Answer: x=7[tex]\sqrt{3}[/tex] and y = 14
Step-by-step explanation:
give an algorithm to find all nodes less than some value, x, in a binary heap. your algorithm should run in o(k), where k is the number of nodes output
An algorithm to find all nodes less than some value in a binary heap is binary_heap (int, int)
The term called algorithm is defined as a set of instructions for solving a problem or accomplishing a task.
Here we have know that the binary heap is a full binary tree that means all of its node full with 2 children except last one it may have one child or even empty Also in min heap, all node has value less than its children values in a max heap all node has a value greater than then it can be written as,
void binary_heap(Node *node, int x)
{
if (node->value >= o(x))
{
return 0;
}
printf("%d\n", node->value);
if (node->left != NULL)
binary_heap(node->left, x);
if (node->right != NULL)
binary_heap(node->right, x);
}
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Pick the Correct postulate to fill in the blank in the proof.
*
Answer:
reason 1: Given
reason 2: Property of Cross Multiplication
reason 3: Vertical Angles are Congruent.
reason 4: SAS
which statement best explain the relationship between numbers divisable by 9 and 3
Answer/Step-by-step explanation:
All numbers that are divisible by 9 are also divisible by 3.
Since 3 goes into 9, if 9 is a factor, 3 is also a factor.
Example:
81 is divisible by 9.
So, 81 is also divisible by 3.
Another example:
1,273,050 is divisible by 9.
So 1,273,050 is also divisible by 3.
But the other way around is not necessarily true. If 3 goes into a number, 9 may or may not go into the number.
That is, if a number is divisible by 3, you cannot necessarily know that it is divisible by 9.
Example (seems like it works):
18 is divisible by 3. 18 is also divisible by 9.
But it doesn't work every single time so it cannot be a rule.
Example(sometimes it doesn't work):
24 is divisible by 3.
24 is not divisible by 9.
Solve 278=34(z+1) . Express your answer as a mixed number in simplest form.
z=122/17
Step-by-step explanation:
1) Distribuez: 278=34z+34
2) Soustrayez 34 des deux côtés: 244=34z
3) diviser les deux par 34 puis simplifier: le résultat est z= 122/17
Ind an equation of the line that atifie the given condition. Through (−1, −2); perpendicular to the line 2x 5y 5 = 0
The equation of the line perpendicular to the line 2x + 5y + 5 = 0 is 5x - 2y + 1 = 0.
As per the given data the given equation is 2x + 5y + 5 = 0
Here we have to determine the equation of the line perpendicular to the line 2x + 5y + 5 = 0
Firstly write the equation in y = mx + c format.
2x + 5y + 5 = 0
5y = -2x - 5
y = [tex]$\frac{-2}{5}[/tex]x - 1
[tex]m_{1}=\frac{-2}{5}[/tex]
Condition for two perpendicular lines.
[tex]m_{1} \times m_{2}[/tex] = -1
[tex]$\frac{-2}{5} m_{2} = -1[/tex]
[tex]$m_{2} = \frac{5}{2}[/tex]
Now substitute the slope value in the equation y = mx + c
We get:
y = [tex]$(\frac{5}{2} )[/tex]x + c
2y = 5x + 2c
2y - 5x = 2c
Since the line passes through (-1, -2)
Hence:
2(-2) - 5(-1) = 2c
-4 + 5 = 2c
2c = 1
c = [tex]$\frac{1}{2}[/tex]
Now substitute the value of c in 2y - 5x = 2c
2y - 5x = 2[tex]$(\frac{1}{2} )[/tex]
2y - 5x = 1
(0r)
5x - 2y + 1 = 0
Therefore the equation is 5x - 2y + 1 = 0.
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please please please
i have literally been working on this all day :(
is 2 the only even prime number
Answer:
yes 2 is only even prime number because it was divide by only 1 and 2
Answer:
yes
Step-by-step explanation:
Yes....every other even number is divisible by two which means they cannot be prime. Primes are divisible only by 1 and the number itself.
The main scale of a vernier callipers reads 10 mm in 10 divisions. 10 divisions of Vernier scale coincide with 9 divisions of the main scale. When the two jaws of the callipers touch each other, the right of zero of main scale. When a cylinder is tightly placed between the two jaws, the zero of vernier scale lies slightly to the left of 3.2 cm and the fourth vernier division coincides with a main scale division. The diameter of the cylinder is.
A 3.09 cm
B 3.9 cm
C 3.90 cm D 39mm
The answer will be option C (3.90 cm).
To find the diameter, we need to determine the exact length reading on the main scale and then add the Vernier scale reading. We know that 10 divisions of the Vernier scale coincide with 9 divisions of the main scale.
If the zero of the Vernier scale lies slightly to the left of 3.2 cm on the main scale, then we can assume that it lies between the 3rd and 4th division of the main scale. Since the 4th division of the Vernier scale coincides with a main scale division, we can determine that the length reading on the main scale is 3.3 cm.
Next, we need to determine the Vernier scale reading. Since the 4th division of the Vernier scale coincides with a main scale division, the reading on the Vernier scale is 0.1 cm. Adding the main scale reading (3.3 cm) and the Vernier scale reading (0.1 cm), we get a total length reading of 3.4 cm.
Since the cylinder is tightly placed between the jaws of the callipers, we can assume that this length reading is equal to the diameter of the cylinder. Therefore, the diameter of the cylinder is 3.4 cm. The answer is closest to option C (3.90 cm).
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A building in a city has a rectangular base. The length of the base measures 60ft less than three times the width. The perimeter of the base is 840ft. What are the dimensions for this base?
The width of the base is __ft
Answer:
The width of the base is 120ft. The length of the base is 60ft less than three times the width [1][2], so the length of the base is 180ft. Therefore, the dimensions of the base are 120ft x 180ft.
a base of a solid whose height is 7 yards is shown. find the volume of the solid in cubic yards
Volume of solid is 343 cubic yards.
What is volume?Volume is defined as the amount of space occupied by an object within the boundaries in the three dimensional space.
A base of a solid whose height is 7 yards is shown.
Let us consider the solid as cube.
Volume of cube = [tex]a^{3}[/tex] cubic units.
Here side, a =7 yards.
Volume ,V= [tex]7^{3}[/tex] = 343 cubic yards.
Hence, Volume of solid is 343 cubic yards.
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A three-Columm table is given. part. part. whole. what is the value of B in the table?
Answer:
Just giving my first answer.I don't know the answer.If I knew I'd tell you
What is the maximum number of major ideas that can be included in a specific purpose statement?
one
The maximum number of major ideas that can be included in a specific purpose statement depends on several factors, but it is generally recommended that the statement include one to three major ideas. This helps the speaker to focus their ideas and organize their content in a way that effectively communicates their message to the audience
A specific purpose statement is a statement that defines the main objective or goal of a speech or presentation. It serves as a guide for the speaker, helping them to focus their ideas and organize their content in a way that effectively communicates their message to the audience.
The number of major ideas that can be included in a specific purpose statement depends on several factors, including the length of the speech or presentation, the complexity of the topic, and the speaker's ability to effectively communicate their message.
In general, it is recommended that a specific purpose statement include only one to three major ideas. This allows the speaker to focus their attention on a limited number of key points and ensures that the audience is not overwhelmed with too much information. Additionally, having a limited number of major ideas makes it easier for the speaker to organize their content and for the audience to understand and retain the information.
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A specific purpose statement should include one or two major ideas that are focused and directly relevant to the topic at hand.
Including too many ideas can make the statement confusing and difficult for the audience to understand, so it's important to be selective about which ideas to include.
The goal is to create a specific purpose statement that is clear, concise, and easy for the audience to understand, while effectively conveying the key ideas of the communication.
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I NEED HELP ASAP
A circle has a radius of \blue{10}10start color #6495ed, 10, end color #6495ed. An arc in this circle has a central angle of 72^\circ72
∘
72, degrees.
What is the length of the arc?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
The arc length covered by the central angle equal to 72° is 12.56°
What are arc length?Arc length is the distance between two points along a section of a curve.
Given that, a circle with radius 10 units and a central angle equals 72°, we need to find the arc length covered by the central angle = 72°
We know that,
Arc length = 2π × radius × (θ / 360°), where θ is the central angle
Arc length = 2 × 3.14 × 10 × 72°/360°
= 12.56°
Hence, the arc length covered by the central angle equal 72° is 12.56°
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What is the mode of the following numbers? 1, 2, 2, 8, 9, 14
A. 8
B. 9
C. 2
D. 14
Answer:
C) 2
Step-by-step explanation:
Mode means which number do you have the most of. You have the most 2's.
