Exams & Certification

Express 0.38 as a fraction in simplest form The Correct Answer and Explanation is: Answer: 0.38 as a fraction in simplest form is 19/50. Explanation: To express 0.38 as a fraction, we begin by recognizing that it is a decimal number. The digits “38” are in the hundredths place, meaning 0.38 is the same as […]

Find 0.038 as a fraction in its lowest terms The Correct Answer and Explanation is: To express 0.038 as a fraction in its lowest terms, follow these steps: Correct Answer: 0.038=195000.038 = \frac{19}{500}0.038=50019​ Explanation: The decimal number 0.038 is a terminating decimal, which means it can be easily converted into a fraction. Step 1: Write

What is the opposite of communism? A. Socialism B. Capitalism C. Mixed economy D. None of the above The Correct Answer and Explanation is: Correct Answer: B. Capitalism The opposite of communism is capitalism. Communism and capitalism represent two fundamentally different systems of economic and political organization. Communism is a system in which all property

Rewrite the equation in exponential form. loga(b) = c The Correct Answer and Explanation is: The exponential form of the logarithmic equationlogₐ(b) = cis:aᶜ = b Explanation Understanding how to convert between logarithmic and exponential forms is essential in algebra and higher-level mathematics. The equation logₐ(b) = c is a logarithmic expression. It asks the

Rewrite each equation in exponential form. Show your work (2 marks each) ~2 log=64 I0) 256 The Correct Answer and Explanation is: To rewrite each equation in exponential form, let’s systematically work through the transformations based on logarithmic definitions. Given Logarithmic Equations: Using this definition, let’s rewrite the provided equations. 1. log⁡264=6\log_2 64 = 6

A bag contains 30 lottery ball numbered 1-30. A ball is selected, and NOT replaced, then another is drawn. what is the probability two perfect squares are chosen The Correct Answer and Explanation is: We are given that a bag contains 30 lottery balls, numbered from 1 to 30. A ball is selected without replacement,

Mr. Reed is drawing a blueprint of a rectangular patio. The width of the patio is feet shorter than twice its length. The perimeter of the patio is feet. What is the length of the patio? The Correct Answer and Explanation is: To determine the length of the patio, let’s define variables for the dimensions:

find the sum of following fraction 4 12/20+17/25 The Correct Answer and Explanation is: To find the sum of the fractions 41220+17254\frac{12}{20} + \frac{17}{25}42012​+2517​, we first convert the mixed number to an improper fraction, then add the two fractions. Step 1: Convert the mixed number to an improper fraction 41220=4×20+1220=80+1220=92204\frac{12}{20} = \frac{4 \times 20 +

what fraction is equivalent to 4 12? The Correct Answer and Explanation is: The expression 4 12 appears to be incomplete or unclear. If you meant 4 1/2 (a mixed number), then its equivalent fraction is:412=924 \frac{1}{2} = \frac{9}{2}421​=29​ Explanation: When working with mixed numbers, the goal is often to convert them into improper fractions.

An air conditioner is set t0 maintain a room temperature of 24″C. What will be the corresponding temperature in (a) Degrees Fahrenheit (b) Degrees Kelvin The Correct Answer and Explanation is: To convert a temperature of 24°C into other units, we use the following formulas: (a) Degrees Fahrenheit (°F): °F=(95×°C)+32°F = \left( \frac{9}{5} \times °C