Numerade

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The 19th century theory pioneered by Auguste Comte that attempted to apply scientific methods of observation to the study of human behavior is known?

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The classic hypothesis of speciation is comprised of a three-step process. What are the three steps?

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A particle starts from rest from the top of an inclined plane and slides down with a constant acceleration. The incline plane is 2.00 m long, and it takes 3.00 s for the particle to reach the bottom. Find (a) the acceleration of the particle (b)its speed at the bottom of the incline (c) the time it takes the particle to reach the middle of the incline (d) its speed at the mid-point.

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Evaluate the limit: $\lim_{t \to -1} 8t^4 - 3t = $

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Humans last shared a common ancestor with chimpanzees about 80 million years ago 200 million years ago 2 million years ago 8 million years ago 800,000 years ago

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Consider the following.\\ $\lim_{x \to 0} \frac{\sin(2x)}{x}$\\ Create a table of values for the function. (Round your answers to four decimal places.)\\ $\begin{array}{|c|c|c|c|c|c|c|} \hline x & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \\ \hline f(x) & & & & & & \\ \hline \end{array}$ \\ Use the table to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places.)\\ $\lim_{x \to 0} \frac{\sin(2x)}{x} \approx$

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The variable under consideration is hours spent per week using the internet. The mean (x̅) for this variable is 14.19, the standard deviation (s) is 3.77, and the sample size (N) is 500. a. To obtain the 99% confidence interval for the sample mean of 14.19, we can use the formula: Confidence Interval = x̅ ± (Z * (s/√N)) Where: x̅ = sample mean Z = Z-score corresponding to the desired confidence level (in this case, 99%) s = standard deviation N = sample size b. The confidence interval tells us that we are 99% confident that the true population mean lies within the range of the calculated interval. In this case, the interval would be calculated using the sample mean of 14.19, the standard deviation of 3.77, and the sample size of 500.

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Question #1: [4 points] Adenine and thymine are complementary base pairs in DNA. When "zipped", these base pairs are held together by hydrogen bonding as seen below. HH H 0.280 C nm H Thymine + H Adenine N C N H C (N) (N) 12 0.300 nm H CC C H N C CN CN H You decide to do a simple calculation to calculate the electric force $F$ holding the two base pairs together: The distance between O and H is 0.10 nm. The O-H-N and N-H-N groups are parallel (and so this is a 1D problem). The O-H-N group does not interact with the N-H-N group for simplicity's sake. The C+ bonded to the O- and N- is negligible. All O- have a partial charge of -0.4e. All H+ have a partial charge of 0.3e. All N- have a partial charge of -0.3e.

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Problem 2/143 2/145Afirev A and Relative of r are 175ft 2/143 The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by Î¸ = 780t^2 where Î¸ is in radians and t is in 20 seconds. The slider is at r = 1.6m when t = 0 and thereafter is drawn inward at the constant rate of 0.2 m/s. Determine the magnitude and direction (expressed by the angle Î± relative to the x-axis) of the velocity and acceleration of the slider when t = 4s. 2/146 For value tude Problem Problem 2/143 2/147 The radar corr 9k the the

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Question 3 In the IS model, the equation for investment is given by: (where R is the real interest rate, $\bar{r}$ is the marginal product of capital, and i is the nominal interest rate) $\frac{I}{Y} = \bar{a_i} - \bar{b} (\bar{r} - R)$ $\frac{I}{Y} = \bar{a_i} - \bar{b} (R - \bar{r})$ $\frac{I}{Y} = \bar{a_i} - \bar{b} (\pi - R)$ $\frac{I}{Y} = \bar{a_i} - \bar{b} (i - R)$ $\frac{I}{Y} = \bar{a_i} - \bar{b} (\pi - \bar{r})$ 2 pts

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ver-nica b.