Question

In: Advanced Math

for each of the following statements, fill in the blanks with an easy to check criterion:...

for each of the following statements, fill in the blanks with an easy to check criterion:

a. M is a triangular number if and only if _______ is an odd number.
b. N is an odd square if and only if _________ is a triangular number.
c. prove that your criteria in a and b are correct.

Solutions

Expert Solution


Related Solutions

Fill in the blanks in each of the following statements
Fill in the blanks in each of the following statementsa) --------- allows you to build JavaFx GUIS using drag and drop techniques.b) The elements in the scene graph are called --------------c) A(n) ----------- file contains the description of a JavaFX GUI.d) The method ---------------- is called by FMXLLoader before the GUI is displayed
Fill in the blanks in each of the following statements: a) The _________ states that every...
Fill in the blanks in each of the following statements: a) The _________ states that every column in a primary key must have a value, and the value of the primary key must be unique b) The ________ states that every foreign-key value must appear as another table's primary-key value. c) A(n) ________ in a pattern indicates that a string matching the pattern can have zero or more characters at that location in the pattern. d) Java DB is the...
Fill in the blanks in each of the following statements: 1. Each function definition can specify...
Fill in the blanks in each of the following statements: 1. Each function definition can specify __________________ that represent additional information the function requires to perform its task correctly. 2. Declaring data members with access modifier __________________ is known as information hiding. 3. The initial value of a string is the __________________which does not contain any characters. 4. Variables declared in the body of a particular function are known as __________________and can be used only in that function. 5. Each...
Fill in the blanks with True (T) or False (F) for each of the given statements....
Fill in the blanks with True (T) or False (F) for each of the given statements. It is possible to directly form an acyl anion with an aldehyde and base. Electrophilic aromatic substitution is always faster with a heterocycle than with benzene. Pyridines are electron poor aromatic rings and are particularly good at nucleophilic aromatic substitution. Heterocyclopentadiene undergo electrophilic aromatic substitution primarily at the C-3 position. 1,3-diester is less acidic than a 1,3-ketoester, which is less acidic than an 1,3-diketone...
Fill in the blanks in the following separate income statements a through e.
Fill in the blanks in the following separate income statements a through e. (Amounts to be deducted should be indicated by a minus sign.) 
Fill in the blanks in the following separate income statements a through e.
Fill in the blanks in the following separate income statements a through e. (Amounts to be deducted should be indicated by a minus sign.) 
Fill in the missing blanks in each of the following equations a) _______   → 85At217 +...
Fill in the missing blanks in each of the following equations a) _______   → 85At217 + 2He4 b) 94Pu241→95Am241 + ____________ c) 11Na19→10Ne19 +________ d) 34Se75+ _____ → 33As75 e) 95Am241 →93Np237 +____ f) ______ → 92U233 + -1e0 g) 93Np237 → ______ + 2He4 h) 35Br75 → ______ + +1e0
Fill in the blanks: Consider the following equilibrium and fill in the blanks with either increase...
Fill in the blanks: Consider the following equilibrium and fill in the blanks with either increase or decrease. I2(s) + 5F2(g) ⇌ 2IF5(g) A decrease in volume results in a Blank 1 in pressure which will Blank 2 the amount of IF5.
Fill in the blanks in the following separate income statements a through e. (Amounts to be...
Fill in the blanks in the following separate income statements a through e. (Amounts to be deducted should be indicated by a minus sign.) a b c d e Sales $62,000 $44,700 $53,000 $26,700 Cost of goods sold Merchandise inventory (beginning) 8,800 16,040 6,700 7,100 4,380 Total cost of merchandise purchases 31,000 44,000 6,400 Merchandise inventory (ending) (2,400) (8,000) (7,000) Cost of goods sold 33,770 17,000 7,500 Gross profit 5,100 49,200 Expenses 10,000 10,590 11,630 4,800 7,800 Net income (loss)...
Fill in the blanks to make the following statements correct. a. The equation for actual national...
Fill in the blanks to make the following statements correct. a. The equation for actual national income from the expenditure side is written​ as: GDP = ___________________. A. Ca + Ia + Ga (Xa - IMa) B. a + bY C. C + I + G + (X - IM)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT