a conditional expression is essential in recursive algorithms to control the termination of recursion and ensure the algorithm converges to a solution.
Recursive algorithms are designed to solve problems by breaking them down into smaller, simpler subproblems and repeatedly applying the same algorithm to those subproblems. However, without a conditional expression to define a termination condition, the algorithm would continue to make recursive calls indefinitely, resulting in an infinite loop and eventually running out of resources.
The conditional expression serves as the stopping criterion for the recursion. It typically checks if a certain condition is met, indicating that the base case has been reached or that further recursion is no longer needed. When the condition evaluates to true, the recursion stops, and the algorithm returns a result or performs a final computation.
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Simplify each of the following.
7^2 x 7^3
9514 1404 393
Answer:
7^5 = 16,807
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
Here, we have a=7, b=2, c=3, so ...
(7^2)(7^3) = 7^(2+3) = 7^5 = 16,807
A number, n, decreased by 5, is equal to 3 times the number plus 1. Determine the number.
Answer:
-3
Step-by-step explanation:
A number, n, decreased by 5: n - 5
3 times the number +1 = 3*n + 1 = 3n + 1
3n +1 = n -5
Subtract 1 from both sides
3n = n - 5 - 1
3n = n - 6
Subtract 'n' from both sides
3n - n = -6
2n = -6 {Divide both sides by 2}
n = -6/2
n = -3
The number = - 3
A certain population is initially 8,951 but declines by 8% every second. Find an exponential formula that gives the population as a function of time. What will be the population after half of a minute?
9514 1404 393
Answer:
734
Step-by-step explanation:
The growth factor is 1 -8% = 0.92. This is the base of the exponential formula. The multiplier is the initial value, so you have ...
p = 8951×0.92^t
When t=30, this evaluates to ...
p = 8951×0.92^30 ≈ 733.68
The population after half a minute will be about 734.
how long is a 75% of a 24 hour day
Answer:
18 hours
Step-by-step explanation:
because 6 x 3 = 18!
Find the median:51,53,49,51,53,50,54,56
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
49, 50, 51, 51, 53, 53, 54, 56
the middle are (51,53) and when u have 2 numbers in the middle u add them up and divide by two which gives us 52:)
A game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice
of 100, and then again randomly, picking a ball (red or black) from it.
Each bag has the same total number of balls (10).
Bag options
Ball options
a) Complete the tree diagram.
0.6 Red
b) Work out the probability that a player
will select a red ball.
0.4 -Black
0.35
0.2
Red
0.45
2.
0.8
Black
c) The same player is going to play the
game 200 times consecutively.
How many black balls should he
expect to pick?
0.7
Red
3
0.3
Black
Answer:
A=0.2
b=0.2 x 0.7=0.14
0.45 x 0.2=0.09
0.44
c=112
Step-by-step explanation:
Help I will be marking brainliest!!!!
A. 55.33
B. 156.16
C. 72
D. 61.16
Answer:
do RN/RM first which will be 95/73 which is 1.30 and use this to multiply 47 which is 47*1.3 61.1
ANSWER = D.
I first got the variable of 1.3 which is multiply that by RM to get RN and then useing that logic you multiply 1.3 by MP to get QN
MARK ME BRAINLIEST
a. On the map of Arkansas shown, find the actual distance between Clarksville and Little Rock. Use a ruler to measure.
Answer:
1cm/20mi = 4cm/x
1x = 80
x = 80
The answer is 80 miles
What is the volume of the following rectangular prism pls pls pls pls pls pls pls pls p
Answer:
Step-by-step explanation:
V = l * w * h
l = 2
h = 2
w = 7/3
Volume = 2 * 2 * 7/3 = 28/3 = 9 1/3 or 9.3333
Jacob has $100 in his savings account. The interest rate is 5% per year. How much interest will he earn in 1 year?
Please hellppp meeeee
Answer:
Slope = -1
Explanation:
Basically, your rise will be going 1 box up (an arrow upwards) and your run would be 1 box to the left (an arrow to the left). This will give you :-
1/-1 = -1
Hope this helps, thank you :) !!
Answer:
-4/3
Step-by-step explanation:
Please help, I have ask it 5 times. Please.
Answer:
Pair 1: GM and LJ
Pair 2:HI and LM
Step-by-step explanation:
The markings on the line show which lines are congruent to each other. This means that line HI and ML are congruent because they have similar markings. And you could say the same for line JL and MG because it has 2 lines that mark it as congruent to eachother.
So basically your answers are GM and LJ as one pair and HI and LM as another
At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is height in feet and 't' is time in seconds. Height of the clown
Answer:
t = 3.11 seconds
Step-by-step explanation:
Given that,
At the circus, a clown is shot from a cannon. This situation can be modeled by the function :
[tex]h = -16t^2 + 45t + 15[/tex]
Where
'h' is height in feet and 't' is time in seconds
We need to find how long did it take for the clown to reach his highest point. It can be calculated as follows :
[tex]-16t^2 + 45t + 15=0[/tex]
We need to solve for t. It can be calculated as follows :
[tex]t=\dfrac{-45\pm \sqrt{45^2-4(-16)(15)} }{2(-16)}\\\\t=-0.301\ \text{and}\ 3.11\ s[/tex]
So, the required time is 3.11 seconds.
Write 6 ,7,8,9 or 10 and 12
Answer:
9
Step-by-step explanation:
Draw a rhombus with diagonals 4 and 6. What is the area of the rhombus?
first of all you have to draw a rhombus
area (d+d)/2
(4+6)/2
5
Which decimal is largest?
