A teenager's heart pumps an average of 7200 L of blood every 24 hours. What is the rate of change of volume of blood?

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Answer:

Yes

With an extra 3000CHF

Step-by-step explanation:

In year 2005, the exchange rate was 1$ = 1.15CHF

The student came in with $20,000.

The amount he had in CHF(swiss franc) = ?

$1 = 1.15C

$20,000 = x CHF

X = (20000 × 1.15) / 1

X = 23,000CHF

When he came to Zürich in 2005, he has 23,000 swiss franc.

But the exchange rates changed in 2006 to C1.30 against the dollar.

$1 = 1.30CHF

$20,000 = xCHF

X = 26,000CHF

In 2006, he would've had 26,000CHF.

The difference between what he would've had in 2006 against 2005 is

26,000CHF - 23,000CHF = 3000CHF

He would've had an extra 3000CHF if he came in the year 2006.

Answer:

[tex]-6x+15<10-5x[/tex]

Step-by-step explanation:

[tex]-3(2x-5)<5(2-x)[/tex]

Distribute.

[tex]-6x+15<10-5x[/tex]

Add 5x and subtract 15 on both sides.

[tex]-6x-5x<10-15[/tex]

[tex]-1x<-5[/tex]

Multiply -1 on both sides.

[tex]x>5[/tex]

Answer:

its c the third equation and d the first graph.

Step-by-step explanation:

Answer:

diameter ≈12.7

Step-by-step explanation:

d= C/π so plug in what we know

39.88 ÷ 3.14 ≈ 12.7

Answer:

92

Step-by-step explanation:

Please use " ^ " to indicate exponentiation, ok?  Thank you.

If

ƒ(x) = 9x^2 + 27x + 2, and we are to find ƒ(2), substitute 2 for x"

f(2) = 9(2)^2 + 27(2) + 2

This becomes:

f(2) = 36 + 54 + 2 = 92

Answer:

x = 19,      x = 17

Step-by-step explanation:

(x-18) ^2 = 1

Take the square root of each side

sqrt((x-18) ^2) = ±sqrt(1)

x-18 = ±1

Add 18 to each side

x-18 +18 =18± 1

x = 18+1     x=18-1

x = 19,      x = 17

Answer:

(7x+7 )(x+1 )

Step-by-step explanation:

7x²+14x+7

(7x+7 )(x+1 )

7x²+7x+7x+7

7x²+14x+7

Answer: 7(1+x)^2

Step-by-step explanation: I got it wrong because of that person at the top your welcome

Answer:

Hard to calculate first one is -1/2

Next one is 2.5/1.5 or 2 its hard to tell because of line (not clear)

Next one is -1/2 I think the numbers are small.

You can sign up for Khan academy for clear answers

Answer:

156

Step-by-step explanation:

1) The formula for finding the sum of interior angles of an n-gon is 180(n-2)

2) Plug in 15 for n

180(15-2)

3) Solve

180(15-2)

180(13)

2340

4) There are 15 angles in a 15-gon

5) Divide sum of interior angles by number of interior angles

2340/15 = 156

6) So, the answer is 156 degrees

Answer:

Bisecting an Angle.

Step-by-step explanation:

This image shows the Bisection of an Angle. The 'x' shaped mark between the angle is formed when a protractor is used to mark the place in which a ray must pass through the center of the 'x' to be an equal bisection of the angle. This shows that the process that is being undergone is finding the bisection of the angle.

Answer:

bisecting an angle

just took the test!

Step-by-step explanation:

Answer:

n = 1 2/5

Step-by-step explanation:

-21 + 70n = 77

Add 21 to each side

-21+21 + 70n = 77 +21

70n = 98

Divide each side by 70

70n/70 = 98/70

n =98/70

n = 70/70 +28/70

n = 1 + 2/5

n = 1 2/5

Answer:

This would also be known as 7/5

Step-by-step explanation:

The person above included the mixed number but I just thought it would be nice to save some of the math for some people. Have a good day !!

Answer:

5/9 (F-32) = 25

Step-by-step explanation:

5/9 (F-32) = C

Multiply each side by 9/5

5/9 * 9/5 (F-32) =9/5 C

F -32 = 9/5 C

Add 32

F -32 +32 = 9/5 C +32

F = 9/5 C +32

We want 25 C to Fahrenheit

F = 9/5 *25 +32

F = 9*5 +32

F = 45+32

F = 77

Answer:

The volume of the oven is 75 ft^3

Step-by-step explanation:

Here, we are interested in calculating the volume of a Pizza Kitchen’s oven which is shaped like a rectangular prism.

Now, to calculate this volume, what we do is to simply multiply the area of the base by the height of the oven.

Mathematically, the area of the base of the oven is simply = L * B = 5 * 5 = 25 ft^2

Now to get the volume, we multiply this by the height = 25 * 3 = 75 ft^3

Answer:

[tex]x=log_{1.5}(\frac{y}{20})[/tex]

Step-by-step explanation:

Considering the function:

[tex]f(x) = 20\, (1.5)^x[/tex]

The independent variable is "x" and we are asked to model it in terms of the variable "y":

[tex]f(x) = 20\, (1.5)^x\\y=20\, (1.5)^x[/tex]

Then, in order to solve for x (which resides in the exponent), we need to use the logarithm function.

