Your cardiac index is your heart’s output, in liters of blood per minute, divided by your body’s surface area, in square meters. The cardiac index, C ( x ) , can be modeled by C ( x ) = 7.644 x 4 , 10 ≤ x ≤ 80 , where x is an individual’s age, in years. The graph of the function is shown. Use the function to solve Exercises 95–96. a. Find the cardiac index of a 32-year-old. Express the denominator in simplified radical form and reduce the fraction. b. Use the form of the answer in part (a) and a calculator to express the cardiac index to the nearest hundredth. Identify your solution as a point on the graph.
Your cardiac index is your heart’s output, in liters of blood per minute, divided by your body’s surface area, in square meters. The cardiac index, C ( x ) , can be modeled by C ( x ) = 7.644 x 4 , 10 ≤ x ≤ 80 , where x is an individual’s age, in years. The graph of the function is shown. Use the function to solve Exercises 95–96. a. Find the cardiac index of a 32-year-old. Express the denominator in simplified radical form and reduce the fraction. b. Use the form of the answer in part (a) and a calculator to express the cardiac index to the nearest hundredth. Identify your solution as a point on the graph.
Solution Summary: The author explains how to calculate the cardiac index of a 32-year-old to the nearest hundredth.
Yourcardiac indexis your heart’s output, in liters of blood per minute, divided by your body’s surface area, in square meters. The cardiac index,
C
(
x
)
, can be modeled by
C
(
x
)
=
7.644
x
4
,
10
≤
x
≤
80
,
where
x
is an individual’s age, in years. The graph of the function is shown. Use the function to solve Exercises 95–96.
a. Find the cardiac index of a 32-year-old. Express the denominator in simplified radical form and reduce the fraction.
b. Use the form of the answer in part (a) and a calculator to express the cardiac index to the nearest hundredth. Identify your solution as a point on the graph.
Answer the number questions with the following answers
+/- 2 sqrt(2)
+/- i sqrt(6)
(-3 +/-3 i sqrt(3))/4
+/-1
+/- sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
1
Matching 10 points
Factor and Solve
1)x3-216 0, x = {6,[B]}
2) 16x3 = 54 x-[3/2,[D]]
3)x4x2-42 0 x= [ +/-isqrt(7), [F] }
4)x+3-13-9x x=[+/-1.[H]]
5)x38x2+16x=0, x = {0,[K}}
6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3))
7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}}
8) 5x³-3x²+32x=2x+18 x = {3/5, [S]}
[B]
[D]
[F]
[H]
[K]
[M]
[Q]
+/-2 sqrt(2)
+/- i sqrt(6)
(-3+/-3 i sqrt(3))/4
+/- 1
+/-sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
[S]
The only problems I need help with ae the last 8 ones, Thanks
Chapter 7 Solutions
Intermediate Algebra for College Students (7th Edition)
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