Recent questions tagged sat

The distance of an object moving with initial velocity $u$ and acceleration 'a' and final velocity 'v' is given by $v^2-u^2=2as$. The acceleration of the particles in terms of $u, \;v$ and $s$ is

asked Dec 5, 2019 by priyanka.clay6

1 answer

$\qquad x-3y=10$ In the xy plane, the graph of which of the following equations is perpendicular to the graph of the equation above ?

asked Dec 4, 2019 by priyanka.clay6

1 answer

$y \leq 3x+1,\;x-y>1,$ which of the following ordered pairs $(x,y)$ satisfies the system of inequalities below ?

asked Dec 4, 2019 by priyanka.clay6

1 answer

The equation of the circle passing through the point $(2,-4)$ and has a centre at $(0,0)$ is

asked Dec 4, 2019 by priyanka.clay6

1 answer

The graph below shows the number of vehicles passing through a road crossing in Long Lake Road, in the city of Troy, Michigan, in different time intervals on a particular day. Read the bar graph and answer the questions given below.What is the total number of vehicles passing through the minimum traffic hour and maximum traffic hours ?

asked Dec 4, 2019 by priyanka.clay6

1 answer

The graph below shows the number of vehicles passing through a road crossing in Long Lake Road, in the city of Troy, Michigan, in different time intervals on a particular day. Read the bar graph and answer the questions given below. What is the total number of vehicles passing through a crossing during a particular day ?

asked Dec 4, 2019 by priyanka.clay6

1 answer

The graph below shows the number of vehicles passing through a road crossing in Long Lake Road, in the city of Troy, Michigan, in different time intervals on a particular day. Read the bar graph and answer the questions given below.When is the hourly traffic maximum? Also give the maximum number of vehicles ?

asked Dec 4, 2019 by priyanka.clay6

0 answers

The length of the sides of a triangle are $5\;cm, 12\;cm$ and $13 \;cm$. Find the length to the perpendicular from the opposite vertex to the side whose length is $13\;cm$

asked Dec 4, 2019 by priyanka.clay6

1 answer

If $f(x)=x^2+5x+p$ and $Q(x)=x^2+3x+q$ have a common factor, then the common factor is

asked Dec 4, 2019 by priyanka.clay6

1 answer

Express in rational form $\large\frac{81^{-0.25}}{\sqrt[3]{-125}}$

asked Dec 4, 2019 by priyanka.clay6

1 answer

The probability that Rhoda will hit a target is $\frac{4}{5}.$ The probability that Jack will hit the same target is $\frac{3}{4}$. If each of them fires once, find the probability that the target will be hit by only one of them is

asked Dec 4, 2019 by priyanka.clay6

1 answer

asked Dec 4, 2019 by priyanka.clay6

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The $10^{th}$ and $100^{th}$ term of the sequence $n^2+3$ are

asked Dec 4, 2019 by priyanka.clay6

1 answer

asked Dec 4, 2019 by priyanka.clay6

1 answer

It is given that $\Delta ABC \cong \Delta FDE$ in which $AB=5\;cm$, $\angle{A}=80^{\circ},\;\angle{B}=40^{\circ}$ and $FD=5\;cm,\; \angle{E}=?$

asked Dec 4, 2019 by priyanka.clay6

1 answer

At a recent college registration, 100 students were interviewed. 80 students registered for Mathematics course, 14 for history course and 5 for both. What is the probability that the student has registered only for history ?

asked Dec 4, 2019 by priyanka.clay6

1 answer

In the figure shown below TP and TQ are tangents to the circle with centre O and radius $5 \;cm$. If $\angle{QTP}=65^{\circ}$, calculate $\angle{POQ}$

asked Dec 4, 2019 by priyanka.clay6

1 answer

Simplify : $ \large\frac{\sqrt{x^6(y^3)^{-2}}}{(x^3y)^{-2}}$

asked Dec 4, 2019 by priyanka.clay6

1 answer

If $D,\;E $ and $F$ are the mid points of the sides $AB, \;BC$ and $CA$ of an equilateral triangle $ABC$ , then $\Delta DEF$ is a _________ triangle.

asked Dec 3, 2019 by priyanka.clay6

1 answer

Which of the following is equal to $3^{4/3}$.

asked Dec 3, 2019 by priyanka.clay6

1 answer

A quadrilateral which has exactly one pair of parallel sides is called

asked Dec 3, 2019 by priyanka.clay6

1 answer

The total surface of a cone, whose radius is $\dfrac{r}{2}$ and slant height $2l$ is

asked Dec 3, 2019 by priyanka.clay6

1 answer

If $x^2+y^2=a$ and $xy=6b$, then which of the following is equivalent to $3a-2b ?$

asked Dec 3, 2019 by priyanka.clay6

1 answer

Which of the following is an example of a function whose graph in the $xy-$ plane has no intercepts ?

asked Dec 3, 2019 by priyanka.clay6

1 answer

Kathy has two summer jobs. She works as a beautician, which pay $\$10 $ per hour and she works at the billing counter for a supermarket, which pays her $\$10.50$ per hour. She can work no more than 20 hours per week, but she wants to earn at least $\$250$ per week. Which of the following inequalities represents this situation in terms of $x$ and $y$ where $x$ is the number of hours, she works as a beautician and $y$ the number of hours, she works for the super market ?

asked Dec 3, 2019 by priyanka.clay6

1 answer

In the equation given below, $K$ is a constant, if $x=6$, what is the value of $K$ ? $\qquad \qquad \sqrt{K^2+9} -x =0$

asked Dec 3, 2019 by priyanka.clay6

1 answer

$\qquad \qquad h = 2a+20.5 $ A Pediatrician uses the model above to estimate the height $h$ of a boy, in inches, in terms of the boy's age 'a' in years, between the ages of 5 and 10. Based on the model, what is the estimated increase in inches of a boy's height each year ?

asked Dec 3, 2019 by priyanka.clay6

1 answer

What can be the nature of the roots for the equation $x^2-4x+6$ ?

asked Dec 3, 2019 by priyanka.clay6

1 answer

Simplify $(x^{4n-m})\large(\frac{1}{x^3})^{m+n}$

asked Dec 3, 2019 by priyanka.clay6

1 answer

The rational form of $\large\frac{\sqrt[-3]{512}}{\sqrt[5]{-1024}}$

asked Dec 3, 2019 by priyanka.clay6

1 answer

If $\large\frac{3x-1}{b}=4$ and $b=2$, what is the value of $x$ ?

asked Dec 3, 2019 by priyanka.clay6

1 answer

If $i=\sqrt{-1}$, then evaluate $(7-3i)(7+3i)$

asked Dec 3, 2019 by priyanka.clay6

1 answer

$\begin{align}\large\frac{(i^3)^{729}}{(i^4)^{64}} = \end{align}$

asked Dec 2, 2019 by priyanka.clay6

1 answer

$(h^2+6hk-7k^2)-(3h^2+6hk-10k^2)$

asked Dec 2, 2019 by priyanka.clay6

1 answer

Divide and simplify : $\large\frac{12\sqrt{75}}{4\sqrt{108}}$

asked Dec 2, 2019 by priyanka.clay6

1 answer

In a store, a dress was tagged at $\$40$. When it did not sell, it was discounted $25\%$ at all once. What is the final selling price ?

asked Dec 2, 2019 by priyanka.clay6

1 answer

Which of the following is the greatest : $\qquad \frac{5}{8},\; 62\%, \% 0.628 ?\qquad$

asked Dec 2, 2019 by priyanka.clay6

1 answer

The area of a triangle can be calculated from Heron's formula $A = \sqrt{S(S-a)(S-b)(S-c)}$, where $a,\;b,\;c$ are length of the sides and $S = \large\frac{a+b+c}{2}$. Calculate the area of a triangle with side length $5, \;7 $ and $10$. Leave your answer in simplest radical form.

asked Dec 2, 2019 by priyanka.clay6

1 answer

In the figure shown below, $PQ$ is the tangent to the circle whose centre is $O$ and radius is $5$. If $OP = 13$, find the length of $PQ$, if $T$ is the midpoint of $PQ$

asked Dec 2, 2019 by priyanka.clay6

1 answer

$\begin{pmatrix}\large\frac{xy^n}{(xy)^{2n}} \end{pmatrix}^{2n}$ if $x=-2, \; y=3$ and $n=-1$

asked Dec 2, 2019 by priyanka.clay6

1 answer

Evaluate : $\large\frac{3^5 \times 3^{-2}}{(3^{-3})^2}$

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

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

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 ?

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 ?

asked Dec 2, 2019 by priyanka.clay6

1 answer

What is the area of the parallelogram shown in the figure below ?

asked Dec 2, 2019 by priyanka.clay6

1 answer

Solve for $r : \;27^{6-r}=9^{r-1}$

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 $\large\frac{7}{9}$ QUESTION : What is the probability that at least one of them does the homework ?

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 ?

asked Dec 1, 2019 by priyanka.clay6

1 answer

Simplify $\large\frac{x^{-3}}{2y^3}(\large\frac{1}{xy})^{-3}$

asked Dec 1, 2019 by priyanka.clay6

1 answer

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