Answer:
t=7,t=0
Step-by-step explanation:
2t^2-14t+3=3
Subtract 3 from both sides
2t^2 - 14t +3 - 3 = 3-3
Simpilfy
2t^2 -14t = 0
Answer:
See below
Step-by-step explanation:
Step 1: definition of Binomial Theorem
Step 2: Distributive Property (-3ab(a+b) = -3a²b-3ab²)
Step 3: Commutative Property of addition: terms are moved into a different order based on exponents
Step 4: Combine like terms
Answer:
48 sq. in.
Step-by-step explanation:
Different figures (rectangular prisms, cylinders, triangular prisms etc.) have different volume formula. But what formula of "volume" do they come from??
It is:
Volume = Area of Base * Height
<u>Note:</u> we didn't specify any Area of Base formula because it depends. If base is circle, the area is different than if base was suppose a square. But this is the general formula of volume.
Now,
Given
Height = 18 inch
Volume = 864 cubic inch
We can write:
Volume = Area of Base * Height
864 = Area of Base * 18
Thus,
Area of Base = 864/18 = <u>48 sq. in.</u>
<u>This is what we are wanting, "area of base" (irrespective of the shape).</u>
Answer:
The LCM of 10 and 30 is 30.
Step-by-step explanation:
First we will list the prime factors of each number.
10:
2 × 5
30:
2 × 3 × 5
Then, you multiply the factors together the greatest amount of times it occurs in either set of factors.
2 × 3 × 5 --- we the most times 2 appears is once, 3 appears once, and 5 appears once
2 × 3 × 5 = 30
The LCM of 10 and 30 is 30.
To convert a number into percent multiple it by 100 and then add the percent sign.