0.49
0.45
0.48
Answer:
0.49
Step-by-step explanation:
Answer:
0.49
Step-by-step explanation:
its 0.01 larger than 0.48
its 0.04 larger than 0.45
There are two right angle triangles, triangle ABC and Triangle EDF. Measure of angle ACB and angle EFD are 90. Side AB is congruent to side ED, Side AC is congruent to side DF. What theorem can be used to show that ABC ≅ DEF?
Answer:
SAS theorem
Step-by-step explanation:
Given
Triangles ABC and DEF
[tex]AB = ED[/tex]
[tex]AC = DF[/tex]
[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex]
Required
Which theorem shows the similarity between both triangles
The following can be deduced from the given parameters.
[tex]AB = ED[/tex] ===> Equal Sides
[tex]AC = DF[/tex] ===> Equal Sides
[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex] ===> Equal Angle
This implies that two sides and 1 angle of both triangles are equal.
Hence, the theorem to use is the SAS theorem.
Of the following test scores, who do you think received the best score? The worst score? Why?
Carla : 3 out of 5
Desmond: 20 out of 25
Ignacio: 6.5 out of 10
Gina: 38 out of 50
Answer:
Desmond
Step-by-step explanation:
3 over 5 x 100% = 60%
20 over 25 x 100% = 80%
6.5 over 10 x 100% = 65%
38 over 50 x 100% = 76%
Can someone help me please
Answer:
625
Step-by-step explanation:
Kamila buys a notebook for $1.59 and pens for $0.29 each. She spends $5.07.
Define a variable that can be used to determine how many pens she bought.
Write an equation using the variable and solve to determine how many pens she bought.
Answer:
12 pens
Step-by-step explanation:
Let the variable that can be used to determine the number of pens that Kamila bought be represented by n.
Price of a notebook = $1.59
Price a pen = $0.29
Total amount spent = $5.07
But,
1.59 + 0.29 n = 5.07
So that,
0.29 n = 5.07 - 1.59
0.29 n = 3.48
n = [tex]\frac{3.48}{0.29}[/tex]
= 12
Therefore, Kamila bought 12 pens.
While eating lunch, Douglas noticed that 15 students chose to eat chicken and 19 chose to eat pizza. What is the ratio of students in his class who chose to eat chicken to the total number of students?
Which equation would you use to solve this problem: Laura bought 4 1/3 bushels of apples for $16. How much did each bushel cost? *
Answer: $3.69
Step-by-step explanation:
Laura bought 4 1/3 bushels of apples.
Firs convert this to an improper fraction for easier calculation:
= 13/3 bushels of apples.
If cost $16 altogether, individually they must cost:
= Cost / Quantity purchased
= 16 ÷ 13/3
= 16 * 3/13
= $3.69
Note: You can divide by a fraction by multiplying the inverse of that fraction.
Can someone solve this please?
Answer: x = 1/2
Step-by-step explanation:
A line passes through point (-2, 5) and has a slope of 5/2.
Write an equation in Ax + By = C form for this line.
Use integers for A, B, and C.
Answer:
5x-2y=-20
Step-by-step explanation:
y-y1=m(x-x1)
y-5=5/2(x-(-2))
y-5=5/2(x+2)
y-5=5/2x+10/2
y-5=5/2x+5
y=5/2x+5+5
y=5/2x+10
y-5/2x=10
-5/2x+y=10
2(-5/2x+y)=2(10)
-10/2x+2y=20
-5x+2y=20
5x-2y=-20
A farmer has one square mile of land. If he divides his land into square fields that are 1/2 mile long and 1/2
[tex] \frac{1}{2} \times \frac{1}{2} [/tex]
wide, how many fields will he have?
Answer:
1/4
Step-by-step explanation:
Vertical angles are a pair of opposite angles made by two intersecting lines and the angles are _________. *
2 points
Equal to each other
Equal to 90°
Equal to 180°
Equal to 360°
Answer:
[tex] \boxed{ \large{ \underline{\tt{Equal \: to \: each \: other}}}}[/tex]
Step-by-step explanation:
When two lines interesect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ V.O.A ] are always equal to each other.
Refer to the attachment! In the given figure , [tex] \angle[/tex] p and [tex] \angle[/tex] s are opposite to [tex] \angle[/tex]r and [tex] \angle[/tex]q respectively. Therefore [tex] \angle[/tex]p and [tex] \angle[/tex]r are vertical angles. Similarly , [tex] \angle[/tex]s and [tex] \angle[/tex]q are also vertical angles.
Hence , Our final answer : Vertical angles are a pair of opposite angles made by two intersecting lines and the angles are equal to each other .
Hope I helped ! ツ
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2. A bacteria population is modeled by the equation p(n)= 10,000.2", where h is the number of hours since
the population was measured.
About how long will it take for the population to reach 100,000?
Answer: its 3 the answer is 3
Step-by-step explanation:
Helppp plssss this is due soooon
Triangle A'B'C' is the image of triangle ABC after a sequence of rigid motions,
Answer:
The sequence are:
i. reflection about the y-axis
ii. 2 units translation downwards
iii. 1 unit translation to the right
Step-by-step explanation:
Rigid transformation is a process of producing the image of a given figure or shape by either reflection, rotation, dilation or translation method. Thus the orientation and size of the figure changes with respect tot the method applied.
For the given question, some sequence were applied to produce the image of ABC.
The sequence are:
i. reflection about the y-axis
ii. 2 units translation downwards
iii. a unit translation to the right
Kelsey put 6 gallons of water in the cooler. How many 1-pint water bottles can be filled from the water in the cooler?
Answer:
48 pints
Step-by-step explanation:
1 gal=8 pints
Hope this helps