The value of A in A## = ( A - 2 )## if x## = x² - x is 2 Or 3.
What are coding and decoding?Topics in the reasoning part include coding, decoding, and reasoning. One of the most frequently occurring portions in all of the important competitive exams specifically created for employment procedures and higher education is this one. Because Coding-Decoding and Reasoning problems can be difficult for some applicants to complete, they avoid them and lose some quick and simple marks.
Given, x## is defined as x## = x² - x.
Therefore,
A## = (A - 2)##
= (A - 2)² - (A - 2).
= A² - 4A + 4 - A + 2.
= A² - 5A + 6.
Let, A² - 5A + 6 = 0.
A² - 3A - 2A + 6 = 0.
A(A - 3) - 2 (A - 3) = 0.
(A - 3)(A - 2) = 0.
A = 3 Or A = 2.
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How do you make an XY graph in Excel?
Select the data for which you want to create a chart slope . Click INSERT > Recommended Charts. On the Recommended Charts tab, scroll through the list of charts that Excel recommends for your data
When you find the chart you like, click it > OK.
The formula for a horizontal line at y=4 is as follows: There is no slope. 4.0 is the y-intercept.
What are the Slope and intercepts ?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
The slope expresses how quickly the dependent variable changes when the independent variable changes. The Greek capital letter D or D is frequently used by mathematicians and economics to represent change. Slope contrasts the change in the vertical axis, y, with the change in the horizontal axis, x.
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The manufacturer's price for a Jinko car is $x
Ben was given a 7% discount on the manufacturer's price when he bought a Jinko.
Ben paid $23 622 when he bought his Jinko.
(a) Calculate the value of x.
Answer:
x = $25,400 [the original price of the Junko car]
Step-by-step explanation:
The price Ben paid, $23,622, is after the 7% discount. Let x be the original price of the Jinko car. Ben's prices reflect a 7% discount:
x*(1-0.07) = $23,622 [The expression (1-0.07) means the original price, 1, is reduced by 7%, -0.07, to give the final price]
(0.93)x = $23,622
x = $25,400
What is the length of 3rd side of each triangle?
The sum of squares of two sides is equal to the square of the third side.
Finding the Third Side of a Triangle with Two Sides
Let's assume that the triangle is right-angled, as the third side of a right-angled triangle can only be found when the other two sides are known.
According to Pythagoras' Theorem, the sum of squares of two sides is equal to the square of the third side.If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)If leg b is unknown, then: b = √(c² - a²)For hypotenuse c missing, the formula is: c = √(a² + b²)A right-angle triangle is what?
This particular sort of triangle adheres to the Pythagoras theorem and may be calculated using the trigonometry tool.
We are aware that the right-angled triangle follows Pythagoras' Theorem.
According to the Pythagorean Theorem, the third side's square equals the sum of the first two sides' squares.
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The complete question should be:
What is the length of 3rd side of a triangle?
A function multiplies its input by 3/4 then adds 7 to get its output. Use function notation to represent this function.
f(x)=_____
In function notation, the function is represented as f(x) = (3/4)x + 7.
In function notation, the function is represented by the letter "f" followed by the input value inside parentheses. The input value is typically represented by the letter "x". In this case, the function takes "x" as its input and performs the operation of multiplying it by 3/4 and then adding 7 to get the output. We can represent this function using the equation f(x) = (3/4)x + 7.
It's worth noting that the function notation is a way to express a mathematical relationship between two variables, the input variable (x) and the output variable (f(x)), in which every input value of x corresponds to exactly one output value. This equation represents the same function regardless of the input value, and it can be used to find the output for any input value by simply substituting it in the equation.
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x:(x+3) = 2:3
work out the value of x
Answer:
x = 6
Step-by-step explanation:
x:(x + 3) = 2:3
[tex] \frac{ \\ x}{x + 3} = \frac{2}{3} [/tex]
cross multiply
3x = 2(x + 3)
3x = 2x + 6
subtract (2x) from both sides
3x – 2x = 2x – 2x + 6
x = +6
x = 6
On a school trip the ratio of the number of teachers to the number of students is
1:15
The ratio of the number of male students to the number of female students is 7:5
Work out what percentage of all the people on the trip are female students.
Give your answer correct to the nearest whole number.
(3 marks)
Answer: 39%
Step-by-step explanation:
Given
The ratio of the number of teachers to the number of students is 1:15.
and the ratio of the number of male and female students is 7:5
Suppose the number of teachers is x. So, students become 15x
For the ratio of male to female, assume male is 7y, so female is 5y
The sum of the male and female students comprises the whole student community
[tex]\therefore 15x=7y+5y\\15x=12y\\5x=4y[/tex]
The percentage of female students on the trip is
[tex]\Rightarrow \dfrac{5y}{x+15x}\times 100\\\\\Rightarrow \dfrac{5y}{16x}\times 100\\\\\Rightarrow \dfrac{5\times \frac{5}{4}x}{16x}\times 100\\\\\Rightarrow \dfrac{625}{16}=39\%[/tex]
Which tatement correctly compare the meaure of center of the data in the dot plot
A statement that correctly compares the measures of center in the two sets of data is: Both the mean and median are greater for Plot A than for Plot B.
The correct answer is an option (A)
Consider plot A.
The data value represented on the dot plot:
3, 4, 4, 5, 5, 6, 6, 7, 7, 10
Using the formula of mean, the mean of Plot A would be:
mean = (3 + 4 + 4 + 5 + 5 + 6 + 6 + 7 + 7 + 10) / 10
mean = 57/10
mean = 5.7
The middle value of the data is: 5, 6
So, the median is:
Median = (5 + 6)/2
= 11/2
= 5.5
Consider plot B.
The data value represented on the dot plot:
3, 4, 4, 5, 5, 5, 6, 6, 6, 7
mean = (3 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7)/10
mean = 51/10
mean = 5.1
The middle value of the data is: 5, 6
So, the median is:
Median = (5 + 5)/2
= 5
Hence, both the mean and median are greater for Plot A than for Plot B.
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The complete question is:
Which statement correctly compares the measures of center in the two sets of data? Both the mean and median are greater for Plot A than for Plot B. Both the mean and median are greater for Plot B than for Plot A. Plot A has a greater median than Plot B, but Plot B has a greater mean. Plot B has a greater median than Plot A, but Plot A has a greater mean.
Which inequality describes the graph?
Answer:
y >_ 2x-2
the 3rd one
Step-by-step explanation:
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If you place a 39-foot ladder against the top of a 23-foot building, how many feet will
the bottom of the ladder be from the bottom of the building? Round to the nearest
tenth of a foot.
Answer:
31.5 ft
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
Plug in the knowns
a² + 23² = 39²
Subtract 23² from both sides
a² = 39² - 23²
a² = 1521 - 529
a² = 992
Take the square root of both sides
a = 31.496031496
Rounded
a = 31.5 ft
The bottom of the ladder from the bottom of the building will be equal to 31.5 ft.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given instructions in the question,
Use the equation of Pythagoras's theorem
a² + b² = c²
Put in the known values in the above equation,
a² + 23² = 39²
a² = 39² - 23²
a² = 1521 - 529
a² = 992
a = √992
a = 31.496 or,
a = 31.5 ft
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HELP ME NOW PLEASE DESCRIBE AND CREATE FRACTION PATTERNS
find the rule
1 3/8, 1 3/4, 2 1/8, 2 7/8
The missing term of the arithmetic sequence is 2 1/2
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the arithmetic sequence be represented as A
Now , the equation will be
A = 1 3/8 , 1 3/4 , 2 1/8 , x , 2 7/8
The first term a₁ = 1 3/8
The second term a₂ = 1 3/4
The common difference d of the arithmetic sequence d = second term - first term
Common difference d = 1 3/8 - 1 3/4 = 3/8
Now , the fourth term of the arithmetic sequence is given by
Tn = a + (n - 1) d
Substitute the values in the equation , we get
a₄ = 1 3/8 + ( 4 - 1 ) ( 3/8 )
a₄ = 11/8 + 9/8
a₄ = 20/8
a₄ = 2 4/8
a₄ = 2 1/2
Therefore , the fourth term is 2 1/2
Hence , it is an arithmetic sequence and the fourth term is 2 1/2
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Factor by gcf 6x2+3x+21 The 2 is supposed to be small.
Given:
The expression is:
[tex]6x^2+3x+21[/tex]
To find:
The factor of the given expression by GCF.
Solution:
We have,
[tex]6x^2+3x+21[/tex]
Here, 3 is the greatest common factor (GCF) of [tex]6x^2,3x,21[/tex].
Taking out GCF, we get
[tex]6x^2+3x+21=3(2x^2+x+7)[/tex]
Therefore, the required factor form of the given expression is [tex]3(2x^2+x+7)[/tex].
A) 2
B) 4
C) 10
D) 6
Answer:
this is B 4
Step-by-step explanation:
round 3.967 to the hundredth place
Is the simplified form of 2 square foot 3. Square Foot 12 rational
The simplified form of the given radical expression is rational.
What is exponent ?Exponent can be defined as the method of expressing large numbers in terms of powers. Exponent refers to how many times a number multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6.
We are asked to determine whether the simplified form of 2√3.√12
To solve our given problem we will use exponent property for radicals
√m.√n = a√m.n
2√3.√12=2√3.12
2√3.√12=2√36
2√3.√12=2×6
2√√3.√12=12
The simplified form of the given radical expression is rational.
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Since our given radical expression simplifies to a rational, therefore, our answer is yes
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If the amount of space between support towers is between 200 and 300 feet, determine the number of towers you will use.
SHOW ALL WORK TO EARN CREDIT.
I need help with this question
Answer:
18 is the answer
Step-by-step explanation:
because you times 2 my 9
Answer:
18
Step-by-step explanation:
9 x 2 9 + 9 ? u good people ?
Deshaun deposits $4,000 into an account that pays simple interest at an annual rate of 6% . He does not make any more deposits. He makes no withdrawals until the end of 2 years when he withdraws all the money.
After 2 years, Deshaun will have earned $4,000 * 6% = $240 in interest.
The total amount of money in the account at the end of 2 years will be $4,000 + $240 = $4,240. This is the amount Deshaun will withdraw.
a forest covers 59,000 acres. A survey finds that 0.6% of the forest is old oak trees How many are acres of old oak trees are there?
Answer:
354acres
Step-by-step explanation:
Total acre = 59000
Percentage of old oak acre trees is 0.6%
Therefore, the acres of old trees are calculated:
59000 * (0.6÷100) = 354acres
Can someone please help me
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
This home work is due tonight but I don’t understand anything? Pls help!
Total distance travelled by the family in the truck is 497.98 miles
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
The rental of the truck has a base cost of $49.95, and $1.19 per mile. The average gas mileage is 18 miles per gallon.
Let us assume the total distance travelled was x miles, hence:
Total gas consumed = x miles / 18 miles per gallon = x/18 gallons
The cost is $3.89 per gallon, hence:
Total cost of gas = $3.89 per gallon * x/18 gallons = 3.89x/18
Total cost of journey = 1.19x + 3.89x/18 + 49.95 = 2531x/1800 + 49.95
If $724.85 was charged, hence:
724.85 = 2531x/1800 + 49.95
x = 497.98
Total distance is 497.98 miles
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A circle has centre C and radius 4 cm.
The diagram shows the circle with a point
D which lies on the circle. The tangent at D
passes through the point E. EC = √65 cm.
Find
a) the size in radians of angle DCE
b) the area of the shaded region
Step-by-step explanation:
EC = 165 cm (Given) Tangent of circle also makes 90°.
a) sind = Perpendicular Hypotenuse = CD = EC 165 => 0 = Sin = 0.519 ~ 0.52 =29.7448 ~ 29.75° =<E
By angle sum property of triangle. <D+<E+ <C = 180°
90° + 29.75 + LC = 180°
<C = 180-90-29.75 = 60.25° <C= 60.25°
<DCE = <C = 60.25 x π/180 = 1.052 radians.
(b) Area of triangle DCE = 1/2 x b x h = 1/2 x ED X 4
ED² + CD² = EC² ED² + 4² = (√65)² => EC² = 65-16 = 49 ED=7
Area = 1/2 x 7 x 4 = 14 cm²
Area of sector a π x 4²x 60.25/360 = 8.4125 cm2
Area of shaded region= Area ADCE Area of sector -
= 14-8.4125 = 5.5875 cm²
(a) <DCE = 1.052 radians b) Area shaded of region = 5.5875cm²
Find the length of segment JD
solve the system using elimination method: -6x-8y=10. 2x-4y=10. i need the whole problem solved, i need to show the problem, and i dont want any links. please help, thank you so much, no links and I need the problem shown
Answer:
(5,0)
Step-by-step explanation:
-6x-8y=10
(2) 2x-4y=10 (2)
4x-8y=20
add the systems
2x=10
divide 10 by 2
x=5
substitute 5 into x
2(5)-4y=10
10-4y=10
-4y=
y=0
I need to factor completely to get an answer for
n²-10n+24
I need to get factors in parenthesis like (n +/- #) (n +/- #)
I need it before tomorrow
Answer:
(n - 6)(n -4)
Step-by-step explanation:
Find two numbers that add to - 10 and multiply to +24.
In this case, -6 * -4 satisfies these requirements.
What is the value of x in the system of equations shown below?
5x + 4y = 1
y = 1 - 3
A guy wire is attached to an upright pole 6 meters above the ground. If the wire is anchored to the ground 5 meters from the
base of the pole how long is the wire? Give your answer to two decimals.
A guy wire is attached to an upright pole 6 meters above the ground. If the wire is anchored to the ground 5 meters from the base of the pole 7.81 m long is the wire. This can be solved by using the concept of Pythagoras theorem.
What is Pythagoras theorem?The widely accepted geometric principle known as the Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle).
The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem. The perpendicular, base, and hypotenuse of this triangle are its three designated sides.
Let, assume ΔABC is a right-angled triangle
where, AC = 6m be the pole.
AB = 5m is the length of a guy wire and is attached to stake B
By Pythagoras theorem,
BC² = AB² + AC²
or, BC² = (5)² + (6)²
or, BC² = 36 + 25
or, BC = √61 m
or, BC = 7.81 m
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Un comerciante tiene dos clases de aceite, la primera de 6 euros el litro y la segunda de 7.2 euros el litro.¿Cuantos litros de cada clase hay que poner para obtener 60 litros de mezcla a 7 euros el litro?
AnswerNo nin
Step-by-step explanation:
dsfsfsdffsfsfsfs is bad
what is m<FDG?
Parts of a circle and central angles
Answer:
m<FDG = 120 degrees
Step-by-step explanation:
90 + 150 + x = 360
subtract 90 and 150 from both sides
x = 120
For two weeks the highest temp each day was recorded in four different cities. Line L, M, N, & P are graphs of the temp over time in Lubbock, Memphis, New Orleans, & Phoenix. Which statement is true?
A. the high temp in Lubbock increased as time passed
B. the high temp in Memphis decreased steadily
C. Initially, the high temp was warmer in Phoethen in Memphis
D. The high temp in Phoenix rose faster than the temp in New Orleans
Which set of ordered pairs (x, y) could represent a linear function?
A = {(-2,5), (0, 3), (2, 1), (5,-2)}
B = {(2,9), (4,5), (5,2), (6,0)}
C = {(-3,-8), (0,-4), (3,-1), (6,2)}
D = {(-2,3), (0, -1), (2,-4), (4,-7)}