Numerade

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Umar Sohail Qureshi

Numerade educator

Standing 2.5 m in front of a smalll vertical mirror you see the reflection of your belt buckle, which is 0.70 $\mathrm{m}$ below your eyes. If you remain 2.5 $\mathrm{m}$ from the mirror but climb onto a stool, how high must the stool be to allow you to see your knees in the mirror? Assume that your knees are 1.2 $\mathrm{m}$ below your eyes.

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Briana De La Torre

Numerade educator

Which of the following best describes the logic of scientific inquiry? a. If I generate a testable hypothesis, tests and observations will support it. b. If my prediction is correct, it will lead to a testable hypothesis. c. If my observations are accurate, they will support my hypothesis. d. If my hypothesis is correct, I can expect certain test results.

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Darshan Maheshwari

Numerade educator

A grocery bag can withstand 300 N of force before it rips apart. How many kilograms of apples can it safely hold?

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Chandan Gupta

Numerade educator

Two ships are cruising together on the open ocean at 10 nautical miles per hour. One of them turns to make a $90^{\circ}$ angle with the first and increases speed, heading for port. Assuming the first ship continues traveling at 10 knots, use a special triangle to find the speed of the other ship if they are 20 mi apart after 1 hr.

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David Mccaslin

Numerade educator

How Far Can You See? The conning tower of the U.S.S. Silversides, a World War II submarine now permanently stationed in Muskegon, Michigan, is approximately 20 feet above sea level. How far can you see from the conning tower?

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Umar Sohail Qureshi

Numerade educator

(III) Design a dc transmission line that can transmit 925MW of electricity 185 km with only a 2.5% loss. The wires are to be made of aluminum and the voltage is 660 kV.

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David Mccaslin

Numerade educator

For thousands of years, gold has been considered one of Earth's most precious metals. One hundred percent pure gold is 24 -karat gold, which is too soft to be made into jewelry. In the United States, most gold jewelry is 14 -karat gold, approximately 58$\%$ gold. If 18 -karat gold is 75$\%$ gold and 12 -karat gold is 50$\%$ gold, how much of each should be used to make a 14 -karat gold bracelet weighing 300 grams?

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INSTANT ANSWER

In Exercises $17-20,$ show that $T$ is a linear transformation by finding a matrix that implements the mapping. Note that $x_{1}, x_{2}, \ldots$ are not vectors but are entries in vectors. $$ T\left(x_{1}, x_{2}, x_{3}, x_{4}\right)=\left(0, x_{1}+x_{2}, x_{2}+x_{3}, x_{3}+x_{4}\right) $$

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In Exercises $31-36,$ solve the equation in the specified interval. $$\csc x=2$ $0 < x <$ 2$\pi$$

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Christina Vaughan

Numerade educator

If we say that one quantity is directly proportional to another quantity, does this mean they are equal to each other? Explain briefly, using mass and weight as an example.

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alex t.