File name: “TestClass.java” import java.util.Scanner; public class TestClass {
What is recursion?A recursive function is one that generates a series of terms by iterating over or using its foregoing terms as input. This function is typically understood in terms of an arithmetic-geometric series with terms that share similar differences.
File name: “TestClass.java”
import java.util.Scanner;
public class TestClass {
//Define main() method
public static void main(String[] args) {
// Construct a Scanner object
Scanner scr = new Scanner(System.in);
//Ask the user to enter a decimal number
System.out.print("Enter a decimal number: ");
//Get the decimal number from the user
int decinum = scr.nextInt();
// Display the binary number
System.out.println("The binary equivalent of the decimal value"
+ decinum + " is " + dec2Bin(decinum));
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Simplify the expression 10^log5
Answer:
5
Step-by-step explanation:
The logarithm function, denoted as "log," is the inverse of the exponentiation function. This means that if we have the expression "log(x) = y," then "x" is the base "b" raised to the power "y." In other words, "x" is equal to "b^y."
Using this definition, we can simplify the expression "10^log5" as follows:
10^log5 = 10^y
Where "y" is the exponent to which the base "10" must be raised to produce the result "5."
To find the value of "y," we can use the property of logarithms that states "log(b^y) = y." Applying this property to our expression, we have:
log(10^y) = y
Since "10^y" is equal to "5," we can substitute "5" for "10^y" in the above equation:
log(5) = y
Solving for "y," we find that "y = log(5)."
Therefore, the expression "10^log5" can be simplified to:
10^log(5) = 10^(log(5)) = 5
So the simplified result is 5.
Noah is baking cookies. the recipe he is using makes 48 cookies and uses 1/4 cup of sugar. How much sugar will Noah need to make 72 cookies?
Answer: Approx. 0.375 cups of sugar
Step-by-step explanation:
1/4=0.25
0.25 cups of sugar per 48 cookies = 0.25/48= (about) 0.00520833333 per cookie
0.00520833333 cups of sugar x 72 cookes= 0.375 cups of sugar for 72 cookies
simplify (6^7)^3
A. 6^21
B. 42^3
C. 6^10
D. (1/6)^21
Answer:
Step-by-step explanation:
its c
A chemist is investigating a new reaction to synthesize barite crystals. She finds that eight grams are synthesized every five minutes. If there are 111 grams of barite after an hour, how many grams of barite did the chemist start with?
possiable answers
0
8
15
71
Answer:
The answer is 71
What is chemist?
A chemist is a person who specializes in the science of chemistry, which is the study of matter and its properties, structure, composition, behavior, and the changes it undergoes. Chemists are trained in the scientific discipline of chemistry and use their knowledge to study and manipulate matter. This can include anything from the analysis of materials for their chemical makeup, to the development of new products and processes. Chemists can work in a variety of fields, including pharmaceuticals, materials science, biochemistry, research and development, and more. They must be well-versed in the principles and theories of chemistry, as well as in the practical aspects of their work. Through their work, chemists contribute to the advancement and application of science.
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Answer: the answer is 15
Step-by-step explanation:
which statement about the parallelogram is true
Answer:
All parallelograms have opposite sides that are parallel.
Step-by-step explanation:
A parallelogram is a non-self-intersecting quadrilateral with two pairs of parallel sides.
One group of carolers goes to every 6th house in a neighborhood, another goes to every 8th house. At which house will they first meet?
The house that they will first meet if a group of carolers goes to every 6th house in a neighborhood, another goes to every 8th house is the 24th house.
How to calculate the multiple?The smallest positive integer that is divisible by both a and b is known as the least common multiple, lowest common multiple, or smallest common multiple of two integers, or lcm(a, b), in mathematics and number theory. Since the result of dividing an integer by zero is undefinable, this definition only applies if both a and b are not equal to zero.
Before fractions can be added, subtracted, or compared, the "lowest common denominator" can be employed.
From the information, a group of carolers goes to every 6th house in a neighborhood, another goes to every 8th house.
It should be noted that this will be illustrated through tye lowest common multiple.
Multiples of 6 = 6, 12, 18, 24
Multiples of 8 = 8, 16, 24
Therefore, they'll meet at the 24th house.
