# Questions Asked onJuly 1, 2020

1. ## calculus

3x4 − 8x3 + 5 = 0, [2, 3] (a) Explain how we know that the given equation must have a root in the given interval. Let f(x) = 3x4 − 8x3 + 5. The polynomial f is continuous on [2, 3], f(2) = < 0, and f(3) = > 0, so by the Intermediate Value Theorem,

2. ## Algebra

Hello, I've been having trouble on the following question: We let g(x) = ⌊x⌊x⌋⌋ for x >= 0. i. Find all x >= 0 so that g(x) = 1. ii. Find all x >= 0 so that g(x) = 3. iii. Find all x >= 0 so that g(x) = 5. iv. Find the number of possible values of

3. ## mathematics

A trader has 100 mangoes for sale. Twenty of them are unripe. Another five of them are bad. If he picks a mango is at random, find the probability that it is : a) unripe? b) bad? c) neither unripe nor bad?

4. ## mathematics

the density of copper is 9.86 g/cm^3 work out the mass of the copper cuboid in kg

5. ## Mathematics

If a tank is emptied in 5 minutes by a pump that is pumping at a rate of 300 gallons per minute, how long will it take to empty the tank with a pump that will pump at a rate of 500 gallons per minute?

6. ## Physical Science

A bicycle pump contains 250cm3 of air at a pressure of 90kPa, the volume is reduced to 200cm3. What is the pressure of the air inside the pump? a. 75 kPa b. 220 kPa c. 112.5 kPa d. 240.4 kPa

7. ## Math

Q3) If a tank is emptied in 5 minutes by a pump that is pumping at a rate of 300 gallons per minute, how long will it take to empty the tank with a pump that will pump at a rate of 500 gallons per minute?

8. ## Mathematics

A cyclist travels for x hours at 5km/h he travels 35km/h altogether and his average speed is 7km/h find x and y

9. ## Chemistry

Why does nacl conduct electricity and benzene do not

10. ## Calculus

Evaluate the indefinite integral 1.((x^4 -2 +x)3x^-1)

11. ## maths

If the vertices of Triangle ABC are A(5,-1) , B (-3,-2) , and C (-1 ,8) , find the length of the median through A

12. ## Physics

A body is projected upwards at any an angle of 30 degree with the horizontal and intial speed of 200 ms^1 in how many seconds Will it teach the group? How far from the point of projection will it strikes?

13. ## Physical Science

A car with a mass of 1.1 × 103 kilograms hits a stationary truck with a mass of 2.3 × 103 kilograms from the rear end. The initial velocity of the car is +22.0 meters/second. After the collision the velocity of the car is -11.0 meters/second. What is the

14. ## calculus

If f ''(x) = x3(x−1)3(x+5)2, find the x-values for all the points of inflection. (Enter your answers as a comma separated list.)

15. ## Physics

A brass of rod is 2m long at a certain temperature. What is its length for a temperature rise of 100 K if the expansivity of brass is 18×10^-6k^-1?

16. ## Algebra

Factorise (p-a)^3 +(p-b)^3 +(p-c)^3 where p=a+b+c/3

17. ## Algebra

Factorise..(x+y-z)^3 +(x-y+z)^3 -8x^3

18. ## Physical Science

A bicycle pump contains 250 cm3 of air at a pressure of 90 KPa. If the air is compressed, the volume is reduced to 200 cm3. What is the pressure of the air inside the pump? use p1v1 = p2v2 V1 = 90 and V2 = P1= 250 cm and p9= 200 P1V1 = p2V2 V2=p1V1/p2

19. ## Physical Science

A cylinder of acetylene gas is kept at a temperature of 291K. The pressure in the cylinder is 5atm. This cylinder can withstand a pressure of 8atm before it explodes. What is the maximum temperature that the cylinder can safely be stored at ?

20. ## Math

Given AB = 18 , DE=6 , and AD = 5 find the perimeter of DEF

21. ## Chemistry

Using kinetic theory of matter, explain the relationship between the following properties of gases. A: Volume & Temperature B: Volume & Pressure C: Pressure & Temperature

22. ## Chemistry

At what temperature will a mass of a gas occupying 200cm3 at 0°C have a volume of 300cm3 if the pressure remains constant?

23. ## Chemistry

A gas at 7°C and 100kPa occupies 20 litres. The gas is heated to 27°C at pressure 120kPa. Find the new volume.

24. ## Chemistry

Calculate the final temperature of a gas when it expands from 5m3 to 7.5m3, if the pressure remains constant and the original temperature is 27°C

25. ## English

Write a letter to a friend who wants to visit your school giving him direction to your school and telling him two interesting things he will see on his way

26. ## Physics

A cable passes over a pulley. Because of friction, the tension in the cable is not eh same on opposite side of the pulley. The force in one side is 110 N, and the force on the other side is 100 N. Assume that the pulley is a uniform disk of mass 2.1kg and

27. ## biology

The PBS protocol above says to adjust pH to 7.4 with HCl. What does this imply on the pH of 10x PBS before adjusting the pH, would it be greater or smaller than 7.4?

28. ## Chemistry

A sample of gas collected at 25°C and 2atm pressure occupies 500ml, what would it occupy at Standard temperature and pressure (STP)?

29. ## Chemistry

A gas occupies a volume of 10cm3 at 100kPa. If the pressure is increased to 200kPa, What is the new volume if the temperature remains constant at 27°C.