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:

Any value between 3 and 19 may be the measure of third side.

Step-by-step explanation:

If three sides of a triangle are a, b, and c, possible measures of the sides of a triangle will be.

1). a + b > c

2). b + c > a

3). a + c > b

If a = 8, b = 11,

1). 8 + 11 > c

   c < 19

2). 11 + c > 8

    c > 8 - 11

    c > (-3)

3). 8 + c > 11

    c > 11 - 8

    c > 3

Therefore, by combining the given inequalities,

3 < c < 19

Any value between 3 and 19 may be the measure of third side.

Answer:

34.06°

Step-by-step explanation:

25 is the length of the hypotenuse side and 14 is the length of the opposite side.

Therefore, you will need to use sine to work out the missing angle.

sinx = opp / hyp

sinx = 14 / 25

x = sin ^ -1 (14 / 25)

= 34.06°

Answer:

Degree

Five Degree

End Behavior

When x approaches negative infinity, f(x) approaches the negative infinity as well.

When x approaches positive infinity, f(x) approaches positive infinity.

Step-by-step explanation:

[tex]y = 4 {x}^{3} + 3 {x}^{5} - {x}^{2} - 2[/tex]

A five-degree polynomial function. Rearrange the terms.

[tex]y = 3 {x}^{5} + 4 {x}^{3} - {x}^{2} - 2[/tex]

Because it is an odd-degree function, the graph increases from negative infinity and ends by increasing at positive infinity.

Graph / End Behavior

When x approaches negative infinity, f(x) approaches the negative infinity as well.

When x approaches positive infinity, f(x) approaches positive infinity.

Answer:

The formula for total earning is T = £22h

Step-by-step explanation:

Given that:

Per hour earning of Tom = £10

Per hour earning of Tom's wife = £10 + £2 = £12

Let,

T represent their total earnings

h be the number of hours

Total earnings = (Tom's per hour earning + His wife's per hour earning) * Number of hours

T = (£10+£12)h

T = £22h

Hence,

The formula for total earning is T = £22h

Answer:

-x+y= -14 (get this equation to where you can easily plug it in for a variable)

y= x -14

5x +6y =26 (plug the value above in for y and then solve)

5x + 6 (x-14) = 26 (use the distributive property)

5x +6x - 84 = 26 (combine like terms on the left side)

11x - 84 =26 (add 84 to both sides)

11x = 110 (divide both sides by 11 to isolate the x-variable)

x= 10 (this is the value for x. plug it into the easier equation and solve)

-(10) +y = -14

y= -4

(10, -4) (this is the solution for the system of equations)

Answer:

there are ten (10) 2/5 in 4 .

Answer:

-0.123

Step-by-step explanation:

...............

Answer:

Step-by-step explanation:

4s+3+2s+1=6s+4

Answer:

1)

D. 3:2

2)

B. 40%

as, no. of girls=8

total no. of students =12+8=20

now,

percentage of girls=no.of girls/total no. of students ×100%

=8/20×100%

=40%

Answer:

n<8

Step-by-step explanation:

Answer: N < 8

Step-by-step explanation:

Answer:

I think it is C

Step-by-step explanation:

The first two options are correct. The third one is false.

Answer:

C.). (–2,3)

Step-by-step explanation:

This solution is on the graphed line, so it is a solution.

If we substitute values from the other coordinates given, all below the line, the results are false

Answer:

slope- 2

y int- -5

Step-by-step explanation:

Answer:

3 and 7

Step-by-step explanation:

Answer:(b) step 1

Step-by-step explanation:

The wrong step in the student's workings is step 1

The equation is given as:

x^2 - 2x - 8 = 0

Expand the equation

x^2 + 2x - 4x - 8 = 0

Factorize the equation

x(x + 2)- 4(x + 2)

Factor out x + 2

(x - 4)(x + 2) = 0

The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0

This means that the step 1 of the student's step is wrong and incorrect

Read more about equations at:

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Answer:

1/3

Step-by-step explanation:

Use the elimination method.

15x - 12y = 13

30x + 9y = 4

If you add both equations you will not cancel out any variables, so you need to multiply one of the equations by something. Multiply the first equation by -2 to cancel out the x values.

-2(15x - 12y = 13)

30x + 9y = 4

You should have these two equations now:

-30x + 24y = -26

30x + 9y = 4

Add them together now. You should get this now.

33y = -22

Divide both sides by 33. You should get y = -2/3

Now, substitute the y value into any of the two equations that you started with. Let's substitute the y value for the second equation.

30x + 9 (-2/3) = 4

30x - 6 = 4

30x = 10

30     30   (divide 30 and 10 by 30)

x = 1/3

Answer:

12

Step-by-step explanation:

Key word: Most likely

First try to find the constant of proportionality

8/2= 4

4/4= 1

20/5=4

24/6=4

Since it says most likely we would say the constant of proportionality is 4.

Since they are asking for 3 homes runs we will do 3 times 4

[tex]3[/tex]×[tex]4=12[/tex]

The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Finding the constant of proportionality :-

8/2= 4

4/16= 4

20/5=4

24/6=4

Since, the constant of proportionality is 4.

And, they are asking for 3 homes runs we will do 3 times 4

Therefore, 3 x 4 = 12

Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

Learn more about constant of proportionality click;

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Answer:

it would be 3 in the first box and 24 in the other

Step-by-step explanation:

because the ratio is 3 years to 24 montsh most of the time the larger number is on the left and the smaller number is on the right and 3 years is more than 24 months 24 months is only two years

Answer:

-x^3 + 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2-9x + 8x-5-1

Step-by-step explanation:

Here, we want to have an expression of at least ten terms which when simplified would give polynomial

We have the expression as

x^3 - 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2+ 2x^2-9x + 8x-5-1

Answer:

the answer is 22

you can put it on a calculator

Answer:

I think it might be e=5h someone please correct me if I'm wrong

Step-by-step explanation:

Answer:

e = 5h

Step-by-step explanation:

To find the unit rate (money earned per hour), we divide 10 by 2, which gets us 5. That means $5 is earned per house. If h is the number of houses shoveled, and he earns $5 per house, we can write that as 5h. If e is the money earned, we can write this whole thing as e = 5h.

Answer:

It's 2

Step-by-step explanation:

Hope this helps

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Work Shown:

EI = EG

3y-10 = 2y

3y-10-2y = 0

y-10 = 0

y = 0+10

y = 10

Note how if y = 10, then

Both EI and EG are 20 units long when y = 10. This confirms the answer.

Answer:

1)-9x^5 + 7x^2 + 3    2)  -2x2 • (x - 7)      3)  -23v^2 + 7v + 4    4) is just 7x

Answer:

Becky

Step-by-step explanation:

Look at it.... i mean 21:35 is the greatest in fraction, decimal and percentage.

Answer:

it's answer is C 0.8

hope it helps you