Which of the following are rational numbers?
-1 4/53 47.444... 92.555... 99

Answers

Answer 1

Answer:

All are rational except 47.444...


Related Questions

A trainer working for the circus trains a lion to jump through a hoop by rewarding small steps (like walking near the hoop, walking through the hoop, and so on) that eventually lead to this desired, more complex behavior. this trainer is using ____________________. shaping classical conditioning observational learning latent learning

Answers

The trainer is using the technique of shaping to train the lion to jump through a hoop. Shaping is a method of operant conditioning where desired behaviors are gradually achieved by reinforcing successive approximations of the target behavior.

The trainer is using shaping to train the lion. Shaping involves rewarding small steps or behaviors that are closer and closer to the desired behavior, gradually shaping the lion's behavior towards the ultimate goal of jumping through the hoop. The trainer starts by reinforcing simpler behaviors, such as walking near the hoop, and then progressively rewards more complex behaviors, like walking through the hoop, until the lion successfully jumps through the hoop.

Shaping is a technique derived from operant conditioning, a type of learning where behaviors are strengthened or weakened by the consequences they produce. By using positive reinforcement, in the form of rewards, the trainer motivates the lion to continue exhibiting behaviors that lead to the desired outcome. Through shaping, the lion learns to associate the hoop with positive reinforcement and is gradually shaped to perform the complex behavior of jumping through the hoop.

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Which graph shows the line y-1 = 2(x+2)?
A. Graph D
B. Graph A
C. Graph B
D. Graph C

Which graph shows the line y-1 = 2(x+2)?A. Graph DB. Graph AC. Graph BD. Graph C

Answers

Answer:

D. Graph C

Step-by-step explanation:

Step 1:  Identify the parts of the point-slope form to find the correct graph:

Currently, y - 1 = 2(x + 2) is in point-slope form, whose general equation is given by:

y - y1 = m(x - x1), where

(x1, y1) is one point on the line,and m is the slope.When (x1, y1) is plugged into the point-slope form, the sign of the actual coordinates becomes its opposite.  Thus, the coordinates of the point on the line y - 1 = 2(x + 2) is (-2, 1), while the slope is 2.Only Graph C C has the point (-2, 1).Furthermore, since slope is simply the change in y / change in x, we see that for every 2 units you rise (go up on the line), you run (go right on the line) 1 unit.

the mean of a normal probability distribution is 500 and the standard deviation is 10. about 95% of the observations lie between what two values? multiple choice 400 and 600 475 and 525

Answers

The correct answer is 475 and 525. To find the range of values that 95% of the observations lie between.

We can use the empirical rule, which states that for a normal distribution with mean μ and standard deviation σ, about 95% of the observations will fall within 2 standard deviations of the mean.

In this case, the mean is 500 and the standard deviation is 10. So, 2 standard deviations below the mean is 500 - 2(10) = 480, and 2 standard deviations above the mean is 500 + 2(10) = 520.

Therefore, about 95% of the observations lie between 480 and 520, or approximately between 475 and 525.

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3. My pineapple curd recipe calls for 4 of a cup of sugar. The only clean measuring cup I have
left is the half-cup. How many scoops of sugar using the half-cup measuring cup do I need in
order to double the recipe?

Answers

You will need to 16 scoops in order to double the recipe

what is the output of the following code snippet? public static void main(string[] args) { int value = 3; value ; system.out.println(value); }

Answers

The output obtained after executing the java code snippet,

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

will be 4.

As per the question statement, we are provided with a java code snippet, which goes as:

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We are required to determine the output, that we will obtain on executing the above mentioned code.

That is, on executing the code

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We will obtain an output of 4, as "++" is the post increment function.

Java: Java is a general-purpose, class-based, object-oriented programming language designed for having lesser implementation dependencies, where all programs are made of entities representing concepts or physical things known as “objects”Output: Output is the result of any action.

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Raphel graphed the functions g(x)=+2 and f(x)=x-1 how many units below the y- intercept of g(x) is the y-intercept of f(x)​

Answers

Answer:

Y_intercept of g(x) =(0, 2)

U_intersept of f(x) =(0, - 1)

After a long morning of sledding, Mrs. Fieldhouse made a batch of hot cocoa for her daughter and nighborhood friends. She divided it among 8 mugs. Each mug had more than 9 fluid ounces of hot cocoa. Write an inequality to describe the situation. ​

Answers

x>9 perfectly describes the situation.

In mathematics, inequalities characterise the connection between two non-equal numbers. Inequality implies being unequal. If two values are not equal, we use the "not equal symbol ()". However, various inequalities are employed to compare the numbers, whether they are less than or higher than.

Let x be the amount of hot cocoa in fluid ounces that each mug contains.

Since each mug has more than 9 fluid ounces of hot cocoa, we can write the inequality as:

x > 9

We also know that the total amount of hot cocoa made is 8 mugs * the amount of hot cocoa in each mug = 8x.

So the inequality can be written as:

8x > 9*8 = 72

or

x>9

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Can someone please help me

Can someone please help me

Answers

Answer:

1) B) 10

2) B) 9

Step-by-step explanation:

1) 10x+15=115

10x=100

x=10

2) 12x+17=125

12x=108

x=9

Answer:

B

Step-by-step explanation:

The guy above me is correct

This is a pond in the shape of a prism. it is completely full of water colin uses a pump to empty the pond. The level goes down by 30 cm in the first 30 mins.

THE NUMBERS ARE DIFFERENT TO SIMILAR QUESTIONS

This is a pond in the shape of a prism. it is completely full of water colin uses a pump to empty the

Answers

The required time is mathematically given as

t-150 minutes.

This is further explained below.

What is the time?

We know that the volume of the prism is given by.

Volume \($=$ (Base Area $) \times$ Height\)

Base Area  \($=\frac{1}{2} \times(1.4+0.6) \times 2$\)

Base Area \($=2 \mathrm{~m}^2$\)

Now,

\(Volume $=2 \times 1=2 \mathrm{~m}^3$\)

Given that there is a twenty percent drop in the level of the pond during the first thirty minutes.

Because of this, the volume increases.

\(Volume $=2 \times 0.8=1.6 \mathrm{~m}^3\)

Now, the rate of emptying the tank is,

\(=\frac{2-1.6}{30}=\frac{1}{75} \mathrm{~m}^3 / \mathrm{min}\)

In conclusion, We also know that,

$$

\(\begin{aligned}&\text { time }=\frac{\text { volume }}{\text { rate }} \\&\text { time }=\frac{2}{\frac{1}{75}}-150 \mathrm{~min}\end{aligned}\)

Therefore, Colin must wait for the pond to drain for a total of 150 minutes.

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Additive identity for whole numbers is​

Answers

number zero
The number zero is known as the identity element, or the additive identity. Additive Identity: It is the number which when added to another number gives you the number itself. Assume the whole numbers a, b. zero is the whole number which satisfies the condition mentioned in question.

Answer:the opposite

Step-by-step explanation:

Additive inverse means to add it's opposite to get an equal of 0, for example 15, the additive inverse for 15 is -15. So -15 + 15 is 0.

Make x the subject of m=n+x/p

Answers

Answer:

x=mp-n

Step-by-step explanation:

Switch sides:

(n+x)/p=m

Then multiply both sides by p:

n+x=mp

Move n to the other side:

x=mp-n

Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = t 9 − t2 , [−1, 3]

Answers

The absolute minimum = -2√2.

The absolute maximum=  4.5

Consider f(t)=t√9-t on the interval (1,3].

Find the critical points: Find f'(t)=0.

f"(t) = 0

√9-t² d/dt t + t d/dt √9-t²=0

√9-t²  + t/2√9-t² (-2t)=0

9-t²-t²/√9-t²=0

9-2t²=0

9=2t²,   t²=9/2, t=±3/√2

since -3/√2∉  (1,3].

Therefore, the critical point in the interval  (1,3] is t= 3/√2.

Find the value of the function at t=1, 3/√2,3 to find the absolute maximum and minimum.

f(-1)=-1√9-1²

    = -√8 , =-2√2

f(3/√2)= 3/√2 √9-(3/√2)²

        = 3/√2 √9-9/2

      =3/√2 √9/2

     =9/2 = 4.5

f(3)= 3√9-3²

    = 3(0)

    =0

The absolute maximum is 4.5 and the absolute minimum is -2√2.

The absolute maximum point is the point at which the function reaches the maximum possible value. Similarly, the absolute minimum point is the point at which the function takes the smallest possible value.

A relative maximum or minimum occurs at an inflection point on the curve. The absolute minimum and maximum values ​​are the corresponding values ​​over the full range of the function. That is, the absolute minimum and maximum values ​​are bounded by the function's domain.

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wirte the expression the quotient of the quantity k minus 8 and m

Answers

Answer:

k - m - 8

Step-by-step explanation:

pretty sure you just move the -8 to the back.

The cost for 2 adults and 5 children to eat at the local buffet restaurant is \$46.50 . The cost for 1 adult and 1 child is $15. What is the cost of a child's meal ?

Answers

Answer:

c = 5.5

Step-by-step explanation:

2 a + 5 c = 46.50

a + c = 15

a = 15 - c

2(15-c ) +5c = 46.50

30 - 2c +5c = 46.5

3c = 16.5

c = 5.5

Let a be the adults and c be the children.

For the first equation there are 2 adults and 5 children so the equation is:-

2a + 5c = 46.50

And for the second equation there is 1 adult and 1 child. So the equation is:-

a + c = 15

a = 15 - c

You take this formula and substitute it to the above formula (2a + 5c = 46.50)

➡️ 2a + 5c = 46.50

➡️ 2(15 - c) + 5c = 46.50

➡️ 30 -2c + 5c = 46.50

➡️ 5c - 2c = 46.50 - 30
(You collect like terms)

➡️ 3c = 16.5

➡️ c = 16.5/3

➡️ c = 5.5

Substitute the expressions for length and width into the formula 2l 2w. distribute 2 to each term in the parentheses. combine like terms. inches

Answers

The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

What is perimeter of the rectangle?

The formula P=2l+2w, where l is the rectangle's length and w is its width, determines the perimeter P of a rectangle. The equation A=lw, where l is the length and w is the width, determines the area A of a rectangle.

The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x+ 6

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2( l + w)

Given the following parameters

length l = 8x - 1

width w = 2x + 4

Substitute the expressions for the length and width into the formula;

P = 2(8x - 1 + 2x + 4)

P = 2(10x + 3)

Distribute 2 over each term in the parenthesis

P = 2(10x) + 2(3)

P = 20x + 6

Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6.

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The complete question is -

The perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width. Complete the steps to find an expression that represents the perimeter of the rectangle. Substitute the expressions for length and width into the formula 2l + 2w. Distribute 2 to each term in the parentheses. Combine like terms. inches

In the coordinate plane, the point A (-2,2) is translated to the point A (2,-3). Under the same translation, the points B (-4,-1) and C (-6,5) are translated to B and C respectively. What are the coordinates of B and C?

Answers

In the coordinate plane, the point A (-2,2) is translated to the point A (2,-3). Under the same translation, the points B (-4,-1) and C (-6,5) are translated to B and C respectively. What are the coordinates of B and C?

Answer: B(0,-6); C(-2,0)

Step-by-step explanation:

A was translated 4 units to the right (x) and 5 units down (y)

Do the same for the other points

B(-4+4, -1-5)                        C(-6+4, 5-5)

B(0, -6)                                C(-2, 0)

Help me as fast as you can please.......!

Help me as fast as you can please.......!

Answers

Answer:

maybe 30

Step-by-step explanation:

[4+(-3)]b-b(-6+2)
Help me plz
its due by midnight ​

Answers

Step-by-step explanation:

[ 4 - 3 ] b -b (-4)

1 b + 4b

5b Ans according to me

A work breakdown structure (wbs) shows tasks, dates, and dependencies. true false

Answers

A work breakdown structure (wbs) shows tasks, dates, and dependencies. The given statement is false.

In project management and systems engineering, a work-breakdown structure is a deliverable-focused division of a project into more manageable parts. A essential project deliverable that divides the team's work into digestible chunks is a work breakdown structure.

A project's tasks are organized hierarchically in a work breakdown structure (WBS). The WBS "breaks down" a project's structure into doable deliverables. A project's tasks are organized hierarchically in a work breakdown structure (WBS).

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Please answer quickly!!!!

If you have a rewards card at Biggyby, you earn a free drink after every 12 drinks you buy. Can the total amount of money spent at biggby after ordering n drinks be considered arithmetic? Why or why not

Answers

i love you and Add an independent clause to each dependent clause below to complete

No. The total amount after ordering n drinks can't be arithmetic because arithmetic consists of a number not an expression.

It is given that we have a reward card with which we can earn a free drink after every 12 drink we buy.

We have to find out that is the total amount after ordering n drinks can be arithmetic ?

What do you mean by arithmetic ?

Arithmetic meant to work with numbers by doing processes such as ; addition, subtraction, multiplication, and division.

As per the question ,

We earn a free drink after every 12 drinks.

That meant , if we order n drinks then we will get free drink after every 12 drink.

As we know that ;

Arithmetic only has numbers and it doesn't consist of variables.

The money spent at Biggby is an expression about n and n is a variable , so it can't be considered arithmetic.

Thus , it can't be considered as an arithmetic because arithmetic has only numbers and no variables.

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4.21 game of dreidel. a dreidel is a four-sided spinning top with the hebrew letters nun, gimel, hei, and shin, one on each side. each side is equally likely to come up in a single spin of the dreidel. suppose you spin a dreidel three times. calculate the probability of getting

Answers

The probability of getting at least one nun in three spins of a dreidel is approximately 0.578

The probability is the ratio of number of favorable outcomes to the total number of outcomes

The probability of getting no nuns in a single spin is 3/4, since there are three non-nun letters (Gimel, Hei, Shin) and four total letters.

The probability of getting no nuns in three spins is then (3/4)^3, since the spins are independent and we can multiply probabilities of independent events.

So the probability of getting at least one nun in three spins is

= 1 - (3/4)^3

= 1 - 0.421875

= 0.578125

Therefore, the probability of getting at least one nun is 0.578

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The given question is incomplete, the complete question is:

A dreidel is a four-sided spinning top with the Hebrew letters nun, gimel, hei, and shin, one on each side. Each side is equally likely to come up in a single spin of the dreidel. Suppose you spin a dreidel three times. Calculate the probability of getting (a) at least one nun?

What is the angle and the answer pls this is a quiz grade

What is the angle and the answer pls this is a quiz grade

Answers

Answer:

b is equal to 132

because of the transversal rule, b and 132 are corresponding angles, which means that they are equal to the same measure

hope this helps :)))

ur lucky at least ur math teacher gives you fun assignments to do to solve a murder mystery

my teacher has us doing 4 page review guides for finals

I think B is equal to 132
I hope it’s help

Hunter and three friends were going to the movies. The movie tickets cost $10 each, they bought three popcorns at $7.25, and three drinks at $2.75. How much money did they spend total?

Answers

Hunter and three friends spent a total $41 of money.

What is addition?

Addition is the process used to combine things and count them as a single, large group. Addition in mathematics is the process of combining two or more numbers. The term "sum" refers to the result of the process, and "addends" refers to the numbers that are added.

Given, Hunter and three friends were going to the movies.

The movie tickets cost $10 each.

So, cost of movie ticket is 3 times $10 = $30.

And they bought three popcorn at $7.25, and three drinks at $2.75.

That means, the expenditure other than movie is;

$7.25 + $2.75 = $11

To find the total money they spent:

Add all the expenditures,

$30 + $11 = $41.

Therefore, they spent $41.

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Pepe Rodriquez works 42.5 hours at $6.20 per hour. He makes no tips nor bonuses. Anything over 40 hours is paid at time-and-a-half. What are his earnings?
A. $255.75
B. $263.50
C. $271.25
D.$305.66

Answers

Pepe Rodriquez works 42.5 hours at $6.20 per hour. The first 40 hours would be paid at the standard rate of $6.20 per hour, equaling $248.

The correct answer is B. $263.50, which is calculated by taking the standard pay of 40 hours at $6.20 per hour ($248) and adding the time-and-a-half pay of 2.5 hours at $9.30 per hour ($23.25).

Pepe Rodriquez works 42.5 hours at $6.20 per hour. The first 40 hours would be paid at the standard rate of $6.20 per hour, equaling $248. The remaining 2.5 hours would be paid at time-and-a-half, which is 1.5 times the hourly rate of $6.20, equaling $9.30 per hour. The total pay for the 2.5 hours is therefore $9.30 x 2.5 hours = $23.25. Adding the standard pay of $248 to the time-and-a-half pay of $23.25 yields a total of $263.50. Therefore, the correct answer is B. $263.50.

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how do I do this step by step?!

how do I do this step by step?!

Answers

Answer:

\(2x^{2}\) + \(2x\) + \(2\)

Step-by-step explanation:

1. In the expression: C - 3D, we plug in the values of C and D

2. So we get the expression: \((2x^{2} + 5x -1) - 3(x - 1)\)

3. Then we simplify this even more: \((2x^{2} + 5x -1) - (3x + 1)\) by multiplying 3 to the numbers in the parentheses

4. Now we can remove the parentheses: \(2x^{2} + 5x - 1 - 3x + 3\)

5. Now we can put the like terms next to each other: \(2x^{2} + 5x - 3x + 3 - 1\)

6. FINALLY we simplify: \(2x^{2} + 2x + 2\)

Hope this helps! <3

points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

Answers

Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

True

a cylindrical tank for refrigerant has an inside diameter of 14 inches and is 16 inches high. what is the volume of the tank in cubic inches?

Answers

The volume of the cylindrical tank for refrigerant with an inside diameter of 14 inches and a height of 16 inches is 10,736 cubic inches.

The volume of a cylinder can be calculated using the formula:

\(\[ V = \pi r^2 h \]\)

where V represents the volume, \(\(\pi\)\) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder (which is half the diameter), and h is the height of the cylinder.

In this case, the inside diameter of the tank is given as 14 inches, so the radius can be calculated as \(\(r = \frac{14}{2} = 7\)\) inches. The height of the tank is given as 16 inches. Substituting these values into the formula, we get:

\(\[ V = 3.14159 \times 7^2 \times 16 \approx 10,736 \text{ cubic inches} \]\)

Therefore, the volume of the cylindrical tank for refrigerant is approximately 10,736 cubic inches.

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A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee per class he attends. The equation y = 30 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.

Which graph represents this situation?

A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee
A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee

Answers

The graph that represents the situation is given in the attached image.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

A gymnast joined a yoga studio to improve his flexibility and balance.

He pays a monthly fee and a fee per class he attends.

The equation y = 30 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.

The graph of the linear equation is given in the attached image.

And the graph that is equivalent to the graph is also given in the attached image.

Therefore, the equivalent graph is given in the attached image.

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A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee
A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee

Find the marginal distribution of military status in percentages. Round to the nearest whole percent.

Answers

The question is incomplete. Here is the complete question.

Mavis is interested whether military status is related to gender in American Samoa. The data she collected about the population of American Samoa in 2010 is below.

Find the marginal distribution of military status in percentages. Round to the nearest whole percentages.

In Armed Forces:

Military-dependent:

Civilian:

Answer: In Armed Forces: 0%

              Military-dependent: 3%

              Civilian: 97%

Step-by-step explanation: Marginal Distribution is defined as the probability distribution of variables contained in a subset.

For the American Samoa's military status, marginal distribution is

1) In Armed Forces:

\(p_{1}=\frac{87}{55,519}*100\)

\(p_{1}=0.15\)

2) Military-dependent:

\(p_{2}=\frac{1709}{55,519}*100\)

\(p_{2}=3.08\)

3) Civilian:

\(p_{3}=\frac{53,723}{55,519}*100\)

\(p_{3}=96.77\)

Now round each percentage to the nearest whole percentage:

Armed forces: 0%

Military: 3%

Civilian: 97%

The marginal distributions of military status are, in nearest whole percentage:

Armed forces: 0%

Military: 3%

Civilian: 97%

Find the marginal distribution of military status in percentages. Round to the nearest whole percent.

If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?

Answers

Answer:  29

=================================

Work Shown:

Solve the second equation for f(b)

2f(b) = 28

f(b) = 28/2

f(b) = 14

----------

Plug in x = b and solve for b

f(x) = 3x-1

f(b) = 3b-1 ... replace every x with b

14 = 3b-1 ..... plug in f(b) = 14

3b-1 = 14

3b = 14+1

3b = 15

b = 15/3

b = 5

-----------

f(x) = 3x-1

f(2b) = 3(2b)-1 .... replace every x with 2b

f(2b) = 3(2*5)-1 .... plug in b = 5

f(2b) = 3*10-1

f(2b) = 30-1

f(2b) = 29

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PLEASE HELPquestion 1Kinetic energy is described as O elastic O decreasing energy O movement O stored energy question 2 Kinetic energy depends on O density and volume O position and height O heat and pressure O mass and speed question 3 If two trucks are moving at the same speed but truck A has a mass of 3,000 kg,. And truck B has a mass of 4,500 kg which statement is true?O truck B will have a greater stopping distance O Truck A will have a greater stopping distance O Truck B has less kinetic energy O Truck A has a greater kinetic energy Question 4 If you throw a ball straight up into the air when is the kinetic energy the greatest?O half the distance on this path traveling up in the air O half the distance on ten path is traveling back down O right before you catch it after it falls back down O when the ball reached the highest point and stops brieflyQuestion 5 When is the kinetic energy of a pendulum the least?O half the distance on the path traveling back down O at the bottom of the swing O at the top of the swim bc where it briefly stops before changing directions O on the path beginning the upward swing Write an equation for the trend line shown. Type answer in y = mx + b format. A pastry chef can create 18 muffins in 2 hours. What is the unit rate per minute at which this pastry chef can create muffins?0.15 min540.00 min9.00 min0.45 min If an ion bar i weighing at 65g and fall from a 2. 5m ladder , at the velocity rate of 15 newton, how long will it take to hit the ground with the account of gravitational pull adapting information systems (is) to new versions of business processes is a quick process. true or false The present value of an ordinary annuity of $2,500 each year for 10 years, deposited at 15 percent per annum, is$50,759.$25,000.$28,750.$12,547.$17,210. Several years ago Brant, Inc., sold $950,000 in bonds to the public. Annual cash interest of 8 percent ($76,000) was to be paid on this debt. The bonds were issued at a discount to yield 12 percent. At the beginning of 2016, Zack Corporation (a wholly owned subsidiary of Brant) purchased $190,000 of these bonds on the open market for $211,000, a price based on an effective interest rate of 6 percent The bond liability had a carrying amount on that date of $810,000. Assume Brant uses the equity method to account internally for its investment in Zack a. & b. What consolidation entry would be required for these bonds on December 31, 2016 and December 31, 2018? (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Round your intermediate answers to nearest whole number.) 9. Salvador is playing a game where theproduct must be greater than 5. Which twocards result in a product greater than 5?31/1/23A. 1 and 4B. 3 and 12C. 3 and 128D. 2 and 12/231/4/283 I am confused pls help don't know what to do don't just answer it pls you can just write how you solve it 37 yo M presents with severe epigastric pain, nausea, vomiting, and mild fever.He appears toxic. He has a history of intermittent epigastric pain that is relieved by food and antacids. He also smokes heavily and takes aspirin on a regular basis.What the diagnose? The radius of a circle with centre O is 5 cm. The lengths of the chords AB and BC are 6 cm and 8 cm respectively. The midpoints of the chords are X and Y respectively. Find the perimeter of the quadrilateral OXBY. For two functions, a(x) and b(x), a statement is made that a(x) = b(x) at x = 2. What is definitely true about x = 2? a) Both a(x) and b(x) have a maximum or minimum value at x = 2.b) Both a(x) and b(x) have the same output value at x = 2.c) Both a(x) and b(x) cross the x-axis at 2.d) Both a(x) and b(x) cross the y-axis at 2.