The negate of this conditional statement as : a∨(∼b).
<h3>What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?</h3>
- A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
- A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
- For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
We have the the following conditional statement -
c ⇒ (a∧∼b)
We can write the negate of this conditional statement as -
a∨(∼b)
Therefore, the negate of this conditional statement as : a∨(∼b).
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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Answer:
Jim's claim is correct
Step-by-step explanation:
Total survey=100 people
Morning exercise=35 people
Afternoon exercise=45 people
Night exercise=20 people
Morning exercise : Total survey
=35 : 100
Afternoon exercise : Total survey
=45 : 100
Night exercise : Total survey
=20 : 100
Jim's claim is correct because in finding the ratio, one has to relate it with the total people involved in the survey.
Tara's claim however seems to relate one variable with two other variables
Example:
35 : 55
Morning exercise : (morning exercise + night exercise)
35 : (35+20)
35 : 55
Answer:
x = 1.8
Step-by-step explanation:
We have the equation -3x + 18 = 7x. First we do your step 1, and get: 18 = 10x. When doing your step 2, we divide both sides by 10 to isolate x alone. 18/10 = 1.8. X = 1.8
The volume of cone B will be 6 cubic units.
<h3>What is the volume of the cone?</h3>
Let h be the height of the cone and A be the base area of the cone.
Then the volume of the cone will be
Volume = (1/3) × A × h
Consider cone A and cone B.
The bases of the cones are congruent.
The height of cone A is 4 times larger than the height of cone B.
The volume of cone A is 24.
24 = (1/3) Ahₐ
Then the volume of the cone B will be
Simplify the expression, then the volume will be
V = 1/4 x (1/3)Ahₐ
V = 1/4 x 24
V = 6 cubic units
The volume of cone B will be 6 cubic units.
More about the volume of the cone link is given below.
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Answer:
It will cost $700 to play the entire schedule.
Step-by-step explanation:
Given : 
To Find : A softball league has 5 teams, each of which play the others twice. If the league pays $35 per game, how much will it cost to play the entire schedule?
Solution:
Equation for total no. of games when all the teams play each other twice is
Now we are given that A softball league has 5 teams, each of which play the others twice.
So, Substitute x = 5 in the given equation
So, The total no. of games = 20
Cost for 1 game = $35
So, cost for 20 games = 
Hence it will cost $700 to play the entire schedule.
