Other Math Answers

How would you disseminate your advocacy in mathematics literacy in this time of pandemic?

GIVEN THE EQUATION

4x²-3x + 4 = y³-x³ / 2

FIND ALL POSITIVE INTEGER SOLUTIONS OF x and y.

First Law of Thermodynamics and Calorimetry (5 points each)

A gas system with constant pressure has change in internal energy of 240 J. Heat was lost to the surroundings and 150 J work was done to the surroundings as well. How many calories of heat was lost?

315 moles of butane (C4H10) was burned in a copper calorimeter containing 5065 g of water. The calorimeter weighs 2,800 g. The temperature was observed to increased by 3.15 °C. Calculate the molar heat of combustion of butane. The specific heat of copper and water are 0.386 J/g. °C and 4.18 J/g. °C respectively.

A 60-g silver spoon (specific heat 0.233 J/g °C) at 25 °C is placed in 180 g of coffee at 85 °C and the temperature of the two become equal. What is the final temperature when the two become equal? The coffee has specific heat of 5.12J/g. °C.

Determine each of the following areas and show these graphically. Use the

probability notation in your final answer.

1.) above z = 1.46

2.) below = -0.58

3.) between z = -78 and z = -1.95

4.) between z = 0.76 and z = 2.88

5.) to the right of z =1.32

6.) to the left of z = 2.78

Compute the skewness and determine the kind of distribution of the data sets given

the following characteristics.

1.) Mean = 45, Median = 44, Standard Deviation = 6

2.) Mean = 68, Median = 70, Standard Deviation = 15

3.) Mean =23.75, Median =23.75, Standard deviation = 2.5

Find the expansion of the following bionomial function

√1+3x

(1_3x)1/2

3√1_2y

(1+y)^_3

find the largest area of the isosceles triangle OAB as shown in the figure below . the point a is on the the x-axis while the point b lies on the curve y=49-x² in the first quadrant( use second derivative method)

Show that 1/2(1_X)^2=1+2x+3x^2+4x^3

Show that 1/(1_x)^3=1+3x+3.4x^2/2+4.5x^3/2

Find the values of the following correct to four decimal places

(1.04)1/2

(0.95)1/3

(1.0001)1/4

(0.998)1/2

. Consider the following product mix problem:

Three machine shops A, B, C produces three types of products X, Y, Z respectively. Each product involves operation of each of the machine shops. The time required for each operation on various products is given as follows: