To calculate the distance between two points:
We apply the following formula:
d = √(x₂ - x₁)² + (y₂ - y₁)²
The points are:
(x₁,y₁) = -3, -8(x₂,y₂) = 6, -8We substitute data and solve:
[tex]\bf{d=\sqrt{(6-(-3))^2+(-8-8(-8))^2 } }\\ \\ \bf{ d=\sqrt{9^2+0^2}=\sqrt{81+0} }\\ \\ \bf{d=\sqrt{81}=9 }[/tex]
The distance between the points (−3,− 8), (6, – 8) is 9.
7sur 15 plus 6sur25 FRACTION
Answer:
53/75
Step-by-step explanation:
15 = 3 × 5
25 = 5²
PPCM = 3 × 5² = 75
75/15 = 5
75/25 = 3
7/15 + 6/25 =
= (7 × 5)/(15 × 5) + (6 × 3)/(5 × 3)
= 35/75 + 18/75
= 53/75
A six-sided die is tossed three times. The probability of observing three ones in a row is
1 / 156
1 / 216
3 / 46
1 / 120
Reason:
There are 6 sides to the number cube. It gives 6*6*6 = 216 ways to roll three such dice. Only one of those ways has the sequence "1,1,1" that we're after. Therefore, the probability is 1/216.
It roughly approximates to 0.0046296; which is about a 0.46% chance of happening.
This all assumes that each side is equally likely. The answer will be different if the die is loaded in some fashion.
Directions: Solve the following problem in a way that makes sens
PROBLEM-SOLVING:
1. Students at Grossmont College are planting a community garden.
One-fifth of the garden will be planted with roses. Three students ar
equally sharing the planting of the rose section. How much of the
whole garden will each of the 3 students plant?
Therefore , the solution of the given problem of algebra comes out to be
60 garden beds in the students plans.
Algebra: What Is It?Algebra, a subfield of mathematics, is concerned with symbols and the mathematical operations carried out on them. Because these symbols don't have predetermined values, they are referred to as variables. These symbols are additionally put through a variety of addition, subtraction, multiplication, and division arithmetic operations in order to obtain the values.
Here,
Given: actual flower bed: 18
This represents 30% of all garden beds.
Assume that x is the size of the entire flowerbed.
So, 30% of x= 18
30/100 x = 18
x= 1800/ 30
x= 60
60 garden beds are therefore planned by the students.
Therefore , the solution of the given problem of algebra comes out to be
60 garden beds in the students plans.
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sum of -7g and 4g+2
The sum of the given two expressions -7g and 4g+2 is -3g+2.
What are algrbraic expressions?The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.
What are the types of algebraic expressions?There are mainly 3 types of algebraic expressions which are:
Monomial ExpressionBinomial ExpressionPolynomial ExpressionThe sum of given expressions , -7g and 4g+2 can be performed as follows:
-7g + (4g + 2)
= (-7+4)g + 2
= -3g + 2
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Are The Numbers 16,64,18 and 72 In Proportion
Answer: Yes.
Step-by-step explanation: They are in 1:4::1:4
Hope this helps
Answer:
Yes
Step-by-step explanation:
Are The Numbers 16,64,18 and 72 In Proportion?
A proportion is an equation in which two ratios are set equal to each other16 : 64 = 18 : 72
0.25 = 0.25
or
1/4 = 1/4
so your answer is yes
how long would it take me to binge a show with 27 episodes if every episode is 23 minutes long?
Answer:
10 hrs 35 min
Step-by-step explanation:
ohh yeahh which show tell me in comment lol
btw it would take u total
621 minutes to complete the show
which meaning 10 hrs and 35 min
and if you touch the grass then it would take few hours more
Ross walked 7 miles in 2 hours. What is his unit rate of miles per hour?
Answer:
3.5 miles per hours
Step-by-step explanation:
7/2 =3.5
A 3kg cart moving with a speed of 4m/s collides with a 1 kg cart at rest
The speed of the carts after collision is 3 m/s.
What is the velocity after collision?We have to note that in this case, we would need to apply the principle of the conservation of linear momentum. This implies that the momentum before collision would have to be the same as the momentum after collision.
Then we have;
Momentum before collision = Momentum after collision thus;
(3 * 4) + ( 1 * 0) = (3 + 1) v
Note that the two carts are said to stick together and move with a common speed
Hence;
12 = 4v
v = 12/4
v = 3 m/s
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There are three section of class 10th in Kendriya Vidyalaya Delhi Cantt the total number of strain in class 10th 400 the marks obtained by the students in pre board exam are presented in the table as given below the mean of the marks obtained in 53
Marks obtained=0-20,20-40,40-60,60-80,80-100
Number of student 15,18,21,29,p
(1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2) what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80 (3) what is the value of modal marks
(a)58 (b)62 (c) 65 (d) 68 (4) what is the value of {fixi? (a)2900 (b) 5300 (c) 1500 (d) 100
(5) what is the upper limit of the median class?
