13. Prove each of the following propositions: (a) For each real number 0, if 0 < 0 < –, then [sin(0) + cos(0)] > 1. (b) For all real numbers a and b, if a 0 and b 0, then va2 + b2 # a +b. (c) If n is an integer greater than 2, then for all integers m, n does not divide m or n+m#nm. (d) For all real numbers a and b, if a > 0 and b > 0, then 4 a a +b 14. Prove that there do not exist three consecutive natural numbers such that the cube of the largest is equal to the sum of the cubes of the other two, 15. Three natural numbers a, b, and c with a

Q: 9 48° 14

A: Given that:

Q: 8 15

A:

Q: 32 26

A: Use, sin(theta) = Perpendicular/Hypotenuse

Q: 8 54 48

A:

Q: 12 I+(-1'] = i=1

A:

Q: 33/29 b.

A:

Q: 41 21°

A: As we know that  sin(θ)=opposite hypotanuse

Q: x)

A:

Q: O V18 O486 Next Page

A: We calculate fifth root of 6, 18, 486

Q: sing the geometry of the graph ,evalvate the definite integrals.

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: -9 81 -2 9 8 7 6 Which best represents the equation of the graphed conic section?

A:

Q: 0.1092 + 0.21

A:

Q: 5 23 4 48 1 5 75

A: Given       5  2 3 − 4 4 8¯      1  5 7 5

Q: 98 What is m Z1?

A: The figure of the circle is  To evaluate : m∠1

Q: 3,414 • 3.5

A:

Q: 321.123

A: Answer

Q: 72° C 9x A

A: Given,          A triangle is shown below :

Q: e

A: We need to evaluate integral.

Q: BCD???

A: Given problems:- b) ∫6w3+7wdwc) ∫y+14ydy d)∫123z-24dz

Q: 12 30 24

A:

Q: 6. 3 (2s+5)³

A:

Q: finf the

A:

Q: VVnat doe

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 6

A: 15×6This is a multiplication of two numbers 15 and 6.

Q: 18 16

A: The objective is to find the value of x :  In the  given right triangle , Perpendicular = 16…

Q: 8 E С 105⁰ 64° 4 В

A: Let's find angle.

Q: 9.2 q 10

A: We use  Sin(a+b) = sin(a)cos(b) + cos(a) sin(b)  Pythagoras theorem (Hypotenuse)2 =…

Q: The diagram below shows the graph of f(x) = ax. Which diagram represents the graph of kf (x), given…

A:

Q: 9 08 t

A: Step 1: Step 2: Step 3: Step 4:

Q: 2040

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.