The coordinates of B are (6,0).
The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the segment. For a line segment with endpoints (x1, y1) and (x2, y2), the midpoint is given by the coordinates:
((x1 + x2) / 2, (y1 + y2) / 2)In this problem, we're given that the midpoint is (2, 4) and we need to find the coordinates of point B. Since we know the coordinates of the midpoint, we can set up the equation:
((x1 + x2) / 2, (y1 + y2) / 2) = (2, 4)We know that point A = (-2,9) is one endpoint, so we can substitute it into the equation
((-2 + x2) / 2, (9 + y2) / 2) = (2, 4)Solving for x2 and y2, we get x2 = 6 and y2 = 0 which is the coordinates of point B.
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Select all ratios equivalent to 2:14. A3:21b.1.2.c
16:112
The ratios equivalent to 2:14 are 3:21 and 16:112. Option A &C
What is equivalent ratios?Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.
2:14 = 2/14
Reducing 2/14 to the lowest terms = 1/7
2:14 is equivalent to 1:7
3:21 = 3/21 = 1/7
Reducing 3/21 to the lowest terms = 1/7
3:21 is equivalent to 1:7
1:2 = 1/2
1:2 is not equivalent to 1:7
16:112 = 16/112 = 1/7
Reducing 16/112 to the lowest terms = 1/7
16:112 is equivalent to 1:7
Hence, 2:14, 3:21 and 16:112 are all equivalent ratios
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The following federal tax table is for biweekly earnings of a
single person.
A single person earns a gross biweekly salary of $840. By
claiming 2 more withholding allowances, they would have
$30 more in their take home pay. How many withholding
allowances do they currently claim?
Therefore , the solution to the given problem of unitary method comes out to be he will have $870.
What is unitary method, exactly?The unit method is a method of problem-solving that entails calculating the variable of one unit, multiplying that value, and then calculating the required value. To describe it simply, the unit method is employed to obtain a single entity value from a specified multiple. One pen costs 400 rupees, thus 40 needles would cost 400 rupees. There might be a regular procedure for doing this out. merely one nation. anything containing a distinctive component. Logic of matrices or operators, algebra, mathematical analysis, and its adjoint and reciprocal are all equivalent.
Here,
To address the issue,
if the person gets a gross biweekly salary of $840 and claims 2 extra withholding allowances,
their take-home pay would increase by $30.
thus,
They will have 840 + 30 = $870
Therefore , the solution to the given problem of unitary method comes out to be he will have $870.
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MODELING REAL LIFE The volume of a sphere is given by the equation $V=\frac{1}{6\sqrt{\pi}}S^{3/2}$ , where $S$ is the surface area of the sphere. Find the volume of a water walking ball, to the nearest cubic meter, that has a surface area of 60 square meters. Use 3.14 for $\pi$ .
The volume of the water walking ball is 43.71 m³
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r2. The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle
Given :
[tex]$V=\frac{1}{6\sqrt{\pi}}S^{3/2}$[/tex] and surface area of water walking ball is 60 m²
putting the values in the equation we get
V= 464.758/10.632
V=43.71
Hence, the volume of the water walking ball is 43.71 m³
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please help with this shapes question
Given the surface area of the sphere, and the formula for the surface area, the value of the radius is 11 cm
How to find the radius ?The radius of the sphere allows for the surface area of the sphere to be calculated, with the formula 4 πr².
Given that the surface area of the sphere is 484 π cm then the radius can be found to be :
484 π = 4 πr²
r ² = 484 π / 4 π
r ² = 121
The value of the radius would then be:
r ² = 121
r = √ 121
r = 11 cm
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The rectangular floor of a classroom is 26 feet in length and 36 feet in width. A scale drawing of the floor has a length of 13 inches. What is the perimeter, in inches, of the floor in the scale drawing?
HURRYYY I NEED HELP AGAIN!
Answer: 62 inches
Step-by-step explanation:
26÷13 =2
so 2 is the scale factor
so 36÷2= 18
18+18+13+13=62
I HOPE THAT HELPED
Is x2 4x 4 a perfect square trinomial?
x² + 4x + 4, this is a perfect square trinomial, which is expressed as
(x + 2)²
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Given that,
x² + 4x + 4
= (x)² + 2(2x) + 4
= (x)² + 2(x)(2) + 2²
This is similar to a² + 2ab + b² = (a + b)²
so, we can write:
= (x + 2)²
= (x + 2) (x + 2)
so, this is a perfect square trinomial.
