Answer:
4.12 kg
Step-by-step explanation:
Regular cakes:
1 dozen normal sponge cakes: 264 g plain flour
Vegetarian cakes:
1 dozen cakes: 264 g plain flour
4 eggs are replaced by 4 * 30 g of flour = 120 g flour
total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g
Proportion for regular cakes:
12 cakes to 264 g flour = 100 cakes to x grams flour
12/264 = 100/x
12x = 26400
x = 2200
2200 g flour for 100 regular cakes
Proportion for vegetarian cakes:
12 cakes to 384 g flour = 60 cakes to y grams flour
12/384 = 60/y
12y = 384 * 60
12y = 23040
y = 1920
1920 g flour for 60 vegetarian cakes
Total flour needed:
2200 g + 1920 g = 4120 g
4120 g * 1 kg/(1000 g) = 4.12 kg
Answer: 4.12 kg
a box contains 20 blue marbes, 16 green marbles, and 14 red marbles. two marbles are selected at random. let 3 be the event that first marbke selected is green. find p(fe) g
Answer:
Let E be the event that the first marble selected is green. Let F be the event that the second marble selected is green. A box contains 20 blue marbles, 16 green marbles and 14 red marbles P(F/E)=15/49 because if the first marble selected is green there are 49 in total and 15 are green. I think this is it.
Step-by-step explanation:
-3 1/2= 1/2x+1/2x+x A)-1 3/4 B)-5 1/2 C)-1 1/2 10points each
Answer:
-1 3/4 =x
Step-by-step explanation:
-3 1/2= 1/2x+1/2x+x
Combine like terms
-3 1/2 = 2x
Change to an improper fraction
- ( 2*3+1)/2 = 2x
-7/2 = 2x
Multiply each side by 1/2
-7/2 *1/2 = 2x* 1/2
-7/4 = x
Changing to a mixed number
-4/4 -3/4 =x
-1 3/4 =x
What is the solution set to log:(4x + 2) + 4 2 5?
(-0.5, 00)
[1.5, 00)
thy5.c)
[5,00)
Answer: (-0.5,00)
number one i think good luck
Step-by-step explanation:
-6+4q+(-6q)−6+4q+(−6q)minus, 6, plus, 4, q, plus, left parenthesis, minus, 6, q, right parenthesis ?
Answer:
-16-5q
Step-by-step explanation:
-6+4q-6q-6+4q-6q-6+4q-6q= -18-6q
Answer:C
Step-by-step explanation: 100% correct I did it on Khan Academy
At the bookstore near Martha's home, hardcover books cost 21 dollars. The cost of a paperback book is only 4/7 of the cost of a hardcover book. How many dollars will Martha have to pay for one paperback book?
Answer:
The cost of the paper book= $12
Step-by-step explanation:
Hardcover books costs $21
But paper book cost only a fraction of the hardcover book.
The paper book cost 4/7 of the hardcover book.
The cost of paper book= 4/7* paper book
The cost of paper book = 4/7*$21
The cost of the paper book= 4*3
The cost of the paper book= $12
Chicos ayudenme rápidito urgente plis es para ahorita al menos con algunos plis doy corona al que me ayuda pero porfavor ayudenme sii ayudenme
Bueno, usaré el español xD
11. Recordemos que entre más negativo es un número, menor es.
a) - 6 > - 10
ya que - 10 es más negativo, por consiguiente es menor, esto llega a confundir ya que tenemos la noción de que si vemos una cifra alta, por consiguiente es mayor, esto pasa en los positivos.
b) 12 > - 16
c) - 7 < 0
d) 35 > - 80
e) -37 < - 24
f) - 40 < 15
g) - 18 < 10
h) - 17 < 0
i) |-21| = |21|
El valor absoluto de un número negativo es su positivo, por lo que también puede ser:
21 = 21.
