The maximum heart rate, in beats per minute, that you should achieve during exercise is 220 minus your age, \( 220-\mathrm{a} \). Your exercise goal is to improve cardiovascular conditioning. Use the following formulas to answer parts (a) and (b). Lower limit of range \( \quad \mathrm{H}=\frac{7}{10}(220-\mathrm{a}) \) Upper limit of range \( \quad \mathrm{H}=\frac{4}{5}(220-\mathrm{a}) \) a. What is the lower limit of the heart range, in beats per minute, for a 31 -year-old with this exercise goal? The lower limit of the heart range is \( \square \) beats per minute. (Round to the nearest integer as needed.)

ich \( \begin{array}{l}\text { 2. The cost of attending a private university is } \\ \$ 38,000 \text { for the first year. } \\ \text { - A student's uncle will pay half of this cost. } \\ \$ 10.000 \text {. }\end{array} \) Which amount is closest to the minimum that the student will need to save every month in order pay off the remaining cost at the end of 2 years? A. \( \$ 791.67 \) B. \( \$ 750.00 \) C. \( \$ 450.00 \) D. \( \$ 375.00 \)

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Heath science jobs can be located using resources such as state workforce boards or councils. Thue False

\( 1 \leftarrow \quad \) Multiply using one of the rules for the square of a binomial. \[ \begin{array}{l}(5 x-6 y)^{2} \\ (5 x-6 y)^{2}=\square\end{array} \]

Calcule la derivada de la función: \( f(x) = 3x + 5 \)