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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Here you go can you answer it now I need it ASAP please.
Answer:
I think both A and B would work,
the values at which the graph of polynomial crosses the _-axis are called "roots" and are the values for which the y-value is zero.
Answer:
x- axisStep-by-step explanation:
The blank is the x-axis
Is this problem 18 points scored in 3 games and 20 points scored in 5 games.
proportional or not proportional?
Answer:
not proportional
Step-by-step explanation:
mrk brainliest
HELP ME PLEASEEEEEEEEEEE
Answer:
12
Step-by-step explanation:
12-8=4
p=12
Answer:
p is equal ro 12
Step-by-step explanation:
4=p-8
add 8 to both sides and you get 12=p
Is this 40%? If not, what's the answer? Thanks!
Answer:
It is!
Hope this Helps!
Fully factories thus expression
4h + 12
Answer:
4(h+3)
Step-by-step explanation:
4h+12
Rewriting as
4h+4*3
Factor out the 4
4(h+3)
Answer:
4(h+3)
Step-by-step explanation:
2x²-5x+2=0 solve for x
[tex]{ \huge {\underline {\underline {\mathfrak {\purple{Answer}}}}}}[/tex]
[tex] \longmapsto{2 {x}^{2} - 5x + 2}[/tex]
[tex] \longmapsto{2 {x}^{2} - 4x - x + 2}[/tex]
[tex]\longmapsto{2x(x - 2) - 1(x - 2)}[/tex]
[tex]\longmapsto{(2x - 1)(x - 2)}[/tex]
[tex] \boxed{ \huge x = \huge\dfrac{1}{2} \: or \: 2}[/tex]
PLEASE HELP. Consider the following equation -(3/2)^x +12=2x-3 Approximate the solution to the equation above using three iterations of successive approximation use the graph below as a starting point
Answer:
71/16
Step-by-step explanation:
I got it right on edmentum. Good luck with the rest of you quiz or test
Thank you top answer!
Please help and explain, I’ll mark you as brainiest
Answer: (c)
Step-by-step explanation:
Given
The sticker price is $40,000
The option price is $6000
Destination fees are $800
The base sticker price is 90% of the price i.e.
[tex]\Rightarrow 90\%\times 40,000\\\Rightarrow 0.9\times 40,000\\\Rightarrow \$36,000[/tex]
The option price is 80% of included options i.e.
[tex]\Rightarrow 80\%\times 6000\\\Rightarrow 0.8\times 6000\\\Rightarrow \$4800[/tex]
Dealers cost is given by the sum of three costs
[tex]\Rightarrow 36000+4800+800\\\Rightarrow \$41,600[/tex]
Thus, option c is correct.
Two angles in a triangle measure 28° and 93º. What is the measure of the third angle?
O 59
O 87
O 121
O152
Answer:
rather 59 or 87?
Step-by-step explanation:
Alisa has a bunch of coins. She has pennies. She has nickels. She has dimes. She has quarters. They lie in one big pile. Alisa wants to organize her coins. So she goes into her cupboard and finds four jars. Each jar has a different shape and size. Alisa puts the pennies into one jar. She puts the nickels into another jar. She puts the dimes into another jar. She puts the quarters into another jar. Then she puts all four jars on the table and steps back. Looking at them, Alisa scratches her head.( look at pic! )
Not enough information is provided to answer Because there aren't being given an exact amount of each currency. So the correct option is E.
How to find that which jar of alisha is most worth?We have been given information;
Alisa has a bunch of coins. She has pennies. She has nickels. She has dimes She has quarters. They lie in one big pile.
Alisa wants to organize her coins So she goes into her cupboard and finds four jars.
Each jar has a different shape and size. Alisa puts the pennies into one jar and puts the nickels into another jar.
She puts the dimes into another jar. She puts the quarters into another jar Then she puts all four jars on the table and steps back.
Not enough information is provided to answer Because there aren't being given an exact amount of each currency, there is no way to know for sure which jar would have the most money in it.
So the correct option is E.
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I'm testing something, so you can just take the points if you want I don't care.
Answer:
...Okay thank you!
Step-by-step explanation:
...... :)
Answer:
Hello random person, thanks for the points! <3
The difference between the squares of two numbers is aperiod twice the square of the first number increased by the square of the second number is 19. Find the numbers.
32% of what number is 8
Answer:
25
Step-by-step explanation:
x= the number
(32/100)*x=8
x=8*(100/32)
x=25
What is the mean of 9, 25, and 53?
3
9
25
29
Answer:
29
Step-by-step explanation:
9 + 25 + 53
87
87 ÷ 3
29
Answer:
29
Step-by-step explanation:
add all the numbers up and divide by how many numbers there are.
Lowest common multiple for 3ab; 6b2; 7a3b
Answer:
L.C.M = 2 × 7 = 14
Step-by-step explanation:
3ab = 3 × a × b
6b² = 2 × 3 × b × b
7a³b = 7 × a × a × a × b
L.C.M = 2 × 7 = 14
Thus, Lowest common multiple for 3ab; 6b²; 7a³b is 14
-TheUnknownScientist
Find the number of distinct arrangements of the 9 letters in SEVENTEEN. Two of the same letter are considered identical (not distinct).
The number of distinct arrangements of the 9 letters in SEVENTEEN is 7560
The number (n) of letters in SEVENTEEN is given as:
[tex]n = 9[/tex]
The repeated letters are E and N, and their frequencies are:
[tex]E=4[/tex]
[tex]N = 2[/tex]
So, the number of distinct arrangements is calculated as:
[tex]Arrangements = \frac{n!}{E!N!}[/tex]
Substitute values for n, E and N
[tex]Arrangements = \frac{9!}{4! \times 2!}[/tex]
Expand the factorials
[tex]Arrangements = \frac{362880}{24 \times 2}[/tex]
[tex]Arrangements = \frac{362880}{48}[/tex]
Evaluate the quotient
[tex]Arrangements = 7560[/tex]
Hence, the number of distinct arrangements is 7560
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I need help please ASAP
H. 200 miles in 4 hours
represents a constant rate of change of 50 miles per hour.
Answer:
H. 200 miles in 4 hours.
Step-by-step explanation:
200 miles in 4 hours.
In this situation, in 4 hours, the vehicle has driven a distance of 200 miles.
To determine the distance in one hour, divide the miles by the hour.
200 ÷ 4 = 50.
The vehicle drives at a constant rate of 50 miles per hour.
Graph the line has a slope of 1/4 and includes the point (-2,0)
Which set of 3 angles could represent the interior angles of a triangle?
34
∘
∘, 45
∘
∘, 11
∘
∘
49
∘
∘, 59
∘
∘, 72
∘
∘
49
∘
∘, 70
∘
∘, 85
∘
∘
24
∘
∘, 51
∘
∘, 15
∘
∘
9514 1404 393
Answer:
(b) 49°, 59°, 72°
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°. The only answer choice with that sum is the second one.
49°, 59°, 72°
HELP ASAP What is the area and perimeter of the figure?
Answer:
Area: 4,200 ft²
Perimeter: 300 ft
Step-by-step explanation:
Area:
(10 x 20) + (20 x 20) + (70 x 60)
=200 + 400 + 4200
=4,200 ft²
Perimeter:
60 + 70 + 60 + 20 + 20+ 40 + 20 + 10 = 300
What is the horizontal asymptote of the function F(x)=(x-2)/(x-3)^2
O y = 0
O y = 1
O y = 2
oy=3
The horizontal asymptote of the function f(x) = (x - 2)/(x - 3)²is;
A: y = 0
We are given the function;
f(x) = (x - 2)/(x - 3)²
Expanding the denominator gives us;
f(x) = (x - 2)/(x² - 6x + 9)
The rules for a horizontal asymptote are;
If the degree of the polynomials in both denominator and numerator of a rational function are the same, then the horizontal asymptote will be expressed as the quotient of coefficients of the highest degree terms.If the polynomial of the denominator has a larger degree than the numerator, then the horizontal asymptote will be y = 0.In our given expression, we can see that the degree of the denominator polynomial is greater than that of the numerator and as such the horizontal asymptote is y = 0.
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Convert 49° Celsius to degrees Fahrenheit using the following formula: F = {C+32 O A. 506.5°F OB. 196.2°F C. 94.6°F OD. 2237°F O E. 120.2°F
Answer:
Step-by-step explanation:
F = 9/5C + 32
Putting value
9/5(49) + 32
88.2 + 32
= 120.2°F
Option E is the correct answer
The Celsius temperature 49 in Fahrenheit is 120 F.
To convert Celsius to Fahrenheit, you can use the formula:
F = (C × 9/5) + 32
Let's calculate the conversion using the given Celsius value:
C = Celsius temperature
F = (C × 9/5) + 32
F= (49 x 9/5)+ 32
F= 88.2 + 32
F = 120.2 F
Thus, Celsius temperature 49 in Fahrenheit is 120 F.
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The family is having grilled steak for dinner. Ian gets a 7-ounce steak. He eats 1/2 of it. How many ounces of steak does he eat?
Answer:
3.5 ounces
Step-by-step explanation:
solve for the variable in 6/18=?/36
Answer:
12
Step-by-step explanation:
since 36 is double 18, you would then double 6. what you do to one side, you do to the other:)
Answer:
? = 12
Step-by-step explanation:
18 ⋅ 12 = 36 , multiply the numerator
6 by 2 to get 12 .
A rectangular prism has a surface area of 8 square feet. A similar rectangular prism has a surface area of 200 square feet. How many times larger are the dimensions of the larger prism?
5
10
25
625
The number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is 25 times.
Surface area of a rectangular prismThe surface area of a rectangular prism is as follows;
surface area = lwh
where
l = lengthw = widthh = heightTherefore,
surface area of the first prism = 8 ft²
surface area of the second prism = 200 ft²
Therefore, the number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is as follows;
200 / 8 = 25
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25, I got it right on my lesson... The other person is correct!!!!!!!
can someone help me with this?!!
Answer:
Slope: -2, y-intercept: -8
Step-by-step explanation:
y = mx + b
m is slope. Subtraction sign means negative slope.
b is y-intercept
FOUR balls are selected from a bag containing 15 red and 5 blue balls. What is the probability that:
(a) exactly 3 are red if the balls are replaced each time?
(b) exactly 3 are red if the balls are not replaced?
pedro's car averaged 957 miles on its 29-gallon tank of gas. If pedro runs out of gas and a mechanical comes to his rescue with 2 3/4 gallons of gas, determine how far his car can go. Round to the nearest
Answer:
His car can go 90.75 miles.
Step-by-step explanation:
We solve this question using proportions.
Pedro's car averaged 957 miles on its 29-gallon tank of gas.
This means that per gallon, his car can go:
957/29 = 33 miles.
2 3/4 gallons of gas
[tex]2 + \frac{3}{4} = 2 + 0.75 = 2.75[/tex] gallons.
Determine how far his car can go.
For each gallon, the car goes 33 miles. He has 2.75 gallons, so his car can go 33*2.75 = 90.75.
His car can go 90.75 miles.
5
Select ALL the correct answers.
Select all the statements that are true for the following systems of equations.
System A
2x - 3y = 4
4x - y = 18
System B
3x - 4y= 5
y = 5x + 3
System C
2x - 3y = 4
12x - 3y = 54
Systems A and C have the same solution.
Systems A and B have different solutions.
ООООО
Systems B and C have the same solution.
System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three.
All three systems have different solutions
Reset
Next
Answer:
I didnt get all of them but A and C are the same and A and B are different
Step-by-step explanation: