What is the domain and range of y=3√5x-2?

Answers

Answer 1
Refer to the attached image.
What Is The Domain And Range Of Y=35x-2?

Related Questions

What is multiple intelligences test?

Answers

A multiple intelligences test is an assessment that identifies an individual's strengths and weaknesses across different types of intelligence, as defined by Howard Gardner's theory of multiple intelligences.

The test aims to help individuals understand their unique strengths and learning styles, and to guide educators in developing personalized teaching strategies. Multiple intelligences test is an assessment that identifies an individual's strengths and weaknesses across different types of intelligence, as defined by Howard Gardner's theory of multiple intelligences. The test is designed to go beyond traditional IQ tests, which focus on logical-mathematical and linguistic intelligence, and assess a wider range of abilities, such as musical, spatial, bodily-kinesthetic, interpersonal, and intrapersonal intelligence. The test is intended to help individuals better understand their unique strengths and learning styles, and to guide educators in developing more personalized teaching strategies that cater to a diverse range of intelligences.

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The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet. 2: 0, 2, 5
3: 1, 3, 4
4: 1, 1, 5
5: 0, 6
6: 7
Key: 3|1 means 3.1 What is the mean, and what does it tell you in terms of the problem?
A3.1 feet; The value means the furthest the ball went.
B3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.
C4.1 feet; The value means this measurement had the most occurrences.
D4.65 feet; The value means that a typical throw of the ball results in 4.65 feet.

Answers

The mean of the stem and leaf plot and the meaning of this mean is B. 3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.

How to find the mean ?

To find the mean, add up all the values of feet that the heavy ball was thrown in the air and then divide by the number of times the ball was thrown.

The mean is therefore :

= ( 20 + 22 + 25 + 31 + 33 + 34 + 41 + 41 + 45 + 50 + 56 + 67 ) / 12

= 465 / 12

= 38. 75 ft

This mean is the value that the typical throw of the ball results in.

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Find the tangent of the smaller acute angle in a right triangle with side lengths 5, 12, and 13. Write your answer as a fraction.

Answers

The tangent of the smaller acute angle in a right triangle is tanФ = 5/12 taking side 5 as opposite side and 12 as adjacent side.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent or (base and perpendicular)

The Formula of tangent is opposite side/ adjacent side

Given, a right triangle with side lengths 5, 12, and 13.

We can see that largest side i.e., 13 is a hypotenuse of triangle and other two sides are base and perpendicular length.

Tangent taking side 5 as opposite side and 12 as adjacent side

tanФ = 5/12.

Tangent taking side 12 as opposite side and 5 as adjacent side

tanФ = 12/5

so, the  tangent of the smaller acute angle in a right triangle is 5/12.

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4) While designing a new dessert menu, the manager of a restaurant offered customers a
coupon in exchange for completing a brief survey about their favorite desserts. 20 of the
customers accepted the offer.
) Is this a random sample of the restaurant's customers?

YES/NO

Answers

This is not a random sample of the restaurant's customers.

Why is this not a random sampling ?

The offer of a coupon in exchange for completing a brief survey about favorite desserts may bias the sample and result in a non-random sample of the restaurant's customers.

Only those customers who were interested in the coupon may have participated in the survey, which may not be representative of the overall customer population. Additionally, those who chose to participate may have different tastes and preferences compared to those who did not participate.

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Find C. Round to the nearest tenth.

Answers

Answer:

it is 60

Step-by-step explanation:

you add all the numbers than you round it, the number is 0 so it stays the same, hope it helps, murdle

What is the value of 37 degrees c in f?

Answers

The formula for converting Celsius (°C) to Fahrenheit (°F) is °F = (°C × 9/5) + 32. To convert 37 degrees Celsius to Fahrenheit, you must multiply 37 by 9/5 and then add 32.

The calculation is: 37°C × 9/5 = 66.6 and 66.6 + 32 = 98.6°FTherefore, 37 degrees Celsius is equal to 98.6 degrees Fahrenheit.The formula for converting Celsius (°C) to Fahrenheit (°F) is °F = (°C × 9/5) + 32. To convert 37 degrees Celsius to Fahrenheit, you must multiply 37 by 9/5 and then add 32. To convert Celsius to Fahrenheit, the formula is simple and easy to remember. Multiply the Celsius temperature by 9/5, then add 32. This formula is useful for many applications, such as measuring air and water temperature, cooking and baking, and more. Knowing how to convert from Celsius to Fahrenheit is important for many everyday tasks.

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The diameter of a circle is 16 meters. What is the circle's circumference? use 3.14

Answers

Answer:

50.24

Step-by-step explanation:

c=[tex]2\pi R[/tex]=[tex]d\pi[/tex]=16*3.14=50.24

A boat travels about 8 kilometers per hour in
still water. If the boat is on a river that flows at a
constant speed of kilometers per hour, it can
travel at a 8 + r speed of kilometers per hour
downstream and 8 − r kilometers per hour
upstream. On the Chattahoochee river, the
boat can travel 4 kilometers upstream in the
same amount of time it takes to travel 12
kilometers downstream. What is the speed of the
river?

Answers

The speed of the river is given as follows:

4 kilometers per hour.

How to obtain the velocity of the river?

The lowest speed that can be assumed by the boat is given as follows:

8 - r.

In which r is the speed of the river.

The lowest velocity is of 4 kilometers per hour, hence the speed of the river is obtained as follows:

8 - r = 4

r = 8 - 4

r = 4 kilometers per hour.

Then the maximum velocity is of:

8 + 4 = 12 kilometers per hour.

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Derive Linear Equations-Quiz-Level H

Answers

The slope of the line is -1/4, So correct option is B.

Describe Slope?

It is defined as the ratio of the change in the vertical coordinate (y) to the change in the horizontal coordinate (x) between any two points on the line or curve. The letter m is typically used to indicate a line's slope.

The formula for the slope of a line between two points (x1, y1) and (x2, y2) is:

m = (y2 - y1) / (x2 - x1)

The slope can be positive, negative or zero, depending on the direction of the line. A positive slope indicates that the line is moving upwards from left to right, while a negative slope indicates that the line is moving downwards from left to right. A slope of zero indicates that the line is horizontal.

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

slope = (y2 - y1)/(x2 - x1)

Using the coordinates (-4, 2) and (4, 0), we have:

slope = (0 - 2)/(4 - (-4)) = -2/8 = -1/4

Therefore, the answer is option B, -1/4.

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PLEASE ANSWER!!
Solve the equation by writing a​ linear-quadratic system and solving using the intersection feature of a graphing calculator.

Answers

The value of x where both curve and line intersect with each others are -0.44 and 1.69

Using the linear-quadratic system, both curve and line are intersecting in 2 points where:

f(x) = g(x)

8x2 - 13x + 8 = 14 - 3x

8x2 - 10x - 6 = 0

We will use the ABC theorem, where:

x = -b ± √(b2 - 4ac)

               2a

x = - (-10) ± √((10)2 - 4(8)(-6))

                  2(8)

x = 10 ± √(100 + 192)

             16

x = 10 ± 2√73

           16

x1 = 10 - 2√73  = -0.44

           16

x2 = 10 + 2√73 = 1.69

             16

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image is the question

Answers

The equation of the context is, 3.5x + 2y = 42 and

The y-intercept is when x = 0, indicating that no funnel cakes were purchased, and the x-intercept is when y = 0, indicating that no deep-fried Oreos were purchased.

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

From, The given information the equation can be modeled as,

3.5x + 2y = 42.

The x-intercept is when y = 0 which states no deep fried oreos bought and the y-intercept is when x = 0, states no funnel cakes bought.

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The value of “y” varies directly with “x” If y= 12 then X =4

Solve for K

Answers

Step-by-step explanation:

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Refer to the attached image.

1/2 minus (1/8+1/8) I need help can somebody give me advice on this

Answers

Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Add 1+1=2

Cancel CF which is 2

Now you will be with

1/2 - 1/4

Calculate


Solution

1/4

The residents of a city voted on whether to raise property taxes the ratio of a yes votes to no votes was 5 to 4 if there were 4923 total votes how many yes votes were there ?

Answers

Answer:

2,735 yes votes

Step-by-step explanation:

First we have too determine the ratio of yes votes to the total number of votes.

