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Simplify 161/4 x 2⁻³ x 30
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6 partsStep-by-step solution
17 stepsHere are the solutions to the problems:
Part 2· 2 steps
Simplify
Evaluate each term in the expression.
Multiply the results.
The calculated answer is . However, this is not among the given options (A. 4, B. 8, C. 16, D. 32). Assuming there might be a typo in the question and was intended to be , let's re-evaluate:
Based on this assumption, the answer would be 16.
The most likely intended answer from the options, assuming a common typo, is C.
Part 3
If varies directly as the cube root of and when ; find when .
Write the direct variation equation.
If varies directly as the cube root of , then , where is the constant of proportionality.
Use the given values () to find the constant .
Use the constant and the new value () to find .
The final answer is .
Part 4
Find the rate per annum at which a sum of N52,200.00 generates a simple interest of N6,525.00 in years.
Identify the simple interest formula and given values.
The simple interest formula is .
Given:
Substitute the values into the formula and solve for .
Calculate the value of and convert to a percentage.
To express as a percentage, multiply by 100:
The final answer is .
Part 5
Express 0.07552 to two decimal places.
Identify the digit in the second decimal place.
The number is 0.07552. The second decimal place is 7.
Look at the digit immediately after the second decimal place.
The digit after 7 is 5.
Apply rounding rules.
Since the digit (5) is 5 or greater, round up the second decimal place.
Rounding 7 up gives 8.So, 0.07552 rounded to two decimal places is 0.08.
The final answer is .
Part 6
Evaluate , stating your answer in standard form.
Calculate the denominator .
Perform the division.
To simplify, multiply the numerator and denominator by 10000:
Express the result in standard form (scientific notation).
The final answer is .
Part 7
Find the product of and , leaving your answer in base 5.
Convert the base 5 numbers to base 10.
Multiply the base 10 numbers.
Convert the product back to base 5.
Divide 143 by 5 repeatedly and record the remainders:
remainder 3
remainder 3
remainder 0
remainder 1
Reading the remainders from bottom to top gives .The final answer is .
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