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Anvisha [2.4K]
1 year ago
13

Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, r, in beats per minut

e, can be approximated by the formulas r = 143 minus 0.65 a for women r = 165 minus 0.75 a for men, where a represents the person’s age. if the desirable heart rate for a man is 135 beats per minute, how old is he? a. 22.5 years old b. 40 years old c. 45 years old d. 42.5 years old
Mathematics
1 answer:
Scorpion4ik [409]1 year ago
8 0

Answer:

R, in beats per minute, can be approximated by the formulas, where a represents the person's age.

where R= 143 - 0.65a for women.... (1)

and R= 165 - 0.75a for men,..... (2)

So by implementing these two equation we get a = 40

So the age will be 40 years old

 

 know more about “Mathematical Equation” here: brainly.com/question/1214333

#SPJ4

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If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num
Hitman42 [59]

Answer:

The original fraction is \frac{6}{14}.

Step-by-step explanation:

Solution,

Let the fraction be'\frac{x}{y}'.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

\frac{x+2}{y+2}=\frac{1}{2}

On using cross multiplication method, we get;

2(x+2)=y+2\\\\2x+4=y+2\\\\2x+4-2=y\\\\\therefore\ y=2x+2\ \ \ \ equation\ 1

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

\frac{x-2}{y-2}=\frac{1}{3}

On using cross multiplication method, we get;

3(x-2)=y-2\\\\3x-6=y-2\\\\3x-y=-2+6\\\\3x-y=4 \ \ \ \ equation\ 2

Now Substituting the equation 1 in equation 1 we get;

3x-y=4\\\\3x-(2x+2)=4\\\\3x-2x-2=4\\\\3x-2x=4+2\\\\x=6

Now Substituting the value of x in equation 1 we get;

y=2x+2\\\\y=2\times6+2 = 14

Hence The original fraction is \frac{6}{14}.

4 0
3 years ago
When translating the phrase "twice the quantity of four more than three times a number"on students wrote the expression 2*3x+4
kozerog [31]
It is wrong because the equation is missing parentheses around the sum

When it says "the quantity of..." it always means parentheses. The correct equation is 2(3x+4)
5 0
2 years ago
The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x 2 y = 5x 2
vova2212 [387]

The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

<h3>What is range of function?</h3>

Range of a function is the set of all the possible output values which are valid for that function.

The function whose range is (2, ∞) has to be find out.

The first function given in the problem is,

y=2^x

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The second function given in the problem is,

y=2(5)^x

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The fourth function given in the problem is,

y=(5)^x+2

This function is translated 5 units up to the function 5ˣ which has the range (0,∞).

Thus, the range of this function is (2, ∞).

Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

Learn more about range of the function here;

brainly.com/question/2264373

5 0
2 years ago
How can you compare 7/10 and 1/2 without using a model?
yawa3891 [41]
Seventy-three is the answer
4 0
3 years ago
4b - a if a=2 b=4 find its answer
romanna [79]

Answer:

14

Step-by-step explanation:

if b=4 and a=2, then you substitute both those values into the equation, turning (4b - a) into (4*4 - 2), then you use order of operations, meaning you multiply the 4 times the 4, which turns it into 16-2, and then subtract 2 to finally reach your answer of 14.

5 0
2 years ago
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