59,606 Answered Questions for the topic Math

01/28/24

What angle to kick a soccer ball to maximize distance traveled? (vector calc)
A soccer ball on the ground is kicked with an initial speed of 44mph at an angle θ above the horizon. What is the angle in radians that will maximize the distance traveled (g=32ft/sec)?And what... more
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Math

01/28/24

IB Mathematics HL: When x^2+4x-b is divided by x-a the remainder is 2. Given that a, b∈R , find the smallest possible value for b.
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Math

01/28/24

Applications of Simultaneous Equations in Real-World Contexts
1. The giant pandas Kai Kai and Jia Jia reside at the River Safari. The sum of their ages when they first arrived in Singapore in 2013 was 11 years. In 2022, Kai Kai will be three times as old as... more
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Math

01/28/24

Solving Simultaneous Linear Equations Using Algebraic Methods
A computer animation shows a cat moving in a straight line. Its height, a metres, above the ground, is given by 8s-3h=-9 where s is the time in seconds after it starts moving. In the same... more
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Math

01/27/24

Direct and inverse proportions

A machine which manufactures ice needs to be run for 10 minutes to warm up before the production of ice begins. The mass, in tonnes, of ice produced is directly proportional to the number of hours... more
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Math

01/27/24

y=2x-4 and y=x-3 graphically method

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Math

01/27/24

Direct and inverse proportions
1. Kate makes a donation to a charitable organisation on a monthly basis. Her monthly donation is directly proportional to the square of her monthly savings. If she saves $900 and $1200 in January... more
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Math

01/27/24

Direct and inverse proportions

The pressure, P pascals, of a fixed mass of gas at constant temperature is inversely proportional to the volume, 7m3 of the gas. The pressure of 2 m³ of gas in an airtight container is 500 pascals.... more
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Math

01/27/24

Direct and inverse proportions
The weight of an object is inversely proportional to the square of the distance from the object to the centre of the earth. An astronaut weighs 800 newtons (N) at sea level (6500 km from the centre... more
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Math

01/27/24

Homework Question #2
The Middle Town Performing Arts Theater is planning a new show. The fixed cost is estimated to be $400,000 for the season. The variable cost is $10 per ticket. The box office has set the ticket... more
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Math

01/26/24

Direct and inverse proportions
1. If y is inversely proportional to x2 and y=5 when x=4, find the value of y when x=2.2. If y is inversely proportional to r2 +1 and y=32 when r=1, find the value of y when r=73. If u is inversely... more
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01/26/24

In this question, we discover the height of a mountain which is surrounded by rugged terrain.
In this question, we discover the height of a mountain which is surrounded by rugged terrain. Suppose A and B are two towns located nearby a mountain whose base is at M and whose peak is at N. The... more
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Math

01/26/24

3d + 16 = -2 (5 - 3d )

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Math

01/26/24

Algebra math question
her​ retirement, Liza deposits some money at 22​% ​interest, with twice as much deposited at 4.54.5​%. Find the amount deposited at each rate if the total annual interest income is ​$1210.
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Math

01/26/24

Direct and Inverse Proportions
1. When a shaft is turning at a constant speed, the horsepower that it can transmit is directly proportional to the cube of its diameter. If a shaft of diameter 6 cm turning at a constant speed... more
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Math

01/26/24

Direct and Inverse Proportions
The distance, s m, through which a heavy object falls from rest is directly proportional to the square of the time, t seconds, taken.The object takes 3 seconds to fall 45 m.Finda. the distance the... more
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Math

01/26/24

What is the sum of one, two, three
What are the sums of the numbers?1,2,37,8,94,5,6
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Math

01/26/24

Alivia has 156 pieces of Swifty merchandise. She puts 3 merchandise items into each gift box. She sells each box for $4 if she sells all her boxes how many miney will she make?
Alivia has 156 pieces of Swifty merchandise. She puts 3 merchandise items into each gift box. She sells each box for $4 if she sells all her boxes how many miney will she make?
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Math

01/25/24

At a college, the cost of tuition increased by 10%. Let b represent the former cost of tuition. Use the expression b+0.10b for the new cost of tuition.

Part A - write an equation expression for the new cost of tuition. Part B - what does your equivalent expression tell you about how to find the new cost of tuition?
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Math

01/25/24

Direct and Inverse Proportions
Tap A can fill 8 pails of the exact capacity in 5 minutes.Tap B can fill 7 of the same pails in 4 minutes.Tap A and B are turned on together to fill a total of 16 pails.How long will it take the... more
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Math

01/25/24

Direct and Inverse Proportions
The weight of an object is inversely proportional to the square of the distance from the object to the centre of the earth. An astronaut weighs 800 newtons (N) at sea level (6500 km from the centre... more
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Math Algebra 1

01/25/24

A town has a population of 10000 and grows at 2.5% every year. What will be the population after 7 years, to the nearest whole number?
A town has a population of 10000 and grows at 2.5% every year. What will be the population after 7 years, to the nearest whole number?i'm typically really good at math (i'm even in scholarship... more
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01/25/24

Right Triangle Trigonometry
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 32∘. From a... more
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Math

01/25/24

An arc of a circle has a measure of 100° and a length of 55 pi CM what is the diameter of the circle
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01/25/24

A ship leaves port P and travels 120 miles North to a point X .

A ship leaves port P and travels 120 miles North to a point X. It then turns and travels 60 miles on a bearing of 25 degrees to a point Y.Draw a diagram of this situation. What angle does the... more
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