Since the base of the exponent is 1.5, we need to use the logarithm base 1.5, to lower that exponent "x":

[tex]y=20\, (1.5)^x\\\frac{y}{20} =(1.5)^x\\log_{1.5}(\frac{y}{20}) =x\\x=log_{1.5}(\frac{y}{20})[/tex]

Answer:

C) 18

Step-by-step explanation:

numbers are 100,101,90,93,94,94,95,81,86,87,89,70,72,76,69,56,58,49

Answer:

The system of equations does not have a solution.

Step-by-step explanation:

For example, imagine these two equations y = x + 7 and y = x + 9

Now substitute y in the second equation with the value from the first equation:

x + 7 = x + 9

x - x + 7 = 9

0 + 7 = 9

7 = 9.

That happens because the equations represent parallel lines, which do not have a common pair of points.

Answer:

The first choice, second choice, fifth choice are correct

Step-by-step explanation:

To get the first and second choices, you just need to count the number of boxes. For the fifth choice, you can see that the side lengths have been cut in half from the pre-image to image

Answer: [tex]9\pi[/tex]

Step-by-step explanation:

Area of a circle is [tex]\pi r^2[/tex], they give the radius 3. 3^2 is equal to 9

Answer:

7/20

Step-by-step explanation:

He tosses the dime 500 times and it lands on heads 325 times.

There are only two possibilities in a coin toss: Head or tails

This means that it lands on tails:

500 - 325 = 175

The theoretical probability of the dime landing on tails is:

175 / 500 = 7/20

Answer:

The concentration of HCl in the mixture is 1L of 50% HCl

Step-by-step explanation:

Here, we want to know the percentage of HCl present which refers to the its concentration.

Firstly, the total volume we have is 0.375 + 0.625 = 1 L

we can calculate the percentage as follows;

The percentage of the 25% present is 37.5%

while the percentage of the 75% present is 62.5%

When we say the percentage present, we are referring to the amounts of the total liters which is 1 present.

So the concentration of the final mixture will be;

(37.5% of 25) + (62.5% of 65)

= 9.375% + 40.625%

Adding both gives = 50%

So the concentration we have is 1L of 50% HCl

Answer:

[tex]\displaystyle y=2.4[/tex]

Step-by-step explanation:

[tex]{\displaystyle y\propto \frac{1}{x} }[/tex]

[tex]\displaystyle y=\frac{k}{x}[/tex]

[tex]\displaystyle 3=\frac{k}{4}[/tex]

[tex]\displaystyle 3 \times 4=k[/tex]

[tex]\displaystyle k=12[/tex]

[tex]\displaystyle y=\frac{12}{5}[/tex]

[tex]\displaystyle y=2.4[/tex]

Answer:

0.50

Step-by-step explanation:

The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.

Answer:

For Sarah's dogs, we have:

Morning:

39, 21, 12, 27, 23, 19, 19, 31, 36, 25

if the ranges are:

A) 10 pounds to 19 pounds: here we have the dog of 12, and two dogs of 19.

B) 20 to 29: one of 21 pounds, one of 27, one of 23 and one of 25, so here we have 4 dogs.

C) 30 to 39. here we have the left 3 dogs.

then the table is:

[tex]\left[\begin{array}{ccc}range&dogs\\10to19&3\\20to29&4\\30to39&3\end{array}\right][/tex]

For the afternoon, the weights of the dogs are:

15, 51, 8, 16, 43, 34, 27, 11, 8, 39

So the ranges:

0 to 9: here we have two dogs of 8.

10 to 19: 3 dogs, 15, 16 and 11.

20 to 29: 1 dog of 27

30 to 39: 2 dogs of 34 and 39

40 to 49: one dog of 43

50 to 59: one dog of 51.

the table is:

[tex]\left[\begin{array}{ccc}range&dogs\\0to9&2\\10to19&3\\20to29&1\\30to39&2\\40to49&1\\50to59&1\end{array}\right][/tex]

Answer:

No hate but Facundo your answer is so complicated

Step-by-step explanation:

what numbers does a,b,c represent and you have two tables but after abc I just don't understand can someone please help me?!? Thanks for answering it though.

Answer:

D

Step-by-step explanation:

Of these four functions, D is the only one that has an inverse.  The graph of D, which is F(x) = x + 3/7, passes the horizontal line test; the horizontal line intersects the graph of F(x) = x + 3/7 only once.

Answer:

210 ways

Step-by-step explanation:

In the question, the combination should be computed.

Number of ways of selection 6 flowers = nCr =10C6

                                           [tex]\frac{n!}{r!(n-r)!}[/tex]  =[tex]\frac{10!}{ 6!(10-6)!}[/tex]

                                                        =3628800/17280

                                                       =210

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

Answer:

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

Step-by-step explanation:

explanation

Answer: No slope

Step-by-step explanation: The line is going straight down.

Answer:

Step-by-step explanation:

A parallelogram is a quadrilateral with four sides.

Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.

Join D to B, the diagonal of the parallelogram which is also a traversal.

So that;

    <ABD = <BDC (alternate angle property)

    <BAC = <ACD (alternate angle property)

Also, diagonals;

      /AC/ = /BD/ (reflexive property)

Then;

      ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)

Thus;

     /AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)

    /BC/ ≅ /AD/  (corresponding sides of congruent triangles are congruent)

Therefore, the opposite sides of the parallelogram ABCD are congruent.