# Recent questions tagged zimsec

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What is the probability that of 25 randomly selected students, no two share the same birthday?
What is the probability that of 25 randomly selected students, no two share the same birthday?What is the probability that of 25 randomly selected students, no two share the same birthday? ...
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Solve the equation $4 x^{2}-8 x-3=0$
Solve the equation $4 x^{2}-8 x-3=0$Solve the equation $4 x^{2}-8 x-3=0$ ...
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Did climate change cause the dust bowl?
Did climate change cause the dust bowl?Did climate change cause the dust bowl? ...
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$A, B, C$ and $D$ are points on the circumference of a circle such that $A B=B C$. $A F$ is a tangent to the circle through $A B C D$ at $A$.
$A, B, C$ and $D$ are points on the circumference of a circle such that $A B=B C$. $A F$ is a tangent to the circle through $A B C D$ at $A$. $A, B, C$ and $D$ are points on the circumference of a circle such that $A B=B C$. $A F$ is a tangent to the circle through $A B C D$ at \ ...
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Solve $8^{x}=\frac{2^{56}-4^{26}}{30}$
Solve $8^{x}=\frac{2^{56}-4^{26}}{30}$Solve $8^{x}=\frac{2^{56}-4^{26}}{30}$ ...
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What is $12\dfrac{1}{3}$ percent as a fraction?
What is $12\dfrac{1}{3}$ percent as a fraction?What is $12\dfrac{1}{3}$ percent as a fraction? ...
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Apply your knowledge on ratio and share R25 between Thando and Sibi in the ratio 2:3
Apply your knowledge on ratio and share R25 between Thando and Sibi in the ratio 2:3Apply your knowledge on ratio and share R25 between Thando and Sibi in the ratio 2:3 ...
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A cold drink is taken from a refrigerator and placed outside where the temperature is $32^{\circ} \mathrm{C}$.
A cold drink is taken from a refrigerator and placed outside where the temperature is $32^{\circ} \mathrm{C}$.A cold drink is taken from a refrigerator and placed outside where the temperature is $32^{\circ} \mathrm{C}$. After 25 minutes outside its temperat ...
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A cup of coffee, cooling off in a room at temperature $20^{\circ} \mathrm{C}$, has cooling constant $k=0.09 \mathrm{~min}^{-1} .$
A cup of coffee, cooling off in a room at temperature $20^{\circ} \mathrm{C}$, has cooling constant $k=0.09 \mathrm{~min}^{-1} .$(a) How fast is the coffee cooling (in degrees per minute) when its temperature is $T=80^{\circ} \mathrm{C} ?$ (b) Use linear approximation to estim ...
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The population of a bacteria culture grows at a rate that is proportional to the size of the population.
The population of a bacteria culture grows at a rate that is proportional to the size of the population.The population of a bacteria culture grows at a rate that is proportional to the size of the population. (a) Let $P$ denote the population of the c ...
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A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After three hours there are 8000 bacteria. Find the number of bacteria after four hours.A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After three hours there are 8000 bacteria. Find the number o ...
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A bacterial culture starts with 500 bacteria and after three hours there are 8000 . Assume that the culture grows at a rate proportional to its size.
A bacterial culture starts with 500 bacteria and after three hours there are 8000 . Assume that the culture grows at a rate proportional to its size.A bacterial culture starts with 500 bacteria and after three hours there are 8000 . Assume that the culture grows at a rate proportional to its size. ...
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In a certain culture of bacteria, the number of bacteria increased tenfold in 10 hours. Assuming natural growth, how long did it take for their number to double?
In a certain culture of bacteria, the number of bacteria increased tenfold in 10 hours. Assuming natural growth, how long did it take for their number to double?In a certain culture of bacteria, the number of bacteria increased tenfold in 10 hours. Assuming natural growth, how long did it take for their number ...
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Ignoring air resistance, give an expression for the time it takes for a ball to drop $H$ meters (from rest) under a constant gravitational acceleration $g$.
