Find the volume of the cylinder.
Either enter an exact answer in terms of pi or use 3.14 for pi
4
6

Find The Volume Of The Cylinder.Either Enter An Exact Answer In Terms Of Pi Or Use 3.14 For Pi 4 6

Answers

Answer 1

Answer:

144π or 452.16 units³

Step-by-step explanation:

The formula for volume of a cylinder is [tex]\pi r^2 h[/tex]. We can use the given values for radius and height to find the volume of the cylinder.

Finding the Volume

[tex]V=\pi r^2 h\\V=\pi6^2(4)\\V=\pi36(4)\\V=144\pi \ OR\ 452.16[/tex]

The volume of the cylinder is 144π or 452.16 units³.


Related Questions

The area of a park is 2,976 feet squared. If the length of the park is 62 ft, what is the width of the park?
If necessary, round to the nearest whole number.


width =

ft=

Answers

Answer:

Area of park = 2976 ft²

Length of park = 62 ft

Width of park = ?

Area of park = length ×width

2976 = 62 × width

width = 2976/62

=48 ft

use substitution to solve the system 3x+8y = -56 2x-y = 7

Answers

Answer: x = 0 ; y = -7

Step-by-step explanation:

Given equation:

1) 3x + 8y = -56

2) 2x - y = 7

Subtract 2x on both sides of 2) equation to isolate y-value

2x - y - 2x = 7 -2x

-y = 7 - 2x

Divide -1 on both sides of 2) equation

-y / -1 = (7 - 2x) / -1

y = 2x - 7

Current system

1) 3x + 8y = -56

2) y = 2x - 7

Substitute 2) equation into the y-value of 1) equation

3x + 8 (2x - 7) = -56

Simplify by distributive property

3x + 8 × 2x - 8 × 7 = -56

3x + 16x - 56 = -56

Combine like terms

19x - 56 = -56

Add 56 on both sides

19x - 56 + 56 = -56 + 56

19x = 0

Divide 19 on both sides

19x / 19 = 0 / 19

[tex]\Large\boxed{x=0}[/tex]

Substitute the x-value into one of the equations to find the y-value

2x - y = 7

2 (0) - y = 7

0 - y = 7

-y = 7

[tex]\Large\boxed{y=-7}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A high school principal reports that the average sat math score for last year’s graduating class is 520. a sample is taken of this year’s graduating class is taken and the average sat math score is reported to be 530. how would you compare the last two graduating classes?

Answers

Based on the average SAT Math score that the graduating classes got, the comparison is that this year's graduating class did better than last year's graduating class.

How can both classes be compared?

The average score is used to show the general trend of scores that students were able to attain.

The average score of 530 that this year's graduating class attained is higher than the average of the previous graduating year which is 520.

This means that on average, this year's graduating class did better than that of last year because their general trend was higher.

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help me pls like srsly

Answers

The time it will take the thermometer to hit the ground is 22 seconds

Calculating Time

From the question, we are to determine the how long it would take the thermometer to hit the ground

From the given information,

The equation for the height as a function of time is

h(t) = -16t² + initial height

From the given information,

The thermometer falls from a weather balloon at a height of 7744 ft

∴ Initial height = 7744 ft

When the thermometer hits the ground, h(t) = 0

Thus, we get

0 = -16t² + 7744

16t² = 7744

t² = 7744/16

t² = 484

t = √484

t = 22 seconds

Hence, the time it will take the thermometer to hit the ground is 22 seconds

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Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to tariqareesha2, tysm for the help!

Please help answer my questions like these I have many more quick algebra 1 questions that are all due in 2 days so it would be much appreciated if you check them out. Once again, tysm!

Answers

It’s the bottom left

Answer:

its the 4th one i think

Step-by-step explanation:

Graph the equation:

Y = 1/3x + 2

Please help!!
please explain in a way a middle schooler would understand!!
ty!

Answers

This is a slope intercept form problem! The equation would be modeled as in the image. It would be modeled as so because 2 is the y-intercept, meaning that is where we begin on the graph (the point location is (0,2). From there, we would move up 1 point and to the right 3 points because slope is represented by rise over run. Since 1/3 has a variable beside it, we know 1/3 is the slope. With that being said, the equation would be graphed by starting at (0,2) on the graph and moving up 1 and to the right 3 points each time. If you need any help, let me know and I will gladly assist you.

Find all real numbers x such that x^2 < 4. Give your answer in interval notation.

Answers

Inequalities help us to compare two unequal expressions. For all real numbers x such that x²<4, the interval which will satisfy the given inequality is (-2,2).

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given the inequality x²<4, whose solution can be calculated as shown below.

x² < 4

x² - 4 < 0

x² - 2² < 0

(x+2)(x-2)<0

x = (-2, 2)

Hence, for all real numbers x such that x²<4, the interval which will satisfy the given inequality is (-2,2).