(a) 20 (b) 40 (c) 60 (d) 80
2
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Given :
Marks obtained= 0-20,20-40,40-60,60-80,80-100
Number of student 15 , 18, 21, 29, p
mean of the marks obtained is 53
To Find : (1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2)
what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80
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Therefore ,the top limit of the normal class of three parts of mean class 10th is therefore 60, and the median class is 40–60.
Define mean.Simply average a collection of three or more numbers yields the phrase "mean." The median method, which employs the maximum of a group of products, and the arithmetic average approach, which uses the sum of both the series' values, are two ways to determine the mean for just a given set of numbers.
Given:
Grades received:
X f fi xi
0-20, 10 15 150
20-40, 30 18 540
40-60, 50 21 1050
60-80, 70 29 2030
80-100 90 p 90p
Total: 3770 + 90p + 83p
Mean (3770 plus 90 pi)/(83 plus pi) = 53
=> 3770 + 90p = 83 * 53 + 53p
=> 37p = 629
=> p = 17
17 students received scores in the 80–100 range.
f = 29 and modal class 60-80
minimum of modal class 60
=> 60 + 20 * 8/20
=>68
68 is the modal marks value.
=> ∑fixi = 3770 + 90p = 3770 + 90(17) = 5300
=> 100/2 = 50
60 is the maximum median class for 3 phases of class 10 with a median class of 40–60.
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A doctor gives 10 patients Drug A and 10 patients Drug B and records the differences. Is this an observation, survey, experiment, or simulation?
The given drug experiment is an example of observation.
What are the types of statistical studies worksheet?There are three major types of statistical studies :
observational studiessurveysexperiments.Given is that a doctor gives 10 patients Drug A and 10 patients Drug B and records the differences.
Giving 10 patients Drug A and 10 patients Drug B and then recording the differences is an example of observation.
Therefore, the given drug experiment is an example of observation.
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what does a duck say
Answer:
theres three possible answers, they either QUACK, HONK, or hum
Step-by-step explanation:
if the slope of a line is 3 ,then the slope of a parallel line is 4
4 3
true or false?
The given statement “if the slope of a line is 3, then the slope of a parallel line is 4” is false because parallel lines have equal slopes
How to determine the true statement of the parallel line?From the question, we have the following parameters that can be used in our computation:
Slope of a line = 3
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 3
This means that the slope is 3
The slopes of parallel lines are equal
This means that the slope of the other line is 3
Hence, the statement is false
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Show your work please help
The error in the work lies in line 3 where the square root is calculated inaccurately.
What is square root of a number?The opposite of squaring an integer is finding its square root. The square root of a number can be found by looking for a number that, when squared, yields the original value.
The error is in line 3, line 4 and line 5.
The error in line 3 is inaccurate calculation of the value of square root of 4.
The error in line 4 is a mathematical calculation error.
The error in line 5 is a mathematical calculation error.
The correct answer in Line 3 is:
[tex]6 * 2 *\sqrt{5} -3\sqrt{5}[/tex]
The correct answer in Line 4 is:
[tex]12\sqrt{5} - 3\sqrt{5}[/tex]
The correct answer in Line 5 is:
[tex]9\sqrt{5}[/tex]
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SELECT ALL of the numbers that are included within the range of the line segment.
ANSWERS ↓
-6
-4
-3
-2
0.5
1.5
3.5
Answer: -2, -3, and -4.
Step-by-step explanation:
The range is all the Y Values the graph uses, and the Y values range from -0.5 to -5.5, making every number in between those included.
Select the locations on the number line to plot the points 1, 4, and −3.
The locations of the points on the number line are:
point 1: 1 step to the right of 0.
point 4: 4 steps to the right of 0.
point -3: 3 steps to the left of 0
How to select the locations on the number line to plot points?
A number lines is an horizontal straight line in which the integers are placed in equal intervals.
All positive numbers on the number line are on the right side of zero while the negative numbers are on the left side of zero.
To locate 1: starting from 0, count 1 step to the right.
To locate 4: starting from 0, count 4 steps to the right.
To locate -3: starting from 0, count 3 steps to the left.
Check the attached image to see the points.
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Prime numbers are the _______ _______of all numbers
The numbers which have only two factors either 1 and the number itself are called prime numbers.
What is prime numbers?Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number
Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29
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Which figures show shaded
amounts that are equivalent to 1/4
The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.
How to identify the correct graph?To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.
According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.
Note: This question is incomplete because there is some information missing. Here is the complete information:
image attached
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The coordinates of cd are C(-7,-2) and D (-3,-5) Point E is the midpoint of cd What are the coordinates of the midpoint E?
The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let (x, y) represent the coordinate of the midpoint E. Point E is the midpoint of CD, hence:
x = [(-7) + (-3)] / 2 = -5
y = [(-2) + (-5)] / 2 = -3.5
Therefore the coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)
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help thanks !!!!!!!!!!!!!!!
Answer:
ASA
Step-by-step explanation:
The hash marks are telling which sides are congruent and the angle mark is telling us that those angles are congruent.
Solve for the roots in the following equation. Hint: Factor both quadratic expressions.