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Find the values of x and z !!
The value of x and z are [tex]4^\circ, 96^\circ[/tex].
Now from the picture I can say that, [tex]\angleAOB[/tex][tex]\angle AOB[/tex] and [tex]\angleCOD[/tex][tex]\angle COD[/tex] are opposite angles.
We know the measure of the triangle are equal in Pair.
So we have got the equation as -
[tex]10x+44=13x+32[/tex]
⇒[tex]13x-10x=44-32[/tex]
⇒3x=12
⇒x=4.
We have got that the measure of [tex]\angle AOB, \angle COD[/tex] are both [tex]84^\circ[/tex].
Now angles around a point add to [tex]360^\circ[/tex].
So, [tex]\angle AOD[/tex] and [tex]\angle BOC[/tex] are equal since they are pairwaite wisw.
Now, [tex]z+z= 360^\circ - (84^\circ+84^\circ)[/tex]
⇒[tex]2z=192^\circ[/tex]
⇒ [tex]z=96^\circ[/tex],
Hence we have got the value of x and z i.e. 4 and 96.
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Evaluate. Remember Order of
Operations! (PEMDAS)
8 x 3²- (14+ 6) = [?]
Answer:
52
Step-by-step explanation:
Order of Operations says to do Parenthesis first, then exponents.
8 x 3²- (14+ 6)
= 8 x 3²- (20)
= 8 × 9 - 20
Then multiply before subtracting in this question.
= 72 - 20
= 52
Help me answer this question for a 10 on my homework
Answer:
1. 4
2. rise = 2; run = 1; slope = 2
3. y = 2x + 4
Step-by-step explanation:
1. Look at the graph. On the y-axis, the line passes through 4. The line crosses the y-axis at 4, so 4 is the y-intercept, and b = 4 in the equation y = mx + b.
2. Choose any two points on the line. I choose the y-intercept, (0, 4) and point (-1, 2).
slope = rise/run
We need to go from point (-1, 2) to point (0, 4) by only moving vertically and horizontally. Start at (-1, 2). Go up 2 units. That is a ris of 2. Now go right 1 unit to arrive at point (0, 4). that is a run of 1.
slope = rise/run = 2
3. We have b = 4, and m = 2.
y = mx + b
y = 2x + 4
A sum of RS 140 is divided into two parts. If two times the greater part is 15 less than three times the smaller part . Find the parts of the sum
Answer:
greater part = Rs.81
smaller part = Rs.59
Step-by-step explanation:
Solution:
Let the greater part be x and smaller part be (140 - x)
Acccording to question,
or, 2x+15 = 3(140 - x)
or, 2x+15 = 420-3x
or, 2x+3x = 420-15
or, 5x = 405
or, x = 405÷5
x = 81
Therefore, the greater part = x = 81
the smaller part = (140-x) =(140-81) = 59
an expert archer hits a bullseye 89% of the time. if she shoots 15 shots in a row, what is the probability she hits at least 13 bullseye\
Using the formula for binomial probability distribution and the provided values, The answer is 0.775 .
What do you mean by probability distribution?A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.
What is binomial distribution and it's formula?The discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success (p) and fail—is known as the binomial distribution with parameters n and p in probability theory and statistics (1-p).
It's formula is:
[tex]P(x) = C(n,x)*p^{x}*q^{n-x}[/tex]
p = 0.89
q= 1-p = 0.11
n=15
P(x>=13) = P(13)+P(14)+P(15)
=0.279+0.322+0.174
=0.775
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in how many ways can four people line up in a straight line if the youngest person cannot be first in line?
Total number of ways four people line up in the straight line with the given condition is equal to 18 ways.
As given in the question,
Total number of people = 4
Given condition :
First position can not occupied by youngest person:
First position occupied in 3 ways
Second position occupied in 3 ways
Third position occupied in 2 ways
fourth position occupied in 1 ways
Total number of ways = 3 × 3 × 2 × 1
= 18 ways
Therefore, the number of ways four people stand in straight line is equal to 18 ways.
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what is the probability of rolling a six sided die six times and having all numbers from 1 through 6 appear once in any order?
