Give a recursive algorithm for computing 32n, where n is a nonnegative integer. OA
A. procedure x (n nonnegative integer) ifn = 0 then return 3 else return x(n + 1) * x(n + 1)
B. procedure X (n nonnegative integer) ifn = 0 then return 3 else return x(n - 2) * x(n - 1)
C. procedure X (n nonnegative integer) ifn = 0 then return 3 else return x(n + 1) * x(n - 1)
D. procedure X (n nonnegative integer) ifn = 0 then return 3 else return x(n - 1) x(n - 1)
Answers
The correct recursive algorithm for computing 32n, where n is a nonnegative integer, is option A, which is: procedure x (n nonnegative integer) ifn = 0 then return 3 else return x(n + 1) * x(n + 1).
The algorithm in option A uses recursion to compute 32n by repeatedly squaring 32. If n equals zero, the algorithm returns 3 as the base case. Otherwise, the algorithm calls itself with n+1 as the argument, and squares the result. This process continues until the base case is reached.
For example, to compute 32^3 using this algorithm, we start with n=3, which is not equal to zero, so we call the algorithm with n+1=4. The algorithm then calls itself with n+1=5, and so on, until it reaches the base case when n=0, at which point it returns 3. Then, the algorithm works its way back up, squaring the results as it goes, until it finally computes 32^3.
Therefore, the correct answer is A.
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Related Questions
the correlation between a person’s hair length and their score on an exam is nearly zero. if your friend just shaved his head, your best guess of what he scored on the exam is the
Answers
The average score provides a general benchmark that represents the overall performance of the exam takers as a whole, independent of their hair length or any other unrelated characteristics.
The correlation between a person's hair length and their score on the exam being nearly zero indicates that there is no significant relationship between these two variables. Therefore, when your friend shaves his head, it does not provide any specific information about his exam score. In such a scenario, the best guess of what he scored on the exam would be the average score of all exam takers.
Hair length and exam performance are unrelated factors, and the absence of correlation suggests that hair length does not serve as a reliable predictor of exam scores. The nearly zero correlation indicates that the two variables do not exhibit a consistent pattern or trend. Consequently, shaving one's head does not offer any insight into their exam performance.
In the absence of any other information or factors that could help estimate your friend's score, resorting to the average score of all exam takers becomes the best guess. The average score provides a general benchmark that represents the overall performance of the exam takers as a whole, independent of their hair length or any other unrelated characteristics.
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in solving systems of equations using elimination, what would be the easiest first step for this system?
Answers
The answer will be option will be Option(d) i.e, Multiplying one of the negative sign to cancel out the y variable.
Define Linear equation
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
As the equation given,
5x + 2y = 6
9x + 2y = 22
As in this given equation, we don't need to multiply the coefficient of 'x' and then change the sign. Because if in the two equation the any variable coefficient is same then no need to do that multiplying step.
So, here the coefficient of y is 2 and same in both the equation so we can easily change the sign and cancel out the y and find x and then y values.
Like this,
5x + 2y = 6
9x + 2y = 22
- - -
-------------------
-4x = -16
x = 4
and, for y
5 * 4 + 2y = 6
20 + 2y = 6
2y = - 14
y = -7
Hence, the answer will be option will be Option(d) i.e, Multiplying one of the negative sign to cancel out the y variable.
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⚠️PLEASE HELP DUE SOON⚠️
if y=2x-3/3, then x=?
Answers
Answer:
Now, find the point where these two lines meet—that is the point with ... We just used them to help us locate the point \left(1,3\right) . ... Since x=2 , the point is to the right of the y-axis. Since y=-3 , the point is below the x-axis. ... Can you tell just by looking at the coordinates in which quadrant the point \left(-2 ... \left(3,-3\right)
Answer:
x = y/2+1/2
Step-by-step explanation:
Simplify the equation, leaving X on one side, giving you x=y/2+1/2.
High clouds are those that form at altitudes of at least:
65,617 ft (20,000 m).
32,800 ft (10,000 m).
6500 ft (2000 m).
20,000 ft (6000 m).
Answers
High clouds are those that form at altitudes of at least 20,000 ft (6000 m).
