hey can someone give me the answer to the problem

Hey Can Someone Give Me The Answer To The Problem

Answers

Answer 1

a. The rocket splashes down after 63.94 seconds.

b. The rocket peaks at 7386.68 m

a. How to find when the rocket splashes down?

Since the height of the rocket is h(t) = -4.9t² + 370t + 402, the rocket splashes down when h(t) = 0.

So, h(t) = 0

-4.9t² + 370t + 402 = 0

Using the quadratic formula, we find t.

[tex]t = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]

where a = -4.9, b = 370 and c = 402

So, [tex]t = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}\\= \frac{-307 +/- \sqrt{(307)^{2} - 4(-4.9)(402)} }{2(-4.9)}\\= \frac{-307 +/- \sqrt{94249 + 7879.2} }{-9.8)}\\= \frac{-307 +/- \sqrt{102128.2} }{-9.8)}\\= \frac{-307 +/- 319.58}{-9.8)}\\= \frac{-307 + 319.58}{-9.8)} or \frac{-307 - 319.58}{-9.8)}\\= \frac{12.58}{-9.8)} or \frac{-626.58}{-9.8}\\= -1.28 or 63.94[/tex]

Since t cannot be negative t = 63.94 s

So, the rocket splashes down after 63.94 seconds.

b. How to find the peak of the rocket?

Since h(t) = -4.9t² + 370t + 402, to find the time the rocket reaches it peak, we differentiate h(t) with respect to t and equate to zero.

Soi, dh(t)/dt = d(-4.9t² + 370t + 402)/dt

= -9.8t + 370

dh(t)/dt = 0

-9.8t + 370 = 0

-9.8t = -370

t = -370/-9.8

t = 37.76 s

Substitung t = 37.76 into h(t), we have

h(t) = -4.9t² + 370t + 402

h(37.76) = -4.9(37.76)² + 370(37.76) + 402

h(37.76) = -4.9(1425.82) + 370(37.76) + 402

h(37.76) = -6986.518 + 13971.2 + 402

h(37.76) = 7386.682 m

h(37.76) ≅ 7386.68 m

So, the rocket peaks at 7386.68 m

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Related Questions

The probability of winning on an arcade game is 0. 659. if you play the arcade game 30 times, what is the probability of winning exactly 21 times? round your answer to two decimal places

Answers

The probability of winning exactly 21 times is:-0.32

Given,

The probability of winning on an arcade game, p = 0.659

Number of times you play arcade game, n = 30

By assuming this as a normal distribution, we get

Mean=μ=30×0.659 =19.77

Standard deviation, σ = [tex]\sqrt{np(1-p)}[/tex]

= [tex]\sqrt{30(0.659)(1-0.659)}[/tex]

≈ 2.60

Let X be a binomial variable

Then, the z score for x = 21 will be:

z = (x - μ) / σ = [tex]\frac{21-19.77}{2.60}[/tex]

≈ 0.47

Now, the probability of winning exactly 21 times

P (x ≥ z) = P (21 ≥ 0.47) = 0.32

Hence the probability of winning exactly 21 times is 0.32

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Select the correct choice from the drop down.

Elena drank 3 liters of water yesterday. Jada drank 34 times as much water as Elena. Lin drank twice as much water as Jada.



a. Did Jada drink more or less water than Elena?


(b)
Explain how you know Jada drank more or less water than Elena.

Answers

Using proportions, it is found that Jada drinks more water than Elena, as her proportion is 3/2 of Elena's proportion.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Jada drank 3/4 the amount x that Elena drank, hence:

J = 3x/4.

Lin drank twice as much water as Jada, hence her proportion relative to Elena is given by:

L = 2J = 2 x 3x/4  = 6x/4 = 1.5x.

1.5x = 50% more than Elena.

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Which is the graph of the equation y- 1 = (x − 3)?

Answers

Answer:

the graph is a linear function  

root (2,0) vertical intercept (0,2)

Step-by-step explanation:

a) Solve
4(x-7)= 14
(2)

Answers

Answer:

x=14

Step-by-step explanation:

4(x-7)= 14(2)

4x - 28 = 28

4x = 56

x = 14

if you double the side length of a cube how does it effect the volume

Answers

Step-by-step explanation:

Volume of the cube = Side

Since,

All the sides of the cube are equal

Then if the length of a side of the cube is

increased

So, the side of the cube becomes

Side of the cube = 2 × Side

Assume

Side of the cube be ‘s’

Side of the cube = 2s

Now,

Volume of the cube = 2s × 2s × 2s

Volume of the cube = (2s)

Volume of the cube = 8s

To find how many times the volume of the cube is

increased

The chance of getting a viral infection is 0.0005. out of 10,000 people, about how many of them are expected to get infected?

Answers

The computation shows that the number of people expected to get infected is 5.

How to calculate the value?

It should be noted that the chance of chance of getting a viral infection is 0.0005. out of 10,000 people.

Therefore, the number of people expected to get infected will be:

= 0.0005 × 10000

= 5

The number of people expected to get infected is 5.

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A repeated-measures study comparing two treatments with n = 4 participants produces md = 2 and ss = 75 for the difference scores. what is the estimated standard error for the sample mean difference?

Answers

The estimated standard error for the sample mean difference is  2.5 .

According to the question

A repeated-measures study comparing two treatments

n = 4

MD(mean difference) = 2

SS (sum of square) = 75

Now,

error for the sample  

Formula for standard error

[tex]S^{2} = \frac{SS}{n-1}[/tex]

by substituting the value

[tex]S^{2} = \frac{75}{4-1}[/tex]

[tex]S^{2} = \frac{75}{3}[/tex]

S² = 25

S = 5 (s is never negative)

Standard error of the estimate for the sample mean difference

As

The standard error of the estimate is the estimation of the accuracy of any predictions.

The formula for standard error of the mean difference

standard error of the mean difference  =[tex]\frac{standard\\\ error}{\sqrt{n} }[/tex]  

standard error of the mean difference = [tex]\frac{5}{\sqrt{4} }[/tex]  

standard error of the mean difference = 2.5

Hence, the estimated standard error for the sample mean difference is  2.5 .

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if a sum of money of rs 25000 increaes by 1/10 of itsself every year what time eill it amount to rs 30000?
pls answer correctly and quickly!​

Answers

Answer:

the answer is 1.5/10 cause the 5000 is added to 30000

Help me pls this is very hard for me and plus i gotta turn this in tomorrow

Answers

Answer: [tex]\Large\boxed{x=40^\circ}[/tex]

Step-by-step explanation:

Given information

∡ 1 = 90°

∡ 2 = 50°

∡ 3 = x°

Total Angle = 180° (Triangle angle sum theorem)

Given formula

∡ 1 + ∡ 2 + ∡ 3 = Total Angle

Substitute values into the formula

(90) + (50) + (x) = (180)

Combine like terms

140 + x = 180

Subtract 140 on both sides

140 + x - 140 = 180 - 140

[tex]\Large\boxed{x=40^\circ}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

PLEASE ANSWER QUICKLY

Answers

Answer:

3

Step-by-step explanation:

f(x) = 3x² - 2x + 1

f(x) = ax² + bx + c

a = 3

A coordinate grid with 2 lines. The first line passes through (0, negative 5) and (negative 5, 0). The second line passes through (0, negative 5) and (negative 2, 1).
What is the solution to the system of equations?

Answers

Answer:

(0, -5)

Step-by-step explanation:

The two different lines have point (0, -5) in common, so the solution is (0, -5).

Select the correct answer from each drop-down menu.

A cell phone tower is shown. The edge of the base is 50 feet and the height is 200 feet.


Photograph of a cell phone tower.

What shape best models the object and what is the approximate surface area of that shape?


The best shape for the model is a

.


The approximate surface area is

square feet.

Answers

The best geometric shape for the model is a square pyramid. The approximate surface area is equal to 22,500 square feet.

What is a square pyramid?

A square pyramid can be defined as a type of pyramid that has a square base, four (4) triangular sides, five (5) vertices, and eight (8) edges.

In this context, we can logically deduce that the geometric shape which best models the object (cell phone tower) shown in the image attached above is a square pyramid.

How to calculate surface area of a square pyramid?

Mathematically, the surface area of a square pyramid is given by this formula:

A = a² + 2a√(a²/4 + h²)

Where:

A is the surface area of a square pyramid.a represents the edge of the base.h represents the height.

Given the following parameters:

Edge of the base = 50 feet.

Height = 200 feet.

Substituting the given parameters into the formula, we have;

A = 50² + 2(50)√(50²/4 + 200²)

A = 2,500 + 100√(2500/4 + 40,000)

A = 2,500 + 100√(625 + 40,000)

A = 2,500 + 100√(40,625)

A = 2,500 + 100(201.56)

A = 2,500 + 20,156

A = 22,656 22,500 ft².

In conclusion, the best geometric shape for the model is a square pyramid and the approximate surface area is equal to 22,500 square feet.

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Answer:The best shape for the model is a square pyramid.

The approximate surface area is 22,500 square feet.

Step-by-step explanation: edmentum/plato answers

The point -2,5 is reflected across the y-axis. Which of these is the ordered pair of the image?
A) (-2,5)
B) (2,5)
C) (-2,-5)
D) (2, -5)

Answers

Answer:

B) (2,5)

Step-by-step explanation:

the right answer would be B

A box contains 6 red, 3 white, 2 green, and 1 black (total 12) identical balls. What is the least number of balls nevessary to take out randomly ( without looking) to be sure getting, atleast one red ball?

Answers

Answer:

7 balls

Step-by-step explanation:

Look for the worst case scenario:

Get 3 white, 2 green, and 1 black.

That adds up to: 3 + 2 + 1 = 6.

+1 red ball: 6 + 1 =7

7 balls

a group of preschoolers has 2 boys and 30 girls. what os the ratio of boys to all childern

Answers

Answer:

1 boy to 15 girls.

Step-by-step explanation:

Since there is only two boys, I divided each number by two and got 1 to 15. Have an amazing day!

The ratio of boys to all children in the group is 1:16.

Given that in a group there are 2 boys and 30 girls.

We need to find the ratio of boys to all children.

To find the ratio of boys to all children in the group, we need to add the number of boys and girls together to get the total number of children.

Then, we can express the number of boys as a fraction of the total number of children.

Number of boys = 2

Number of girls = 30

Total number of children = Number of boys + Number of girls

Total number of children = 2 + 30 = 32

Now, we can express the number of boys as a fraction of the total number of children:

Ratio of boys to all children = Number of boys / Total number of children

Ratio of boys to all children = 2 / 32

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which is 2:

Ratio of boys to all children = 1 / 16

So, the ratio of boys to all children in the group is 1:16.

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A major advantage of a ________ is that people whose roles span modules do not have to switch back and forth between old and new modules.

Answers

A major advantage of a direct implementation is that people whose roles span modules do not have to switch back and forth between old and new modules.

With this technique, the machine is implemented and tested to make certain it plays well. Then the antique machine is removed and the brand new one is put in its area without any overlap or restricted rollout.

There are three predominant methods used: phased implementation, direct changeover, and parallel going for walks. Phased implementation: A staged technique whereby one part of the overall system that desires change is changed.

Structures implementation is the process of defining how the data device needs to be built (i.e., physical machine design), ensuring that the records gadget is operational and used, and ensuring that the information device meets greatly preferred i.e. nice warranty.

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A resource comparison of the union and confederacy during the civil war. the title is comparing resources. the data are as follows. for each category, the union percentage is listed first, the confederate percentage, second. horses, 72, 28, food crops, 72, 28, cotton, 1, 99, prewar exports, 30, 70, soldiers, 67, 33, firearm production, 97, 3, railroad tracks, 71, 29, factories, 86, 14, bank deposits, 81, 19, total population, 71, 29 public domain during the civil war, in which resource area did the confederacy hold 28 percent of the total resources? factories food crops soldiers total population

Answers

During the Civil War, the North's heavy industrialization provided an advantage.

According to the information:

The distinct economic division between the northern and southern economies played a key role in the Union's Civil War victory. First, the vast capitalist industry was expanding, with a significant concentration of salaried labor, in full force, and on the verge of the Second Industrial Revolution (to which the development of new military technologies, such as battleships and the mass production of weapons, helped to the war. These northern bourgeois sectors were represented by the liberal nationalist new Republican Party, which worked to enact protectionist laws.

On the other hand, the south remained rooted in an economic structure that was adverse to the growth of capitalism (mechanization and hiring of workers were cheaper than the maintenance of slaves). To protect slavery would be the Democratic Party. This party, which had spearheaded the nation's significant southern expansion (pro-Mexican territorial annexation movement), now served as a proxy for the region's elites, who essentially favored the growth of the slave trade and unrestricted trade in manufactured products and raw resources.

