The distance formula is

. In the ordered pairs (4, 6), the first number 4 represents the
x-coordinate while 6 is the
y-coordinate. In (7, -3), 7 is the
x-coordinate and -3 is the
y-coordinate. Substituting these coordinates results in

. Since subtracting a negative is equivalent to adding a positive, we now have
Let X be the amount of 90% alloy and Y be the amount of 70% alloy. The equations are: x + y = 60 0.9x + 0.7y = 0.85 * 60 By substituting, we have: 0.9x + 0.7(60 - x) = 0.85 * 60 This simplifies to: (0.9 - 0.7)x = (0.85 - 0.7)*60 Solving for x yields: x = (0.85 - 0.7)*60/(0.9 - 0.7) x = 45 ounces For Y, we find: y = 60 - 45 y = 15 ounces
The total is 4 boxes, as you don't count the.6 since it's not a complete box.
To find the Volume (V) of a sphere, we need to divide the machine's Volume (V) by the volume of a gumball (v). So, when we perform this division, we find that 5,832 gumballs can fit into the machine.
Answer:
graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x
Step-by-step explanation:
The deodorant starts to evaporate, indicating a mass reduction, thus 12% represents the decay rate. In exponential decay, the function's graphical representation adheres to the formula:

Where
signifies the starting quantity (
),
is the decay rate (
) and
denotes the time intervals, measured in days for this case. By inserting the given values into the formula:

Which aligns with the "graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x".