Answer:
The mass of 100 cubic centimeters of the material would be
1,000 grams.
The mass of 500 cubic centimeters of the material would be
5,000 grams.
Step-by-step explanation:
Answer:
The answer is A. Substitution
Step-by-step explanation:
Looking at the previous proofs, you can see that:
∠Y≅∠4
∠Z≅∠6
∠X + ∠4 + ∠6 = 180°
Statement 5 then replaces ∠4 and ∠6 with ∠Y and ∠Z, respectively. Replacing it means that it was substituted with the GIVEN values by the previous statements.
The best answer is the Substitution.
Answer:
2 3 1 3
Step-by-step explanation:
Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
Answer:
The expected values for all the categories is :
And then the statistic would be given by:
And the best option would be:
b. 4
Step-by-step explanation:
For this problem we have the following observed values:
Yes 40 No 60 No Opinion 50
And we want to test the following hypothesis:
Null hypothesis: All the opinions are uniformly distributed
Alternative hypothesis: Not All the opinions are uniformly distributed
And for this case the statistic would be given by:
The expected values for all the categories is :
And then the statistic would be given by:
And the best option would be:
b. 4
