Type the correct answer in each box. If necessary use / for fraction bars.

Type The Correct Answer In Each Box. If Necessary Use / For Fraction Bars.

Answers

Answer 1

Answer: Bill has 12 cards

Alan and Calvin both have 19 cards each.'

Step-by-step explanation:

Let x= Number of cards Bill has.

Then Alan has cards = [tex]2\dfrac{1}{2}x-11=\dfrac{5}{2}x-11[/tex]

Calvin has cards = [tex]1\dfrac{1}{2}x+1=\dfrac{3}{2}x+1[/tex]

Since Alan and Calvin has equal number of cards.

Then, [tex]\dfrac{5}{2}x-11=\dfrac{3}{2}x+1[/tex]

[tex]\Rightarrow\ \dfrac{5}{2}x-\dfrac{3}{2}x=1+11\\\\\Rightarrow\ \dfrac{5-3}{2}x=12\\\\\Rightarrow\ \dfrac{2}{2}x=12\\\\\Rightarrow\ x=12[/tex]

So, Bill has 12 cards

Then, Alan has cards = [tex]\dfrac{5}{2}(12)-11=30-11=19[/tex]

Calvin has cards = [tex]\dfrac{3}{2}(12)+1=18+1=19[/tex]

So, Alan and Calvin both have 19 cards each.


Related Questions

Somebody please prove if a triangle with side length of 6,8,10 is a right triangle using the Pythagorean theorem!! Will mark Brainliest

Answers

Answer:
Pythagorean’s theorem states that if a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the side lengths of the right triangle

Given that we can plug in
a= 6 , b = 8 , c = 10

We get an equation:

6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100

According to Euclidean geometry, a plane contains at least points that on the same line

Answers

Answer:

three, do not lie

Step-by-step explanation:

Edmentum/Plato

Since the ratios all come out to be the same, that means the triangle are


A) Congruent

B) similar

Answers

Answer:

similar.........hope its helpful

I think similar is the correct answer

Order of Operations (BEDMAS) with Fractions and Mixed Numbers Evaluate

Answers

BEDMAS

Brackets —> Exponents —> Division —> Multiplication —> Addition —> Subtraction

Is the order of operation.

Question 1

1/2 + 1/3 is down first (brackets)

Multiply both fractions to get same denominator

3/6 + 2/6

= 5/6

5/6 • 2/5 = 10/30

Answer is 1/3

Question 2

11/10 divided by 22/5 first (division)

11/10 divided by 22/5 is the same as multiplying 11/10 by the reciprocal of 22/5

So

11/10 • 5/22 = 1/4

5/16 - 1/4

Make denominators the same through multiplying the individual fractions

5/16 - 4/16

=1/16

Answer is 1/16

What is the equation of the line that is parallel to the given line and passes through the point (12, −2)? y = –Six-fifths x + 10 y = –Six-fifths x + 12 y = –Five-sixths x – 10 y = Five-sixths x – 12

Answers

Answer:

y = Five-sixths x – 12

Step-by-step explanation:

In the picture attached, the given line is shown. Its slope is:

m = [6 - (-4)]/[12 - 0] = 5/6

The line that is parallel to the given line has the same slope.

A line with slope m that pass through (x1, y1) satisfies:

y - y1 = m(x - x1)

Replacing with m = 5/6 and point (12, -2):

y - (-2) = 5/6(x - 12)

y + 2 = 5/6x - 10

y = 5/6x - 10 - 2

y = 5/6x - 12

Answer:

D

Step-by-step explanation:

A. Tetrahedron
B. Icosahedron
C. Hexahedron
O D. Octahedron

Answers

Answer:

A

Step-by-step explanation:

A tetrahedron is a triangular pyramid.

Answer:

Option A

Step-by-step explanation:

This is a tetrahedron (having 4 faces) that is why it is called a tetra(four) hedron(faces)

Chet has some 23 cent, 32 cent and 37 cent stamps. Their total value is $9.90. There are twice as many 32s as 23s, and five more 37s than there are 32s. How many stamps does Chet have ? Total # of stamps:___________

Answers

Answer:

5 of 23 cents

10 of 32 cents

15 of 37 cents

In total that is 30 stamps.

Step-by-step explanation:

This is going to be long, so bear with me.

0.23x  + 0.32y +0.37z = 9.90

Here we define our variables.

Because we know that there is twice as much 32 cent stamps compared to 23 cents, we know: y =2x

So we can change that in the equation.

0.23x + 0.32(2x) + 0.37z = 9.90

0.23x + 0.64x + 0.37z = 9.90

We also know that there are 5 more 37 cent stamps than 32 cents.

So we can change all instances of z to 2x+5

0.23x + 0.64x + 0.37z(2x+5) = 9.90

0.23x +0.64x +0.74x +1.85 =9.90

Algebra:

0.23x +0.64x +0.74x = 9.90 -1.85

1.61x = 8.05

x = 5

From here we can just substitute it out and we find our values.

x = 5

y = 5 * 2

z = (5*2) +5

help plz im bad at math help me plz

Answers

Answer:

There is a 40% chance that the next page that Luna turns to will have an ad.

Step-by-step explanation:

384 divided by 960 is equal to 4/10.  That is the same as 40%.

Hope this helps :)

Answer:

40%

Step-by-step explanation:

The probability is 384 out of 960

Which equals to:

384/960 × 100%= 40%

Answer is 40%

Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

1/2n-7

(0×3)+4

(p×5)-2

7+r

s+7

10-t

u-10

2×v

w×2

x÷5

5÷y

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

14) 1/2n - 7

15) 3o + 4

16) 5p - 2

17) 7 + r

18) s + 7

19) t - 10

20) 10 - u

21) 2v

22) 2w

23) x ÷ 5

24) 5 ÷ y

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Pls Answer this question

Answers

Answer:

f(3) = 1

Step-by-step explanation:

We have been given:

f(1) = 25

f(n) = f(n-1) · (-1/5)

Find f(2) by substituting n=2 in the given equation:

f(n) = f(n-1) · (-1/5)

f(2) = f(2-1) · (-1/5)

f(2) = f(1) · (-1/5)

where f(1) given in the question is 25, substitute it in the equation

f(2) = 25 · (-1/5)

f(2) = -5

Find f(3) by substituting n=3 in the given equation

f(n) = f(n-1) · (-1/5)

f(3) = f(3-1) · (-1/5)

f(3) = f(2) · (-1/5)

where f(2) found in the previous step was -5, substitute it in the equation.

f(3) = -5 · (-1/5)

f(3) = 1

Which angle on a circle graph does 36% represent?

Answers

Answer:

There are 360° in a full circle. 36% of 360 = 0.36 * 360 = 129.6° which rounds to 130°.

Answer:

x= 130°

Step-by-step explanation:

We want to khow what is the size of the angle that coresponds 36  percent

we can state :

360 degree ⇒100 percent x (the angle we are looking for)⇒ 36 percent using the proportionality relation : x=  (360*36)/100x = 129.6° round it x= 130°

Complete the equation...

Answers

Answer:

x^2 -14x +49

( x-7)^2

Step-by-step explanation:

x^2 -14x

We are completing the square

Take the coefficient of x

-14

Divide by 2

-14/2 = -7

Square it

(-7)^2 = 49

Add it

x^2 -14x +49

Take the -7

( x-7)^2

Answer:

D.

Step-by-step explanation:

x^2-14x+49=(x-7)^2

Which of the given points would be on a graph of the function below.

f(x)=a(b)^x+c

A. (0, b+c)
B. (0, b)
C. (0, a+c)
D. (0, c)​

Answers

Answer:

c

Step-by-step explanation:

if you substitute 0 into the original equation you get the point 0, a+c

I’m pretty sure it’s C. I hope this helps;)

SOMEONE PLEASEEEEE HELLPPP !! The diameters of Breaburn apples are normally distributed with a mean of 8.2cm and a standard deviation of 2.8cm. If you had a shipment of 2000 apples, how many apples would have a diameter: a) smaller than 5.9cm? b) larger than 10.2cm?

Answers

Answer:

a. 412

b. 478

Step-by-step explanation:

We have to find the corresponding probabilities using the standard normal table, that is, we must calculate the value of z, the formula of z is as follows:

z = (x - m) / sd

where x is the value to evaluate, m is the mean and sd is the standard deviation.

We are told that the mean is 8.2 cm and the standard deviation is equal to 2.8 cm.

a. smaller than 5.9cm?

In this case x would be 5.9, we replace and we are left with:

z = (x - m) / sd

z = (5.9 - 8.2) /2.8

z = -0.82

If we look for this value in the normal table (attached) it corresponds to 0.2061, to know the number of apples we must multiply this value by the total value of apples, that is 2000. Therefore:

2000 * 0.2061 = 412.2 = 412

b) larger than 10.2cm?

In this case x would be 10.2, we replace and we are left with:

z = (x - m) / sd

z = (10.2 - 8.2) /2.8

z = 0.71

In this case z corresponds to 0.7611, but since this is the value is smaller than 10.2, and we need is larger than 10.2cm, it would be the complement, that is:

1 - 0.7611 = 0.2389

Now to calculate the total number of apples we have:

2000 * 0.2389 = 477.8 = 478

This is a math question. Solve for x - 5x = 15?

Answers

Answer:

x = -3.75

Step-by-step explanation:

First, combine like terms:

x - 5x = -4x

-4x = 15

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide -4 from both sides:

(-4x)/-4 = (15)/-4

x = 15/-4

x =  -3.75

-3.75 is your answer for x.

 ~

Answer:

x = -15/4

Step-by-step explanation:

x - 5x = 15

Combine like terms

-4x = 15

Divide each side by -4

-4x/-4 = 15/-4

x = -15/4

what is the surface area ratio of similar solids who volume ratio is 13 8? Show work, please.

Answers

Answer:

5.53:4.

Step-by-step explanation:

The scale factor is ∛13 : ∛8.

The surface area ratio is the square of these.

= (∛13)^2 : (∛8)^2.

= 5.53 : 4

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.
Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.
Let
A
AA be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and
B
BB be the event that he selects an outfit with a black shirt.

Answers

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

The probability of the white shirt and the gray slack is;

[tex]\rm P(A) = \frac{1}{6}[/tex]

The probability of the outfit with the black shirt is;

[tex]\rm P(B) = \frac{F(S)}{T(S)} \\\\ \rm P(B) = \frac{5,6}{1,2,3,4,5,6)} \\\\ \rm P(B) ==\frac{2}{6} \\\\ P(B) = \frac{1}{3}[/tex]

The probability that the no favorable outfit with the white shirt and black is;

P(A∩B)=0

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt is found by the formula;

P(A or B)= p(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\rm P(A \ U \ B)= \frac{1}{6}+\frac{2}{6} -0 \\\\\ P(A \ U \ B)=\frac{1}{2}[/tex]

Hence, the probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

To learn more about the probability, refer to the link;

brainly.com/question/1210781

#SPJ2

The probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

We have to given that,

Mark is going to an awards dinner and wants to dress appropriately.

And, Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie.

Since, There are six possible outfits, and we want to find the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt.

We can use the addition rule of probability:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A) is the probability of selecting an outfit with a white shirt and grey slacks,

P(B) is the probability of selecting an outfit with a black shirt, and

P(A and B) is the probability of selecting an outfit with both a white shirt and grey slacks, and a black shirt.

From the six possible outfits, there is one outfit with a white shirt and grey slacks, and one outfit with a black shirt, so:

P(A) = 1/6

P(B) = 1/6

There is no outfit that satisfies both events A and B, so:

P(A and B) = 0

Therefore:

P(A or B) = P(A) + P(B) - P(A and B)

              = 1/6 + 1/6 - 0

              = 1/3

So, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ6

Complete question is,

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.

Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.

Let A be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and B be the event that he selects an outfit with a black shirt.

What is P (A or B) , P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?

Find the slope of the line. m=

Answers

Answer:

the slope is 0

m= 0

Step-by-step explanation:

whenever a line is horizontal and straight across the plane the slope is 0

Answer:

m = 0

Step-by-step explanation:

slope can be found using the following equation:

m  (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-3 , -2)

(x₂ , y₂) = (1 , -2)

Plug in the corresponding numbers to the corresponding variables:

m =  (y₂ - y₁)/(x₂ - x₁) = (-2 - (-2))/(1 - (-3))

Simplify:

m = (-2 - (-2))/(1 - (-3)) = (-2 (+2))/(1 +3) = (-2 + 2)/(1 + 3)

m = (-2 + 2)/(1 + 3) = (0)/(4)

m = 0/4 = 0

The slope of the line is 0.

~

What’s the equation for Property of Zero: 0 divided by 33 =

Answers

Answer:

0 / 33 will be 0. Although if it were 33 / 0 then you will get UNDEFINED.

Step-by-step explanation:

You cannot divide anything by zero. This is called the property of zero.

Although, if you divide a number by zero, lets say 33/0, you will get UNDEFINED. You get undefined because zero does not act like a normal number. It is neither positive nor negative.

Undefined is the correct answer

35 POINTS The students in a high school are being randomly split into focus and accountability groups. Each group contains four students, selected regardless of gender or grade level. You conduct a simulation using colored discs in a bag: red, blue, green, and yellow. You decide that red (r) represents the freshmen, blue (b) represents the sophomores, green (g) represents the juniors, and yellow (y) represents the seniors. Next, you randomly select one disc from the bag, record the color, and put the disc bag in the bag. You do the same thing three more times to represent one group. Then, you complete this entire process twenty-five times, as shown below. y, g, y, b g, g, g, r r, g, b, g b, b, b, y r, r, y, g b, r, g, g y, r, r, g y, y, g, r b, g, b, b y, r, g, r y, g, g, y b, y, y, b y, g, b, r g, b, y, g b, g, y, g y, b, y, y b, r, y, y g, y, y, y g, r, y, r g, y, b, b r, g, r, r b, r, y, g b, b, b, b y, b, r, y y, y, y, y Based on the results of the simulation, the experimental probability of a group having four students from the same grade level is __% Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain one student from each grade level? Round your answer to the nearest number of groups.

Answers

Answer:

1) The correct answer is 8%

2) The correct answer is 18 groups

3) The correct answer is b. 23 groups

Step-by-step explanation:

2/25 × 100 = 8%

Each group: 2/25

2/25 × 224 = 17.92

At least 2 freshmen: 5

5/25 × 115 = 23

Hope this helped! :)

Answer:

Bro pls give first guy brainliest he answered 3 questions jeez

Step-by-step explanation:

HELP ME PLEASE!!! ASAP!!!!!! What was the average speed of this journey?​

Answers

It is the last one 2.55m/s

Answer:

B

Step-by-step explanation:

Take total displacement and divide by the time it took.

which choice is equivalent to the expression below?

Answers

There is no picture or expression

Find the measures of the supplementary angles that satisfy each case. m∠1:m∠2=5:4

Answers

Answer:

100 and 80 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.  Here we are to find two such angles that are in the ratio 5:4.  To do this, we set up and solve the following equation:

5x + 4x = 180, or

9x = 180, or

x = 20.

Then one angle is 5(20) and the other is 4(20), or 100 and 80.

Note that these two angles add up to 180 degrees, as they must.

The two supplementary angles are 100 and 80 degrees.

Answer:

I apologize for the confusion caused. Let's go through the problem again to determine the correct answer.

We have a police helicopter flying at 120 mph at an altitude of 1.5 miles above a highway. The radar detects an oncoming car at a distance of exactly 3 miles from the helicopter, and this distance is decreasing at a rate of 190 mph.

To find the speed of the car, we need to consider the relative motion between the car and the helicopter. From the perspective of the helicopter, the car's speed is the sum of its own speed and the rate at which the distance is decreasing.

Let's denote the speed of the car as "v_car" and the speed of the helicopter as "v_helicopter." The relative speed between the car and the helicopter is the difference between the two speeds, given by:

Relative speed = v_car - v_helicopter

Since the distance between the car and the helicopter is decreasing at a rate of 190 mph, the relative speed is -190 mph (negative because the car is approaching the helicopter).

However, since we want to find the speed of the car, we need to consider the magnitude of the relative speed. Taking the absolute value, we have:

|Relative speed| = |v_car - v_helicopter| = |-190|

Now, let's solve for the speed of the car:

|v_car - 120| = 190

We can solve this equation by considering two cases:

Case 1: v_car - 120 = 190

v_car = 190 + 120

v_car = 310 mph

Case 2: -(v_car - 120) = 190

-v_car + 120 = 190

v_car = 120 - 190

v_car = -70 mph

Since speed cannot be negative, we discard Case 2.

Therefore, the correct answer is that the speed of the car, as detected by the radar, is 310 mph.

THIS QUESTION ANSWER

Let's assume that the measure of angle 1 is represented by "x" and the measure of angle 2 is represented by "y". We are given that the ratio of the measures of angle 1 to angle 2 is 5:4. This can be expressed as:

x:y = 5:4

Since the angles are supplementary, the sum of their measures is 180 degrees:

x + y = 180

To solve this system of equations, we can use the ratio given to express one variable in terms of the other. Let's express "x" in terms of "y":

x = (5/4) * y

Substituting this expression for "x" into the second equation:

(5/4) * y + y = 180

Multiplying through by 4 to eliminate the fraction:

5y + 4y = 720

9y = 720

Dividing both sides by 9:

y = 80

Substituting the value of "y" back into the expression for "x":

x = (5/4) * 80

x = 100

Therefore, the measures of the supplementary angles that satisfy the given ratio are angle 1 with a measure of 100 degrees and angle 2 with a measure of 80 degrees.

I am very sorry maybe I did mistake in the previous questions answer so this is the revised ONE and sO please DO SEE once okay !!!

The two pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
A. 5.12 mm³
B. 6.66 mm³
c. 7. 14 mm³
D. 8.07 mm³​

Answers

Answer:

A) 5.12mm³

Step-by-step explanation:

Step 1

Find the volume of the bigger pyramid

This is a triangular based pyramid.

The formula to use is given as Volume of Pyramid =

1/3 × Area of the triangle × Height

Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²

Volume of the large pyramid = 1/3 × 6mm² × 5mm

= 10mm³

We are given the length of the small pyramid as 4mm

We would be using was is known as scale factor to find the volume of the small pyramid

The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³

k = 4³/5³

k = Volume of small pyramid/ Volume of large pyramid

Volume of small pyramid = X

Volume of large pyramid = 10mm³

Hence,

4³/5³ = X/10

Cross Multiply

= 4³ × 10 = 5³ × X

X = (4³ × 10)/ 5³

X = 5.12mm³

Find (f•f)(0)
F(x) = 3x - 2

Answers

it would be c for the answer

Answer:

The answer is option C

- 8

Step-by-step explanation:

To find ( f•f)(0) first find (f•f)(x)

F(x) = 3x - 2

(f•f)(x) = 3( 3x - 2) - 2

= 9x - 6 - 2

= 9x - 8

( f•f)(0) = 9(0) - 8

= 0 - 8

= - 8

Hope this helps you


which is the equation of a line that is perpendicular to the line represented by y=3/4x-1/2?

Answers

-4/3

Slope of equation in the form y=mx+c is the m which is 3/4
For perpendicular lines
m1*m2=-1
m2=-1/m2
=-4/3

Please mark as brainliest

The standard form of a quadratic equation is ax^2 + bx+c =0. For
which of the following quadratic equations is a= -1 and C=0?

Answers

Answer

-x^2 + x = 0

Step-by-step explanation

Write all the quadratic equations in standard form:

X^2 -1 = ax^2 - c

-x^2 + 1 = -ax^2 + c

x^2 - x = ax^2 -bx (no c)

-x^2 + x = -ax^2 +bx (no c)

Find two consecutive odd whole numbers whose sum is two less than six times the first number.

Answers

Answer:

1, 3

Step-by-step explanation:

1st number = x

2nd number = x+2

x+x+2=6x-2

2x+2=6x-2

4=4x

x=1

so the first number is 1 and the second number is 3.

CHECK: The sum of one and three is four, which is two less than six times one.

Odd numbers by definition are 2k + 1

Consecutive odd numbers will be
2k + 1 and 2k + 3

Formulating the equation from the question

(2k + 1 + 2k + 3) = 6(2k+1) -2

4K + 4 = 12k + 6 -2
4= 8k + 4
K = 0

Therefore first odd number is 2k + 1 = (2 x 0) + 1 = 1

Second odd number is 2k + 3 = (2 x 0) + 3 = 3

The two numbers are 1 and 3

–34 = –2(g − 70) g = _____

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

g = 87

▹ Step-by-Step Explanation

-34 = -2(g - 70)

Divide both sides

17 = g - 70

Rearrange the terms

-g + 17 = 70

Calculate

-g = -87

Change the signs

g = 87

Final Answer

g = 87

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

g=87

Step-by-step explanation:

-34=-2(g-70)

distribute

-34=-2g+140

-140      -140

-174=-2g

divide both sides by -2

g=87

If f(x) = 1 – x, which value is equivalent to |f(i)|?l

Answers

Answer:

Square root ( 2 )

Step-by-step explanation:

We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ).  

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