The final answer is that the probability of rolling a six sided die six times and having all numbers from 1 through 6 appear once in any order is 1.54.
This is calculated by probability of independent events.
We know that any die can get any of the six sides and all the throws are independent, so their intersection is given by the product.
So, P(A and B occurring together )= P(A)P(B) if A and B are independent.
And the probability of the throws i.e. the no. of ways every throw gets a unique number is (6/6) x (5/6) x (4/6) x (3/6) x (2/6) x (1/6)
This is because, being the probability of independent events , they are multiplied.
so, the total probability is 6.5.4.3.2.1/6^6 = 1.54
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Laura is going to tile her dining room floor. The room is in the shape of a rectangle, and the dimensions are 18 feet by 12 feet. The tile she wants to use costs $9 per square foot. How much will the tile cost for the dining room floor?
Answer:
$1944
Step-by-step explanation:
18x12=216
216x$9=$1944
Answer:
£1944
Step-by-step explanation:
The area of the floor is 216 feet²
18 x 12 = 216
216 x 9 = 1944
Sandy uses three and one half pounds of clay to make 7 small vases. Use a proportion to find how many pounds of clay she will use to make 21 small vases.
7 and one fourth pounds
8 and one half pounds
10 and one half pounds
14 and one fourth pounds
The number of pounds of clay used to make 21 small vases is 10 and one half pounds.
How to find the number of pounds of clay used to make vases?Sandy uses three and one half pounds of clay to make 7 small vases. Using proportion, the number of pounds of clay that she can use to make 21 small vases can be calculated as follows;
Therefore,
7 small vases = 3 1 / 2 pounds of clay(7 / 2)
21 small vases = ?
cross multiply
pounds of clay used to make 21 small vases = 7 / 2 × 21 ÷ 7
pounds of clay used to make 21 small vases = 147 / 2 ÷ 7
pounds of clay used to make 21 small vases = 147 / 2 × 1 / 7
pounds of clay used to make 21 small vases = 21 / 2
Therefore,
pounds of clay used to make 21 small vases = 10 1 / 2
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Angie is determining the volume of a box in the shape of a rectangular prism. She finds the length is 2cm more than the width and 3 cm less than the depth. Which equation can Angie use to get the volume of the box, in cubic centimeters?
A. V = w(w+2)(w+3)
B. V = w(w+2)(w+5)
C. V = w(w-2)(w-3)
D. V = (w+2)(w+5)
The volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.
What is a rectangular Prism ?
A polyhedron with two congruent and parallel bases is known as a rectangular prism. It's also known as a cuboid.
A rectangular prism has six faces, each of which is in the shape of a rectangle and has twelve edges. It's called a prism because of its cross-section along its length.
It is given that length of the rectangular prism has length of 2 cm more than the width and 3 cm less than the depth
Let the depth be x cm
and width be y cm
Then the length will be y+2 cm and x-3 cm
y+2 = x- 3
x = y+5
A rectangular prism is a cuboid with six faces
Volume of a rectangular prism can be written as
length * width * depth
= (y+2) *x*y
= (y+2)* (y+5)*y
= (y²+2y)(y+5)
= y³ +5y²+2y²+10y
= y³ +7y² +10y cm³
Therefore the volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.
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Please help meee !!!!???
Answer: 19 feet
Step-by-step explanation:
The area, 266, divided by the width, 14, equals to 19 feet.
A piece of cheese is shaped like a triangle. It has a height of 2.5 inches and a base that is 4.75 inches long. If 1 inch = 2.54 centimeters, find the area of the cheese in square centimeters. Round the answer to the nearest square centimeter. Please answer this thank you!
Answer:
[tex]A \approx 38 \, \textrm{cm}^2[/tex]
Step-by-step explanation:
The area of a triangle is defined as:
[tex]A_\triangle = \dfrac{1}{2}bh[/tex]
where [tex]b[/tex] is the length of its base and [tex]h[/tex] is its height.
So, we can plug the given values into this formula along with the inch to centimeter conversion to get the answer to this problem.
[tex]A=\dfrac{1}{2}\left(4.75\, \textrm{in} \times \dfrac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)\left(2.5\, \textrm{in} \times \dfrac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)[/tex]
And simplify.
