Numerade

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Say you have a 12” diameter pizza. And given the area of a circle is 𝐴 = 𝜋(diameter/2)2, compute the area of the pizza and assign that value to the variable area. Now say the cost of the pizza was $8. Compute the cost per square inch of this pizza. **Hint**: the `math` library contains a ‘pi’ object to use as 𝜋. Now say you have the option to buy the above pizza or a 15" pizza that costs $12. Which is a better deal?

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1mmol of Magnesium Phosphate is added to 1L of water. Assuming that there is no Magnesium or Phosphate already present in the water, will all the salt dissolve?

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Use the "mixed partials" check to see if the following differential equation is exact. $(2xy^2 - 5y) dx + (2x^2y - 5x - 6y) dy = 0$. This equation has the form $M(x, y) dx + N(x, y) dy = 0$. Find: $\frac{\partial M}{\partial y}(x, y) = \text{ }$ $\frac{\partial N}{\partial x}(x, y) = \text{ }$ If the equation is exact, find a function $F(x, y)$ whose differential, $dF(x, y)$, is the left hand side of the differential equation. That is, level curves $F(x, y) = C$ are solutions to the differential equation. If the equation is not exact, enter "not exact". $F(x, y) = \text{ }$

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A. Component Method 1. Using the component method, calculate the resultant of the following three force vectors: Vector A B C Force (N) 10 14 20 Direction with Respect to x-axis 40° 120° 230° 2. Record the appropriate values in Data Table 1. 3. Find the magnitude and the direction of the resultant and call it R. In this experiment, we will use the value of the mass in grams hanging from the end of a string to represent the force in that string.

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A 4-pole DC motor is lap-wound with 400 conductors. Flux per pole is 0.0188 Wb. The motor draws 25 A and runs at 1500 RPM. Calculate Induced emf, Mechanical power developed, and Torque developed.

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Choose the following organs that are specialized for rapid diffusion of molecules due to microvilli. Kidneys Urinary bladder Brain Stomach Small intestine

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Question 18 (3 points) Which of the following is NOT true about the centrosome? It serves as the attachment point for the kinetochore. It sets up polarity during cell division. It contains centrioles in animal cells. It serves as an organizer of microtubules. It duplicates prior to prophase.

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Assume that one year ago, you bought 240 shares of a mutual fund for $23 per share and that you received an income dividend of $0.22 cents per share and a capital gain distribution of $0.30 cents per share during the past 12 months. Also assume the market value of the fund is now $32 a share. Calculate the percentage of total return for your $5,520 investment. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Percent of total return %

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The position of a particle moving along a coordinate line is $s = \sqrt{63 + 6t}$, with s in meters and t in seconds. Find the rate of change of the particle's position at t = 3 sec. The rate of change of the particle's position at t = 3 sec is m/sec. (Type an integer or a simplified fraction.)

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Consider the following two sets of Euclidean vectors: $U = \left\{ \begin{bmatrix} x \\ y \\ z \end{bmatrix} \Big| y^2 + x = 3z \right\}$ $W = \left\{ \begin{bmatrix} x \\ y \\ z \end{bmatrix} \Big| 3x = 5y + 3z \right\}$ Explain why one of these sets is a subspace of $R^3$ and one is not.

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kenneth l.