Determine the distance between the two points of the given pair. (6,0),(-6,5)

Plot and connect the midpoints of the legs. Determine the distance between the two midpoints.

Decide whether each of the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

My share of the federal government's debt is greater than the cost of a new car.

For the definite integral: $\int_0^4 \frac{1}{\sqrt{x^2+9}} d x$

a. Evaluate it using the table of integrals on the inside back cover. (Leave answers in exact form.)

b. Use a graphing calculator to verify your answer to part (a).

Emily is entering a bicycle race for a charity. Her mother pledges $0.40 for every 0.25 mile she bikes. If Emily bikes 15 miles, how much will her mother donate?

Two flasks of equal volume and at the same temperature contain different gases. One flask contains 10.0 g of Ne and the other flask contains 10.0 g of He. Which of the following statements are correct? Explain.

a. Both flasks contain the same number of atoms.

b. The pressures in the flasks are the same.

c. The flask that contains helium has a higher pressure than the flask that contains neon.

d. The densities of the gases are the same.

Complete below sentence with the form of the verb indicated in parentheses.
Miners, who __________ with the possibility of catastrophe all their lives, watched in horror as water began pouring into the mine. (present perfect of live)

Now you will focus on measuring just the top of your desk. This flat space is called your "work area" for a reason. To determine how much space you have on the top of your desk, you will measure its area. a. Get units from your teacher that can be used to measure area. Cover your desktop with these units so that there no gaps or overlaps. You may need to estimate or use partial units. b. Count the number of units you need to cover the area of your desk. Be prepared to share your answer with the class.

Organizers of a televised fundraiser know from past experience that most people donate small amounts ($10-$25), some donate larger amounts ($50-$100), and a few people make very generous donations of $250,$500, or more. Historically, pledges average about $32 with a standard deviation of$54. What assumption did you make in answering this question?

Find the distance between the two points. $(1,-2),(4,-5)$

A typical set if stairs is angled at $38 ^ { \circ }$. You climb a set of stairs at a speed of 3.5 m/s. a. How much height will you gain in 2.0 s? b. How much horizontal distance will you cover in 2.0 s?

Use mathematical induction (with the above definition) to prove that $(\mathrm{n} \cdot a)(\mathrm{m} \cdot b)=(\mathrm{nm}) \cdot a b$ is true for all positive integers n and all elements $a, b \in A$.

Practice recognizing and applying the identities that you have learned so far by rewriting each of the following trigonometric expressions below in one step. a. $2 \sin (3 x) \cos (3 x)$ b. $\cos ^{2}\left(40^{\circ}\right)+\sin ^{2}\left(40^{\circ}\right)$ c. $\cos ^{2}\left(40^{\circ}\right)-\sin ^{2}\left(40^{\circ}\right)$ d. $1-2 \sin ^{2}(y-5)$ e. $\sin \left(30^{\circ}\right) \cos \left(40^{\circ}\right)+\cos \left(30^{\circ}\right) \sin \left(40^{\circ}\right)$ f. $2 \cos ^{2}(2 w)-1$

In a population of 200,000 people, 40,000 are infected with a virus. After a person becomes infected and then recovers , the person is immune (cannot become infected again). Of the people who are infected, 5% will die each year and the others will recover. Of the people who have never been infected, 25% will become infected each year. How many people will be infected in 4 years?