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$\begin{pmatrix}\large\frac{xy^n}{(xy)^{2n}} \end{pmatrix}^{2n}$ if $x=-2, \; y=3$ and $n=-1$
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math
problem
solving
and
data
analysis
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asked
Dec 2, 2019
by
priyanka.clay6
1
answer
Evaluate : $\large\frac{3^5 \times 3^{-2}}{(3^{-3})^2}$
sat
math
problem
solving
and
data
analysis
calculator
asked
Dec 2, 2019
by
priyanka.clay6
1
answer
The points of intersection of $f(x)=2x^2+4x-11$ and $g(x)=-3x+4$ is
sat
math
quadratic-equations
calculator
asked
Dec 2, 2019
by
priyanka.clay6
1
answer
$\Delta OAB$ is isosceles with $OA=OB$ and $AB$ is parallel to $CD$ and the height of the $\Delta OCD$ is $3$. The area of the $\Delta OAB$ is
sat
math
lines-angles-and-triangles
calculator
asked
Dec 2, 2019
by
priyanka.clay6
1
answer
What is the value of $'b'$, so that the sequence $2b-1, \;b+2,\;2b+1$ forms an arithmetic progression ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Dec 2, 2019
by
priyanka.clay6
1
answer
If the distance between a 13 feet ladder and a vertical wall is 5 feet along the ground, how high can a person climb if the ladder is inclined against the wall ?
sat
math
lines-angles-and-triangles
calculator
asked
Dec 2, 2019
by
priyanka.clay6
1
answer
What is the area of the parallelogram shown in the figure below ?
sat
math
lines-angles-and-triangles
calculator
asked
Dec 2, 2019
by
priyanka.clay6
1
answer
Solve for $r : \;27^{6-r}=9^{r-1}$
sat
math
problem-solving-and-data-analysis
calculator
asked
Dec 2, 2019
by
priyanka.clay6
1
answer
The probability that Juan does his math home work tonight is $\large\frac{2}{5} $ and Nicole does her homework is $\large\frac{9}{10}$ and that Amy does her homework is $\large\frac{7}{9}$ <br><br> QUESTION : What is the probability that at least one of them does the homework ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Dec 2, 2019
by
priyanka.clay6
1
answer
The probability that Juan does his math home work tonight is $\large\frac{2}{5} $ and Nicole does her homework is $\large\frac{9}{10}$ and that Amy does her homework is $\large\frac{7}{9}$ What is the probability that none of them do their homework ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Dec 1, 2019
by
priyanka.clay6
1
answer
Simplify $\large\frac{x^{-3}}{2y^3}(\large\frac{1}{xy})^{-3}$
sat
math
problem-solving-and-data-analysis
calculator
asked
Dec 1, 2019
by
priyanka.clay6
1
answer
Simplify $\large\frac{2}{(x-1)^2} - \large\frac{2}{(1-x^2)}$
sat
math
quadratic-equations
calculator
asked
Dec 1, 2019
by
priyanka.clay6
1
answer
Catherine is twice as old as her daughter. Twelve years ago she was three times as old as her daughter. Then the age of Catherine is
sat
math
linear-equations
calculator
asked
Dec 1, 2019
by
priyanka.clay6
1
answer
The volume of a sphere whose surface area equals its volume is
sat
math
problem-solving-and-data-analysis
calculator
asked
Dec 1, 2019
by
priyanka.clay6
1
answer
A gum ball machine contains 40 blue gum balls, 25 red gum balls, 18 green gum balls and 30 purple gum balls. What is the probability that you get a red gum ball ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Dec 1, 2019
by
priyanka.clay6
1
answer
If $(x-1)^x = 1$ and $x \neq 1$, then all the possible values of $x$ are
sat
math
quadratic-equations
calculator
asked
Dec 1, 2019
by
priyanka.clay6
1
answer
Jack buys several articles for $'n'$ costs per dozen and his selling price is $\large\frac{n}{9}$ cent per article. What is the profit in cents on each article ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Dec 1, 2019
by
priyanka.clay6
1
answer
If $f(y)=\tan y+ \cot y$, then the value of $f(\large\frac{\pi}{4})$ is
sat
math
trigonometry
calculator
asked
Dec 1, 2019
by
priyanka.clay6
1
answer
Which of the following is the graph of a line perpendicular to the line defined by the equation $2x+5y=10 ?$
sat
math
linear-equations
calculator
asked
Dec 1, 2019
by
priyanka.clay6
1
answer
The bar graph below shows the preferred breakfast for 40 students belonging to class $IX$. The number of students who prefer pancakes as a percentage of the total number of students is
sat
math
problem-solving-and-data-analysis
calculator
asked
Dec 1, 2019
by
priyanka.clay6
1
answer
Michelle had a kite and he wanted to fly from his garden. The kite is shaped as shown in the figure. What can be the length of the line segment AE ?
