Answer:
1. 6x^2 + 4x - 4y
2. x - 10y.
3. 6x^5
4. 36 a^6 b^8
5. x^2 - 81
6. 9x^2 - 42x + 49
7. 12x^2 +3x - 42
Step-by-step explanation:
1. 3x^2+4x+3x^2-4y
Add the like terms, we get
6x^2 + 4x - 4y
2. (5x-2y)-(4x+8y)
Now distribute the negative sign, we get
5x - 2y -4x -8y
Simplify the like terms, we get
x - 10y.
3. 3x^3(2x)^2
Multiply the numbers and simplify the variables
6x^(3 +2)
6x^5
4. (-6a^3b^4)^2
Now bring the power 2 inside the parenthesis.
-6^2 a^6 b^8
= 36a^6b^8
5. (x+9) (x-9)
x^2 + 9x -9x - 81
x^2 - 81
6. (3x-7)^2
(3x - 7)(3x - 7)
9x^2 - 21x -21x + 49
9x^2 - 42x + 49
7. (3x+6) (4x-7)
12x^2 + 24x -21x - 42
12x^2 +3x - 42
Thank you.
Answer:
32.852
Step-by-step explanation:
The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
<h3>What is probability ?</h3>
Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.
<h3>Calculation</h3>
Given information:
A company is considering purchasing materials:
The probability of purchasing mineral rights
Form the first mountain P1 = 0.55
From the second mountain P2 = 0.4
As the decision is made independently
So, P(P2∩ notP1) = 0.55 * 0.6
P(P2∩ notP1) = 0.33
Similarly, the value of
P(P2∩ notP1) =0.4 * 0.45
P(P2∩ notP1) = 0.15
Hence ,
P = 0.33 + 0.18
P = 0.51
Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
learn more about probability here :
brainly.com/question/8284622
#SPJ4
Global warming, over population, littering, and many more
To get the surface area of a sphere, we need to have the radius. We are given the circumference. The circumference formula is C=2πr. We need to solve for r.
23 = 2πr
r=3.66
The calculation for surface area is <span>A = 4πr^2.
</span>A = 4<span>π(3.66)^2
Solve for A.
A= 168 cm^2.</span>
