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Sketch a graph of $ f(x)=\left\{\begin{array}{lll}-x+5 & \text { if } & x<1 \\ 2 x+2 & \text { if } & x \geq 1\end{array}\right. $

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Small businesses make up a large portion of the competitive landscape for most businesses. There are approximately ________Blank small businesses in the United States. Multiple Choice 46 million 33 million 97 million 62 million 17 million

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Use any convenient method to determine whether the following system of equations is consistent, inconsistent, or dependent. 2x+2y=8 -6x-6y=-24 Use any convenient method to determine whether the following system of equations is consistent, inconsistent, or dependent 2x+2y=8 -6x-6y=24

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How does a central bank typically use monetary policy to address inflation? a) By decreasing interest rates b) By increasing interest rates c) By implementing expansionary measures d) By reducing money supply

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if f(x) equals to x^2 then what would the formular dy/dx = f(x +h) -f(x) / h look like?

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Determine the following limit.\\ $\lim_{x \to \infty} \frac{28x^3 + 3x^2 - 2x}{21x^3 + x^2 + 4x + 3}$ \\ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.\\ A. $\lim_{x \to \infty} \frac{28x^3 + 3x^2 - 2x}{21x^3 + x^2 + 4x + 3} = $ (Simplify your answer.)\\ B. The limit as x approaches $\infty$ does not exist and is neither $\infty$ nor $-\infty$.

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The diagram below shows the side-view perspective of five surfaces that are identical except for their orientations. The angle between bet the electric field and area vectors in each diagram is labeled. Each surface is divided into four equal size squares. Also shown are electric field lines that pass through each surface. The fields in the five diagrams are identical. Surface A E -A- 0 Surface B E 60° A Surface C E 90° A Surface D Surface E E E A 180° A 120 Question 3.1 Let $\Phi_A$ represent the electric flux passing thru surface A. Write expressions for the flux passing thru surfaces B, C, D and E in terms of $\Phi_A$. As before, use the number of field lines that pass each surface to determine each expression. Be sure to pay attention to the sign of each flux. $\Phi_B = $ $\Phi_C = $ $\Phi_D = $ $\Phi_E = $ Question 3.2 The angle between the area vector and the electric field vector is shown in each diagram. What trigonometric function of this angle gives values that are proportional to the constants you wrote in the previous question? Question 3.3 Combine the relationships you wrote in questions 1.3, 2.3 and 3.2 to write an expression for the electric flux in terms of electric field, area and the angle between the electric field and area vectors. Note: the proportionality constant in the expression you write is equal to 1. $\Phi = $

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The flow rate at the inlet of a pipe is $2.5 \times 10^{-4} \text{ m}^3/\text{s}$; what is the flow rate at the outlet of the pipe, knowing that the diameter at the inlet is 16 mm while at the outlet it's 32 mm? Select one: $\circ$ a. $2.5 \times 10^{-4} \text{ m}^3/\text{s}$ $\circ$ b. The flow rate at the outlet cannot be deduced from the given $\circ$ c. $5 \times 10^{-4} \text{ m}^3/\text{s}$ $\circ$ d. $1.25 \times 10^{-4} \text{ m}^3/\text{s}$

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Determine the nonlinear ODE modeled by the Simulink diagram shown above. \begin{itemize} \item Use ONLY the following symbolic variables and functions (though you do not have to use them all): y, u, sin(), and sqrt(). \item These symbolic variables and functions are case sensitive (e.g. A $\neq$ a, etc.). \item Include mathematical operators (*, /, +, -, etc.) as appropriate between variables (e.g. A*cos(b*t) $\neq$ Acos(bt), etc.) \end{itemize} $\frac{d^2y}{dt^2} = $

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1. Explain what a high ventilation/perfusion mismatch means. 2. The patient came in the ER in an acute asthma attack. What describes the clinical presentation of the patient? Select all that apply: a. Hypercapnia b. Ischemia c. Embolism d. Hypoxemia 3. What is the most common cause of myocardial ischemia? a. Atherosclerosis b. Venous emboli c. Idiopathic vasospasm d. Arterial emboli from heart valve vegetation 4. If the patient experiences sympathetic nervous stimulation of the heart, the nurse should be aware that the patient may also have: a. Decreased rate/force of contraction b. Increased heart rate and decreased contractility c. Decreased contractility/decreased heart rate d. Increased heart rate and increased contractility

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michael s.