Numerade

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Prove that, if A, B, and C are sets such that (A ∩ C) ⊆ (B ∩ C), then A ⊆ B.

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A good source of carbohydrates is pasta salmon. olive oil. Ocheddar cheese

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Question 1 1 pts $150 $145 MC $140 $135 $130 $125 $120 ATC $115 $110 $105 $100 $95 $90 $85 $80 AVC $75 $70 $65 $60 $55 $50 $45 $40 $35 $30 $25 0 1 2 3 4 5 6 7 8 9 10 11 Quantity Produced The graph above shows the short-run cost functions for a perfectly competitive profit maximizing firm. If the market price of the product equals $145 per unit, the firm will produce units and will make an economic profit of dollars.

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4. If a man with type AB has children with a woman with blood type A what are the possible blood types of the children? Include the phenotypes and ratios of the outcomes. (There are 2 potential crosses with outcomes in this question)

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As a Board Member of Adrenaline Assets Corporation, you serve on the Remuneration Committee and are currently designing the remuneration package for the new CEO. You seek help from a remuneration consultancy who recommend an innovative plan. They propose that the CEO's total possible remuneration should be structured as follows: 1/3 paid as fixed salary, 1/3 as restricted shares and 1/3 in the company's bonds. Is this a good plan for the company? Evaluate the plan, discuss what it is trying to achieve and suggest any improvements. (You may use note form/bullet points to answer this question.)

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Find the absolute maximum and absolute minimum of $g(x) = x^3 - 6x^2 + 9x - 2$ in the interval $[0, 4]$. Find $f'(x)$ for each of the following: (i) $f(x) = \left(\frac{2x-1}{3+\sqrt{x}}\right)^5 + \tan(\cos x + \sin x)$ (ii) $f(x) = \frac{5}{\cot x + 5}$ (iii) $f(x) = \sin^{-1}(2x + 3) + \tan^{-1}(\sqrt{x}) + \ln(x^2 + 1) + 2^x$ (iv) $f(x) = \sec(4\ln x) - \csc^{-1}(1 - 2x)$ (v) $f(x) = (4x^5 - 6x) \left(3 - \frac{1}{x}\right)^3 (\cos x - \cot x).$ (vi) $f(x) = (x^2 + 2)(x + 1)$

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Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow procedure that utilized water containing the nutrient, they planted six tomato plants and recorded the heights of each plant 14 days after germination. Those heights, measured in millimeters, were 55.6, 59.7, 61.2, 63.8, 65.6, and 70.7. Complete parts a through d below a. Using technology, find the 95% confidence interval for the population mean µ. (Round to one decimal place as needed.) b. Name two things you could do to get a narrower interval than the one in part a. Choose the correct choice below. A. Decrease the confidence level or decrease the sample size. B. Decrease the confidence level or increase the sample size. C. Increase the confidence level or decrease the sample size. D. Increase the confidence level or increase the sample size. c. Using technology, construct a 99% confidence interval (Round to one decimal place as needed.)

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Slot A 6 m ? B Slot

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At time $t=0$ a positively charged particle of mass $m=3.4$ g and charge $q=10.44$ µC is injected into the region of the uniform magnetic $B=B$ k and electric $E=-E$ k fields with the initial velocity $v=v_o$ i. The magnitudes of the fields: $B=0.555$ T, $E=410$ V/m, and the initial speed $v_o=3.3$ m/s are given. Find at what time $t$, the particle's speed would become equal to $v(t)=3.3 \cdot v_o$: t=\\ S.

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Consider the circuit shown in Figure 1. A 200 ? 100 ? $I_1$ B C $I_2$ $I_5$ $I_6$ $I_3$ 500 V + 400 mA 300 ? - E 100 ? D $I_4$ Figure 1 (i) Solve the circuit in Figure 1 to calculate: • The values for each of the node voltages: $V_A$, $V_B$ and $V_C$. • The values for each of the branch currents: $I_1$, $I_2$, $I_3$, $I_4$, $I_5$ and $I_6$.

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meghan y.