We can rationalize thus

If there are 5 yes votes and 4 no votes, the total number of votes = 5+ 4 = 9

So 5/9th of the total votes are yes votes

If the total number of votes = 4923 , number of yes votes = 5/9 x 4923

= 2,735 yes votes       ANSWER

We can check to see if our reasoning is correct:

Total number of no votes = 4923 - 2735 = 2188

Yes votes to Nay votes = 2735 : 2188

As a fraction:
2735 / 2188 = 1.25

1.25 = 1 1/4 = 5/4 which is the ratio of yes to no votes and tallies with the question data

Find the equation of the line specified. The slope is 3, and it passes through ( -4, -7). A. Y = 6x + 5 c. Y = 3x - 7 b. Y = 3x + 5 d. Y = 3x - 19.

Answers

The equation represents the line that has a slope of 3 and passes through the point (-4,-7) is Y = 3X - 5.

The equation of a line is a mathematical expression that describes the relationship between the x and y coordinates of any point on the line.

The slope of a line is the steepness of the line and can be calculated by finding the ratio of the change in y to the change in x for any two points on the line. In this case, the slope of the line is 3. The line also passes through the point (-4,-7), which means that we can use this point to find the equation of the line.

To find the equation of the line, we need to use the slope-intercept form, which is given by

=> Y = mX + b,

where m is the slope and b is the y-intercept. To find the y-intercept, we can use the point (-4,-7) and substitute it into the equation:

=> -7 = 3 * -4 + b.

Solving for b, we find that b = -5.

Therefore, the equation of the line is Y = 3X - 5.

So, the correct answer is b. Y = 3x + 5.

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Geometry please help

Answers

The value of x in the triangle is 10 units

How to determine the value of x

From the question, we have the following parameters that can be used in our computation:

The triangle

On the triangle, we have the following equivalent ratio

x : 15 = 4 : 6

Express as fraction

So, we have

x/15 = 4/6

This gives

x = 15 * 4/6

Evaluate

x = 10

Hence, the value of x is 10

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As a rule of thumb, altitude corrections of less than 100 feet should be corrected by using A.two bar widths on the attitude indicator. B.less than a half bar width on the attitude indicator. C.less than a full bar width on the attitude indicator.

Answers

As a rule of thumb, altitude corrections of less than 100 feet should be corrected by using "less than a full bar width on the attitude indicator".

C. is the answer.

How should altitude corrections of less than 100 feet be corrected?

The attitude indicator (also known as an artificial horizon) is a key instrument in an aircraft that displays the aircraft's pitch and bank attitude. The instrument typically consists of a gyro that indicates the aircraft's attitude relative to the horizon.

When flying an aircraft, it's important to maintain a specific altitude, and to make adjustments as needed to stay on course. The altitude is typically measured in feet above sea level, and can be affected by a number of factors, such as temperature, pressure, and wind.

As a rule of thumb, altitude corrections of less than 100 feet can be corrected using the attitude indicator by making adjustments that are less than a full bar width on the instrument. This means that the correction is relatively small and does not require a significant adjustment of the aircraft's pitch or bank.

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what are the angles of the square​

Answers

Answer:

90, 90, 90, 90

Step-by-step explanation:

This is because a squares angles are ALWAYS 90

Answer: All 90 degrees

Step-by-step explanation:

Which expression has the value greater than 1/2

Answers

The expression 1/2 × 5/4 has the value greater than 1/2. Therefore, option D is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here,

A) 1/2 × 4/5

= 2/5

= 0.4

B) 1/2 × 4/4

= 1/2

= 0.5

C) 1/2 × 5/5

= 1/2

= 0.5

D) 1/2 × 5/4

= 5/8

= 0.625

Therefore, option D is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which expression has the value greater than 1/2

A) 1/2 × 4/5

B) 1/2 × 4/4

C) 1/2 × 5/5

D) 1/2 × 5/4

Can somebody help me on this please? I can’t tell of its side-angle-side or side-side-side that stands for sas or sss.

Answers

Answer: SSS (Side- Side- Side) Congruence Postulate

Step-by-step explanation:

Find the difference. use your answer in the simplest terms, using the slash ( / ) as the fraction bar.

