Using Participles in Sentences. Use the following participial phrases in original sentences. Make certain the phrase stands right in front or right after the noun it modifies. involved in the movie

First, use front-end rounding to estimate the answer and then subtract.

$$\begin{array}{r l} \textbf{Estimate} & \textbf{Problem}\\ & ~~~~5\\ & \underline{- ~1.9802} \\ \end{array}$$

Using Participles in Sentences. Use the following participial phrases in original sentences. Make certain the phrase stands right in front or right after the noun it modifies. assisted by a student

A concave lens has a focal length of $-39 \mathrm{~cm}$. Find the image distance and magnification that result when an object is placed $31 \mathrm{~cm}$ in front of the lens.

First, use front-end rounding to estimate the answer and then subtract.

$$\begin{array}{r r} \textbf{Estimate} & \textbf{Problem}\\ & 27.613\\ & \underline{- ~18.942} \\ \end{array}$$

Using Participles in Sentences. Use the following participial phrases in original sentences. Make certain the phrase stands right in front or right after the noun it modifies. driving cautiously

Make an order-of-magnitude estimate of the quantity. (You determine the order of magnitude of any quantity by writing it in scientific notation and rounding the coefficient in front of the power of ten to 1 if it is equal to or less than 3 or to 10 if it is greater than 3. Then write the answer as a power of ten without a coefficient in front. Also remember to express your answer in SI units.) -The mass of water needed to fill the passenger compartment of a midsize car.

First, use front-end rounding to estimate the answer and then subtract.

$$\begin{array}{r l} \textbf{Estimate} & \textbf{Problem}\\ & ~~~~27.8\\ & \underline{- ~13.582} \\ \end{array}$$

Using Different Sentence Openers. Rewrite each sentence to make it begin with a one-word modifier, a phrase, or a clause. A pot of geraniums sat on either side of the front steps.

Write a convincing argument that uses indirect reasoning.

Ice is forming on the sidewalk in front of Toni's house. Show that the temperature of the sidewalk surface must be $32^{\circ} \mathrm{F}$ or lower.

In each of the following sentences, underline the verb in parentheses that agrees with the subject.

Example: The front counter, in addition to the tables, ($\underline{is}$, are) in need of a good cleaning.

The short stories in this collection (is, are) mysteries.

Starting from the front door of a ranch house, you walk 60.0 m due east to a windmill, turn around, and then slowly walk 40.0 m west to a bench, where you sit and watch the sunrise. It takes you 28.0 s to walk from the house to the windmill and then 36.0 s to walk from the windmill to the bench. For the entire trip from the front door to the bench, what are your (a) average velocity and (b) average speed?

You use a rope of length $\ell$ to tie the front of a 1500-kg truck to the rear of a 1000-kg car and then use an identical rope of length $\ell$ to tie the front of the car to the rear of a 500-kg trailer. Each rope will break if its tension exceeds 2000 N. You attach a strong cable to the rear of the truck and use a winch to pull it with a force of magnitude F. (a) What is the acceleration of the three-vehicle system? (b) What is the maximum pulling force you can exert on the truck before a rope breaks? (c) If you now attach the cable to the front of the trailer and again pull the system, what is the maximum force with which you can pull it without snapping a rope?

When an object is placed a distance $d_0$ in front of a curved mirror, the resulting image has a magnification $m$. Find an expression for the focal length of the mirror, $f$, in terms of $d_{\mathrm{o}}$ and $m$.