Ignoring air resistance, give an expression for the time it takes for a ball to drop $H$ meters (from rest) under a constant gravitational acceleration $g$.In 1939 , Joe Sprinz, a professional baseball player, attempted to catch a ball dropped from a blimp. This was done for the purpose of braking the rec ...
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A particle starts from rest (that is with initial velocity zero) at the point $x=10$ and moves along the $x$-axis with acceleration function $a(t)=12 t$. Find the resulting position function $x(t)$.A particle starts from rest (that is with initial velocity zero) at the point $x=10$ and moves along the $x$-axis with acceleration function $a(t ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The equation of position vs. time for a moving object, in SI units, is as \(x=-t^{2}+6 t-9 .$ Which of the following choices are correct?
The equation of position vs. time for a moving object, in SI units, is as $x=-t^{2}+6 t-9 .$ Which of the following choices are correct?The equation of position vs. time for a moving object, in SI units, is as $x=-t^{2}+6 t-9 .$ Which of the following choices are correct? (a) The ob ...
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Factorise $10 x y^2+52 x y$
Factorise $10 x y^2+52 x y$Factorise $10 x y^2+52 x y$ ...
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Solve the equation $4 y^{2}-12 y+9=0$
Solve the equation $4 y^{2}-12 y+9=0$Solve the equation $4 y^{2}-12 y+9=0$ ...
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Simplify $\frac{1}{7} \times \frac{9}{16} \times \frac{16}{9} \times \frac{16}{9} \times \frac{9}{16}=$
Simplify $\frac{1}{7} \times \frac{9}{16} \times \frac{16}{9} \times \frac{16}{9} \times \frac{9}{16}=$Simplify $\frac{1}{7} \times \frac{9}{16} \times \frac{16}{9} \times \frac{16}{9} \times \frac{9}{16}=$ ...
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What is a line graph?
What is a line graph?What is a line graph? ...
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How many times does your heart beat in a year?
How many times does your heart beat in a year?How many times does your heart beat in a year? ...
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Suppose you're tiling the floor of a $10 \mathrm{ft}$ by $10 \mathrm{ft}$ room, and find that 100 tiles will be needed. How many tiles will be needed to tile the floor of a $20 \mathrm{ft}$ by $20 \mathrm{ft}$ room?Suppose you're tiling the floor of a $10 \mathrm{ft}$ by $10 \mathrm{ft}$ room, and find that 100 tiles will be needed. How many tiles will be nee ...
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A bicycle is traveling at 15 miles per hour. How many feet will it cover in 20 seconds?
A bicycle is traveling at 15 miles per hour. How many feet will it cover in 20 seconds?A bicycle is traveling at 15 miles per hour. How many feet will it cover in 20 seconds? ...
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Use the factor theorem to show that $x=-3$ is a solution to $\mathrm{f}(x)=0$
Use the factor theorem to show that $x=-3$ is a solution to $\mathrm{f}(x)=0$\ \mathrm{f}(x)=x^{3}+6 x^{2}+4 x-15 \ (a) Use the factor theorem to show that $x=-3$ is a solution to $\mathrm{f}(x)=0$ (b) Find the other so ...
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Given that $(x-2)$ is a factor of $\mathrm{f}(x)$ find the value of $k$
Given that $(x-2)$ is a factor of $\mathrm{f}(x)$ find the value of $k$\ \mathrm{f}(x)=x^{3}+k x-2 \ (a) Given that $(x-2)$ is a factor of $\mathrm{f}(x)$ find the value of $k$ (b) Solve the equation $\mathrm{f ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Use the factor theorem to show that \((x-2)$ is a factor of $\mathrm{f}(x)$
Use the factor theorem to show that $(x-2)$ is a factor of $\mathrm{f}(x)$\ \mathrm{f}(x)=2 x^{3}-x^{2}-13 x+14 \ (a) Use the factor theorem to show that $(x-2)$ is a factor of $\mathrm{f}(x)$ (b) Hence, or otherwise ...
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Use the factor theorem to show that $(x+3)$ is a factor of $\mathrm{g}(x)$
Use the factor theorem to show that $(x+3)$ is a factor of $\mathrm{g}(x)$\ \mathrm{g}(x)=4 x^{3}-8 x^{2}-35 x+75 \ (a) Use the factor theorem to show that $(x+3)$ is a factor of $\mathrm{g}(x)$ (b) Hence show that \ ...
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$\mathrm{f}(x)=2 x^{3}-7 x^{2}-17 x+10$ Use the factor theorem and division to factorise $\mathrm{f}(x)$ completely.
$\mathrm{f}(x)=2 x^{3}-7 x^{2}-17 x+10$ Use the factor theorem and division to factorise $\mathrm{f}(x)$ completely.\ \mathrm{f}(x)=2 x^{3}-7 x^{2}-17 x+10 \ Use the factor theorem and division to factorise $\mathrm{f}(x)$ completely. ...
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Find the value of $x$ such that $\frac{1+x}{x}=\sqrt{5}$ Giving your answer in the form $a+b \sqrt{5}$ where $a$ and $b$ are rational numbers.
Find the value of $x$ such that $\frac{1+x}{x}=\sqrt{5}$ Giving your answer in the form $a+b \sqrt{5}$ where $a$ and $b$ are rational numbers.Find the value of $x$ such that \ \frac{1+x}{x}=\sqrt{5} \ Giving your answer in the form $a+b \sqrt{5}$ where $a$ and $b$ are rational numb ...
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Factorise completely: $75 x-12 x^{3}$
Factorise completely: $75 x-12 x^{3}$Factorise completely: $75 x-12 x^{3}$ ...
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Factorise completely: $x-16 x^{3}$
Factorise completely: $x-16 x^{3}$Factorise completely: $x-16 x^{3}$ ...
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(a) Solve the equation: $x^{2}-9 x+8=0$ (b) Hence solve the equation: $y^{3}-9 y^{\frac{3}{2}}+8=0$
(a) Solve the equation: $x^{2}-9 x+8=0$ (b) Hence solve the equation: $y^{3}-9 y^{\frac{3}{2}}+8=0$(a) Solve the equation: $x^{2}-9 x+8=0$ (b) Hence solve the equation: $y^{3}-9 y^{\frac{3}{2}}+8=0$ ...
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Given $y=2^{x}$ - Express $4^{x}$ in terms of $y$.
Given $y=2^{x}$ - Express $4^{x}$ in terms of $y$.Given $y=2^{x}$ (a) Express $4^{x}$ in terms of $y$. (b) Hence, or otherwise, solve $4^{x}-6\left(2^{x}\right)-16=0$ ...
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Express $8^{2 x-5}$ in the form $2^{y}$, giving $y$ in the form $a x+b$, where $a$ and $b$ are constants.
Express $8^{2 x-5}$ in the form $2^{y}$, giving $y$ in the form $a x+b$, where $a$ and $b$ are constants.Express $8^{2 x-5}$ in the form $2^{y}$, giving $y$ in the form $a x+b$, where $a$ and $b$ are constants. ...
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A train is traveling 20 kilometers per hour. It is .5 kilometers behind you. You want to beat the train to a crossing that is .5 kilometers away. How fast must you run?
A train is traveling 20 kilometers per hour. It is .5 kilometers behind you. You want to beat the train to a crossing that is .5 kilometers away. How fast must you run?A train is traveling 20 kilometers per hour. It is .5 kilometers behind you. You want to beat the train to a crossing that is .5 kilometers away. How ...
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Below is a diagram of a charged object (conductor) at electrostatic equilibrium. Points $A, B$, and $D$ are on the surface of the object, whereas point $\mathrm{C}$ is located inside the object. Below is a diagram of a charged object (conductor) at electrostatic equilibrium. Points $A, B$, and $D$ are on the surface of the object, wherea ...
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An electric pole, 7 meters high, casts a shadow of 5 meters. Find the height of a tree that casts a shadow of 10 meters under similar conditions.
An electric pole, 7 meters high, casts a shadow of 5 meters. Find the height of a tree that casts a shadow of 10 meters under similar conditions.An electric pole, 7 meters high, casts a shadow of 5 meters. Find the height of a tree that casts a shadow of 10 meters under similar conditions. ...
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A map is drawn to a scale of 1:75000. This scale can be expressed as $1cm$ respresents $n \mathrm{~km}$. Find $n$.
A map is drawn to a scale of 1:75000. This scale can be expressed as $1cm$ respresents $n \mathrm{~km}$. Find $n$.A map is drawn to a scale of 1:75000. This scale can be expressed as $1cm$ respresents $n \mathrm{~km}$. Find $n$. ...
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A learner did a project on climate change At 14: 00 each day, she record ed the temperature (in $\left.{ }^{\circ} \mathrm{C}\right)$ for a certain town. The information is given in the frequency table below. A learner did a project on climate change At 14: 00 each day, she record ed the temperature (in $\left.{ }^{\circ} \mathrm{C}\right)$ for a certai ...
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Express 80 as a product of primes.
Express 80 as a product of primes.Express 80 as a product of primes. ...
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Show that $\overrightarrow{P Q}$ is perpendicular to $\overrightarrow{R S}$
Show that $\overrightarrow{P Q}$ is perpendicular to $\overrightarrow{R S}$(a) Given that $m=(6 i+8 j)$ and $n=\left(-8 i+\frac{7}{3} j\right)$, find the : (i) magnitudes and direction of $\mathrm{m}$ and \(\mathrm{n} ; ...
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What number did she think of?
What number did she think of?Boguslawa thinks of a number. She trebles the number. She then subtracts 8 . Boguslawa's answer is 16 . What number did she think of? ...
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Convert the hexadecimal number $68 \mathrm{BE}$ to binary and then from binary convert it to octal.
Convert the hexadecimal number $68 \mathrm{BE}$ to binary and then from binary convert it to octal.Convert the hexadecimal number $68 \mathrm{BE}$ to binary and then from binary convert it to octal. ...
A student travelled for $x$ hours at $5 \mathrm{~km} / \mathrm{hr}$ and for $\mathrm{y}$ hours at $10 \mathrm{~km} / \mathrm{hr}$.
A student travelled for $x$ hours at $5 \mathrm{~km} / \mathrm{hr}$ and for $\mathrm{y}$ hours at $10 \mathrm{~km} / \mathrm{hr}$.A student travelled for $x$ hours at $5 \mathrm{~km} / \mathrm{hr}$ and for $\mathrm{y}$ hours at $10 \mathrm{~km} / \mathrm{hr}$. The journey was $35 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Suppose the position of an object at time$t$is given by$f(t)=-49 t^{2} / 10+5 t+10 .$Find a function giving the speed of the object at time$t .$1 answer 273 views Suppose the position of an object at time$t$is given by$f(t)=-49 t^{2} / 10+5 t+10 .$Find a function giving the speed of the object at time$t .$Suppose the position of an object at time$t$is given by$f(t)=-49 t^{2} / 10+5 t+10 .$Find a function giving the speed of the object at time$t .$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is a linear equation? 1 answer 71 views What is a linear equation?What is a linear equation? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is an argand diagram? 1 answer 98 views What is an argand diagram?What is an argand diagram? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 An average human body contains around$30,000,000,000,000$red blood cells. Each cell measures approximately$0.000008 \mathrm{~m}$long. 0 answers 158 views An average human body contains around$30,000,000,000,000$red blood cells. Each cell measures approximately$0.000008 \mathrm{~m}$long.An average human body contains around$30,000,000,000,000$red blood cells. Each cell measures approximately$0.000008 \mathrm{~m}$long. Write each n ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given the function$f(x)=5 x^{2}+5 x-4$, calculate$f(-2)$1 answer 131 views Given the function$f(x)=5 x^{2}+5 x-4$, calculate$f(-2)$Given the function$f(x)=5 x^{2}+5 x-4$, calculate$f(-2)$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given the function$f(x)=5 x^{2}-5 x+14$, calculate$f(5)$.$f(5)=$1 answer 126 views Given the function$f(x)=5 x^{2}-5 x+14$, calculate$f(5)$.$f(5)=$Given the function$f(x)=5 x^{2}-5 x+14$, calculate$f(5)$.$f(5)=\$ ...