Answer:
Exact Form: x=-(3±2√6)
Decimal Form: 7.89, 1.89
Step-by-step explanation:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Show that if AB = AC and A is nonsingular, then the cancellation law holds; is, B = C.
When AB = AC and A is nonsingular, then the cancellation law holds; is, B = C. The statement is true.
In matrix algebra, the cancellation law is a crucial property to know. It states that if AB = AC, then B = C when A is a nonsingular matrix.
The given statement is true, which means that if AB = AC and A are nonsingular, then B = C. The cancellation law in matrix algebra is a property that helps in solving linear equations involving matrices. It states that if AB = AC and A is a nonsingular matrix, then B = C.
Therefore, we can say that if AB = AC and A is nonsingular, then B = C is true.
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(L3) A segment that extends from the vertex of a triangle to the opposite side and is perpendicular to the side is called the _____ of the triangle.
(L3) A segment that extends from the vertex of a triangle to the opposite side and is perpendicular to the side is called the incenter of the triangle.
The incenter of a triangle is an important point that can be constructed by drawing a perpendicular line from each vertex of the triangle to the opposite side, and then finding the intersection of these lines. This intersection point is equidistant from the three sides of the triangle, and is therefore the center of the circle that can be inscribed within the triangle.
The incenter also has the property that it is the point of concurrency of the angle bisectors of the triangle, meaning that it is equidistant from the three angles of the triangle as well. The incenter is used in a variety of geometric constructions and proofs, including the construction of the inscribed circle and the solution of problems involving the ratio of the sides of a triangle.
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13.
What is the image of E for a dilation with center (0,0) and a scale factor of 6?
(-30, 1)
(30, 6)
(-30, 6)
(30, -1)
Answer:
1- -5, 7
2- 5,12
3- -5,0
4- 5,-7
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
-30,6
:)
this diagram shows a right angled triange what is the value of h correct your answer to 1 decimal place
Answer:
8.2 cm
Step-by-step explanation:
The given shows us that we will be using CAH from SOH CAH TOA where
cos theta = adjacent / hypotenuse
in this case it will be
. cos 47 = h / 12
we want h to be the subject so we will multiply both sides by 12
. h = cos 47 * 12
. h = 8.184
now all you have to do is round to 1d.p
. h = 8.2cm
Someone pls pls pls help me with this, I dont understand it Btw I accidentally pressed b so dont pay attention to that
Answer:
Step-by-step explanation:
ol
lynn and dawn tossed a coin 60 times and got heads 33 times. what is the probability of tossing heads using lynn and dawn's results?
Answer:
55%
Step-by-step explanation:
33 is 55% of 60
and 11/20 = 33/60=0.55
i need help with #2 please someone help
Answer:
1139621600
Step-by-step explanation:
The answer is 1139621600, because if it is in 2001. All you have to o is multiply by 4. I don't know if this is correct. If they gave you another year and another set of numbers I would be able to clarify it more. So...if this isn't correct. I'm so sorry.
If you think its incorrect please say so in comments below. Any questions? Say them below as well.
I hope this helped.
:)
Signed,
tyreefrankinjr
Mr. fitzpatrick is taking his math class to see a pearl jam concert because they have worked so hard this week in class. he purchases 22 tickets for a total of $265. tickets cost $10 for students and $15 for adults. some students must pay adult prices because they are over 18 years of age. what are the number of student tickets purchased and the number of adult tickets purchased
Mr. Fitzpatrick bought 9 adult tickets and 13 children's tickets.
It is given that Mr. Fitzpatrick bought 22 tickets
The tickets collectively cost him $265
The student tickets cost $10 while adult tickets cost $15
Let the no. of adult tickets sold be x
Let the no. of children's tickets sold be y
Therefore we get the equations
x + y = 22 [1]
15x + 10y = 265 [2]
or, 5x + 10x + 10y = 265
or, 5x + 10(x + y) = 265
from equation [1] we get
5x + 220 = 265
or, 5x = 265 - 220
or, 5x = 45
or, x = 9
Therefore,
y = 22 - 9
= 13
Therefore he bought 9 adult tickets and 13 children tickets.
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Which FAR Part 77 imaginary surface has slopes that may range from 20:1 to 50:1?
The primary surface
The horizontal surface
The approach surface
The conical surface
The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.
The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.
Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.
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What are the steps in understanding the distribution of the differences in the sample means?
The steps in understanding the distribution of the differences in the sample means are-
Identify several pairs of samplesCompute the mean of each sampleDetermine the difference between the sample meansStudy the distribution of the differences in the sample meansWhat is sample mean?The sample mean is a measure of the data's center. The sample mean is used to estimate the mean of any population.
Some key features regarding the sample mean are-
Many times, we are expected to guess what the entire population seems to be doing, and what all of the elements are going on within the population, before surveying all of the population. In such instances, the sample mean can be informative. The sample mean is the average value discovered in a sample. The estimated sample mean is used to calculate the variance and thus the standard deviation.The formula for sample mean is-
Sample Mean = (Sum of terms) ÷ (Number of Terms)
\(\frac{\sum x_{i}}{n}\) = \(\frac{\left(x_{1}+x_{2}+x_{3}+\cdots+x_{n}\right)}{n}\)
Where,
\(\sum x_{i}\) = sum of the given data
n = number of the data
Therefore, the steps in understanding the distribution of the differences in the sample means is given.
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A ladder 24 m long is placed on the ground in such a way that it touches the top of a vertical wall 15 m high. Find the distance of the foot of the ladder from the bottom of the wall to the nearest tenth of a meter.
The distance of the foot of the ladder from the bottom of the wall is approximately 21 meters (to the nearest tenth of a meter).
what is Pythagorean theorem?
The Pythagorean theorem is a fundamental concept in mathematics that describes the relationship between the three sides of a right triangle. It states that in any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In mathematical terms, the Pythagorean theorem can be expressed as:
\(a^2 + b^2 = c^2\)
where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.
According to the question:
In this problem, the ladder, the wall, and the ground form a right triangle, where the ladder is the hypotenuse, the wall is one leg, and the distance from the foot of the ladder to the wall is the other leg. Let's call this distance "x".
Using the Pythagorean theorem, we can write:
\(x^2 + 15^2 = 24^2\)
Simplifying and solving for x, we get:
\(x^2 = 24^2 - 15^2\)
\(x^2 = 441\)
\(x = \sqrt{441}\)
\(x = 21\)
Therefore, the distance of the foot of the ladder from the bottom of the wall is approximately 21 meters (to the nearest tenth of a meter).
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Miss Fancy goes to the spa for the day. Her total cost for the day is $135. She wants to leave a 15% tip. What is the total amount she will pay for her spa day?
$ 114.75
$145
$155.25
$150.25
it's one of these , which one is it , you also have to show how you did it to get points .
in the miss america pageant, 51 contestants must be narrowed down into 10 finalists. how many ways can this occur?
Total ways can occur is 19,653,800.
What is Combination?
Combinations are ways to choose elements from a larger set in mathematics where the order of the elements is irrelevant. Repetition is prohibited and the order of the elements does not matter in a combination, which is a subset of items.
The number of combinations of 51 things chosen 10 at a time, represented as C, determines the number of possibilities to choose 10 finalists from 51 contestants (51, 10).
Combinations are calculated as follows: C (n, k)=\(n! / (k! (n-k)!).\)
Consequently, there are three options to choose 10 finalists from the pool of 51 applicants:\(C(51, 10) = 51! / (10! (51-10)!) = 51! / (10! 41!) = 19,653,800.\\\)
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in the miss America pageant, 51 contestants must be narrowed down into 10 finalists. The total number of ways that can occur is 19,653,800.
What is Combination?
In mathematics, combinations are strategies to select components from a bigger set where the order of the elements is unimportant. In a combination, which is a subset of items, repetition is not permitted and the position of the parts is irrelevant.
The possibility of selecting 10 finalists from 51 contenders is determined by the number of combinations of 51 things picked 10 at a time, denoted as C. (51, 10).
Combinations are calculated as follows: C (n, k)= \(\frac{n!}{k!(n-k)!}\)
Consequently, there are three options to choose 10 finalists from the pool of 51 applicants: 19653800
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Which of the following is true about the median?
Multiple Choice
It is affected by extremely large or small values
It can be computed for ordinal level data and higher
It can be computed for nominal level data and higher
It is the value that occurs most often
The correct answer is: It can be computed for ordinal level data and higher.
The median is a measure of central tendency that represents the middle value in a dataset when the data is arranged in ascending or descending order. It is not affected by extremely large or small values, so the statement "It is affected by extremely large or small values" is false.
The median can be computed for ordinal level data and higher. Ordinal data is a type of data that has a natural order or ranking, such as rating scales or survey responses with options like "strongly agree," "agree," "neutral," "disagree," and "strongly disagree." In such cases, the median can be calculated by arranging the data in order and selecting the middle value.
On the other hand, the median cannot be computed for nominal level data, which is a type of data that does not have any natural order or ranking. Nominal data includes categories or labels without any inherent order, such as colors or names. Therefore, the statement "It can be computed for nominal level data and higher" is false.
To summarize, the median is a measure of central tendency that can be computed for ordinal level data and higher but not for nominal level data. It is unaffected by extreme values and represents the middle value in a dataset.
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Make m the subject of the equation
(a) 5(m + y) = 4(m - 3y)
Answer:
m=(-5y-3y)
Step-by-step explanation:
5m+5y=4m-3y
5m-4m=-5y-3y
m(5-4)=-5y-3y
m=(-5y-3y)/1
When a graphing calculator was used to find the exponential regression equation for some exponential data, the following information was returned
ExpReg
y=a*b^x
a = 7.354734813
b = 10.57922764
r^2= .9976376934
r = .9988181483
What is the equation of the exponential regression equation? Round all numbers in your answer to three decimal places.
The exponential regression equation that was obtained from the graphing calculator is y = 7.355 * (10.579)ˣ
The correct option is D.
What is the equation of the exponential regression equation?Step 1: Exponential regression equation:
The exponential regression equation provided by the graphing calculator is given as:
y = a * bˣwhere the values of a and b represent the coefficients in the equation, and x represents the independent variable.
Step 2: The information that was returned by the calculator is;
a = 7.354734813
a = 7.355 rounded to 3 decimal places
b = 10.57922764
b = 10.579 rounded to 3 decimal places
Step 3:
Substituting the values of a and b in the exponential regression equation by the graphing calculator;
the exponential regression equation is:
y = 7.355 * 10.579ˣ rounded to 3 decimal places
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What do 32x4x3x2÷5 equal 20 points and brainliest if right.
Answer:
153.6
Step-by-step explanation:
Answer:
153.6
Step-by-step explanation:
32x4=128
128x3=384
384x2=768
768/5=153.6
Given lines l,m,and n are parallel and cut by two transversal lines, find the value of x. Round your answer to the nearest tenth if necessary.
The requried value of x between lines m and n is 59.5.
What are the ratio and proportion of intersecting lines?When two lines intersect at a point, they form four angles around the intersection point. The pairs of opposite angles and sides are similar, meaning they have the proportionate measure.
As shown in the figure,
lines l,m, and n are parallel and cut by two transversal lines,
following the property of proportion of transversal line on a parallel line,
12/51 = 14/x
Simplifying the above expression,
x = 51 * [14/12]
x = 59.5
Thus, the requried value of x between lines m and n is 59.5.
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With the airplane loaded as follows, what action can be taken to balance the airplane? front seat occupants = 411 lb rear seat occupants = 100 lb main wing tanks = 44 gal
The airplane will become balanced if we add a 100- pound weight to the baggage compartment.
Why should the weight on the airplane be balanced?An airplane is used to convey people and goods from one point to another by air. The airplane must be airlifted. This means that the airplane must be balanced while on air. If the airplane is not balanced, it may be difficult to control.
Looking at the situation of this airplane, the airplane will become balanced if we add a 100- pound weight to the baggage compartment.
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Jeff spent $50 on gifts for his tamily. The first 2 items cost a total of $15 and then he bought 2 more for a total of $20. How many additional gifts did Jeff buy if their average cost was $10 each?
The number of additional gifts Jeff can buy with the remaining cost is 1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
As per the given,
Total cost = $15 + $20 = $35
Total spent = $50
Remaining = $50 - $35 = $15
Since one gift cost $10
Thus, 15/10 = 1.5 since the number of gifts will be the whole number so it will be round to bottom 1 gift.
Hence "With the money still available, Jeff can purchase 1 more present".
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the digits {1,2,...,5} are randomly arranged in a row. how many ordered elements are in the sample space?
The digits {1,2,...,5} are randomly arranged in a row so total 5 ordered elements are in the sample space.
The digits {1,2,...,5} are randomly arranged in a row.
We have determine how many ordered elements are in the sample space.
The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the choosing of items or things from a bigger group when the order doesn't important.
So, we use the combination formula
\(^nC_{r} = \frac{n!}{r!(n-r)!}\)
Total digits are 5. So,
Sample space = \(^5C_{1}\)
Sample space = \(\frac{5!}{1!(5-1)!}\)
Sample space = \(\frac{5!}{1!4!}\)
Sample space = \(\frac{5\times 4!}{1\times 4!}\)
Sample space = 5
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Fulgurites are pieces of glass in the shape of a cylinder produced when lightning strikes sand. A student found a fulgurite with a height of 21 inches and a diameter of 6 inches.
The volume of the fulgurite, a glass cylinder with a height of 21 inches and diameter of 6 inches, is 189π cubic inches.
To calculate the volume of a cylinder, we use the formula:
V = \(\pi r^{2} h\)
where V is the volume, h is the height, and r is the radius of the cylinder.
First, we need to find the radius of the fulgurite. The diameter is given as 6 inches, so the radius is half of that:
r = \(6 / 2 = 3 inches\)
Next, we can plug in the values for the radius and height into the formula:
V = \(\pi (3 inches)^2(21 inches)\)
Simplifying this expression, we get:
V = \(\pi (9 inches^2)(21 inches)\)
V = 189π cubic inches
Therefore, the volume of the fulgurite is 189π cubic inches. This is an exact value, and it cannot be simplified further unless we use an approximate value for π.
The formula for the volume of a cylinder, V = \(\pi r^2h\), is used to find the amount of space inside a cylindrical object. In the case of the fulgurite, we can use this formula to calculate the volume of the piece of glass. The height of the fulgurite is given as 21 inches, which is the distance between the two circular bases of the cylinder. The diameter is given as 6 inches, so the radius is 3 inches. We can plug these values into the formula to find the volume of the fulgurite, which is 189π cubic inches. This tells us how much space the piece of glass takes up, and it can be useful for understanding the size and shape of the fulgurite.
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The complete question is:
Glass fragments in the shape of a cylinder are called Fulgurites when lightning strikes sand. A student discovered a fulgurite that measured 21 inches height and 6 inches in diameter.
What is the fulgurite's cubic inch volume?
A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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\(\frac{4}{\sqrt{5}-1 } -\frac{4}{\sqrt{5}+1\\ }\)
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\(join \: bunny \: squad\)
\(join \: bunny \: squad\)
btw,, the formula you insert is incorrect:)
Answer:
haysst pa brainliest po
salamat sa ponts
solve the system of equations shown below. 2x-6=-12 x=2y=14
Answer:
please the question is not clear
12-3.89
please show work it’s for a test.
Answer:
8.11
Step-by-step explanation:
12-3=9
9-0.8= 8.2
8.2=8.20
8.20-9=8.11
Answer:
8.11
Step-by-step explanation:
12.00
- 3.89
--------------
8.11
unit 7 polygons and quadrilaterals homework 3 rectangles
If you are trying to find the missing measures of a rectangle, you should know that all rectangles have four sides, and each side has a length.
In other words, if you have a rectangle, two of the angles must be 90 degrees, and the other two angles must also be 90 degrees. To find the missing measures of a rectangle, you need to use the properties of rectangles.
First, find the length of each side. The length of all sides of a rectangle should be the same. Then, calculate the area of the rectangle. You can do this by multiplying the length of one side with the length of the other side.
Finally, you can use the Pythagorean Theorem to find the missing measures.
The Pythagorean Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Using this theorem, you can find the length of the hypotenuse of the rectangle.
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Complete Question:
if each quadrilateral is given, then define the steps to find the missing measures a rectangle.
PLEASE HELP ME IM BEING TIMED
The domain of the function is defined as 0 ≤ x ≤ 4.
option A is the correct answer.
What is the domain of a function?A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.
So the domain of a function is the set of x values, while the range of a function is the set of y values.
From the given statement, the range of the function is defined as;
y = vt
where;
v is the speedt is the time of motiony = 60 mph x 4 hr
y = 240 miles
From the given statement, the domain of the function is defined as;
0 ≤ x ≤ 4
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use the binomial theorem to expand the following expression. (u − 3v)4
The binomial theorem, we can expand (u - 3v)⁴ as follows: (u - 3v)⁴ = 1u⁴ + 4u³(-3v) + 6u²(-3v)² + 4u(-3v)³ + 1(-3v)⁴= u⁴ - 12u³v + 54u²v² - 108uv³ + 81v⁴ and the coefficient of x⁷ is 2187.
(a) Using the binomial theorem, we can expand (u - 3v)⁴ as follows:
(u - 3v)⁴ = 1u⁴ + 4u³(-3v) + 6u²(-3v)² + 4u(-3v)³ + 1(-3v)⁴
= u⁴ - 12u³v + 54u²v² - 108uv³ + 81v⁴
(b) To find the coefficient of x⁷ in the expansion of (3x + 4)¹⁰, we need to look at the term that contains x⁷, which is the term where x has a power of 7 and the constant has a power of 3:
(3x)⁷(4)³ = 2187x⁷
So the coefficient of x⁷ is 2187.
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Complete question:
Use the binomial theorem to expand the following expression. (u - 3v)⁴
Find the coefficient ofx7
Find the value of x (need help)
Answer:
x=16
Step-by-step explanation:
angle LMN+ angle LNM+ angle MLN=180^
angle LMN+60^ +60^ =180^
angle LMN=60^
overline LN sin( angle LMN) = overline LM sin( angle LMM)
16/(sin(60 degrees)) = x/(sin(60 degrees))
x = 16