Determine the appropriate rotation formulas to use so that the new equation contains no xy-term. $34 x^{2}-24 x y+41 y^{2}-25=0$

Find the time requested, to the nearest 0.1 year. The time it would take $6,000 to grow to$10,000 at 4.75% simple annual interest

Determine whether the statement is true or false. Use the following sets of numbers.

$N=$ set of natural numbers.

$Z=$ set of integers

$I=$ set of irrational numbers

$Q=$ set of rational numbers

$\mathbb{R}=$ set of real number

$$Z \subseteq \mathbb{P}$$

Work the given problem on independent events.

According to data from the U.S. Department of Transportation, Delta Airlines was on time approximately 87% of the time in 2012 . Use this information, and assume that the event that a given flight takes place on time is independent of the event that another flight is on time to answer the following questions

(a) Elisabeta Gueyara plans to visit her company's branch offices; her journey requires 3 separate flights on Delta Airlines. What is the probability that all of these flights will be on time?

(b) How reasonable do you believe it is to suppose the independence of being on time from flight to flight?

Convert the measurement 9 liters = $\underline{~~~~~~~~~~}$ milliliters.

Use a rotation matrix to rotate the vector

$$\left[\begin{array}{r} 4 \\ -1 \end{array}\right]$$

counterclockwise by the angle $\pi / 3.$

In the earlier exercise, you used the Correlation and Regression applet to create three scatterplots having a correlation of about r = 0. 7 between the horizontal variable x and the vertical variable y. Create three similar scatterplots again, and click the "Show least-squares line" box to display the regression lines. Correlation r = 0. 7 is considered reasonably strong in many areas of work. Because there is a reasonably strong correlation, we might use a regression line to predict y from x. In which of your three scatterplots does it make sense to use a straight line for prediction?

The previous two problems suggest that using LEDs is a good idea from a purely financial perspective unless you live in an area where power is relatively inexpensive, but there is another wrinkle. Suppose you have a residence with a lot of incandescent bulbs that are used on average 500 hours a year. The average bulb will be about halfway through its life, so it will have 500 hours remaining (and you can't tell which bulbs are older or newer). At what cost per kilowatt-hour does it make sense to replace your incandescent bulbs today?

The numbers in Set N are multiples of 5.

The numbers in Set P are multiples of 9.

Which number of the three possibilities could be a number of both Set N and Set P ?

A. 27

B. 25

C. 90

Find the rotation–dilation matrix within the given matrix.

$$\left[\begin{array}{rr} 3 & 1 \\ -5 & 1 \end{array}\right]$$

As previously discussed, it suggests that using CFLs is a good idea from a purely financial perspective unless you live in an area where power is relatively inexpensive, but there is another wrinkle. Suppose you have a residence with a lot of incandescent bulbs that are used on average 500 hours a year. The average bulb will be about halfway through its life, so it will have 500 hours remaining (and you can’t tell which bulbs are older or newer). At what cost per kilowatt-hour does it make sense to replace your incandescent bulbs today?

Solve each percent problem. What is 20% of 3?

Mayfield Corporation finished job no. 314 on June 1. On June 10, the company sold job no. 314 for $\$ 10,000$, cash. Total manufacturing costs allocated to this job at the time of the sale amounted to $\$ 6,500$.

a. Record the transfer of job no. 314 from Work in Process to Finished Goods on June 1.

______ calories is equal to the food Calorie.