Numerade

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Use the binomial theorem to find the 2nd term in the expansion of $(2x + 3y)^{10}$ a. $15360x^9y$ b. $1024x^{10}$ c. $1024x^{10}y$ d. None e. $15360x^{10}y$

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1. Given the set $U = \{1,2,3,4,5,6,7,8,9,10,11\}$. Let $A = \{1,3,4,5,7\}$, $B = \{2,4,7,9\}$, $C = \{3,4,5,6\}$. Find the following: i) $A \cup B$ ii) $A \cap B$ iii) $\bar{C}$ iv) $A \cap \bar{B}$ v) $C \cap (A \cup B)$ *vi) $C \cap \overline{A \cap B}$

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Will High Availability (HA) restart VMs in a cluster if the vCenter was on the host that failed?

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What role does inflation play in exchange rate determination? a High inflation strengthens a currency b High inflation weakens a currency c Inflation has no impact on exchange rates d Inflation is determined solely by exchange rates

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the function of the ovaries is to produce eggs and blank such as progesterone, estrogens, an inhibin

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ow many clock cycles does it take to execute 10 instructions? What is the throughput (defined as the average number of instructions per clock cycle)

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Texts: Topez Ltd provides a defined benefit superannuation plan for its senior managers. The following information is available in relation to the plan. • Present value of the defined benefit obligation 1 July 2023: $10,000,000 • Fair value of plan assets 1 July 2023: $9,500,000 • Past service cost: $300,000 • Current service cost: $700,000 • Contributions paid by Topez Ltd to the fund during the year: $1,500,000 • Benefits paid by the fund to past employees during the year: $600,000 • Actuarial gain pertaining to the present value of the defined benefit obligation as a result of an increase in the interest rate: $300,000. • Return on plan assets: $700,000 • Present value of the defined benefit obligation 30 June 2024: ? • Fair value of plan assets at 30 June 2024: ? Additional information • The relevant interest rate is 7%. • The asset ceiling was $500,000 at 30 June 2023 and $1,000,000 at 30 June 2024. • All contributions received by the funds were paid by Topez Ltd. Employees make no contributions. Required: Provide the note disclosure in the financial statements of Topez Ltd to reconcile the i) plan assets and ii) defined benefit obligation, for the year ended 30 June 2024. You may ignore tax. (11 marks)

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10. Find the volume of the region between $y = \cos x$, $y = \sin x$, $x = 0$ and $x = \frac{\pi}{4}$ when revolved about the x-axis.

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When comparing 65-year-olds to 75-year-olds with those over the age of 85, the largest increase is among those who live: with nonfamily, alone, in group quarters including nursing homes or other healthcare facilities, or with a spouse or partner.

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Determine the indicated roots of the given complex number. When it is possible, write the roots in the form $a + bi$, where $a$ and $b$ are real numbers and do not involve the use of a trigonometric function. Otherwise, leave the roots in polar form. The three cube roots of $-4 - 4\sqrt{3}i$. $x_0 = $ $x_1 = $ $x_2 = $

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larry m.