The three types of algorithms are Brute Force algorithm, Greedy algorithm and Recursive algorithm.
What is Brute Force algorithm?As a very general approach to problem solving and an algorithmic paradigm, brute-force search or exhaustive search entails iteratively listing all potential candidates for the solution and determining if each one satisfies the problem's statement.
In order to find the divisors of a natural number n, a brute-force algorithm would count all integers from 1 to n & determine whether each one divides n without leaving a remainder.
A brute-force method might look at all possible configurations of 8 pieces on the 64-square chessboard and determine whether each queen piece may engage in mutually exclusive attacks for each configuration for the eight queens puzzle.
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How does the parabola open? Is the vertex a minimum or maximum value?
f(x) = 5x²-3x
The parabola is open upward direction. The vertex is the minimum value of the parabola.
What is a parabola?
A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves. A point and a line are two ways to describe a parabola.
Given quadratic function is
f(x) = 5x² -3x
The leading term of the given function is 5x².
The sign of the leading term is positive, thus it is open upward direction.
Rewrite the given function in the form f(x) = a(x - h)² + k
f(x) = 5x² -3x
f(x) = 5( x² - 3/5 x)
f(x) = 5( x² - 3/5 x + 9/100 - 9/100)
f(x) = 5( x² - 3/5 x + 9/100) - 5 × 9/100
f(x) = 5( x - 3/10)² - 9/20
f(x) = 5( x - 3/10)² + (-9/20)
The vertex of the parabola is (3/10, -9/20).
Since the parabola opens upward direction, thus the vertex of the parabole is a minimum value.
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Peter i making 30 undae with mint,chocolate,and vanilla icecream. 3/5 of the undae are mint icecream and 1/2 of the remaining undae are chocolate. The ret will be vanilla. How many undae will be vanilla?
Ty for helping me :)
-Credit to Zearn
The amount of vanilla in the ice cream is 1/5 in the sundae that is being mad by Peter.
Peter make sundae by using mint chocolate and vanilla ice cream.
It is given to us that, the mint ice cream is 3/5 and chocolate is 1/2 of the remaining.
So, first we calculate the amount of chocolate,
Let us say that, we take the sundae as 1,
so, algebraically, the mint is,
X - 3/5 = 1
X = 2/5
Now, half of the 2/5 is,
Half of 2/5 = 2/5x1/2
Half of 2/5 = 2/10
Half of 2/5 = 1/5
So, the remaining portion after filling chocolate is 1/5
So, the vanilla ice cream will be 1/5.
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In a triple batch of spice mix, there are 6 teaspoons of garlic powder and 15 teaspoons of salt. Answer the following questions about the mix. If you get stuck, create a double number line.
In a double number line diagram, equal ratios are represented by two parallel number lines. On both number lines, the tick marks are in the same places. Though the other numbers are frequently varied, the tick marks labeled with 0 always line up.
How to create a double number line?According to question:-
How much more garlic powder than salt is in the triple batch?
Answer: 6 teaspoons of garlic powder - 15 teaspoons of salt = -9 teaspoons. So there is 9 teaspoons less garlic powder than salt in the triple batch.
How much spice mix is in the triple batch?
Answer: 6 teaspoons of garlic powder + 15 teaspoons of salt = 21 teaspoons of spice mix.
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Please help asap! Appreciate everyone!
Answer:
b and c
Step-by-step explanation:
b is basically saying flip it up and turning the whole thing left which will put it on top of pnms and c is saying rotate it where line sr and sm would be side by side then flip it right
Vanessa will sell yogurt for $2.50 a cup. Fill in the table to show how much money Vanessa will make if she sells 19 cups of vanilla yogurt.
Answer:
2.50 × 19 = 47.5
Therefore, she would get $47.5 if she sold 19 cups.
AOC and BOD are diameter of a circle, centre O, prove that ABD and DCA are congruent by RHS
It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.
RHS congruency criteria:Triangles must have equal corresponding sides and equal corresponding angles in order to be congruent.
According to the RHS congruence theorem, two right-angled triangles are congruent if their respective hypotenuses and sides are the same as those of another right-angled triangle.
Here we have
AOC and BOD are diameters of a circle and have a center O.
It is given that AOC and BOD are diameters of a circle.
From the triangles Δ AOC and ΔBOD
⇒ BD = CA [ Diameters of the circle i.e Hypotenuse of triangles ]
⇒ ∠BAD = ∠CDA [ Right angles in a semicircle is 90°]
⇒ AD = AD [ Common in both triangles i.e sides of triangles ]
Thus, Using RHS congruence criteria
⇒ ΔABD ≅ ΔDCA
Hence,
It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.
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what is the y-intercept of a line that passes through the points (2, -2.5) and (4, -2)?
Answer:
Step-by-step explanation:
To find the y-intercept, we can use the slope-intercept form of a linear equation which is y = mx + b, where m is the slope of the line, and b is the y-intercept.
Since the line passes through the points (2, -2.5) and (4, -2), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
To find the slope(m) we can use the rise over the run formula ,
m = (y2 - y1) / (x2 - x1) = (-2 - (-2.5)) / (4 - 2) = -0.5
then we can substitute the values in point-slope form
y - (-2.5) = -0.5 (x - 2)
And now we can use x = 0,
y = -0.5(0-2) -2.5 = 1.5
so the y-intercept of the line is 1.5
How do you find the third side of a right triangle with two sides?
The Third side of the right triangle with two sides can be found by Pythagoras Theorem that means by adding the square of other two sides .
What is Pythagoras Theorem ?
The Pythagoras Theorem states that the , in a Right Triangle, the square of the hypotenuse side (longest side) is equal to the sum of squares of the other two sides“.
The sides of this triangle are named as Perpendicular, Base and Hypotenuse. where , the hypotenuse is longest side of the triangle , because , it is opposite to the angle 90°.
Therefore , the third side (longest side) of a right triangle with two sides can be found by adding the square of the other two sides .
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Find whether the following expressions are functions in the ranges they are defined.
The options that shows expressions which are functions in the ranges they are defined are;
Option A: f(x) = 2x + 5
Option B: f(x) = x² + 1
How to identify real numbers and Integers?Real numbers are defined as the combination of rational and irrational numbers, in the number system. This means that, all the arithmetic operations can be performed on real numbers and they can be represented in the number line.
Now, integers are defined as whole numbers that can be positive, negative or zero.
a) We are told that the input of real numbers must yield only real numbers. Yes this is true because any real number we put in for x in f(x) = 2x + 5 will yield an output that is also a real number.
b) We are told that the input of real numbers must yield only real numbers. Yes this is true because any real number we put in for x in f(x) = x² + 1 will yield an output that is also a real number.
c) We are told that the input of real numbers must yield only real numbers. No this is not true because if we put -1 which is a real number for x in the denominator, we will get an undefined function.
d) We are told that the input of integers must yield only integers. No this is not true because if we put 1 for x which is an integer, we will get a fraction which is not an integer.
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I dont know how to prove the equation below...pls help prove it with clear steps, i have no clue how does sin^2x can go into 1+cosx
Answer:
Answer:
Foci: (±5, 0)
Vertex: ( ±4 , 0)
Eccentricity: e = 5/4
Step-by-step explanation:
Hyperbola:
Write the equation of hyperbola in the form,
\boxed{\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1}
a
2
x
2
−
b
2
y
2
=1
9x² - 16y² = 144
Divide the entire equation by 144,
\begin{gathered}\sf \dfrac{9x^2}{144}-\dfrac{16y^2}{144}=\dfrac{144}{144}\\\\\\ \dfrac{x^2}{16}-\dfrac{y^2}{9}=1\\\\\\\dfrac{x^2}{4^2}-\dfrac{y^2}{3^2}=1\end{gathered}
144
9x
2
−
144
16y
2
=
144
144
16
x
2
−
9
y
2
=1
4
2
x
2
−
3
2
y
2
=1
a = 4 and b =3
Eccentricity: e
\boxed{e=\sqrt{1+\dfrac{b^2}{a^2}}}
e=
1+
a
2
b
2
\begin{gathered}\sf = \sqrt{1+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{16}{16}+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{25}{16}}=\sqrt{\dfrac{5*5}{4*4}}\\\\\\=\dfrac{5}{4}\end{gathered}
=
1+
16
9
=
16
16
+
16
9
=
16
25
=
4∗4
5∗5
=
4
5
Foci:
(ae, 0) & (-ae , 0)
\begin{gathered}\sf \left(4*\dfrac{5}{4},0 \right) \ ; \ \left( -4*\dfrac{5}{4},0 \right)\\\\\\(5, 0) \ ; \ (-5,0)\end{gathered}
(4∗
4
5
,0) ; (−4∗
4
5
,0)
(5,0) ; (−5,0)
Vertex of hyperbola:
The vertex of the hyperbola is a point where the hyperbola cuts the axis. (-a , 0) ; (a , 0)
Vertex : (-4 , 0) ; (4 , 0)
Tyler is flying a kite on 100 feet spring how high is it above the ground if the horizontal distance between Tyler and the kite is 600 feet
If the horizontal distance between Tyler and the kite is 600 feet then the kite is 80 ft above the ground.
