To test the validity of a given argument, we need to see if we can find a counter-example that makes one of the statements non-valid. If after analyzing the statements we can't find a counterargument, then we can conclude that the argument is valid.
Here we will find that the argument is valid.
We can write this as:
If he participates in a race then he is the winner.
Either he participates in the race, or he is sick.
He is not the winner, then, he is sick.
Now, from the first statement, we know that always that this person participates in a race, he wins.
From the second statement we know that he only participates if he is not sick, we can rewrite that one as:
"If he is sick, then he does not participate in the race".
Finally, from the third one, if he does not win, then he is sick.
This makes sense, he only does not participate when he is sick, then the only races where he is not the winner, are these races where he does not participate, and he does not participate only if he is sick, then this is a valid argument.
Concluding, the 3 statements are valid, as we can't find any counterargument to any of these 3.
If you want to learn more, you can read:
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describe the rule for 1;3;6;10;15
Answer:
add 2, add 3, add 4, add 5
Step-by-step explanation:
1+*2=3,3+*3=6,6+*4=10,10+*5=15
Find the area of the triangle.
A. 15.3 cm²
B. 12.9 cm²
C. 16.8 cm²
D. 25.7 cm²
Option B. 12.9 cm²
Solution
h =Sin(40)*8
S = h*5/2 = 12.85>>12.9 cm2
How do you find the area of the triangle?The area of a triangle can be calculated from the base and height of the triangle. The basic formula for calculating the area is the area of the triangle = 1/2 (base x height). In other scenarios, if you know the other parameters, use the following formula to find the area of the triangle.
The area of a triangle is the space surrounded by the three sides of the triangle. It is calculated using various formulas depending on the type of triangle and is expressed in squares such as cm2 and inches2.
Learn more about triangle at
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The product of 2 and a number x is 3/4
What is the value of x?
A. x=5/4
B. x=3/8
C. x= 1 1/4
D. x=3/2
Answer:
[tex]2 \times x = \frac{3}{4} \\ \\ 2x = \frac{3}{4} [/tex]
divide either sides by 2 :
[tex]x = \frac{3}{4} \div 2 \\ \\ x = \frac{3}{4 \times 2} \\ \\ { \boxed{ \boxed{x = \frac{3}{8} }}}[/tex]
15. Ankita bought 20 copy for Rs. 25 each. She got profit of Rs.200 while selling it. Find selling price of the copies.
Answer:
S.P = 225
Explanation:
Cost Price = 20 copies for Rs. 25
Selling price = 20 copies for ?
Profit = Rs. 200
Profit = S.P -C.P
Profit + C.P = S.P
200 + 25 = S.P
225 = S.P
make r the subject in the relation; rv= h
Answer:
step by step
take v to divide
r=h/v
300 cubic inches to cubic centimeters?
Answer:
I guess it would help you ✌
Answer:762 cm
Step-by-step explanation:
There is 2.54cm in an inch so multiply it by 300
D=2/3(F+G). Solve for G
Answer:
[tex]D = \frac{2}{3} (F+ G) \\ F + G = D \div \frac{2}{3} \\ \\ F+ G = D \times \frac{3}{2} \\ \\ F +G = \frac{3D}{2} \\ \\ G = \frac{3D}{2} - F[/tex]
I hope I helped you^_^
What percent of 80 is 36? Round to the
ponearest tenth of a percent, if necessary.
B. 44.4%
A. 40%
C. 45%
D. 48%
Answer:
C. 45%
Step-by-step explanation:
Divide 36 by 80 to get 0.45 (45%)
Find all the cube roots of
[tex]z = 2e {}^{i\pi} [/tex]
9514 1404 393
Answer:
{∛2e^(iπ), ∛2·e^(iπ/3), ∛2·e^(-iπ/3)}
Step-by-step explanation:
[tex]\displaystyle \sqrt[3]{z}=(2e^{i\pi})^{\frac{1}{3}}=(2e^{i(2n+1)\pi})^{\frac{1}{3}}=\sqrt[3]{2}\cdot e^{i(2n+1)\pi/3}\quad\text{for $n=\{-1,0,1\}$}\\\\=\{\sqrt[3]{2}\cdot e^{-i\pi/3},\sqrt[3]{2}\cdot e^{i\pi/3},\sqrt[3]{2}\cdot e^{i\pi}\}[/tex]
__
Additional comment
z = -2. ∛z will be three points in the complex plane on a circle of radius ∛2 at angles ±π/3 and π radians (±60° and 180°). That is, the real cube root of -2 is -∛2.
For what values of x and y ( x-2 , y-3) and (2x-6 , 3 ) are equal to each other.
y is given already
[tex]\\ \rm\Rrightarrow 2x-6=2[/tex]
[tex]\\ \rm\Rrightarrow 2x=2+6[/tex]
[tex]\\ \rm\Rrightarrow 2x=8[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{8}{2}[/tex]
[tex]\\ \rm\Rrightarrow x=4[/tex]
Answer:
x = 4; y = 6
Step-by-step explanation:
Set the x-values equal to each other and the y-values equal to each other.
The first value in parentheses is an x-value, and the second value in parentheses is a y-value.
x - 2 = 2x - 6
Subtract x from both sides
-2 = x - 6
Add 6 to both sides to get x by itself on the right.
-2 + 6 = x
4 = x
y - 3 = 3
Add 3 to both sides
y = 6
Check answers for the x-value:
4 - 2 = 2(4) - 6
2 = 8 - 6
2 = 2
Check answers for the y-value:
6 - 3 = 3
3 = 3
A golfers score after playing on friday was +2
The end of his round on Saturday was a -5, and the end of his round on Sunday was a 0.
What is the sum of -14
and -15?
Answer:
-29
Step-by-step explanation:
(-14) + (-15) =
-14 - 15 =
-29
he
Question
The perimeter of a rectangular atrium is 64 centimeters. The length of the garden is 3 times the width. Find the length and
the width
Given : The perimeter of a rectangular atrium is 64 centimeters. The length of the garden is 3 times the width. Find the length and the width.
Solution :
Let us assume the breadth be B
The length is three times the breadth So, the length be 3B
Perimeter of the rectangle = 64 cm
Perimeter = 2(Length + Breadth)
64 cm = 2(3B + B)
64 cm = 2(4B)
64 cm = 8B
B = 8 cm
Length = 3B = 3(8) = 24 cm Breadth = B = 8 cmGiven the explicit formula for an arithmetic sequence find the term
named in the problem. *
an = 21 + (n − 1) • 45
Find a38
Answer:
Step-by-step explanation:
n = 38
a38 = 21 + (38 - 1)*45
a38 = 21 + 37*45
a38 = 21 + 1665
a38 = 1686
I need help with this question.
9514 1404 393
Answer:
$1006
Step-by-step explanation:
Julie will owe the difference between the total cost and the amount she has paid:
($1390 +90 +95) -569 = $1006 . . . . amount Julie owes
Please and thank you and show work this question is a big chunk of my final grade
Answer:
9
Step-by-step explanation:
The trinomial square have the following form:
(a - b)²
Expanding this, the result is:
a² -2ab +b²
So, let's put x in place of a and solve it:
x² -2•x•b + b²
Now, we know that initially -2•x•b was -6x in the given trinomial square, so let's find the value of b using an equation:
-2x•b = -6x divide both sides by -2x:
b = -3
So -3 complete our trinomial square, and it is:
(x -3)²
Expanding:
x² -6x +9
a bakery sells 17 cups of coffee for every 3 cups of hot chocolate they sell. At the end of the day the bakery sold 406 more coffee than hot chocolates. How many of the two drinks did they sell in all?
Answer:
Step-by-step explanation:
Is (6,0) a solution of 5x-y=9?
Answer:
No
Step-by-step explanation:
5(6)-(0)≠95(6)-(0)=30Please help solve please
Answer:
The choose D) -12
Step-by-step explanation:
[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]
I hope I helped you^_^
What is the quotient of 1/2 divided by 1/4 what is the quotient
Answer:
The quotient is 2
I don't think this needs solution
Answer:
the quotient is 2
Step-by-step explanation:
1/2÷1/4
1/2×4/1
=2
Half of a number increased by seventeen is 8
What is 3 ¹/₂ 4 ²/₃
______ + ______ = ?
5 2
Answer:
49 < 52
Step-by-step explanation:
3½ + 4⅔ = 52
convert the mixed fraction to improper fraction
7/2 + 14/3 = 52 LCM=6
multiply yhrough by the LCM
(7/2)*6 +(14/3)*6 = 52
21 + 28 = 52
49 < 52
9514 1404 393
Answer:
3 1/30
Step-by-step explanation:
Maybe you want to find ...
[tex]\dfrac{3\frac{1}{2}}{5}+\dfrac{4\frac{2}{3}}{2}=\dfrac{7}{2\cdot5}+\dfrac{14}{3\cdot2}\\\\=\dfrac{7\cdot3}{2\cdot3\cdot5}+\dfrac{14\cdot5}{2\cdot3\cdot5}=\dfrac{21+70}{30}=\dfrac{91}{30}=\boxed{3\frac{1}{30}}[/tex]
Find the length of the segment.
segment EA
Answer:
8
Step-by-step explanation:
|-4-4| = |-8| = 8
Which of these expressions is in the simplified form?
Answer:
C!
Step-by-step explanation:
A) can be simplified into -> (x ([tex]\sqrt{3}[/tex] * x - 3*[tex]\sqrt{3y}[/tex])/3)
B) Can be simplified into ([tex]\sqrt{2x}[/tex]/2) + ([tex]\sqrt{2z}[/tex]/2)
D) Can be simplified into 5*[tex]\sqrt{5x}[/tex] - x^2
Therefore, C is the correct answer because it cannot be simplified any further!
Hope this makes sense!!!!
Please give brainliest answer! I wasited for you to delete the answer!
The sum of two number is -1/3, if one of the number is -12/3 ,find the other number? please help
Answer:
11/3
Step-by-step explanation:
-12/3 = -4
-4 + x = -1/3
X = -1/3 + 4
X = (-1+12)/3 = 11/3
11/3 + -12/3 = -1/3
please help me th that question
Answer:
Step-by-step explanation:
we need to keep in mind that what you do to the bottom of the fraction is the same you do to the top of the fraction
HELP PLEASE DUE TOMORROW
Answer:
Step-by-step explanation:
first one: 1/4
second one: 1/4
last one: 1/4
8 divided by 2=4 and 4 becmes the denominator
the answer is basicallly 1/4
What grade is this btw
Given the functions f(x)=3x−2and g(x)=−4x+1. Find (f+g)(x) and simplify completely.
[tex]\\ \sf\Rrightarrow f(x)=3x-2[/tex]
[tex]\\ \sf\Rrightarrow g(x)=-4x+1[/tex]
Now
[tex]\\ \sf\Rrightarrow (f+g)(x)[/tex]
[tex]\\ \sf\Rrightarrow f(x)+g(x)[/tex]
[tex]\\ \sf\Rrightarrow 3x-2+(-4x+1)[/tex]
[tex]\\ \sf\Rrightarrow 3x-2-4x+1[/tex]
[tex]\\ \sf\Rrightarrow 3x-4x-2+1[/tex]
[tex]\\ \sf\Rrightarrow -x-1[/tex]
Answer:
(f+g)(x) = -x - 1
Step-by-step explanation:
f(x)=3x−2
g(x)=−4x+1
(f+g)(x) = 3x -2 -4x+1
= -x - 1
Question
Translate and solve 3084 is what percent of 24,99
Solve 1/3 (3x + 6) + 2x = 26
Answer: x = 8
Step-by-step explanation:
Given
(1/3) (3x + 6) + 2x = 26
Expand parentheses and apply the distributive property
(1/3) · 3x + (1/3) · 6 + 2x = 26
x + 2 + 2x = 26
Combine like terms
(x + 2x) + 2 = 26
3x + 2 = 26
Subtract 2 on both sides
3x + 2 - 2 = 26 - 2
3x = 24
Divide 3 on both sides
3x / 3 = 24 / 3
[tex]\boxed{x=8}[/tex]
Hope this helps!! :)
Please let me know if you have any questions