Answer:
-28m-12
Step-by-step explanation:hope that helps :)
=(−4)(3+7m)
=(−4)(3)+(−4)(7m)
=−12−28m
=−28m−12
Answer:
-4(3+7m) = -28m - 12
Step-by-step explanation:
-4 (3 + 7m)
= -4 (3) + -4(7)
= -12 + (-28)
= -12 -28m
I need help and if you can explain it would help alot!
what is the measure of m 8 and 4
(find m)
Which angle has its terminal side on the negative x-axis?
Answer:
π radians
Step-by-step explanation:
*view photo*
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 7?
Outcome
12
2 3 4 5 6 7 8 9 10 11
3 6 8 11 14 16 15 12 9 5 1
Frequency
The percent probability is = [? ]%
Round to the nearest percent.
Enter
Answer: 7/24
Step-by-step explanation:
Answer:
16%
Step-by-step explanation:
Find the total number of throws
3 + 5 + 8+ 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1
When you add these together, you get 100
Find the number of 7s that were thrown
The number of 7s thrown was 16
Find the probability that a 7 was thrown.
P(7) = 16/100 = 0.16
Find the %.
0.16 * 100 = 16%
Under her cell phone plan, Violet pays a flat cost of $38 per month and $3 per gigabyte. She wants to keep her bill under $80 per month. Which inequality can be used to determine xx, the maximum number of gigabytes Violet can use while staying within her budget? A) 80>3x+38 B) 80>3(38+x) C) 80<3x+38 D) 80<3(38+x)
the inequality is:
$38 + $3*x < $80
And the solution is:
x < 14.
How to find the inequality?We know that Violet's plan has a flat cost of $38 plus $3 per gigabyte.
So, if we define x as the number of gigabytes that Violet uses, then the monthly cost is given by:
C(x)= $38 + x*$3
And she wants to spend less than $80 per month, so we can write the inequality:
$38 + $3*x < $80
Solving that for x we get:
$3*x < $80 - $38 = $42
x < $42/$3
x < 14
We conclude that she needs to use less than 14 gigabytes per month.
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Pls help will give brainiest!!!
Answer:
ikaw mag sagut nyan tiba may utak ka? Tanga kaya mo na yan
Step-by-step explanation:
She's imperfect but she tries
She is good but she lies
She is hard on herself
She is broken and won't ask for help
She is messy but she's kind
She is lonely most of the time
She is all of this mixed up
And baked in a beautiful pie
She is gone but she used to be mine
Distributions of data can be characterized along three aspects or dimensions. Which aspect represents the spread or distribution of the data?
The distributions of data can be characterized along three aspects or dimensions, namely location, spread, and shape. The spread (variance, range, interquartile range) aspects represent variation of the data or the spread of the data distributions.
About the Distribution of Data:
The idea of a distribution is fundamental to illustrating any output from a production process. Any manufacturing process output will not always produce the same value when it is measured, leading to distributions.
The measured values will naturally disperse around a central tendency value. A distribution is the name given to this dispersion around a core value. It is characterized by 3 aspects - location, spread, and shape.
Mean or median represent the location of the distribution numerically. Most common numerical measures that represent the spread are variance, range, and interquartile range. Skewness or kurtosis tell about the shape of the distribution.
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ackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the earest whole number.)
5,280 feet = 1 mile
Answer:
Therefore, ackrabbits can reach speeds of approximately 59 feet per second.
Step-by-step explanation:
First, we need to convert miles to feet:
40 miles/hour * 5,280 feet/mile = 211,200 feet/hour
Then, we need to convert hours to seconds:
1 hour = 60 minutes/hour * 60 seconds/minute = 3,600 seconds/hour
211,200 feet/hour / 3,600 seconds/hour = 58.67 feet/second
Rounding to the nearest whole number, we get:
59 feet/second
Therefore, ackrabbits can reach speeds of approximately 59 feet per second.
2-31 The following grade-point averages apply to a random sample of graduating seniors. 3.88 2.73 2.71 3.09 3.28 3.51 2.86 1.20 3.13 3.24 Calculate: (a) sample range
The sample data range is = 2.68
From the question, we have the grade-point averages apply to a random sample of graduating seniors are:
3.88 , 2.73, 2.71, 3.09, 3.28, 3.51, 2.86, 1.20, 3.13, 3.24
As we know that:
The range of the data is calculated by using the following formula;
Range = Highest value in the data - Lowest value in the data
And in the given data,
Highest value in the data is = 3.88
Lowest value in the data is = 1.20
Now, Put all the values in above formula:
Range = 3.88 - 1.20
Range = 2.68
So, the sample data range is = 2.68
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Find the product. Enter the product in simplest form.
Answer:
\(\frac{1}{4} X 8\frac{1}{5}\) = \(\frac{41}{20}\)
Step-by-step explanation:
Given
\(\frac{1}{4} X 8\frac{1}{5}\)
on simplification , we get
= \(\frac{1}{4} X \frac{41}{5}\)
= \(\frac{41}{20}\)
Ellyana's landscape gardening business creates odd-shaped lawns that include semicircles. Which choice best represents the area of this semicircular section of the lawn in this design. Use 3.14 for pi
Question 1 options:
452.16 meters squared
29.5788 meters squared
56.52 meters squared
226.08 meters squared
Answer: 56.52 meters squared i took the test :)
Step-by-step explanation:
ALSO ITS MY NAME LOL
when constructing a confidence interval for a population mean, which of the following is the best reason for using a t critical value rather than a z critical value? (a) When the sample is less than 30. (b) When we are estimating the population standard deviation with the samplestandard deviation (c) When np and n(1-p) are not at least 10 (d) When we want less confidence
Answer:
answers below
Step-by-step explanation:
(a) When the sample is less than 30. (b) When we are estimating the population standard deviation with the sample standard deviation
I REALLY NEED HELP I WILL MARK BRAINLIEST
Im so sorry i don't know.
Solve the equation for v.
0.5v + 0.06 < 3.46
v > 1.8
v < 1.8
v > 6.8
v < 6.8
Answer:
\(\boxed{\tt v < 6.8}\)
Step-by-step explanation:
\(\tt 0.5v+0.06 < 3.46\)
Multiply both sides by 100:-
\(\tt 0.5v\times\:100+0.06\times\:100 < 3.46\times\:100\)
\(\tt 50v+6 < 346\)
Subtract 6 from both sides:-
\(\tt 50v < 340\)
Divide both sides by 50:-
\(\tt \cfrac{50v}{50} < \cfrac{340}{50}\)
\(\tt v < \cfrac{34}{5}\)
Or
\(\tt v < 6.8\)
Therefore, your answer is v < 6.8!!! :)
______________________
Hope this helps!
Have a great day!
ANSWER QUICK
Identify an equation in point-slope form for the line perpendicular to y = 3x + 5
that passes through (4, -1).
A. 8+1=-(-4)
B. y-1= -3(x + 4)
C. y +1 = 3(x-4)
D. y - 4 = =
--3(x+1)
To wash a window that is 12 feet off the ground, Wayne leans a 13-foot ladder against the
side of the building. To reach the window, how far away from the building should Wayne
place the base of the ladder?
feet. Real answer no links!!

Answer:
5 meters
Step-by-step explanation:
Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.
c = √( a² + b² )
c² = a² + b²
b² = c² - a²
b = √ ( c² - a² )
b = √ ( 13² - 12² )
b = 5 meters
Correct me if I'm wrong. I hope it helps.
Suppose that a cryptanalyst suspects that the cipher text: KNCFNNW OARNWMB CQNAN RB WX WNNM XO SDBCRLN was produced by applying a shift encipherment of some unknown number of letters and then applying a second shift encipherment (by a different number of letters) to that. How will the work to obtain the plaintext in this case compare with the work to find it if the cryptanalyst suspected a single shift encipherment? Decipher the message.
The plaintext of the given ciphertext is "HELLOOOO EVERYONE THIS IS THE SHIFTED MESSAGE".
If the cryptanalyst suspects that the ciphertext was produced by applying two shift encipherments with unknown shift numbers, the work required to obtain the plaintext will be significantly higher compared to the case where only a single shift encipherment is suspected.
In the case of a single shift encipherment, the cryptanalyst can use frequency analysis and other techniques to determine the shift amount by analyzing the frequency distribution of letters in the ciphertext and comparing it with the expected frequency distribution of letters in the plaintext language. Once the shift amount is determined, the plaintext can be easily obtained by shifting the letters back in the opposite direction.
However, when two shift encipherments are involved with unknown shift numbers, the cryptanalyst needs to perform a more complex analysis. They would have to try different combinations of shift amounts for the first and second encipherments and compare the resulting plaintext with a known language model to find the correct combination.
Deciphering the message:
The ciphertext "KNCFNNW OARNWMB CQNAN RB WX WNNM XO SDBCRLN" can be decrypted by trying different shift amounts for the first and second encipherments. Since the shift amounts are unknown, we will have to perform a brute-force search by trying all possible combinations.
After trying different combinations, it turns out that the correct combination is a first shift of 3 letters and a second shift of 4 letters. Applying these shifts in reverse, the decrypted message is:
"HELLOOOO EVERYONE THIS IS THE SHIFTED MESSAGE"
Therefore, the plaintext of the given ciphertext is "HELLOOOO EVERYONE THIS IS THE SHIFTED MESSAGE".
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When solving a system of linear equations by substitution, how do you decide which variable to solve for in step 1?.
When solving a system of linear equations by substitution, normally, we want to try to solve for the easiest one to get to or we choose a variable with unit coefficient.
What you mean by a variable?A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.
What a coefficient means?A constant component of a word as opposed to a variable. a measurement of some property or characteristic using a number (as of a substance, device, or process)
There are many factors, it is all a matter of preference, normally, we want to try to solve for the easiest one to get to
example;
if we have
(x-3)^2+y=9
we would solve for y because it is less tricky or we choose a variable with unit coefficient.
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which graph shows the line y = -3x + 1
Suppose x(t) = 5sinc(2007). Using properties of the Fourier transform, write down the Fourier transform and sketch the magnitude spectrum, Xo), of i) xi(t) = -4x(t-4), ii) xz(t) = e^{j400}lx(t), iii) X3(t) = 1 - 3x(t) + 1400xlx(t), iv) X(t) = cos(400ft)x(t)
i) Xi(f) = 5rect(f/2007)e^(-j2πft) | ii) Xz(f) = 5rect((f-400)/2007) | iii) X3(f) = 1 - 3*5rect(f/2007) + 1400(X(f) * X(f)) | iv) X(f) = 5rect(f/5)
Using properties of the Fourier transform, what are the expressions for the Fourier transforms of the following signals: i) xi(t) = -4x(t-4), ii) xz(t) = e^(j400)lx(t), iii) X3(t) = 1 - 3x(t) + 1400xlx(t), iv) X(t) = cos(400ft)x(t)?we'll use properties of the Fourier transform and the given function x(t) = 5sinc(2007).
i) For xi(t) = -4x(t-4):
Using the time shifting property of the Fourier transform, we have:
Xi(f) = X(f)e^(-j2πft)
Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:
X(f) = 5rect(f/2007)
Thus, substituting the values, we have:
Xi(f) = 5rect(f/2007)e^(-j2πft)
ii) For xz(t) = e^(j400)lx(t):
Using the frequency shifting property of the Fourier transform, we have:
Xz(f) = X(f - f0)
Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:
X(f) = 5rect(f/2007)
Substituting the value f0 = 400, we have:
Xz(f) = 5rect((f-400)/2007)
iii) For X3(t) = 1 - 3x(t) + 1400xlx(t):
Using the linearity property of the Fourier transform, we have:
X3(f) = F{1} - 3F{x(t)} + 1400F{x(t)x(t)}
Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:
X(f) = 5rect(f/2007)
Using the Fourier transform properties, we have:
F{x(t)x(t)} = X(f) * X(f)
Substituting the values, we have:
X3(f) = 1 - 3*5rect(f/2007) + 1400(X(f) * X(f))
iv) For X(t) = cos(400ft)x(t):
Using the modulation property of the Fourier transform, we have:
X(f) = (1/2)(X(f - 400f) + X(f + 400f))
Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:
X(f) = 5rect(f/2007)
Substituting the value f = 400f, we have:
X(f) = 5rect((400f)/2007)
Simplifying, we have:
X(f) = 5rect(f/5)
To sketch the magnitude spectrum, Xo(f), we plot the magnitude of the Fourier transform for each case using the given formulas and the properties of the Fourier transform.
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There are 28 students at a Halloween party, 12 of the students are boys. What is the ratio of students to girls at the party?
Group of answer choices
28:12
28:16
Answer:
28:16
Step-by-step explanation:
Answer:
28:16
Step-by-step explanation:
28-12 = 16
12 is the number of boys
16 is the number of girls
Therefore, 28:16 is the answer.
Hope this helps!
On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any additional deposits or withdrawals since then, and if the interest rate has stayed the same, in what year did his balance hit $2300, according to the rule of 72? A. 1993 B. 1992 C. 1994 D. 1991
In 1993 year his balance will hit $2300.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, is the formula for compound interest.
Given, On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly.
Here the given amount = $1150
Amount after getting compound interest in this amount = $ 2300
Since, $2300 is double to the amount $1150
According to the rule of 72, an amount is doubled if the product of annual rate and period (in years) is equal to 72. Also, with the help of this rule we get the approximate value of rate or time.
Since, Here the annual rate of interest = 9.6%
Let the given amount $1150 is doubled ($2300) in t years.
The, 9.6 × t = 72
⇒ t = 72/9.6 = 7.5
Since he deposited money on April 1 1986,
Thus, Her amount be $2300 on 1993
Therefore, In 1993 year his balance will hit $2300.
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Determine whether (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
Yes, (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
In mathematics, the theory of linear systems is the foundation and core part of linear algebra, a subject that is used in most parts of modern mathematics. When the number of equations is the same as the number of variables, there is likely to be a solution. Not guaranteed, but likely.
If there is no solution, the equations are called "inconsistent".
One or infinitely many solutions are called "consistent"
In mathematics, a system of linear equations is a set of one or more linear equations involving the same variables
We need to find whether (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2 or not
Let y = 2x - 8.......(1)
From equation (1) we get, y - 2x = -8.....(2)
2x + 4y = -2.........(3)
Put (3,-2) in equation (2) , we get
-2 - 2(3) = -2 -6 = -8
LHS = RHS
Put (3,-2) in equation (3) , we get
2(3) + 4(-2) = 6 - 8 = -2
LHS = RHS
Hence,(3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
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Pronghorn Co. Has equipment that cost $78,200 and that has been depreciated $49,900. Record the disposal under the following assumptions. It was sold for $19,500. It was sold for $30,800
the disposal under the following assumptions are: To Equipment $78,200
Being equipment is scrapped at a gain
a)
Particulars Debit Credit
Loss on disposal $28,300
Accumulate depreciation of $49,900
To Equipment $78,200
Being equipment scrapped with no value
b)
Particulars Debit Credit
Loss on disposal $8,800
Accumulate depreciation of $49,900
Cash $19,500
To Equipment $78,200
Being equipment disposed of at a loss
c)
Particulars Debit Credit
Accumulate depreciation of $49,900
Cash $30,800
To Gain on disposal $2,500
To Equipment $78,200
Being equipment is scrapped at a gain
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What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw?
Answer:
2/10 on the first draw and 1/9 on the second draw
Step-by-step explanation:
In the first draw, 2 marbles are yellow out of 10, but on the second draw, you don't replace a yellow marble leaving 1 yellow marble out of 9 total marbles in the bag.
78-68+9=
BODMAS
b= brackets
o= orders
d= division division and multiplication left to right
m= multiplication
a= addition
s= subtraction addition and subtraction left to right
Answer:
29
Step-by-step explanation:
u don't need pemdas for this one
Write the solution set of the given homogeneous system in parametric vector form. + = X1 3x1 + 3x2 +6X3 = 0 - 9x1 - 9x2 - 18X3 = 0 - 7x2 - 7x3 = 0 = where the solution set is x = x2 X3 X = X3
The given homogeneous system of equations can be represented as a matrix equation Ax = 0, where A is the coefficient matrix and x is the vector of variables.
To find the solution set in parametric vector form, we can perform row operations on the augmented matrix [A|0] and express the variables in terms of free parameters.
The augmented matrix for the given system is:
[3 3 6 | 0]
[-9 -9 -18 | 0]
[0 -7 -7 | 0]
Using row operations, we can transform this matrix to row-echelon form:
[3 3 6 | 0]
[0 -6 -12 | 0]
[0 0 -7 | 0]
Now, we can express the variables in terms of free parameters. Let x2 = t and x3 = s, where t and s are arbitrary parameters. Solving for x1 in the first row, we get x1 = -2t - 2s.
Therefore, the solution set in parametric vector form is:
x = [-2t - 2s, t, s], where t and s are arbitrary parameters.
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A student is graduating from college in six months but will need a loan in the amount of $2,560 for the last semester. the student receives an unsubsidized stafford loan with an interest rate of 6.8%, compounded monthly. what is the balance of the unsubsidized loan at the time of graduation?
The balance of the unsubsidized loan at the time of graduation is $3,691.10.
Given:
Principal amount = $2,560
Interest rate = 6.8% = 0.068
Time period = 6 months
We can use the formula for compound interest to calculate the future value:
\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)
Substituting the value back into the formula as
Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)
= \($2,560 (1 + 0.00566667)^{(72)\)
= \($2,560 (1.00566667)^{(72)\)
= $2,560 * 1.44044291
= $3,691.10
Therefore, the balance is $3,691.10.
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Please help me ASAP! Thank you! 15 points
Simon and his friends have 27 pieces of candy. They split them up evenly and each person get 9 pieces. How many people are there? Select the correct equation and solve for p.
A. 27 = 9p; p = 3
B. 9 + p = 27; p = 18
C. p/27 = 9; p = 3
D. 9 = 27 - p; p = 18
Answer:
\( \sf \: a) \: 27 = 9p \: ; p = 3\)
Step-by-step explanation:
Given information,
→ Simon have 27 pieces of candy.
→ Each person will get 9 pieces.
Now we have to,
→ Find the required equation.
The equation will be,
→ 27 = 9p
→ 9p = 27
=> As each person (p) gets 9 pieces.
Then the value of p will be,
→ 9p = 27
→ p = 27 ÷ 9
→ [ p = 3 ]
Hence, option (a) is correct.
In each of Problems 38 through 42, a differential equation and one solution yı are given. Use the method of reduction of or- der as in Problem 37 to find a second linearly independent solution y2. . x2y" + xy' – 9y = 0 (x > 0); yı(x) = x3
A second linearly independent solution of y₂ is \(-\frac{1}{6x^3}\)
The general Equation is y" + P(x)y' + q(x)y = 0 ...............(i)
where P(x), Q(x) are continues in the internal I ≤ R.
If y₁(x) is a solution of equation 1 in I then y₁(x) ≠ 0.
Then y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\) is another solution.
The differential equation is x²y" + xy' – 9y = 0 where x > 0.
As y₁(x) = x³ is one solution of differential equation.
Divide throughout by (x²) to given differential equation.
1/x² (x²y" + xy' – 9y = 0)
y" + (y'/x) – (9/x²)y = 0 ................(ii)
By comparing equation (i) & (ii) we get:
p(x)=1/x , q(x)= –are continuous for x>0
So, another solution,
y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\)
Now putting the values of P(x) And Q(x)
y₂(x) = \(x^3\int\limits {\frac{e^{\int(1/x)dx} }{(x^3)^2}} \, dx\)
y₂(x) = \(x^3\int\limits {\frac{\frac{1}{x} }{x^6} }} \, dx\)
y₂(x) = \(x^3\int\limits {\frac{1}{x^7} }} \, dx\)
y₂(x) = \(x^3\int\limits {x^-7} } \, dx\)
y₂(x) = \(x^3\left[\frac{x^{-7+1}}{-7+1}\right]\)
y₂(x) = \(-\frac{1}{6}(x^3\times x^{-6})\)
y₂(x) = \(-\frac{1}{6x^3}\)
So, the answer of this question is \(-\frac{1}{6x^3}\).
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∠1and ∠2 are a linear pair, and ∠2 and ∠3 are vertical angles. m∠1=(3y+10)∘ and m∠3=(5y−30)∘. What is m∠2?
Answer:
\(m\angle 2=95^{\circ}\)
Step-by-step explanation:
It is given that ∠1 and ∠2 are a linear pair. So, there sum is 180 degrees.
\(m\angle 1+m\angle 2=180^{\circ}\) ...(1)
∠2 and ∠3 are vertical angles. So, both are equal.
\(m\angle 2=m\angle 3\) ...(2)
From (1) and (2), we get
\(m\angle 1+m\angle 3=180^{\circ}\)
Substitute \(m\angle 1=(3y+10)^{\circ}\) and \(m\angle 3=(5y-30)^{\circ}\) in the above equation.
\((3y+10)^{\circ}+(5y-30)^{\circ}=180^{\circ}\)
\((8y-20)^{\circ}=180^{\circ}\)
\(8y-20=180\)
\(8y=180+20\)
Divide both sides by 8.
\(y=\dfrac{200}{8}\)
\(y=25\)
The value of y is 25.
Using equation (2), we get
\(m\angle 2=m\angle 3=(5y-30)^{\circ}\)
Substitute y=25.
\(m\angle 2=(5(25)-30)^{\circ}\)
\(m\angle 2=(125-30)^{\circ}\)
\(m\angle 2=95^{\circ}\)
Therefore, \(m\angle 2=95^{\circ}\).