The unitary method is used to find the unit value of any quantity.
(a)The human heart pumps 300 quarts/hour.
(b) The human heart pumps 4.730 liters/minute.
What is Unitary method ?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
Reading on the label is 5quarts/min.
Since, 60 min = 1 hour
Use unitary method to get,
1 min = 1 / 60 hour.
Therefore, pumping of blood in quarts/hour = 5 / (1 / 60)
= 5 × 60
= 300
Since, 1 quart = 0.946 liter
The pumping of blood in liter/minute = 0.946 × 5
= 4.730.
Hence, the human heart pumps 300 quarts of blood per hour and 4.730 liter of blood per minute.
To know more about unitary method click on,
https://brainly.com/question/28276953
#SPJ1
Bro could i get some help
Answer: wow that’s a lot of stuff
Step-by-step explanation:
Noice profile pic
What is the factorization of the trio mail below?
4x^2+28x+48
Answer:
Solution in photo
Step-by-step explanation:
What is an equation of the line that passes through the points (5,2) and (-5, -6)?
Answer:
y=4/5x+2
Hi! first things first, you want to find the slope. you do that by taking both y values, in this case they are 2 and -6.
then, you need to identify the two 2 x values, 5 and -5.
next, follow this formula: Y2-Y1/X2-X1. y value#2 is -6, and y value#1 is 2. subtract those numbers, to end up with -8. this will go on top of the fraction. x value#2 is -5, x value#1 is 5. subtract (=-10) and put it on the bottom of the fraction.
now you have your slope! we now have y= -8/-10, or simplified is 4/5.
Now we find the y intercept. to do that, you want to pick a set of points. i'm going to be using (5, 2) because it will be the easiest.
lastly, set up the equation to find the y int: y- y1= m (x- x1)
y- 2= 4/5 (x- 5) = 2
What is the next number in the sequence below?
128, 64, 32, 16,?
O A. 6
OB. 8
O c. 10
O D. 32
Work out
a) 2/7+3/7
b)5/8+7/8
c) 2/3-1/2
Answer:
a)5/7
b)12/8 or 1 4/2 or 1/2
c)1/6
Step-by-step explanation:
A thin rectangular sheet of metal is 6 inches wide and 10 inches long. The sheet of metal is to be rolled to form a cylinder so that one dimension becomes the circumference of the cylinder and the other dimension becomes the height. What is the volume of the largest possible cylinder formed
Answer:
Length of the Rectangle is to be considered as the circumference of the resulting cylinder and the width of the rectangle should be considered as the height of the cylinder only then we get the maximum volume of the cylinder which is 47.77[tex]in^3[/tex]
Step-by-step explanation:
The given dimensions are
Width of the rectangle is 6inches.
Length of the rectangle 10inches.
Now we need to choose in what orientation we need to use the length and the width of the rectangle so that it can be rolled into a rectangle and we get the maximum volume of the resulting cylinder.
so lets consider two cases
CASE-1: width of the rectangle is to be rolled as the circumference of the cylinder and length of the rectangle is to used as the height of the cylinder
2*pi*r = 6
r = [tex]\frac{6}{2pi}[/tex]
r = [tex]\frac{3}{pi}[/tex] Inch
and the height = 10inch.
Volume of the resultant cylinder will be
= [tex]pi*r^2*h[/tex]
= [tex]pi*(\frac{3}{pi} )^2*10[/tex]
= [tex]\frac{9}{pi}*10[/tex]
= [tex]\frac{90}{pi}[/tex] = 28.662 [tex]in^3[/tex]
CASE-2: When the length of the rectangle is to used as the circumference of the resultant cylinder and the width of the cylinder is used as the height of the cylinder.
