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3. An exponential sequence is defined by \( 30, 15, 7 \frac{1}{2}, \ldots \). Find the sum to infinity of this sequence. A. 15 B. 30 C. 45 D. 60
Pre Algebra Jan 30, 2025
2. A function is defined by f: \( x \rightarrow \frac{3 x+1}{2} \) Find \( f^{-1}(x) \). \( -\mathrm{A}+\frac{\mathrm{B}}{\mathrm{B}} \mathrm{Za} \) \( C .+2 \) D.
Algebra Jan 30, 2025
1. Which of the following binary operations is not commutative? B. ace \( b=2 a+2 b-a b \) C \( a C b=\frac{1}{a}+\frac{1}{a} \) D. \( a 0 b=a-b+a b \)
Algebra Jan 30, 2025
shate in pencil on your ahswer sheer the unswer sp choven Give only ane 1. A girl mixed three ingredients to prepare her favourite drink. The drink contained \( 20 \% \) sugar, \( \frac{1}{4} \) milk, 0.48 peanut butter. Which of these ingredients connributed the most to the drink A Sugar B. Milk C. Peanut butter D They all contributed equally to the drink 2. Sulley invested \( \$ 5000 \) for 2 years with Ecobank at \( 6 \% \) per annum interest. How much will Sulley receive from the bank at the end of the 2 years? A. \( \$ 300 \) B. \( \$ 5300 \) C. \( \$ 600 \) D. \( \$ 5600 \) 3. In a class of seventy-two pupils there are forty-six girls. What is the ratio of boys to girls? A. \( 13: 26 \) B. \( 23: 13 \) C. \( 13: 23 \) D. \( 26: 13 \) 4. Given that \( x^{\circ} \) and \( 68^{\circ} \) are supplementary angles, find the value of \( x \) ? A. \( 22^{\circ} \) B. \( 112^{\circ} \) C. \( 12^{\circ} \)
Arithmetic Jan 30, 2025
Find the fraction that is equivalent to with denominator 24 \( \frac{3}{4} \)
Arithmetic Jan 30, 2025
Find the volume of the solid formed by rotating the area under the curve \( y = \frac{1}{x} \) from \( x = 1 \) to \( x = 3 \) about the y-axis.
Calculus Jan 30, 2025
From the first prinaiple, difterentiate with respect to \( x \) (i) \( \frac{-x}{2}+u \) (i) \( \frac{1}{2 \sqrt{x}} \)
Calculus Jan 30, 2025
Witho it using mathematical tables or calculator a. \( \frac{0.015 \times 0.567}{0.05 \times 0.189} \)
Arithmetic Jan 30, 2025
(a). Kisiwaa puts \( \frac{1}{4} \) of her salary in savings and uses \( \frac{1}{2} \) of the remaining money to pay back her sister. If the amount left is GHC \( 2,400.00 \), how much did she have as salary? (b). A dance academy charges GHC 20.00 to use the facility and GHC 25 per hour of instruction. (i) Write an equation that gives the total cost to learn at the dance academy as a function of hours of instruction. (ii) Find the total cost of 2 hours of dance instruction. Find the perimeter and area of the shape below. (c).
Algebra Jan 29, 2025
Prove \( \int a^{x} d x=\frac{a^{x}}{\ln a}+c \)
Calculus Jan 29, 2025
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