Answer:
A) 2x^2+5x+1
Step-by-step explanation:
7x^2-6+4x+7-5x^2+x
7x^2-5x^2+4x+x-6+7
2x^2+5x-6+7
2x^2+5x+1
Step-by-step explanation:
Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).
\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}
ES
=(4;4)−(4;−3)=
(0;7)
\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}
EJ
=(−5;−4)−(4;−3)=
(−9;−1)
cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=
∣
EJ
∣∗∣
ES
∣
ES
∗
EJ
cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;
a = 96,34°
Solution: 96 degrees.
Answer:
8:12
Step-by-step explanation:
2+3 = 5
20 div 5 = 4
2 times 4 = 8
3 times 4 =12
8:12
The 95% confidence interval for a population mean has a margin of error (E) of 41
The confidence interval for a population mean is given by:
Confidence interval = μ ± E = (μ - E, μ + E)
Where μ is the mean and E is the margin of error.
Since the confidence interval is (428, 510), hence:
μ - E = 428 (1)
μ + E = 510 (2)
Subtracting equation 1 from equation 2:
2E = 82
E = 41
μ - E = 428
μ -41 = 428
μ = 469
Hence the margin of error (E) is 41
Find out more at: brainly.com/question/10501147
The product of powers property.
