Assume that because of in creasing $\mathrm{CO}_{2}$ concentration in the atmosphere, the net radiation energy transfer rate for Earth and its atmosphere is $+0.002 \times 1350 \mathrm{W} / \mathrm{m}^{2}$,corresponding to a 0.2% decrease in radiation leaving Earth. (a) Determine the extra thermal energy added to Earth and its atmosphere in 10 years. [Note:The radiation falls on an area approximately equal to $\pi r_{\text { Earth }}^{2}$ where $r_{\text { Earth }}=6.4 \times 10^{6} \mathrm{m.} ]$ (b) If 30% of this energy is used to melt the polar ice caps, how many kilograms of ice will melt in 10 years? (c) How many cubic meters of ice will melt? (d) By how much will the level of the oceans rise in 10 years?

The energy from solar radiation falling on Earth is

$$1.07 \times 10 ^ { 16 } \mathrm { kJ } / \mathrm { min }$$

How much loss of mass from the Sun occurs in one day from just the energy falling on Earth?

Suppose you were to read that a new study based on 100 men had found that there was no difference in heart attack rates for men who exercised regularly and men who did not. Do you think the study found exactly the same rate of heart attacks for the two groups of men? In the context of the material, what would you suspect was the reason for that reported finding?

Evaluate the expression. $32^{0}$ ________

The point of the needle of a sewing machine moves in SHM along the x -axis with a frequency of 2.5 Hz. At t = 0 its position and velocity components are +1.1 cm and -15 cm/s, respectively. Find the acceleration component of the needle at t = 0.

A tree leaf of mass of 0.80 g and specific heat of $3700 \mathrm{J} / \mathrm{kg} \cdot^{\circ} \mathrm{C}$ absorbs energy from the sunlight at a rate of $2.8 \mathrm{J} / \mathrm{s}$.If this energy is not removed from the leaf,how much does the temperature of the leaf change in 1 min?

Find the eigenvalues and eigenvectors of the matrix in the following problem

$$\left( \begin{array}{ccc} 2 & -3 & 4 \\ -3 & 2 & 0 \\ 4 & 0 & 2\end{array}\right)$$

The sum of the ages of two brothers is 22 and the product of their ages is 120. How old are the brothers?

Give an integral equal to each area. $A_{1}$

Write the given argument in words and determine whether each argument is valid. Let p: 4 gigabytes is better than no memory at all, q: We will buy more memory, r: We will buy a new computer.

$$\begin{array}{l} p\rightarrow r \\ r\rightarrow q \\ p \\ \hline \therefore q \end{array}$$

As a man walks barefoot along the beach, he steps on a sharp shell. His foot automatically jerks upward, even before he feels pain. What process is this an example of? How does it help protect the man?

Decide whether the statement is true or false. Give an explanation for your answer. If f(x) is a positive periodic function, then $\int _ { 0 } ^ { \infty } f ( x ) d x$ diverges.

Write the statement as an inequality. "6y is no more than 8."

Multiply. Write the product in simplest form. 4/9 x 3.