Which term is defined by the following statement?
used to demonstrate the validity of a conjecture based on the truth of a first case, the assumption of truth of a kth case, and the demonstration of truth for the (k + 1)th case
a.
sigma notation
c.
Euler’s formula
b.
mathematical induction
d.
n factorial
Answer:
Mathematical notation
Step-by-step explanation:
edge 2021
A statement 'used to demonstrate the validity of a conjecture based on the truth of a first case, the assumption of truth of a kth case, and the demonstration of truth for the (k + 1)th case' defines mathematical induction.
The correct answer is option (b) mathematical induction.
What is sigma notation?"The sigma notation (Σ) is generally used to denote a sum of multiple terms."
What is Euler's formula?In geometry, V − E + F = 2
where, V, E, and F are the numbers of vertices, edges, and faces of any simple polyhedron
What is n factorial?For a positive integer n, the n factorial is the product of all the positive numbers preceding or equivalent to n.n! = n × (n-1) × . . . × 1What is mathematical induction?It is used to prove that an identity is valid for all integers n ≥ 1 .Steps to show a propositional function F(n) is true for all integers n ≥ a, where a is a fixed integer.- F(a) is true.
- if F(k) is true for some integer k ≥ a, then F(k + 1) is also true.
For given example,
a statement 'used to demonstrate the validity of a conjecture based on the truth of a first case, the assumption of truth of a kth case, and the demonstration of truth for the (k + 1)th case' defines mathematical induction.
Therefore, the correct answer is option (b) mathematical induction.
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HELLOOOOOOOOOOOOOOOOOOOOOO
sup?
how u doin
have a good day
Find the value of x
Answer:
Vertical Angles Are Equal. Therefore,
2x + 1 = 75
2x = 74
x = 37
Step-by-step explanation:
please answer tis question plss
No nothing else thought about you doing what I was thinking of doing that was a little too cute
Does anyone know how to do this plz help if u can.
Answer:
1. Positive
2. I can't read the second question...
Step-by-step explanation:
1. When you graph this equation and look at the quadrant 2, you see that the graph makes a happy face which means that it's positive
2. Give me brainliest
Look at these figures. Which two figures have the same number of faces?
Cally wants to coat her driveway with a winter sealer. Her driveway is 18 feet long and shaped like a trapezoid. At the garage door, the driveway is 12 feet wide, then it widens to 20 feet at the street. How many square feet of sealer should Cally buy if she wants to apply two coats?
Answer:
Amount of Winter sealer for 2 coats[in square feet] = 576 square feet
Step-by-step explanation:
Given:
Length of drive way at garage door = 12 feet
Length of drive way at street = 20 feet
Length of total driveway = 18 feet
Find:
Amount of Winter sealer for 2 coats[in square feet]
Computation:
Amount of Winter sealer for 2 coats[in square feet] = 2[Area of trapezoid]
Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(Sum of parallel side)(Height)]
Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(12 + 20)(18)]
Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(32)(18)]
Amount of Winter sealer for 2 coats[in square feet] = 32 x 18
Amount of Winter sealer for 2 coats[in square feet] = 576 square feet
Is -90 + (-5) positive or negative? Explain how you know.
Answer:
negative because since -90 and -5 are both negative just add and keep it the sign which is -95
hope this helps
have a good day :)
Step-by-step explanation:
Co...
1.2 m
2.5 m
3.5 m
The front of a house needs to be painted black. The garage door is 1.5 m high and 2 m wide.
A) How many square meters of black paint will be needed to paint the house not including the
garage door?
Show your work
Answer:
16
Step-by-step explanation:
Multiplecation by the length width, and the height, then divide and its 16.
Elijah has
1/2
bag of candy. A bag of candy weighs
5 pounds. How many pounds of candy does Elijah have?
Answer:
2.5 pounds of candy
Step-by-step explanation:
5 / 2 = 2.5
In other words 5 divided by 2 is 2.5 pounds of candy
What is the volume of a triangular prism whose base has an area of 38.2mm and heigh of the prism meausers 14mm?
Answer:
534.8
Step-by-step explanation:
Volume= area × height
= 38.2×14
= 534.8
Hence the volumer is 534.8
Answer:
534.8 mm
Step-by-step explanation:
The volume of a triangular prism is given by the relation :
Volume = Base area * height
Base area = 38.2 mm
Height = 14 mm
Hence, the Volume of triangular prism is :
V = 38.2mm² * 14mm
Volume = 534.8 mm
Help pls also show work if needed! WILL GUVE BRAINLIST
Answer
14a - Yes
14b - No
14c - Yes
14d - No
Find the distance using the modulus of the difference between z = -8 +31 and 22 = 4 + 71.
a.12.6
b.10.8
c.58
d.80
Answer: c
Step-by-step explanation:
What is the factorization of the polynomial below?
3x3-12x2 - 96x
O A. 3x(x-8)(x+4)
O B. 3x(x + 3)(x+4)
O C. 3(x2 - 3)(x+4)
OD. 3(x-8)(x + 4)
Answer:
The answer is A. 3x (x-8) (x+4)
500 - 20x ≥ 200 I need help
Answer:
x [tex]\leq[/tex] 15
Step-by-step explanation:
Which statement is true..
Answer:
D
Step-by-step explanation:
count the rise over run of 2 real points
Set up an equation and solve for unknown variable.
“The difference of 2 and a number is equal to the sum of 5 and that same number”
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
Let the unknown number be x.
Translating the word problem into an algebraic expression, we have;
2 - x = 5 + x
Rearranging the equation, we have;
x + x = 5 - 2
2x = 3
x = 3/2
x = 1.5
What is the inverse function of f(x) = -2?
Hurry please
Answer:
A
Step-by-step explanation:
2x/x-1
If mL2=7x+7,mL3=5y, and mL4=140. find the value of x and y
Answer:
your picture of the electronic communications privacy act of question this is what should I
The dot plot shows the ages of students, in years, on a basketball team. Each dot represents 1 student. Find the mean (rounded to the nearest tenth) and the mode of the data.
Answer:
Mode = 15
Mean = 12.8
Step-by-step explanation:
Given the data :
As obtained form the dot plot :
X : 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15
The mean of the data:
Mean = ΣX / n
Mean = 179 / 13
Mean = 12.785 = 12.8 years
Mode = most frequently occurring value = 15
Need answer ASAP
Keiko and Eric each randomly surveyed people with cell phones. They recorded peoples’ ages (a years) and how many texts they send per day on average (t texts). For their respective data, they each drew a line of best-fit and determined its equation. They then compared equations and made inferences based only on the equations they calculated.
Answer:
subject?
Step-by-step explanation:
The inferences given can be concluded as (a) Agree, (b) Disagree, (c) Agree, (d) Disagree and (e) Disagree
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given two equations made each by Keiko and Eric. They are,
Keiko : t = -1.63a + 92.14
Eric : t = -1.05a + 80.97
(a) As the value of a increases, the value of t decreases for both of the equations.
So the first statement is true.
(b) When a = 20 and 30, t = 59.54 and 43.24 in the equation of Keiko.
When a = 20 and 30, t = 59.97 and 49.47 in the equation of Eric.
On an average, Eric's equation gives more t.
So second statement is false.
(c) t = 92.14 and t = 80.97 when a = 0.
A person with 0 years old cannot end texts.
So y intercept does not have a relevant meaning.
So c is also true.
(d) -1.63 and -1.05 is the slope of the corresponding lines.
This means that for every 1 year increase in age, the number of text messages decreased by 1.63.
So this is false.
(e) Similarly, in case of Eric's equation, for very 1 year increase in age, the number of text messages decreased by 1.05.
This is also false.
Hence the inferences are either agreed or disagreed as explained.
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Which of the following is equivalent to the expression 2(1-x)+3x
Answer: THE ANSWER IS 5 SORRY
Step-by-step explanation: SORRY
Answer:
2-2x+3x
2+x
hope this helps
have a good day :)
Step-by-step explanation:
PLLZZZ HELP MEEE. THANKS
Answer:
nose pana
Step-by-step explanation:
a marrow plants 0.5 m long. every week it grows by 20%. a find the value of the common ratio. b calculate how long the plant is after 12 weeks. e comment on the predicted length of the marrow after one year.
Answer:
The common ratio is 1.2.
After 12 weeks the plant will be 4.46 meters long.
After one year the plant will be 6,552.32 meters long.
Step-by-step explanation:
Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:
0.50 x 1.2 ^ X = Y
Therefore, the common ratio is 1.2.
0.50 x 1.2 ^ 12 = Y
0.50 x 8.916 = Y
4.4580 = Y
Therefore, after 12 weeks the plant will be 4.46 meters long.
0.50 x 1.2 ^ 52 = Y
0.50 x 13,104.63 = Y
6,552.32 = Y
Therefore, after one year the plant will be 6,552.32 meters long.
-5: -2; 1;
write the next 3 terms
Answer:
Next 3 of the sequence are 4, 7, 10
You are adding by 3.
-2 - -5= 3
-2 + 3=1
1+3=4
4+3=7
7+3=10
Solve the equation. 18 = m - 18
Answer:
n = 36
Step-by-step explanation:
18 = n - 18
add 18 to both sides
36 = n
n = 36
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
36
Step-by-step explanation:
18 + 18 = 36
36 - 18 = 18
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Konas mother realized that her difference of konas age squared and four if k represents konas age which expression represents konas mothers age
Answer:
Step-by-step explanation:
The required expression representing Kona's mother age is k^2-4
Step-by-step explanation: Given that Kona’s mother realized that her age is the difference of Kona’s age squared and four.
We are to find the expression that represents Kona’s mother’s age.
Given that Kona's age is represented by k .
So, the square of Kona's age will be k^2
Now, we are suppose to take the difference of k^2 and 4, which is represented by k^2-4
We cannot take 4-k^2 because the age of Kona's mother cannot be so small.
Therefore, if 'm' represents the age of Kona's mother, then we get
m=k^2-4
Thus, the required expression is k^2-4
Sin60+ tan60÷ cos60+ sec60
Answer:
5.196152423
Step-by-step explanation:
Answer for this problem: 6.33012701
I WILL GIVE Brainiest IF YOUR RIGHT
Answer:
answer: A.
Step-by-step explanation:
A triangle adds up to 180 degrees A cannot be the angle measurements of a triangle because it equals over 180 degrees because
60 + 60 + 61 = 181 So A is the answer. Hope that helps!