Recent questions tagged problem-solving

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Express each of the following as rate percent : (a) 2/3 (b) 3/4 (c) 1/4 (d) 1/3 (e) 1/8 (f) 1/16 (g) 21/4 (h) 5/6
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1.Express each of the following as a fraction :(a) 56% (b) 0.25% (c) 4% (d) 80%(e) 25% (f) 1% (g) 0.05% (h) 1.5%2. Express each of the following as rate percent :(a) 2/3 ...
118
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A shopkeeper cheats to the extent of 10% while buying as well as selling, by using false weights. His total gain is
100
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Let the density function of a random variable \( \mathrm{X} \) be given by \( f_{X}(x)=\frac{x+1}{2}, \quad-1 \leq x \leq 1 \). Then, the form of the density function of ...
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Let the density function of a random variable \( \mathrm{X} \) be given by \( f_{X}(x)=\frac{x+1}{2},-1 \leq x \leq 1 \). Then, the form of the density function of \( W=X...
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For the cumulative distribution function, find\[F(x)=\left\{\begin{aligned}0, & x<1 \\0.7, & 1 \leq x<4 \\0.9, & 4 \leq x<7 \\U, & 7 \leq x\end{aligned}\right.\]a. find U...
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Complete the following table for Refrigerant-134a. Use data from the steam tables.\begin{array}{|c|c|c|c|}\hlineT \,^{\circ}\mathrm{C} & P, \mathrm{kPa} & u, \mathrm{~kJ/...
127
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The following welding defects are observed due to the uneven thermal expansion and contraction of different regions of the welded assembly.a) Lamellar tearsb) Distortion ...
139
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152
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6 kmol of CO2 and 5 kmol of N2 are filled in a rigid tank at 300 K and 15 MPa. Find the volume of the tank.a) 1.830 m³b) 0.638 m³c) 0.648 m³d) 0.652 m³give correct an...
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186
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Using a standard deck of 52 playing cards you are dealt 5 cards. What is the probability that youwill be dealt at least 1 ace? give answer as decimal Answer:
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A group of eleven individuals is to be divided into two teams (Team A and Team B) of respective sizes 5 and 6. In how many ways can this be done? Give mathematical justif...
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Why is math important in everyday life?
153
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305
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How can I improve my speed in solving math problems?
139
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Simplify \(\sqrt[15]{243}\)
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Simplify \( (x+5)(x+2) \)
123
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SImplify \((3 x) /\left(x^2+3\right)-(2 x) /\left(x^2+1\right)\)
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I find it challenging to solve math problems efficiently. What strategies or techniques can I use to enhance my mathematical problem-solving skills?
378
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I want to enhance my problem-solving abilities and apply them in my daily activities. What steps can I take to achieve this?
169
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I find it challenging to solve math problems efficiently. What strategies or techniques can I use to enhance my mathematical problem-solving skills?
221
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Solve the equation.\[\log _3(2 x-3)=\log _3(x+5)\]
225
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Simplify \(2^x \cdot 8^{x+1}\)
234
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Simplify \(a^{2 x} \cdot a^{3 x+1}\)
212
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Rewrite \(5^3=125\) as a logarithmic equation.
550
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Rewrite \(\log _3 9=2\) as an exponential equation.
217
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a. Simplify \(\dfrac{3^{x+1}-3^x}{3^x}\)b. Hence or otherwise simplify \(\dfrac{3^{x+1}-3^x}{m \cdot 3^x+2^2 3^x}-\dfrac{3 m-12}{m^2-16}\)
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Simplify by rationalising the denominator (show all working without using a calculator)\(\dfrac{3}{\sqrt{7}-\sqrt{5}}\)
273
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Without using a calculator, simplify: \(\dfrac{(2 a)^{-2} \times 3 a^{-5}}{\left(a^3 b^{\frac{1}{2}}\right)^2 \times(a b)^0}\)
193
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Without using a calculator \(\dfrac{6^{2 m} \times 4^{-m}}{\left(3^m\right)^2}\)
466
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Simplify without using a calculator \(\dfrac{x^2}{1+x}\) if \(x=1+\sqrt{3}\)
451
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Simplify without using a calculator \(\dfrac{\sqrt{9^{x+2}}-\sqrt{9^{x-2}}}{3^{x-3}}\)
406
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How can I improve my problem-solving skills in math?
332
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Simplify \(\frac{\log 16}{\log 4}\)
259
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SImplify \(\dfrac{\left(\log _2 8\right)^2}{\log _2 8^2}\)
272
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simplify \(\log _3 \sqrt{27}\)
308
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Simplify \(\log _3 \frac{1}{27}\)
283
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simplify \(-\log 4-\log 25\)
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Simplify using laws of logs \(\log _3 27-\log _3 3\)
256
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Simplify \(\log _9 27+\log _9 3\)
316
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Use the properties of logarithms to simplify the expression log base 5 of 25 + log base 5 of 125.
242
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Simplify the expression log base 10 of 100.
207
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Simplify the expression log base 2 of 32.
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Sum of rational terms in \((\sqrt{2}+\sqrt[5]{3})^{10}\) is
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