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Problem 41

Writing in Math Explain how simplified fractions are useful in representing measurements. Include an explanation of how measurements represent parts of a whole and examples of fractions that represent measurements.

Problem 41

Mersenne primes are prime numbers in the form \(2^{n}-1 .\) In \(2004,\) Josh Findlay used special software to discover the largest prime number so far, \(2^{24,036,583}-1 .\) Write the prime factorization of each number, or write prime if the number is a Mersenne prime. $$2^{7}-1$$

Problem 41

Evaluate each expression if \(a=2, b=4,\) and \(c=-3\) $$3 a+b^{3}$$

Problem 42

Mersenne primes are prime numbers in the form \(2^{n}-1 .\) In \(2004,\) Josh Findlay used special software to discover the largest prime number so far, \(2^{24,036,583}-1 .\) Write the prime factorization of each number, or write prime if the number is a Mersenne prime. $$2^{8}-1$$

Problem 42

Find each missing exponent. $$\text { Find } a^{4} \cdot a^{6} \div a^{2}$$

Problem 42

Which store offers the best buy? \begin{aligned}&\begin{array}{l}\text { A A } \\\\\text { B B } \\\\\text { C } C \\\\\text { D D }\end{array}\\\&\begin{array}{|c|c|}\hline \text { Store } & \text { Potatoes } \\\\\hline \mathrm{A} & 18 \text { for } \$ 12 \\\\\hline \mathrm{B} & 30 \text { for } \$ 24 \\\\\hline \mathrm{C} & 36 \text { for } \$ 30 \\\\\hline \mathrm{D} & 42 \text { for } \$ 30 \\\\\hline\end{array}\end{aligned}

Problem 42

Write each decimal using a negative exponent. $$0.1$$

Problem 42

Evaluate each expression if \(a=2, b=4,\) and \(c=-3\) $$a^{2}+3 a-1$$

Problem 43

For Exercises 43 and \(44,\) consider the pattern \(7,14,21,28,35, \dots\) Find the GCF of the terms in the pattern. Explain how you know.

Problem 43

In a pen factory, an average of 5 pens out of every \(p\) pens tested are rejected. What fraction of those \(p\) pens is NOT rejected? $$\mathbf{F} \frac{5}{p}$$ $$G \frac{p}{5}$$ $$H \frac{p-5}{5}$$ $$J \frac{p-5}{p}$$

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