The perfect square is answer A
Answer:
6 quarts = 192 ounces
Step-by-step explanation:
If one quart is equal to 32 fluid ounces, how much is 6 quarts equal to?
to find out, multiply the number of fluid ounces that one quart has (32) by the number of quarts you want to find in ounces (in this case 6 quarts)
6*32= 192
6 quarts =192 ounces
Answer:
24 units ²
Step-by-step explanation:
In this problem, we are given the circumference of a triangle (after finding the perimeter) and want to find the area of a circle with that circumference. Since the area of a circle is a function based on its radius, we can use the circumference to find the radius to find the area.
First, we can figure out the perimeter of the triangle, which is equal to the sum of its sides. The perimeter is 6+4+7.21 = 17.21 units.
Next, the circumference of a circle is equal to π * diameter = π * 2 * radius. Using 3.14 for π and r for radius, we get
3.14 * 2 * r = 17.21
6.28 * r = 17.21
divide both sides by 6.28 to isolate r
r ≈ 2.74
Furthermore, to find the area from the radius, we can use
area = πr². Plugging 2.74 in for r, we get
2.74² * 3.14 = area
≈23.6, rounding up to 24 units ²
Answer:
215 minutes
Step-by-step explanation:
Let
Number of days she rode for 35 minutes = x
Number of days she rode for 55 minutes = y
Total time spent riding her bike = 35x + 55y
x = Monday + Wednesday + Saturday
x = 3 days
y = Tuesday + Thursday
= 2 days
Substitute into the equation
Total time spent riding her bike = 35x + 55y
= 35(3) + 55(2)
= 105 + 110
= 215 minutes
Answer:
a) The x value of the point where the two equations intersect in terms of a is 
b) The value of the functions at the point where they intersect is 
c) The partial derivative of f with respect to
is
and the partial derivative of f with respect to
is 
d) The value of
and 
e)
and 
f) equation
and 
Step-by-step explanation:
a) In order to find the
we just need to equal the equations and solve for
:

b) Since we need to find the value of the function in the intersection point we just need to substitute the result from a) in one of the functions. As a sanity check , I will do it in both and the value (in terms of
) must be the same.

and for
:

c) 

d) Then evaluating:


e) Substituting the corresponding values:


f) Writing the equations:

