MODELING REAL LIFE The diagram shows the number of quarts of blood the
human heart pumps per minute,
Pumps 5
quarts of
blood per
minute
a How many quarts of blood does the human heart pump per hour?
quarts per hour
b. How many liters of blood does the human heart pump per minute?

Answer:

5.4

Step-by-step explanation:

Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)

Step 2: Divide the length you took from PQRS by the length you took from ABCD.

Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8

Therefore, x = 5.4.

Answer:

5.4

Step-by-step explanation:

Look at photo for explanation

Answer:

Step-by-step explanation:

4 magazines, and each magazines has 13 bullets:

4 bullets for each person:

Answer:

The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.

Answer:

1st option

Step-by-step explanation:

cosU = [tex]\frac{asjacent}{hypotenuse}[/tex] = [tex]\frac{UV}{UW}[/tex] = [tex]\frac{15}{17}[/tex]

Answer:

First of all, let's multiply both sides by 5, clearing the denominators:

Then, as long as g is not zero, we can divide by g, and let's read right to left:

At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:

If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.

Given that

[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]

Answer:

(2, - 3 ) and (3, - 3 )

Step-by-step explanation:

f(x) = x² - 5x + 3 and f(x) = - 3 , then equating

x² - 5x + 3 = - 3 ( add 3 to both sides )

x² - 5x + 6 = 0 ← in standard form

(x - 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solutions are (2, - 3 ) and (3, - 3 )

The statement that is true about a rhombus that is not true about all parallelograms are as follows;

Diagonals of a rhombus are perpendicular bisector of each other. This means they form a right angle where they intersect.

This is not true for parallelograms. The diagonal only bisects each other.

All sides are congruent for a rhombus .

This is not true for a parallelogram. Only opposite sides are congruent for a parallelogram.

The diagonal bisect the vertex angles of the rhombus.

This is not true for a parallelogram.

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Answer:

The answer is 8!

Step-by-step explanation:

I took the quiz. Have a great day, hope this helps!

Answer:

115°

Step-by-step explanation:

From E to B is 180°.

So when looking at angle ACB we get 65°

The angle ACE is equal to 180° - °65 = 115°

To show this is correct we have to add ACE and ACB and that should equal 180° which is true.

Answer:

115°

Step-by-step explanation:

normally straight lines are 180°

so angle ACF is already 90°

to find E, we need to subtract the 90°and the 65°

here it is: 180-(90+ 65)

= 25°

so finally ACE = 90° + 25°

= 115°

;)

Answer:

Undefined

Step-by-step explanation:

I always like to take a good look at the points before I go about solving for the line. To me, it looks like this is going to be a vertical line. Why do I think that? Well, for each point, the x-value is -5. Since this is a linear function, every other point must also have an x-value of -5. So, our line would be straight up and down, going through the x-intercept (-5, 0). Let's try out this theory by subtracting our y-values and then our x-values, then dividing:

[tex]\frac{4-1}{-5-(-5)} =\frac{3}{-5+5} =\frac{3}{0}[/tex]

And that makes sense! Functions that show up as vertical lines are undefined, since their slopes always have 0 as a denominator, and anything divided by 0 turns out to be undefined. So, that's our answer - the slope is undefined.

Hopefully that's helpful! :)

Answer:

undefined

Step-by-step explanation:

(-5, 1) and (-5, 4) lie on the same vertical line.

A vertical line has undefined slope.

Answer:

y = (1/8)x

Step-by-step explanation:

The relevant basic formula is y = kx, where k is the constant of proportionality.

We must find k.  To do this, let y = 15/6 and x = 20 in the above formula:

15/6 = k(20)

We solve for k by dividing both sides by 20:  15/(6*20) = k = 1/8

Then the specific formula for this situation is y = (1/8)x

Answer:

Perimiter would be 30cm

Step-by-step explanation:

3+3+6+3+6+3+6

Answer:

The company filled 454570 bags.

Step-by-step explanation:

Answer:

A) [tex]f(x)=5120(1.25)^x[/tex]

B) [tex]f(x)=4800(1.5)^x[/tex]

C) see below

Step-by-step explanation:

Part A

Hopefully this formatting looks ok:

| Weeks x | Views f(x) |

| ------------ | -------------- |

|      0        |     5120     |

|       1        |     6400    |

|      2        |     8000    |

|      3        |     10000   |

|      4        |     12500   |

|      5        |     15625   |

| ------------ | -------------- |

That's my attempt at a table.

We need an equation in the form of:

[tex]f(x)=a(b)^x[/tex]

where a is the starting value and b is the growth factor.

First, check the difference between each week:

[tex]6400 - 5120=1280\\8000 - 6400=1600\\10000 - 8000=2000\\12500 - 10000=2500\\15625 - 12500=3125\\[/tex]

Then, check the scale factor for each of the differences:

[tex]16000\div 12080 = 1.25\\2000\div 1600=1.25[/tex]

etc..

