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Recent questions tagged calculator

For any positive integer $n,\;n!$ mean the product of all, integer from $1 $ to $n$. What is the value of $\large\frac{1}{5!} + \frac{1}{4!}$

asked Dec 10, 2019 by priyanka.clay6

1 answer

If $130\% $ of $a$ is equal to $70\%$ of $b$, which of the following is equal to $a-b$?

asked Dec 10, 2019 by priyanka.clay6

1 answer

A field is surveyed and found to have 240 wild flowers in a variety of colors : red, yellow, violet and white. There are 60 yellow flowers. One third of the rest of the flowers are white, $40\%$ are red and the rest is violet. What is the percentage of yellow flowers ?

asked Dec 10, 2019 by priyanka.clay6

1 answer

A field is surveyed and found to have 240 wild flower in a variety of colors : red, yellow, violet and white. There are 60 yellow flowers. One third of the flower rest of the flowers are white, $40\%$ are red and the rest is violet. A flower is picked at random. What is the chance that it is a violet flower.

asked Dec 10, 2019 by priyanka.clay6

0 answers

A farmer is plotting a grid over a section of farm land. There are 40 parallel rows of 10 plants with a perpendicular irrigation line every 5 plants. If the first plant is plotted at the point $(-10,2)$ and the second at $(-8,2)$ and so forth, which of the following equations could represent the path of the irrigation line ?

asked Dec 10, 2019 by priyanka.clay6

1 answer

A group of students are tracking a friend Smith who is riding a Ferris wheel. They know that Smith reaches a maximum height of 11 m at 10s and reaches a minimum height of 1m at 55s. Which of the following graph represents this ?

asked Dec 7, 2019 by priyanka.clay6

1 answer

In a cricket match, a batsman hits a boundary 12 times out of 48 balls he plays. Find the probability that he does not hit a boundary in the next ball ?

asked Dec 7, 2019 by priyanka.clay6

1 answer

The city of Farmington has a population of 4000, requires 150 litres of water per head per day. It has a tank measuring $20 m \times 15 m \times 6 m$. For how many days will the water in this tank last ?

asked Dec 7, 2019 by priyanka.clay6

1 answer

asked Dec 6, 2019 by priyanka.clay6

1 answer

A landscaper is designing a rectangular garden. The length of the garden is to be 12 feet longer than its width. If the area of the garden will be 108 sq. feet, what will be the length in feet of the garden ?

asked Dec 6, 2019 by priyanka.clay6

1 answer

The ratio of the surface area to the volume of micro organisms affect their ability to survive. An organism with a higher surface area to volume ratio is more buoyant and uses less of its own energy to remain near the surface of a liquid, where food is more in plenty. Mike is calculating surface area to volume ratio of different sized cells, assuming then to be spherical. What can be their ratio ?

asked Dec 6, 2019 by priyanka.clay6

1 answer

If $\begin{align} g(x)= \frac{1}{(x-2)^2-3(x-2)+2}\end{align}$, for what values of $x$ is $g(x)$ undefined.

asked Dec 6, 2019 by priyanka.clay6

1 answer

Ryan can husk at least 14 dozen ears of corn per hour and at most 21 dozen ears of corn per hour. Based on this information, what is a possible amount of time, in hours, he can take to husk 84 ears of corn ?

asked Dec 6, 2019 by priyanka.clay6

1 answer

If the lines $x+2y+7=0$ and $2x+ky+18=0$ intersect at a point, then what is the value of $k$ ?

asked Dec 6, 2019 by priyanka.clay6

1 answer

If $ 20+3x$ is 15 more than 20, what is the value of $5x ?$

asked Dec 6, 2019 by priyanka.clay6

1 answer

At $t$ minutes past 2 pm, the time needed by the minutes hand of a clock to show 3 pm, was found to be 3 minutes less than $\dfrac{t^2}{4}$ minutes. Find $t$

asked Dec 6, 2019 by priyanka.clay6

1 answer

In the equation below, if $a$ is negative and $b$ is positive, which of the following is true ? <br> $\qquad \qquad \large\frac{b-a}{b}=c$

asked Dec 6, 2019 by priyanka.clay6

1 answer

In the figure given below, if $LM \parallel CB$ and $LN \parallel CD$. Then which of the following statement is correct ?

asked Dec 6, 2019 by priyanka.clay6

1 answer

A line intersects the $y$ axis and $x$ axis at the points $P$ and $Q$ respectively. If $(2,-5)$ is the mid point of $PQ$, then the coordinates of $P$ and $Q$ are

asked Dec 6, 2019 by priyanka.clay6

2 answers

If $i=\sqrt{-1} $ then $(i^2+i)(i^4-i^2)=$

asked Dec 6, 2019 by priyanka.clay6

1 answer

A kite is flying at a height 30 m from the ground. The length of the string from the kite to the ground is 60 m. Assuming that there is no slack in the string, find the angle of elevation of the kite at the ground.

asked Dec 6, 2019 by priyanka.clay6

1 answer

A garden roller has a circumference 4m. The number of revolutions it makes in moving 40 m is

asked Dec 6, 2019 by priyanka.clay6

1 answer

4 identical momento is made by a school to award 4 students for four values - Honesty, Punctuality, Cleanliness and Non-Violence. The shape of the momento is as shown in the figure. The base PQRS is silver plated from the front side at the rate of $\$10\; per \;cm^2$. What is the total cost of the silver plating ? (Take $\pi=\frac{22}{7}$)

asked Dec 6, 2019 by priyanka.clay6

1 answer

In a cornfield the heap of corns powed are in the form of a cone. Each heap has a diameter of 9 m and height 3.5 m. How much canvas cloth would be required to cover 5 such heaps ?

asked Dec 6, 2019 by priyanka.clay6

1 answer

The mean of six numbers. $x-5,\; x-1,\;x,\; x+2,\; x+4$ and $x+12$ is $15.$ Find the mean of first 4 numbers.

asked Dec 6, 2019 by priyanka.clay6

1 answer

At a fish hatchery, fish hatch at different times even though the eggs fertilized at the same time. The number of fish that hatched on each of the first four days after fertilization was $3, 12, 48$ and $192$ respectively . If the pattern continues, calculate the total number of fish hatched during the first 10 days.

asked Dec 5, 2019 by priyanka.clay6

1 answer

Allen invests $\$4250$ at $2.5\%$ of a simple interest. What will be the amount earned after 20 years ?

asked Dec 5, 2019 by priyanka.clay6

1 answer

In the 1908 Olympic games, the Olympic Marathon was lengthened from 40 km to approximately 42 km. Of the following which is the closer to the increase in the distance of the Olympic Marathon in miles ? (1 mile is approximately 1.6 km)

asked Dec 5, 2019 by priyanka.clay6

1 answer

Smith and Slerry have $24\;m$ of fencing to enclose a rectangular garden at the back of their house express the area of the garden as a function of its width.

asked Dec 5, 2019 by priyanka.clay6

1 answer

Nigel and Petra are hosting a dinner for 300 guests. Cheers Banquet hall has quoted these charges. <br> * $\$500$ plus $\$10$ per person, for food.<br> * $\$200$ plus $\$20$ per person for drinks.<br> * a discount of $\$5$ per person if the guests exceed 200. <br> What can be function equivalent to the given situation ?

asked Dec 5, 2019 by priyanka.clay6

1 answer

Which of these functions describe exponential decay ?

asked Dec 5, 2019 by priyanka.clay6

1 answer

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

$\qquad x-3y=10$ <br> 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

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 : <br> $\qquad \frac{5}{8},\; 62\%, \% 0.628 ?\qquad$

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 $S = \large\frac{a+b+c}{2}$. <br> 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

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