The surface area of a cylinder with a radius of 3 inches is 787 square inches. What
is the height of the cylinder in inches? (Do not enter units)
The height of cylinder is 38.772 inches.
Consider r and h as the radius and height of the cylinder, respectively.
Given: Radius of the cylinder (r) = 3 inches
Surface area of the cylinder = 787 square inches
Now we have to calculate the height of the cylinder.
As we know the surface area of cylinder
The Surface area of cylinder= Curved Surface + Area of Circular Bases
787 = 2πrh + 2πr²
787 = 2πr(r+h)
787 = 2×3.14×3 (3+h) {π=3.14}
787 = 18.84 (3+h)
787÷18.84 = (3+h)
41.772 = (3+h)
41.772-3 = h
38.772 =h
Height of cylinder= 38.772 inches
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a area of a rectangle is 32m squared. what is the length and the width
The coordinate points on the first quadrant represent the possible dimensions of the rectangle with an area of 32 m².
What is a function? What is a quadratic function?A function describes a relationship between a dependent and independent variable. Example -
y = f(x) = 5x + 9
Given is that the area of a rectangle is 32 m².
Assume that the length and breadth of the rectangle are {x} m and {y} m respectively. We can write the area of the rectangle as -
xy = 32
We can write -
y = 32/x .... Eq { 1 }
The dimensions cannot be negative. So, the coordinate points on the first quadrant represent the possible dimensions of the rectangle.
Therefore, the coordinate points on the first quadrant represent the possible dimensions of the rectangle with an area of 32 m².
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What’s the answer for this problem
Answer:
(x-4)2=16
Step-by-step explanation:
0.6 divided by 78
:)
Answer:
0.6 divided by 78 is 0.00769230769
or if you meant
78 divided by 0.6 it is 360
Step-by-step explanation:
Find the 12th term of the geometric sequence 2, 10, 50, ...2,10,50,...
Write a story problem for which the following calculator command would be used in finding the solution.
a) Binomialpdf(20, 0.25, 12)
b) Binomialcdf(20, 0.25, 12)
the probability of success (0.25 in this case), and the number of successes (12 in this case). The command will then calculate the cumulative probability of 12 or fewer employees being late for work.
A company has 20 employees, and each employee has a 25% chance of being late for work. What is the probability that 12 or fewer employees will be late for work?
The calculator command Binomialcdf(20, 0.25, 12) would be used to find the solution.
Binomialcdf is a calculator command used to calculate the cumulative probability of a binomial distribution. The command takes three parameters: the number of trials (20 in this case), the probability of success (0.25 in this case), and the number of successes (12 in this case). The command will then calculate the cumulative probability of 12 or fewer employees being late for work.
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Unconstrained population growth is controlled by the differential equation P' = KP.(a) Solve by separation of variables. Your answer will have two constants (K and the integration constant C).(b) Consider a culture of bacteria undergoing unconstrained growth. The initial population is 3M and after 5 hours the population is 7M. Find the exact function describing the population growth.(c) Under the assumptions of the previous part, what will the population be after 10 hours? Give an exact expression using your function from the previous part, then use a computer or calculator to get a number.(d) The population after 10 hours should be exactly 49/3 . Check this, and if it isn’t true correct your work. Can you see why this is true without using any differential equations?
Unconstrained population growth equation solved by separation of variables. P = Ce^(Kt). Corrected function found using initial and 5 hour population data. After 10 hours, population is 16,333,333.33.
What is integral ?
An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration.
(a) Solution by separation of variables:
P' = KP
dp/dt = KP => dP/P = K dt
∫(dP/P) = ∫K dt => ln|P| = Kt + C, where C is the integration constant.
P = Ce^(Kt)
(b) Initial population is 3M and after 5 hours the population is 7M.
Using the formula from (a), we have:
Ce^(K5) = 7M => Ce^(K5) = 7*10^6
3M = Ce^(K0) => 310^6 = C
Therefore, the exact function describing the population growth is:
P = 3*10^6 * e^(Kt)
(c) After 10 hours, the population will be:
P = 310^6 * e^(K10)
(d) The population after 10 hours should be exactly 49/3.
Checking with the formula from (c), we have:
P = 310^6 * e^(K10) = 49/3 * 10^6 = 49,000,000 / 3 = 16,333,333.33
Unconstrained population growth equation solved by separation of variables. P = Ce^(Kt). Corrected function found using initial and 5 hour population data. After 10 hours, population is 16,333,333.33.
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Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number
of the pattern and b is the number of blocks in each figure. How many blocks are needed to make
the 9th figure in the pattern? Enter your answer in the box.
The number of blocks needed to make the 9th figure in the pattern is 24.
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 that,
Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number of the pattern and b is the number of blocks in each figure.
For the first figure, number of blocks = (2 × 1) + 6 = 8
For the 2nd figure, number of blocks = (2 × 2) + 6 = 10
This will go on.
For the 9th figure, number of blocks = (2 × 9) + 6 = 24
Hence there will be 24 blocks in the 9th figure.
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If the diameter of a circle is 7cm then write the length of its semicircular arc
(π/180) x (180) x (7) = (π) x (7) = 21π cm.
Step-by-step explanation:The length of the semicircular arc of a circle can be found using the formula:
arc length = (π/180) x (arc degree measure) x (circle's diameter)
If the diameter of the circle is 7cm, then the length of the semicircular arc would be:
(π/180) x (180) x (7) = (π) x (7) = 21π cm.
Answer:11cm
Step-by-step explanation:
Diameter of the circle= 7cm
so, radius of the circle= 7/2= 3.5 cm
for getting length of the semicircular arc= sircumference of circle / 2
circumference of the circle = 2pi r
lenght of the semicircular arc= 2pi r/2
=pi r
= {22/7}*
=11cm
A biologist wants to create an SRS to study the effect of a medication on the respiration rate of his subjects. He places the ID number of each of the subjects into a box, shakes the box, and chooses 10 of the ID numbers without looking. Which statement best describes this sample? It is a random sample but not an SRS. It is both a random sample and an SRS. It is neither a random sample nor an SRS. It is an SRS but not a random sample.
Answer: this will help you
Step-by-step explanation:
A biologist wants to create an SRS to study the effect of a medication on the respiration rate of his subjects.
Answer: B. It is both a random sample and an SRS.
Determine if the triangles are similar by Angle-Angle Similarity
The required triangles that are similar by angle-angle similarity are,
(1) ΔCDE ≅ ΔGFE (2) ΔLQP ≅ ΔLMN (3) ΔSTE ≅ ΔCWH
(4) Triangles are not similar. (5) Triangles are not similar.
(6) ΔPXQ ≅ ΔZXY
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
Here,
(1)
Consider ΔCDE and ΔGFE
∠C = ∠G [alternate interior angle of parallel lines]
∠CED = ∠GEF [opposite angles]
There, for ΔCDE ≅ ΔGFE bu AA postulate.
Similarly,
(2) ΔLQP ≅ ΔLMN
(3) ΔSTE ≅ ΔCWH
(4) Triangles are not similar.
(5) Triangles are not similar.
(6) ΔPXQ ≅ ΔZXY
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et R be the region in the first quadrant under the graph ofy=x/(x2+2) for 0≤ x≤ √6.a) Find the area of R.b) If the line x=k divides R into two regions of equal area, whatis the value of k?
The area of R is ln(4) - ln(√2) and the value of k is √2.
a) To find the area of the region R, we need to find its definite integral with respect to x. Using substitution, we can write the integral as follows:
Let u = [tex]x^{2}[/tex] + 2, du/dx = 2x, dx = du/2x
Area of R = ∫[0,√6] x/([tex]x^{2}[/tex] + 2) dx = ∫[2,8] (1/2) du/u = (1/2) ln(u) evaluated from 2 to 8 = (1/2) ln(8) - (1/2) ln(2) = ln(4) - ln(√2)
b) The line x = k divides the region R into two regions of equal area if the definite integral of R with respect to x from 0 to k is equal to the definite integral of R with respect to x from k to √6.
Letting k = x in the definite integral, we have:
∫[0,k] x/( [tex]x^{2}[/tex] + 2) dx = ∫[k,√6] x/( [tex]x^{2}[/tex] + 2) dx
(1/2) ln([tex]k^{2}[/tex] + 2) - (1/2) ln(2) = (1/2) ln(6 - [tex]k^{2}[/tex] ) - (1/2) ln(2)
Solving for k, we get:
ln( [tex]k^{2}[/tex] + 2) = ln(6 - [tex]k^{2}[/tex] )
[tex]k^{2}[/tex] + 2 = 6 - [tex]k^{2}[/tex]
2 [tex]k^{2}[/tex] = 4
k = ±√2
Since k must be in the first quadrant, k = √2.
