From what I'm understanding of these questions, the biggest thing you need to answer these is the formulas for cylinders and triangular prisms. I'm not sure what the quantities are for either question so I'm going to work with made up numbers to give examples for the formulas. For number 2 with the cylinder, let's consider the formula first:
π × r2 × h <em>OR </em>pi (3.14) times radius squared times height
If you have the height and you have pi, all you need to take is the doubled radius (aka multiply it by 2) and plug that back into the formula. For the sake of an example, I'm going to make up the number 2 for the radius and 6 for the height. Here's what that would look like:
r = 2; double it, resulting in 4
pi x 4^2 x 6
3.14 x 16 x 6
= 301.44
Work with the actual numbers you have and you're good to go.
For number 3, reducing something by 1/2 means dividing by 2. Let's consider the formula and then work through another example:
1/2 x b x h x l <em>OR </em> 1/2 times base times height times length
For the sake of an example, I'll use 10 for the height, 15 for the base, and 20 for the length:
h = 10; reduce by 1/2, resulting in 5
1/2 x 15 x 5 x 20
= 750
Plug in your actual quantities, and remember your volume units. Hope this helps!
Answer:
-p^4 + 4p^3 - 5p^2 + 8p - 6
Step-by-step explanation:
Distribute the -p^2 to the p^2 and the 2. Then distribute the 4p to the p^2 and the 2. Then distribute the -3 to the p^2 and the 2.
When we expand:
-p^4 - 2p^2
+ 4p^3 + 8p
-3p^2 - 6
Group, ordering from highest to lowest "degree" (exponent).
-p^4 + 4p^3 - 2p^2 - 3p^2 + 8p - 6
Combine like terms.
-p^4 + 4p^3 - 5p^2 + 8p - 6
Answer:
14 is a positive integer, then it belongs to the set of natural numbers.
1 and 5/9 are rational numbers. The second is already a fraction and the first one, 1, is a natural number, but all the natural numbers can be written as the result of a fraction. For example: 1=6/6.
About the last number, I don't know if it's written correctly. That should be pi maybe, that is 3.14159.... In that case it's an irrational number.
Irrational numbers are all those real numbers that are not rational.
In general you have that:
ℕ ⊂ ℤ ⊂ ℚ ⊂ ℝ
ℕ. Natural numbers. It's the "smallest" one.
ℤ. Integers. Made with positive and negative natural numbers. Includes the natural numbers then.
ℚ. Rational numbers. Everything that can be written as a fraction. Includes both ℕ and ℤ.
ℝ. Real numbers. Any kind of number, fraction or not.
4. 300 Decigrams
7. 0.2 ton
10. 7920 Centigrams
