First, it is to be understood that logarithms allow a person to subject a number as an exponent of a base. As an example of ways in which logarithm is used to aid us in difficult calculations is when we calculate for the pH of a substance which has a formula of,
pH = -log[H+]
Answer: 1/2
Step-by-step explanation:
The question is for us to calculate the amount of juice that's left.
We are told that Luna mixes 3/4 of orange juice and 3/8 of cranberry juice. The amount of juice mixed will be:
= 3/4 + 3/8
= 6/8 + 3/8
= 9/8
= 1 1/8
We are then told that she gave Mags 5/8 cup of juice. The amount of juice that's then left will be:
= 1 1/8 - 5/8
= 4/8
= 1/2
1/2 cup of juice will be left
Answer:
2. zeros
4. difference
22. 79,158.5
42. 0.0099
50. 4.37
Step-by-step explanation:
2. Only adding 0s after a decimal point does not change the value.
4. Since you are subtracting then you estimate difference.
22. Add each number using place value.
75285
2
3971
0.5
__________
79258.5
42. 0.01 is really 0.0100. If you subtract 0.0001 then it is like subtracting 100-1 = 99 but in the decimal place. So it becomes 0.0099.
50. Subtract by lining up decimal places. Then move place values to subtract.
9.00
- 4.63
----------------
4.37
Going to put your function in slope-intercept form for the sake of easier input into Desmos.
y - 2 = - (x + 5)
y - 2 = - x - 5
y = - x - 5 + 2
y = - x - 3
Answer:
10 units
Step-by-step explanation:
Area of a triangle is
= Area
where h is the height, and b is the base
We can substitute these values into the area equation and get:

Multiply both sides by 2:
x * 10 = 100
Divide both sides by 10:
x = 10
The missing side is 10 units long