j) |176| > 0, o también 176 > 0
k) |-479| > |478|, o también 479 > 478
l) |-1375| = |1375|, o también 1375 = 1375
12. De menor a mayor.
a) - 8, - 7, - 4, 0, 3
b) - 16, - 12, - 7, 8, 9
c) - 15, - 13, 0, 9, 11
d) - 47, - 43, - 31, 14, 29
e) - 17, - 15, - 12, 16, 19
f) - 26, - 21, - 10, 17, 26
g) - 61, - 58, - 49, 30, 50
13. De mayor a menor.
a) 6, 4, - 1, - 5, - 7
b) 8, 0, - 7, - 11, - 13
c) 19, 6, - 8, - 10, - 17
d) 21, - 9, - 18, - 24, - 27
e) 53, 47, - 6, - 43, - 48
f) 14, 6, - 18, - 39, - 45
g) 24, 16, 12, - 12, - 17
Salu2
Matt won 95 pieces of gum playing hoops at his school's game night. Later, he gave three to each of his friends. He only has 8 remaining. How many friends does he have?
Answer:
11
Step-by-step explanation:
95/8=11.875
so he has around about 11-12 friends
Answer:
the answer is 29. i placed down 3 dots until i hit 95, counted 8 dots, and started group the 3 dots i put together, so i made sure i didnt count the eight ( pieces of gum) and i started counting the groups of three and i got 29. there was 29 groups of three.
Step-by-step explanation:
When the input is 4, the output of f(x) = x + 21 is
Answer:
25Step-by-step explanation:
When the input is 4, the output of f(x) = x + 21 is f(4).
Substitute x = 4 to f(x):
f(4) = 4 + 21 = 25
Answer:
25
Step-by-step explanation:
We can find the output by plugging in 4 as x into the function:
f(x) = x + 21
f(4) = 4 + 21
f(4) = 25
Based on what you've read, answer the following questions.
1. How far can your car go on one tank of gas if the tank holds 16 gallons and you average 23
miles of driving per gallon?
Answer:
368 miles
Step-by-step explanation:
when we multiply 23 by 16 we get 368 miles .
23x16=368
Answer:
368 miles
Step-by-step explanation:
Formula:
Distance = gallons * miles per gallon
Givens
gallons: 16
miles per gallon: 23
Solution
distance = 16 * 23
distance = 368 miles
What is the length of in the right triangle below?
A.
150
B.
25
C.
D.
625
Answer:
25
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2
We know the two legs and want to find the hypotenuse
15^2+ 20 ^2 = c^2
225 + 400 = c^2
625 = c^2
Taking the square root of each side
sqrt(625) = c^2
25 = c
The length of needles produced by a machine has standard deviation of 0.04 inches. Assuming that the distribution is normal, how large a sample is needed to determine with a precision of ±0.005 inches the mean length of the produced needles to 98% confidence?
Answer:
The sample size is [tex]n = 87[/tex]
Step-by-step explanation:
From the question we are told that
The standard deviation is [tex]\sigma = 0.04 \ inches[/tex]
The precision is [tex]d = \pm 0.005 \ inches[/tex]
The confidence level is [tex]C =[/tex]98%
Generally the sample size is mathematically represented as
[tex]n = \frac{ Z_{\frac{\alpha }{2} } ^2* \alpha^2 }{d^2}[/tex]
Where [tex]\alpha[/tex] is the level of significance which is mathematically evaluated as
[tex]\alpha = 100 - 98[/tex]
[tex]\alpha = 2[/tex]%
[tex]\alpha = 0.02[/tex]
and [tex]Z_{\frac{\alpha }{2} }[/tex] is the critical value of [tex]\alpha[/tex] which is obtained from the normal distribution table as 2.326
substituting values
[tex]n = \frac{2.326 ^2* 0.02^2 }{0.005^2}[/tex]
[tex]n = 87[/tex]
A man bought certain number of litches
at 20 per Rs 100 and an equal no. of 30 per
Rs 100. He mixed them and sold them at
25
per Rs 100. Find his
gain or loss
percent?
Answer: The loss is 4%
Step-by-step explanation:
Lets call litches that are 20 pcs per Rs 100 - litches A
that are 30 pcs per Rs 100- litches B
So a man can buy 2 pcs A per Rs 10
and 3 pcs B per Rs 10
OR
6x pcs A per Rs 30x
and 6x pcs B per Rs 20x
Now he gonna sell the 12x litches for y Rs
Lets find y from the proportion
12x cost y
25 cost 100
y/12=100/25
y=48 Rs
So the man bought 6x A + 6x B for 20x+30x=50 Rs
And then he sold them for 48 Rs
Obviously the man gonna loose the money.
Lets find the losses in %
(50-48)/50*100=200/50=4%
The loss is 4%
Maddy and her cousin work during the summer for a landscaping company. Maddy’s cousin has been working for the company longer, so her pay is 30% more than Maddy’s. Last week, Maddy’s cousin worked 27 hours, and Maddy worked 23 hours. Together, they earned $493.85. What is Maddy’s hourly pay?
Answer:
Maddy's hourly pay is $8.50
Step-by-step explanation:
First, we need to use the information given to us to form a system of equations to determine either Maddy's pay, or her cousin's pay. In this case, we are interested in Maddy's pay.
We know her cousin makes 30% more than Maddy, which means she makes 100% of what Maddy makes, and an additional 30%. So we have our first equation:
C = M + .3M = 1.3M, where C is the amount the cousin makes and M is Maddy's pay.
The second piece of information is that in one week, Maddy worked 23 hours, and her cousin worked 27, and together they made $493.85. So now we have our second equation:
27C + 23M = 493.85, where C is the amount the cousin makes and M is the amount Maddy makes.
Now we simply substitute are value of C from the first equation into the second equation like such:
27(1.3M) + 23M = 493.85
And now we solve for M to find Maddy's pay.
27(1.3M) + 23M = 493.85
35.1M + 23M = 493.85
58.1M = 493.85
M = 8.5
To verify our answer is correct, let's find the value of money earned per hour by the cousin using the first equation:
C = 1.3(8.5) = 11.05
Now let's see if the number of hours worked by each and their pay adds up to the 493.85 from the previous week:
27(11.05) + 23(8.5) =? 493.85
298.35 + 195.5 =? 493.85
493.85 == 493.85
So, now we have confirmed that Maddy makes $8.50 per hour, and her cousin makes $11.05 per hour.
Cheers.
An estimator is said to be consistent if: the difference between the estimator and the population parameter grows smaller as the sample size grows larger. it is an unbiased estimator. the variance of the estimator is zero. the difference between the estimator and the population parameter stays the same as the sample size grows larger.
Answer:
the difference between the estimator and the population parameter grows smaller as the sample size grows larger.
Step-by-step explanation:
In Statistics, an estimator is a statistical value or quantity, which is used to estimate a parameter.
Generally, parameters are the determinants of the probability distribution. Thus, to determine a normal distribution we would use the parameters, mean and variance of the population.
An estimator is said to be consistent if the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, for an estimator to be consistent it must have both a small bias and small variance.
Also, note that the bias of an estimator (b) that estimates a parameter (p) is given by; [tex]E(b) - p[\tex]
Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).
A sample variance is an unbiased estimator of the population variance while the sample mean is an unbiased estimator of the population mean.
Generally, a consistent estimator in statistics is one which gives values that are close enough to the exact value in a population.
Which inequality is equivalent to this one y-8_<-2
Answer:
[tex]\boxed{y\leq 6}[/tex]
Step-by-step explanation:
[tex]y-8 \leq -2[/tex]
Adding 2 to both sides
[tex]y \leq -2+8[/tex]
[tex]y \leq 6[/tex]
helpp me please will give brralinst
Answer:
0
Step-by-step explanation:
the answer is 0
Have a great day
25 POINTS
Examine the following solution to a conversion problem. Do you see a mistake? If so, identify the location of the first mistake and explain why it is incorrect.
Original Problem: Convert 3.25 kg to mg
(1) 3.25 kg
(2) 1 kg = 1000 g
(3) 1000 mg = 1g
= (4) 3.25 mg
A) The conversion is not possible.
B) The first problem occurs in column (1). The problem should begin with mg.
C) The first problem occurs in column (2). 1 kg is not equal to 1000 g, so that should not be used as the conversion factor.
D) The first problem occurs in column (2). The conversion factor is upside down (grams should be on top, and kg should be on bottom).
E) The first problem occurs in column (4). The multiplication and division was performed incorrectly.
F) No mistakes.
Thanks a bunch!
Answer:
[tex]\boxed{\sf Option \ E}[/tex]
Step-by-step explanation:
(1) 3.25 kg
(2) 1 kg = 1000 g
(3) 1000 mg = 1g
= (4) 3.25 mg
The first problem occurred in column (4) where we actually had to multiply it by 1000 but we divided it by 1000 and so our conversion was incorrect.
The correct form of it is:
1) 3.25 kg
2) 1 kg = 1000 g ; 3.25 kg = 3250 g
3) 1 g = 1000 mg ; 3250 * 1000 = 3,250,000 mg
4) Answer = 3,250,000 mg
Answer:
[tex]\boxed{\sf Option \ E}[/tex]
Step-by-step explanation:
1 kg = 1000 g
1000 mg = 1g
3.25 kilograms is to be multiplied by 1000 to get the value in grams. Then the result should be multiplied again by 1000 to get the value in milligrams.
3.25 kg ⇒ 3250 g ⇒ 3250000 mg
The first problem occurs in column (4). The multiplication and division was performed incorrectly.
Based on information from a large insurance company, 67% of all damage liability claims are made by single people under the age of 25. A random sample of 52 claims showed that 43 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company? State the null and alternate hypothesis then give the test statistic and your conclusion.
Answer:
We conclude that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company.
Step-by-step explanation:
We are given that based on information from a large insurance company, 67% of all damage liability claims are made by single people under the age of 25.
A random sample of 52 claims showed that 43 were made by single people under the age of 25.
Let p = population proportion of claims made by single people
So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 67% {means that the insurance claims of single people under the age of 25 is smaller than or equal to the national percent reported by the large insurance company}
Alternate Hypothesis, [tex]H_A[/tex] : p > 67% {means that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company}
The test statistics that will be used here is One-sample z-test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of claims made by single people under the age of 25 = [tex]\frac{43}{52}[/tex] = 0.83
n = sample of claims = 52
So, the test statistics = [tex]\frac{0.83-0.67}{\sqrt{\frac{0.67(1-0.67)}{52} } }[/tex]
= 2.454
The value of z-test statistics is 2.454.
Since in the question, we are not given the level of significance so we assume it to be 5%. Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.
Since the value of our test statistics is more than the critical value of z as 2.454 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company.
What does 1/6 of 1272 equal?
Answer:
212
Step-by-step explanation:
Answer:
212
Step-by-step explanation:
you have to first divide 1272 by 6 or you can find a number that you can multiply it by so what times 6 equals 1272 so it is guess and check meathodso 200x6 = 1200, and 12x6= 721200+72=1272 and 200+12=212Which of the following equations are identities? Check all that apply.
A. sec x=
CSC X
1
B. CSCX=
sinx
1
C. tanx=
secx
D. tanx=
sin x
COS
Answer:
B. CSCX= sinx / 1
D. tanx= sin x / COS x
Step-by-step explanation:
A. sec x= 1/cos(x)
CSC X / 1 = sin(x)
B. CSCX
sinx / 1 = csc(x)
C. tanx= sin(x) / cos(x)
secx = 1 / cos(x)
D. tanx= sin(x) / cos (x)
sin (x) / cos(x)
The correct option is (D). tanx = sinx/cosx
Option (D). is correct.
What is Trigonometry?The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant. Can be used for practical applications.
As per the given data:
We are given some trigonometric identities, and we have to find out which of the given identities in the options are correct.