At high altitudes, ice crystals form due to which cloud formation occurs. Cirrus, cirrostratus, and cirrocumulus clouds are a few types of clouds. Cirrostratus clouds frequently form a thin, white layer that resembles a veil and covers the entire sky. Small, spherical, white clouds called cirrocumulus develop in long rows. Because they can provide information about changes in atmospheric pressure, temperature, and moisture levels in the upper atmosphere, these high clouds are crucial for meteorologists to investigate.
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Using half adders and full adders, develop a circuit to add two four bit
numbers. X3X2X1X0+ Y3Y2Y1Yo= Z3Z2Z1Z0 Don't forget the carry bit on the Most Significant Digit
Answers
The following circuit can be used to add two 4-bit numbers using half-adders and full-adders:
1. Start by constructing a half-adder, which consists of an XOR gate and an AND gate. The inputs to the half-adder are the two bits to be added.
2. Connect two half-adders and an OR gate to create a full-adder. The inputs to the full-adder are the two bits being added and a carry-in bit. The outputs of the full-adder are the sum and a carry-out bit.
3. Repeat the process to connect four full-adders together, utilizing the carry-out bit from the previous full-adder as the carry-in bit for the next full-adder.
4. To add two 4-bit numbers X3X2X1X0 and Y3Y2Y1Y0, connect each corresponding bit from X and Y to a separate full-adder. The carry-in bit for the first full-adder is set to 0.
5. The carry-out bit from the 4-bit adder represents the carry bit for the Most Significant Digit (MSD).
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A fair 6-sided die is rolled 300 times. What is a reasonable prediction for the number of times the event of landing on an odd number will occur?
A. 150
B. 50
C. 175
D. 100
Answers
Answer:
A. 150
Step-by-step explanation:
Calculate the probability of landing on an odd number: 1/2.
Multiply the probability by the number of trials: (1/2) * 300.
Simplify the expression: 150.
Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.
what is the area of a rectangle that has a width of a triangle that has a height of 14 inches and a base of 2 feet
Answers
Answer:
28?
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
1. - 2а - 9 = 6a + 15
Answers
Answer:
-2a-6a=15+9
-8a=24
a=24/-8
a=-3
Answer:
a=-3
Step-by-step explanation:
-2a-6a=15+9
-8a=24
a=-3
round 8,272 to the nearest thousand
Answers
Answer:
8000
Step-by-step explanation:
Answer: Therefore, the number 8272 rounded to the nearest thousand is 8000
Step-by-step explanation:
SORRY THAT ITS UPSIDE DOWN BUT CAN YALL DO THIS FOR ME ITS DUE IN A HOUR
Answers
Answer: y=-6
Step-by-step explanation: I tried a few combinations and the distance was 17 if y=-6
Do the sum of 12 and the difference of 5 have any number pairs that satisfy both constraints?
Answers
Answer:
That question doesn't make sense.
Step-by-step explanation:
What is another way to express that question?
g/(g ^ 2 + 4g) - g/((g + 4) ^ 2) =?
Simplify.
Answers
Answer:
\( \frac{4}{(g + 4) ^{2} }\)
Step-by-step explanation:
Factor the expressions that are not already factored in g/g² + 4g.\( \frac{g}{g(g + 4)} - \frac{g}{(g + 4) ^{2} } \)
Cancel out g in both numerator and denominator.\( \frac{1}{g + 4} - \frac{g}{(g + 4) ^{2} } \)
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of g+4 and (g+4)² is (g+4)². Multiply 1/g + 4 times g + 4/g + 4.\( \frac{g + 4}{(g + 4) ^{2} } - \frac{g}{(g + 4) ^{2} } \)
Since g + 4/(g + 4)² and g/( g + 4)⁴ have the same denominator, subtract them by subtracting their numerators.\( \frac{g + 4 - g}{(g + 4) ^{2} } \)
Combine like terms in g+4−g.\( \frac{4}{(g + 4) ^{2} } \)
Expand (g + 4)².\( \frac{4}{g^{2} + 8g + 16 } \)
Hope It's Help
Rationalizing the Denominator
What is the simplest form of
X^4 y^7 divided
3 square root x^10 y^4
Answers
The rationalizing of denominator using laws of exponents gives; y⁵∛x²y²
How to rationalize the denominator?The point of rationalizing a denominator is to make it easier to understand what the quantity really is by removing radicals from the denominators.