7/8 - 5/7
urgent! (short answers please)

Answers

Answer: 9/56

Step-by-step explanation:

The answer is 9/56
Hope this helps!!!

how much 44f to celcius ?

Answers

44 °F was found out to be equivalent to approximately 6.67 °C using conversion formula of Fahrenheit to Celsius.

To convert a temperature from Fahrenheit to Celsius, you can use the following formula:

°C = (°F - 32) x 5/9

where °C is the temperature in Celsius, and °F is the temperature in Fahrenheit.

Using this formula, we can convert 44 °F to Celsius as follows:

°C = (44 - 32) x 5/9

= 12 x 5/9

= 6.67 °C (rounded to two decimal places)

Therefore, 44 °F is equivalent to approximately 6.67 °C.

On the Fahrenheit scale, water freezes at 32 degrees Fahrenheit (°F) and boils at 212 °F, at standard atmospheric pressure.

On the Celsius scale, the freezing point of water is defined as 0 degrees Celsius (°C), and the boiling point of water is defined as 100 °C, at standard atmospheric pressure.

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how much 69.9 kg in lbs?

Answers

The weight 69.9 kg is equal to approximately 154.32 pounds. This conversion was done using the formula 69.9 kg x 2.20462 lbs/kg = 154.32478 lbs.

We know that 1 kg is equivalent to 2.20462 pounds, which means that we can convert kilograms to pounds by multiplying the weight in kilograms by the conversion factor 2.20462.

So to convert 69.9 kg to pounds, we can use the following formula:

69.9 kg x 2.20462 lbs/kg = ? lbs

Multiplying 69.9 by 2.20462 gives us:

69.9 x 2.20462 = 154.32478

Therefore, 69.9 kg is equivalent to 154.32478 pounds.

Finally, we can round this result to two decimal places to get:

69.9 kg is approximately equal to 154.32 pounds.

So the final answer is that 69.9 kg is equivalent to approximately 154.32 lbs.

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The graph of f(x) = |x| has been translated left 2 units and up 1 unit. If no other transformations of the function have occurred, which point lies on the new graph? (–4, 2) (–3, 1) ( –2, 5) ( –1, 2)

Answers

The point (- 1, 2) lies on the new graph.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The graph of f(x) = |x| has been translated left 2 units and up 1 unit.

Now, The function is,

⇒ f (x) = |x|

After translated 2 unit left we get;

⇒ f (x) = |x + 2|

And, After translated 1 unit down we get;

⇒ f (x) = |x + 2| + 1

Now, We can check all the given points as;

For point (- 1, 2);

Put x = -1 , f (x) = 2;

⇒ f (x) = |x + 2| + 1

⇒ 2 = |- 1 + 2| + 1

⇒ 2 = 1 + 1

⇒ 2 = 2

Thus, The point (- 1, 2) lies on the new graph.

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The graph of a piecewise-defined function is shown below.

On the interval
the function is given by the rule , and on the interval the function is given by the rule .

Answers

The graph of a piecewise-defined function y=c is a horizontal line reaching height c from the x-axis.

Explain about the piecewise-defined function?

A piecewise function is arithmetic that is constructed from bits of various functions across various time intervals.

To determine which of the above intervals (as well as inequalities) -

the data user belongs to before evaluating a piecewise function at each given input.Simply substitute the provided input there in function specification for that specific period after that.

Keep in mind that the function is represented by the line y=1 and is from -∞ to 0, or the left side.

Similar to that, the function is y=-1 from 0 to ∞ (doesn't include) .

Hence, the rule provides the function:

y=1, for x≤0,

y=-1, for x>0.

Thus, the graph of a function y=c is a horizontal line reaching height c from the x-axis.

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The complete question is-

The graph of a piecewise-defined function is shown below.

Check the correct option-

On the interval (x≤0, x≤1, x<1, x<0) the function is given by the rule (x= - 1, y= - 1, y=1, x=1), and on the interval (x≥0, x>1, x≥1, x>0) the function is given by the rule (y= - 1, x= - 1, y= 1, x= 1).

Which quadrilateral has diagonals that are alwaysperpendicular bisectors of each other?1) square 2) rectangle 3) trapezoid4) parallelogram

Answers

The quadrilateral with diagonals that are always perpendicular bisectors of each other is a square. Correct option is 1.

In a square, the diagonals bisect each other at right angles, which means they intersect at a 90-degree angle. Moreover, since a square has four congruent sides and four right angles, the diagonals are also congruent. Thus, each diagonal is a perpendicular bisector of the other diagonal, splitting it into two equal segments.

In contrast, a rectangle has diagonals that bisect each other, but they are not always perpendicular. A trapezoid has only one pair of opposite sides that are parallel, and its diagonals do not bisect each other.

A parallelogram has opposite sides that are parallel, but its diagonals do not necessarily bisect each other or intersect at a right angle.

Therefore, the correct answer is a 1 (square).

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how many seconds in 4.571 billion years

Answers

4.571 billion years is equals to  1.4415 × 10⁷ seconds.

To calculate the number of seconds in 4.571 billion years, we first need to determine how many seconds there are in a year. There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 365 days in a year. Multiplying these together gives us 31,536,000 seconds in a year.

Next, we multiply the number of seconds in a year by the number of years in 4.571 billion years. This gives us:

31,536,000 seconds/year x 4,571,000,000 years = 1.4415 × 10¹⁷ seconds

Therefore, there are approximately  1.4415 × 10¹⁷ seconds  in 4.571 billion years.

It's worth noting that this calculation assumes a standard year of 365 days. In reality, a year is slightly longer than 365 days, and so the actual number of seconds in 4.571 billion years would be slightly higher. Nonetheless, this calculation provides a good approximation.

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This is due tmrw help

Answers

The required values are;

(2). x = 88°

(3). x = 5.

What is the interior angle?

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

Given:

(2). The exterior angle is 52°.

So, the sum of all the interior angles in the polygon = (5 - 2)180

x + (180 - 52) + 2x + x + 2 + 90 = 560

4x + 208 = 560

4x = 352

x = 88

(3). From the diagram of the triangle,

12x - 20 = 2 (3x + 5)

12 x - 6x = 10 + 20

6x = 30

x = 5

Therefore, the values are x = 88 and x = 5.

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The diagram below shows a rectangular prism made up of
inch cubes.

1. How many unit cubes whose dimensions are 3/5 inch fill up the rectangular prism?
_________

2. Find the total volume, in cubic inches, represented in the diagram.
_______ cubic inches

Answers

The number of unit cubes whose dimensions are 3/5 inch fill up the rectangular prism is (125/27)abc.

The total volume, in cubic inches, is represented in the diagram n cubic inches.

What is a cube?

A cube is a three-dimensional object who has six faces.

Since each side of the unit cube has a length of 1 inch, the number of unit cubes that fill up the rectangular prism is equal to its volume in cubic inches. If the rectangular prism has dimensions a x b x c inches, then its volume is V = abc cubic inches.

Now, we need to find how many unit cubes whose dimensions are 3/5 inch fill up the rectangular prism. First convert the dimensions of the unit cube and the rectangular prism to a common unit, such as inches. Since 1 inch = 5/3 unit cubes, each side of the unit cube has a length (3/5) inch. Therefore, each side of the rectangular prism has dimensions (5a/3) x (5b/3) x (5c/3) unit cubes.

To find the number of unit cubes that fill up the rectangular prism, we can divide its volume (abc cubic inches) by the volume of each unit cube, which is (3/5)³ cubic inches. Thus, the number of unit cubes whose dimensions are 3/5 inch that fills up the rectangular prism is:

(abc) / [(3/5)³] = (125/27)abc

To find the total volume represented in the diagram, we need to add up the volumes of all the unit cubes shown in the diagram. Since we don't know the dimensions of the rectangular prism, we can't calculate its volume directly.

Therefore, the total volume represented in the diagram is n cubic inches.

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Two high schools, A and B, are each trying to raise at least $3,000 for new computers. School A received a $500
donation from the Parents' Club and will sell stuffed bears at $10 each to raise the remaining money. School B received a $1,250 donation from the
Parents' Club and will sell stuffed monkeys for $7.50 each to raise the remaining money.

1) Write an inequality for each school that represents the number of stuffed animals the school must sell to reach their goal.

2) Compare the minimum number of stuffed animals School A and B must sell and determine which school must sell more.

