\ -p+2r+s+3t=2 \end{array}$$

Find the inverse of each function. f(x) = √(2x - 3)

Simplify each expression. $-(x^2y^2)^2$

When 0.84 g of ZnCl2 is dissolved in 245 mL of 0.150 M NaCN, what are [Zn2+], [Zn(CN)42-], and [CN-] [Kf of Zn(CN)42- = 4.2$\times$1019]?

Fill in the blanks. The domain of y = cot x is all real numbers such that ________.

evaluate the sine, cosine, and tangent of the angle without using a calculator. π/3

Sketch the graph of each equation. a. $y = |x + 2|$ b. $(x + 2)^2 + y^2 = 25$ c. $(y - 3) = \log x$ d. $y = \dfrac{1}{x} + 3$

What tension in globalization is the cartoonist in source 5 attempting to capture? What kind of change over time has the cartoonist identified?

Find each product or quotient. Use significant digits. $132.5\text{ cm}\cdot43.2\text{ cm}$

Find the volume under the surface $z=x^{2}+y^{2}$ and above the square region bounded by $|x| \leq 1$ and $|y| \leq 1$.

Classify the function defined as even, odd, or neither.

$$\text { a. } f_{5}(x)=|x| \quad \text { b. } f_{6}(x)=\left|x+x^{3}\right|$$

Let V be a vector space with subspaces U and W. Prove that

$$U \cap W$$

is a subspace of V.