Answer:
Se pueden hacer 5040 permutaciones con la palabra COLUMNA.
Explanation:
La palabara COLUMNA posee 7 letras, por lo que debemos hacer permutación sin repetición.
La formula es:
P_^{n}: n!
Donde n son todos los elementos.
A car shop has 12 mechanics, of whom 8 can work on transmissions and 7 can work on brakes. a) What is the minimum number who can do both? b) What is the maximum number who can do both? c) What is the minimum number who can do neither? d) What is the maximum number who can do neither?
Answer:both a and b are correct
Step-by-step explanation:
Edna bought a cube-shaped jewelry box that has 7-inch sides. The volume of a cube with side s is s3. What is the volume of the jewelry box?
The volume of the jewelry box will be;
⇒ 343 inch³
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Edna bought a cube-shaped jewelry box that has 7-inch sides.
And, The volume of a cube with side s is s³.
Now,
Since, Edna bought a cube-shaped jewelry box that has 7-inch sides.
Hence, The volume of the jewelry box = 7³
= 7 × 7 × 7
= 343 inch³
Thus, The volume of the jewelry box will be;
⇒ 343 inch³
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Question 2
State whether the triangle is acute,obtuse or right ???
Answer:
Step-by-step explanation:
We can solve this question by applying the Pythagorean theorem to the triangle (a^2+b^2=c^2). The Pythagorean theorem states that if the two shorter lengths are both squared and added the sum of those two numbers should be equal to the longest side squared. So 6 and 8 are the shorter sides of this triangle so we can plug either one in for either a or b, 6^2+8^2=9^2. Once you do that you have to square each individual number. You should get 36+64=81
36+64 is 100 and 100 does not equal 81 therefore this triangle is not a right triangle.
Answer:
Step-by-step explanation:
If a² + b² > c² , the triangle is acute,
If a² + b² = c² , the triangle is a right triangle,
If a² + b² > c² , the triangle is obtuse,
where "a" and "b" are the lengths of the 2 shorter sides of the triangle and "c" is the length of the longest side.
~~~~~~~~~~~~~
6² + 8² > 9² ⇒ given triangle is acute
Find the equation of the regression line for the data in the table.
X
y
25 6
44 13
46 14
52 10
57 13
Round your answers to the nearest tenth.
x + =
y
Submit
The equation for the regression line from the data is y = -0.98x + 56.8
Given data ,
To find the equation of the regression line, we will use the method of least squares. The regression line is represented by the equation:
y = mx + b
where m is the slope of the line and b is the y-intercept.
We need to calculate the values of m and b. Let's begin by finding the mean values of x and y:
Mean of x (x₁) = (6 + 13 + 14 + 10 + 13) / 5 = 12.2
Mean of y (y₁) = (25 + 44 + 46 + 52 + 57) / 5 = 44.8
Next, we calculate the deviations from the mean for both x and y:
Deviation from the mean of x (Δx) = x - x₁
Deviation from the mean of y (Δy) = y - y₁
Now, we calculate the sum of the products of the deviations from the mean:
Σ(Δx * Δy) = (6 - 12.2) * (25 - 44.8) + (13 - 12.2) * (44 - 44.8) + (14 - 12.2) * (46 - 44.8) + (10 - 12.2) * (52 - 44.8) + (13 - 12.2) * (57 - 44.8)
Σ(Δx * Δy) ≈ -51.6
Next, we calculate the sum of the squared deviations from the mean of x:
Σ(Δx²) = (6 - 12.2)² + (13 - 12.2)² + (14 - 12.2)² + (10 - 12.2)² + (13 - 12.2)²
Σ(Δx²) ≈ 52.8
Now, we can calculate the slope (m) using the formula:
m = Σ(Δx * Δy) / Σ(Δx²)
m ≈ -51.6 / 52.8 ≈ -0.98
Finally, we can calculate the y-intercept (b) using the formula:
b = y₁ - m * x₁
b ≈ 44.8 - (-0.98) * 12.2 ≈ 56.8
Hence , the equation of the regression line for the given data is:
y = -0.98x + 56.8
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stefon used an area model to help him find the quoteint of 513÷19 . He determined that his quotient is 27. look at his work below
To evaluate the quotient 513÷19 using the area model:
• The first thing Stefon did is to pick an easy multiple (x 10) of 19.
,• Next, the result is subtracted from 513 to get 323.
,• This is repeated to get a remainder, 133.
,• Since 133 is less than (10 x 19 =190), Stephon then used a lower multiple of 19, which is 7.
,• He subtracted the result and got a remainder of 0.
Finally, he added all the multipliers of 19.
\(10+10+7=27\)Thus, showing that the quotient 513÷19 is 27.
Which has the greater value? The sum of 89 and 45 or the difference between 89 and 45
Answer:
The sum of 89 and 45
Step-by-step explanation:
Because the sum of 89 and 45 is 134 and the difference of 89 and 45 is 44. And 134 > 44
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?
Answer:
DEF = 110
Step-by-step explanation:
Supplementary angles add to 180
3x+5 +2x = 180
Combine like terms
5x +5 = 180
Subtract 5 from each side
5x = 175
Divide each side by 5
5x/5 = 175/5
x =35
DEF = 3x+5
= 3*35 +5
= 105+5
= 110
HELP “Translate the following statement in algebraic expressions.”
Answer:
Step-by-step explanation:
It is translated exactly as you would read it. 4*y - 7
A ___ is a mathematical expression consisting of constant and variables combined with operations of addition and multiplication .
Answers:
A.polynomial
B.monomial
C.binomial
D.trinomial
How many elements would the sample space have if we conduct an experiment on the days of the
week?
There are 7 elements in the sample space for an experiment on the days of the week. They are {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday}.
What is a sample space?The set of possible outcomes of a random experiment is said to be the sample space of the experiment. It is denoted by "S".The sample size is the total number of outcomes in the sample space.The size of the sample space is used for calculating the occurrence of a particular event in the experiment i.e., the probability of the event.What is the sample space for the experiment on the days of the week?A week has 7 days. They are:
Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.
So, the random experiment on the days of the week has the sample space as
S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday}
Here each day in the sample space is said to be an element of the sample space.
So, there are 7 elements in the obtained sample space.
Therefore, the sample size n = 7.
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Homework part2 need help asap
The key features of the given quadratic functions are listed below.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.
For the quadratic function y = 3x² - 5, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, -5).
Domain: [-∞, ∞]
Range: [-5, ∞]
For the quadratic function y = -2x² + 12x - 15, the key features are as follows;
Axis of symmetry: x = 3.
Vertex: (3, 3).
Domain: [-∞, ∞]
Range: [-∞, 3]
For the quadratic function y = -x² + 1, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, 1).
Domain: [-∞, ∞]
Range: [-∞, 1]
For the quadratic function y = 2x² - 16x + 30, the key features are as follows;
Axis of symmetry: x = 4.
Vertex: (4, -2).
Domain: [-∞, ∞]
Range: [-2, ∞]
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nscribed and Circumscribed Circles: Tutorial
?
Answer the question below. Type your response in the
space provided.
In quadrilateral QRST, m¿Q > is 68°, m¿R is (3x + 40)º, and m¿T is (5x
52)°. What are the measures of ZR, ZS, and
values in that order with the measures separated by commas.
Done
Clear
The angle ∠R, ∠S, and ∠T for the quadrilateral are ∠R, ∠S, ∠T = 112°, 112°, 68°.
what are quadrilaterals?
A quadrilateral is a polygon with four sides, four vertices, and four angles.
It is formed by joining four non-collinear points. The sum of the interior angles of quadrilaterals is always equal to 360 degrees. The word quadrilateral is derived from the Latin words ‘Quadra’ which means four and ‘Latus’ means ‘sides’. Not all the four sides of a quadrilateral need to be equal in length. Hence, we can have different types of quadrilaterals based on sides and angles.
Five special quadrilaterals are shown below in the image, along with their definitions and pictures, and points for them to get proven.
Now,
TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:
∠R, ∠S, ∠T = 112°, 112°, 68°.
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Right question:-
"In quadrilateral QRST, m∠Q is 68°, m∠R is (3x + 40)°, and m∠T is (5x − 52)°. What are the measures of ∠R , ∠S , and ∠T ? Write the numerical values in that order with the measures separated by commas.
HELPPP PLSS ILL GIVE BRANILEST!!!
Answer:
either 22/60 or .3666 recurring
Step-by-step explanation:
All you are doing is converting minutes to hours basically, so all you have to do is divide 22 by 60.
rechna notices her car driving at 40km/hr and knows that at that speed she will reach home in 2 hours if she wants to reach her home only in an half hour by what percentage does she need to increase her speed choose the correct answer 50%,100%,200%,400%
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.
What is speed?Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.
To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.
If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.
By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.
Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.
The time taken to reach her destination while travelling at her initial speed is 2 hours.
To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.
Therefore, the percentage increase in speed
= (30/120) x 100
= 25%.
Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.
Therefore, the correct answer is 200%.
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A bag has eight balls labeled A, B C D, E, F. G, and H. One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing a letter from A to D. If there is more than one element in the set, separate them with commas. Sample space: l 00 X 5 Event of choosing a letter from 4 to D
The Event of choosing a letter from F to D is
n(A) = 4
What is an Event?A series of possible results from an experiment that have been given a probability is called an event. Separate events in an experiment may not be equally probable, since they may involve vastly dissimilar sets of outcomes, and a single result may be a component of many different events.
Given that a bag contains eight different balls, each of which is labeled from A to H. Given that a ball is selected at random, and the letter it lands on is written down as the result. Given that there is an equal chance of drawing any one of the balls, the sample space for drawing one ball is
Generally, the equation for S is mathematically given as
S = {A,B,C,D,E,F,G,H} and n(S) = 8
Therefore
G = The event of choosing a label from D to F
Where
F= {A,B,C,D}
Sample size
n(A) = 4
In conclusion,
n(A) = 4
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5.734 rounded to the nearest whole number
Answer:
6
Step-by-step explanation:
anything over 5 you round up.
7 is greater than 5 so you round up to 6
Answer: 5
Step-by-step explanation:
If the number is 5 or more, you round it up.
It the number is 4 or less, you leave it alone.
Using this process, we eliminate the numbers .734
We get the number 5 as our answer.
What is the value of x? Round only your final answer to the nearest hundredth.
The length of the hypotenuse is 12.52 yards.
Given that a right triangle, we need to find the value of the hypotenuse x,
Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.
We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.
Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.
We know that, the cosine of the angle is the ratio of the base to the hypotenuse,
So,
Cos 37° = 10 / x
x = 10 / Cos 37°
x = 12.52
Hence the length of the hypotenuse is 12.52 yards.
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According to Belgium's 2019 Labor data: Number of employed= 1200, Number of unemployed = 200, Adult population =3200. The Labor Force Participation rate of Belgium in 2019 was EXPLAIN WITH CALCULATION!!!
a.43.75%
b.13%
c.6.25%
d.37.5%.
Please show ALL YOUR WORK and how u came to the conclusion.
Answer:
A
Step-by-step explanation:
clearly, the equation has to allow t=0, and for that point we need to get 100% (of carbon-14) as result.
and so we also see, that the function calculates the % of the remaining carbon-14.
so, we need the desired outcome 60(%),
because 60 = 100 - 40.
and again, we need a function that shows t=0.
the only answer option fulfilling both criteria is A.
B divides in the exponent by t, so t=0 is not in the domain of the function.
and C and D aim for the wrong remaining percentage.
A freight train 22.5 miles per 60 miles to its destination how far from the destination will the train be in 2.5 hour
What is the mode of this data set?
{4, 15, 6, 11, 7, 4, 3, 14}
Answer:
4
Step-by-step explanation:
A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)
The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.
Answer:
45, 45 and 90 degrees
Step-by-step explanation:
Complete question
The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y. Find the measure of each angle
Let the sum of the angles be 180 degrees
X = x
Y = x
If Z is twice the measure of angle Y, then;
Z = 2x
Taking the sum
<X + <Y + <Z = 180
x+x+2x = 180
4x = 180
x = 180/4
x = 45
since Z = 2z
Z = 2*45
Z = 90
Hence the measure of the angles X, Y and Z are 45, 45 and 90 respectively
A fair die is rolled 12 times. Consider the following three possible outcomes:(i) 6 5 4 3 2 1 6 5 4 3 2(ii) 1 1 1 1 1 1 1 1 1 1 1(iii) 3 6 2 1 5 4 2 5 1 6 4 3Which of the following is true?A. The three outcomes are equally likely.B. It is absolutely impossible to get sequence (ii).C. (i) is more likely than (ii).D. (iii) is more likely than (i) or (ii).E. Both (C) and (D) are true.
Answer:
A. The three outcomes are equally likely
Step-by-step explanation:
Given
\((i)\ 6, 5, 4, 3, 2, 1, 6, 5, 4, 3, 2, 1\)
\((ii)\ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1\)
\((iii)\ 3, 6, 2, 1, 5, 4, 2, 5, 1, 6, 4, 3\)
Required
Which of the options is true
The sample space of a fair die is:
\(S = \{1,2,3,4,5,6\}\)
And the probability of each (in a single roll) is:
\(P(x) = \frac{1}{6}\)
In 12 rolls, the probability would be:
\(P(x) = (\frac{1}{6})^{12}\)
What this means that the elements of the sample space have equal probability of showing up.
So, events (i), (ii) and (iii) are equally likely
Find the difference: 500,000 - 184,875
Answer:
315,125
Step-by-step explanation:
Given f(x) = 3x2 + x and g(x) = 2x. What is Limit of g (f (x)) as x approaches negative 4?
44
88
104
188
Answer: 88
Step-by-step explanation:
got it right 2022 edge
Which pair of expressions represents inverse functions?
4x-3x/4x-2 and x+2/x-2
4x+2/x-3 and 5x+3/4x-2
2x+5 and 2+5x
x+3/4x-2 and 2x+3/4x-1
Answer:2 hope this helps it was right on my test
Step-by-step explanation: it was right on the test i took
Please help, I will give five stars.
Answer:
C
Step-by-step explanation:
So I don’t know if you don’t know how to do it but imagine right to explain it ... You good have to add oh yeah P2 together and all numbers together and all the p together see this is why I did use different colors. Have an amazing day :)
Let A ={1, 2, 3, 4, 5}, and let R be the relation on A given by
R= {(x, y): x y and x is prime)
i. List the elements of R
ii. Give matrix representation of R
iii. Give di-graph of R.
iv. Check whether R is reflexive, symmetric, transitive, equivalence, anti-symmetric,
asymmetric and irreflexive with reasons.
Asymmetric: Since, for instance, (2,3) is in R but (3,2) is not, R is not asymmetric. No element in A is connected to itself under R, making R irreflexive.
describe range.The collection of output values that such a function of relation can produce is referred to as the range in mathematics. It is the distinction between the largest or smallest values within an ensemble of data or a collection of all conceivable function or relation output values.
In other terms, it is the range of possible values for a variable. For instance, the range is 21 - 3 = 18 if the integers are 3, 7, 12, 15, and 21. The set of all value of y which may be produced by a function f(x) for the given subject area of x values is known as the range.
given
We will now examine the many characteristics of the relation R:
As no element in A is connected to itself under R, R is not reflexive. For instance, R does not support (2,2).
R is not symmetric since, for instance, (3,2) is not in R yet (2,3) is.
R is transitive because, for instance, the existence of (2,3) and (3,5) in R entails the existence of (2,5) in R.
Equivalence: As R is not reflexive or symmetric, it is not an equivalence relation.
Asymmetric: Since, for instance, (2,3) is in R but (3,2) is not, R is not asymmetric. No element in A is connected to itself under R, making R irreflexive.
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