A box contains 72 cups of fruit juice. one serving size is 12 cup. how many servings can be made from the fruit juice?

Answers

Answer 1

Answer:

6 servings

Step-by-step explanation:

Box = 72 cups

1 serving size = 12 cups

72 ÷ 12 = 6


Related Questions

GEOMETRY)

In the accompanying diagram of circle O, the m angle AOB=36^o. What is the m angle ACB ?

Answers…

A. 9^o
B. 36^o
C. 72^o
D. 18^o

(Picture is below) Thank you!

Answers

Answer:

SOLUTION :-

There is theorem/proof that tells that in these types of figure the other angle is double of the previous one

Means , the required angle will be ( 36 x 2 ) i.e. 72°.

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let f(x) = x^3-3x^2+2 and g(x) = x^2 -6x+11 Enter the value of x such that f(x)=g(x)

Answers

The value of x such that f(x) = g(x) is x = 3

Quadratic equation

Given the following expressions as shown

f(x) = x^3-3x^2+2 and;

g(x) = x^2 -6x+11

Equate the expressions

x^3-3x^2+2 = x^2 -6x+11

Equate to zero

x^3-3x^2-x^2+2-11 = 0

x^3-3x^2-x^2 + 6x - 9 = 0

x^3-4x^2+6x-9 = 0

Factorize

On factorizing the value of x = 3

Hence the value of x such that f(x) = g(x) is x = 3

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The layout of a playground uses the scale 1:50. If the dimensions of the playground in the layout are given by 180 cm x 240 cm, what is the actual area of the playground in square meters?

Answers

The area of the playground of dimensions 18 and 240is 432 [tex]m^{2}[/tex].

Given  If the dimensions of the playground in the layout are given by 180 cm x 240 cm.

The area of rectangle is length *breadth.

The given playground is in the shape of rectangle because there are two sides given and both the sides are different. In a rectangle length of opposite side found to be equal and each side form an angle of 90 degree.

Area=length*breadth

=180*240

=43200 [tex]cm^{2}[/tex]

We have to convert in meters so we have to divide by 100.

Area=43200 [tex]cm^{2}[/tex]

=43200/100

=432 [tex]m^{2}[/tex]

Hence the area of playground having dimensions 180 cm and 240 cm is 432[tex]m^{2}[/tex].

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Isosceles triangle ABC contains angle bisectors segment BF, segment AD, and segment CE that intersect at X.

triangle ABC with diagonals BF, AD, and EC that intersect at point X

If segment BA is congruent to segment BC and m∠BCA = 46°, what is m∠CXA?

46°
67°
115°
134°

Answers

Answer:

115

Step-by-step explanation:

this app wont be with you forever

Nosaira solved an equation. Her work is shown below:
3(2x + 1 ) = 2(x + 1) + 1
6x + 3 = 2x + 2 + 1
6x + 3 = 2x + 3
4x = 0
x = 0
She determines the equation has no solution.
Which best describes Nosaira’s work and answer?
Her work is correct, but there is one solution rather than no solution.
Her work is correct and her interpretation of the answer is correct.
Her work is incorrect. She distributed incorrectly.
Her work is incorrect. She moved terms across the equals sign incorrectly.

Answers

Her work is correct, but there is one solution rather than no solution.

Solving linear equations

Linear equations are equations that has a degree of 1. Given the equation below;

3(2x + 1 ) = 2(x + 1) + 1

Expand

3(2x) + 3(1) = 2(x) + 2(1) + 1

Simplify

6x + 3 =2x + 2 + 2

6x + 3 = 2x + 3

Collect the like term

6x - 2x = 3 - 3

4x = 0

x =0

Hence we can conclude that Her work is correct, but there is one solution rather than no solution.

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HELP PLEASEEEE
Zarea finds 3√6,000 and shows her work below.

Answers

1000

^3rad? should be equal to 10. So, 10^3 is equal to 1000

Part 4: model a real world problem using an ellipse
An artist wants to make an elliptical sign out of a rectangular piece of wood. The wood piece has a length
of 60 inches and a width of 40 inches. The artist wants to make the largest elliptical piece possible from
the wood.
a) Write the equation of the ellipse by placing the center at the origin of the coordinate plane and making
the x-axis the major axis. (3 points)

PLEASE ANSWER ALL AND GRAPH

Answers

a. The equation of the ellipse is x²/900 + y²/400 = 1

b. the foci of the ellipse are at (±10√5,0)

c. Find the graph in the attachment

How to find the equation of the ellipse?

Since the ellipse is made from a block of wood and centered at the origin, and x- axis major axis.

So, the equation of an ellipse with center at origin and x - axis major axis is

x²/a² + y²/b² = 1 where

2a = length of major axis 2b = length of minor axis anda > b

Since the rectangular piece of wood  has a length of 60 inches and a width of 40 inches.

The length of the rectangle equals the length of the major axis

So, 2a = 60

a = 60/2

= 30

Also, the width of the rectangle equals the length of the minor axis

So, 2b = 40

b = 40/2

= 20

a. The equation of the ellipse

So, substituting a and b into the equation of the ellipse, we have

x²/a² + y²/b² = 1

x²/30² + y²/20² = 1

x²/900 + y²/400 = 1

So, the equation of the ellipse is x²/900 + y²/400 = 1

b. The foci of the ellipse

The foci of the ellipse are at (±c,0) where c² = a² - b²

= 30² - 20²

= 900 - 400

= 500

c = ±√500

c = ±10√5

So, the foci of the ellipse are at (±10√5,0)

c. Find the graph in the attachment

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La ecuación h(x) =23 es lineal?

Answers

Si! H(x)=23 es lineal

Plug x back in. What is the measurement of (8x - 20) degrees

Answers

The complement of y is 110 - 8x degrees.

What are complementary angles?

Complementary angles are angles that add up to 90 degrees.

Therefore,

y = 8x - 20

The complement of y can be found as follows;

complement of y = 90 - (8x - 20)

complement of y = 90 - 8x + 20

complement of y = 110 - 8x

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Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represent the number of tiles in a box.

Answers

An expression for the number of tiles used by Bruce and Felicia are 5x + 2 and 5x + 5 respectively.

What is an expression?

An expression refers to a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Note: x represents the number of tiles in a box.

For Bruce, we have:

Expression = 3x + 2x + 2

Expression = 5x + 2.

For Felicia, we have:

Expression = 5x + 5.

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Complete Question:

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.

Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represent the number of tiles in a box.

Answer:

Bruce: y = 5x + 2

Felicia: y = 5x + 5

Please help. I am so confused.

Answers

The fourth proportional is found by applying the formula

The product of extremes = The product of means.

The fourth proportional is equal to bc/a and st/r

Let the fourth proportional be x then this can be written as

a:b::c:x

Applying the formula of product of extremes

ax= bc

or

x= bc/a

The fourth proportional can be obtained by multiplying the variables bc and dividing by a

Similarly

Let the fourth proportional be y then this can be written as

r:s::t:y

Applying the formula of product of extremes

ry= st

or

y= st/r

The fourth proportional can be obtained by multiplying the variables st and dividing by r

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the sum of a number and 10

Answers

Answer:

x+10

Step-by-step explanation:

x is any number and sum means addition, so x(number) +(sum) 10(10)

70 more points ez ez ez

Answers

[tex]y = 3x + 6 \\ switch \: y \: and \: x[/tex]

[tex]x = 3y + 6 \\ solve \: for \: y \\ x - 6 = 3y \\ y = \frac{x - 6}{3} [/tex]

A is the answer

Answer:

free tokens or something  

Step-by-step explanaon

um i do not know so um bye?

Find the surface area of the composite figure.
20 in.
11 in.
5 in.
19 in
12 in.
12 in.
SA
11 in.
5 in.
20 in.
[?] in. 2

Answers

By using the area formulae for triangles and rectangles and the concept of surface area of the composite figure is equal to 1108 square inches.

What is the surface area of the composite figure?

The surface area is the area of all faces of a solid. In this case, we must sum the areas of seven rectangular and two triangular faces to determine the surface area:

A = 2 · (0.5) · (12 in) · (9 in) + 2 · (11 in) · (20 in) + 2 · (5 in) · (20 in) + 2 · (5 in) · (12 in) + (12 in) · (20 in)

A = 1108 in²

By using the area formulae for triangles and rectangles and the concept of surface area of the composite figure is equal to 1108 square inches.

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Stephen has made a 91, 96, and 95 on the first three quizzes this six weeks. If he makes the same score on the last two quizzes, what grade does he need to make on each quiz to have a quiz average of EXACTLY 94 this grading period?

Answers

Answer:

A 94

Step-by-step explanation:

If we take the mean of 91, 96, and 95, we find that it is equal to 94. Thus, if he scores a 94 on his last two quizzes, his average will remain a 94.

Whats the easiest way to solve a modulu problem. For example we can use 2^100/3. Whats the easiest way to find the remainder? Without using shortcuts that only work with specific numbers.

Answers

The easiest way to solve a modulu problem is by

Start by taking the initial number (before carrying our the modulo operation). Then select the divisor. Then one have to divide one number by the other and then round down.Then Multiply the divisor using the quotient. Then subtract the above number from one's initial number (dividend).The number gotten is the outcome of the modulo operation.

2^100/3

=3√2^100

=3√2^99×2

=2^33×3√2

The [tex]\sqrt{2}[/tex] is the reminder.

What is the easiest way to find remainders?

The easiest way to find the remainder that only work with specific numbers is that this can be done when one solve the division by the use of a calculator by:

First  if you answer is in decimal form, you have to subtract the whole number and later multiply the decimal value that is said to be left by the divisor of the original problem. The outcome is your remainder.

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Dr. Benton just got his PhD, and he wants to print copies of his thesis in hardcover book format. He could use Middletown Printing, paying a setup fee of $39 and $3 for every book printed. Alternately, he could go through Oxford University, paying an up-front fee of $35 and $5 per book. It turns out that, given the number of books Dr. Benton wants to print, the two options cost the same amount. How many books is that? What is the amount?​

Answers

It could be 2 books, because 35+(5x2)= 45, and 39+(3x2)= 45.

On babylonian tablet ybc 4652, a problem is given that translates to this equation: x x plus startfraction x over 7 endfraction plus startfraction 1 over 11 endfraction left-parenthesis x plus startfraction x over 7 endfraction right-parenthesis equals 60.(x ) = 60 what is the solution to the equation? x = 48.125 x = 52.5 x = 60.125 x = 77

Answers

The correct option is (A). The solution of the equation is x=48.125.

Given an equation [tex]x+\frac{x}{7}+\frac{1}{11}\left(x+\frac{x}{7}\right)=60[/tex].

A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.

Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get

[tex]x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60[/tex]

Now, we will simplify the right-hand side equation by taking LCM, we get

[tex]\begin{aligned}\frac{77x+11x+7x+x}{77}&=60\\ \frac{96x}{77}&=60\end[/tex]

Further, we will multiply both sides with 77, we get

77×(96x/77)=77×60

96x=4620

Then, we will divide both sides with 96, we get

96x/96=4620/96

x=48.125

Hence, the solution of the given equation [tex]x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60[/tex] is x=48.125.

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Answer:

The correct option is (A). The solution of the equation is x=48.125.

Given an equation .

A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.

Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get

Now, we will simplify the right-hand side equation by taking LCM, we get

Further, we will multiply both sides with 77, we get

77×(96x/77)=77×60

96x=4620

Then, we will divide both sides with 96, we get

96x/96=4620/96

x=48.125

Hence, the solution of the given equation is x=48.125.

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Step-by-step explanation:

Prove that two non-zero vectors are collinear if and only if one vector is a scalar multiple of the other.

Answers

The Prove that two non-zero vectors are collinear if and only if one vector is a scalar multiple of the other is given below.

What are the proves?

1.  To know  collinear vectors:

∧ ⁻a ║ ⁻a

If  ⁻b = ∧ ⁻a

then |⁻b| = |∧ ⁻a|

So one can say that  line ⁻b and ⁻a are  collinear.

2.  If ⁻a and ⁻b  are collinear

Assuming |b| length  is  'μ' times of |⁻a |

Then | 'μ' ⁻a| = | 'μ' ⁻a|

So  ⁻b = 'μ' ⁻a

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How does the image triangle compare to the pre-image triangle?

Answers

A triangle undergoes a sequence of transformations.

First, the triangle is dilated by a scale factor of 1/3 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 3 units and up 2 units.

Using desmos
A. Locate, plot, and label on your graph where the pH value is 0.1
B. Locate, plot, and label on your graph where the pH value is 1.

Answers

The attached graph represents the location of the pH values 0 and 1

How to plot the points?

The given parameters are:

pH value 0 = (1, 0)

pH value 1 = (0.1, 1)

This means that we plot a point at the coordinate (1, 0) and another point at the coordinate (0.1, 1).

See attachment for the graph

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Complete question

The pH value is 0 at (1, 0) and 1 at (0.1, 1).

Using desmos

A. Locate, plot, and label on your graph where the pH value is 0.1

B. Locate, plot, and label on your graph where the pH value is 1.

______Is obtained by dividing the population into groups and selecting all individuals from within a random sample of the groups.

Answers

Data

Hope this helps! :)

Add the following polynomials, then place the answer in the proper location on the grid.
- 4.1x^2 + 0.9x - 9.8
1.7x^2 - 2.4x - 1.6

Answers

Answer: - 2.4x^2 - 1.5x - 11.4

Step-by-step explanation:

- 4.1x^2 + 0.9x - 9.81.7x^2 - 2.4x - 1.6 = - 2.4x^2 - 1.5x - 11.4


A rectangular yard measures 8m x 6m. What happens to the area if each dimension is doubled?​

Answers

Answer: 192

Step-by-step explanation:

2×8=16

2×6=12

17×12=192

So, the answer is 192.

Answer: the area would quadruple.
Step-by-step:
8x2=16
6x2=12
16x12=192
192 divided by 4 is 48
6x8 (the original area) is 48

At the amusement park, Jack bought child and adult tickets costing $1.50
and $2.50, respectively. He bought a total of 9 tickets and paid $16.50.
How many of each kind of ticket did he buy?

Answers

Answer:

Explanation:
x=1.50 (child tickets)
y= 2.50 (adult tickets)

There’s a total of 9 tickets, therefore
possible options are:
1x+8y=16.50
2x+7y=16.50
3x+6y=16.50
4x+5y=16.50
5x+4y=16.50
6x+3y=16.50 …

I would then pick one and try it out and see if it works…

Let’s try 6x+3y=16.50
Substitute x= 1.50 and y=2.50 info the equation

6(1.50)+3(2.50)=16.50
9.0+7.5=16.50

Therefore, Jack bought 6 child tickets and 3 adult tickets. Hope this helps!

r
A model car racetrack is formed by two semicircles as shown below.
9 cm
Find the perimeter of the entire figure.
Use T = = 3.14
2 cm
17
The diameter of the inner semicircles is 9 cm.
The width between the outer and inner semicircles is 2 cm.
>

Answers

The perimeter of the entire figure is 62.8 cm.

Given, that the diameter of the inner semicircles is 9 cm and the width between the outer and inner semicircles is 2 cm.

The radius of the inner semicircle =4.5 cm and the radius of outer semicircle =5.5 cm (∵Diameter=9+2=11 cm)

We need to find the perimeter of the entire figure.

What is the perimeter?

A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.

We know that, the circumference of a semicircle=πr and the circumference of two semicircles=2πr

Thus, the circumference of inner semicircles=2×3.14×4.5=28.26 cm

The circumference of outer semicircles=2×3.14×5.5=34.54 cm

The perimeter of the entire figure=28.26+34.54=62.8 cm

Therefore, the perimeter of the entire figure is 62.8 cm.

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The perimeter of whole path is 12.56 cm

What is Perimeter?

Perimeter is the distance around the edge of a shape.

r1= 4.5cm, r2= 6.5cm

Perimeter of semicircle 1,

=πr1

= 3. 14 * 4.5

= 14.13 cm

Perimeter of semicircle 2

=πr2

= 3. 14 * 6.5

= 20.41 cm

Perimeter of path = 20.41 - 14.13 =6.28 cm

Perimeter of whole path = 2 * 6.28 =12.56

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Find the two inequalities equations graphed below please.

Answers

The two inequalities are:

a) y ≤ -2x + 5

b) y < 3x - 14

How to find the two graphed inequalities?

On the first graph, we can see that the shaded region is below the line and that the line is solid, so the inequality is of the form:

y ≤ line.

Now, remember that if the line passes through (x₁, y₁) and (x₂, y₂).

Then the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

We can see that the line passes through (2, 1) and (-1, 3)

Then the slope is:

[tex]a = \frac{1 - 3}{2 - 1} = -2[/tex]

So the line is:

y = -2*x + b

To find the value of b, we use the point (2, 1), then we get:

1 = -2*2 + b

1 = -4 + b

1 + 4 = b = 5

Then the first inequality is:

y ≤ -2x + 5

Now let's go to the other line equation, again the shaded region is below the line and this time the line is dashed, then:

y < line.

Two points on the line are (5, 1) and (4, -2)

Then the slope is:

[tex]a = \frac{1 - (-2)}{5 - 4} = 3[/tex]

y = 3*x + b

To find the value of b, we use the point (5, 1)

Then:

1 = 3*5 + b

1 = 15 + b

1 - 15 = b = -14

Then the inequality is:

y < 3x - 14

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20% of the cross-country runners in
a school team weigh between 60 kg
and 70 kg. If 4% of the school of 1125 students are in the cross-country team, how many students in the team weigh between 60kg and 70kg ?

Answers

Answer:

9 students

Step-by-step explanation:

First find the amount of cross-country team students, 4% * 1125 = 45

Then 20% * 45 = 9, so 9 students in the team weigh between 60 and 70 kilos.

Domanin and range...

Answers

Domain:- ∞ < x < ∞

Range:y≤9

What are the domain and range of the function (x)=3/4x+5?
O domain: (-00,00)
range: (-00,00)
3
O domain:
range: (-∞0,5)
domain:
range: (5,00)
O domain:
range: (5,00)

Answers

Answer: Option (1)

Step-by-step explanation:

The domain and range of all linear functions is the set of real numbers.

The domain and range of the function is

Domain = (-∞, ∞) and Range = (-∞, ∞)

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = ( 3/4 )x + 5

The domain of the function is the set of all possible input values for x, which in this case is all real numbers, since there are no restrictions on the value of x that can be plugged into the function. Therefore, the domain of the function is:

Domain = (-∞, ∞)

The range of the function is the set of all possible output values that the function can produce. Since the function is a linear function of the form y = mx + b, where m is the slope and b is the y-intercept, we know that the range of the function is all real numbers, since a line can take on any y-value.

Range = (-∞, ∞)

Hence , the domain and range are set of all real numbers

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The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5). Whatis the multiplicative rate of change of the function? Given: TUW SRW; RS TUProve: RST UTSTriangles R W S and U W T connect at point W. A line is drawn to connect points S and T. Another line is drawn from point R to point V and down to point U. Sides S R and T U are congruent. Angles S R W and W U T are congruent.Complete the paragraph proof:It is given that TUW SRW and RS TU. Because RWS and UWT are vertical angles and vertical angles are congruent, RWS UWT. Then, by AAS, TUW SRW. Because CPCTC, SW TW and WU RW. Because of the definition of congruence, SW = TW and WU = RW. If we add those equations together, SW + WU = TW + RW. Because of segment addition, SW + WU = SU and TW + RW = TR. Then by substitution, SU = TR. If segments are equal, then they are congruent, so SU TR. Because of, TRS SUT, and because of, RST UTS. Two loudspeakers, 3.5 m apart and facing each other, play identical sounds of the same frequency. You stand halfway between them, where there is a maximum of sound intensity. Moving from this point toward one of the speakers, you encounter a minimum of sound intensity when you have moved 0.15 m . Assume the speed of sound is 340 m/s .a. What is the frequency of the sound?b. If the frequency is then increased while you remain 0.15 m from the center, what is the first frequency for which that location will be a maximum of sound intensity? Why do some people find it easier and quicker to use online dictionaries instead of print dictionaries? Which segment is a reflection of segment AB over the line x = 1?Line segment C DLine segment E FLine segment G HLine segment I J A 1500 kg weather rocket accelerates upward at 10.0 m/s . It explodes 2.00 s after liftoff and breaks into two fragments, one twice as massive as the other. Photos reveal that the lighter fragment traveled straight up and reached a maximum height of 530 m. What were the speed and direction of the heavier fragment just after the explosion Which great writer of plays and poemslived in England during the time ofQueen Elizabeth I?A) Christopher MarloweB) Robert BrowningC) Robert Burns Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude Pls help! Geometry Find the area Against whom can administrative actions be filed for violations of the rbs program?. What does x+y+z equal does being famous make a person's life better? Find the y-intercept of the line on thegraph. An arithmetic sequence has this recursive formula:a = 5an = an-1-4What is the explicit formula for this sequence? Read the excerpt from Warriors Don't Cry.Which words help create the mood in the excerpt?As we approached behind them, we could see only theChoose four answers.clusters of white people that stretched for a distance ofO distancetwo blocks along the entire span of the school building.My mind could take in the sights and sounds only one byshoutingone: flashing cameras, voices shouting in my ears, menand women jostling each other, old people, youngO jostlingpeople, people running, uniformed police officerswalking, men standing still, men and women waving theirJ fistsfists, and then the long line of uniformed soldiers carryingC longweapons just like in the war movies I had seen.O weaponsO movies The activation energy of a first order reaction is 83.5kj/mol. the rate constant is 3.54x10^-5s^-1 at 45 c. what is the rate constant at 65 c? g The number of firms in an oligopoly must be Group of answer choices None of the Answers are Correct. Small enough so that revenues are large enough to support advertising expenditures. Small enough so that one firm's decisions have a significant impact on the decisions of the other firms in the industry. Large enough so that firms cannot coordinate. Four. Students can learn to mentally give themselves a pat on the back when they finish a task or stop at regular intervals to assess what they have done. What is this called Birds and other infrahuman animals develop a preference for the person or object to which they are first exposed during a brief, critical period after birth. This is referred to as: Is hemophilia a dominant or recessive trait? And why?