(4+5x²-36)(2x²+9x-5) = 0
Using the provided quadratic expression and factorizing it, The answer is x = ± √6.4 or x = ± 2.51 and x = 1 or x = -2.5 .
What is a equation?An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.
What are roots of the equation?Roots of an equation are the values of the variable that make the equation true. For example, the roots of the equation x^2 + 2x - 3 = 0 are -1 and 3, because (-1)^2 + 2(-1) - 3 = 0 and 3^2 + 2(3) - 3 = 0. In general, finding the roots of an equation can be a difficult task and may require the use of mathematical techniques such as factoring, graphing, or numerical methods. Roots are also known as solutions or zeroes of an equation. They can be found by setting the equation equal to zero and solving for the variable.
(4+5x²-36) = 0 or (2x²+9x-5) = 0
Solving the first factor:
4+5x²-36 = 0
5x²-32 = 0
5x² = 32
x² = 6.4
x = ± √6.4
x = ± 2.51 or -2.51
Solving the second factor:
2x²+9x-5 = 0
x²+4.5x-2.5 = 0
(x-1)(x+2.5) = 0
x = 1 or x = -2.5
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please help!
Use the Fundamental Counting Principle to determine how many kinds of teddy bears you can build if you must choose one of each category.
1) Choose the bear.
2) Choose an accessory.
3) Choose sound option.
Answer:
Step-by-step explanation:
33
in the xy-plane what is the y-intercept of the graph of the equation y=(x-2)^2?
As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.
what is equation ?The number is said to be in its simplest form when divided into its smallest equivalent fraction. What should be done to find the most basic form. Look for common factors in the numerator and denominator. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two collinear and an equal marker in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The conventional form of a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). An identity holds true regardless of the value given to the variables.
given
Equation as given:
y = 6 (x - 1/2)(x+3)
To identify the equation's graph's y-intercept
Put x = 0 in place of it in the equation.
y = 6 (0 - 1/2)(0+3)
Apply the math operation, then find y.
y = -9
As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.
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Autumn received $150 for her birthday this year.
This was $10 less than half the amount she
received last year. How much money did
Autumn receive for her birthday last year?
Write an equation to model this situation.
Let x = the amount of money Autumn received
last year
Decide whether triangles ABC and DEC are similar. Explain or show your reasoning.
Triangles ABC and DEC are similar.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Here, we have,
Given the triangles ABC and DEC
For the triangle ABC:
m∠A = 36, m∠B = 21
So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123
Similarly, the angles of DEC are,
m∠D=36 , m∠C=123 & we get, m∠E =21
So, comparing the measurements of the angles of both triangles:
m∠A=m∠D.
m∠C=m∠C
m∠B=m∠E
So, the triangles are similar using the AAA postulate.
Hence, triangles ABC and DEC are similar.
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-15 POINTS- only answer if you know, don’t guess.
A. Parallelogram
B. Trapezoid
C. Neither
Answer:
C, neither.
I've attached a picture of what it looks like when you plot it on a graph. As you can see, it is neither. So the answer is C
Hope this helped :)
If 1 US Dollar is worth 0.80 Euros, how many US Dollars is 1 Euro worth?
search in to find answer
is y= 2x3 an exponential function?
Answer:
No it is not an exponential function
Which is a true statement regarding Springside?
Springside does not affect the correlation.
Springside weakens the correlation shown in the scatterplot.
Springside strengthens the correlation shown in the scatterplot.
Removing Springside would increase the value of the correlation coefficient.
The result of the interpretation of the graph:
Spring side weakens the correlation shown in the scatter plot.
The correct option is D.
What is a correlation coefficient?The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.
Given:
The mean test score is represented in the scatter plot as a function of the average class size.
This demonstrates that there is a negative link between the mean class size and the mean test score,
with the mean score decreasing as the mean class size increases.
The correct response is:
Spring-side decreases the association displayed in the scatter plot.
However, for Spring side, the mean test score is higher than most other schools with lower class sizes, which is a different outcome than predicted.
Therefore, spring-side weakens the correlation shown in the scatter plot.
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The complete question:
A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatter plot. One school in the report, Spring side Elementary, is labeled in the graph.
Which is a true statement regarding Spring side?
Spring side does not affect the correlation.
Spring side weakens the correlation shown in the scatter plot.
The spring side strengthens the correlation shown in the scatter plot.
Removing Spring side would increase the value of the correlation coefficient.
The scatter plot is attached in the image.
17. Higher Order Thinking In 4th grade,
Richard read 37 books. In 5th grade, he read
9 more books than the year before. This
year, in 6th grade, Richard plans to read at
least 12 more books than the total number
of books read in both 4th and 5th grades.
Richard writes the inequality b≥ 180 to
show the total number of books he will
have read in 4th, 5th, and 6th grades. Is his
inequality correct? Why or why not?
Step-by-step explanation:
No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.
Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.
2x^5 + 4y^12/12x^2 = ?
Solve in simplest form
Answer:
2x^5+y^12*x^2/3
Step-by-step explanation: