01/27/24

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

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

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

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

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

01/26/24

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

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.

01/26/24

Trigonometric Functions of Angles

Simplify tan(t)sec(t)

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

Graphs of the Sine and Cosine Function

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 58 degrees at midnight and the low and high temperature during the day are 51 and 65... more

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

01/26/24

Evaluate the following integrals

∫3x/(1+x4)dxI separated the two equations into 3x(1/(1+x^4) and tried u substitution but neither 3x nor 1+x^4 really worked so I wasn't sure how to do this equation. ∫1/(√3-2x-x2)dx [Hint:... more

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?

01/26/24

How to write the inequality of a parabola + more Algebra 1

An engineer uses the equation below to model the height of a cannonball shot straight up from ground level. In the model the height y (in feet) is a function of x, the number of seconds after the... more

01/26/24

Evaluate the definite integral from 1 to -3 of (-x/2+1) dx

Definite Integrals Practice

01/26/24

Consider the function

Consider the functionh(x) = −8x2/ 3x2 + 5x − 6(a) Find all the points where h(x) is discontinuous.(b) Find all horizontal asymptotes of h(x)

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?

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

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

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

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

01/25/24

Is the function g(x)= 7/6 x linear or nonlinear?

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