[tex]A \approx 38 \, \textrm{cm}^2[/tex]
Which of the following equations has a different value of x than the others?(1 point
x + 9/8 = 7/4
x − 7/8 = −3/2
x + 0.875 = 1.5
x − 0.025 = 0.6
Answer: The equation [tex]x-7/8=-3/2[/tex] has a different value of x than the others. The value of x here is -0.625, while in all the other equations, the value of x is 0.625.
Step-by-step explanation: Simplifying the equation [tex]x+9/8=7/4[/tex], we get:
[tex]x=7/4-9/8[/tex]
[tex]x=0.625[/tex]
Simplifying the equation [tex]x-7/8=-3/2[/tex], we get:
[tex]x=-3/2+7/8[/tex]
[tex]x=-0.625[/tex]
Simplifying the equation [tex]x+0.875=1.5[/tex], we get:
[tex]x=1.5-0.875[/tex]
[tex]x=0.625[/tex]
Simplifying the equation [tex]x-0.025=0.6[/tex], we get:
[tex]x=0.6+0.025[/tex]
[tex]x=0.625[/tex]
Therefore, [tex]x+9/8=7/4[/tex] has a different value of x than the others.
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what is the conditional probability that a randomly-generated 4-bit string contains two consecutive 1s, given that the first bit of the string is a 1?
The conditional probability that a randomly-generated 4-bit string contains two consecutive 1s is 3 / 8 .
total length of four-bit strings = 16
Let S represent the collection of all four-bit bit strings.
Let A represent the occurrence of a randomly generated string beginning with 1.
Let B represent the scenario where a string created at random contains two consecutive 0s.
S has 8 strings that begin with the letter "1."
P( A ) = 8 / 16 = 1 / 2
Strings in S starting with 1 and having two consecutive zeros are 1000 , 1001 , 1100
P(A ∩ B) = 3 / 16
Conditional probability that at least two consecutive 0s will appear in a randomly generated bit string of length four is ,
3/16 / 1/2
= 3 / 8
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The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 6:19. There are 57 gallons of gasoline. How many ounces of oil are there?
2 ounces
18 ounces
24 ounces
180.5 ounces
According to the specified ratio , we obtain The gasoline contains 18 ounces of oil.
What's does ratio mean?The number, volume, or size difference between two or more items is known as their proportion.We got the word "ratio" directly from the Latin word, which is also called "suitable ratio." The mathematics and English ratios were derived from the Latin ratio, which had multiple meanings, ranging from "reason" to "calculation" to "proportion."Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.The fuel for a chain saw is a mix of oil and gasoline.
The ratio of ounces of oil to gallons of gasoline is 6:19.
So oil : gas = 6:19
There are 57 gallons of gasoline
⇒ oil : gas = 6:19
Let there are x gallons of ounces of oil
So x : 57 = 6:19
Convert ratio to fraction
⇒ x/57 = 6/19
Multiply both sides by 57
⇒ x = (6/19)57
⇒ x = 18
Hence, there are 18 ounces of oil in the fuel.
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in parts (a) and (b), identify whether the events are mutually exclusive, independent, or neither (events cannot be both disjoint and independent). a) you and a randomly selected student from your class both earn a's in this course. mutually exclusive neither independent b) you and your class partner both earn a's in this course. mutually exclusive neither independent c) if two events can occur at the same time, they must be independent. false true
By looking at the definition of mutually exclusive and independent event, the statement for both events are true.
What is meant by mutually exclusive?A statistical term used to describe events that cannot occur concurrently is "mutually exclusive." It is frequently used to refer to circumstances in which the occurrence of one event takes precedence over the other. For instance, it is impossible for war and peace to exist together. They are therefore opposed to one another.
What is independent event?Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include independent occurrences of the two events.
(a) True. The given event is both mutually exclusive as well as independent
(b)True. The given event is both mutually exclusive as well as independent
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Divide. Check your solutions by multiplying.
1. 409÷5
Answer:
Step-by-step explanation:
409/5 is 1/8. then 81.8 and then check by multiplying 81.8 by 5 and that equals 409.
Yo can yall answer this for me??
8 ÷ 640 x 100,000 = 12,500 defective computer chips
Scaling calculationWe can anticipate that a larger sample of 100,000 chips will exhibit the same rate of defects if the sample of 640 chips produced 8 defective ones.As a result, 8/640 Equals x/100,000, where x is the quantity of flawed chips. x = 8000 can be used to sum up this. As a result, we may anticipate that out of every 100,000 computer chips produced, there will be about 8,000 that are flawed.However, this presupposes that the defect rate stays constant and that the 640 chip sample is typical of the 100,000 chip population as a whole.Additionally, when the overall number of chips manufactured rises, the defect rate could either rise or fall.To ensure accuracy and reliability of this prediction, it is important to collect more data from larger sample sizes.To learn more about scaling calculation refer to:
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the greater the absolute size of the correlation coefficient, the greater is the covariation between the two variables, or the stronger is their relationship. true false
What is covariance
Covariance measures the directional relationship between the returns of two assets. A positive covariance means that the asset returns move together, a negative covariance means they move in opposite directions.
What does covariance between two variables mean?
Covariance measures the direction of the relationship between two variables. A positive covariance means that both variables tend to be high or low at the same time. Negative covariance means that as one variable increases, the other tends to decrease.
correlation coefficient
Correlation coefficient measures the strength of association between two variables. The most common correlation coefficient, called the Pearson product-moment correlation coefficient, measures the strength of linear association between variables measured on an interval or ratio scale.
according to the question given data,
the greater the absolute size of the correlation coefficient, the greater is the covariation between the two variables ,or the stronger is their relationship,(true)
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Given the function f(x)=7(3-x)+5 what is the answer
The answer of the function f(x)=7(3-x)+5 is -7x + 26.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.
Given the function;
f(x)=7(3-x)+5
To simplify the function:
First, solve parenthesis,
f(x)=21 - 7x +5
Taking, constant with constant term,
f(x) = -7x + 26
Therefore, the answer is -7x + 26.
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How would i solve for E
Answer:
5/13
Step-by-step explanation:
[tex]CE=\sqrt{10^2 + 24^2}=26 \\ \\ \cos E=\frac{10}{26}=\frac{5}{13}[/tex]
Hello , can someone please help me on this question ?
The value of y in the given figure is 108°.
What is corresponding angles?The angles formed by a transversal line on the same side and position of the line, if lines are parallel then the corresponding angle are congruent.
Given is a figure, where two line AB and CD are being intersected by a transversal FE,
Let FE intersects AB and CD at P and O, respectively, (refer to the figure attached)
Since, AB ║ CD
Therefore, ∠ FPB ≅ ∠ POD by the definition of corresponding angles,
2x+16 = 3x-12
x = 28
∠ POD = 28×3-12 = 72°
∠ POD and ∠ EOD are forming linear pair and therefore are supplementary,
∠ POD + y = 180°
72° + y =180°
y = 180°-72°
y = 108°
Hence, y = 108°
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The cost (c) to paint a building varies directly with the area of the surface being painted (a) in square feet. It costs $3,000 to paint a room with a surface area of 1,500 square feet. Determine an equation that gives the relationship between c and a.
The equation that gives the relationship between cost (c) and area (a) is c = 2a
How to determine an equation that gives the relationship between cost and area?A variation is a relation between a set of values of one variable and a set of values of other variables
Given that: the cost (c) to paint a building varies directly with the area of the surface being painted (a) in square feet
We can write:
c α a
c = ka
where k is the constant of proportionality
since c = $3,000 and a = 1500
c = ka
3000 = 1500k
k = 3000/1500
k = 2
Thus, the equation of the relationship is c = 2a
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help me please.-.
Solve the inequality: + 6 > -3.
1. x < -2
2. x > -2
3. x < 12
4. x > 12
The value of the inequality: 6 > - 3x is 1. x < -2
How to explain the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
From the information, 6 > - 3x. This will be:
6 > - 3x.
Divide
x < 6 / -3
x < -2
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Complete question
Solve the inequality: 6 > - 3x.
1. x < -2
2. x > -2
3. x < 12
4. x > 12
