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blsea [12.9K]
3 years ago
7

The Baker formula estimates the maximum heart rate, in beats per minute, of a person who is

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

For a=16, the Maximum Heart Rate is 188 Beats Per Minute.

Step-by-step explanation:

<em>To begin, we know that the formula:</em>

b(a)=200-0.75a    Eqn(1).

<u>is equivalent to a linear equation of algebraic form denoted as:</u>

y=k+mx                  Eqn(2)

<em>as such that  Eqns (1) and (2) relate as follow:</em>

y ⇔ b(a): denoting our Dependent Variable, in this case <em>Max. Heart Rate in Beats Per Minute</em>

x ⇔ a: is our Independent Variable<em>, </em>in this case the <em>Age of the Person</em>

m ⇔ 0.75: denoting the<em> Rate of Change of the Age.</em>

k ⇔ 200: denoting our <em>Constant.</em>

Now in the question our value of b(a) is given as 188 beats per minute, which by plugging in Eqn(1) gives:

200-0.75a=188

from which we can solve to obtain the value of a as follow:

-0.75a=188-200          Gather similar terms on each side

-0.75a=-12\\                   Simplify

a=\frac{-12}{-0.75}                           Solve for a

a=16

Which tells us that at the Age of 16, the Max. Heart Rate is 188 Beats Per Minute.

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Find all polar coordinates of point P where P = ordered pair 3 comma negative pi divided by 3 .
jek_recluse [69]

Answer:

The all polar coordinates of P are:

(3 , -π/3) , (3 , 5π/3) , (-3 , 2π/3) , (-3 , -4π/3)

Step-by-step explanation:

* Lets study the polar coordinates of a point

- In polar coordinates there is an infinite number of coordinates

 for a given point.

- The polar coordinates of a point (x , y) is (r , θ), where

  r = √ ( x2 + y2 )

  θ = tan-1 ( y / x )

# Ex: the following four points are all coordinates for the same point.

* (5 , π/3) = (5 , −5π/3) = (−5 , 4π/3) =(−5 , −2π/3)

- These four points only represent the coordinates of the point without  

  rotating more than once

- So the point (r,θ) can be represented by any of the following

  coordinate pairs  (r , θ + 2π n) and (−r , θ + (2n + 1) π), where n is

  any integer.

* Now lets solve the problem

∵ P = (3 , -π/3)

∵ (r , θ + 2πn)

∴ r = 3 an d Ф = -π/3

- let n = 1

∴ P = (3 , -π/3 + 2π)

∴ P = (3 , 5π/3)

∵ P =(3 , -π/3)

∵ P = (-r , θ + (2n + 1) π)

Let n = 0

∴ P = (-3 , -π/3 + (2×0 + 1) π)

∴ P = (-3 , -π/3 + (0 + 1) π)

∴ P = (-3 , -π/3 + π)

∴ P = (-3 , 2π/3)

∵ P =(3 , -π/3)

∵ P = (-r , θ + (2n + 1) π)

Let n = -1

∴ P = (-3 , -π/3 + (2(-1) + 1) π)

∴ P = (-3 , -π/3 + (-2 + 1) π)

∴ P = (-3 , -π/3 + -π) = (-3 , -4π/3)

∴ P = (-3 , -4π/3)

5 0
2 years ago
Please help on this one? :)
kirill [66]

Answer:B,C,D


Step-by-step explanation:B- The point is over 1 off the y-axis

C-They are the points the line crosses the x-axis

D- There is no lower point


7 0
3 years ago
Plss helppp!!!!!!!!!!!!!
nikdorinn [45]

Answer:

 it is B

Step-by-step explanation: 25 goes in 1 hundred 4 times And that gets us to 24

5 0
2 years ago
Chris made $184 for 8 hours of work. At the same rate, how much would he make for 13 hours of work?
pashok25 [27]

Answer:

$299

Step-by-step explanation:

Make a proportion

He makes $184 for 8 hours of work, and $x for 13 hours of work

184/8=x/13

To solve, we need to get x by itself. To do this, multiply both sides by 13. We multiply because x is being divide by 13, and we want to do the opposite.

13(184/8)=(x/13)13

The 13s on the right will cancel, leaving us with

13(23)=x

299=x

So, he will earn $299 for 13 hours of work.

4 0
3 years ago
Read 2 more answers
The team must score an additional 6 points to win the game. There are 10 more chances to score one point. What inequality repres
Rashid [163]
10>c = 6 = 10< x.


Idk could be right?
4 0
3 years ago
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