Answer the answer is B) 990
Answer:
If the roots of an equation are x = -1 ± i, it means that the factorized form of that equation is: (x + 1 + i)(x+ 1 - i) = 0.
Using the distributive property, we have:
(x + 1 + i)(x+ 1 - i) = x^2 + x - ix + x + 1 - i + ix + i + 1
Combining like-terms and simplifying:
⇒ x^2 + x + x + 1 + 1 = x^2 + 2x + 2 = 0
Therefore, the stament is correct. If the roots of an equation are x = -1 ± i, then the equation is: x^2 + 2x + 2 = 0.
OK so here it goes:
1a. 10³
1b. 10²
1c. 10(tiny 6)
1d. 10³
1e. 10(tiny6)
1f. 10(tiny 5)
2a. 400
2b. 640,000
2c. 5,400
2d. 5,301,000
2e. is it multipcation or addition
2f. 607,200
2g. 0.948
2h. 0.0094
3a) 0.02, 0.2, 2, 20, 200, 2000
3b) 3,400,000 ; 34,000; 340, 3.4, 0.034
3c) 85,700; 8,570; 857, 85.7, 8.57, 0.857
3d) 444, 4440, 44,400; 440,000; 4,400,000; 44,000,000
3e) 0.95, 9.5, 950, 95,000; 950,000; 9,500,000
Hope this helps.
Answer:
<u>640 pounds </u>
Step-by-step explanation:
The rest of the question is the attached figure
So, the total volume = V(cylinder ) + V(cone)
The volume of cylinder = π r² h
The volume of cone = π r² h/3
Both of the cylinder and the cone have the same diameter = 14 inches
So, the radius = 14/2 = 7 inches
The height of the cylinder is 13 inches and the height of the cone is 9 inches.
So, The volume of cylinder = π r² h = π * 7² * 13 = 2,001.2 in³
And The volume of cone = π r² h/3 = π * 7² * 9/3 = 461.8 in³
So, the total volume = 2,001.2 + 461.8 = 2,463 in³
So, the total weight = 0.26 pounds per cubic inch times the total volume
= 0.26 * 2463 = 640.38 pounds
= <u>640 pounds (to the nearest pound)</u>