Answer:
300L per hour
Step-by-step explanation:
The rate of change of volume of blood pumped by the teenager's heart expresses the volume of blood pumped with respect to hour.
Rate of change of volume of blood = 
= 
= 300L/hour
The rate of change of volume of blood by the teenager's heart is 300 litres per hour. This implies that his/ her heart pumps 300 litres of blood every hour.
Step-by-step explanation:
The Base of the triangle= 3+6=9 units
Altitude of the triangle=6-2=4 units
Hence, Area of a triangle= Base×Altitude ×1/2
Hence, Area of the abc = 9×4×1/2=18 unit^2
Answer:
B. l = (S - πr^2) / πr
Step-by-step explanation:
S = πrl + πr^2 solve for l
πrl = S - πr^2
l = (S - πr^2) / πr
Answer is B. l = (S - πr^2) / πr
Answer:
x = 3
Step-by-step explanation:
To find the x-coordinate, substitute y = 8 into the equation abd solve for x
5x - 7 = 8 ( add 7 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Thus (3, 7) is a solution to the equation
Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long
