21 The average person at rest takes approximately 16 breaths per minute. Approxir many breaths do they take in 70 years of 365 days each? Use a calculator. Write in exponential notation using powers of 10.​

The ages will be:

Henry's weight = 38kg

David =35kg

Peter = 50 kg

Let Henry's weight be represented by x

David is 3kg lighter. This will be x-3.

Peter is 15kg heavier. This will be:

= x-3 + 15 = x +12

This will be:

x + x-3 + x + 12 = 123

3x + 9 = 123

3x = 123 - 9

3x =114

Divide

x = 114/3 = 38

Therefore, Henry's weight = 38kg

David =x - 3 = 38 - 3 = 35kg

Peter =35 + 15 50 kg

Learn more about weight on:

brainly.com/question/2337612

#SPJ1

Your answer is in the screenshot!

Answer:

Step-by-step explanation:

Answer:

f(-4) = - 64

f(3)  = - 15

f(-a) =  - 3a² - 4a

-f(a) =  3a² - 4a

f(a + h) = - 3a²  - 6ah - 3h² + 4a + 4h

Pay careful attention that you do not miss the negative signs in some of these terms

Step-by-step explanation:

The function is f(x) = -3x² + 4x

To evaluate the function at any value of x, simply substitute for x in the function expression

Answer:

One solution.

Step-by-step explanation:

2(x-1)=3(x-4)

2x - 2 = 3x - 12

-2 + 12 = 3x - 2x

10 = x.

Answer:  2/29

Step-by-step explanation: because he has 29 cookies in total therefor if he just randomly picks a cookie from the bag this would be 2/29 as he randomly chose 2 cookies out of 29 total cookie. we have no idea what he could have chose and all the cookies are mixed in a bag.

================================================

Explanation:

There are 7 sugar cookies

This is out of 9+6+7+7 = 29 total cookies

The probability of getting a sugar cookie is 7/29

After that cookie is selected, the total drops to 29-1 = 28 cookies. The probability of getting a chocolate chip on the second selection is 9/28

Multiply the fractions mentioned to get the final answer

(7/29)*(9/28) = (7*9)/(29*28) = (7*9)/(29*7*4) = 9/(29*4) = 9/116

Answer:

f×=×-2×+8=10×f=20xf=30×f

The location of the coordinate of the daycare is (3, -1.5)

The formula for calculating the midpoint of coordinate is expressed as;

M(x, y) = {(x₁+x₂/2, y₁+y₂/2)}

Given the coordinate points (4, -5) and (2, 5), on substituting, we will have:

M(x, y) = {(4+2/2, -5+2/2)}

M(x, y) = (6/2, -3/2)

M(x, y) = (3, -1.5)

Hence the location of the coordinate of the daycare is (3, -1.5)

Learn more on midpoint of coordinate here: https://brainly.com/question/18315903

#SPJ1

Answer:

2(x+7) more than(>) 6

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Thank me later

Answer:

42

Step-by-step explanation:

3 to 2 can be represented as 3/2. Remember the numerator represents stars while the denominator represents circles. Set up a proportion the criss multiply. This ratio would be 3/2 = x/28. First multiply 28 x 3 and set it equal to 2x. This gives you 84=2x. Divide 2 by each side and you will get 42 stars.

Elena's hair has grown in length overall net by. 1.81cm

It is given to us that the average rate at which  human hair grows is 1.27 centimeters per month.

Elena allowed her hair to grow for three months, so that's a given. Then she had her hair chopped short by 1.9 cm.

Elena's hair naturally grows at a typical rate.

First, we'll figure out how much Elena's hair has grown in three months, and then from that figure, we'll deduct the length that has been trimmed.

Elena's hair grew 3.x*1.27=3.81 cm in three months.

The amount of hair that was removed was 1.9 cm.

Elena's hair has grown in length by 3.81 cm over the course of three months, minus the length that has been chopped, for a total net growth of 1.91 cm.

Growth in 3 months less the length that was removed is 3.81 – 1.9 = 1.91 cm

Hence, the total net growth of Elena's hair is 1.81cm

Learn more about length of hair here:

https://brainly.com/question/2807631?referrer=searchResults

#SPJ9

If the ratio of the sides of the triangles ΔABC and ΔDEF are equal then the triangles are similar triangles. Then the correct option is B.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

A picture shows triangle ABC and triangle DEF.

Triangle ABC: Side AB is 3, Side BC is 5, and Side CA is 4.

Triangle DEF: Side DE is 6, Side EF is 10, and Side FD is 8.

The ratio of the sides of the triangles ΔABC and ΔDEF will be given below.

AB/DE=BC/EF=CA/FD

3/6=5/10=4/8=1/2

If the ratio of the sides of the triangles ΔABC and ΔDEF are equal then the triangles are similar triangles.

The diagram is shown below.

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

Two right triangles—A B C and D E F. The triangles ΔABC and ΔDEF are comparable triangles if the ratio of their sides is the same.

Given that,

Two right triangles—A B C and D E F. Triangle A B C has a side of 3, a side of 5, and a side of 4.

Triangle D E F: sides D and E , side E and F and side F and each 6, 10, and 8.

Because the angles are not provided, making it impossible to determine whether the triangles are identical is not comparable to.

We have to find which of the two triangles' respective claims is true.

Describe the triangle.

The polygonal shape known as a triangle has three sides and three angles. The sum of the triangle's angles is 180 degrees.

Triangle ABC and triangle DEF are depicted in an image.

Triangle ABC has sides AB at 3, BC at 5, and CA at 4.

Triangle DEF has sides.

Sides DE at 6; EF at 10; and FD at 8.

The triangles ΔABC and ΔDEF side ratio will be provided below.

AB/DE=BC/EF=CA/FD

3/6=5/10=4/8=1/2

Therefore, The triangles ΔABC and ΔDEF are comparable triangles if the ratio of their sides is the same.

To learn more about triangle visit: https://brainly.com/question/2773823

#SPJ1

Answer:a

Step-by-step explanation:

it is 2.2360679775 which is in between 2.01 and 2.24

Answer: a. between 2.01 and 2.24

Step-by-step explanation:

√4=2

√9=3

9-4=5

5-4=1

1/5=0.2

√5=

√(4+1)=

√4+0.2=

2+0.2=2.2 ==> between 2.01 and 2.24: a

Answer:

-3/4

Step-by-step explanation:

4y + 9 = 6

4y = 6-9 = -3

y = -3/4

The coordinates of S are (-1 , 11)

In the given statement is :

The coordinates of point T are ​(0​,4​). The midpoint of ST is ​(1​,−3​).

To find the coordinates of point S.

Now, According to the question:

Let the coordinate of point S are (x, y).

T (0, 4) is the mid point of ST

=> [tex]\frac{x+1}{2}=0 , \frac{y+(-3)}{2}=4[/tex]

=> x+1 =0 , y -3 = 8

=> x = -1 , y = 11

So, the coordinates of S are (-1 , 11)

Learn more about Coordinates and Mid- point at:

https://brainly.com/question/28279796

#SPJ1

The graph of the distance that Cordell moves between the home and the mailbox  and time period will be a repeating graph.

Let us assume that the distance between the lawn and the mailbox of Cordell is L.

He starts moving from his home towards the mailbox. After reaching the mailbox, he returns back to the home. Let say the time when he first returns back to his home is T₁.

The graph will show that the value of distance will first increase till L and after that he will come back to his home and the distance will decrease and become zero and the time period will be T₁. This show that he had return back to his home.

Similarly, the time well he again starts from his home and reaches till the mailbox and then again reaches to his home again is T₂. The graph is again plotted in the same manner as it was done in the first case.

It is because the distance L between mailbox and his home is same.

So, we can conclude that the graph will be a repeating graph. The shape of graph will be Saw-tooth like shape.

To know more about Distance time graph, visit,

https://brainly.com/question/23064526

#SPJ9

Answer: The first step in determining the solution to the system of equations algebraically is [-4,-2].

Step-by-step explanation:

Determining the solution to the system of equations,

so, y=-x²-4x-3 and y= 2x+5, algebraically is to set the two equations are equal to:

-x²-4x-3 =2x+5

Then the solve in this equation

To put all terms into the lest side of the equation and group the terms:

solve it:   -x²-4x-3-2x-5=0

-x²+(-4x-2x)+(-3-5)=0

-x²-6x-8=0

now you can multiply this equation by -1

x²+6x+8=0

and solve it using Quadratic equation

x(1,2)=[-b±√[tex]b^{2}[/tex]-4ac]/2a

replace with a=1,b=6,c=8 values

x(1,2)=[-6±√[tex]6^{2}[/tex]-4.8.1]/2.1

    x(1,2) =[-6±√4]/2

      x(1,2) =[-6±2]/2

      x(1,2) =[-4,-2]

The first step in determining the solution to the system of equations algebraically is [-4,-2].

Learn about more information https://brainly.in/question/5597925

#SPJ9

The scale factor that is most appropriate for the scale drawing is 1 centimeter to 50 meters. (Correct choice: E)

Scale factor are useful resources to make representations of huge and diminute representations of entire systems based on the application of length ratios defined below:

d / d' = r            (1)

Where:

Now we find the minimum reduction scale to fit the building in the paper.

Width

r' = 400 ft / 8.5 in

r' = 47.058 ft / in

Height

r' = 1,450 ft / 11 in

r' = 131.819 ft / in

The minimum reduction scale to fit the building in the paper is 131.819 ft / in (approx. 15.818 m / cm, that is 1 centimeter to 15.818 meters), that is, 1 centimeter to 131.819 feet. Then, the scale factor that is most appropriate for the scale drawing is 1 centimeter to 50 meters.

To learn more on scale factors: https://brainly.com/question/22312172

#SPJ1

Answer: step-by-step

Step-by-step explanation:

first one is paralell

second one is perpindicular

third one is neither

lmk if wrong, good luck!

The measure of the angle is 36° and its supplement is 144°.

The supplement of an angle is calculated by subtracting the value of the angle from 180°.

Given that the supplement of the angle is 4 times the angle.

Let us consider the value of the angle be x°.

Therefore the value of the supplement is 4x°

Now the sum of the two supplementary angles is 180°.

∴x° + 4x° = 180°

or, 5x° = 180 °

or, x° = 36°

Therefore the larger angle = 4x° = 4 × 36° = 144° .

Hence the angles are 36° and 144° .

To learn more about angle and supplement visit:

https://brainly.com/question/15295416

#SPJ9

Treating the amounts as Venn sets, we have that 161 students signed up for only Math, considering that 40 did not sign for any.

For this problem, we consider the following sets:

4 students had signed up for all three courses students, hence:

(A ∩ B ∩ C) = 4.

8 students had signed up for both a Math and Humanities, hence:

(B ∩ C) + (A ∩ B ∩ C) = 8

(B ∩ C) = 8.

18 students had signed up for both a Math and Language Arts, hence:

(A ∩ C) + (A ∩ B ∩ C) = 18

(A ∩ C) = 14.

9 students had signed up for both a Language Arts and Humanities, hence:

(A ∩ B) + (A ∩ B ∩ C) = 9

(A ∩ B) = 5.

36 students had signed up for a Humanities course, hence:

B + (A ∩ B) + (B ∩ C) + (A ∩ B ∩ C) = 36

B + 5 + 8 + 4 = 36

B = 19.

51 students had signed up for a Language Arts course, hence:

A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 36

A + 5 + 14 + 4 = 51

A = 28.

Considering that there are 279 students, and supposing 40 did not sign for any course, we have that:

A + B + C + (A ∩ B) + (B ∩ C) + (A ∩ C) + (A ∩ B ∩ C) + 40 = 279.

28 + 19 + C + 5 + 8 + 14 + 4 + 40 = 279

118 + C = 279

C = 161

161 students signed up for only Math, considering that 40 did not sign for any.

More can be learned about Venn sets at https://brainly.com/question/24388608

#SPJ1

The true statement is that C.  Events A and B are not independent because P(A|B) ≠ P(A).

The probability that Roger wins a tennis tournament (event A) is 0.45 i.e. P(A)=0.45

The probability that Stephan wins the tournament (event B) is 0.40 i.e. P(B)=0.40

It should be noted that if A and are independent events, then P(B|A) = P(B). This isn't possible in this situation.

Therefore, the true statement is that events A and B are not independent because P(A|B) ≠ P(A).

Learn more about probability on:

https://brainly.com/question/314763

#SPJ1

The probability that Roger wins a tennis tournament (event A) is 0.45, and the probability that Stephan wins the tournament (event B) is 0.40. The probability of Roger winning the tournament, given that Stephan wins, is 0. The probability of Stephan winning the tournament, given that Roger wins, is 0. Given this information, which statement is true?

1.Events A and B are independent because P(A|B) = P(A).

2.Events A and B are independent because P(A|B) ≠ P(A).

3. Events A and B are not independent because P(A|B) ≠ P(A).

4. Events A and B are not independent because P(A|B) = P(A).

The output values of ​ ​h(​-8), ​h(1​), ​h(3​), and ​h(8​) in the given piecewise function are 16, 3, 11 and 16 respectively.

Given the piecewise function in the question;

                    -4x - 16, for x < -7

                     x + 8,   for x ≥ 3

Determine the output value of h(-8), -8 falls in the domain of x < 7,

Hence;

h(x) = -4x - 16

h(-8) = -4(-8) - 16

h(-8) = 32 - 16

h(-8) = 16

Determine the output value of h(1), 1 falls in the domain of -7 ≤ x < 3,

Hence;

h(x) = 3

h(1) = 3

Determine the output value of h(3), 3 falls in the domain of x ≥ 3,

Hence;

h(x) = x + 8

h(3) = 3 + 8

h(3) = 11

Determine the output value of h(8), 8 falls in the domain of x ≥ 3,

Hence;

h(x) = x + 8

h(8) = 8 + 8

h(8) = 16

Therefore the output values of ​ ​h(​-8), ​h(1​), ​h(3​), and ​h(8​) in the given piecewise function are 16, 3, 11 and 16 respectively.

Learn more about piecewise function here: brainly.com/question/12700952

#SPJ1

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{9n - 50 = 4}[/tex]

[tex]\large\text{Add 50 to both sides:}[/tex]

[tex]\mathsf{9n - 50 + 50= 4 + 50}[/tex]

[tex]\large\text{Simplify it:}[/tex]

[tex]\mathsf{9n = 4 + 50}[/tex]

[tex]\mathsf{9n = 54}[/tex]

[tex]\large\text{Divide 9 to both sides:}[/tex]

[tex]\mathsf{\dfrac{9n}{9} = \dfrac{54}{9}}[/tex]

[tex]\large\text{Simplify it:}[/tex]

[tex]\mathsf{n = \dfrac{54}{9}}[/tex]

[tex]\mathsf{n = 6}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{n = 6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

0

Step-by-step explanation:

y intercept means that the x is 0, so we make the equation like this:

-2y = -5x
-2y = -5(0)

y = 0/-2

y = 0

The Total cost of 2 small and 3 large greeting cards is $16.65.

The Total cost of x small and y large greeting cards is $2.10x+$4.15y.

Given

Cost of the small greeting card =$2.10.

Cost of the large greeting card =$4.15.

We have to find the Total cost of 2 small and 3 large greeting cards and the total cost of x small and y large greeting cards.

First, we will find the Total cost of 2 small and 3 large greeting cards

Cost of 3 small greeting cards=2[tex]\times\\[/tex]2.10 =$4.2

Cost of 4 large greeting cards=3[tex]\times[/tex]4.15=$12.45

Total cost=$4.2+$12.45=$16.65

Therefore, the Total cost of 2 small and 3 large greeting cards is $16.65.

Now, the total cost of x small and y large greeting cards

Cost of x small greeting cards=x[tex]\times\\[/tex]2.10 =$2.10x

Cost of y large greeting cards=y[tex]\times[/tex]4.15=$4.15y

Total cost=$2.10x+$4.15y

Therefore, the Total cost of x small and y large greeting cards is $2.10x+$4.15y.

To learn more about cost visit: https://brainly.com/question/15135554

#SPJ1

Total cost, 2 small greeting cards and 3 large greeting cards: 16.65

Total cost, x small greeting cards and y large greeting cards: 2.10x+4.15y

Answer:

9.25 Meters

Step-by-step explanation:

a square has 4 sides so:

37 divided by 4= 9.25 or 9 1/4

The money earned on friday is $1586 and on sunday is $1960.

A linear equation in one variable is an equation that has only one solution and is expressed in the form ax+b = 0, where a and b are two integers and x is a variable.

Let us assume the money generated by Friday game is 'F'.

Let us assume the money generated by Sunday game 'S'.

The two games together earn $3546.00 for the team.

Equation will become;

F + S = 3546.00    ........(equation 1)

Friday's game generates $374.00 less than Sunday's game. Thus,

F = S - 374.00

Since, F = S - 456.50 use the substitution method and put this value in equation 1.

(S - 374.00) + S = 3546.00

Simplifying the equation;

2S  = 3546.00 + 374.00

2S = 3920

S = 1960.

Put this value in equation 1 and find F.

F + S = 3546.00

F + 1960 = 3546.00

F = 1586.

Thus, the money generated on friday is $1586 and on sunday is $1960.

To know more about linear equation in one variable, here

https://brainly.com/question/85774

#SPJ9

The order of the number from the least to the greatest is -2 3/5, 10/3,3.9, 3 7/5, 20.

A rational number is a number that can be expressed as the fraction of two numbers in which the decimal is not zero. A rational number can be positive or negative. An example of a rational number is 3, -1.2.

An irrational number is a number that cannot be expressed as the fraction of two numbers. An example of a irrational number is 1/3, 22/7.

In order to order a number, all the numbers should have the same form. Thus, all the numbers would be converted to decimals where possible.

-2 3/5 = -2.6

10 /3 = 3.33

3 7/5 = 4.5

In order to order the numbers, note that the farther a negative number is from zero the smaller the number is and the farther a positive number is to zero, the greater the number is.

To learn how to order numbers, please check: https://brainly.com/question/28588729

#SPJ1

The line that is the perpendicular bisector of the segment is 12x - 2y= 13

The endpoints of the segment are

R(-1, 6) and S(5, 5)

Calculate the midpoint of the above segment using

RS = 1/2 * (x1 + x2, y1 + y2)

So, we have

RS = 1/2 * (-1 + 5, 6 + 5)

This gives

RS = (2, 5.5)

Calculate the slope of the segment using

Slope RS = (y1 - y2)/(x1 - x2)

So, we have

Slope RS = (5 - 6)/(5 + 1)

This gives

Slope RS = -1/6

The slopes of perpendicular lines are opposite reciprocal

This means that the slope of the perpendicular bisector is

m = -1/Slope RS

So, we have

m = -1(-1/6)

Evaluate

m = 6

The line that is the perpendicular bisector of the segment is calculated as

y = m(x - x1) + y1

Where

(x1, y1) = Midpoint RS = (2, 5.5)

So, we have

y = 6(x - 2) + 5.5

Evaluate

y = 6x - 12 + 5.5

y = 6x - 6.5

Multiply through by 2

2y = 12x - 13

Rewrite as

12x - 2y= 13

Hence, the line that is the perpendicular bisector of the segment is 12x - 2y= 13

Read more about linear equations at

https://brainly.com/question/14323743

#SPJ1