Answers

If Two high schools, A and B, are each trying to raise at least $3,000 for new computers. The inequality  for each school is : x ≥ 250, x ≥ 233.33.

What is the inequality?

1. For School A, the inequality representing the number of stuffed bears they must sell to reach their goal is:

500 + 10x ≥ 3000

10x ≥ 2500

x ≥ 250

Where:

x = number of stuffed bears they must sell.

For School B, the inequality representing the number of stuffed monkeys they must sell to reach their goal is:

1250 + 7.5x ≥ 3000

7.5x ≥ 1750

x ≥ 233.33

Where:

x= number of stuffed monkeys they must sell.

2. To compare the minimum number of stuffed animals each school must sell, we round up the number of stuffed animals for School B to the nearest whole number:

x ≥ 234 for School B

Since 234 > 250, School B must sell more stuffed animals to reach their goal of $3,000.

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Convert 8400 kilograms into tons. Round your answer to the nearest hundredth. What are strengths and weaknesses in personality? Who is the shapeshifter in the movie Troy? At what position(s) will electrophilic aromatic substitution occur for the following compound?bromobenzene What are the primary secondary and tertiary structure of protein? What is the value of 186 lb in kg 4. Suppose you draw four balls from a bag containing seven pink, four white, three yellow, and two stripped balls. What is the probability of drawing 1 pink, 2 yellow and, stripped ball in succession without replacing the ball each time?5. If a pair of dice is rolled, what is the probability that we roll a total of five if we are given that the total is less than nine? 6. Suppose a card is chosen at random from a deck of cards, replaced, and a second card is chosen. What is the probability that both cards are 7s?7. It cost $1 to play a game in which two dice are rolled. If both dice show the same number you win $5; otherwise, you lose. What is the expected value of this game? What is the ICD-10 code for walking difficulty? with the explosive growth and diffusion of the face of digital marketing has changed quite dramatically throughout the world. question 27 options: a. language translators b. mobile/cellular phones c. internet cafes d. electricity sources How do you change the header on the first page in pages? A tower made of wooden blocks measures114 feet high. Then a block is added that increases the height of the tower by 8 inches.What is the final height of the block tower? I will mark you brainiest!The purpose of a persuasive essay is to:A) give evidence that supports a specific position on an issue.B) explain both sides of an issue.C) All of the choices are correct.D) take a side on an important issue.E) make readers agree with a certain point of view on an issue. What is the ICD-10 code Type 2 diabetes? Find, using the method of volumes by SLICES, the volume of a pyramid of height h with an equilateral triangle base with side a. A successful lawyer ownsthree vintage cars. The ratio of car is value to 1's value is 3:4. The ratio of car 2's value tocar 3's is 8:5. d the total value of three cars is $1115900, fins the value of each car Calculate the following quantity: volume in liters of 0.143 manganese (II) sulfate that contains 73.0g of solute. What stylistic changes would Douglass have to implement to make the speech appropriatefor the modern audience? Rewrite the first paragraph to make it appeal to thecontemporary audience, paying close attention to diction choices and cultural elements.ST. When the results of an experiment are consistent with a prediction developed from a theory we conclude that the theory is? On May 31, the following data were accumulated to assist the accountant in preparing the adjusting entries for Oceanside Realty:a. Fees accrued but unbilled at May 31 are $19,750.b. The supplies account balance on May 31 is $12,300. The supplies on hand at May 31 are $4,150.c. Wages accrued but not paid at May 31 are $2,700.d. The unearned rent account balance at May 31 is $9,000, representing the receipt of an advance payment on May 1 of three months rent from tenants.e. Depreciation of office equipment is $3,200.Required:1. Journalize the adjusting entries required at May 31. Refer to the Chart of Accounts for exact wording of account titles.2. What is the difference between adjusting entries and correcting entries? The displacement (in meters) of a particle moving in a straight line is given by the equation of motions = 4/t2, where t is measured in seconds. Find the velocity of the particle at times t = a, t = 1, t = 2, and t = 3(a) Find the average velocity during each time period. (i) [1, 2] cm/s (ii) [1, 1.1] cm/s(b) Estimate the instantaneous velocity of the particle when t = 1. cm/s