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The height of the water balloon at 15 seconds based on the potential rupturing effect of the balloon's initial gravitational potential energy on the membrane of the balloon upon impact with the ground and that addition forces are not added, is at the ground level or zero feet.

Gravitational potential energy is the energy possessed by a body by virtue of its elevation above ground level.

The points on the path of the water balloon thrown from the building's roof are;

(0, 4), (2, 7), (7, 5), (6, 4), (9, 1), (9.5, 0)

The location of the water balloon, 9.5 seconds after it is thrown off the roof is therefore at the point, h(9.5) = 0 feet, which can be taken as the ground level or base of the building.

According to Newton's third law of motion, which is a physics or natural law, and which states that all bodies remain at rest or continue perpetually in a straight line unless acted upon by a force.

Given that no additional force is specified after the water balloon is thrown from the building, and that a water balloon can be treated as a large drop of water, where the elastic balloon membrane, represents the surface tension holding the large droplet together, we have that the energy of impact of collision of the balloon when it lands, which is obtained from the initial gravitational potential energy of the water balloon, can potentially rupture the membrane, such that the water is spilled and remains on the floor, well after 9.5 seconds, such that at 15 seconds, the height of the balloon remains at ground level.

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The  dividends per share for preferred and common stock for each year is year 1 $20,000, $10,000; year 2 $30,000, $0 year 3 $30,000, $15,000.

Year 1

Preference Shares = Number of shares × Par value ×%

Preference Shares = 10,000 ×100 × 2%

Preference Shares = $20,000

Common Shareholders:

Common Shareholders = $20,000 - $10,000

Common Shareholders = $10,000

Year 2

Preference Shares = $30,000

Common Shareholders = $0

Year 3

Preference Shares = $20,000 + ($20,000 - $10,000)

Preference Shares = $20,000 + $10,000

Preference Shares = $30,000

Common Shareholders:

Common Shareholders = $45,000 - $30,000

Common Shareholders = $15,000

Therefore year 1 has the amount of $20,000 as preferred stock and $10,000 as common stock.

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In the equation y = 3x + 2, the expression f(x) would replace which part of the equation.

Answer: y will be replaced by the expression f(x).

Answer:

10,600 Canadian dollars

Step-by-step explanation:

[tex] \frac{1.06}{1} = \frac{x}{10000} [/tex]

[tex]x = 10000(1.06) = 10600[/tex]

In order to find the correlation coefficient r, we can use the formula:

where the sum must be taken upon all 7 values of x and y.

So, let's find each term and then use them in the formula:

Now, we need to use them in the formula to find r:

Finally, round the answer to the 3 decimal places, we find

r = 0.971

According to the solving the Probability of the event below is as:

 = 0.8333

Probability is the possibility that an event will occur given all the potential outcomes. A decision-maker considers the likelihood of a result to be important. Decisions will be made better as potential outcomes are better understood.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures as well as the risk of health impacts are related.

The probability of rolling a number less than 6.

There are six sides to the die with numbers on each side of (1, 2, 3, 4, 5, 6)

There is a total of six numbers and five ae below six in value.

So,

P(X < 6) = 5/6

             = 0.8333

According to the solving the Probability of the event below is as:

 = 0.8333

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Answer:

The total number of employees the company have is;

Explanation:

Given that an international company has 29,200 employees in one country.

If this represents 31.7% of the company's employees.

let n represent the total number of employees the company have;

Solving for n;

Therefore, the total number of employees the company have is;

We will solve as follows:

*We have the equations:

&

We solve then for the second equation [Either for A or B], that is:

Now, we replace in the first equation and solve for B:

Now, we replace the value of B in the second equation:

So, the investor has 80 shares on stock A and 120 shares on stock B.

Answer:here x=-4

Step-by-step explanation:

3(-4)-3=-15

Answer:

1)D and 2)A

Step-by-step explanation:

1) D

When you dived B by 4 on both sides , you get A

2) A

:]

Step-by-step explanation:

the slope-intercept form is

y = ax + b

a is the slope, b is the y- intercept (the y-value when x = 0).

so, the equation is

y = -5/4 x + 3

- Tan²θ is the left side expression as the difference of two squares in trigonometric ratios.

What do trigonometric ratios represent?

(sec θ+1)(sec θ-1)= tan² θ

use ( a+ b ) ( a - b) = a² - b²

= 1² - sec²θ                                   { we know that 1 + tan²θ = sec²θ}

= 1 - sec²θ

= - tan²θ

     LHS = RHS

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Given that 3/4x = 2

Answer: It is 10000 times larger

Answer:

I'm pretty sure it's 1800!!

She spends the cost of $0.46 if she purchases the items in the city where she lives.

The percentage is defined as a ratio expressed as a fraction of 100.

The given data  below as:

Cost of the shirt = $11.99

Cost of the shoes = $35.50

Cost of the belt = $6.75

Cost of the socks = $3.00

Total cost of the items = 11.99 + 35.50 + 6.75 + 3.00

Total cost of the items = $57.24

In the city she lives in, the sales tax rate is 7.15%.

Total cost of the items with tax of 7.15%

= 57.24 × 7.15/100 + 57.24 = 4.092 + 57.24 = $61.33

In another city, the sales tax rate is 6.35%

Total cost of the items with tax of 6.35%

= 57.24 × 6.35/100 + 57.24 = 3.633+ 57.24 = $60.87

Hence, she spends the cost of $0.46 if she purchases the items in the city where she lives.

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Answer:

perimeter = 2(b x L)

p° 2(2+20)

= 22X2 =44cm

area = B x W

a = 20x 2 =40 cm²

Answer:

Percent means parts per hundred.

Step-by-step explanation:

Percent comes from the Latin phrase per centum which means per hundred. The % symbol is used to represent percent.

Example: 54/100 is equal to 54%.

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By using a calculator,

ln 0.0746 = - 2.596

The measure of the given polygon's angle is 2340°

Polygons are two-dimensional closed objects in geometrical mathematics where n number of line segments cross each other to generate n number of vertices. A triangle is a polygon with three sides, for instance.

In an n-sided polygon, there are n inner angles.

The total of all interior angle measurements in a polygon is always constant and is denoted by the notation "n" for the number of sides in the polygon.

the formula is ;

Sₙ = ( n - 2 ) 180°

Here in question n is given as 15

Thus Sₙ = ( n - 2 ) 180° becomes

Sₙ = ( 15 - 2) 180

13 × 180

= 2340 °

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Answer:

Explanation:

Here, we want to get the mean utilit bill over the period

Mathematically, that means we have to find the average of his utility bills in that period

To get this,we have to divide the sum of all these values by the count of these values (5)

Mathematically, we have this as:

The inequality is x > -3

The second choice is the correct answer.

The equivalent expression to 8(t+8) is 8t+64 and the equivalent expression to 8t+8 is 4(2t+2) and 4t+8+4t.

The given expressions are 8(t+8) and 8t+8.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Now, 8(t+8)

Using distributive property a(b+c)=ab+ac, simplify 8(t+8)

That is, 8t+64

Take common factor in 8t+8 is 4(2t+2) and 8t+8=4t+8+4t

Therefore, the equivalent expression to 8(t+8) is 8t+64 and the equivalent expression to 8t+8 is 4(2t+2) and 4t+8+4t.

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The coordinates of the vertices after the image is rotated about origin will be -

F(1, 2) → F'(-1, -2)

G(3, 5) → G'(-3, -5)

H(3, 2) → H'(-3, -2)

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

Given are the vertices of a figure as → F(1, 2), G(3,5) and H(3, 2).

Since, it is not given in which direction the figure is rotated, we will consider it to be rotated in anti - clockwise direction about the origin. When we rotate a coordinate point by 180 degrees in counterclockwise direction about the origin, then the point A(x ,y) becomes A'(-x ,-y).

The new coordinates will be -

F(1, 2) → F'(-1, -2)

G(3, 5) → G'(-3, -5)

H(3, 2) → H'(-3, -2)

Therefore, the coordinates of the vertices after the image is rotated about origin will be -

F(1, 2) → F'(-1, -2)

G(3, 5) → G'(-3, -5)

H(3, 2) → H'(-3, -2)

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Answer: $19

Step-by-step explanation:

Since we want 30 copies, let x=30.

[tex]C(30)=0.15(30)+14.50=19[/tex]

Answer:

28

Step-by-step explanation:

To evaluate this expression, multiply the two numbers.

-7x-4=28

28 is not negative because a negative times a negative is positive.

Hope this helps! :D

The solution:

The question says Corning planned to make 75,000,000 vials in 2021.

But due to the demand for the vaccine, Corning decided to make d times as many vials.

We are asked to write an expression to find the number of vials Corning will make in 2021.

So, the required expression is:

Therefore, the correct answer is 75000000d vials.

Answer:

x = 5

Step-by-step explanation:

3 + x * 6 = 3 * 11

3 + 6x = 33

6x = 30

x = 5