(A). secx = cscx/1
This is incorrect, as secx = 1/cosx
(B). cscx = sinx/1
This is incorrect, as cscx = 1/sinx
(C). tanx= secx
This is incorrect, as tanx = sinx.secx
(D). tanx = sinx/cosx
This is correct as, tanx = sinx/cosx
The correct option is (D). tanx = sinx/cosx
Hence, The correct option is (D). tanx = sinx/cosx
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Resultado de x²-3x=0
Answer:
0, 3
Step-by-step explanation:
Hola,
[tex]x^2-3x=0\\\\x*x-3*x=0\\\\x(x-3)=0\\\\x= 0 \ or \ x=3\\[/tex]
Espero que esto ayudes
Answer:
x = 0 O x = 3
Step-by-step explanation:
[tex]x^2-3x = 0[/tex]
tomando x común
x(x-3) = 0
Ya sea,
x = 0 O x-3 = 0
x = 0 O x = 3
Solve the equation below for x. -1 2(3x - 4) = 11
Answer:
x= 37/36
Step-by-step explanation:
−12(3x−4)=11
Step 1: Simplify both sides of the equation.
−12(3x−4)=11
(−12)(3x)+(−12)(−4)=11(Distribute)
−36x+48=11
Step 2: Subtract 48 from both sides.
−36x+48−48=11−48
−36x=−37
Step 3: Divide both sides by -36.
−36x
−36
=
−37
−36
x=
37
36
Answer:
x=
37
36
-1/2(3x-4) = 11
Multiply both sides by -2:
3x-4 = -22
Add 4 to both sides:
3x = -18
Divide both sides by 3:
X = -6
The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points does the image cross the x-axis?
Answer:
[tex]\large \boxed{\sf \ \ \ (-8,0) \ \text{ and } \ (4,0) \ \ \ }[/tex]
Step-by-step explanation:
Hello,
from the expression of f(x) we can say that there are two zeroes, -8 with a multiplicity of 1 and 4 with a multiplicity of 1.
So the image of the parabolic lens crosses the x-axis at two points:
(-8,0)
and
(4,0)
For information, I attached the graph of the function.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
a circle has a radius of 6/7 units and is centered at (-2.3,0) What is the equation of the circle
Answer:
(x+2.3)^2 + (y) ^2 = (6/7)^2
Step-by-step explanation:
The equation of a circle can be written as
(x-h)^2 + (y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
(x- -2.3)^2 + (y-0) ^2 = (6/7)^2
(x+2.3)^2 + (y) ^2 = (6/7)^2
One number is 6 more than another. Their product is -9. Need help fast
Answer: the numbers are 3 and -3
Step-by-step explanation:
let the unknown number be x
The first UNKNOWN NUMBER = X
The second unknown number is = 6 + x
Their product = -9
(X)(6 + X) = -9
6x +[tex]x^{2}[/tex]=-9
[tex]x^{2}[/tex] +6x +9=0
we multiply the coefficient of x which is 1 with 9
now, we look for two numbers that when multiplied will give us 9 and when added will give 6 and that is 3 and 3
[tex]x^{2}[/tex] +3x+3x +9 = 0
x(x+3) +3(x+3) = 0
(x +3 ) = 0
or (x +3)=0
x +3 =0
x=0 -3
x =-3
x +3=0
x =0-3
x =-3
since the numbers are the same ,we pick one
therefore,the first number =x =-3
the second number is 6 + x=6 + (-3)
6-3=3
For the functions f(x)=4x−3 and g(x)=3x2+4x, find (f∘g)(x) and (g∘f)(x).
Answer:
(16x + 21) and (16x - 6)
Step-by-step explanation:
f(g(x)) = f(6 + 4x)
Applying the f(x) function on (6 + 4x) gives
4(6 + 4x) - 3
Which equals 16x + 24 - 3
= 16x + 21
g(f(x)) = g(4x - 3)
Applying the g(x) function on (4x - 3) gives
6 + 4(4x - 3)
Which equals 6 + 16x - 12
= 16x - 6
Answer:
(g∘f)(x)=48x2+48x+10
(g∘f)(x)=12x^2-6
Step-by-step explanation:
To find (f∘g)(x), use the definition of (f∘g)(x),
(f∘g)(x)=f(g(x))
Substituting 3x2−2 for g(x) gives
(f∘g)(x)=f(3x2−2)
Find f(3x2−2), where f(x)=4x+2, and simplify to get
(f∘g)(x)(f∘g)(x)(f∘g)(x)=4(3x2−2)+2=12x2−8+2=12x2−6
To find (g∘f)(x), use the definition of (g∘f)(x),
(g∘f)(x)=g(f(x))
Substituting 4x+2 for f(x) gives
(g∘f)(x)=g(4x+2)
Find g(4x+2), where g(x)=3x2−2, and simplify to get
(g∘f)(x)=3(4x+2)^2−2
(g∘f)(x)=48x2+48x+12−2
(g∘f)(x)=48x2+48x+10
Look at picture (15 point)
Answer:
[tex]x \sqrt{2} [/tex]Option C is the correct option
Step by step explanation
[tex] \sqrt{ \frac{22 {x}^{6} }{11 {x}^{4} } } [/tex]
Reduce the fraction with 11
[tex] \sqrt{ \frac{2 {x}^{6} }{ {x}^{4} } } [/tex]
Simplify the expression
[tex] \sqrt{2 {x}^{6 - 4} } [/tex]
[tex] \sqrt{2 \: {x}^{2} } [/tex]
Simplify the radical expression
[tex]x \sqrt{2} [/tex]
Hope this helps...
Good luck on your assignment..
Write an equation for the line that passes through the point (4,5) and is perpendicular to−7x+y=2. Use slope-intercept form.
Answer:
y= -1/7x + 39/7
Step-by-step explanation:
Slope - intercept form is:
y= mx +b, where m represents the slope of the lineGiven the line:
- 7x +y= 2,which can be shown as:
y= 7x+2 if we add 7x to both sides of equationWe need to write an equation for the line that it perpendicular to the given line and passes through the point (4,5)
As we know, perpendicular line has a slope opposite-reciprocal to the given, so the slope is:
m= - 1/7and the form of the line is:
y= -1/7x +bWe can find b, by using the point (4, 5), which means x=4 and y=5:
5= -1/7 * 4 + b ⇒ b= 5+ 4/7= 5 4/7 = 39/7And the equation for this line is:
y= -1/7x + 39/7A spinner has 4 equal sectors with tour options Dubai, Seoul, Switzerland, and Paris. What is the probability of landing on Seoul or Paris after spinning spinner
The probability of landing on Seoul or Paris after spinning spinner is 1/2 .
What is Probability ?Probability is the measure of likeliness of an event to happen.
It is given that
Total Outcomes = 4 ( Dubai, Seoul, Switzerland, and Paris)
the probability of landing on Seoul or Paris after spinning spinner = ?
The probability of Landing on Seoul P(S) is 1 /4
The probability of Landing on Paris P(P) is 1 /4
The probability of landing on Seoul or Paris after spinning spinner is
P( S∪P) = P(S) + P(P)
= (1/4) + (1/4)
= 1/2
Therefore , The probability of landing on Seoul or Paris after spinning spinner is 1/2 .
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Write the equation of the graph shown below in the factored form f(x) = (x + 2) (x - 1) (x - 3) f(x) = (x - 2) (x + 1) (x + 3) f(x) = (x + 2) (x + 1) (x + 3) f(x) = (x - 2) (x - 1) (x - 3)
Answer:
[tex]f(x)=(x-1)\,(x-3)\.(x+2)[/tex]
which agrees with the first answer shown in the list of possible options.
Step-by-step explanation:
Notice that there are three roots for this polynomial clearly shown on the graph's crossings of the x axis: x = 1, x = 3, and x = -2.
Therefore, based on such, we can write three binomial factors of the form [tex](x-root)[/tex] for the polynomial:
[tex]f(x)=(x-1)\,(x-3)\.(x-(-2))=(x-1)\,(x-3)\.(x+2)[/tex]