An element has two naturally occurring isotopes. The isotope has a mass of 62.9396 amu and a relative abundance of 69.17 %, and isotope 2 has a mass of 64.9278 amu.

Find the atomic mass of this element.

Find the derivatives of the given functions.

$$y =\sqrt{x^2+1}-\ln \frac{1+\sqrt{x^2+1}}{x}$$

Calculate the derivatives of the functions. $f(x)=\left[(6.4 x-1)^{2}+(5.4 x-2)^{3}\right]^{2}$

Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

Can you stay late tonight to work on this project? no, not tonight. _________

The atomic mass of an element is defined as the weighted average mass of that element's (1) most abundant Isotope, (2) least abundant isotope, (3) naturally occurring isotopes, (4) radioactive Isotopes.

Expand.

$$( x - 11 ) ^ { 2 }$$

Evaluate the derivatives of the given functions at the given points.

$$3x^3 y^2 - 2y^3 = -4; (1, 2)$$

Prove that each identity holds for all permissible values of x.

$$\begin{array}{l}{\text { a) } 1+\cot ^{2} x=\csc ^{2} x} \\ {\text { b) } \tan x=\csc 2 x-\cot 2 x} \\ {\text { c) } \sec x+\tan x=\frac{\cos x}{1-\sin x}} \\ {\text { d) } \frac{1}{1+\cos x}+\frac{1}{1-\cos x}=2 \csc ^{2} x}\end{array}$$

The vertices of a triangle are A(2, 5), B(1, 2), and C(3, 1). Find the coordinates of the image after the transformations given. Reflect in the x-axis, and then rotate $90^{\circ}$ counterclockwise about the origin.

HCN के 7.83 g नमूने में H का 0.290 g और N का 4.06 g है। 3.37 g के द्रव्यमान वाले HCN के नमूने में कार्बन का द्रव्यमान ज्ञात कीजिए।

Find the sum. -41 + 26

Washington County’s Board of Representatives is considering the construction of a longer runway at the county airport. Currently, the airport can handle only private aircraft and small commuter jets. A new, long runway would enable the airport to handle the midsize jets used on many domestic flights. Data pertinent to the board’s decision appear below.

$$\begin{array}{lr} \text{Cost of acquiring additional land for runway } &\$\hspace{5pt} 70,000\\ \text{Cost of runway construction} &200,000\\ \text{Cost of extending perimeter fence} & 29,840\\ \text{Cost of runway lights} &39,600\\ \text{Annual cost of maintaining new runway} &28,000\\ \text{Annual incremental revenue from landing fees} &40,000\\ \end{array}$$

In addition to the preceding data, two other facts are relevant to the decision. First, a longer runway will require a new snowplow, which will cost $100,000. The old snowplow could be sold now for$10,000. The new, larger plow will cost $12,000 more in annual operating costs. Second, the County Board of Representatives believes that the proposed long runway, and the major jet service it will bring to the county, will increase economic activity in the community. The board projects that the increased economic activity will result in$64,000 per year in additional tax revenue for the county.

In analyzing the runway proposal, the board has decided to use a 10-year time horizon. The county’s hurdle rate for capital projects is 12 percent.

Required:

1. Prepare a net-present-value analysis of the proposed long runway.

2. Should the County Board of Representatives approve the runway?

3. Which of the data used in the analysis are likely to be most uncertain? Least uncertain? Why?

Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

Our Organization's bylaws state the following: "The Secretary of the Association will submit an agenda two weeks before each meeting." _________

Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

Regulations of the sarbanes-oxley act of 2002 resulted in costly expenses for our Company. _________