2*pi*r= 10
r = [tex]\frac{5}{pi}[/tex]
and the height of the cylinder is 6 inch
Now the volume of the cylinder will be
Volume= [tex]pi*r^2*h[/tex]
= [tex]pi*(\frac{5}{pi} )^2*6[/tex]
= [tex]\frac{25}{pi}*6[/tex]
= [tex]\frac{150}{pi}[/tex] = 47.77[tex]in^3[/tex]
Clearly we have the second case in which the resulting Cylinder will have the maximum volume.
Therefore the CASE-2 will provide the maximum Volume of 47.77[tex]in^3[/tex] to the resulting cylinder in which the length of the rectangle is to be considered as the circumference of the Cylinder and the width of the rectangle is to be considered as the height of the cylinder.
Find the quotient.
3/8 divided by 8
Answer: 3/64
Step-by-step explanation:
Dividing by 8 is the same thing as multiplying by the reciprocal (just flip the fraction). Since 8/1 is the same things as 8, here, the reciprocal is 1/8. So just multiply 3/8 by 1/8. You should get 3/64. Hope this helps!
What is the equation in slope-intercept form of a line that passes through the point (3, 7) and has a slope of 1/3?
Y=1/3x+7
Y=7x+1/3
Y=1/3x+6
Y=6x+1/3
Answer:
Y = 1/3x + 6
Step-by-step explanation:
You are trying to find the b in y=mx + b so you plug in the information you have
7=1/3 (3) + b
1/3 *3 = 1
7 = 1 +b
-1 - 1
6=b
So Y = 1/3x + 6
In a survey of 1,700 people who owned a certain type of car, 425 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
25%Step-by-step explanation:
Given;
Total people surveyed = 1700 people
Total number of people that owned car = 425 people;
Percentage of people satisfied are those that owned car = 425/1700 * 100
Percentage of people satisfied = 42500/1700
Percentage of people satisfied = 25%
Hence 25% of the people surveyed were satisfied with the car
Which expression is equivalent to 6a+5a?
WHOEVER ANSWERS FIRST WILL GET BRAINLIEST AND I NEED THE MATH TO IT
Answer:
11a
Step-by-step explanation:
You can combine like terms. Since they both have a after the number, you can just think of it as an addition problem. 6+5= 11. 6a+5a=11a.
OPEN ENDED QUESTION -8-7
Answer:
-15
Step-by-step explanation:
A cookie factory uses 1 1/3 barrels of oatmeal in each batch of cookies. The factory used 2 2/3 barrels of oatmeal yesterday. How many batches of cookies did the factory make?
Answer:
2 batches
Step-by-step explanation:
A cookie factory uses 1 1/3 barrels of oatmeal in each batch of cookies
The factory used 2 2/3 barrels of oatmeal yesterday
Therefore the batches of cookies that were made yesterday can be calculated as follows
1 batch= 1 1/3 barrels
x = 2 2/3 barrels
Cross multiply
4/3 x = 8/3
x= 8/3 ÷ 4/3
x = 8/3 × 3/4
x= 2
Hence 2 batches will be produced
| 19 − 20x | − |20 − 19x |− |x − 10|, if x > 100
Answer:
11
Step-by-step explanation:
since x>100, then 19-20x and 20-19x would obviously be negative and x-10 would be positive.
Therefore we have (20x-19)-(19x-20)-(x-10) = 20x-19-19x+20-x+10 = 11
elaine rode her bike from her house to the library, to the park, and then back home. Elaine realized that her route made an isosceles triangle, and that the library was the exact same distance from both her house and the park. what is the measure of the angle at the park
Answer: I am fairly sure the answer is 56
Step-by-step explanation:
If the credentials to this question match with mine, your answer should be 56. I am sorry if this is wrong.
please help ASAP!!!!!
PLEASE HELP DUE SOON!!!! A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?
A. 12
B. 5
C. 13
At Rafael's auto shop, it takes him 15 minutes to do an oil change and 24 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Rafael can do in less than an hour (60 minutes).
Answer:
5x + 8y < 20Step-by-step explanation:
Oil change
Time = 15 minNumber = xTire change
Time = 24 minNumber = yTime limitation = 60 min
Required inequality:
15x + 24y < 60Simplified
5x + 8y < 20What is the y intercept?
Answer:
-5
Step-by-step explanation:
6x - 12 y = 24
-х — 6у = 4
solve the system of equations.
Answer:
x = 2, y = -1
Step-by-step explanation:
Answer:
-6=4 no solutions
Step-by-step explanation:
please please please help me on this i'll give 14 points to whoever answers
2 questions
what are the odd numbers between 4 and 20?
what are the whole number less than 5?
Answer:
odd numbers between 4 and 20 are:
5,7,9,11,13,15,17,19
whole numbers less than 5 are:
1,2,3,4
Hope this helps!:)
Derek weighs 155 pounds and drives a utility vehicle that can carry no more than 220 pounds. He plans to use his utility vehicle to haul blocks to his
backyard. Which inequality shows the number of 3 pound blocks, b, Derek can haul at one time on his utility vehicle?
Drag and drop an answer choice into each empty box below.
Answer:
22 I think
Step-by-step explanation:
Emily sent 60 texts so far this week. What is 20%of the total number of text messages she is allowed in one week
Answer:
so we should find the %20 of 60
60.%20=12
Step-by-step explanation:
the answer is 12
hope it helps
What is the difference? Complete the equation. -4 - 2 1/2
Answer: - 6 1/2
Step-by-step explanation:
We should note that:
=-4 - 2 1/2
= -6 1/2
For example, let's assume you owe Bob $4 and then you owe Bill $2 1/2. To calculate the total amount owed, you would have $6 1/2.
what is –9 – (–13) and how do i solve
Answer:
4
Step-by-step explanation:
-9-(-13)
-9+13 <---- (-)*(-) = (+)
13-9
4
You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads.
Write an equation for the number of minutes you read, y, when your brother reads x number of minutes.
How many minutes will you read if your brother reads for 15 minutes?
minutes
Answer: its 45 if i read it right.
Step-by-step explanation:
Solve for V in V= s^3, if s= 4.
V=
Answer:
64
Step-by-step explanation:
v = s^3
v = (4)^3 [4x4x4]
v = 64
Which expression is equivalent to the following complex fraction?
1 + StartFraction 1 Over y EndFraction divided by 1 minus StartFraction 1 Over y EndFraction
A,) StartFraction (y + 1) (y minus 1) Over y squared EndFraction
B.) StartFraction y + 1 Over y minus 1 EndFraction
C.) StartFraction y minus 1 Over y + 1 EndFraction
D.) StartFraction y squared Over (y + 1) (y minus 1) EndFraction
Answer:
umm...the wording is kinda confusing but im just gonna full send and say its c
Step-by-step explanation:
sry if its wrong lol (it probably is)
Answer:
Its actually B
Step-by-step explanation:
i AM THE edgEINGUITY GOD
Solve. x2 – 10x + 21 < 0
Answer:
(3,7)
Step-by-step explanation:
The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': Triangles ABC and A prime B prime C prime are shown. A is at 3, 1. B is at 2, 6. C is at 6, 5. A prime is at negative 5, 4. B prime is at negative 6, 9. C prime is at negative 2, 8. Which of the following completes the rule for this translation, (x, y) → (x − 8, ___)? (5 points)
Answer:
y + 6
Step-by-step explanation:
you already got X so now you have to go up 6!
(took the Segment 1 exam its correct)
brainlyest plz
Answer:
y-3
Choose a point, any is fine. (I chose point c)
Count how many spaces it to get from point C to where point C' is on the x axis. (It already gave it to us. its 8)
Then count how many spaces it takes to get to C' on the y axis. (In this case you are counting down because A'B'C' is beneath ABC.)
I am extremely terrible at explaining things but hope this helps.
Step-by-step explanation: