Answer:
5(2a − 3) = (2a − 3) ⋅ 5
Step-by-step explanation:
Commutative Property of Multiplication is switching the order of the numbers around, and that answer demonstrates just that.
Answer:
D!
Step-by-step explanation:
its pretty hard to explain but let me put it like this- it crosses through (0,0) and it mirrors itself in the 1st and 3rd quadrants
Answer:
I have uploaded a picture so you could understand it a little more.
A linear function is when there is a table that gives numbers that represent a function, as shown in the picture.
In the Image, there is a table with a x and y column. And in both columns, there are numbers.
This is what the table looks like in the picture:
<u> x y </u>
0 4 The key is y = 2x + 4
1 6 <------ lets grab the number 1 in the x column and lets
2 8 multiply it by two. Now add four to it, and we will
3 10 have the number 6 in the y column.
4 12
I hope I helped you! God bless :-)
20% of 65 = 65 * 1/5, which is 13. so 20% of 65 is $13. so a discount of 20% = 65-13 which is $52
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
