How did the Four Modernizations change China's economic focus?

Name the five primary taste sensations.

Plants and other green organisms absorb _____ from _____.

The table shows the petrol sales in one day by a number of city service stations.

$$\begin{matrix} \text{Litres (L)} & \text{Frequency}\\ {2000<L \leqslant 3000} & \text{4}\\ {3000<L \leqslant 4000} & \text{4}\\ {4000<L \leqslant 5000} & \text{9}\\ {5000<L \leqslant 6000} & \text{14}\\ {6000<L \leqslant 7000} & \text{23}\\ {7000<L \leqslant 8000} & \text{16}\\ \end{matrix}$$

Find the approximate mean sales of petrol for the day.

Let $H=\operatorname{Span}\left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}\right\}$ and $\mathcal{B}=\left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}\right\}$. Show that $\mathcal{B}$ is a basis for H and x is in H, and find the $\mathcal{B}$-coordinate vector of x, for

$$\mathbf{v}_{1}=\left[ \begin{array}{r}{-6} \\ {4} \\ {-9} \\ {4}\end{array}\right], \mathbf{v}_{2}=\left[ \begin{array}{r}{8} \\ {-3} \\ {7} \\ {-3}\end{array}\right], \mathbf{v}_{3}=\left[ \begin{array}{r}{-9} \\ {5} \\ {-8} \\ {3}\end{array}\right], \mathbf{x}=\left[ \begin{array}{r}{4} \\ {7} \\ {-8} \\ {3}\end{array}\right]$$

Use the law of sines to find the indicated part of each triangle ABC. Find b if a=165 m, $A=100.2^{\circ}$, $B=25.0^{\circ}$.

How much does the media affect your opinions? Write a paragraph describing your opinions about recent political issues and how you came to form them. Consider the following: a. the source or sources of your information about the issues b. whether your opinion agrees with those of your friends and family members

Prior to t = 0 the current in a 2-H inductance is zero. Starting at t = 0, the current is increased linearly with time to 10 A in 5 s. Then, the current remains constant at 10 A. Sketch the voltage, current, power, and stored energy to scale versus time.

How do you think the Communist Chinese reacted to Taiwan president Lee Teng-hui's promise that Taiwan would lead China into democracy?

An aquarium pool has volume $2 \cdot 10^{6}$ liters. The pool initially contains pure fresh water. At t = 0 minutes, water containing 10 grams/liter of salt is poured into the pool at a rate of 60 liters/minute. The salt water instantly mixes with the fresh water, and the excess mixture is drained out of the pool at the same rate (60 liters/minute). (a) Write a differential equation for S(t), the mass of salt in the pool at time t. (b) Solve the differential equation to find S(t). (c) What happens to S(t) as $t \rightarrow \infty ?$

Many transformations of 3-dimensional space are matrix transformations. Points have the form $X=(x,y,z)$ and the matrices are $3\times3$. For each matrix $M$, figure out what the transformation $X\rightarrow MX$ does. a. $$ M=\left[\begin{array}12&0&0\\0&2&0\\0&0&2\end{array}\right] $$ b. $$ M=\left[\begin{array}11&0&0\\0&2&0\\0&0&3\end{array}\right] $$ c. $$ M=\left[\begin{array}11&0&0\\0&1&0\\0&0&-1\end{array}\right] $$ d. $$ M=\left[\begin{array}10&-1&0\\1&0&0\\0&0&1\end{array}\right] $$ e. $$ M=\left[\begin{array}1-1&0&0\\0&1&0\\0&0&-1\end{array}\right] $$ f. $$ M=\left[\begin{array}10&0&1\\1&0&0\\0&1&0\end{array}\right] $$

Find each difference. 8-10

A new surgical procedure is said to be successful 80% of the time. Suppose the operation is performed five times and the results are assumed to be independent of one another. What are the probabilities of these events? a. All five operations are successful. b. Exactly four are successful. c. Less than two are successful.

Use a graphing calculator to solve the equation. $\left(\frac{1}{3}\right)^{3 x+4}=7^{x+3}$