All Questions & Answers

Write 0.8 as a simplified fraction and a percentage.

66. Rams' Horns The average annual increment in the horn length (in centimeters) of bighorn rams born since 1986 can be approximated by \[ y=0.1762 x^{2}-3.986 x+22.68 \text {, } \] where \( x \) is the ram's age (in years) for \( x \) between 3 and 9 . Inte- grate to find the total increase in the length of a ram's horn during this time. Source: Journal of Wildlife Management. 67. Beagles The daily energy requirements of female beagles who are at least 1 year old change with respect to time according to the function \[ E(t)=753 t^{-0.1321} \text {, } \] where \( E(t) \) is the daily energy requirement (in kJ/ \( \left.W^{0.67}\right) \), where \( W \) is the dog's weight (in kilograms) for a beagle that is \( t \) years old. Source: Journal of Nutrition. a. Assuming 365 days in a year, show that the energy require- ment for a female beagle that is \( t \) days old is given by \( E(t)=1642 t^{-0.1321} \). b. Using the formula from part a, determine the total energy requirements (in kJ/ \( W^{0.67} \) ) for a female beagle between her

A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by \( E^{\prime}(x)=12 x+10 \), where \( x \) is the number of days since the start of the job. Find the expenditure if the job takes 4 days. A. \( \$ 5,800 \) B. \( \$ 13,600 \) C. \( \$ 136 \) D. \( \$ 58 \)

\( \frac{x+y}{x}+1=\frac{1}{x} \quad( \) mit \( x \neq 0), x=? \)

2. Scatter Plot and Correlation: Consider the following data points representing the number of hours studied \( (x) \) and the marks obtained \( (y) \) : \[ (1,50),(2,55),(3,60),(4,65),(5,75) \] wa scatter plot and determine whether the relationship between hours studied and marks ositive, negative, or none.

(8) \( A \times(B-C)=(A \times B)-(A \times C) \)

\( \left\{\begin{array}{l}4 y=x-4 \\ x=4-y \\ \\ \text { Solution: }\end{array}\right. \)

Solve the following exponential equation Use a calculator to obtain a decimal approximation (round to two decimalplaces) for the solution. \( 3 e^{7 x}=879 \)

Fill in the blank with the correct question word.¿ _______es tu nombre? (What is your name?)A. Para quéB. CuálesC. QuéD. Cuál

Define your variable, write an equation or inequality, and solve. Pet supplies make a profit of \( \$ 5.50 \) per bag on its line of natural dog food. If the store wants to make a profit of no less thgn \( \$ 5,225 \), how many bags of dog food does it need to sell?