So, the line x = √2 divides the region R into two regions of equal area.
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You are a brick mason and get paid 15$ an hour. You worked 36 hours last week. The taxes paid from your paycheck were $37.80 and $59.40. Calculate your final paycheck
Answer: the answer is $442.80
Answer:
442.80
Step-by-step explanation:
You would first multiply 15 by 36 to get a product of 540. Then you would subtract $540 by $37.80 and $59.40 to get a difference of 442.80
15x36 =540
540 - 37.80 - 59.40 = $442.80
Let ak =2ak-1 + 3^k with the starting value a1 = 5. What is the solution of this recurrence relation?
(a) It has no solution.
(b) ak = (2^k-1) + 3^k
(c) ak = (3^k+1) + 2^k +1
(d) ak = 2(k -1) + 3^k
(e) ak = 2(k - 1) + 3k
The solution to the given recurrence relation is (c): ak = (3^k + 1) + 2^k + 1
The solution of the given recurrence relation can be found by substitution. We can substitute the given formula for ak into the equation for a_(k+1) and see if the two are equal. If they are equal, then we have the solution.
Starting with the equation for ak:
a_k = 2a_(k-1) + 3^k
Substituting the formula for ak-1:
a_k = 2(2a_(k-2) + 3^{k-1}) + 3^k
Expanding the right side:
a_k = 4 a_(k-2) + 2 * 3^{k-1} + 3^k
Continuing this process, we can see that the solution is:
a_k = 2^(k) a₀ + (2^{k-1} + 2^{k-2} + ... + 2^1) * 3^{k-1} + 3^k
Since the series 2^k-1 + 2^{k-1} + ... + 2^1 = 2^k - 1, we have:
a_k = 2^(k) a₀ + (2^k - 1) * 3^{k-1} + 3^k
Substituting the initial value a₀ = 5:
a_k = 2^(k) * 5 + (2^k - 1) * 3^{k-1} + 3^k
Simplifying:
a_k = 2^{k} (5 + 3^{k -1}) - 3^{k-1}(1 + 3)
a_k = 2^{k} (5 + 3^{k -1}) - 4* 3^{k-1}
a_k = 5* 2^{k} + 3^{k -1}( 2^{k} - 4)
So, the solution to the given recurrence relation is (c):
ak = (3^k + 1) + 2^k + 1
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Which of the following is a Linear Inequality in Two Variables?
A. 2x² + 3y ≥ 6
B. 3x + 6y ≤ 9
C. 7x + 2y = 8
D. 2x - 7 < 12
The linear inequality in two variables is 3x + 6y ≤ 9 . Option B
What is linear inequality?Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another
Inequalities are math expressions or statements that use the inequalities "less than or equal to", "greater than or equal to", "less than", "greater than", and "not equal to".
Linear expressions are math statements or expressions whose expressions of a degree 1 (Highest exponent).
Variables are mathematical symbol or term that represents the unknown values.
In the problem, the question asks for a linear inequality in two variables. As you can see, all of the choices are linear expressions. The only option that uses one of the inequality symbols and has two unknown variables is the third option. So, it's the option B.
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Type the probability notation for choosing a car or a truck.
Type the probability notation for choosing a plate and then a bowl.
Would the following group of probabilities be valid or not valid: 23%, 45%, 17%?
After her annual eye exam, Gianna will randomly select a pair of contacts from the basket containing 5 brown pair, 7 green pair, and 4 blue pair of colored contacts.
What is the probability that Gianna will randomly select a brown pair or a green pair?
The probability of choosing a car or a truck is P(Car) + P(Truck).
What is the probability that Gianna will randomly select a brown pair or a green pair?Valid.The probability of choosing a plate and then a bowl is P(Plate) x P(Bowl).Yes, the group of probabilities is valid.The probability of Gianna randomly selecting a brown pair or a green pair is P(Brown) + P(Green) = 5/16 + 7/16 = 12/16 = 3/4.The probability that Gianna will randomly select a brown pair or a green pair is 12/16, or 75%.This probability is an example of a compound probability, which is the probability of two or more events occurring at the same time.Compound probabilities are calculated by multiplying each individual probability together to get the total probability of all events occurring.For example, in this case, the probability of selecting a brown pair is 5/16 and the probability of selecting a green pair is 7/16.When these two values are multiplied together, the probability of selecting a brown pair or a green pair is 75%.To learn more about Compound probabilities refer to:
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