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Question 1(Multiple Choice Worth 4 points) (02.05 LC) A surgeon performed two types of surgeries to treat large kidney stones and small kidney stones. Treatment A on large stones was successful 73% of the time, but on small stones it was successful 93% of the time. Treatment B was successful on large stones 69% of the time, but on small stones it was successful 87% of the time. The overall report stated treatment B was more successful. What may make this claim possible? Sampling error Cause-and-effect relationship Convenience error Confounding Simpson's Paradox
The correct option is Simpson's Paradox because the concept of the other options don't depict the paradox displayed in the question.
Simpson's paradox
it is simply a phenomenon in probability and statistics, whereby a trend appears in several different groups of data but will disappear or reverse when these groups are combined.
This result is often encountered in many areas of statistics and is very problematic especially when frequency data is given causal interpretations. The paradox can be resolved when causal relations are appropriately addressed in the statistical modeling.
It concluded that treatment B was more successful than treatment A without considering the conditions under which both treatments were carried out neither did it consider the severity of cases of patients involved in the treatment.
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73. Angle of elevation: In 2001, the tallest building in the world was the Petronas Tower
in Kuala Lumpur, Malaysia. For a person standing 25.9 ft from the base of the tower.
the angle of elevation to the top of the tower is 89°. How tall is the Petronas tower?
Analo
The Petronas tower is 1483.811 feet tall.
What is tangent function?One of the six fundamental functions in trigonometry is the tangent function. As stated, Tan A = Opposite Side/Adjacent Side is the Tangent Formula. Tangent may be modeled using sine and cosine as follows: Tan A = Sin A / Cos A.
Given:
Angle of elevation: In 2001, the tallest building in the world was the Petronas Tower in Kuala Lumpur, Malaysia.
For a person standing 25.9 ft from the base of the tower.
The angle of elevation to the top of the tower is 89°.
Let c = height of the tower,
and a = distance from the base of the tower to x.
a = 25.9 feet.
The formula:
Tangent (angle) = opposite side / adjacent side.
tan89° = c / a
57.29 = c / 25.9
c = 57.29 x 25.9
c = 1483.811 feet
Therefore, 1483.811 feet is the height of the Petronas tower.
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What 3 numbers make a right triangle?
Answer:
A right triangle equals to 90 degress, and has 2 equal angles.
Example: 20 degress, 20 degrees and 50 degress could make a right triangle.
I hope this helps you!
Write −0.39¯¯¯¯¯ as a fraction in simplest form.
Answer:
-0.3999... = -⅖
-0.393939... = -13/33
Step-by-step explanation:
Only ones I could think of.
Answer:
-39/100
Step-by-step explanation:
Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 4
6th terms of given geometric progression whose common ratio is 3/2 and first term is 4 is 243/8 using the farmula ar^(n-1).
What is a geometric sequence?
A mathematical sequence known as a geometric progression (GP) is one in which each following phrase is generated by multiplying each preceding term by a fixed integer, or "common ratio." This progression is sometimes referred to as a pattern-following geometric sequence of numbers. Learn development in mathematics here as well. Here, each phrase is multiplied by the common ratio to generate the subsequent term, which is a non-zero value. A geometric series with a common ratio of 2 is 2, 4, 8, 16, 32, 64, etc.
Geometric Progression takes the following general form: a, ar, ar^2, ar^3, ar^4,..., ar^(n-1).
a = First term where
The common Ratio is r.
nth term = ar^(n-1)
6th terms ar^(6-1) = ar^5.
given is that r =3/2. a = 4.
6th term = 4 * (3/2)^5
= 4 * 3^5/2^5
=4*243/4*8
=243/8.
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Select the interval where the graph h is increasing.
Answer: B
Step-by-step explanation:
Based on the graph, we know that it is increasing if it is going up from left to right.
A: incorrect
Looking at choice A, it says the interval is from -5<x<-4. This means we have to find x=-5 and x=-4. On the graph, that interval is going down from left to right, so it is decreasing.
B: correct
Looking at choice B, it says the interval is from -2<x<2. This means we have to find x=-2 and x=2. On the graph, that interval is going up from left to right, so it is increasing.
C: incorrect
Looking at choice C, it says the interval is from 3<x<4. This means we have to find x=3 and x=4. On the graph, that interval is going down from left to right, so it is decreasing.
Therefore, B is the correct answer.
URGENT!!
Which of the following lists is in order from least to greatest?
Answer:
It's B, -2, v/5 4, and 3².
Kylie ran 7/10 of a mile and walked 2/5 of a mile. How much farther did Kylie run than walk?
Write your answer as a fraction or as a whole or mixed number.
The farther distance run by Kylie is 3 /10 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Kylie ran 7/10 of a mile and walked 2/5 of a mile. The distance will be calculated as,
Distance = ( 7/10 ) - ( 2 / 5)
Distance = ( 7 - 4 ) / 10
Distance = 3 / 10 miles
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I need help on solving this
Answer:
Irrational
Step-by-step explanation:
it equals 6.7 which is not a perfect square
Item 48 A couple has 5 children, all sons. If the woman gives birth to a sixth child, what is the probability that the sixth child will be a son
The probability that the sixth child will be a son is 50%. Each child, regardless of gender, has an equal chance of being born.
What is the probability that the sixth child will be a son?The probability of having a son as the sixth child can be calculated using the binomial formula. The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial.In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).Therefore, the probability of having a son as the sixth child can be calculated as follows:P(son) = (5 choose 6) x (0.5^6) = 0.015625
The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial. In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).Therefore, the probability of having a son as the sixth child can be calculated using the binomial formula as follows: P(son) = (5 choose 6) x (0.5^6) = 0.015625.
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Albert has 225 strawberry plants that he wants to plant in a square formation in evenly spaced rows. How many strawberry plants should he plant in each row?
Answer:
15
Step-by-step explanation:
to determine the number of plants per row, take the square root of 225
sqrt(225) = 15
There should be 15 plants per row
Answer:
Step-by-step explanation:
Since the formation of the strawberry plants should represent a square, it implies that the dimensions of the formation (i.e length and breadth) must be equal.
To achieve this, we have to calculate its square root as the formula for the area of any square is given as (side)^2.
Now, [tex]\sqrt{225}[/tex] = 15
implies that each as well as each column will contain 15 strawberry plants
What is the 4th interval called?
The 4th interval is called perfect. It is also called consonant.
What is interval in mathematics?
In mathematics, interval means the gap between two particular numbers in where some numbers can be located. The numbers that are kept between two particular numbers are all real and their ranges must be maintained between two particular number.
What is the 4th interval called?The 4th interval is called perfect. The fourth interval is always consonant because it is maintained by earlier third and next fifth.
Other perfect intervals along with fourth are unison, fifth and octave. The intervals listed above are all consonant. The fourth interval is called perfect because it behaves just like the unison interval.
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16 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?
How many quarts of soil are used to fill 3 flower pots?
9.6 quarts
First, find the unit rate, which is that when you divide 16 and 5 and you will get 3.2, then you multiply it with 3 for the 3 flower pots, and that's how you end up with the answer
which postulate proves these two triangles are congruent
The given triangles are congruent by SAS criteria.
What are congruent triangles?Congruent triangles have both the same shape and the same size.
Given are two right angled triangles as shown in the image.
In the right angled triangles -
Two corresponding sides are equal.
They both have one right angle common.
We can conclude them as congruent by SAS Rule.
Therefore, the given triangles are congruent by SAS criteria.
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Are 2 sides of an isosceles triangle?
Yes, the lengths of the two sides of an isosceles triangle are equal.
An isosceles triangle is a type of triangle that has two sides that are equal in length. The other side of the triangle can be either longer or shorter than the two equal sides. The two equal sides are called the legs, and the other side is called the base. The angles opposite the two equal sides are also equal in measure. Because of this, the two equal sides create an angle bisector that divides the base into two equal parts. This angle bisector forms two angles of equal measure as well. Thus, the two equal sides of an isosceles triangle are a defining feature of the shape.
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help for 100 points please please
Answer:
Step-by-step explanation:
Take the percentages for both 1992 and 2000 and make the average. that is your answer
What is the solution to 3 4?
The solution of the fraction 3/4 is 0.75
The term fraction is defined as represent the parts of a whole or collection of objects
Here we have given the fraction 3/4.
Now, we have to do the following steps in order to find the decimal equivalent for the fraction.
First of all we just need to divide the numerator by the denominator.
Then we get the fraction is 3/4 which means we need to divide: 3 ÷ 4.
The division process is illustrated on the following image.
Then the decimal equivalent to the fraction written as 3/4 is expressed as 0.75 in the decimal form.
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On a negatively skewed curve, which is true?
a.The median is lower than the mode which is lower than the mean. b.The mean, median, and mode are the same. c.The mean is lower than the median which is lower than the mode. d.The mode is lower than the mean which is lower than the median. e.The mean is lower than the mode which is lower than the median.
The mean of negatively skewed data is smaller than the median. If the data are displayed symmetrically, the distribution is not skewed regardless of tail length or thickness. So, option d. is correct.
What do you mean by skewed curve?A skew curve is a type of statistical distribution in which the data are unevenly distributed. This is often called an asymmetric distribution, meaning that the two halves of the curve look different. A skewed curve can be either positively or negatively skewed, depending on the direction in which the data points are shifted. Positively skewed curves tend to have long tails to the right, while negatively skewed curves tend to have long tails to the left. This type of distribution is common in real-world data such as income and wealth distributions.
A negatively skewed curve is indicated by the negative tail of the chart. This means that the data points are likely to be below average. Therefore, the mean is lower than the mode, which is lower than the median. The mean is the arithmetic mean of all data points, the mode is the most common value, and the median is the midpoint of the data points.
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May someone please help me.
Answer: x=9
Step-by-step explanation:
Here the given angles are,
50,80,6x-4
The sum of the angles of a triangle is 180 degrees and hence
50+80+6x-4=180
130+6x-4=180
126+6x=180
6x=180-126
6x=54
x=54/6
x=9
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What type of triangle is 35 55 90?
35-55-90 is a right-angle triangle because one of the angles is 90 degrees.
The explanation for a right triangle says that if one of the angles of a triangle is a right angle - 90º, the triangle is called a right-angled triangle or simply, a right triangle.
The right triangle formula can be presented in the following way: The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.
In a right triangle we have: (Hypotenuse)² = (Base)² + (Altitude)²
Properties of Right Triangle:
The largest angle is always 90º.The longest side is called the hypotenuse which is always the side opposite to the right angle.The measurements of the sides obey the Pythagoras rule.It cannot have any obtuse angle.Read more about the right-angle triangle:
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Fill in the blank so that products unloaded and time are in a proportional relationship.
A conveyer belt unloads 48 products in 6 minutes. The same conveyor belt unloads
⬜ products in 1 minute.
Answer: 8 products in 1 minute
Step-by-step explanation:
6 min=48 products
48/6=8
1 min= 8 products
Which point represents the value of –(–2) on the number line?
A number line has points A, negative 3, B, blank, 0, blank, C, 3, D.
Point A
Point B
Point C
Point D
The point that is -2 on the number line is point B. Option B
What is the number line?We know that the number line can be taken as a representation of the numbers. We ought to know that the numbers that we find on the number line are the numbers that are increasing to the right as shown.
In the question that we have, the task that is before us is that we should be able to locate the point on the number line that has been labelled as -2 on this the point B non the line. This is the point that is read off as -2.
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Which is a correct expansion of (4x + 1)(2x7 - 2)?
Answer:
So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2
Step-by-step explanation:
When expanding an algebraic expression like (4x + 1)(2x7 - 2), you can use the distributive property to find the product of each term in the first set of parentheses with each term in the second set of parentheses, and then add them together. The distributive property is the process of multiplying one term in the parentheses by each of the terms outside the parentheses.
Here is the correct expansion of (4x + 1)(2x7 - 2):
(4x + 1)(2x7 - 2) = 4x(2x7) + 4x(-2) + 1(2x7) + 1(-2)
= 8x^27 + -8x2 + 2x71 + -21
= 8x^27 + -8x2 + 2x7 + -2
= 8x^27 - 8x2 + 2x7 - 2
So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2
It's important to note that you can also use FOIL method which is the acronym for the steps of the distributive property, First, Outside, Inside, Last.
A line passes through 3,1 and 0,-3 whats the equation
Answer:
y=(this is a fraction) 4/3 times x-3
Step-by-step explanation: