Answer:
Square root of 29.
Step-by-step explanation:
Distance = sqrt(2^2 + (-5)^2)
= sqrt 29.
Find the area of the triangle ABC given angle A = 45°, b = 8, and c = V2.
Answer:
180
Step-by-step explanation:
triangle 1/2 base x height = area 45 x 4 = 180
The path of a firework is described by the equation: y= - 4.9(x-5) 2+124, where y represents the height in meters and x represents the time in seconds... What is the maximum height of the firework. how many seconds does it take for the firework to reach maximum height. calculate the height 3.5 after the launch.
The given equation of a path of a firework is y= - 4.9(x-5)2 +124 where x is the time in seconds and y is the height in meters.
1. What is the maximum height of the firework The maximum height of the firework can be determined by finding the vertex of the equation which is given by ;Vertex form of a parabolic equation is y = a(x - h)² + k where;(h, k) = vertex of the parabola Comparing the equation of the path of the firework with the vertex form, we get ;h = 5k = 124a = -4.9Substituting the values into the vertex form, we get ;y = -4.9(x - 5)² + 124To get the maximum height, we find the y-coordinate of the verte x ;Y = -4.9(5 - 5)² + 124Y = 124mAnswer: 124m.
2. How many seconds does it take for the firework to reach maximum height?The time taken by the firework to reach maximum height is equal to half of the time taken to complete the whole journey. This is because the motion of the firework is symmetrical.
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John gave 8 people candy. He split 3/4 pounds among them.
What is the unit rate in pounds per person?
John gave 8 people candy if he split 3/4 pounds among them then the unit rate in pounds per person is 0.09375.
What is Algebra?
Algebra is the study of variables and the rules for manipulating these variables in formulas; it's a unifying thread of nearly all of mathematics. Elementary algebra deals with the manipulation of variables as if they were figures and is thus essential in all operations of mathematics.
Algebra is divided into differentsub-branches similar as abecedarian algebra, advanced algebra, abstract algebra, direct algebra, and commutative algebra.
The basics of algebra include figures, variables, constants, expressions, equations, direct equations, quadratic equations. Further, it involves the introductory computation operations of addition, deduction, addition, and division within the algebraic expressions .
Given that;
3/4 divided by 8 = (3/4)/8 = 3/32 pounds per person
3/4 = 0.75 then divide by 8
0.75/8 = 0.09375 pounds per person
Therefore, John gave 8 people candy if he split 3/4 pounds among them then the unit rate in pounds per person is 0.09375.
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Two linear functions are represented in different formats
Function 1
X
y
0
-2
2
0
3
1
5
3
Function 2
1
-6-5-4-32-1
1
2
7 8
-3
Which statements are true?
Select each correct answer.
O Function 1 has a greater rate of change than function 2
Function 2 has a greater rate of change than function 1
O Function 1 has a greater y-intercept than function 2
Function 2 has a greater y-intercept than function 1
It is not possible to have more than one optimal solution to a linear programming problem. true. false.
which equations are true identities
Answer:
C
Step-by-step explanation:
Both A and B are true identities.
See attachment.
yo i really need help please in order to pass this i’ll give a brainliest to anyway who knows the correct answer please no links
all i know is that it would not be 13.9
Answer:
12in
Step-by-step explanation:
this is the only subject i'm good at in math XDDD.
does someone mind helping me with this problem? Thank you!
Answer:
5.20
Step-by-step explanation:
48 / 9.23 = 5.20043336945
rounded to tenth is 5.20
Hope This Helped
Answer:5.20
Step-by-step explanation:
48 / 9.23 = 5.20
4 The Smith Family has had two children. Suppose that all possible configurations of the genders of these two children (assume for the purposes of this problem that the "gender" of any given child is either male or female) are equally likely.
a. Given that at least one of the children is a girl, calculate the probability that the two children are girls. b. The Smiths have invited you over for dinner, you know that after you knock on their door one of their children will answer. What is the probability that a girl answers?
a. If at least one of the two children is a girl, there are three possible configurations: two girls, a girl and a boy, and two boys. The probability of two girls is 1/3.
To calculate the probability of two girls, we can consider the number of ways that two girls can be chosen divided by the total number of possible configurations.
In this case, there is only one way to choose two girls (i.e., choose two girls out of two children), while there are three total possible configurations. Therefore, the probability of two girls is 1/3.
b. If one of the children answers the door, there are two possible configurations: a girl or a boy. The probability that a girl answers is 1/2.
To calculate the probability that a girl answers, we can consider the number of ways that a girl can be chosen divided by the total number of possible configurations.
In this case, there is only one way to choose a girl (i.e., choose a girl out of two children), while there are two total possible configurations.
Therefore, the probability that a girl answers is 1/2. This makes sense, as we are given that the genders of the two children are equally likely, so each child has a 1/2 chance of answering the door.
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find the area of the parallelogram. the figure is not drawn to scale 44 38 35
The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.
To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:
Area = side1 * side2 * sin(angle)
Plugging in the values, we have:
Area = 44 * 38 * sin(35 degrees)
To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.
Area = 44 * 38 * sin(0.610865)
Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.
Area = 44 * 38 * 0.5815
≈ 1008.77 square units
Therefore, the area of the parallelogram is approximately 1,008.77 square units.
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Which number line shows the solution set to this inequality? The figure shows inequality on a number line 0, 1, 2, 3, 4, 5, 6 in which a circle from 4 extends to the right, with an arrow at the end. The figure shows inequality on a number line 0, 1, 2, 3, 4, 5, 6 in which a circle from 2 extends to the left, with an arrow at the end. The figure shows inequality on a number line 0, 1, 2, 3, 4, 5, 6 in which a circle from 3 extends to the right, with an arrow at the end. The figure shows inequality on a number line 0, 1, 2, 3, 4, 5, 6 in which a circle from 3 extends to the left, with an arrow at the end.
The number line which shows the solution set to the given inequality is: number line B.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which comprises numerical values (both positive and negative numbers) that are placed at equal intervals along its length.
Now, we would solve the given inequality:
½(20x + 6) ≥ x + 30
10x + 3 ≥ x + 30
10x - x ≥ 30 - 3
9x ≥ 27
x ≥ 3.
Therefore, the number line which shows the solution set to the given inequality is a number line with 0, 1, 2, 3, 4, 5, 6 in which a circle from 3 extends to the right, with an arrow at the end.
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Complete Question:
Which number line shows the solution set to this inequality? ½(20x + 6) ≥ x + 30
The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.
Triangle X Y Z is shown. The length of side X Y is m + 8, the length of side Y Z is 2 m + 3, the length of side Z X is m minus 3.
Which is correct regarding the angles of the triangle?
mAngleX < mAngleZ < mAngleY
mAngleY < mAngleZ < mAngleX
mAngleY < mAngleX < mAngleZ
mAngleZ < mAngleY < mAngleX
Answer:
In a triangle, the side opposite to the largest angle is the longest side, and the side opposite to the smallest angle is the shortest side. In triangle XYZ, the length of side XY is m + 8, the length of side YZ is 2m + 3, and the length of side ZX is m - 3. Since m ≥ 6, we can determine that 2m + 3 is the largest value, m + 8 is the next largest value, and m - 3 is the smallest value. Therefore, side YZ is the longest side and side ZX is the shortest side.
Since side YZ is the longest side, angle X must be the largest angle. Since side ZX is the shortest side, angle Y must be the smallest angle. Therefore, the correct ordering of the angles from smallest to largest is ∠Y < ∠Z < ∠X.
Step-by-step explanation:
Subtract fractions and mixed numbers with different denominators Then plot the number you are subtracting from 1 2/9 - 2/3
the result of the expression for fractions 1 2/9 - 2 / 3 will be 5 / 9.
The expression for the fraction is given as:
1 2/9 - 2 / 3
First we will convert the mixed fraction to the improper fraction:
1 2/9 = 11 / 9
Now , the expression becomes:
11 / 9 - 2 / 3
Taking LCM and simplify:
(11 - 6) / 9
Solve and subtract the fractions:
5 / 9
Therefore, we get that, the result of the expression for fractions 1 2/9 - 2 / 3 will be 5 / 9.
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The probability density function for a uniform distribution ranging between 2 and 6 is
a. 4
b. undefined
c. any positive value
d. 0.25
The probability density function (PDF) for a uniform distribution ranging between 2 and 6 is 0.25 i.e., the correct option is D.
In a uniform distribution, all values within the range have an equal probability of occurring. The PDF is used to describe the distribution of probabilities over the range. For a uniform distribution ranging between 2 and 6, the PDF would be a horizontal line with a height of 1/4 (or 0.25) between 2 and 6, and zero outside that range. However, at any specific point within the range, the PDF does not have a defined value.
The reason for this is that the PDF for a continuous random variable in a uniform distribution is defined as a constant value divided by the width of the range. Since the range for this uniform distribution is 4 (from 2 to 6), the constant value would be 1/4.
However, at any specific point within the range, the width of the range becomes zero, resulting in an undefined value for the PDF.
Therefore, the PDF for a uniform distribution ranging between 2 and 6 is indeed 0.25, as it provides a constant probability density over the entire range.
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A peanut company ships its product in a carton that weighs 20 oz when empty. Twenty bays ul
peanuts are shipped in each carton. The acceptable weight for one bag of peanuts is between 30.5 pz
and 33.5 oz, inclusive. If a carton weighs too much or too little it is opened for inspection. Write and
solve a compound inequality to determine x, the weights of cartons that are open for inspection.
mular dog run so that one shorter side of the
The compound inequality statement for the weight of cartons that would be inspected is 630 > X > 690
Weight of empty carton = 20 oz
Acceptable range of weight per bag of peanut :
Lower limit = 30.5 oz Upper limit = 33.5 ozNumber of peanut bags per carton = 20 bags
Therefore,
The lower limit for weight of carton after being filled will be :
Weight of empty carton + (20 × weight per bag) 20 + (20 × 30.5) = 630 ozThe Upper limit for weight of carton after being filled will be :
Weight of empty carton + (20 × weight per bag) 20 + (20 × 33.5) = 690 ozTherefore, the compound inequality for the cartons that will be inspected is : 630 > X > 690
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PLEASE HELP ! me last question
Answer:
So sorry but I have no idea, also have a great weekend!
the equation of 3 times x is 38
\(3 times x is 38\)
Answer:
3x = 38
Step-by-step explanation:
x = 38/3
x = 12. 6666 or 12.7
Answer:
Step-by-step explanation:
3x = 38
Divide both sides by 3
x = 38/3
x = 12 2/3
(Chapter 14) If f(x,y) has two local maximal, then f must have a local minimum.TrueFalse
It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.
For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.
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ii.) 2 ( x + 3 ) = 15
Answer:
2(x+3)=15
2x+6=15
2x=9
x= 4.5
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
F=9/5C + 32 solve for C
To solve for C let us do these steps
1. Put the term of C on one side and the other terms on the other side
Subtract 32 from both sides to move the term 32 to the other side
\(\begin{gathered} F-32=\frac{9}{5}C+32-32 \\ F-32=\frac{9}{5}C \end{gathered}\)2. Make the coefficient of C = 1
Divide both sides by 9/5
\(\begin{gathered} \frac{F-32}{\frac{9}{5}}=\frac{\frac{9}{5}C}{\frac{9}{5}} \\ \frac{5}{9}(F-32)=C \\ C=\frac{5}{9}(F-32) \end{gathered}\)You can Multiply the bracket (F- 32) by 5/9
\(C=\frac{5}{9}F-\frac{160}{9}\)Tyrel evaluated the expression 2 1/2− 3/4. Which is one way he can check his work?
The value is 7/4 = 1.75
From the question, we have
\(2\frac{1}{2} -\frac{3}{4} \\=\frac{5}{2} -\frac{3}{4} \\=\frac{10-3}{4}\\=\frac{7}{4}=1.75\)
Subtraction:
The act of deleting items from a collection is represented by subtraction. Subtraction is denoted by the minus sign. For instance, supposing there are nine oranges stacked together (as indicated in the above image), four oranges are taken out and put in a basket, leaving nine – four oranges, or five oranges, in the stack. Therefore, 9 minus 4 equals 5, or the difference between 9 and 4. Different kinds of numbers can also use subtraction, which is not just applicable to natural numbers. This means that we can use several sets of objects, such as negative numbers, fractions, rational and irrational numbers, decimals, functions, matrices, and vectors, to explain reducing or eliminating physical and abstract values.
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The selling price of an item is Rs 194. If the loss is 3 %, find the cost price
Answer:
188.88
Step-by-step explanation:
The Tunnel of Fear ride climbs straight up to its peak 505050 meters above the ground. Then, it drops 656565 meters into an underground tunnel.
Answer:
50 meters above the ground. Then, it drops 65 meters into an underground tunnel.What is the elevation of the tunnel relative to the ground
Step-by-step explanation:
Answer:
-15
Step-by-step explanation:
khan show me the steps
What information is needed to write the equation of a line in point-slope form?
The location of one ordered pair that lies on the line and the line's slope.
The line's slope and one ordered pair that is not on the line.
The location of one ordered pair on the line and one ordered pair that is not on the line.
The slope of the line and the location of the origin.
The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option
Point-slope form of the equation of a lineFrom the question, we are to determine the information that is needed to write the equation of a line in point-slope form.
The point-slope form of a line is given as
y - y₁ = m(x - x₁)
Where, (x₁, y₁) is a point on the line
and m is the slope of the line
Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:
1. An ordered pair on the line
2. The slope of the line
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Suppose the population standard deviation is 0.15 in.0.15 in. What is the probability that the sample mean diameter for the 3535 columns will be greater than 8 in.
The probability that the sample mean diameter for the 3535 columns will be greater than 8 in is approximately 0.9934.
