3/14 is 0.214 and 1/6 is 0.16
Answer:V(x) = 6x³ + 4x² - 12x - 8
Step-by-step explanation:
The shoe box can either be cube shaped or cubiod shaped. The volume of the box is length × breadth × height
Since Area = Length × Breadth
Volume = Area × Height
V(x) = A(x) × H(x)
A(x) = 2x² - 4
H(x) = 3x + 2
V(x) = (2x² - 4)(3x + 2)
V(x) = 6x³ + 4x² - 12x - 8
Answer:
1/8
Step-by-step explanation:
If she already had 1/4 of the box left, you just have to split 1/4 in half.
Answer:
Yes. It is a vector space over the field of rational numbers 
Step-by-step explanation:
An element
of the set
has the form

where
are rational coefficients.
The operations of addition and scalar multiplication are defined as follows:


The properties that
, together the operations of vector addition and scalar multiplication, must satisfy are:
- Conmutativity
- Associativity of addition and scalar multiplication
- Additive Identity
- Additive inverse
- Multiplicative Identity
- Distributive properties.
This is not difficult with the definitions given. The most important part is to show that
has a additive identity, which is the zero polynomial, that is closed under vector addition and scalar multiplication. This last properties comes from the fact that
is a field, then it is closed under sum and multiplication.
3, 5, and 6 are incorrect.
In number 3, you have all the steps correct, except for the last one. Instead of adding 19 to 25, you would multiply it, because there is no addition sign in between the absolute value sign and 5^2. Thus making the answer 475.
In number 5, you first square -2. -2 * -2 ( or -2^2) = 4. Next, you square 3. 3 * 3 (3^2) is 9. Then, you subtract 9 from 4 to get -5. The absolute value of -5 is 5, making 5 the answer. Absolute value is kind of like the distance from zero, for instance -5 is 5 units away from 0 and the absolute value can never be a negative number. Thus making 5 the answer.
In number 6, you first solve the parenthesis. 2 - 3 = -1 and -1 * -1 (-1^2) is 1. Next, you square -3. -3 * -3 (-3^2) = 9. Then, you subtract 1 from 9 to get 8. The absolute value of 8, is 8. Finally, multiply -4 and 8 to get -32. Thus meaning -32 is the answer.
I hope this helps!