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Find the equation of the tangent to at the point where , in f(x)=x^2+4x-5

standard form.


For the chemical reaction

Na2CO3+Ca(NO3)2⟶CaCO3+2NaNO3

how many moles of calcium carbonate (CaCO3) are produced from 6.0 mol of sodium carbonate (Na2CO3)?


 If carbohydrates are unavailable for cellular respiration, other organic molecules can be broken down and enter the cellular respiration process at the appropriate spot. Proteins can be broken down into a variety of amino acids. Some amino acids can be converted into glutamate which can then be converted into alpha-ketoglutarate. State which steps of the cellular respiration pathway, lead to the generation of the energy molecules. State the TOTAL number of ATP molecules the ONE of these converted alpha-ketoglutarate molecules can produce and explain how all the ATP molecules are generated.




Given the reaction, how many moles of Z will be produced from 1.35 mol A, assuming excess B?


2A+3B⟶4Y+5Z



Bituminous coal is a type of coal that is composed of carbon with small amounts of hydrogen, oxygen, nitrogen, and sulfur. The formula for a sample of bituminous coal is 

C137H97O9NS. Calculate the amount of carbon in 65.0 kg of the sample.


1. Create a java program that will count all words in a sentence. The program should have a


minimum of two classes.


1.1 The first class should be named class1, this class will have the following:


 The main method (starting point) (5)


 The object of class2 (5)


 Should also call the get method count_words(String str) (5)


1.2 The second class should be named class2, this class should have the following:


 A constructor (5)


 A get method named count_words(String str) (10)


1.3 Construct a flowchart for class1 and class2 both combined.

A. Given the demand function 𝑄𝑑 = 15 − 0.2𝑃, find quantity demanded when price is GH¢ 2.00, GH¢ 5.00, GH¢ 7.00, and GH¢ 10.00. Present your results in a table.

B. Demand function for good X is given as Qdx = 6 – 0.2Px + 0.28Pz – 0.45Py

where Qdx is quantity demanded for good X, Px is price of good X, Py and Pz are

prices of related goods. Y is good Y and Z is good Z.

i. What type of good is Y? Explain your answer. ii. What type of good is Z? Explain your answer.



QUESTION THREE

With the aid of diagrams, explain the difference between increase in demand and increase in quantity demanded.


A firm is faced with undertaking one of these four projects in 2022 – open new branch, introduce another product, purchase a brand new vehicle, or increase workers’ salary. The costs and expected benefits of the projects are presented in the table below.

  Activity

Branch Product Vehicle Salary

Direct cost Benefit (GH¢) (GH¢) 380 390 400 400 350 392 422 425

        Use the information provided in the table to answer the following questions.

a) Compute the net benefit of each project using the direct cost.

b) Find the opportunity cost of each project.

c) Compute the net benefit of the projects using the opportunity cost.



Procedure to identify when three different



Liquid namely dilute acid, distilled water and alkaline solution are poured into three unablled bottle

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