sat
math
lines-angles-and-triangles
calculator
asked
Nov 28, 2019
by
priyanka.clay6
1
answer
In the fig. $\angle{PQR} = 100^{\circ}$ where $P, Q $ and $R $ are points on the circle with center $O$. Find $\angle{OPR}$
sat
math
circles
calculator
asked
Nov 28, 2019
by
priyanka.clay6
1
answer
Two circles o radii 5 cm and 3 cm and centres A and B touch internally. If the perpendicular bisector of segment AB meets the bigger circle in P and Q. Find the length of PQ.
sat
math
circles
calculator
asked
Nov 28, 2019
by
priyanka.clay6
1
answer
The value of $\large(\frac{729}{512})^{-2/3}$
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math
problem-solving-and-data-analysis
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asked
Nov 28, 2019
by
priyanka.clay6
1
answer
Which of the following expressions is equivalent to $(6+5i)^3$
sat
math
trigonometry
calculator
asked
Nov 28, 2019
by
priyanka.clay6
1
answer
sat
math
linear-equations
calculator
asked
Nov 28, 2019
by
priyanka.clay6
1
answer
A plumber charges a one-time site visit fee to evaluate a potential job. If he accepts the job, he charges an hourly rate plus the cost of any materials needed to complete the job. He also charges for tax, only on the cost of the materials. If the cost of completing a job that takes $'x'$ hours is given by the function $c(x) = 50x + 1.25 (83.5) + 75$, then the term $1.25(83.5 )$ represents
sat
math
linear-equations
calculator
asked
Nov 28, 2019
by
priyanka.clay6
1
answer
The simplified expression of $(3x^4+x^3-12)+(x^4-x^3+x^2-6)$ is
sat
math
linear-equations
calculator
asked
Nov 28, 2019
by
priyanka.clay6
1
answer
Ryan has a bag containing 12 marbles. 4 are red, 4 are blue and 4 are yellow. What is the probability of Ryan drawing out of the bag first a blue marble and then a yellow, if he doesn't replace the first marble he drew ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Nov 28, 2019
by
priyanka.clay6
1
answer
A scientist is doing a study to determine the typical levels of carbon monoxide in the air of automotive garages. She measures the air quality at 8 different garages and gets the following result : 13 ppm, 26 ppm, 4 ppm, 36 ppm, 12 ppm, 19 ppm, 5 ppm, and 9 ppm. What is the mean of her data set ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Nov 28, 2019
by
priyanka.clay6
1
answer
A building is to be built on a lot that measures 80 m by 60 m. A lawn of uniform width, equal to the area of the building, must surround it. How wide is the strip of lawn.
sat
math
quadratic-equations
calculator
asked
Nov 28, 2019
by
priyanka.clay6
1
answer
$-\dfrac{1}{5} x -20 \geq -5$ implies
sat
math
linear-equations
calculator
asked
Nov 27, 2019
by
priyanka.clay6
1
answer
In the figure given below two circles of radii 4 cm each is as shown. PQRS is a rectangle and PQ and RS are the radii. What is the area of the shaded area ?
sat
math
circles
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
The probability of throwing at least one one in a simple throw with two dice is
sat
math
problem-solving-and-data-analysis
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
If $\begin{align*}\frac{\sin \theta + \cos \theta}{\sin \theta - \cos \theta} = \frac{\sqrt{3}+1}{\sqrt{3}-1} \end{align*}$, then the acute angle $\theta$ is
sat
math
trigonometry
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
Find the value of $\begin{align*} 6\sqrt{27} - \sqrt{6 \frac{3}{4}}\end{align*}$
sat
math
problem-solving-and-data-analysis
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
A farmer ha a corn field which is 40 acres in measure. 4 men can reap 40 acres in 30 days. How many acres of land will 18 men reap in 12 days ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
Find the value of $x$ and $y$.
sat
math
lines-angles-and-triangles
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
Alex and Jim start from their home and move in perpendicular directions as shown in the figure. The co-ordinates of their mid points is $(4,-3)$, what can be the co-ordinate of Alex and Jim ?
sat
math
lines-angles-and-triangles
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
Jack shot 100m from the hole during his golf ****. But he wanted the ball to land 5 m in front of the hole, so that it can role to the hole. A 20 m tree is between his ball and the hole, 40 m from the hole and 60m from his ball. With the base of the tree as the origin, write an algebraic expression to model the height of the ball if it just clears the top of the tree.
sat
math
quadratic-equations
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
Cathy walked to school at an average speed of 2.5 miles per hour and jogged back along the same route at an average speed of 6 miles per hour. If her total travelling time was 1.5 hours, what was the total number of miles in the round trip ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
If $w=\dfrac{1}{8} $ then which of the following is equal to $w^{\large\frac{2}{3}} ?$
sat
math
problem-solving-and-data-analysis
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
A rectangular swimming pool has a depth of 10 feet, a width of 26 feet. Water flows into the pool at the rate of 75 feet per hour. How long will it take to fill half its capacity ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
A construction working repairing a window tosses a tool to his partner across the street. The height of the tool above the ground is modelled by the quadratic function $h(t)=-5t^2+20t+25$, where $h(t)$ is in metres and $t$ is the time in seconds, after the toss. <br><br> QUESTION : Determine the domain and range of the function in this situation.
sat
math
quadratic-equations
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
A construction working repairing a window tosses a tool to his partner across the street. The height of the tool above the ground is modelled by the quadratic function $h(t)=-5t^2+20t+25$, where $h(t)$ is in metres and $t$ is the time in seconds, after the toss. <br><br> QUESTION: If the path of the tools height were graphed, where would the axis of symmetry be ?
sat
math
quadratic-equations
calculator
asked
Nov 25, 2019
by
priyanka.clay6
1
answer
A construction working repairing a window tosses a tool to his partner across the street. The height of the tool above the ground is modelled by the quadratic function $h(t)=-5t^2+20t+25$, where $h(t)$ is in metres and $t$ is the time in seconds, after the toss. <br><br> QUESTION: How high above the ground is the window ?
sat
math
quadratic-equations
calculator
asked
Nov 24, 2019
by
priyanka.clay6
1
answer
A school tornado has enough food to last 20 children for 6 days. If 24 children ended up taking shelter together, for how many fewer days will the food last ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Nov 24, 2019
by
priyanka.clay6
1
answer
Jim, **** and Shane work at a widget factory. The table below shows for a given day, the number of hours they each spent at the factory, the number of widgets they produced, and the number of 15-minute breaks they took while they were in the factory. Each man works at a constant rate. <br> Jim and **** are each assigned an equal number of widgets. Neither will take breaks in order to complete this assignment as quickly as possible. Jim offers to do a certain percentage of ****'s assignment so that they both finish at the same time. What percentage of original assignment of **** does Jim do ?
sat
math
problem-solving-and-data-analysis
calculator
asked
Nov 24, 2019
by
priyanka.clay6
1
answer
Which of the following is not a solution of the inequality $3x-5 \geq 4x-3$
sat
math
linear-equations
calculator
asked
Nov 24, 2019
by
priyanka.clay6
1
answer
Which of the following equation is equivalent to ? <br> $\qquad \frac{2t+1}{2t^2-14t+24}+\frac{5t}{4t^2-8t-12}$
sat
math
quadratic-equations
calculator
asked
Nov 24, 2019
by
priyanka.clay6
1
answer
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