Fill in the blank below with the word from the Word Bank that best completes the analogy. CLIMB : STAIRS :: _____ : bridge

In a hand of bridge, find the probability that you have 5 spades and your partner has the remaining 8.

The Estry Bridge Their first idea is to have customers enter Mystic Mountain w walking across a rope bridge suspended over an indoor river that will be 40 inches wide. Tanya worked out the function $h=0.02 x^2-0.8 x+15$ to bribe the arc of the bridge. In her rule, $x$ gives the horizontal distance from becatry point toward the other side of the river, and $h$ gives the height of the page above the water, both measured in feet.

a. dutch a graph of this function for $0 \leq x \leq 40$, On the sketch, show the coordinates of the starting and ending points and the point where the bridge surface is closest to the water.

b. Show how coordinates for those key points on the graph can be calculated exactly from the rule, not simply estimated by tracing the graph or scanning stable.

c. Write and estimate solutions for an equation that will locate point(s) on the bridge surface that is 10 feet above the water.

The Golden Gate Bridge in San Francisco, California, was under construction from 1933 to 1937. Suppose a construction worker dropped a tool from a point on the bridge that is 220 feet above the water. Determine an equation that gives the height (in feet) of the tool above the water as a function of time (in seconds).

Create a graph with the given properties. There are many possible answers for each problem. Seven vertices and one bridge

A truck carrying chickens is too heavy for a bridge that it needs to cross. The empty truck is within the weight limits; with the chickens it is overweight. It is suggested that if one could get the chickens to fly around the truck (i.e., by banging on the truck side) it would be safe to cross the bridge. Do you agree? Explain.

Find the minimum slope angle for which the skier in earlier exercise can safely traverse the snow bridge.

Would a voltaic cell work equally well if a copper wire were used in place of a salt bridge? Explain.

Calculate the probability mass function of the number of spades in a random bridge hand that includes exactly four hearts.

A tomato is thrown upward from a bridge $25$ m above the ground at $40$ m/sec.

(c ) How long is it in the air?

Two mischievous children drop water balloons from a bridge as depicted in the given figure. Each water balloon is approximately $30 \mathrm{~cm}$ in diameter, and in this figure the red balloon is about $1.8 \mathrm{~m}$ below the railing of the bridge. What is the time interval between when the first balloon was let go and the second balloon was dropped? Assume both balloons were let go just above the bridge railing. Take measurements directly from the figure and scale appropriately.

he weight restriction for a bridge is $7.0$ tons. How much weight can a $2.5$-ton truck transport?

Place a check next to each sentence in which the subject and verb agree. _____ Was the views spectacular from the bridge?

Which of the three phases of matter (solid, liquid, gas) would be the best to use to build a bridge? Explain.