The difference grows by 1.25x each week. That is, a grow factor of 1.25.

Now that we have both the starting value and the grow factor, we can write the equation:

[tex]f(x)=5120(1.25)^x[/tex]

If you want to test it, for example, calculate for the 3rd week:

[tex]f(3)=5120(1.25)^3\\f(3)=5120(1.953125)\\f(3)=10000[/tex]

Part B

This is very similar to Part A. The starting value and growth factor are given this time, so all you need to do is write the equation with the new values.

[tex]f(x)=4800(1.5)^x[/tex]

Part C

The initial number of video views (5120) was more than the initial number of site views (4800), and the number of video views grew (1.25) by a smaller factor than the number of site visits (1.5).

The difference between the total number of site visits and the video views after 5 weeks is 20,825.

[tex]f(5)=5120(1.25)^5=15625 -video\\f(5)=4800(1.5)^5=36450-site\\36450-15625=20825[/tex]

The equation to model the relationship between the number of weeks and the number of views will be f(x) = 5120(1.25)^x

From the information given, the difference in the views will be:

6400 - 5120 = 1280

8000 - 6400 = 1600

10000 - 8000 = 2000

The scale factor will be:

= 1600/1280 = 2000/1600

= 1.25

Therefore, the growth factor is 1.25.

The equation to model the relationship between the number of weeks, x, and the number of site visits is 4800(1.5)^x.

Lastly, the difference between the total number of visits and the video views will be:

= 4800(1.5)^5 - 5120(1.25)^5

= 36450 - 15625

= 20825

Learn more about equations on:

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Answer:

between 7.0 and 9.0 hours of sleep

Step-by-step explanation:

got it right

Answer:

okkkkkkkķkkkkkkkkkkkkk

Answer:

Step 1: Remove parentheses by multiplying factors.

= (x * x) + (1 * x) + (2 * x) + (2 * 1)

Step 2: Combine like terms by adding coefficients.

(x * x) = x2

(1 * x) = 1x

(2* x) = 2x

Step 3: Combine the constants.

(2 * 1) = 2

Step 4: Therefore, Simplifying Algebraic Expression is solved as

= x2 + 3x + 2.

Step-by-step explanation:

A cube is 3- dimensional shape with 6 equal sides, 6 faces, and 6 vertices in geometry. ... In 3 – dimension, the cube's sides are; the length, width, and height.

Answer:

link

Step-by-step explanation:

Answer:

Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"

Thus said.

[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]

Last one, if you already talked about log properties, can be handled as:

[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]

Answer:

B. 2x-3

Step-by-step explanation:

14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.

Answer:

9 pounds

Step-by-step explanation:

you can use cross multiplication to find 10percent of 10 pounds, then subtract this from 10 pounds

Answer:

1 1/2 and -5 1/2

Step-by-step explanation:

if you add 3 1/2 to -2 you get 1 1/2

if you subtract 3/12 from -2 you get -5 1/2

Answer:

To make an inequality its in the part that is shaded so

Step-by-step explanation:

(-2,-2) (-4,1) ETC

Answer:

C) (12x-5)(2x-1)

Step-by-step explanation:

12x multiplies 2x to give 24x²

then 12x multiply -1 to give -12x

then -5 multiply 2x to give -10x

then -5 multiply -1 to give 5

that will be 24x²-12x-10x+5

our and =24x²-22x+5

Answer:

Step-by-step explanation:

Numbers: HCF of 18 and 30

18: 2 * 3 * 3

30:2 * 3 * 5

HCF: 2 and 3 = 6

a: a * a and a.

HCF = a

b: b

c: c and c*c

HCF: C

Answer: 6*a*b*c(3a + 5*c)

Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.

Step-by-step explanation:

x = price per video game

y = price per CD

164 = 5x + 3y

and then we know

x = y + 12

now we can use this as substitute in the first equation :

164 = 5(y + 12) + 3y = 5y + 60 + 3y = 8y + 60

104 = 8y

y = $13

x = y + 12 = 13 + 12 = $25

so, each CD costs $13.

Answer:

Option A (3/4)

Step-by-step explanation:

Please mark Brainliest

Answer:

THATS CORREC T

Step-by-step explanation:

CAUSE A IS THE RIGHT ONE THE REST BIS WRONG BUT IT CAN E CONFUSING

Answer:

the last one none over lap

There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Let x represent the number of 20 cent ($0.2) coins

i) Since there are 35 coins in total:

Number of 50 cent coins = 35 - x

ii) The total value of the coins is $13.90. Hence:

0.2x + 0.5(35 - x) = 13.90

iii) 0.2x + 17.5 - 0.5x = 13.90

0.3x = 3.6

x = 12

Number of 50 cent coin = 35 - x = 35 - 12 = 23

Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

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Answer:

$24.75

Step-by-step explanation:

$8.25 is for 3. So triple that cost gets you $24.75