Once you have finished drafting your comparison-and-contrast essay, answer the following questions. The words you choose make a difference in your writing. Which transitional words and phrases did you choose to clarify comparisons? Which did you choose to clarify contrasts?

An annuity earning 0.25% per month, compounded monthly, is to make 36 monthly payments of $1000 each, starting now. What is the present value of this annuity?

Circle the correct number to complete the sentence. $3^{-4}$ is equal to $\left(-81, \frac{1}{81}\right)$.

Use integration by substitution and the Fundamental Theorem to evaluate the definite integrals. $\int_{-1}^{e-2} \frac{1}{t+2} d t$

Why do we study the reversed Carnot cycle even though it is not a realistic model for refrigeration cycles?

Working individually, read each of these sentences from Yousafzai's speech at the United Nations. Mark the adverbial clause in each sentence, identify the subordinating conjunction, and describe the clause's function in the sentence. Discuss your answers with your group. Dear fellows, today I am focusing on women's rights and girls' education because they are suffering the most.

Graph the curve C traced out by each vector function. $\mathbf{r}(t)=3 \cos t \mathbf{i}+3 \sin t \mathbf{j}+\sin (2 t) \mathbf{k} \quad 0 \leq t \leq 2 \pi$

Copy and simplify the following expressions by combining like terms. Using or drawing sketches of algebra tiles may be helpful. a. $2 x+3 x+3+4 x^{2}+10+x$ b. $4 x+4 y^{2}+y^{2}+9+10+x+3 x$ c. $2 x^{2}+30+3 x^{2}+4 x^{2}+14+x$ d. $20+5 x y+4 y^{2}+10+y^{2}+x y$

Write a multiplication expression with a product of $5^{13}$.

AN JILL) Ul UOTE | @ Justify Conclusions take a conjecture about the sum of th interior angles of a quadrilateral. Justify your reasoning.

Chapter 5 Trianales and the Pythagorean Theorem NN ne eaainmmmans ahah ahaa). ana anand, ibee pean ns sheithantmeaamenmatenaeitldita tina taam

A Carnot heat pump is used to heat and maintain a residential building at $75^{\circ} \mathrm{F}.$ An energy analysis of the house reveals that it loses heat at a rate of 2500 Btu/h per $^\circ F$ temperature difference between the indoors and the outdoors. For an outdoor temperature of $35^\circ F,$ determine (a) the coefficient of performance and (b) the required power input to the heat pump.

Evaluate the expression. Express the result in scientific notation.

$$\left(3.6 \times 10^{3}\right)+\left(5.7 \times 10^{5}\right)=$$

A 3-in-diameter horizontal jet of water, with velocity 140 ft/s, strikes a bent plate, which deflects the water by $135^{\circ}$ from its original direction. How much force is required to hold the plate against the water stream and what is its direction? Disregard frictional and gravitational effects.

A simple Brayton cycle using air as the working fluid has a pressure ratio of 10. The minimum and maximum temperatures in the cycle are 295 and 1240 K. Assuming an isentropic efficiency of 83 percent for the compressor and 87 percent for the turbine, determine (a ) the air temperature at the turbine exit, (b ) the net work output, and (c) the thermal efficiency.