How does ellipticity affect the total amount of solar energy that reaches Earth?

The amount of energy Earth absorbs is equal to the amount of energy it radiates. Why is this important? Explain your answer.

Over the past 600000 years, when was Earth's orbit most elliptical? When was it least elliptical?

Teo and Shannon find the following exercise in their homework:

$$\frac{1}{2}+\frac{1}{3}+\frac{1}{9}$$

Teo claims that a common denominator of the sum is $2+3+9=14$ . Shannon claims that it is $2 \cdot 3 \cdot 9=54 .$ Is either student correct? Explain why or why not.

For a test of Ho: p = 0.5, the z test statistic equals -1.52. Find the p-value for Ha: p < 0.5.

Write without brackets or negative indices: a. $x^{-2} \times x^{-3}$ b. $2(a b)^{-2}$ c. $2 a b^{-2}$

Which is an example of how people use nonrenewable energy resources? A. eating a banana B. sailing a boat C. walking to school D. driving a car

Solve each equation. Check your answer. -5.3 + z = 8.9

Stock in the ABC Company fell 12.67 points on Monday and 31.51 points on Tuesday. Determine the total change in the stock for the two days.

Solve the equation. Check your solution(s).

$$x ^ { 2 } + 7 = - 47$$

Compute $e^{O}$ and $e^{I},$ where $O$ and $I$ denote the $n \times n$ zero and identity matrices, respectively.

Use the substitution method to find all solutions of the system of equations.

$$\left\{ \begin{array} { l } { y = x ^ { 2 } } \\ { y = x + 12 } \end{array} \right.$$

(a) Calculate the mass converted to energy by the fission of 1.00 kg of uranium. (b) What is the ratio of mass destroyed to the original mass, $\Delta m /m$ ?

Felix is purchasing a brownstone townhouse in Brooklyn for $2,100,000. To obtain the mortgage, Felix is required to make a 19% down payment. Felix obtains a 25-year mortgage with an interest rate of 6.5%. (a) Determine the amount of the required down payment. (b) Determine the amount of the mortgage. (c) Determine the monthly payment for principal and interest.