Mai-Lin measures her heart rate whenever she exercises and tries to make sure that she is staying in her target heart rate zone. The American Heart Association suggests a target heart rate of T=0.75(220-a), where T is a person's target heart rate and a is his or her age.
a. Prove that given a person's target heart rate, you can calculate his or her age using the formula a=220- T/0.75.

Answers

Answer 1

If the American Heart Association suggests a target heart rate of T=0.75(220-a),  Proving  that given a person's target heart rate, you can calculate his or her age using the formula a=220- /0.75. His/her age is 16 years.

Target heart rate

a. Given:

T=0.75(220-a)

where

T =a person's target heart rate

a= his or her age

Prove:

Hence:

T=0.75(220-a)

T/0.75=220-a

T/0.75-220=a

-T/0.75+220=a

a=-T/0.75+220

a=220-T/0.75

b. How old is she:

a=220-T/0.75

where:

T=153

Substitution

a=220-153/0.75

a=220-204

a=16 years

Therefore proving  that given a person's target heart rate, you can calculate his or her age using the formula a=220- /0.75. His/her age is 16 years.

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The complete question is:

Mai-Lin measures her heart rate whenever she exercises and tries to make sure that she is staying in her target heart rate zone. The American Heart Association suggests a target heart rate of T=0.75(220-a), where T is a person's target heart rate and a is his or her age.

a. Prove that given a person's target heart rate, you can calculate his or her age using the formula a=220- T/0.75.

b. If Mai-Lin’s target heart rate is 153, then how old is she? What property justifies your calculation?


Related Questions

Name a Linear Pair.

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Answer:

MSN < LSO

Step-by-step explanation:

Identical Shapes which makes them linear pairs because they pair with each other.

Thanks Please Mark Brainliest, (Trying to rank to genius)

Msn< Lso cause they match

What is the quotient of 80 divided by 2/3

Answers

Answer:

approximately 13.333333....

Step-by-step explanation:

2/3=0.66666...

80/0.66666...=13.333333..

Find the value of x.
51 m
h
48 m
51 m

Answers

Step-by-step explanation:

there is no "x" in the whole scenario.

you and your teacher mean "h" ?

this we get by using Pythagoras, because h, half of the baseline and one of the 51 m sides create a new right-angled triangle :

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle). a and b are the legs.

so, for that new inner triangle we have then

51² = h² + (48/2)² = h² + 24²

2601 = h² + 576

h² = 2025

h = 45 m

13 and 9 please help

Answers

Answer:

x>-4, x<=27.5

Step-by-step explanation:

First mark your digits on the number line. For question 9, it seems that x>-4, so mark that on your number line and draw an empty circle with an arrow pointing right.

For 13 multiply both sides by 5/4, and your answer is 27.5>=w. Mark it down with a filled in circle and an arrow going to the left.

Does the figure below appear to have line symmetry? If so, how many lines of symmetry?

Answers

Answer:

Yes

Step-by-step explanation:

Wouldn't there be 3? because lines of symmetry is basically two lines that look the same and are the same. so the points on the end counts as 2 since it's on opposite side, and the two lines in middle count as 1. So I am going with 3 symmetrical lines amount.

6. Розв'яжіть систему рівнянь способом додавання
79
Відповідь:
3x + 4y = -1,
-3x + 7y = 23.
Відповідь:

Answers

Answer:

x= -85/33 ; y=2

Step-by-step explanation:

The simultaneous equation first when we add the y vale become 2, y=2 then to get x value the first equation multipled by -7 & the second equation by 4 the we will gate x=-85/33

5=5/ax+1
Help?? I need to find the value of x. I don’t have the value of a

Answers

The value of a is zero from the given expression

Subject of formula

Subject of formula is a way of representing a variable with another variable.

Given the expression below;

5=5/ax+1

We are to make x the subject of the formula

1 =1/ax+1

Cross multiply

ax+1 = 1

ax =  1-1

ax = 0

Find the value of a

a = 0/x

a = 0

Hence the value of a is zero from the given expression

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april needs to rent a car while on vacation. the rental company charges $18.95, plus 16 cents for each mile driven. of april only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Answers

Answer:

Step-by-step explanation:

18.95+.16 = 19.11

answer is 2 miles is the maximum

50 points plus brainliest please help screenshot provided

Answers

Answer:

Equation: [tex]\sf 3x + x + 14 = 90[/tex]

m∠1 = 57°

m∠2 = 33°

Explanation:

A right angle triangle has 90° angle measure.

Here:

m∠1 + m∠2 = 90°

(a)

Substitute given values:

(3x) + (x + 14) = 90

simplify

4x = 90 - 14

evaluate

4x = 76

divide both sides by 4

x = 19

(b)

m∠1 = 3x = 3(19) = 57°

m∠2 = x + 14 = 19 + 14 = 33°

Answer:

[tex]\textsf{(a)} \quad (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}[/tex]

[tex]\textsf{(b)} \quad m \angle 1=\boxed{57}\:^{\circ}[/tex]

       [tex]m \angle 2=\boxed{33}\:^{\circ}[/tex]

Step-by-step explanation:

From inspection of the given diagram:

[tex]m \angle 1=(3x)^{\circ}[/tex][tex]m \angle 2=(x+14)^{\circ}[/tex]

Part (a)

A right angle is 90° and is represented by the ∟ symbol.

To find x, equal the sum of the angles to 90° and solve for x:

[tex]\implies m \angle 1+m\angle2=90^{\circ}[/tex]

[tex]\implies (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}[/tex]

[tex]\implies 3x+x+14=90[/tex]

[tex]\implies 4x+14=90[/tex]

[tex]\implies 4x+14-14=90-14[/tex]

[tex]\implies 4x=76[/tex]

[tex]\implies 4x \div 4=76 \div 4[/tex]

[tex]\implies x=19[/tex]

Part (b)

To find the degree measure of each angle, substitute the found value of x into the expression for each angle.

[tex]\implies m \angle 1=(3 \cdot 19)^{\circ}=57^{\circ}[/tex]

[tex]\implies m \angle 2=(19+14)^{\circ}=33^{\circ}[/tex]

The point (-6,-5) across y=-x

Answers

Answer:

(5, 6 )

Step-by-step explanation:

under a reflection in the line y = - x

a point (x, y ) → (- y, - x ) , then

(- 6, - 5 ) → (5, 6 )

What is the equation and the total amount? last one for this topic

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Check out the attached photo

w=28t+600

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(8x-9y=-13
(2x-3y = -7

Answers

Answer:

the answer is x=17,y=14/3

Answer:

x=4 y=5

Step-by-step explanation:

8x-9y=-13

2x-3y=-7

Solve for y:

Multiply the bottom by 4 to have the x's equal each other and cancel out:

8x-9y=-13

8x-12y=-28

Then subtract:

0x+3y=15

y=15/3 -> y=5

Solve for x:

Multiply the bottom by 3 to have the y's equal each other and cancel out:

8x-9y=-13

6x-9y=-21

Then subtract:

2x=8

x=4

Use the properties of exponents to simplify the given expression. First express the answer in exponential form. Then evaluate the expression. 3^5/3^7

Answers

Answer:

3^-2

Step-by-step explanation

Subtract the exponent on the denominator from the exponent on the numerator

5-7=-2

keep the 3 and apply the -2 exponent

A rectangular prism is 4units high,2wide,and 6 units long what is it's surface area in square units

Answers

Answer:

9514 1404 393

Step-by-step explanation:

Answer:

the area is 88

Step-by-step explanation:

2(wl+hl+hw) <- formula

6. The function R(x) = 2 + 3.5 represents the number of feet the tide moves x
minutes after 4 pm.
a. Find R(17) =

Answers

By substituting the value of x as 17 in the function R (x) = 2 x + 3.5, we get the value of R ( 17 ) as 37.5.

