How do I label these two nets? (Thanks)

The object fell from a height of approximately 7.057 meters above the ground.


We can solve this problem using the equations of motion for a freely falling object. The equation we’ll use is:
H = (1/2) * g * t^2
Where h is the initial height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken to travel the last distance. Rearranging the equation, we get:

H = (24.0 m) + (1/2) * (9.8 m/s^2) * (1.20 s)^2
Calculating this expression, we find that h is approximately 7.057 meters. Therefore, the object fell from a height of approximately 7.057 meters above the ground.

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The parametric equations \(x = 6 cos θ\)and\(y = 3 sin θ\) trace out the ellipse \(2x^2 + y^2 = 36\).

To find the parametric equation for the curve \(2x^2 + y^2 = 36\)., we can use the following steps:

1. Choose a parameter, say t.
2. Express x and y in terms of t using symbolic notation and fractions where needed.
3. Substitute the expressions for x and y into the equation \(2x^2 + y^2 = 36\) to verify that the curve is traced out by the parametric equations.

One possible choice for the parameter is t = θ, where θ is the angle measured from the positive x-axis to the point (x, y) on the curve. Using this approach, we can write:
\(x = 6 cos θ\\y = 3 sin θ\)

To verify that these equations trace out the curve \(2x^2 + y^2 = 36\)., we substitute the expressions for x and y into the equation:
\(2(6 cos θ)^2 + (3 sin θ)^2 = 36\)

Simplifying this expression using trigonometric identities, we get:
\(72 cos^2 θ + 9 sin^2 θ = 36\)

Dividing both sides by 9 and using the identity \(cos^2 θ + sin^2 θ = 1\), we obtain:
\(8 cos^2 θ + sin^2 θ = 4\)

Multiplying both sides by 8 and using the identity \(cos 2θ = 2 cos^2 θ - 1\)and\(sin 2θ = 2 sin θ cos θ\), we get:
\(cos 2θ = -3/4\\sin 2θ = ±\sqrt{7}/4\)

These equations represent a curve that has two branches, one in the first and fourth quadrants and the other in the second and third quadrants. Therefore, the parametric equations\(x = 6 cos θ\) and \(y = 3 sin θ\) trace out the ellipse\(2x^2 + y^2 = 36\).

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Distance of 125 feet covered in 5 seconds, so the speed is 25 feet/second.

Any object's distance traveled in a unit of time is referred to as speed.

In mathematical term, Speed is express as S = D/T,

where S=speed, D=distance, T= time.

Given that,

The distance = 125 feet.

The time taken to cover the distance = 5 seconds.

To find the unit rate.

Apply formula,

speed = distance / time

          = 125 / 5

          = 25 feet / second

The required speed is 25 feet / second.

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The probability of spinning a multiple of 2 and a multiple of 3 is 1/4.

To be a multiple of 2 and a multiple of 3, a number must be a multiple of 6.

There are two multiples of 6 among the numbers 1 to 8: 6 and 8.

So the probability of spinning a multiple of 2 and a multiple of 3 is the probability of spinning a 6 or an 8, which is:

P(6 or 8) = P(6) + P(8)

Since there are 8 equally likely outcomes, each with probability 1/8, we have:

P(6 or 8) = P(6) + P(8) = 1/8 + 1/8 = 1/4

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Answer:

209.3

Step-by-step explanation:

V=πr^2h / 3

 = 3.14 x 25 x 8 /3

  = 209.3

Answer:

70m3

Step-by-step explanation:

5:2

The 2 represents the smaller cylinder. The smaller cylinder=28

To find out how much 1 is we can divide 28 by 2 and that =14. So in the ratio 1=14 and as seen on the left side we have 5    1's. So 14 times 5= 70

Have a nice day :-)

Answer:18

Step-by-step explanation: pretty much 6 plus 6 plus 6 you add six 3 times.

