a = m - n
For the variable m

During halftime of a basketball game, a slingshot launches T-shirts at the crowd.

What is the maximum height?

Generally, To find the time it takes the T-shirt to reach its maximum height, we need to find the time when the height of the T-shirt stops increasing and starts decreasing. At this point, the velocity of the T-shirt will be 0, since it is not moving up or down.

The velocity of the T-shirt at any time t can be found by taking the derivative of the equation for height:

v(t) = dh/dt = -32t + 72

Setting the velocity to 0 and solving for t, we get:

0 = -32t + 72 32t = 72 t = 72/32 t = 9/4

So it takes the T-shirt 9/4 seconds, or approximately 2.25 seconds, to reach its maximum height.

To find the maximum height, we plug this value back into the equation for height:

h(t) = -16(9/4)^2 + 72(9/4) + 4 h(t) = -81 + 162 + 4 h(t) = 77

The maximum height of the T-shirt is 77 feet.

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Answer:

C ) a= 1 and b = 2

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

It equals to

when ab = 0, in other words one of a or b or both should be zero

Looking through the answer options, only one of them:

is the counterexample of the given statement, since none of a or be equals zero.

Answer:

Infinite.

Step-by-step explanation:

\(-17+2(1+3x)=x-5(3-x)\)

Expand:

\(-17+2+6x=x-15+5x\)

\(6x+15=6x+15\)

\(6x=6x\)

\(0=0\)

Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.

Answer:

660 ÷ 0.16 = 4,125

Hope this helps :)

According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

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Answer:

D. SSS theorem

Step-by-step explanation:

The triangles have similarity by 3 sides:

So the answer is SSS

Answer:

11.35

Step-by-step explanation:

13.25

-

1.9

_____________

11.35

The measure of the missing side length x in the right triangle is 1.5.

The figure in the image is a right triangle having one of its interor angle at 90 degree.

From the diagram;

Let angle θ = 30 degree

Opposite angle θ = x

Hypotenuse = 3

To solve for the missing side length x, we use the trigonometric ratio.

Note that: sine = opposite / hypotenuse

Hence:

sin( θ ) = opposite / hypotenuse

Plug in the values:

sin( 30 ) = x / 3

x = sin( 30 ) × 3

x = 1.5

Therefore, the value of x is 1.5.

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Therefore the result of adding the system of equations  2x + y = 4  ,

6=3x-y is 5x =10

Equations are statements in mathematics containing the equals (=) sign flanked on either side by two algebraic expressions. The relationship between the expressions printed on the left and right sides is shown to be equal in this way. In all mathematical equations, LHS = RHS  is used. You can solve equations to find the value of an unknown variable that stands in for an unknown quantity. If a sentence lacks a "equal to" sign, it is not considered an equation. It will be considered to be a phrase.

Here,

Given:

we have to solve the system of equations given. .Each equation is added together to remove the variable Y.

2x + y = 4  

+

3x - y = 6

________

=> 5x =10

Therefore the result of adding the system of equations  2x + y = 4  ,

6=3x-y is 5x =10

The value of x :

x =10 / 5 = 2

⇒ x=2

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Answer:

The first one

Step-by-step explanation:

Answer:

Option A

12 + (-9)

Step-by-step explanation:

8+[4+(-9)]

= 8+[4-9]

8+[-5]

=8-5

=3

12+(-9)= 12-9= 3

so 12+(-9) is the answer

Answer:

x=26°

B. 26°

Step-by-step explanation:

Triangle Sum theorem

75 + 79 + x =180

154 + x =180

x= 26

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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the solutions to the equation \(2x^2 - x - 3 = 0\) are x = 1.5 or x = -0.5.

The square root of 25 can be expressed simply as 5:

x = (1 ± 5) / 4

This provides us with two potential answers:

x = (1 + 5) / 4 = 1.5

or

x = (1 - 5) / 4 = -0.5

The square root of a negative number is not a real number, so this equation does not have a real solution using geometric mean.

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

Based on the provided data set, the fundamental formula to determine the mean is calculated. When calculating the mean, every term in the data set is taken into account. The ratio between the total number of terms and the sum of all the terms provides the general formula for the mean. Hence, we may state;

Mean is equal to the product of the given data and the total amount of data.

from the question:

The following formula can be used to find x using geometric mean:

\(x = \sqrt{(ab)}\)

where a and b are the two numbers whose geometric means we're interested in finding.

The two roots of the quadratic equation \(ax^2 + bx + c = 0\) in standard form can be used here as a and b. Applying the previous solutions, we obtain:

\(x = \sqrt{(1.5 (-0.5)}\)

\(x = \sqrt{(-0.75)}\)

As the square root of a negative number is not a real number, the geometric mean method cannot find a real solution to this problem.

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Here, lots of questions are asking.

The study of shapes, sizes, locations, and qualities of objects in space is referred to as geometry. It covers the examination of points, lines, angles, planes, and solid figures as well as their interrelationships. In areas including architecture, engineering, physics, and computer graphics, among others, geometry is used in real-world settings. It is frequently taught to kids starting at a young age and is a crucial component of mathematics education.

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The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

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The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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Answer:

1

Step-by-step explanation:

To find this, you simply need input points.

The given equation is y=-2/3x +{}. You can plug in the given point, (0,1). This would make the equation 1 = -2/3·0 +{}. To solve this, you simplify the equation. You then get 1 = {}. Hence, The missing number is 1.

Answer: -18

Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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By using trigonometry formula, The height of the hot-air balloon is 3,497.47 ft.

In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied.

Trigonometry has a wide variety of identities. In order to simplify an expression, identify a more practical version of an expression, or solve an equation, trigonometric identities are frequently employed to rewrite trigonometrical expressions.

Given that, the angle of depression from the hot-air balloon to the car is 32°.

the hypotenuse of balloon and car is 6600ft.

from the formula Sin A = height/ hypotenuse

⇒ Sin32° = height / 6600

⇒ height = 6600 * Sin32°

⇒ height = 6600 * 0.5299

⇒ height = 3,497.4671 ft

The height of the hot-air balloon is 3,497.47 ft.

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Given

Explanation

Answer:

Answer:

The third one

Step-by-step explanation:

Answer:

It would be three coconuts hope this helped

Step-by-step explanation:

Answer:

The answer is: 4y(2x+y)

Step-by-step explanation:

Answer:

114 boys

Step-by-step explanation:

This question can be solved using a rule of three.

For each 2 boys, there are 3 girls on the center. So, how many boys will be there when there are 171 girls?

2 boys - 3 girls

x boys - 171 girls

\(3x = 2*171\)

Simplifying both sides by 3

\(x = 2*57 = 114\)

There are 114 boys there

The angle of depression at which Beatrice sees the boat is given as follows:

x = 6.65º.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For the angle, we have that:

Hence the angle is obtained applying the tangent ratio as follows:

tan(x) = 70/600

x = arctan(70/600)

x = 6.65º.

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The angle of depression at which Beatrice sees the boat is given as follows:

x = 6.65º.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For the angle, we have that:

Hence the angle is obtained applying the tangent ratio as follows:

tan(x) = 70/600

x = arctan(70/600)

x = 6.65º.

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Apologies, but your questions seem to have errors and incomplete information.

For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.

For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.

Please provide complete and accurate information for a precise answer.