We are given a function:

R (x) = 2 x + 3.5

where x represents the number of feet the tide moves x minutes after 4 pm.

Now, we are asked to find R (17)

For this, we need to substitute the value of x as 17 that is we need to put x = 17 in the function that is given to us.

R ( x = 17 ) = 2 ( 17 ) + 3.5

R ( 17 ) = 34 + 3.5

R ( 17 ) =37.5

Therefore, by substituting the value of x as 17, we get the value of R ( 17 ) as 37.5.

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What are the possible values of x for the following functions?

f(x)=2-x/x(x-1)

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Answer:

fx 2

gy

jjhuffff

vct5

yguutfufyhdyts, us f Rd dgidtetdigdeieot

Mr. Zuro finds the mean height of all students in his statistics class to be inches. Just as mr. Zuro finishes explaining how to get the​ mean, danielle walks in late. Danielle is inches tall. What is the mean height of the students in the​ class?.

Answers

Mean height of the students in the class = 65.7 inches

The mean height of all 12 students in the class is 66.0 inches.

So the Total height of 12 students in the class = 66 × 12

                                                                              = 792 inches

As Danielle's height = 62.1 inches

So the total height of 13 students = 792 + 62.1

                                                        = 854.1 inches

Mean of all 13 students in the class = 854.1 / 13

                                                            = 65.7 inches

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The complete question:

Mr. Zuro finds the mean height of all 12 students in his class to be 66.0 inches. Just as Mr. Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 62.1 inches tall. What is the mean of the 13 students in the class?

Geometry B.5 Add
Learn with an example
If TU = 14 and UV = 10, what is TV?
5

Answers

Should be around 17.2

a radioactive substance decays exponentially. a scientist begins with 180 milligrams of a radioactive substance. after 33 hours, 90 mg of the substance remains. how many milligrams will remain after 43 hours?

Answers

The required weight after 43  hours is 72. 96mg

How to determine the value

From the information given, we have that;

A Scientist begins with 180 milligrams of a radioactive substance

Let us take Po = 180 milligrams

Using the expression;

[tex]P(t) = Poe^k^t[/tex]

Substituting the values of t = 33, P = 90mg and Po = 180

90 = 180e^33t

[tex]e^3^3^t = \frac{1}{2}[/tex]

Take the log of both sides

[tex]33ln(e^k) = ln (\frac{1}{2} )[/tex]

[tex]k = -\frac{ln 2}{33}[/tex]

k = - 0. 0210

The equation becomes: P(t) = 150e^-0.0210

Substitute t as 43

[tex]P(43) = 180e^-^0^.^0^2^1^0 ^*^4^3[/tex]

P(43) = 72. 96 mg

Hence,  72. 96 mg will remain after 43 hours.

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Find the equation in point-slope from of a line that has a slope of 1/2 and goes through the point (-4,1)

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Answer:

kmskswwkwwekeke NM. smsskskks

Large numbers are those numbers that have a bigger value than the numbers that we use in daily life. such numbers tend to create a sense of fear among children and they often skip solving problems that have large numbers in them. for example, 1 million, 1 billion, etc., are large numbers that are used either to show the population of a country or express large amounts of money in a bank account.

Answers

These periods are named as ones, thousands, lakhs, and so on. The one's period consists of the first three digits of the large number, starting from the right.

Everyone learns how to count numbers at a very young age starting from a single digit up to seven digits. This is done with the help of the place value system.

While writing large numbers, we always keep the place value system in mind to ensure that it is written correctly. According to the Indian place-value system, when a number is written in the standard form, each group of digits separated by a comma is called a period.

These periods are named as ones, thousands, lakhs, and so on. The one's period consists of the first three digits of the large number, starting from the right. The thousands period consists of the next two digits. The lakhs period consists of the next two digits and it continues.