To calculate this probability, we can use the Central Limit Theorem (CLT). According to the CLT, when the sample size is large enough, the distribution of the sample means will be approximately normally distributed, regardless of the shape of the population distribution.
In this case, we know that the population standard deviation is 0.15 in. Let's assume that the population mean is μ. Since the sample size is large (3535), we can use the normal distribution to approximate the distribution of the sample mean.
To find the probability that the sample mean diameter will be greater than 8 in, we need to calculate the z-score corresponding to 8 in and then find the area under the standard normal curve to the right of this z-score. The formula to calculate the z-score is:
z = (x - μ) / (σ / √n)
where x is the value of interest (8 in), μ is the population mean (unknown), σ is the population standard deviation (0.15 in), and n is the sample size (3535).
Substituting the values into the formula, we get:
z = (8 - μ) / (0.15 / √3535)
To find the area under the standard normal curve to the right of this z-score, we can use a standard normal table or a statistical software. The resulting probability is approximately 0.9934.
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suppose that we have defined a class called point that contains only two public instance variables, int x and int y. consider the following snippet of java code:
you can create instances of the Point class and manipulate the x and y values. For instance, you can initialize two Point objects and compute their distance using integer arithmetic
In the context you've provided, the Point class contains two public instance variables, int x and int y, which represent the x and y coordinates of a point in a 2D space. Here's a simple example of the class:
```java
public class Point {
public int x;
public int y;
}
```
In your Java code, you can create instances of the Point class and manipulate the x and y values. For instance, you can initialize two Point objects and compute their distance using integer arithmetic. Here's a sample code snippet:
```java
public class Main {
public static void main(String[] args) {
Point point1 = new Point();
Point point2 = new Point();
point1.x = 3;
point1.y = 4;
point2.x = 6;
point2.y = 8;
int distanceX = Math.abs(point1.x - point2.x);
int distanceY = Math.abs(point1.y - point2.y);
double distance = Math.sqrt(distanceX * distanceX + distanceY * distanceY);
System.out.println("The distance between the two points is: " + distance);
}
}
```
In this example, we create two Point instances, point1 and point2, and assign values to their x and y coordinates. Then, we calculate the distances between the x and y coordinates and use the Pythagorean theorem to find the distance between the two points.
Remember that when working with integers in Java, any division operation will result in truncation of the decimal part
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Can someone help me with these 2 problems I’ve been stuck on them for a very long time :’) tysm!!
Answer:
Christmas How many pouds this proportion to solve
Is anyone good at this:{
Answer:
no not really
Step-by-step explanation:
i lowkey suck at graphs and charts, sorry :(
what does it mean for a tree to be complete? group of answer choices every node has either 0 or 2 children every level except for the last is necessarily filled, and in the last level nodes are filled in from left to right every node in the left subtree must be of lower priority than that of the root, and every node in the right subtree must be of greater priority than that of the root none of the above
The binary search tree to be complete means all the nodes has its own subtree with maximum zero or two children.
In the binary search tree data structure which is composed of some nodes have following characteristics :
All the tree has some root node present at the top of the tree which has some data type value.The root node contains zero or sometimes more child nodes.In the continuity , each child node consists of zero or more child node.When this process is continue this tree has one or subtree.All the nodes present in the tree has its own subtree which is combination of children and their children.Each node has maximum two children not more than that.The given question is incomplete, I answer the question in general according to my knowledge:
What does it mean for a binary search tree to be complete?
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a bridge hand consists of 13 cards dealt at random from the deck of 52. the probability that a bridge hand will have exactly 2 queens is:
The probability that a bridge hand will have exactly 2 queens is 0.45%.
To find the probability of getting a bridge hand with exactly 2 queens, we need to use the binomial probability formula. The formula is:
P(exactly k successes) = (n choose k) * p^k * (1-p)^(n-k)
Where:
n is the total number of trials
k is the number of successes in the trials
p is the probability of success in a single trial
In this case, the total number of trials is 13 (since a bridge hand consists of 13 cards), and the number of successes we want is 2 (since we want exactly 2 queens). The probability of success in a single trial is the probability of drawing a queen, which is 4/52 (since there are 4 queens in a deck of 52 cards).
Plugging these values into the formula, we get:
P(exactly 2 queens) = (13 choose 2) * (4/52)² * (48/52)¹¹
= (78) * (1/169) * (4/13)¹¹
= (4/169) * (4/13)¹¹
This simplifies to:
P(exactly 2 queens) = (4/169) * (4/13)¹¹
= (4/169) * (4/169)¹¹
= (4/169)¹²
The final probability is approximately 0.0045 or 0.45%. This means that the probability of getting a bridge hand with exactly 2 queens is quite low.
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