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Exam 1: Numerical Computation

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Question 61

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Evaluate the expression: $-|4+1|-|-4+1|$ .

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Question 62

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Convert units for the following time rates. (a) 45.5 miles per hour to kilometres per hour (b) 0.25 miles per hour to knots (c) 7.5 metres per hour to feet per minute

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Question 63

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The Earth has a mass of $5980000000000000000000000 \mathrm{~kg}$ . Write this mass in scientific notation.

Convert the following areas and volumes. (a) 16 square centimetres to square feet (b) 0.750 square metres to square inches (c) 62.5 cubic metres to cubic yards (d) 221 cubic feet to imperial gallons

How many more metres will a car travel in $12 \mathrm{~min}$ at a speed of $50 \mathrm{~km} / \mathrm{h}$ than it will at a speed of $40 \mathrm{~km} / \mathrm{h}$ ?

Combine these approximate numbers and round appropriately: $-60.6-(-1.21)$

How much ethanol is in $3.50 \mathrm{~L}$ of a solution that is $27.0 \%$ ethanol by volume?

A family has set a goal to reduce their power consumption by $25 \%$ . If they used $1357.214 \mathrm{kWh}$ last month and $1067.078 \mathrm{kWh}$ this month, did they reach their goal?

Perform each computation, keeping the proper number of digits in your answer. (a) $\frac{\sqrt{39}+56.1}{49.5}$ (b) $(2.1)^{3}-(3.9)^{5}$ (c) $\frac{14^{2}}{9.0^{2}+5.0}$

Divide, and then round your answer to the proper number of digits: $-629.5 \div-89.34$

A woman puts $\$ 294.50$ , which is $33 \frac{1}{3} \%$ of her weekly earnings, in the bank. How much does she earn in a week?

Convert the following metric units. Write your answer in scientific notation if the numerical value is greater than 1000 or less than 0.1 . (a) $567000 \mathrm{~cm}$ to $\mathrm{km}$ (b) 74000 nanohms to deciohms (c) $3.5 \times 10^{-6}$ giganewtons to millinewtons

Perform each computation, keeping the proper number of digits in your answer. (a) $(170+12.5 \times 11.1)-\sqrt{4.32}$ (b) $\frac{1.21}{(-3.5)(67.4)}+\frac{2.57}{(-9.27)(6.53)}$

Compute the reciprocal of the following number, keeping the appropriate number of digits in your answer is -12.5

Of the 1925 hectares of skiable terrain on Whistler Mountain, 285 hectares are for beginners. What percent of the terrain is rated for non-beginners?

The average acceleration of a moving body is given by $a_{a v g}=\frac{V_{f}-V_{1}}{t_{f}-t_{1}}$ , where $V_{1}$ is the initial velocity, $V_{f}$ is the final velocity, $t_{1}$ is the initial time, and $t_{f}$ is the final time. Calculate the average acceleration, in $\mathrm{ft} / \mathrm{s}^{2}$ , of a car that starts from rest when a stop watch reads $00.00 \mathrm{~s}$ and then accelerates to 55.0 $\mathrm{mi} . / \mathrm{h}$ when the watch reads $10.34 \mathrm{~s}$ .

Insert the proper sign of equality or inequality $(=, \approx,>,<)$ between the pair of numbers: $1 / 3$ ________ 0.333 .

The moment of inertia of a solid sphere with mass $M$ and radius $R$ is $\frac{2 M R^{2}}{5}$ . Therefore, the moment of inertia of a sphere with a mass of $12.0 \mathrm{~kg}$ and a radius of $5.29 \mathrm{~m}$ is $(2 / 5)(12.0)(5.29)^{2} \mathrm{~kg} \cdot \mathrm{m}^{2}$ . Calculate this moment of inertia.

Substitute $x=3$ into $y=4 x^{4}+2 x^{2}$ . Do not round your answer.

Perform each computation, keeping the proper number of digits in your answer. (a) $(24.5 \times 0.040)+(12.5 \times 0.13)$ (b) $\frac{7.26}{3.15}-\frac{4.902}{3.85}+\frac{9.27}{6.52}$ (c) $\frac{14.375+0.12}{32-12.11}$