Some other large numbers are read and written as follows:

1,000,000,000 = one billion

1,000,000,000,000 = one thousand billion

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P = 2 ( l + w ) explain how to work this out please

Answers

Answer:

2l + 2w

Step-by-step explanation:

using the distributive property

a(b + c) = ab + ac

2(l + w)

= 2l + 2w

Which is the angle measured in a horizontal circle around your horizon? ecliptic equator azimuth right ascension

Answers

Azimuth is the angle measured in a horizontal circle around your horizon.

In this question,

The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.

A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.

Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).

The meridian is an imaginary North-South line running through the zenith.

Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.

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two trains leave stations 560 miles apart at the same time and travel toward each other. one train travels at 95 miles per hour while the other travels at 105 miles per hour. how long will it take for the two trains to meet?

Answers

It will take 2 hours 48 minutes for the two trains to meet.

For given question,

Two trains leave stations 560 miles apart at the same time and travel toward each other.

One train travels at 95 miles per hour while the other travels at 105 miles per hour.

This means the speed one train is 95 mph while the speed of other train is 105 mph.

Let t be the time in hours for two trains to meet.

From given scenario,

⇒ 560 = (105 + 95)t

⇒ 560 = 200 t

⇒ t = 2.8 hours

1 hour = 60 minutes

So, 0.8 hours = 48 minutes

⇒ 2.8 hours = 2 hours 48 minutes

This means, both trains meet after 2 hours 48 minutes

Therefore, it will take 2 hours 48 minutes for the two trains to meet.

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pls help marking brainliest pic attached

Answers

Answer:

4

Step-by-step explanation:

16x4=64

Answer:

4 chapters

Step-by-step explanation:

If Raj can read 1 chapter in 16 minutes you need to figure out how many times 16 goes into 64. Divide 64 by 16 and you get 4. Which means Raj can read 4 chapters in 64 minutes.

Is a triangle with side lengths of 2 millimeters, 2.5 millimeters, and 3 millimeters a right triangle?

Answers

The triangle with side lengths of 2 mm, 2.5 mm, and 3 mm is not a right triangle because it does not obey Pythagoras theorem.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Pythagoras theorem states that for a right angled triangle:

Hypotenuse² = Adjacent² + Opposite²

To prove that a triangle with side lengths of 2 mm, 2.5 mm, and 3 mm a right triangle:

3² = 2² + 2.5²

9 = 4 + 6.25

9 ≠ 10.25

The triangle with side lengths of 2 mm, 2.5 mm, and 3 mm is not a right triangle because it does not obey Pythagoras theorem.

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Simplify by combining like terms.
3x^2y^2 + 4xy - 2x^2y^2 - 6xy

Answers

Hello,

3x²y² + 4xy - 2x²y² - 6xy = x²y² -2xy

whats 5 and 1/5 divided by 3

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the answer is 1 11/15

F(x)= 2x^2-3x-9 G(x)= 4x^2-9 find (f/g) (x)

Answers

Answer:

(f/g)x = (x - 3)/(2x - 3). Step-by-step explanation: Try and see if f(x) can be factored. g(x) = (2x - 3) (2x + 3).

Step-by-step explanation:

Choose an expression for the input-output table. Next, using a variable for the value in the input column, determine the next two values in the table if the table were followed.

Answers

Option a, 2x + 1, 6 and 13, 7 and 15.

Here, we are given input-output table as shown in the figure.

To find the equation for this table let us look at each option one by one-

a. 2x + 1

Here if we take input x = 2

output = 2(2) + 1

= 5

If x = 3

output = 7

and if we check for other values also, 2x + 1 will satisfy.

Thus, 2x + 1 is the correct equation.

we can check the points as well-

if x = 6

output = 2(6) + 1 = 13

and if x = 7

output = 2(7) + 1

= 15

Since, we've found the correct answer in option a, we do not need to check the other options.

Thus, option a is the correct answer.

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