Don't know the answer sorry

Answer:

1.5

Step-by-step explanation:

a. The bank can initially lend out $15.00.

b. The money in the economy changes by $20.00.

c. The money multiplier is 4.

d. Eventually, $80.00 will be created by the banking system from Jon's $20.00.

Let us analyze each section separately:

a. To calculate the amount of money the bank can initially lend out, we need to determine the bank's reserves.

Given that the bank keeps 25% of its money in reserves, we can find the reserves by multiplying the deposit amount by 0.25.

In this case, the deposit amount is $20.00, so the reserves would be $20.00 * 0.25 = $5.00. The remaining amount, $20.00 - $5.00 = $15.00, is the money that the bank can initially lend out.

b. When Jon deposits the $20.00 bill into the bank, the money in the economy remains unchanged because the physical currency is converted into a bank deposit. Therefore, there is no change in the total money supply in the economy.

c. The money multiplier determines the overall increase in the money supply as a result of fractional reserve banking. In this case, the reserve requirement is 25%, which means that the bank can lend out 75% of the deposited amount.

The formula to calculate the money multiplier is 1 / reserve requirement. Substituting the value, we get 1 / 0.25 = 4.

Therefore, the money multiplier is 4.

d. To calculate the amount of money created by the banking system, we multiply the initial deposit by the money multiplier. In this case, Jon's initial deposit is $20.00, and the money multiplier is 4.

So, $20.00 * 4 = $80.00 will be created by the banking system from Jon's $20.00 deposit.

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Given,t²y" + 5y' + (3 + t)y = 0 Let y₁ and y₂ be linearly independent solutions of the above ODE.W(y₁, y₂)(1) = 5, find W(y₁, y2)(4).

Round your answer to two decimal places. Now let's first find the Wronskian of y₁ and y₂,W(y₁, y₂) =

|y₁  y₂|      |y₁'  y₂' |W(y₁, y₂) = y₁y₂' - y₂y₁'

Now, differentiating the given ODE,

t²y" + 5y' + (3 + t)y = 0=> 2t y" + t²y"'+ 5y' + (3 + t)y' = 0=> y" = (-5y' - (3+t)y')/(t²+2t)=> y" = (-5y' - 3y' - ty')/(t(t+2))=> y" = (-8y' - ty')/(t(t+2))

Let's now solve the ODE:Putting y=

et ,y' = et + et²y" = 2et + 2et² + et + et²t²y" + 5y' + (3 + t)y = 0=> 2et + 2et² + et + et² * t² + 5et + 5et² + (3 + t)et= 0=> et * (2 + 5 + 3 + t) + et² * (2 + t² + 5) = 0=> et * (t + 10) + et² * (t² + 7) = 0=> y = c₁e^(-t/2) * e^(-5/2t²) + c₂e^(-t/2) * e^(7/2t²)

By using the formula,

W(y₁, y₂)(4) = W(y₁, y₂)(1) * e^(integral of (3+t)dt from 1 to 4)=> W(y₁, y₂)(4) = 5 * e^(integral of (3+t)dt from 1 to 4)=> W(y₁, y₂)(4) = 5 * e^12=> W(y₁, y₂)(4) = 162754.79 ≈ i.

Thus, W(y₁, y₂)(4) is i.

The value of W(y₁, y₂)(4) is i.

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The difference between the square of the sum and the sum of the squares of the first one hundred natural numbers is 25,164,150.

To find the difference between the square of the sum and the sum of the squares of the first one hundred natural numbers, we can follow these steps:

Calculate the sum of the first one hundred natural numbers.

The sum of the first n natural numbers can be calculated using the formula:

Sum = (n * (n + 1)) / 2

For n = 100, we have:

Sum = (100 * (100 + 1)) / 2

Sum = (100 * 101) / 2

Sum = 5050

So, the sum of the first one hundred natural numbers is 5050.

Calculate the sum of the squares of the first one hundred natural numbers. To find the sum of the squares of the first n natural numbers, we use the formula:

Sum of Squares = (n * (n + 1) * (2n + 1)) / 6

For n = 100, we have:

Sum of Squares = (100 * (100 + 1) * (2 * 100 + 1)) / 6

Sum of Squares = (100 * 101 * 201) / 6

Sum of Squares = 338350

So, the sum of the squares of the first one hundred natural numbers is 338350.

Calculate the difference between the square of the sum and the sum of the squares.

Difference = (Sum)^2 - Sum of Squares

Difference = 5050^2 - 338350

Difference = 25502500 - 338350

Difference = 25164150

Therefore, the difference between the square of the sum and the sum of the squares of the first one hundred natural numbers is 25,164,150.

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The system of equations:

3x + y = 4

2y = -6x + 8

Has infinite solutions.

We have the equation:

3x + y = 4

Now we want to find an equation of a line such that if we make a system of equations, the system will have infinite solutions.

The system of equations will have infinite solutions only if both equations represent the same line, then we can rewrite our line like

3x + y = 4

If we multiply both sides by 2

2*(3x + y) = 2*4

6x + 2y = 8

And we can move some terms to get:

2y = -6x + 8

Then the system:

3x + y = 4

2y = -6x + 8

Has infinite solutions.

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Answer:

hold on might have to ask my teacher

Step-by-step explanation:

Answer:

C. 19.5

Step-by-step explanation:

Answer:

parallelogram

Step-by-step explanation:

the answer is all in your head

The quadratic equation is:

To find if the number of solutions, we use the discriminant of the equation. But first, we compare the given equation with the general quadratic equation:

By comparison, we find the values of a, b, and c:

Now, as we said previously, we have to use the discriminant to find the number of solutions. The discriminant is defined as follows:

• If the value of D results to be equal to 0, there will be 1 real solution.

• If the value of D results to be greater than 0, there will be 2 real solutions.

• And if the value of D results to be less than 0, there will be no real solutions.

We substitute a, b and c into the discriminant formula:

Solving the operations:

As we can see, the value of D is less than 0 (D<0) which indicates that there will be no real solutions for this quadratic equation.

Answer: No real solutions

Answer:

h = \(\sqrt{55}\) in

Step-by-step explanation:

A right triangle is formed by h, slant height and radius

Here the legs are h and 6 ÷ 2 = 3, hypotenuse is 8

Using Pythagoras' identity in the right triangle

h² + 3² = 8²

h² + 9 = 64 ( subtract 9 from both sides )

h² = 55 ( take the square root of both sides )

h = \(\sqrt{55}\) in

Answer:

Step-by-step explanation:

Answer:they are solved in a different manner

Step-by-step explanation:

Step-by-step explanation:

slope:

In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: . This simple equation is called the slope formula.

common ratio:

The constant factor between consecutive terms of a geometric sequence is called the common ratio.

Example: To find the common ratio , find the ratio between a term and the term preceding it. r=42=2. 2 is the common ratio.

Answer:

The answer is "25 ml".

Step-by-step explanation:

Dose\(= 500 \ mg\\\\\)

Solution \(= 100\ \frac{mg}{teaspoonful}\\\\\)

Calculating the Conversions:

Teaspoonful \(= 5 \ ml \ \text{(Ounce = 30 ml = 6 Tablespoonsful)}\)

\(\therefore\\\\Solution = \frac{100\ mg}{ 5\ ml} = 20\ \frac{mg}{ml}\\\\Dose \ volume = \frac{500\ mg}{ 20\ \frac{mg}{ml}} = 25\ ml\)

Answer:

3 days

Step-by-step explanation:

20 day x 300 dollar ＝6000 dollars

6000 dollar - 5910 dollar ＝90 dollar

Can be fined 80 dollar because 20 is even number

So,days can be fined:

60 dollar divide 20 dollar ＝3 days

Answer:

39.6 ft.

Step-by-step explanation:

Height of the top of the goal post would be x + 5.5

So for we need to calculate x first,

For x:

\(tan\ \theta = \frac{perpendicular}{base}\\\\tan\ 61=\frac{x}{20}\\\\20*tan61=x\\\\x=20*1.732\\\\x=34.64\ ft\)

So height of the top of the goal post would be 34.64 + 5.5 which is

39.64 ft. rounding it to nearest tenth would be 39.6ft.

I attached an image too as well check it out.

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The required expression will be :

Rounded to 1 decimal place, the wholesaler's in-stock probability during a normal week is approximately 89.2%.

To calculate the wholesaler's in-stock probability during a normal week, we need to consider the number of items that are available for the entire week and divide it by the total demand.

Total demand = 4,800 items

Items not available for the entire week = 250 items

Items available for only part of the week = 270 items

Therefore, the number of items available for the entire week can be calculated as follows:

Items available for the entire week = Total demand - Items not available for the entire week - Items available for only part of the week

                                = 4,800 - 250 - 270

                                = 4,280 items

The in-stock probability can be calculated by dividing the number of items available for the entire week by the total demand and then multiplying by 100 to convert it to a percentage:

In-stock probability = (Items available for the entire week / Total demand) * 100

                   = (4,280 / 4,800) * 100

                   = 89.1666...

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The coordinates of point D in the parallelogram ABCD are (15, 10).

To find the coordinates of point D, we can use the properties of a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Therefore, we can use this information to determine the coordinates of point D.

Let's consider the given points:

A(-3, 5)

B(7, 12)

C(5, 3)

Since opposite sides of a parallelogram are parallel, the vector connecting points A and B should be equal to the vector connecting points C and D. We can express this as:

AB = CD

To find the vector AB, we subtract the coordinates of point A from the coordinates of point B:

AB = (7 - (-3), 12 - 5)

= (10, 7)

Now, we can express the vector CD using the coordinates of point C and the vector AB:

CD = (5, 3) + (10, 7)

= (15, 10)

Therefore, the coordinates of point D are (15, 10).

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Answer: -2

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

(10)^2 - (6)^2 = 64

Square root 64 = 8

To find the mean and standard deviation for the given probability distribution, follow these steps:

Mean = 1.93
Standard Deviation = 1.201

1. Calculate the mean (µ): Multiply each value of x by its corresponding probability p(x), and then sum the results.
Mean (µ) = (0 × 0.32) + (1 × 0.06) + (2 × 0.27) + (3 × 0.18) + (4 × 0.17) = 0 + 0.06 + 0.54 + 0.54 + 0.68 = 1.82

2. Calculate the variance (σ²): Multiply each squared deviation from the mean (x - µ)² by its corresponding probability p(x), and then sum the results.
Variance (σ²) = (0 - 1.82)² × 0.32 + (1 - 1.82)² × 0.06 + (2 - 1.82)² × 0.27 + (3 - 1.82)² × 0.18 + (4 - 1.82)² × 0.17 = 1.0796

3. Calculate the standard deviation (σ): Take the square root of the variance.
Standard Deviation (σ) = √1.0796 ≈ 1.039 (rounded to three decimal places)

So, the mean is 1.82 and the standard deviation is approximately 1.039.

Mean = 1.82
Standard Deviation = 1.039

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The solution set of the inequalities can be identified by investigating the coefficient of x^2

The graph of a parabola is represented by a curve as used in the graphs attached in the equation

Parabolic graphs are also called graph of quadratic equation

The equation is usually in this form

y = ax^2 + bx + c

when it is "y =" it is a vertical parabola the graph will either opens up or down

The coefficient  of "x^2" which is "a" says if the curve opens upwards or downwards. when a is:

y > x^2 - 1 "a" is positive hence opens upwards

y ≤ -x^2 + 4  "a" is negative hence opens downwards

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