The function f is continuous where f(−5) = −1 and f(5) = 6, and g is a function defined by g(x) = 1 − (f(x))2. Is there a value c for −5 < c < 5 such that g(c) = 1? Why, or why not? Yes; the function g is continuous
Yes; g(−5) < 1 < g(5), so IVT guarantees there is a value c for −5 < c < 5 such that g(c) = 1
No; 1 is not between g(−5) and g(5), so IVT cannot guarantee there is a value c for −5 < c < 5 such that g(c) = 1
No; the function g is not continuous

Galen sold tickets of his church’s carnival for a total of $2,820. children’s tickets cost $3 each and adult tickets cost $5 each. the number of children’s tickets sold was 30 more than 3 times the number of adult tickets slod. how many children’s ticket and how many adult tickets did he sell?

Adoctor administers a drug to a 38-kg patient, using a dosage formula of 50 mg/kg/day. assume that the drug is available in a 100 mg per 5 ml suspension or in 500 mg tablets. a. how many tablets should a 38-kg patient take every four hours? b. the suspension with a drop factor of 10 ggt/ml delivers the drug intravenously to the patient over a twelve-hour period. what flow rate should be used in units of ggt/hr? a. the patient should take nothing pills every four hours. (type an integer or decimal rounded to the nearest hundredth as needed.)

Write an introductory paragraph for this corrie ten boom and her family were faced with some difficult choices after hitler came to power. some family members paid the ultimate price. write a carefully thought-out paper of at least 200 words dealing with the following concepts: --how should a christian act when evil is in power? --what do you think it would be like to live in an occupied country? remember to proofread anything you write thoroughly.