Which statement is true of table A and table B shown below?



Table A represents a function because there is only one output for
each input value.

Table B represents a function because there is only one output for
each input value.

Table A represents a function because there is only one input for each
output value.

Table B represents a function because there is only one input for each
output value.

Which Statement Is True Of Table A And Table B Shown Below?Table A Represents A Function Because There

Answers

Answer 1

Table A represents a function, but Table B does not represent a function.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

A function or mapping is described as a collection of pairs of x and y that are ordered such that given different values of x, there will also be different values of y, or vice versa. For instance, the function x=y+2 yields a different x for every different value of y, while yielding the same x value for every single different value of y. We obtain two distinct x for two distinct ys, thus we can refer to this as a function at that point.

As, each element of X is associated with unique element of Y, so this is a function.

Table A    

           X               Y

           3                 1

            2                 0

            1                  0

As, each element of X is associated with a unique element of Y, so this is a function.

Table B

X            Y

3           -2

5              1

5              2

Hence, Table A represents a function, but Table B does not represent a function.

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Related Questions

if 4200 men have sufficient food for 32 days at the rate of 12 hectogram per person , how many men may leave so that the same food is sufficient for 42 days at the rate of 16 hectogram per person

Answers

Using proportions, it is found that 66 men can leave so there will still be enough food.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the situation described, the rule of three is given as follows:

4200 men - 32 days - 12 hectogram per person.

x men - 42 days - 16 hectogram per person.

Considering that the amount per person and the number of people is inverse proportional, we have that:

[tex]\frac{4200}{x} = \frac{32}{42} \times \frac{16}{12}[/tex]

[tex]\frac{4200}{x} = \frac{512}{504}[/tex]

Applying cross multiplication:

512x = 504 x 4200

x = 504 x 4200/512

x = 4134.

The amount of men that can leave is:

4200 - 4134 = 66.

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To get 14 liters of antifreeze solution, how much do i need to add to x liters of the solution?

Answers

To get 14 liters of antifreeze solution, add 14 - x liters of the solution

Calculating volume

From the question, we are to determine how many liters should be added to the solution

From the given information,

We are to get 14 liters of antifreeze solution,

and

we already have x liters of the solution

To get 14 liters of antifreeze solution, we will add 14 - x liters of the solution

Hence, to get 14 liters of antifreeze solution, add 14 - x liters of the solution

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Enacting a modeled response depends on your ability to reproduce the response by converting your stored mental images into overt behavior.

Answers

Answer:

??

Step-by-step explanation:

After a robbery, a thief jumps into a taxi and disappears. An eyewitness on the crime scene is telling the police that the cab is yellow. In order to make sure that this testimony is worth something, the assistant district attorney makes a Bayesian analysis of the situation. After some research, he comes up with the following information: (1) In that particular city, 80% of taxis are black and 20% of taxis are yellow; and (2) Eyewitnesses are not always reliable and from past experience, it is expected that an eyewitness is 80% accurate. In other words, he will identify the color of a taxi accurately (yellow or black) eight out of ten times. What is the probability that the cab was really yellow, given that it was reported as being yellow

Answers

The probability that the cab was really yellow given that it was reported as being yellow is 0.32.

Given that there are 80% black taxis and 20% yellow taxis, witness is 80% accurate.

Probability is the chance of happening an event among all the events possible. It lies between 0 and 1. The value of probability can be calculated through the following formula:

Probability=Number of items/ total items.

Black taxis=80%

Yellow taxs=20%

Eyewitness is accurate=80%

Probability that the cab was really yellow=

P(X=Yellow)P(Witness is correct)+P(X=Black)P(Witness is incorrect)

Probability that car is black=0.8

Probability that car is yellow=0.2

Probability that witness is correct=0.8

Probability that witness is incorrect=1-0.8

=0.2

We have to just put the values in the formula given above.

Required probability=0.2*0.8+0.8*0.2

=0.16+0.16

=0.32

Hence the probability that the cab is really yellow is 0.32.

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At a sale, dresses were sold for 61% of their original price. If the dresses originally cost $200 each, how much did a dress cost on sale?

Answers

The new cost of the dress on sale given the original price is $122

Percentage

Original cost = $200

New cost = 61% of original price

= 61/100 × $200

= 0.61 × 200

New cost = $122

Therefore, the new cost of the dress is $122

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[please answer quickly] it takes 8 hours to paint a room. how long will it take to paint 2/3 of the room?

Answers

Answer:

5 hours 20 minutes.

Step-by-step explanation:

8 * 2/3

= 16/3

= 5 1/3

= 5 hours 20 minutes.

HALP PLS
what is x?

x =x=x, equals
^\circ

degrees

Answers

Answer:

x = 90°

Step-by-step explanation:

The line that contains angle x and the 90° angle is a straight line.

A straight line measures as 180°.

So, subtracting the given 90° from the 180° line that the two angles share, we would get the measure of x.

[tex]180-90 =x[/tex]

Which means, [tex]x=90[/tex].

So the value of x is 90°.

simplify: 2y(y2-4y+1)-2(4y²+5y-2) +5y-8


please tell me fast with full solution ​

Answers

Answer:

look the answer is in the picture and don't forget to like and brainlest

16. If x= y² + 12, what is the value of y in terms of (A)x+12 (B) x-12 (C) √√x+12 (D) √√x-12​

Answers

Answer:

D. y =  √(x - 12)

Step-by-step explanation:

x  = y² + 12

y² = x - 12

y = √(x - 12)

Which equation represents a line that passes through the two points in the
table?

Answers

The answer is B. Always substitute your answer to get it.

make x the subject! urgent help

Answers

Answer:

[tex]x = \frac{n}{b - {t}^{2} } [/tex]

Step-by-step explanation:

I supposed that is a "n".

Steps as below:

[tex] {t}^{2} = b - \frac{n}{x} \\ b - \frac{n}{x} = {t}^{2} \\ - \frac{n}{x} = {t}^{2} - b \\ \frac{n}{x} = - ( {t}^{2} - b) \\ \frac{n}{x} = b - {t}^{2} \\ n = x(b - {t}^{2} ) \\ x(b - {t}^{2} ) = n \\ x = \frac{n}{b - {t}^{2} } [/tex]

Answer:

[tex]x = \frac{h}{b-t^2}[/tex]

Step-by-step explanation:

[tex]t^2 = b - \frac{h}{x}[/tex]

• First add  [tex]\frac{h}{x}[/tex]  to both sides:

⇒ [tex]\frac{h}{x} + t^2 = b[/tex]

• Now subtract  [tex]t^2[/tex]  from both sides:

⇒ [tex]\frac{h}{x} = b - t^2[/tex]

• Now multiply both sides by [tex]x[/tex] :

⇒ [tex]h = x(b - t^2)[/tex]

• Next divide both sides by  [tex](b - t^2)[/tex] :

⇒ [tex]\frac{h}{b-t^2} = x[/tex]

∴  [tex]\boxed{x = \frac{h}{b-t^2}}[/tex]  

Select the correct answer.
If vector u = <-3.5, -1.5> and vector v = <-1.25, 2.25>, which graph shows the resulting vector for 2v - u?

Answers

The graph that aligns with the information is graph D.

How to illustrate the graph?

We know that vector addition is scalar addition.

Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>

2v = < -2.5, 4.5>

2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >

2v-u = < 1 , 6 >

This vector is basically i + 6j which is drawn in option D

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Read each question carefully and show work. Put your answer in the provided space.

Answers

45+6888=786 ABC=Y and Y =565

Which function represents a reflection of f(x) = 2(0.35)x over the y-axis?

h(x) = 2(0.35)x
h(x) = –2(0.35)x
h(x) = 2(0.35)–x
h(x) = 2(–0.35)–x

Answers

The function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)

How to determine the reflection?

The equation is given as:

f(x) = 2(0.35)^x

The reflection of a function over the y-axis is :

f'(x) = f(-x)

So, we have:

f(-x) = 2(0.35)^(-x)

From the list of options, we have

h(x) = 2(0.35)^(-x)

Hence, the function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)

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What is the probability of rolling a 4, 5, and 6, in that order, on three rolls of a single six-sided die

Answers

Answer:

1:216

Step-by-step explanation:

The probability of getting a 4 would be 1/6.  The probability of getting a 5 would be 1/6 and the probability of getting a 6 would be 1/6.  The bottom number is the total number of outcomes (1,2,3,4,5,6) and the top number is out of that set, how many do I want.  In the case of wanting a 4, I want 1 out of those 6 numbers and so on.

Now we multiple these together 1/6 x 1/6 x 1/6 and get  1/216 or another way to write this is 1:216

During the current year mute corporation expected that sell 24,600 telephone switches. fixed cost of the year were expected to be 12,147,000 the unit sales price was budgeted at 3,500 and unit variable costs are budgeted at 1,680. minutes margin of safety in units is

Answers

The corporation's margin of safety is 0.73.

What is the margin of safety?

Margin of safety is the amount of sales a company makes in excess of the breakeven point.

Margin of safety = (forecasted sales -  break-even sales) / forecasted sales

Break even sales = fixed cost / (price per unit - variable cost)

12,147,000 / (3500 - 1680) = 6,674.18

Margin of safety = (24,600 - 6,674.18) / 24,600 = 0.73

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Find the mixed number halfway between 6.4 and 6½. Give
your answer in its simplest form.

Answers

Answer:

6.45

Step-by-step explanation:

I am not staring at zero.  I am starting at 6.4, so I take 6.4 and add that to half way between 6.5 and 6.4.

6.4 + 1/2(6.5-6.4)  Combine in the parentheses

6.4 + 1/2(.5)  Take half of .5

6.4 + .05  add

6.45

Can any one help me?​

Answers

Answer:

64

Step-by-step explanation:

2x-4y=3

x= (3 +4y)/2

substitute into the main equation

y= 0

x= 3/2

16^x /256^y

16^3/2 ÷ 256^0

√16^3 ÷1

= 64

Answer:

64

Step-by-step explanation:

2x - 4y = 3

2x = 4y + 3

x = 2y + 1.5

[tex] \dfrac{16^x}{256^y} = [/tex]

[tex] = \dfrac{16^{2y + 1.5}}{256^y} [/tex]

[tex] = \dfrac{16^{2y + 1.5}}{16^{2y}} [/tex]

[tex] = 16^{2y + 1.5 - 2y} [/tex]

[tex] = 16^\frac{3}{2} [/tex]

[tex] = 4^3 [/tex]

[tex] = 64 [/tex]

Can someone help me with this?

Answers

U can refer to the picture that I’ve attach below

Help please!!! Write an equation that represents the line.
Use exact numbers.

Answers

y=1x-5 is an equation i think
Y= 6/5x -5
The slope is increasing the number will be positive and since it goes up six and over five that would be the fraction of the slope and 5 is the point on line Y

PlllZZZZZZZZ HELPPPPP

Answers

Answer:

x = 1.4

Step-by-step explanation:

Visualize the figure as a rectangle with width 4 and height 1 combined with a triangle with base 1 and height 1.

Next, use the Pythagorean Theorem, a^2 + b^2 = c^2. Variables a and b represent the lengths of the legs, in this case 1 and 1, and variable c represents the length of the hypotenuse, in this case x.

1^2 + 1^2 = x^2

2 = x^2

x = 1.41421356237

Step-by-step explanation:

imagine that this shape is the combination of 2 shapes :

1. a rectangle 4×1

it goes from the top down the side of 4 until the tilted line x begins.

2. a right-angled triangle

x being the Hypotenuse (the baseline opposite of the 90° angle). and the legs are the invisible line of 1 (going from the top right of x in parallel to the 1 line all the way to the 5 line) and the part of the 5 line below the 4 line : 5-4 = 1.

so, x can be solved by using Pythagoras

c² = a² + b²

c being the Hypotenuse, a and b are the legs.

x² = 1² + 1² = 2

x = sqrt(2) = 1.414213562... ≈ 1.4

Rule 1: Multiply by 2 then add 1 starting from 1.
Rule 2: Divide by 2 then add 4 starting from 40.

please help me make a sequence :)



PLEASE DONT DELETE MY QUESTION :(

Answers

Rule 1: Multiply by 2 then add 1 starting

( n x 2 +1) => 2n + 1

n is the position of our terms, so I substitute 1 because you're told to start from 1 which becomes our first term

2n + 1

2 x 1 + 1 =3

2 x 2 + 1 = 5

2 x 3 + 1 = 7

2 x 4 + 1 = 9

3,5,7,9....

(you can clearly see the sequence increasing by 2 each time, not following Multiply by 2 then add 1)

However, if we were to do add one each time, you'll add one to your pervious answer. So, this time I'll substitute the pervious answer

2 x 1 + 1 =3

2 x 3 + 1 = 7

2 x 7 + 1 = 15

2 x 15 + 1 = 31

3,7,15,31....

(from 3 to 7, you clearly see its multiplied by 2, then +1 & that's our sequence, this method apply to the second rule too of using previous)

Rule 2: Divide by 2 then add 4

(n ÷ 2 + 4) => n/2 + 4

n/2 + 4

(starting from 40.)

40/2 + 4 = 24

24/2 + 4 = 16

16/2 + 4 = 12

12/2 + 4 = 10

24,16,12,10.....

Answer: (started off with the number it asked of)

R 1 -

1,3,7,15,31....

(1 x 2 +1 does give 3)

R 2 -

40, 24,16,12,10.....

(40÷2 = 20, then + 4, gives 24)

Hope this helps!

Determine the unknown value in the table using the constant of proportionality.
Time (seconds) 12 18 40
Number of Pencils Produced 42 63

Answers

The unknown value in the table using the constant of proportionality is; 96

How to find the constant of proportionality?

The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant.

We are given the coordinates;

(12, 42), (18, 63), (40, y)

where x-values represents time in seconds and y-values represents number of pencils that were produced.

To find the constant of proportionality is as good as finding the slope between two consecutive points as;

m = (63 - 18)/(42 - 12)

m = (45/30)

m = 1.5

Thus to find the unknown value y, we will use the formula;

(y - y1)/x - x1) = m

So we will use the coordinates; (18, 63), (40, y)

Plugging them into the formula above will result in;

(y - 63)/(40 - 18) = 1.5

y - 63 = 1.5 * 22

y - 63 = 33

y = 33 + 63

y = 96

Thus, we can conclude that using the constant of proportionality, the number of pencils that were produced after a time of 40 seconds is 96 pencils.

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There are 52 people in a room. What is the largest value of n such that the statement ""at least n people in this room have birthdays falling in the same month"" is always true?

Answers

The largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5

How to determine the value

From the given information, we have 52 people in the room

Note that there are 12 months in a year

Let's divide the number by people by the months of the year

⇒ [tex]\frac{52}{12}[/tex]

⇒ 4 remaining 4

If 48 people are evenly distributed over twelve months, then there will be four people born in each month.

The remaining four people can be placed each in any of the twelve different months.

Hence, if 52 people are evenly distributed as possible, there will be eight months with four people and four months with five people.

Thus, the largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5

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. A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. This is a tree diagram that represents the probability of customers choosing the different snack and drink options. Tree Diagram What is the value of Z

Answers

The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.

What is probability?

In mathematics, probability is considered as the chances a specific situation or event occurs. For example, you can calculate the probability that it rains tomorrow based on general weather patterns.

How to calculate the probability of two events happenning?Calculate or identify the probability of each event happening.Multiply the probabilities of the events involved.

What is the probability of Z event happnening?Probability that a person choses soda: 0.5Probability that a person choses chips: 0.5

Now, let's multiply these probabilities:

0.5 x 0.5 = 0.25 or 25% (0.25 x 100)

This means the  probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.

Note: This question is incomplete; here is the missing section:

What is the probability of Z (a passenger choosing chips and a soda)? a.)25% b.) 33% c.) 50%

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You can fine the run by subtracting the __ coordinate of the lead point from that of the right point

Answers

You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point.

The "slope formula" for a straight line connecting any two locations is another name for the rise over run formula. The rise is the difference between the y-coordinates of the two locations. The run is the difference between the x-coordinates of two locations. Divide the rise by the run to find the slope.

The rise over run formula is also known as the slope formula because the fraction consists of a rise, whether the line is moving up or down, divided by the run, which can be either left or right. The slope of the line dictates the direction of the line as well as its steepness.

Thus, "You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point".

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solve for the balloon volume using the equation below

Answers

The volume of the balloon is 1441.64cm³.

How to calculate the volume?

The radius of the balloon is given as 7cm. Also, the equation to calculate the volume is given as c³/6π²

The circumference c will be:

= 2πr = 2 × 22/7 × 7

= 44

The volume will be:

= c³/6π²

= 44³/(6 × 3.14²)

= 85284/(59.1576)

= 1441.64

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Subtract the matrices. What number fills in ?

Answers

The missing number for the subtraction of matrices is 4.

How to subtract the matrices?

The subtraction of two matrices of the same size is really direct. You just need to subtract the elements that are in the same position, then:

[tex]A = \left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\end{array}\right] \\\\B = \left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\end{array}\right]\\\\A - B = \left[\begin{array}{ccc}a_{11} - b_{11}&a_{12}-b_{12}\\a_{21} - b_{21}&a_{22}-b_{22}\end{array}\right][/tex]

Then the missing therm will just be equal to the difference between the last two elements of each matrix:

-2 - (-6) = -2 + 6 = 4

The missing number is 4.

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A new toy comes in the shape of a regular hexagonal pyramid. The base has side lengths of 10 inches and the apothem is 5√3 inches. If the surface area is 420 + 150√3 square inches, what is the slant height?
A. 11 inches
B. 14 inches
C. 7 inches
D. 28 inches

Answers

The slant height of the hexagonal pyramid is: B. 14 inches.

What is the Area of a Regular Hexagon?

Area of a regular hexagon = 3√3/2(s²)

First, find the area of the regular hexagon:

Area = 3√3/2(s²) = 3√3/2(10²) = 150√3 in.².

Surface area is given as 420 + 150√3 in.².

Area of the 6 triangles = surface area - area of hexagonal base = 420 + 150√3 - 150√3

Area of the 6 triangles = 420 in.²

Area of 1 triangle = 420/6 = 70 in.²

Use the area of a triangle to find the slant height (h):

70 = 1/2(10)(h)

2(70) = 10(h)

140/20 = h

h = 14 in.

The answer is B. 14 inches.

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Draw a graph of Lin’s distance as a function of time for this situation:



Lin walked a half-mile to school at a constant rate. Five minutes after arriving at school, Lin realized that she had left her permission slip at home. Lin began sprinting home, but when she was halfway there she got tired and walked the rest of the way.

Answers

The graph of Lin's distance as a function of time cannot be a straight line graph because of decrease in speed.

Given that Lin walks half a mile at a constant rate i.e. Lin velocity is constant.

If the speed is low then the time will be high. If speed is high then the time will be low because of the following rule:

Speed=Distance/ time.

For the first five minutes the graph will be upward sloping because he was sprinting and his speed was high so he will cover much more distance.

But after five minutes the graph will be downward sloping as the speed becomes low and he willcover less distance.

Hence the graph of Line's distance will not look like linear curve.

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You are not storing the hourly salary, but rather converting it to an annual salary. To convert an houlry salary to an annual salary, multiply the hourly rate by the number of hours per week and then by 52. You will need to do the reverse to get the hourly salary. } // Use the input to set the annual salary in the superclass Both classes should have a toString and examples are in the starter code. 6 7 8 9 10 11 12 13 14 - 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 public void setHourlySalary(double hourlySalary) { Be sure to test your classes in the EmployeeTester class! } * Example output: * Mike makes $18.0 per hour */ public String toString() { } Status: Not Submitted 9.4.8: Employees Save Submit + Continue RUN CODE TEST CASES ASSIGNMENT DOCS GRADE MORE E 1 - public class Employee { 2 3 private String name; 4 private double salary: 5 points Status: Not Submitted FILES In this problem, you are going to create an Employee superclass and an Hourly Employee subclass, public Employee (String name, double annualSalary){ } D EmployeeTester.java HourlyEmployee.java public String getName() { D Employee.java } The Employee class will hold the employee's name and annual salary. You should have getters for both instance variables, but only a setter for the salary. In the HourlyEmployee class, you will add an hours instance variable as well as a method to set and get the hourly salary. You are not storing the hourly salary, but rather converting it to an annual salary. To convert an houry salary to an annual salary, multiply the hourly rate by the number of hours per week and then by 52. You will need to do the reverse to get the hourly salary. Both classes should have a toString and examples are in the starter code. public double getAnnualSalary(){ 6 7 8 9 10 - 11 12 13 14 15 16 17 18 19 20 21 22 - 23 24 25 26 27- 28 29 30 31 } public void setAnnualSalary(double annualSalary) { } Be sure to test your classes in the EmployeeTester class! /** * Example output: * Mr. Karel makes $75000.0 per year * public String toString({ } } Ill give brainliest if correct Which equation represents a nonlinear function Why do the women hide the dead bird? The image above shows divergent plate boundaries.A. TrueB. False y = -x + 2y = 3x + 6Graph each line in the system shown below. What is the point of intersection? Does more than one exist? How do you know for sure? Find the surface area.8 ft8 ft5 ft Why do you think it is important to observe proper grammar when making definitions? Can a man with type AB blood be the biological father of a child with type O blood? NO LINKS!! Part 2Find an exponential function in y = ab^x form that satisfies the given informationc. Passes through the points (2, 20) and (7, 640)d. passes through (0, 6) and (3, 48)e. passes through (1, 21) and (2, 147) What satirical techniques are used in Animal Farm? Determine the distance from lens 1 to the final image for the system shown in the figure.What is the magnification of this image? Death cap mushrooms produce a substance called alpha-amanitin-eating even one death cap mushroom can be fatal. The toxin alpha-amanitin is an inhibitor of transcription. What would you predict to be the immediate outcome of adding alpha-amanitin to a cell? O reduced DNA synthesis O reduced binding of tRNAs to anticodons O reduced rate of translocation by ribosomes translating mRNA O increased rates of protein synthesis O reduced production of one or more types of RNA Calculate the molar concentration of 8 g of odium ulfate, Na2SO4(), diolved in 210 mL of olution Which best replaces the question mark in the box above? Seasonal variation in solar radiation, temperature, and day length is due to theA. tilt of the Earth's axis.B. greenhouse effect.C. Coriolis effect caused by the spinning of Earth on its axis.D. sunspot activities at the surface of the Sun. In thi modality of WBL, providing the trainee with training allowance i left to the dicretion of the TVI and it indutry partner