Answer:
12
Step-by-step explanation:
2 ( - 2x + 6 )
= 2 ( - 2x ) + 2 ( 6 )
= - 4x + 12
Angle-C = 2x+20. Angle-D = 50 degrees
Solve for X
Answer:
55
Step-by-step explanation:
Since C and D are supplementary angles, they add up to 180 !
So,
2x + 20 + 50 = 180
x = 55
the value of x would be 55 for the given parallelogram.
What is a parallelogram?A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.
Given, ABCD is a Parallelogram, and as we can see in the figure that AB and CD are parallel and AC and BD are parallel.
Thus, ∠C and ∠D are adjacent angles.
From the property of the adjacent angle:
The sum of both angles is 180 degrees
Thus,
∠C +∠D = 180
2x + 20 + 50 = 180
2x = 110
x = 55
therefore, For the given parallelogram, x would have the value of 55.
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Please someone help me! I need someone to be quick ASAP!
Answer:
Whats? explication?? khe??
Answer:
Step-by-step explanation:
Pls help extra points
Answer:
the mean is 7
Step-by-step explanation:
used a mean calculator
Tìm số dư trong phép chia 3^{2020} chia cho 13
Your question translates to computing \(3^{2020} \pmod {13}\).
Recall Euler's theorem: if \(\gcd(a,n)=1\) (that is, \(a\) and \(n\) are relatively prime), then \(a^{\varphi(n)}\equiv1\pmod n\), where \(\varphi(n)\) denotes Euler's totient function, which counts the number of positive integers relatively prime to \(n\).
Since 13 is prime, we have \(\phi(13)=12\). Then by Euler's theorem,
\(3^{12} \equiv 1 \pmod{13}\)
Now, observe that 2020 = 168×12 + 4, so that
\(3^{2020} \equiv 3^{168\times12+4} \equiv \left(3^{12}\right)^{168} \times 3^4 \equiv 1^{168} \times 3^4 \equiv 3^4 \pmod{13}\)
and since 3⁴ = 81 = 6×13 + 3, we end up with
\(3^{2020} \equiv 81 \equiv 3 \pmod{13}\)
so the remainder upon dividing 3²⁰²⁰ by 13 is 3.
14. A pole has two wires attached to it, one on each side, forming two right triangles as shown.
How tall is the pole?
26.8 feet
25.7feet
29.6 feet
22.3 feet
If a pole has two wires attached to it, one on each side, forming two right triangles as shown, then the height of the pole is 29.6 feet
Consider the triangle on left hand side
The length of the base = 34 feet
The measure of angle = 41 degrees
Opposite side is the height of the pole
Here we have to use the trigonometric functions
sin θ = Opposite side / Hypotenuse
cos θ = Adjacent side / Hypotenuse
tan θ = Opposite side / Adjacent side
Here we have to use the equation of tan θ
Substitute the values in the equation
tan 41 = Opposite side / 34 feet
Opposite side = 34 × tan 41
= 29.6 feet
Therefore, the height of the pole is 29.6 feet
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let's define the reverse of an integer x as the number obtained by reversing the order of the digits of x and then moving any leading zeroes to the end of the resulting number. tests input: arr: [7, 234, 58100] expected output: 7 432 18500
Let's see how the while loop functions for n = 2345. Inside the loop, the reversed number is calculated using the formula reverse = reverse * 10 + remainder. n. n != 0.
What is an integer reversal?We only need to flip the most significant digit into the least significant digit and vice versa, the second most significant digit into the third least significant digit and vice versa, and so on to reverse an integer. Return 0 if the input is bigger than the predetermined range (231, 231 1). Regarding two-digit numbers and their opposite, there are two common logics. The two-digit number "ab" can be represented generally as (10 times a) + b. We are aware that swapping the numbers in the TENS and ONES positions will reverse a number. The typical form of its reverse "ba" is thus (10 times "b" times "a") PlusGiven,
arr: [7, 234, 58100]
Expected Output:
7 + 432+ 18500 = 18939
Input:
arr: [0, 100, 220]
Expected Output:
0 + 100 + 220 = 320
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-21x (x + 28)
multiply
\(-21x^{2}-588\)
let me know if anything is unclear, I'm happy to help!
help please !! i need help
Answer: 1/2x
Step-by-step explanation:
Which represents the reference angle for 3pi/4?
a) 3pi/4
b) Pi/3
c) Pi/4
d) Pi/6
Answer:
(c) Pi/4
Step-by-step explanation:
3pi/4 = (3 x 180) / 4 = 135 degrees
135 degrees is equivalent to (180 degrees - 135 degrees) 45 degrees
45 degrees = Pi/4
Therefore, the reference angle of 3pi/4 is Pi/4
Thus, the correct option is (c) Pi/4
The reference angle for 3π/4 is π/4.
So, the correct answer is c) π/4.
Given is an angle 3π/4, we need to find its reference angle,
The reference angle is the acute angle formed between the terminal side of an angle and the x-axis in the coordinate plane.
To find the reference angle for an angle, you need to consider the position of the terminal side of the angle in the coordinate plane and determine the acute angle formed.
In this case, we are given the angle 3π/4. To find the reference angle, we need to consider the position of the terminal side of this angle.
The angle 3π/4 lies in the second quadrant of the coordinate plane, where both the x-coordinate and y-coordinate are negative.
To find the reference angle, we need to find the acute angle formed by the terminal side with the x-axis. In the second quadrant, this acute angle is formed by the vertical line connecting the terminal side to the x-axis.
If we draw a vertical line from the terminal side of 3π/4, it intersects the x-axis at π/4.
Therefore, the reference angle for 3π/4 is π/4.
So, the correct answer is c) π/4.
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Discrete Mathematics
For each language L1 to L5, described below, you need to do the following:
• Create a regular expression that defines the language accurately.
The alphabet A = {a, b} will be used.
The languages are:
1. L1 which has exactly one a but any number of bs.
2. L2 which has an odd number of as and an even number of bs.
3. L3 which contains exactly two as or exactly two bs, although not necessarily adjacent.
4. L4 which has all the bs appearing before any of the as, or all the as appearing before any of the bs.
5. L5 where there can be any number of as but the number of bs must be even, although the bs do not have to be adjacent.
Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.
How to create regular expressions?A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages are:
L1, which has exactly one "a" but any number of "bs".
L2, which has an odd number of "as" and an even number of "bs".
L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.
L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".
L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.
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Help me out here pleaseeeeeeee
Answer:
C
Step-by-step explanation:
a quadrilateral has diagonals that are perpendicular but not congruent. This quadrilateral could be
Answer:
Rhombus
Step-by-step explanation:
This could be a rhombus since in a square, the lines are congruent and perpendicular, so we move on to a broader shape, rectangles. the diagonals are congruent but not perpendicular, so we go to rhombus, and in a rhombus the diagonals are not congruent but they are perpendicular.
A positive integer is 6 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is frac(5,9), then find the two integers.
The two integers are equal to 1 and 7 respectively.
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.
Let x represent the smaller number. Then the given relationships say ...
1/x + 2/(x+6) = 9/7
Multiplying by 7x(x+6), we have ...
7(x+6) +14x = 9x(x+6)
9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides
9x² +33x = 42 . . . . . . . . ...subtract 21x
3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3
(3x +14)(x -1) = 0 . . . . . . . . factor
Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.
Therefore, the two integers are equal to 1 and 7 respectively.
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what is the result of adding the system of equations 2x y 43x y 6x 10x y 25x 10
Therefore the result of adding the system of equations 2x + y = 4 ,
6=3x-y is 5x =10
Describe equation:Equations are statements in mathematics containing the equals (=) sign flanked on either side by two algebraic expressions. The relationship between the expressions printed on the left and right sides is shown to be equal in this way. In all mathematical equations, LHS = RHS is used. You can solve equations to find the value of an unknown variable that stands in for an unknown quantity. If a sentence lacks a "equal to" sign, it is not considered an equation. It will be considered to be a phrase.
Here,
Given:
we have to solve the system of equations given. .Each equation is added together to remove the variable Y.
2x + y = 4
+
3x - y = 6
________
=> 5x =10
Therefore the result of adding the system of equations 2x + y = 4 ,
6=3x-y is 5x =10
The value of x :
x =10 / 5 = 2
⇒ x=2
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mandy eats half of a sandwhich and keisha eats half off another sandwhich who eats more?why
Answer:
keisha eats more
Step-by-step explanation:
because keisha aeat one hole sandwich and half more of another sandwith so that twice more than what mandy eat
Answer:
there's not enough information. I mean one sandwich could be or could not be bigger than the other sandwich
help me please i’ll give u a cookie
Answer:
the answer is B
Step-by-step explanation:
i just did this.
Write a binomial of degree 25?
Answer:
EXAMPLE OF BINOMIAL OF DEGREE
25:- 2x/\25 -15
Step-by-step explanation:
EXAMPLE OF MONOMIAL OF DEGREE
290:- 15x/\200
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A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 13.2 inches and standard deviation of 2.3 inches. If a sample of 37 items are chosen at random, what is the probability the sample's mean length is greater than 12.1 inches? Round answer to four decimal places.
The probability that the sample's mean length is greater than 6.3 inches is0.8446.
Here, we have,
Given mean of 6.5 inches, standard deviation of 0.5 inches and sample size of 46.
We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.
Probability is the likeliness of happening an event.
It lies between 0 and 1.
Probability is the number of items divided by the total number of items.
We have to use z statistic in this question because the sample size is greater than 30.
μ=6.5
σ=0.5
n=46
z=X-μ/σ
where μ is mean and
σ is standard deviation.
First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.
z=6.3-6.5/0.5
=-0.2/0.5
=-0.4
p value from z table is 0.3446
Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.
Hence the probability that the mean length is greater than 6.3 inches is 0.8446.
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J.B. earns $16.60 an hour with time-and-a-half for hours worked over 8 a day. His
hours for a week are 8.25, 8.25, 9.5, 11.5, and 7.25. Determine his gross earnings
for that week.
Answer:
The gross pay for the week is $701.32
Step-by-step explanation:
J.B. earns $16.60 per hour, and half of it ($16.60/2) for each hour worked over the 8th-hour range.
On the first day, he works 8.25 hours.
We have 8 hours, plus 0.25 hours past the limit, then for the first day he wins:
8*$16.60 + 0.25*($16.60/2) = $134.86
On the second day, he works again 8.25 hours, so he wins the same amount $134.86
On the third day, he works 9.5 hours, then:
We have 8 hours plus 1.5 hours past the limit, then for this day he wins:
8*$16.60 + 1.5*$16.60/2 = $145.25
On the fourth day, he works 11.5 hours, then:
We have 8 hours plus 3.5 hours pást the limit, then for this day he wins:
8*$16.60 + 3.5*$16.60/2 = $161.85
For the last day, he works 7.25 hours, (in this case, we do not have hours worked over the 8-hour limit) then this day he wins:
7.25*$16.60 = $124.50
The gross pay for this week will be equal to:
G = $134.86 + $134.86 + $145.25 + $161.85 + $124.50 = $701.32
Work the following pricing problems for services rendered. (For all calculations use hundredths.)
Labor time = 8 hours
Overhead rate = 65%
Retail price of parts = $98.70
Total cost of job = $242.58
What is hourly rate for labor?
A. 27.67
B. 13.32
C. 10.90
D. 117.08
Answer:
No entiendo ingles perdon
PLEASE HELP TODAY!!!! WILL GIVE BRAINLIST
Hello!
We will go tu use the pythagorean theorem!
So:
BA² = BC² + AC²
AC² = BA² - BC²
AC² = 52² - 20²
AC² = 2304
AC = √2304
AC = 48
A quadratic equation, y = ax^2 - 6x + 10, has exactly one real root. Calculate the value of a.
Answer:
a = 0.9
Step-by-step explanation:
For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.
For the given equation:
\(y = ax^2 - 6x + 10\),
• a = a
• b = -6
• c = 10.
Substituting these values into the formula for discriminant, we get:
\((-6)^2 - 4(a)(10) = 0\)
⇒ \(36 - 40a = 0\)
⇒ \(36 = 40a\)
⇒ \(a = \frac{36}{40}\)
⇒ \(a = \bf 0.9\)
Therefore the value of a is 0.9 when the given quadratic has exactly one root.
HELP PLEASE, 10 points
The diameter of the hemisphere is 16 inches. What is the total surface area of the hemisphere?
Round to the nearest whole number.
Answer:
Step-by-step explanation:
d = 16 cm
r =16/2= 8 cm
Total surface area = 3πr² cubic units
= 3 * 3.14 * 8 * 8
= 602.88
= 603 cm²
I don't think it's anything under 4in, but I'm not sure.
Answer:
5
Step-by-step explanation:
All you would have to do is read the question. Because if it is like a block than it couldn't be any closer to the bottom than five inches.
p
Line m has a y-intercept of cand a slope of 9, where p>0, q> 0, and p + q.
What is the slope of a line that is perpendicular to line m?
-q/p
P/q
q/p
-p/q
So slope of the line m is 9
We know perpendicular lines have slopes negative reciprocal to each other and their product of slopes is -1
9m2=-1m2=-1/9If slope of m is p/q then slope of perpendicular line is -q/p and vice versa
Answer:
\(-\dfrac{q}{p}\)
Step-by-step explanation:
Slope-intercept form of a Linear Equation:
\(y = mx + b\)
where:
m is the slopeb is the y-interceptIf line m has a y-intercept of c and a slope of p/q, then:
\(\textsf{Equation of line m}: \quad y = \dfrac{p}{q}x + c\)
If two lines are perpendicular to each other, the product of their slopes will be -1.
Let a = slope of the line perpendicular to line m.
\(\implies a \times \dfrac{p}{q}=-1\)
\(\implies a=-\dfrac{q}{p}\)
Therefore, the slope of the a line that is perpendicular to line m is:
\(-\dfrac{q}{p}\)
If the weather in City A decreased constantly through the night from
5:00 PM to 9:00 PM, what is the rate of decrease of the weather in
degrees per hour if the temperature dropped from 20 degrees to 12
degrees?
A) 2
B) -2
C) 8
D) -8
E) 1
The rate of decrease of the weather in degrees per hour is 2 degrees.
EquationsThe time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.
The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.
Therefore, the rate of decrease of the weather in degrees per hour is:
-8 degrees / 4 hours = -2 degrees per hour
What is rate of change of temperature?A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.
Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.
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Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Check the picture below.
Please help ASAP
See Attached!!
When you add polynomials of different degrees, it is not adding up the degrees, in special cases this may end up with smaller degree polynomials.
When you multiply polynomials of different degrees, it adds up the degrees, and the final polynomial is off the higher degree.
The answers:
a) False, degrees not added,b) False, degrees added but not multiplied.A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount
The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.
A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?
The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.
The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'
Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).
Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.
Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200
Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.
The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.
The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Find a10, for the geometric sequence an = 3(4)^n-1.
A. 262,144
B. 786,432
C. 1,048,579
D. 3,145,728