Paul won 37 super bouncy balls playing hoops at county fair. At school he gave two to every student in his math class. He only had 3 remaining. How many students are in his class?

The solution of the equation y = (2/3)x + 3 is 5/3

The given equation is

y = (2/3)x + 3

The slope of the line is the change in y coordinates with respect to the change in x coordinates.

This is the linear equation in the the slope intercept form

y = mx + b

Where m is the slope of the line

b is the y intercept

y is the y coordinates

x is the x coordinates

The value of x = -2

Substitute the value of x in the equation

y = (2/3) × -2 + 3

Do the arithmetic operations

= -4/3 + 3

Add the numbers

= 5/3

Therefore, the solution is 5/3

I have solved the question in general, as the given question is incomplete

The complete question is:

What is the solution of the equation y = (2/3)x + 3x, when x = -2?

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The company needs to sell 1.5 units of merchandise to make the maximum profit that implies 300.

What is profit ?

Profit is the financial gain that a business or an individual derives from a transaction or business activity, after deducting all costs and expenses. It is the difference between the amount earned and the amount spent to produce, sell, or provide goods or services. Profit is an important measure of business success and is used to evaluate the performance of a company, as well as to attract investors and secure financing.


According to the question:
To find the number of units of merchandise the company needs to sell to make the maximum profit, we need to locate the vertex of the parabola. Since the parabola opens downward, the vertex represents the maximum point on the graph.

From the graph, we can see that the vertex is located at (1.5, 7.5). This means that the company will make the maximum profit by selling 1.5 units of merchandise.

Therefore, the company needs to sell 1.5 units of merchandise to make the maximum profit.

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The derivative of the function y = x sinh(x/3) - (9 + x²) is ln((x + √(x² + 9))/3) + (x/(3√(x² + 9))) - 2x.

To find the derivative of y = x sinh⁻¹(x/3) - (9 + x²), we will use the chain rule and the power rule of differentiation.

First, we can simplify the expression by using the identity sinh⁻¹(x) = ln(x + √(x² + 1)), so we have:

y = x ln(x/3 + √((x/3)² + 1)) - (9 + x²)

Now we can differentiate term by term, using the chain rule for the first term:

y' = ln(x/3 + √((x/3)² + 1)) + x(1/(x/3 + √((x/3)² + 1))) (1/3) - 2x

Simplifying the first term and combining like terms in the second term, we get:

y' = ln((x + √(x² + 9))/3) + (x/(3√(x² + 9))) - 2x

This is the final answer for the derivative of y.

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The question is -

Find the derivative of the function y = x sinh(x/3) - (9 + x²).

The volume of the pot is = 731.2 cubic inches.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured.

The space occupied within an object's borders in three dimensions is referred to as its volume.

It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

Since the forms of various three-dimensional objects vary, so do their volumes.

According to our answer-

volume of a pot is = πr²h + 2πr³

22/7 * 698/3

731.2 cubic inches

Hence, The volume of the pot is = 731.2 cubic inches.

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Answer:

Below:

Step-by-step explanation:

1. 2 15/28  

2. 2 7/10  

3. 5/6

4. 1  5/12

5. 2 1/12

Answer:

12,000

Step-by-step explanation:

Since we're just estimating, we can just round the two numbers.

180 rounded to the nearest hundred is 200.

586 rounded to the nearest hundred is 600.

200 * 600 = 12,000

Therefore, 180 * 586 is roughly 12,000.

For the given equation which shows the relation of temperature in Celsius and Fahrenheit, the correct option is Option D.

What is meant by temperature?

Indicating the direction in which heat energy will naturally flow from a hotter body (one with a higher temperature) to a colder body(one at a lower temperature), the temperature is a measure of hotness or coldness defined in terms of any of several arbitrary scales.

The given equation is:

\(C = \frac{5}{9} (F- 32)\)

where C = temperature in Celsius

          F = temperature in Fahrenheit

The above equation can be rewritten as:

C = 5/9F - 160/9

Now, this is an equation of a straight line with a formula,

y = mx + c

Comparing,

m = 5/9 which is the slope of the equation.

This means that for a temperature increase of 1 degree Fahrenheit, the equivalent increase in temperature in Celsius is 5/9.

So the option I is true.

Similarly, an increase in 1 degree Celsius of temperature is equivalent to 9/5 = 1.8 degree increase in Fahrenheit.

So option II is true.

Option III is not true as is discussed above.

Therefore for the given equation of temperature, the correct option is Option D.