Pythagorean theoremPythagoras's Theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. This can be mathematically represented as:
[tex]c^2 = a^2 + b^2[/tex]
Where c is the length of the hypotenuse, and a and b are the lengths of the legs of the triangle.
The theorem is named after the ancient Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although it is often argued that the theorem may have been known to the Babylonians and Indians over a thousand years earlier.
Pythagoras's theorem is widely used in mathematics and physics, especially in trigonometry and in the study of triangles and their properties, and it's also used to find the distance between two points in a two-dimensional space, for example, in cartesian coordinates.
Hypotenuse2 = Perpendicular2 + Base2
c2 = a2 + b2
We apply the Pythagorean Theorem to determine the kite's height, h
the problem can solve if the kite is 60feet
[tex]h^2 = 100^2 - 60^2\\h^2 = 10000 - 360\\h^2 = 6,400\\h=\sqrt{6400} \\h=80[/tex]
h =80 ft (we take the positive solution since the height can not be negative number)
The kite is 80 ft above the ground.
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Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56. What are the odds in favor of Adam seeing a meteor in the next 10 minutes?
The odds from the probability is 14 : 11
How to determine the odds from the probability ?The value of the probability is given as
Probability in the next 10 minutes = 0.56
This means that
p = 0.56
Represent the probability as a fraction
So, we have the following representation
p = 56/100
Simplify the fraction
p = 14/25
To convert the probability to odds, we make use of the following equation
Probability = Odds/(1 + Odds)
Substitute the known values in the above equation, so, we have the following representation
14/25 = Odds/(1 + Odds)
So, we have
(1 + Odds) * 14/25 = Odds
This gives
14/25 + Odds * 14/25 = Odds
Evaluate the like terms
11/25 * Odds = 14/25
So, we have
Odds = 14/11
Express as ration
Odds = 14 : 11
Hence, the odds is 14 : 11
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What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.
The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required to be determined is; 25.
What is the maximum possible quotient of any pair of numbers from the set?It is evident from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.
On this note, since the quotient which is to be maximised is hypothetically; x / y;
Therefore, in a bid to maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.
On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;
10 / (2 / 5)
= ( 10 × 5 ) / 2
= 25.
Ultimately, it can be inferred that the greatest possible quotient as required is; 25.
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difference between -0.4 and 44.4
Answer:
44.8
Step-by-step explanation:
44.4 - (-0.4) = 44.8
Tree+snowman+tree=17
Answer:
tree = 8
snowman = 1
deer = 4
snowflake = 4
Step-by-step explanation:
say t = tree, s = snowman, d = deer, f = snowflake
1. For 2d + f, since you know d is equal to f, replace the snowflake with a deer, turning the equation into 3d = 12. To find the value of d divide by 3 on both sides. This will result in 4. So, the value of deer = 4.
2. Now, find the value of the snowman using the value of the deer.
4-3 = 1. This means the value of the snowman = 1.
3. Plug in the value of the snowman into 2t + s = 17.
2t + 1 = 17
Subtract on both sides to get 2t by itself and then simplify
2t = 17 -1 --> 2t = 16
Divide by 2 on both sides to find the value of the tree
2t/2 = 16/2 --> t = 8
Use the distributive property to rewrite each expression. Then evaluate. 14 (102)
Using the distributive property to rewrite the expression, gives (14 x 10) + ( 14 x 2). When evaluated, the result would be 168.
What is the distributive property?According to the distributive property, it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.
This means that with the formula given, 14 (10 + 2):, the distributive property makes it:
= 14 (10 + 2)
= (14 x 10) + ( 14 x 2)
The evaluation gives :
= (14 x 10) + ( 14 x 2)
= 140 + 28
= 168
In conclusion, using the distributive property gives (14 x 10) + ( 14 x 2).
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is -0.0022 is smaller than -0.022
Answer: No, -0.0022 is not less that -0.022
Step-by-step explanation:
1. We know that the bigger the negative number the lesser it is ( 0.022 is a bigger number than 0.0022) but since it's a negative number it's less in value.
Water in a swimming pool is treated with two chemicals mixed in the ratio of 5: 4. The total volume of the chemicals is 48 litres. How much of each chemical is used?
Write the place value and value of each digit of the decimals 6905.327 also write its name and expanded form
Answer:
6000.000 + 900.000 + 0 + 5 + 3/10 + 2/100 + 7/1000
six thousand nine hundred and five ones point(.) three tenths two hundredths and seven thousandths
Step-by-step explanation:
right!!!
How do you create a function in forex?
A trader can create their own automated trading strategies in forex by writing a script or program in a programming language, such as MQL4 or Python. This script will contain instructions to execute trades according to specific criteria defined by the trader. They can then backtest the strategy to see how it performs.
1. Decide on a trading strategy. This could include things like setting entry and exit points, calculating position sizes, and setting stop losses and take profits.
2. Choose a programming language that is compatible with the trading platform you are using, such as MQL4 or Python.
3. Write the script or program that will contain the instructions for the trading platform to follow in order to execute the trading strategy.
4. Test the script or program to make sure it works properly.
5. Run a backtest to see how the trading strategy performs.
6. If the results of the backtest are satisfactory, you can deploy the trading strategy on the trading platform.
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Find the greatest common factor of $144$ and $405$.
Answer:
Step-by-step explanation:
Find the prime factorization of 144
144 = 2 × 2 × 2 × 2 × 3 × 3
Find the prime factorization of 405
405 = 3 × 3 × 3 × 3 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 3
Answer = 9
find the probability that a point chose a t random on the part of the number line shown will lie between points B and C. (anwser should be in a fraction or decimal)
The probability of point being in between B and C is 0.167
A probability definition is what?Probability is a statistic used to indicate the likelihood or potential that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.
What are examples and probability?The likelihood is based on the range of potential outcomes. the total number of possible outcomes. As an illustration, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.
Distance between B and C= 4 units
Total distance=24
Probability that point lie between B and C = 4/24 =1/6
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need help with #7 a and b. i’m in Algebra 1 and this is lesson 5 Exponential Algebra and Functions.
There is no upper limit if the ratio raises x to a higher power. The limit is 0 if the ratio causes the power of x to be reduced to zero.
A ratio is what?A ratio is an expression for an ordered pair of numbers, a and b, where b is not equal to zero and the expression is written as a/b. A ratio is created by combining two ratios. Assuming a ratio of one boy to three girls, this would suggest that 3/4 of the population is female and only 1/4 is male. A part can be an amount, a percentage, or the difference between two or more objects.
Here,
The ratio of, say, the highest-degree words serves as the upper bound as x grows.
There is no upper bound on how much the ratio can raise the power of x. The limit is 0 if the ratio causes the power of x to be reduced to zero.
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Is the area of an equilateral triangle is 196 root 3 cm square then each of its side is?
Therefore , In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.
What is triangle?
Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.
What is polygons ?A polygon is a closed two-dimensional geometric shape that has three or more straight sides. The sides of a polygon are called edges and the points where the edges meet are called vertices.
Here,
We must apply the mathematical procedure for computing an equilateral triangle's area.
An equilateral triangle's area is equal to 3/4 of each side; assume that each side is x cm long.
[3/4 (a)2] cm2 is the equilateral triangle's surface area.
In light of the information mentioned in the query,
√3/4 × (a)² = 196√3
a²/4 = 196√3/√3
a²/4 = 196
a² = 196×4
a² = 784
a = √784
a = 28
In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.
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The square on the right is a scaled copy of the square on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
8
8
4
Writing the whole number in the numerator and 1 in the denominator. Fraction in simplest form is 8
In the simplest form, how do you write an answer as a fraction?How to Find the Most Basic Form
Determine the GCF of the fraction’s numerator and denominator.
Divide the created GCF by the numerator and denominator.
Fill in the blanks with the simplified fraction of the supplied fraction.
The most basic form, If the top and bottom have no common components other than 1, the fraction is in its simplest form. In other words, the top and bottom cannot be divided any further and still remain full numbers. You may sometimes hear the phrase “lowest terms” when referring to the simplest form.
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The first rule is add 4 starting from 2. The second rule is subtract 4 starting from 28. What is the second ordered pair using the terms in each sequence? A (2, 28) B(6, 24) C (14, 16) D (10, 20)
The second ordered pair using the terms in each sequence is B (6, 24).
THE SEQUENCE PAIRThe first rule says to add 4 to the first term of the ordered pair, starting from 2. So the first term of the second ordered pair would be 2+4 = 6.The second rule says to subtract 4 from the second term of the ordered pair, starting from 28. So the second term of the second ordered pair would be 28-4 = 24.
Therefore, the second ordered pair using the terms in each sequence is B (6, 24).
The third ordered pair using the terms in each sequence would be C (14,16) and the fourth ordered pair would be D (10,20)This is because:
C (14,16) can be obtained by adding 4 to first term of B(6,24) which is 6+4 = 10 and subtracting 4 from second term of B(6,24) which is 24-4=20.
D (10,20) can be obtained by adding 4 to first term of C(14,16) which is 14+4 = 18 and subtracting 4 from second term of C(14,16) which is 16-4=12.
So the sequence list of ordered pair would be:
First order: A (2,28)
Second order: B(6,24)
Third order: C (14,16) D (10,20)
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A radioactive compound with mass 320 grams decays at a rate of 27% per hour. Which equation represents how many grams of the compound will remain after 7 hours?
Answer:
320 grams ÷ 27% = 8.3 grams
Step-by-step explanation:
mark brainliest plss
Yara is 8 years old. Yara's mother is 4n times older than Yara. How old
was Yara's mother 5 years ago in terms of n?
Yara's mother was 32n-5 years old 5 years ago in terms of n.
Yara's mother is 4n times older than Yara, and Yara is 8 years old, so we can set up the equation:
Mother's age = 4n * 8 years
We are also told that Yara's mother is 5 years older than she is now, so we can add 5 to the equation above:
Mother's age 5 years ago = 4n * 8 years - 5 years
Now we can simplify this equation:
Mother's age 5 years ago = 32n - 5 years
Now we can substitute the value of n to find the mother's age in terms of n.
To find the age of Yara's mother 5 years ago in terms of n, we need to know the value of n. But we don't have the value of n so we can't find the exact age but we can find it in terms of n which is 32n-5 years.
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in a right triangle with sides a and b and c where c is the hypotneuse, what is the cosine of angle A?
In a right triangle with sides a and b and c where c is the hypotenuse, then the cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.
In the given question, in a right triangle with sides a and b and c where c is the hypotenuse, then we have to find the cosine of angle A.
A right triangle is a triangle with one of the internal angles at 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.
The cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.
Cosine of angle A = Adjacent side to the angle A/Side adjacent to the angle A
Cosine of angle A = b/c
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Willl mark you brainlieestttt
Answer:
√28 and √11
Step-by-step explanation:
Note : -
Irrational number is any real number that cannot be expressed as the quotient of two integers.
Here,
√28 = 5.291.......
5.291.... is an infinite number, it keeps going, it cannot be expressed in terms of a fraction.
Similarly,
√11 = 3.316......
Hence,
√28 and √11 are irrational numbers.