Equations, Expressions, and Inequalities Q&A: Get Expert Help and Learn from Real-World Examples

The median player salary for New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation giving the median salary y in terms of the year x. Then use the equation to predict the median salary 2020.

Let $v(t)=t^2-<!--\; -\; -->2t$ be the velocity, in feet per second, of an object at time t, in seconds.
a What is the initial velocity initial velocity?
Initial velocity=?
b) When does the object have a velocity of zero? If there Is more than one time, list all answers in a comma separated list.
$t=?$
c) What is the meaning of the quantity v(4)? Select all that apply if more than one statement is correct.
A. This is how much the object has moved in 4 seconds.
B. This is the object's velocity in 4 hours
C. In this number of hours the velocity will be 4 t/sec.
D. This is the object's velocity in 4 seconds.
E. This is the average velocty of the object over the 4 second interval.
F. In this number of seconds the object will have moved 4 ft.
G. None of the above.

Determine: $\frac{|3-<!--\; -\; -->2x|}{x^2+5}\le <!--\; \le \; -->0$

Solve
u + v + w = 2
u +2v + 3w = 1
v + 2w = -1
Ans: u = 4, v = -3, w = 1
Show how these answers are found

A forensic scientist uses the expression 80.405 +3.66-.06(A-30) to estimate the height in centimeters for a male with a radius (bone in the forearm) of length r centimeters and a age A in years, where A is over 30. simplify the expression. Use the expression to estimate the the height of an 80 year old male with a radius of the length 25 centimeters.

Saori Yamachi invested some money in an account earning 7.4% simple interest and twice that amount in an account earning 9% simple interest. She earned $1016 in interest after 1 year. How much did Saori invest in each account?

(a^2b)/a^3)*(a^4b^2)/b^3)
What the answer? Show your work

$$\begin{gathered} \text{ Let P be a point in the plane and C a circle with centre O and radius r.} \\ \text{ Then we define the power of P with respect to C as} \\ \text{ power of P with respect to }C=O{P}^2-<!--\; -\; -->r^2 \\ \text{ (a) Determine the sign of the power of P with respect to C when} \\ \text{ (i) P lies inside }C; \\ \text{ (ii) P lies on }C; \\ \text{ (iii) P lies outside }C. \\ \text{ In parts (b) and (c) we regard distances as directed distances; that is, distances along a line in one direction have a positive sign associated with their length and distances in the opposite direction have a negative sign associated with their length.} \\ \text{ (b) If P lies inside C and a line through P meets C at two distinct points A and B. prove that} \\ \text{ power of P with respect to }C=PAPB. \\ \text{ (c) If P lies outside C, a line through P meets C at two distinct points A and B, and PT is one of the tangents from P to C. prove that} \\ \text{ power of P with respect to C = PA PB = PT.} \\ \text{ (d) If C has equation}{x}^2+y^2+fx+gy+h=0\text{ and P has coordinates (x, y). find the power of P with respect to C in terms of x, y,f. g and h.} \end{gathered}$$

x=(3/4)x+9

Compute the value of |-6-6i}.
A. 6+ 6i
B 6sqrt2
C 12i
D 6

$x^2-<!--\; -\; -->2x+5=0$

Use the fact that the sum of the 3 angles in a triangle is ${180}^{\circ <!--\; \circ \; -->}$ to answer this question.
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is ${15}^{\circ <!--\; \circ \; -->}$ more than that of the smallest angle. Find the measure of the each of the angles.
The SMALLEST angle has a measure of ?
The MIDDLE angle has a measure of ?
The LARGEST angle has a measure of ?

If an object moves around a circle of radius r at constant speed v, it has an acceleration towards the center of the circle, of magnitude:
$a=\frac{v^2}{r}$
Describe the proportionality of a to v. (what kind of mathematical relationship, explain)
Describw the type of proportionality of a to r. (what kind of mathematical relationship, explain)

Given the following set of numbers, find the average and sample standard deviation in excel. Important Once you have completed your calculation, report your numbers in a separate cell and obey the rounding requirement from last pre-lab:
$\begin{array}{|c|}\hline \text{Data}\\ 1\\ 1.25\\ 1.33\\ 1.5\\ 1.552\\ 1.347\\ 1.9\\ 1.1\\ 1.67\\ 1.32\\ 1\\ 1.5\\ \hline\end{array}$

Round 0.1754 to the nearest:
Whole Number:
Tenth:
Hundredth:
Thousandth:

Find the standard form of the equation with endpoints of a diameter at points (1,4) and (-5,8)

a) In 5 years, twice a puppy's current age will be equal to or greater than 15. What is the least integer that satisfies the inequality $2x+5\ge <!--\; \ge \; -->15?$
b) To the nearest square meter, what is the area of the figure below?

c) The Philippine Trench in the Pacific Ocean is 10.05 kilometers deep. The Brazil Basin in the Atlantic Ocean is 6.12 kilimeters deep. To the nearest hundredth of a kilometer, how many kilometers deeper than the Brazil Basin is the Philippine Trench?
d) A supermarket is having a sale on canned foods. The sale includes 12 cans of soup for $\mathrm{\$<!--\; \$\; -->}10.65$ . What is the unit price per can of soup to the nearest cent?

Formulate but do not solve the following exercise as a linear programming problem.
A financier plans to invest up to $600,000 in two projects. Project A yields a return of 10% on the investment of x dollars, whereas Project B yields a return of 14% on the investment of y dollars. Because the investment in Project B is riskier than the investment in Project A, the financier has decided that the investment in Project B should not exceed 40% of the total investment. How much should she invest in each project to maximize the return on her investment P in dollars, and what amount is available for investment?

1. $(6.9\cdot <!--\; \cdot \; -->{10}^5)(7.1\cdot <!--\; \cdot \; -->{10}^6)$ show calculations
2. $(6\cdot <!--\; \cdot \; -->{10}^5)(7\cdot <!--\; \cdot \; -->{10}^6)$
3. $1/({10}^7)$

Larry has twenty-five nickels and quarters with a total valueof $3.05. How many of each coin does he have?