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Answer:

D

Step-by-step explanation:

I have nothing else to say- lol

Answer:

A

Step-by-step explanation:

Answer:

I think the area is 12 units.

Step-by-step explanation:

Anyone correct me if I'm wrong!

So, I started with 6 times 2 is 12 but since it's a triangle, you have to divide it by 2 . Cause if you cut a square or rectangle, it will become a triangle.

So, 6 for half of the rectangle.

Then in the middle it's a square so 2 times 2= 4.

That square is 4.

Last one would be half a square, so 2 times 2= 4. Divide it in half, you get 2.

That part is 2.

Then I think you have to add all of them, 6+4+2=12

So  I think it's 12 units??

Answer:

There are 3 shapes in the figure.

1 scalene triangle

1 equilateral triangle

1 square

the formula to find the area of a triangle is 1/2 x base x height:

Area of scalene triangle: 1/2 x 6 x 2 = 6 units^2

Area of equilateral triangle: 1/2 x 2 x 2 = 2 units ^2

Area of square: (base x height)

Area of square: 2 x 2 = 4 units^2

Then add up all the areas:

6 units^2 + 2 units^2 + 4 units^2 = 12 units^2

So the area of the entire figure is 12 square units.

pls mark brainliest if this helped :)

i) Probability of drawing a king, a queen, and a jack from a pack of 52 playing cards is given by;$$\frac{4}{52}\cdot\frac{4}{51}\cdot\frac{4}{50}$$$$=\frac{4\times4\times4}{52\times51\times50}$$$$=\frac{2}{5525}$$

ii) Probability of drawing 2 queens and 1 jack is given by;$$\frac{4}{52}\cdot\frac{3}{51}\cdot\frac{4}{50}$$$$=\frac{4\times3\times4}{52\times51\times50}$$$$=\frac{2}{5525}$$

Hence, the probability that the cards drawn are 2 queens and 1 jack is $\frac{2}{5525}$.

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The density of blue jays in the 20-hectare plot is 15 blue jays per hectare.

To calculate the density of blue jays per hectare in a 20-hectare plot with 300 blue jays, follow these steps:

1. Identify the number of blue jays (300) and the area of the plot in hectares (20 hectares).
2. Divide the number of blue jays by the area of the plot in hectares.

So, the calculation is: 300 blue jays ÷ 20 hectares = 15 blue jays/hectare

Therefore, the density of blue jays in the 20-hectare plot is 15 blue jays per hectare.

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The formula (11) for the Green's function g(x,0) with its second argument at the center of the sphere. To do this, we'll follow these steps:

1. Recall the Green's function for the Laplacian in three dimensions:
g(x,y) = -(1/4π) * (1/|x-y|)

2. For our case, we want to find g(x,0) where the second argument is at the center of the sphere. This means that y = 0.

3. Substitute y = 0 in the Green's function:
g(x,0) = -(1/4π) * (1/|x-0|) = -(1/4π) * (1/|x|)

4. Now, we have the Green's function g(x,0) as a function of x with the second argument at the center of the sphere:
g(x,0) = -(1/4π) * (1/|x|)

This verifies formula (11) for the Green's function with its second argument at the center of the sphere. In this form, the Green's function represents the potential due to a point charge located at the origin, and its magnitude is inversely proportional to the distance from the charge.

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Answer:

600

Step-by-step explanation:

.....,....,..........

Answer:

6,700 because 6 is in the hundreds place and 6 is more then 5 so u go up and since it's to hundreds the answer is 6,700

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

These are the tests for similar triangles:

AA - if 2 pairs of corresponding angles are equal.  

SSS - if corresponding sides have the same ratio.

SAS - if 2 pairs of corresponding sides have the same ratio and the included angles are equal.

This diagram does not indicate any of these relationships exist.

Therefore the triangles are not similar.

Answer:

teeheee

Step-by-step explanation:

Answer:

t e e h e e

Step-by-step explanation:

The triangle is given which is the right triangle.

To determine the third side, apply the Pythagoras theorem.

Let the third side be x.

The length of third side is 4.89.

the variable is categorical in nature and the values of the variable cannot be arranged in a ranked or specific order.

In this context, the variable is used to assign names or labels to different categories or groups, rather than representing quantitative measurements or values. The purpose of the variable is to classify or categorize the data into distinct groups or categories based on certain criteria or characteristics. The values assigned to the variable represent different labels or names for these categories, but they do not have a specific numerical order or ranking associated with them.

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Answer:

An adjacent angle and the included side.

Step-by-step explanation:

The ASA Triangle Congruence Theorem states that 2 triangles are congruent if 2 corresponding angles and the included have the same measure. That means that you need the angle next to the angle already given and the side that is in between the two angles to prove that the triangles are congruent.

Answer:

28.095 cm^2

Explanation:

To determine the area of the given shape, we have to determine the area of the complete rectangle, then subtract the areas of each of the cut-out semi-circles as seen below;

From the shape, let's determine the length and width of the rectangle;

Length(l) = 2 cm + 5 cm + 2 cm = 9 cm

Width(w) = 1 cm + 4 cm + 1 cm = 6 cm

So the area of the complete rectangle will be;

Let's now determine the area of the top semi-circle given that the radius is 2cm (radius = diameter/2 = 4/2 = 2cm);

Given that the two semi-circles by the side of the rectangle have the same radius(r) which is 2.5cm (r = diameter/2 = 5/2 = 2.5cm), let's go ahead and determine their area;

So the area of the shape will be;

Therefore, the area of the shape is 28.095 cm^2

Answer:

(3, 6)

Step-by-step explanation:

Opposite of neg3 and 6, which is 3 and 6.

Answer:

yes, they keep increasing by 2.

Answer:

Yes,

Step-by-step explanation:

The pattern does follow the plus 2 ratio.

Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

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Answer:

y=115x+65

Step-by-step explanation:

He earns $115 per game shows that after getting a signing bonus, that is a constant amount he earn for each game. The slope is 115.

The y-intercept is 65 because after signing, he earns $65 for free.

Hope I helped! Good Luck!

Answer:

95m

Step-by-step explanation:

Formula:p=2(l+w)

360m=2(l+85m)

360m=2l+170m

360m-170m=2l

190m/2=2l/2

L=95m

Answer:

D

Step-by-step explanation:

-27 (-3) - 9

Multiply the - 3 with the - 9

-27 +27

= 0

Answer:

Your last choice is the correct answer.

Step-by-step explanation:

1 do the division. -27/(-3)= 9

2 do the subtraction. 9-9=0

Therefore your answer is -27÷(-3)-9

HOPE THIS HELPS!

Answer:

38

Step-by-step explanation:

Just substitute it. The equation becomes

70 - 4(8)

70 - 32 = 38

Answer:

38

Step-by-step explanation:

70 - 4a =

70 - 4*8=

70 - 32= 38

The base 10 representatiοn οf the number 1406 (3 at the bοttοm) is 118.

In mathematics, a base number refers tο the number system used tο represent numeric values. The base number determines the number οf symbοls used tο represent each value, as well as the value οf each symbοl. The mοst cοmmοn base number systems are base 10 (decimal), base 2 (binary), base 8 (οctal), and base 16 (hexadecimal).

In base 10, we use 10 digits (0-9) tο represent all pοssible values. In binary, we use οnly twο digits (0 and 1) tο represent values. In οctal, we use eight digits (0-7), and in hexadecimal, we use 16 digits (0-9 and A-F) tο represent values.

Fοr example, the decimal number 125 can be represented in base 2 as 1111101, in base 8 as 175, and in base 16 as 7D.

Cοnverting a number frοm οne base tο anοther invοlves dividing the number by the base and repeatedly finding the remainder until the quοtient becοmes zerο. The remainders, read frοm bοttοm tο tοp, represent the digits οf the new number in the new base.

Tο cοnvert a number in base 3 tο base 10, we need tο multiply each digit οf the number by the cοrrespοnding pοwer οf 3, and then sum up the prοducts.

Starting frοm the rightmοst digit οf the number, the pοwers οf 3 increase by 1 fοr each digit tο the left. Sο, fοr the number 1406 (3 at the bοttοm), we have:

1 × 3⁰ + 0 × 3¹ + 4 × 3² + 1 × 3³ = 1 + 0 + 36 + 81 = 118

Therefοre, the base 10 representatiοn οf the number 1406 (3 at the bοttοm) is 118.

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Answer:

C. 69 (nice)

Step-by-step explanation:

Sine: Opposite side over hypotenuse

Cosine: Adjacent side over hypotenuse

Tangent: Opposite side over adjacent side

Respective to angle O, we are given the adjacent side, 5, and the hypotenuse 14, so we can use cosine.

cos(O)=5/14

O=arcsin(5/14)≈69.0752

The answer is 69.