We are given the expression;
x⁴y⁷/∛(x¹⁰ y⁴)
Power to a power in exponents means we multiply and as such we have;
x⁴y⁷/(x^(10*1/3)y^(4*1/3)
= x⁴y⁷/ (x^(10/3)y^(4/3)
Exponents divided by exponents means we subtract the exponents;
x^(4 - ¹⁰/₃) y^(7 - ⁴/₃)
= x^(¹²/₃ - ¹⁰/₃) y^(²¹/₃ - ⁴/₃)
= x^(2/3) * y^(17/3)
= x^(2/3) * y^ (5²/₃)
= x^(2/3) y^(5 + ²/₃)
Exponents added are the terms multiplied;
(x^²/₃ * y^5 * y^²/₃)
= y^ 5 (x^ 2/3 y ^ 2/3)
= y⁵∛x²y²
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help with practice problem
Answers
Answer:
i think the answer is r=0.5 or r=−3/2−x^2
Step-by-step explanation:
-4r^2-4r=6
step 1. -4r(-4r)= 16r
16r-4r=6
step 2. 16r-4r=12r
12r=6
step 3. /12 on both sides
r= 0.5
4 2
4.
) 1
NAN
-9
Write the algebraic expressions.
The sum of x and y.
5 times a is added to b.
The sum of numbers x and yis multiplied by 3.
6 is added to the number b.
b and 4ab are the ........... term. (like/unlike)
Answers
Answer:
The sum of x and y: x+y
5 times a is added to b: 5a+b
The sum of x and y is multiplied by 3: 3(x+y)
6 is added to the number b: 6+b or b+6
b and 4ab are unlike terms.
Step-by-step explanation:
Hope this helps!
The sum of x and y means you have to add x+y. Also, sum is the answer to an addition problem. So, if you add x+y, you would get the sum.
5 times a is added to b means 5 times a or 5a, and once you have the product, you add it to b, so 5a+b.
The sum of numbers x and y is multiplied by 3 You have the sum of x and y which is x+y, then you multiply it by 3. So, you can write it as 3 times the sum of x+y, so 3(x+y).
When you are adding, you use the addition sign.
you are adding 6 to b, so b+6.
b and 4ab are unlike terms because they both don't the same two letters. Yes, they share the letter b, but they don't share the letter a, so ther are unlike terms.
Can I get some help ill make you brainlist and ill give 100 points
Answers
Answer:
the first one is 65 degrees i think
Step-by-step explanation:
Answer:
I HAVE NO IDEA
Step-by-step explanation:
Please give me brainliest im determine i really
have only been picked one time and please give me brainliest i really need it im sorry i didnthelp but im litterly crying right now please please please give me brainliest
angle a is supplementary to angle b. angle b is complementary to angle c . from this what can we conclude
Answers
Answer:
Angle A is larger than angle C
Step-by-step explanation:
The reason for this is a visual concept. Since A is supplementary to angle B, then A is a greater measure than B, making B complimentary. B is complementary to Angle C making B the smallest angle, C the "medium angle" and A the largest angle. From this however, we can conclude angle A is larger than angle C.
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary. 10 mi. 4 mi. Surface Area: mi2
Answers
The final answer is
\(351.9mi^2\text{ (to the nearest tenth)}\)what does 7 of one third + 2 and two thirds =
Answers
A grandfather is ten times older than his granddaughter. He is also 54 years older than
her. How old is each of them?
Answers
Granddaughter = 6
Answer:
The present ages of the granddaughter and grandfather are 6 and 60 years.
Step-by-step explanation:
Let the present age of granddaughter be x years.
So, the present age of grandfather is 10x years.
According to the given condition, we have
10 x = 54 + x
9 x = 54
x = 6
10 x = 60
age of grandfather is 60
age of granddaughter is 6
Hence, the present age of granddaughter is 6 years and that of grandfather is 60 years.
(hope this helps can I pls have brainlist (crown)☺️)
Solve the equation below.
3(17x – 6.5) = 108
Answers
Answer:
x=2.5
Step-by-step explanation:
3(17x – 6.5) = 108
Divide each side by 3
3/3(17x – 6.5) = 108/3
17x - 6.5 =36
Add 6.5 to each side
17x -6.5+6.5=36+6.5
17x = 42.5
Divide each side by 17
17x/17 = 42.5/17
x = 2.5
WILL MARK BRAINLIEST IF RIGHT!
If quadrilateral ABCD rotates 90° counterclockwise about the origin, what are the coordinates of A′ in quadrilateral A′B′C′D′ ?
A. (2, 1)
B. (-2, -1)
C. (-2, -2)
D. (-2, 0)
Answers
Answer:
B. (-2, -1)
Step-by-step explanation:
Step-by-step explanation:
Answer option B - ( -2, -1)
at the water treatment plant, a half empty tank is being filled with waste water at a rate of 850 gallons per minute. After 15 minutes the tank has 35,000 gallons of waste water. Write an equation in standard form that relates the amount of waste water in the tank, y , to the number of minutes, x, that the tank has been filling
Answers
Answer:
850x = y
Step-by-step explanation:
The equation 4x2 8x 15 = 0 is being rewritten in vertex form. fill in the missing step. given 4x2 8x 15 = 0 step 1 4(x2 2x ___) 15 ___ = 0 step 2 ✔ step 3 4(x 1)2 11 = 0 4(x2 2x 1) 15 − 4 = 0 4(x2 2x 1) 15 − 1 = 0 4(x2 2x 2) 15 − 2 = 0 4(x2 2x 4) 15 − 4 = 0
Answers
Answer:
a) is the correct answer
The inverse of a function can be found by ___ the numbers in each ordered pair of the function.
Answers
The inverse of a function can be found by swapping the numbers in each ordered pair of the function.
When you have a function with ordered pairs, the inverse of that function can be found by reversing the order of the numbers within each pair. In other words, if you have a function f(x) with ordered pairs (a, b), the inverse function, f^ (-1) (x), will have ordered pairs (b, a). This process essentially switches the input and output values of the original function.
To find the inverse of a function, simply swap the numbers in each ordered pair, resulting in the ordered pairs for the inverse function.
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Kim needs 10 cups of apple juice for a recipe. How many quarts does she need? 2 cups (c) =1 pint (pt) 2 pt =1 quart (qt) 4 qt =1 gallon (gal)
Answers
Answer: 2 quarts 1 pint
Step-by-step explanation: Kim needs 10 cups of apple juice 2 cups are 1 pint so that makes it already 5 pints so now we need to turn the 5 pints into quarts so 2 quarts is what we have but we have some left over we have 1 pint left so we have 2 quarts and 1 pint, we could always convert the pint into a fraction depends on how or what way your teacher wants it wrote
A big league pitching coach tries to limit his pitchers to 110 pitches per game. If the pitcher has
already thrown 52 pitches, write and solve an inequality to find how many more pitches he can
throw before reaching the limit.*
Type your inequality AND your answer as a sentence.
Answers
The pitcher can throw 58 until he reaches the limit, hopefully I helped :)
In a video game, players form teams and work together to
earn as many points as possible for their team.
- Each team can have between 2 and 4 players.
- Each player can score up to 20 points in each round of
the game.
Han and three of his friends decided to form a team and
play a round.
Write an expression, an equation, or an inequality for the
possible number of players in a game with eight teams (let
T represent the total number of players in a game).
Answers
Answer:
An equation that represents the total number of players in a game with eight teams, where each team can have between 2 and 4 players, is T = 8 * 2 = <<8*2=16>>16 players.
Step-by-step explanation:
In this equation, T represents the total number of players in a game, and the number 8 represents the number of teams in the game. Since each team can have between 2 and 4 players, the minimum number of players in a game with eight teams is 8 * 2 = 16 players. This is the minimum number of players that would be required if each team had exactly two players.
Therefore, the equation T = 16 represents the possible number of players in a game with eight teams, where each team can have between 2 and 4 players. This equation shows that the total number of players in the game must be equal to 16 in order for there to be eight teams, each with between 2 and 4 players.
I really need help Please
What decimal times 10 can give me 20
Incorrect answer 2.0
Please help
Answers
Answer:
0.2?
Step-by-step explanation:
Factor this expression completely. 17x − 51y − 17 A) −17(x − 3y − 1) B) 17(x − 3y + 1) C) 17(x − 3y − 1) D) 17(x − 3y − 2)