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I understand that the question you are looking for is:

A resource comparison of the Union and Confederacy during the Civil War. The title is Comparing Resources. The data are as follows. For each category, the Union percentage is listed first, the Confederate percentage, second. Horses, 72, 28, Food Crops, 72, 28, Cotton, 1, 99, Prewar Exports, 30, 70, Soldiers, 67, 33, Firearm Production, 97, 3, Railroad Tracks, 71, 29, Factories, 86, 14, Bank Deposits, 81, 19, Total Population, 71, 29. Public domain Use the graph and your knowledge of U.S. history to answer the question. Which of these explains the differences in Union vs. Confederate firearm production during the Civil War? The North had a highly skilled labor force to make them. The North's heavy industrialization provided an advantage. The South had fewer men who were trained as metalworkers. The South's means of production were destroyed by General William Tecumseh Sherman.

Please help with this geometry question

Answers

It has been proven that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

How to prove a Line Segment?

We know that in a triangle if one angle is 90 degrees, then the other angles have to be acute.

Let us take a line l and from point P as shown in the attached file, that is, not on line l, draw two line segments PN and PM. Let PN be perpendicular to line l and PM is drawn at some other angle.

In ΔPNM, ∠N = 90°

∠P + ∠N + ∠M = 180° (Angle sum property of a triangle)

∠P + ∠M = 90°

Clearly, ∠M is an acute angle.

Thus; ∠M < ∠N

PN < PM (The side opposite to the smaller angle is smaller)

Similarly, by drawing different line segments from P to l, it can be proved that PN is smaller in comparison to all of them. Therefore, it can be observed that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

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how do you solve these two questions and what are the answers?

Answers

Answer:

a) -6/2

b) -9/2

Step-by-step explanation:

a) rearrange by making y the subject as y = mx+c

y = -6/2x-9/2

the gradient = -6/2

b) c is the y-intercept as it touch the y-axis, therefore -9/2 is where the line crosses the y-axis


A density graph for all the possible heights between 0 inches and 80 inches is
rectangular. What is the height of the rectangle in this density graph?
OA. 0.04
B. 0.025
C. 0.05
D. 0.0125

Answers

Density graphs have an area of 1 to represent 100% of the possibilities.

The length is 80

80 * height = 1
Height = 1 / 80
Height = 0.0125 (D)

The equation h = 7 sine (startfraction pi over 21 endfraction t) 28 can be used to model the height, h, in feet of the end of one blade of a windmill turning on an axis above the ground as a function of time, t, in seconds. how long is the blade? assume that the blade is pointing to the right, parallel to the ground, at t = 0, and that the windmill turns counterclockwise at a constant rate.

Answers

The windmill's blade measures 7 feet in length.

What is an equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.

To find the measure of the windmill's blade:

We have the equation: [tex]h=sin(\frac{\pi }{21t} )+28[/tex]At the time 't' = 0, the end of the blade is parallel to the ground and pointing to the right, indicating that it is the same height as the other end. (Ф = 0°)We may calculate the length of the blade by calculating the greatest height of this end at = 90°.We now know that the general model equation of a circular simple harmonic motion is written as follows:  y = A sinωt + kWhere A is the maximum displacement from mean to maximum positionThe angular frequency is ω.When eq1 and eq2 are compared:A = 7As a result, the difference in blade end height at = 0° and = 90° is 7 feet.

Therefore, the windmill's blade measures 7 feet in length.

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The correct question is given below:

The equation h=7sin(pi/21t)+28 can be used to model the height, h, in feet of the end of one blade of a windmill turning on an axis above the ground as a function of time, t, in seconds. How long is the blade? Assume that the blade is pointing to the right, parallel to the ground, at t = 0, and that the windmill turns counterclockwise at a constant rate. 7 feet 14 feet 21 feet 28 feet

Find an equation for the plane through the three points p(0, 1, 1), q(1, 0, 1), and r(1, 1, 0)

Answers

The equation for the plane through the points p(0, 1, 1), q(1, 0, 1) and r(1, 1, 0) is x + y + z = 2

Given,

Three points :- p(0, 1, 1), q(1, 0, 1), r(1, 1, 0)

We can take this as ([tex](x_{1} ,y _{1}, z_{1} ), (x_{2}, y_{2}, z_{2}), (x_{3}, y_{3}, z_{3})[/tex] respectively.

Thus,

The equation for the plane through the points

Here,

The formula of equation of the plane passing through three non collinear points

[tex]x-x_{1} y-y_{1} z-z_{1} \\x_{2} -x_{1} y_{2} -y_{1} z_{2} -z_{1} = 0\\x_{3} -x_{2} y_{3} -y_{2} z_{3} -z_{2}[/tex]

by substituting the values in the formula of equation of the plane

x-0  y-1  z-1

1-0  0-1  1-1    = 0

1-0  1-1  0-1

x  y  z

1  -1  0   =  0

1  0  -1

x(1) - (y-1)(-1) - (z-1)(-1) = 0

x + y - 1 + z - 1 = 0

x + y + z + 2 = 0

x + y + z = 2

The equation of the plane through the points p(0, 1, 1), q(1, 0, 1), and r(1, 1, 0) is x + y + z = 2

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The equation of the plane through the three points p(0, 1, 1), q(1, 0, 1), and r(1, 1, 0) is x + y + z = 2

For given question,

We have been given three points p(0, 1, 1), q(1, 0, 1), and r(1, 1, 0)

We need to find an equation for the plane through the given three points.

We know that the equation of the plane through the points [tex](x_1,y_1,z_1),(x_2,y_2,z_2),(x_3,y_3,z_3)[/tex] is,

[tex]\begin{vmatrix}x-x_1 & y-y_1 & z-z_1\\x_2-x_1 & y_2-y_1 & z_2-z_1\\x_3-x_1 & y_3-y_1 & z_3-z_1\end{vmatrix}=0[/tex]

Assume that for given points,

[tex](x_1,y_1,z_1)=(0, 1, 1)\\\\(x_1,y_1,z_1)=(1, 0, 1)\\\\(x_1,y_1,z_1)=(1, 1, 0)[/tex]

So, the equation of the plane passing though given points would be,

[tex]\Rightarrow \begin{vmatrix}x-0 & y-1 & z-1\\1-0 & 0-1 & 1-1\\1-0 & 1-1 & 0-1\end{vmatrix}=0\\\\\\\Rightarrow \begin{vmatrix}x-0 & y-1 & z-1\\1 & -1 & 0\\1 & 0 & -1\end{vmatrix}=0\\\\\\\Rightarrow x(1-0)-(y-1)(-1-0)+(z-1)(1-0)=0\\\\\Rightarrow x+y-1+z-1=0\\\\\Rightarrow x+y+z=2[/tex]

Therefore, the equation of the plane through the three points p(0, 1, 1), q(1, 0, 1), and r(1, 1, 0) is x + y + z = 2

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Find the surface area of the cylinder and round to the nearest tenth. (It is recommended that you use the π button on your calculator) (Note: Remember the radius is half of the diameter.)

If you are using a screen-reader, please consult your instructor for assistance.

Answers

The surface area of the cylinder is 18.84 square feet

How to determine the surface area?

The given parameters are

Height, h = 2 ft

Diameter, d = 2 ft

The radius (r) is half of the diameter (d)

This is calculated as:

Radius = Diameter/2

So, we have:

r = d/2

Substitute 2 for d

r = 2/2

Evaluate the quotient i.e. divide 2 by 1

r = 1

The surface area is then calculated using the following formula

A = 2πr² + 2πrh

Substitute the given values in the above equation

So, we have:

A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2

Evaluate the exponents

A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2

Evaluate the products

A = 6.28 + 12.56

Evaluate the sum

A = 18.84

Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet

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guys help me please

Answers

Answer:

(x + 6, y + 1)

Step-by-step explanation:

Just look at 1 point of ABCD. For example, look at point D.

Point D must become point F.

When you reflect ABCD over the x-axis, point D will end up at (-1, -2).

Now it has to be translated to (5, -1).

For x to go from -1 to 5, you need to add 6.

For y to go from -2 to -1, you need to add 1.

Answer: (x + 6, y + 1)

The angle measurements in the diagram are represented by the following expressions. \qquad \blueD{\angle A=7x + 40^\circ}∠A=7x+40 ∘ start color #11accd, angle, A, equals, 7, x, plus, 40, degrees, end color #11accd \qquad\greenD{\angle B=3x + 112^\circ}∠B=3x+112 ∘ start color #1fab54, angle, B, equals, 3, x, plus, 112, degrees, end color #1fab54 Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd: \blueD{\angle A} =∠A=start color #11accd, angle, A, end color #11accd, equals ^\circ ∘

Answers

⟨A = 7•x + 40° and ⟨B = 3•x + 112°

From a possible diagram of the question, ⟨A = ⟨B, which gives;

x = 18°⟨A = 166°

How can the value of x and the measure of ⟨A be found?

