A study by a group of cardiologists determined that maximal heart rate in humans, a parameter used as a basis for prescribing exercise programs, depends on age. Maximal heart rate is around 201 beats per minute for a 10-year-old, and decreases at a constant rate of 7 every 10 years. Which of the following inequalities best describes the ages, for which maximal heart rate is less than 180, a is >or equal to 10.. HELP

Answer:

Step-by-step explanation:

The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;

(3x+5)° + 37° = 90°

open the parenthesis

3x+5 + 37° = 90°

3x+42 = 90

subtract 42 from both sides of the equation

3x+42-42 = 90-42

3x = 48

Divide both sides of the resulting equation by 3;

3x/3 = 48/3

x = 16

Hence the value of x is 16°

Answer:

The ratio is   k  =   2.76 pounds /  foot

Step-by-step explanation:

From the question we are told that

   For  1 m  height  =>  4.10 kg mass

generally  1 meter = 3.28084 feet  

Also

  1 kg  = 2.20462 pound

  4.10 kg  =  x pounds

So

      [tex]x = \frac{4.10 * 2.20462}{1 }[/tex]

=>    [tex]x = 9.04 \ pounds[/tex]

So

        9.04 pounds  = 3.28084  feet  

         z pounds  =  1 foot

So  

       [tex]z = \frac{ 9.04 * 1 }{ 3.28084}[/tex]

=>   z = 2.76 pounds

So the ratio is in pounds per foot is

      k  =   2.76 pounds /  foot

Answer:

1) 3( 2) - 1 = 6 - 1 = 5

2) 2(-1) - 3+4(-1) = -2 -7 = -9

3) 4^2-6(4)=9 = 16-24=9, = -8=9

Answer:

I guess answer is true but not sure

Answer:

The answer is false. Complementary and supplementary angles DO NOT HAVE TO share a vertex or a side but they CAN be.

Answer:

Step-by-step explanation:

|p|=12

p=±12

Answer:

1. x=6, 2. x=14 3. x= -2, and 4. x=6.5

Step-by-step explanation:

1. 120=20x, x=6.

2. 47=2x+19, x=14

3. 4x+3=2x-1, x= -2

4. 3x+4+7x+11=180, x=6.5

Answer:

0.13 is irrational

Step-by-step explanation:

these two numbers are clearly between 0.12 and 0.13

Answer:

m = -2 which is the slope

b = 2 which is the intercept of the line.

Step-by-step explanation:

We have that the line must pass through the following points (-9, -7). These two points are any two of the numerous points that pass through the straight line.  We can designate variables to each of these points as shown below

Let us take our [tex]y_1 = -7[/tex] and [tex]x_1 = -9[/tex]

Given the slope as [tex](y-y_1)/(x-x_1)=-2[/tex]

[tex](y--7)/(x--9) = -2[/tex]

[tex](y +7)/(x+9) =-2[/tex]

[tex]y +7 = -2(x+9)[/tex]

[tex]y =-2x+2[/tex]

We are given the form:  y=mx+b.

we can compare this with our equation for the line. [tex]y =-2x+2[/tex]

We can see that m = -2 which is the slope and b = 2 which is the intercept of the line.

Answer:

[tex]d = \frac{C}{\pi}[/tex]

Step-by-step explanation:

[tex]C= \pi d\\[/tex]

Isolate d ; Divide both sides of the equation by [tex]\pi[/tex]

[tex]\frac{C}{\pi} = \frac{\pi d}{\pi }[/tex]

Simplify

[tex]\frac{C}{\pi} = d\\\\d = \frac{C}{\pi}[/tex]

Note; Another formula for d(diameter) =

[tex]2\times radius[/tex]

Answer:

3 hours

Step-by-step explanation:

49-28=21

21/7=3

Answer:

x = 6, y = 8

Step-by-step explanation:

First, we need to find the scale factor from the smaller polygon to the larger polygon. To do this, we can calculate 18 / 12 which is 1.5. Therefore, we can write the following equations:

x · 1.5 = 9 → x = 6

y · 1.5 = 12 → y = 8

Answer:

6

Step-by-step explanation:

got it right

Answer:

e

Step-by-step explanation:

Answer:

2401 is your answer hope this helps

Answer:

23) 7b+14

yea I guess the rest remain the same

I think 9,6 is right answer

Answer:

2 yards because 3 is divided by 6

Answer:

(-4, 7)

Step-by-step explanation:

The x and y coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

-1 = (2 + x) / 2

-2 = 2 + x

x = -4

5 = (3 + y) / 2

10 = 3 + y

y = 7

The coordinates of point S are therefore (-4, 7).

We will use the segment addition postulate.

PQ + QR = PR

4x - 1 + 3x - 1 = 54

7x - 2 = 54

7x = 56

x = 8

So QR is 3(8) - 1 or 24 - 1 which is 23.

Answer:

QR is 23

Step-by-step explanation:

Answer:

x ≥ x/y

Step-by-step explanation:

It somehow varies with variation.

Answer:

1) mass divided by volume

Step-by-step explanation:

Answer:

1. Mass Divided By Volume

Step-by-step explanation:

D = M / V

Density is equal to mass. (In any form such as: grams, pounds or another unit)

Answer:

16 miles

Step-by-step explanation:

From the question given above, the following data were obtained:

Miles per week for training = 26 miles.

In the 5th week:

Ratio of miles ran to miles Walked is 8:5

Thus, we can obtain the miles ran by Nash in the 5th week as follow:

Ratio ran = 8

Ratio walked = 5

Total ratio = 8 + 5 = 13

Miles per week for training = 26 mile

Mile ran in the 5th week = 8/13 × 26

Mile ran in the 5th week = 8 × 2

Mile ran in the 5th week = 16 miles

Therefore, Nash ran 16 miles in the 5th week of training.

Answer:

-2°F

Step-by-step explanation:

The starting temperature was -17°F. If the temperature rose 5°F per hour, and we're looking for the temperature after three hours, the change in temperature was +15°F.

-17 + 15 = -2°F

Answer:

c the 3rd one

Step-by-step explanation:

hope this helps you.

Answer:

[tex]m \geq 1166[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$24[/tex]

[tex]Charges = \$0.06[/tex] per minute

[tex]Least\ Monthly\ Charges = \$93.96[/tex]

Required

Determine the possible number of minutes

If for 1 minute, he's charged $0.06;

He'll be charged $0.06m for m minutes

Representing this as an inequality, we have:

[tex]Base\ Amount + m\ Charges \geq\ Least\ Monthly\ Charges[/tex]

[tex]24 + 0.06m \geq 93.96[/tex]

Solve for 0.06m

[tex]0.06m \geq 93.96 - 24[/tex]

[tex]0.06m \geq 69.96[/tex]

Solve for m

[tex]m \geq 69.96/0.06[/tex]

[tex]m \geq 1166[/tex]

This implies that, he's charged for at least 1166 minutes

Answer:

[tex]\boxed {\tt \$15.75 \ per \ hour}[/tex]

Step-by-step explanation:

We want to find Jean's hourly pay rate. In other words, his pay per hour.

We can find the pay rate by dividing the money he is paid by the number of hours worked.

[tex]pay \ rate =\frac{money \ paid }{hours}[/tex]

He is paid $630 for 40 hours.

[tex]money \ paid= $630 \\hours= 40\ hours[/tex]

[tex]pay \ rate = \frac{\$630}{40\ hours}[/tex]

Divide.

[tex]pay\ rate = \$15.75 / hour[/tex]

His hourly pay rate is $15.75 per hour.

Answer:

1/3

Step-by-step explanation:

its 1/3 for every chore soooo      1/3 then  2/3   then 3/3

Answer:

B. segment AG is congruent to segment OL

Step-by-step explanation:

Answer:

Kay has 7 blue balloons

Step-by-step explanation:

if Sal has 5 red balloons and 2 blue balloons and Kay has 5 more blue balloons than Sal the Kay has 7 blue balloons

The number of blue balloons does Kay have is 7.

Given that, Sal has 5 balloons. He has 3 red balloons. The rest are blue.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of blue balloons does Kay have be x.

Number of blue balloons Sal have = 5-3=2

The number of blue balloons does Kay have = Kay has 5 more blue balloons than Sal

⇒ x = 2+5 = 7

Therefore, the number of blue balloons does Kay have is 7.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ5

Answer:

1

Step-by-step explanation:

I would think (I'm not sure, but it's an idea)

[tex]\frac{x^{2} +2}{x^{2} -1} =\frac{x^{2} -1+1+2}{x^{2} -1}\\\\=\frac{(x^{2}-1) +3}{x^{2} -1}=\frac{x^{2} -1}{x^{2}-1}+\frac{3}{x^{2} -1}\\\\=1+\frac{3}{x^{2} -1}[/tex]

so when x becomes bigger and bigger

the

[tex]\frac{3}{x^{2} -1}[/tex]

will become smaller and smaller

to a point that it's practically 0

so the limit is 1