A rocket sled with a mass of 2900 kg moves at 250 m/s on a set of rails. At a certain point, a scoop on the sled dips into a trough of water located between the tracks and scoops water into an empty tank on the sled. By applying the principle of conservation of linear momentum, determine the speed of the sled after 920 kg of water has been scooped up. Ignore any retarding force on the scoop.

Convert the angle measure from degrees to radians. Round your answer to three decimal places. $486^{\circ}$

Draw structures that show the similarity between the decarboxylation of the pyruvate–TPP intermediate and the decarboxylation of a β-keto acid.

Use a circular object such as a can or a saucer to draw a circle. Construct the center of the circle.

Graph the system of linear inequalities and indicate the solution set.

$$\left. \begin{array} { l } { x - y > 5 } \\ { 6 x + 5 y \leq 30 } \end{array} \right.$$

At Earth’s surface, the acceleration due to gravity is approximately $g=9.8\ \mathrm{m}/\mathrm{s}^2$(with local variations). However, acceleration decreases with distance from the surface according to Newton’s law of gravitation. At a distance of y meters from Earth’s surface, the acceleration is given by $a(y)=- \frac { g } { ( 1 + y / R ) ^ { 2 } }$, where $R=6.4 \times 10 ^ { 6 }$ m is the radius of Earth.

Suppose a projectile is launched upward with an initial velocity of $v_0$ m/s. Let $v(t)$ be its velocity and $y(t)$ its height (in meters) above the surface $t$ seconds after the launch. Neglecting forces such as air resistance, explain why $\frac { d v } { d t } = a ( y )$ and $\frac { d y } { d t } = v ( t )$.

Simplify: $10 - ($4.60 - 39¢)

Use your fraction maipulatives to reduce

$$\frac { 6 } { 8 }$$

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Atoms of which of the following elements will diffuse most rapidly in iron? (A) Mo (B) C (C) Cr (D) W

A test has three parts. Part A consists of eight true-false questions, Part B consists of five multiple choice questions with five choices each, and Part C requires you to match five questions with five different answers one-to-one. Assuming that you make random guesses in filling out your answer sheet, what is the probability that you will earn 100% on the test? (Leave your answer as a formula.)

¿Es la deforestación un recurso natural, un problema o una solución?

describe how to transform the graph of ƒ into the graph of g.

$$f(x)=I2xIand g(x)=4IxI$$

Two isomers (A and B) of a given compound dimerize as follows:

$$\begin{array} { l } { 2 \mathrm { A } \longrightarrow \mathrm { A } _ { 2 } } \\ { 2 \mathrm { B } \longrightarrow \mathrm { B } _ { 2 } } \end{array}$$

Both processes are known to be second order in the reactant, and $k _ { 1 }$ is known to be $0.250\ \mathrm { L }\ \mathrm { mol } ^ { - 1 }\ \mathrm { s } ^ { - 1 }$ at $25 ^ { \circ } \mathrm { C }.$ In a particular experiment A, and B were placed in separate containers at $25 ^ { \circ } \mathrm { C } ,$ where $[ \mathrm { A } ] _ { 0 } = 1.00 \times 10 ^ { - 2 }\ \mathrm { M }$ and $[ \mathrm { B } ] _ { 0 } = 2.50 \times 10 ^ { - 2 }\ \mathrm { M } .$ After each reaction had progressed for 3.00 min, [A] = 3.00[B]. In this case the rate laws are defined as follows:

$$\text {Rate} = - \frac { d [ \mathrm { A } ] } { d t } = k _ { 1 } [ \mathrm { A } ] ^ { 2 } \\ \text {Rate} = - \frac { d [ \mathrm { B } ] } { d t } = k _ { 2 } [ \mathrm { B } ] ^ { 2 }$$

Calculate the value of $k _ { 2 }.$

The first two terms of the arithmetic sequence are given. Find the missing term. Use the table feature of a graphing utility to verify your results. $a_{1}=-0.7, \quad a_{2}=-13.8, \quad a_{8}= ?$