Answers
--------------------------------
--------------------------------
Explanation:
The inflection point is one where the graph changes from concave up to concave down, or vice versa. When x = c, the graph goes from concave down to concave up. For x = d, we go the opposite way from concave up to concave down. The value x = e is similar to x = c.
Related Questions
X2+4x-3/X4-5X2+4 what is the domain of this function
Answers
the demonimator cannot be zero
factor the denominator: (x^2-1)(x^2-4)≠0
factor again: (x+1)(x-1)(x+2)(x-2)≠0
x≠1,-1,2,-2
the domain is all real number except 1,-1,2,-2
A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $460. How many of each type of bill does the cashier have?
Answers
16×20=320
14×10=140
320+140=460
Answer:
There are 14 $10 bills and 16 $20 bills.
Step-by-step explanation:
Let
x = number of $10 bills
y = number of $20 bills
The sum of the value of x and y is $460.
10 x + 20 y = 460 [1]
The sum of x and y is equal to the total number of bills.
x + y = 30
y = 30 - x [2]
We replace [2] in [1],
10 x + 20 (30 - x) = 460
10 x + 600 - 20 x = 460
-10 x = -140
x = 14
We can get y if we replace this value of x in [2].
y = 30 - 14 = 16
Farmer Dave builds a crate to hold vegetables. the volume of the crate is 48 cubic feet. the base area of the crate is 16 square feet. what is the height of the crate
Answers
Volume of crate = length x width x height.
We know the volume and base.
To find the height, we need the length.
Answer:
the answer is 3
Step-by-step explanation:
just got it right on iready
A total of $5000 was invested in two accounts. One pays 5% annual interest, and the second pays 7% annual interest. If the first-year interest is $325, how much was invested in each account?
Answers
Find the unit rate for 521 miles in 14 hours
Answers
The unit rate for 521 miles in 14 hours is 37.2 miles per hour
Given:
Total distance travelled = 521 miles
Total time taken = 14 hours
Unit rate = Total distance travelled ÷ Total time taken
= 521 miles ÷ 14 hours
= 37.214285714285
Approximately, 37.2 miles per hour
Therefore, unit rate for 521 miles in 14 hours is 37.2 miles per hour
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I don't know how to solve this
Answers
So what you're left with is 3x=5,856, so you divide on both sides by 3 to get x by itself and end up with the answer x=1952.
Another way to do this is if you understand how fractions work, 3/4 is equivalent to .75 so think of it as .75x=1464 and divide by .75 on both sides to get 1952. Either way works and either way x=1,952
How would you write 5x5x5x5x5x5 in an exponent form, please help me i forgot
Answers
Example:
3 × 3 × 3 × 3 = [tex] 3^{4} [/tex]
So, 5 × 5 × 5 × 5 × 5 × 5 = [tex] 5^{6} [/tex]
I hope this helps!
The exponent form of the given multiplication 5x5x5x5x5x5 is 5⁶.
What is an exponent expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent,"
it can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."
The given expression is 5x5x5x5x5x5. The exponent form of the number will be written below,
E = 5x5x5x5x5x5
E = 5⁶
Therefore, the exponent form of the given multiplication 5x5x5x5x5x5 is 5⁶.
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An apartment building has the following distribution of apartments: 1st floor 1 bed room 3, two bedroom 1, 3 bedroom 1, 2nd floor 1 bedroom 2, 2 bedroom 2, 3 bedroom 2, 3rd floor 1 bedroom, 2 bedroom 4, 3 bedroom 1. If an apartment is selected at random, what is the probability that it is on the 2nd floor or has 2 bedrooms
Answers
Final answer:
The probability that an apartment is on the 2nd floor or has 2 bedrooms is 0.7727 or 77.27%.
Explanation:
To find the probability that an apartment is on the 2nd floor or has 2 bedrooms, we need to determine the total number of apartments that satisfy either of the conditions.
On the 2nd floor, there are 2 apartments with 1 bedroom, 2 apartments with 2 bedrooms, and 2 apartments with 3 bedrooms. This gives us a total of 2 + 2 + 2 = 6 apartments on the 2nd floor.
Out of the total distribution of apartments, there are 3 apartments with 1 bedroom, 4 apartments with 2 bedrooms, and 4 apartments with 3 bedrooms. This gives us a total of 3 + 4 + 4 = 11 apartments with 2 bedrooms.
The probability of an apartment being on the 2nd floor or having 2 bedrooms is given by:
Probability = (Number of apartments on the 2nd floor + Number of apartments with 2 bedrooms) / Total number of apartments
Probability = (6 + 11) / (6 + 1 + 1 + 2 + 2 + 2 + 1 + 2 + 4 + 1) = 17 / 22 = 0.7727 or 77.27%
what is the value of x in the proportion below ?
180 Kilometers / 3 hours = 540 Kilometers / X
Answers
Answer: 9 hours
Step-by-step explanation:
Given proportion : [tex]\frac{\text{180 Kilometers}}{\text{3 hours}}=\frac{\text{540 Kilometers }}{x}[/tex]
To find the value of x , we need to multiply 3x hours and divide 180 Kilometers on both the sides, we get
[tex]\text{x}=3\times\frac{540}{180}\text{hours}\\\\\Rightarrow\ x=3\times3\\\\\Rightarrow\ x=9\text{ hours} [/tex]
Hence, the value of x = 9 hours.
k-20/5=11j ; solve for k
Answers
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. the hypotheses h0: μ = 75 and ha: μ < 75 are to be tested using a random sample of n = 25 observations. (a) how many standard deviations (of x) below the null value is x = 72.3? (round your answer to two decimal places.) standard deviations (b) if x = 72.3, what is the conclusion using α = 0.01? (round your answers to two decimal places.) test statistic z = critical value z = what can you conclude? reject the null hypothesis. there is sufficient evidence to conclude that the mean drying time is less than 75. do not reject the null hypothesis. there is sufficient evidence to conclude that the mean drying time is less than 75. do not reject the null hypothesis. there is not sufficient evidence to conclude that the mean drying time is less than 75. reject the null hypothesis. there is not sufficient evidence to conclude that the mean drying time is less than 75. (c) what is α for the test procedure that rejects h0 when z ≤ −2.8? (round your answer to four decimal places.) α = (d) for the test procedure of part (c), what is β(70)? (round your answer to four decimal places.) β(70) = (e) if the test procedure of part (c) is used, what n is necessary to ensure that β(70) = 0.01? (round your answer up to the next whole number.) n = specimens (f) if a level 0.01 test is used with n = 100, what is the probability of a type i error when μ = 76? (round your answer to four decimal places.)
Answers
The z score of the hypothesis testing of n samples of a normally distributed data set is given by:
[tex]z= \frac{x-\mu}{\sigma/\sqrt{n}} [/tex]
Given that the population mean is 75 and the population standard deviation is 7, then the number of standard deviation of the mean for x = 72.3 is given by the z score:
[tex]z= \frac{72.3-75}{7/\sqrt{25}} \\ \\ = \frac{-2.7}{7/5} = \frac{-2.7}{1.4} \\ \\ =-1.93[/tex]
Therefore, 72.3 is 1.93 standard deviations below the mean.
Part B:
The test statistics of the hypothesis testing of n samples of a normally distributed data set is given by:
[tex]z= \frac{x-\mu}{\sigma/\sqrt{n}} [/tex]
Thus given that x = 72.3, μ = 75, σ = 7 and n = 25,
[tex]z= \frac{72.3-75}{7/\sqrt{25}} \\ \\ = \frac{-2.7}{7/5} = \frac{-2.7}{1.4} \\ \\ =-1.93[/tex]
The p-value is given by:
[tex]P(-1.93)=0.03[/tex]
Since α = 0.01 and p-value = 0.03, this means that the p-value is greater than the α, ant thus, we will faill to reject the null hypothesis.
Therefore, the conclussion is do not reject the null hypothesis. there is not sufficient evidence to conclude that the mean drying time is less than 75.
Part C
In order to reject the null hypothesis, the p-value must be less than or equal to α.
The p-value for z ≤ -2.8 is 0.00256.
Therefore, the α for the test procedure that rejects the null hypothesis when z ≤ −2.8 is 0.0026
Part D:
In general for the alternative hypothesis , [tex]H_a :\mu\ \textless \ \mu_0[/tex]
[tex]\beta(\mu') = P\left(X \ \textgreater \ \mu_0-z_{1-\alpha}\frac{\sigma}{\sqrt{n}}|\mu'\right) \\ \\ = 1-P\left(-z_{1-\alpha}+\frac{\mu_0-\mu'}{\sigma/\sqrt{n}}\right) [/tex]
So for the test procedure with α = 0.0026
[tex]\beta(70) = 1 - P\left(-z_{0.9974}+\frac{75-70}{7/5}\right) \\ \\ =1 - P(-2.7949+3.5714)=1-P(0.7765) \\ \\ =1-0.78128\approx\bold{0.2187 }[/tex]
Part E:
For α = 0.0026, and a general sample size n we have that
[tex]\beta(70) = 1 - P\left(-z_{0.9974}+\frac{75-70}{7/\sqrt{n}}\right) \\ \\ =1 - P\left(-2.7949+ \frac{5}{7/\sqrt{n}} \right)[/tex]
Since, we want n so that β(70) = 0.01, thus
[tex]1 - P\left(-2.7949+ \frac{5}{7/\sqrt{n}} \right)=0.01 \\ \\ \Rightarrow P\left(-2.7949+ \frac{5}{7/\sqrt{n}} \right)=1-0.01=0.99 \\ \\ \Rightarrow P\left(-2.7949+ \frac{5}{7/\sqrt{n}} \right)=P(2.3262) \\ \\ \Rightarrow -2.7949+ \frac{5}{7/\sqrt{n}}=2.3262 \\ \\ \Rightarrow \frac{5}{7/\sqrt{n}}=5.1211 \\ \\ \Rightarrow \frac{7}{\sqrt{n}} = \frac{5}{5.1211} =0.9764 \\ \\ \Rightarrow \sqrt{n}= \frac{7}{0.9764} =7.1695 \\ \\ \Rightarrow n=(7.1695)^2=51.4[/tex]
so we need n = 52.
Part F:
p-value = [tex]P-value=P(\bar{X}\leq\bar{x}) \\ \\ =P(\bar{X}\leq72.3)=P\left(z\leq \frac{72.3-76}{7/5} \right) \\ \\ =P\left(z\leq \frac{-3.7}{1.4} \right)=P(z\leq-2.643) \\ \\ =\bold{0.00411}[/tex]
Since p-value is larger that .01 we fail to reject µ = 76.
A paint drying situation, has the standard deviation 1.93. The detailed solution is given below.
Given :
Standard Deviation, [tex]\sigma = 7[/tex]
Mean, [tex]\mu = 75[/tex]
Sample, n = 25
Solution :
A) We know that,
[tex]z = \dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n} }}[/tex] ---- (1)
Now put the values of [tex]\rm x,\;\mu,\;\sigma \;and \;n[/tex] in equation (1) we get,
[tex]z = \dfrac{72.3-75}{\dfrac{7}{\sqrt{25} }}[/tex]
z = -1.93
Therefore, 72.3 is 1.93 standard deviations below the mean.
B) From the above part we know that z = - 1.93.Therefore p-value is,
P(-1.93) = 0.03
Since [tex]\alpha[/tex] = 0.01 and p-value = 0.03, this means that the p-value is greater than the fail to reject the null hypothesis.
C) The p-value for [tex]z\leq -2.8[/tex]
is 0.00256
Therefore, the [tex]\alpha[/tex] for the test procedure that rejects the null hypothesis when [tex]z\leq -2.8[/tex] is 0.0026.
D) For alternate hypothesis,
[tex]\rm \beta (\mu') = P(X>\mu_0-z_1_-_\alpha \frac{\sigma}{\sqrt{n} }|\mu')[/tex]
[tex]\rm = P(-z_1_-_\alpha +\dfrac{\mu_0-\mu'}{\dfrac{\sigma}{\sqrt{n} }})[/tex]
For [tex]\alpha[/tex] = 0.0026
[tex]\rm \beta (70)=1- P(-z_0_._9_9_7_4 +\dfrac{75-70}{\dfrac{7}{\sqrt{25} }})[/tex]
[tex]\rm \beta (70) = 1-P(-2.7949+3.5714)=1-P(0.7765)[/tex]
[tex]\beta (70)=1-0.78128\approx 0.2187[/tex]
E) Now we want n when
[tex]\beta (70) = 0.01[/tex]
[tex]\rm 0.01=1- P(-z_0_._9_9_7_4 +\dfrac{75-70}{\dfrac{7}{\sqrt{n} }})[/tex]
[tex]P(-2.7949+\dfrac{5}{\dfrac{7}{\sqrt{n} }})=0.99[/tex]
[tex]P(-2.7949+\dfrac{5}{\dfrac{7}{\sqrt{n} }})=P(2.3262)[/tex]
[tex]-2.7949+\dfrac{5}{\dfrac{7}{\sqrt{n} }}=2.3262[/tex]
[tex]\rm \sqrt{n} = 7.1695[/tex]
n = 51.4
Therefore we need n = 52.
F)
[tex]\rm p-value = P(\bar{X}\leq \bar{x})[/tex]
[tex]\rm p-value = P(\bar{X}\leq 72.3)=P(z\leq \dfrac{72.3-76}{\dfrac{7}{5}})[/tex]
[tex]\rm p-value = P(z\leq -2.643)[/tex]
[tex]\rm p-value = 0.00411[/tex]
Since p-value is larger that .01 therefore we fail to reject [tex]\mu[/tex] = 76.
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A rectangle has a width of 44 centimeters and a perimeter of 180 centimeters what is the rectangle length
Answers
The cost to mail a first-class letter is $0.47 for the first ounce. Each additional ounce costs $0.22. Fractions of an ounce are rounded up to the next whole ounce. How much would it cost to mail a letter that weighs 2.7 ounces? pleaseee
Answers
Each of 5 birdwatchers reported seeing 15 roseate spoonbills in a day. If they each reported seeing the same nunber of roseate spoonbills over 14 days, how many would be reported?
Answers
Use this information to find the value of b.
c = 25
s = 9
b = 4c - s2
Answers
Write out the formula again:
b = 4c - s².
Substitute your numbers in:
b = 4(25) - (9)²
Simplify:
4 x 25 = 100
9² = 81
b = 100 - 81
Solve:
100 - 81 = 19
b = 19.
Hope This Helps You!
Good Luck :)
- Hannah ❤
To find the value of b in the equation 25s = 9b = 4c - s^2, we can substitute the given values and solve using the quadratic equation.
Explanation:To find the value of b, we can use the given information and substitute the values of a, b, and c into the quadratic equation.
The equation is: c = 25s = 9b = 4c - s^2
Substituting the values:
25s = 9b = 4c - s^2
25s = 9b = 4c - s^2
Now we can solve for b:
9b = 4c - s^2
9b = 4(-0.0211) - (9)^2
9b = -0.0844 - 81
9b = -81.0844
b = -81.0844/9
b = -9.01
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What is another way to express 64?
A) 34
B) 64
C) 6.4 x 102
D) 82
Answers
Answer:
D) 8²
Step-by-step explanation:
Evaluate each of the choices and see which one is equal to 64.
_____
It helps if appropriate mathematical symbols are used.
Sean Matthews is a waiter at the Duluxe Lounge. In his first weekly pay in March, he earned $300.00 for the 40 hours he worked. In addition, he reports his tips for February to his employer ($500.00), and the employer withholds the appropriate taxes for the tips from this first pay in March.
Answers
Sean Matthews' weekly earnings are subject to payroll taxes, including his tips. The deductions for social security and medicare are split between him and his employer. Understanding how these deductions work can enable him to maximize his total earnings.
Explanation:The subject of the question pertains to Sean Matthews' earnings at the Duluxe Lounge, which involves payroll taxes on his wages and tips. From his regular wages of $300.00 for 40 hours, "payroll taxes" of 6.2% for Social Security and 1.45% for Medicare are deducted. The same deductions also apply to his reported tips of $500.00. These deductions are shared between Sean and his employer, though, it's possible that the employer's share might effectively be passed onto Sean in the form of lower wages.
Learning and understanding these financial procedures can significantly help individuals like Sean to maximise their total earnings.
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$736 will be his Net take home.
Net pay is the money you have left when your paycheck makes its way to you and all of the required taxes are taken out. To find Sean's net pay, both his earned wages and the reported tips will be considered for tax deductions.
Calculate total earnings for the week:
Wages = $300.00.
Total earnings = Wages + Tips = $300.00 + $500.00 = $800.00.
Assume a tax rate (federal, state, and other taxes) of 2%
Tax deductions = $800.00 x 2% = $16.00.
Calculate net pay:
Net pay = Total earnings - Tax deductions = $800.00 - $16.00 = $736.00.
complete question:
Sean Matthews is a waiter at the Deluxe Lounge. In his first weekly pay in March, he earned $300.00 for the 40 hours he worked. In addition, he reports his tips for February to his employer ($500.00), and the employer withholds the appropriate taxes for the tips from this first pay in March.Calculate his net take-home pay assuming the employer withheld federal income tax (wage-bracket, married, 2 allowances), social security taxes, and state income tax (2%).
LMN Office Company sells 20 printer cartridges for $240. XYZ Supplies has a box of printer cartridges for $150. The box contains 12 cartridges.
Which company has the least expensive cartridge? choose one of the following
LMN Office Company?
XYZ Supplies?
They are the same?
Not enough information?
Answers
The company which has the least expensive cartridge is:
LMN office company.
Step-by-step explanation:LMN Office Company sells 20 printer cartridges for $240.
This means that the cost of 1 printer cartridge is: $ 240/20=$ 12
Also, . XYZ Supplies has a box of printer cartridges for $150.
The box contains 12 cartridges.
This means that the cost of 12 cartridge is: $ 150
Hence, cost of 1 printer cartridge is: $ 150/12=$ 12.5
Hence, the company which has the least expensive cartridge is:
LMN Office Company.
( Since, 12 < 12.5 )
How does dividing the coins into equal groups help solve the problem
Answers
what degree of rotation will cause the triangle below to map onto itself
Answers
Answer:
Option A is correct that is [tex]360^{\circ}[/tex]
Step-by-step explanation:
We have been given a triangle we need to tell which one of these is a triangle below to map onto itself.
[tex]360^{\circ}[/tex] rotation is the complete rotation which eventually leads to the same figure which is given.
Option A is correct that is [tex]360^{\circ}[/tex] that will cause the triangle below to map onto itself.
A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
Answers
Answer:
The value of a=6[/tex]
Step-by-step explanation:
step 1:-
col linearity of three points :-
We know that slopes of two parallel lines are equal.If two lines having the same slope pass through a common point ,then two lines will coincide . Hence ,If A,B,C are three points in the X Y- plane, then they will lie on a line,
that is three points are col linear if and only if Slope of AB= slope of BC
step 2:-
Since the given three points are col-linear, we have
Slope of AB= slope of BC
given points are A(2,-2) ,B(-6,2) and C(a,-4)
Step 3 :-
Slope of AB= slope of BC
[tex]\frac{2-(-2)}{-6-2} =\frac{-4-2}{a+6}[/tex]
[tex]\frac{-1}{2} =\frac{-6}{a+6}
by cross multiplication
we get \\a+6=12\\
Step 4:-
The value of a=6[/tex]
Over the last 50 years, the average temperature has increas ed by 2.5 degrees worldwide (I made this up). What is the rate of change in worldwide temperatures per year?
Answers
rate of change= temperature change / duration
rate of change= 2.5 degrees / 50 years = 0.05 degrees / year
Ella has three flower beds each has four rows of flowers in it if there are 24 flowers in each row how many flowers are there in all
Answers
What inequality represents the graph?
Answers
The inequality that represents the graph is y < x.
Explanation:The inequality that represents the graph is y < x. This inequality represents the region below the line that forms the graph. In this case, the line starts at the origin and has a slope of 1, meaning that for every increase of 1 unit on the x-axis, the y-coordinate increases by 1 unit as well.
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Find the largest number which divides 149 and 101 , leaving remainder of 5
Answers
The largest number which divides 149 and 101 , leaving remainder of 5 : 48
Further explanationThe division operation is one of the basic arithmetic operations
Common signs used are [tex] \large {\boxed {:}}} [/tex] or [tex] \large {\boxed {\slash}} [/tex]
The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel
The division is actually an iterative subtraction operation (as many as the number of divisors)
Division is the opposite of multiplying
The general form of division can be stated by:
[tex] \large {\boxed {\bold {divident:divisor=quotient+remainder}} [/tex]
example:
7: 3 = 2 + 1
Division operation statement:
"7 divided by 3 equals 2 remainder 1"
7 = dividend 3 = divisor 2 = quotient 1 = remainderA number have many factors
A common factor is a factor of two / more numbers.
Greatest common factor (GCF or HCF = Highest Common Factor) is the largest of the common factors
The largest number which divides 149 and 101 leaving remainder of 5
Division operation:
149: x = y +5 101: x = z + 5We find the value of x which is the GCF of the numbers 144 and 96
149 - 5 = 144
101 - 5 = 96
We look for GCF from factors of 144 and 96
144: 1, 2, 3, 4, 6, 8, 9, 16, 18, 24, 36, 48, 72, 144 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96GCF of 144 and 96 is 48
Or we can use prime factors:
144: 2⁴ X 3²
96: 2⁵ X 3
GCF = 2⁴ X 3 = 48
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Keywords : Greatest common factor , division, prime factors
How do you choose the level of accuracy given the limitations of a situation?
Answers
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.7 years, and standard deviation of 2.5 years. if you randomly purchase one item, what is the probability it will last longer than 8 years?
Answers
First let us calculate for the z score using the formula:
z = (x – u) / s
where x = 8, u is the mean = 12.7 years, s is the standard deviation
z = (8 – 12.7) / 2.5
z = -1.88
From the standard probability tables, the p value at z = -1.88 is:
P = 0.0301 = 3.01%
Meg is printing a term paper for class at the rate shown in the table below. If the term paper is 60 pages long, how many total minutes will it take to print out? Assume that the printer prints the pages at a constant rate.
Answers
So, 4 times 6 (since we have to print 15pages 4 times) = 24minuets
How long would 60 pages take to print? We want to eliminate the unit "pages" in favor of "min." So, multiply "60 pages" by (2 min) / (5 pages). "pages" will cancel:
60 pages 2 min
------------- * -------------- = 24 minutes (answer)
1 5 pages
A useful rule of thumb called the "rule of 70" states that if something grows at a constant rate of z percent per year, it doubles in size approximately every __________ years.
a. z/70
b. 70/z
c. 70 - z
d. 70 × (z/100)
Answers
One of the zeros of the polynomial function is 2.
f(x)=x4−3x3−23x2+75x−50
What is the factored form of the function?
f(x)=(x−5)(x+5)(x−2)2f(x)=(x−5)(x+5)(x−2)(x−1)f(x)=(x−5)(x+5)(x−2)(x+1)f(x)=(x−5)(x+5)(x−1)2
Answers
Answer:
Heres the correct answer. Hope this helps anyone who needs it!!!
Step-by-step explanation:
The polynomial function is one that involves only non-negative number powers of x, unlike a polynomial, cubic, or quartic function, and further calculation can be defined as follows:
Given:
[tex]\bold{f(x)=x^4-3x^3-23x^2+75x-50}[/tex]
To find:
Solution:
[tex]\to \bold{f(x)=x^4-3x^3-23x^2+75x-50}[/tex]
Let [tex]\bold{x=2}[/tex]
[tex]\to \bold{f(2)=2^4-3(2)^3-23(2)^2+75(2)-50}\\\\\to \bold{f(2)=16-3(8)-23(4)+75(2)-50}\\\\\to \bold{f(2)=16-24-92+150-50}\\\\\to \bold{f(2)=166-166}\\\\\to \bold{f(2)=0}\\\\[/tex]
So the factor is [tex]\bold{(x-2)}[/tex].
[tex]\to \bold{(x-5)(x-2)(x-1)(x+5)}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{ f(x)=(x-5)(x-2)(x-1)(x+5)}\\\\[/tex]".
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