Numerade

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Determine the largest number of teeth for spur gear that is interference-free knowing that Np = 15, full depth teeth and pressure angle of 20 degree Select one: a. 26 teeth b. 45 teeth c. 101 teeth d. 1309 teeth

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10. Your grandparents have an annuity. The value of the annuity increases each month by in automatic deposit of $ 1 \% $ interest on the previous month's balance. Your grandparents withdraw 51000 at the beginning of each month for living expenses. Currently, they have $ \$ 50,000 $ in the annuity. Model the annuity with a dynamical system. Will the annuity run out of money? When? Hint: What value will $ a_{m} $ have when the annuity is depleted?

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2. Find the maximum weight the package can be if the maximum strength of any of the ropes is 500 lbs.

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Find class boundaries, midpoint, and width for the class. 131-135 Part: 0/3 Part 1 of 3 The class boundaries for the class are

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Give your views for this debatable question: Is state sovereignty declining in the interstate system? Traditionally, state sovereignty has been viewed as the core principle of the interstate system. However, in the advent of globalization, various developments affected key actors, primarily the state which questions the power they used to enjoy within their borders \begin{tabular}{|l|l|} \hline YES & NO \\ \hline & \\ & \\ & \\ & \\ & \\ & \\ \hline \end{tabular}

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8. Convert the polar equation to rectangular form: $r \cos \theta \sin \theta = 7$

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(a) State the domain of the function, (b) identify all intercepts, (c) find any vertical and horizontal asymptotes and give the reasoning of behavior of function near asymptotes, (d) plot additional points as needed to sketch the graph of rational function. Sketch reasonably accurate graph on given graph paper with suitable scales on axes.\\ $R(x) = \frac{(x^2 + 3x)}{(x^2 - x - 2)}$ (13)

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A 500-turns coil of area $A = 4.9 \times 10^{-2} \text{ m}^2$ is placed in a uniform magnetic field $B = 0.4 \text{ T}$ parallel to the coil plane. Find the magnitude of the initial torque (in N.m) on the coil if it carries a current of $I = 26 \text{ A}$.

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Problem 1: Inputs: F? = 4 kN F? = 2 kN a = b = c = 2 m

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4. A flat surface with area 9.0 cm² is in a uniform magnetic field $\vec{B}$. The Magnetic flux $\phi$ through this surface is +0.30 mWb. What is the magnitude of the magnetic field and direction of the area vector $\vec{A}$ if the surface is at 60° with the direction of the field? a) 0.0385T, 30° to $\vec{B}$ b) 0.385T, 30° to $\vec{B}$ c) 0.385T, 60° to $\vec{B}$ d) 0.0385T, 60° to $\vec{B}$

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wayne t.