Answer:
The radius of the scoop is r = 3.1 cm
Step-by-step explanation:
Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.
3 gallons = 3 × 3785 cm³ = 11355 cm³
So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.
Since 90 scoops = 11355 cm³, then
1 scoop = 11355 cm³/90 = 126.2 cm³
Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have
r = ∛(3V/4π)
Substituting V = 126.2 cm³, we have
r = ∛(3× 126.2 cm³/4π)
= ∛(378.6 cm³/12.57)
= ∛30.13 cm³
= 3.1 cm
So, the radius of the scoop is r = 3.1 cm
Answer:
31
Step-by-step explanation:
Let the numbers be x and y.
"The sum of two numbers is 43." gives us the first equation.
x + y = 43
"One number is five less than three times the other number." gives us the second equation.
y = 3x - 5
Now we solve the system of two equations below.
x + y = 43
y = 3x - 5
Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.
x + y = 43
x + 3x - 5 = 43
4x - 5 = 43
4x = 48
x = 12
The first number is 12. Now we find the second number.
x + y = 43
12 + y = 43
y = 31
The larger number is 31.
Answer:
m = 21 - 72·i in an ordered pair = (21, -72)
Step-by-step explanation:
Graphing complex numbers involves the application of the methodology of graphing real numbers on the coordinate plane in addition to the Argand coordinate plane to form the complex coordinate plane, such that where the complex number is of the form a + bi, the real part of the complex number, a, is taken as the x-coordinate value while the imaginary part, b, is taken as the y-coordinate value
As such to represent the complex number as an ordered pair, we have;
a + bi is equivalent to (a, b)
Therefore;
To write the complex number, m = 21 - 72·i as an ordered pair in an Argand diagram, we have;
m = 21 - 72·i in an ordered pair = (21, -72).
Answer:
Dependent Variable : Tire tread wear ; Independent Variable : Tire Brand ; Confounding Variable : Person driving
Step-by-step explanation:
Dependent Variable is the variable being affected by independent variable(s). Independent Variable(s) are the causal variable, bring change in dependent variable.
Goodrich wants to demonstrate that his tires were better than those of his competitor (Goodyear). For that, he has got conducted an independent research on tires worn quality - brand wise & various factors affecting wear
- Dependent Variable is the 'Tire tread wear '.
- Independent Variables determining it is primarily brand : Goodrich / Goodyear ; secondarily - price, mileage, time etc
Confounding variable is an extraneous influence variable; that changes the relationship between independent & dependent variable, outcome of experimental research.
In this case : Individuals driving the vehicles could be a confounding variable. A particular person could wear out tire more than another person.
2500(.054)(2) = 270
270+2500=2770
The total amount he would pay is $2770
Happy to help,
~BP98