Given;

⟨A = 7•x + 40°

⟨B = 3•x + 112°

In the diagram from a similar question posted online, we have;

⟨A and ⟨B are corresponding angles

Corresponding angles formed by parallel lines having a common transversal are congruent, therefore;

⟨A and ⟨B are congruent

Which gives;

⟨A = ⟨B

7•x + 40° = 3•x + 112°

7•x - 3•x = 112° - 40° = 72°

7•x - 3•x = 4•x = 72°

x = 72° ÷ 4 = 18°

Therefore;

x = 18°

Which gives;

⟨A = 7•x + 40°

⟨A = 7 × 18 + 40° = 166°

The measure of angle ⟨A = 166°

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Answer:d

Step-by-step explanation:

khan

What is the probability that 2 precedes 1 when we randomly select a permutation of {1, 2,. ,n} where n ≥ 4?

Answers

The probability is 1/3.

Probability is sincerely how likely something is to show up. whenever we're unsure about the final results of an event, we will communicate about the probabilities of positive consequences—how probably they're. The evaluation of events governed by way of possibility is called information.

Probability is the branch of mathematics concerning numerical descriptions of ways likely an occasion is to arise, or how in all likelihood it's far that a proposition is actual. The opportunity of an event is more than a few among 0 and 1, wherein, kind of talking, zero suggests impossibility of the occasion and 1 shows the truth.

Chance = the wide variety of approaches to achieving achievement. the whole range of viable consequences. as an example, the opportunity of flipping a coin and its being heads are ½ because there may be 1 manner of getting a head and the overall wide variety of feasible results is two (a head or tail). We write P(heads) = ½.

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I dive to 56 feet for 47 minutes. After a 30 minute surface interval I do a second dive to 56 feet. Losing track of time, I notice my bottom time is now 25 minutes. According to the General Rules, what should I do

Answers

According to general rules, what you can do now is; Ascend right away to 15 feet and stay there for 8 minutes before going to the surface and not dive for 6 hours

How to solve algebra word problems?

We are given;

Initial distance dived = 56 feet

Time for initial dive = 47 minutes

Time from finishing of initial dive to start of second dive = 30 minutes

Second dive distance = 56 ft

Her current bottom time is now 25 minutes

Now, bottom time is defined as the total time, in minutes, from the beginning of a descent to the beginning of an ascent.

Thus, according to general rules, what you can do now is to Ascend right away to 15 feet and stay there for 8 minutes before going to the surface and not dive for 6 hours

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(50 POINTS!!!) find the total surface area and volume, then multiply by $0.004. please show your work!!

Answers

The Total surface area of the square pyramid = 115.2 in.²

The Volume of the square pyramid = 1,024 in.³.

What is the Total Surface Area of a Square Pyramid?

The total surface are of a square pyramid is given as: TSA = SA = 1/2(P × l), where:

P = perimeter of the square base

l = slant height of the pyramid

What is the Volume of a Square Pyramid?

The volume of a square pyramid = 1/3(a³ × h), where:

a = edge of the square base

h = height of the pyramid

Find the Total surface area of the Pyramid:

P = 4(a) = 4(8) = 32 in.

l = 7.2 in.

Total surface area of the square pyramid = 1/2(32 × 7.2)

Total surface area of the square pyramid = 115.2 in.²

Volume of the square pyramid:

a = 8 in.

h = 6 in.

Volume of the square pyramid = 1/3(8³ × 6)

Volume of the square pyramid = 1,024 in.³

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Please Solve the following #6 and #7. Answer: C, A

Answers

6) For the inverse to be a function, f(x) needs to be one to one. To accomplish this, restrict the domain to one side of the axis of symmetry

7) The y-intercept of the inverse is when x=0. This means we want to find when f(x)=0.

[tex]4(1/3)^x = 16 \\ \\ (1/3)^x= 4 \\ \\ x=\log_{1/3}(4) \approx -1.26[/tex]

Consider these situations. in each situation, is the demand for the good elastic or inelastic? as the price of flat-screen televisions decreases, the quantity demanded increases significantly. as the price of bread decreases, the quantity demanded changes only slightly. as the price of a drug used to treat heart disease increases, the quantity demanded remains unchanged.

Answers

Answer:

Step-by-step explanation:

elastic, inelastic, inelastic

Answer: elastic, inelastic, inelastic

Step-by-step explanation:

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