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Select the correct answer. What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 1? A. -0.21 B. 0.74 C. 1.35 D. 1.97

Answers

Given the:

ln(x + 6) - ln(2x - 1) = 1

Using the logarithm rule:

ln a - ln b = ln (a/b)ln((x + 6) / (2x - 1)) = 1((x + 6) / (2x - 1)) = E ¹

We know,

e1 = ²'⁷²((x + 6) / (2x - 1)) ≈ 2.72

Simplifying we get,

(x + 6) = 2.72 (2x - 1)x + 6 = 2.72 (2x) - 2.72 (1)x + 6 = 5.44x - 2.728.72 = 4.44x

By cross multiplication we get,

x = 8.72 / 4.44x = 1.97

Therefore, the value of x is 1.97.

The correct option in the exercise ln (x + 6) - ln (2x - 1) = 1 is alternative "D".

Hold practice this with a piano in 2030 minute in 5 weeks at what rate did she practice in minutes per dayhold practice this with a piano in 2030 minute in 5 weeks at what rate did she practice in minutes per day

Answers

58 min/day  rate did she practice in minutes per day.

What is  time?

In math, time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through present, and to the future. Time is used to quantify, measure or compare the duration of events or the intervals between them, and even, sequence events.

1 day = 2030 min ÷ (5 weeks × 7 days)

1 day = 2030 ÷ 35

1 day = 58 minutes

rate = 58 min/day

Therefore, 58 min/day  rate did she practice in minutes per day.

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Geometry: Complete these proofs, ASAP!!!

Answers

The complete proofs are:

Proof 1

a || b; c || d ⇒ Given∠5 is supplementary to ∠4 ⇒ ∠5 + ∠4 = 180∠2 = ∠4 ⇒ Definition of corresponding angles ∠5 + ∠2 = 180 ⇒ Substituting property of equality∠5 + ∠2 = 180 ⇒ Definition of supplementary angles

Proof 2

BD bisects ∠ABC; AD || BC; AB || CD ⇒ Given∠3 ≅ ∠4 ⇒ Definition of congruent angles∠1 ≅ ∠3 ⇒ Definition of corresponding angles ∠1 ≅ ∠4 ⇒ Definition of corresponding angles

How to complete the proofs?

Proof 1

Lines a & b and c and d are given as parallel lines.

So, we have

a || b; c || d ⇒ Given

From the question, we have:

∠5 is supplementary to ∠4

So, we have

∠5 + ∠4 = 180

This is so because supplementary angles add up to 180

Corresponding angles are equal.

So, we have:

∠2 = ∠4

By the substituting ∠2 for ∠4 in ∠5 + ∠4 = 180, we have

∠5 + ∠2 = 180

Hence, angles ∠5 and ∠2 are supplementary angles

Proof 2

Line BD bisects angle ABC; lines AD & BC and AB & CD are given as parallel lines.

So, we have

BD bisects ∠ABC; AD || BC; AB || CD ⇒ Given

From the question, we have:

∠3 ≅ ∠4 ⇒ Definition of congruent angles

∠1 ≅ ∠3 ⇒ Definition of corresponding angles

Substitute ∠1 ≅ ∠3 in ∠3 ≅ ∠4

∠1 ≅ ∠4

Hence, the angles 1 and 4 are congruent

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How do you expressed the difference in the measures of center as a multiple of the measure of variation in a box plot when the IQ ours are different

Answers

You just use a calculator

Circle X is shown. Line segments W X and Y X are radii. Tangents W Z and Y Z intersect at point Z outside of the circle. Arc W Y is 109 degrees.

What is the measure of angle WZY?
54.5°
71°
125.5°
180°

Answers

From the calculations below, it is seen that the measure of angle WZY is gotten to be 71°

How to find the angle from a circle tangent?

The lines ZY and ZW are tangents to the attached circle which is centered at x.

From the properties of circles, the tangents (ZY and ZW) from an external point to the circle make an angle of 90° to the radius of the circle. i.e. XW and ZY respectively.

From the attached diagram, we see that angles ZWX and ZYX are 90° each. Since WXYZ is a quadrilateral the sum of its internal angles is 360°.

Out of the four angles of the quadrilateral, the three angles are seen as 109°, 90°, 90°. Therefore, the fourth angle is;

∠WZY = 360° - (90° + 90° + 109°)

∠WZY = 360° - 289°

∠WZY = 71°

Therefore, we can conclude from the calculations above that the measure of angle WZY is gotten to be 71°

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Answer:  B. 71°

Step-by-step explanation:  TRUST ME!!! Answer is correct on Edge!!! :)

I got it right!

y = x - 4
2x + y = 5

solve for x and y

Answers

Answer:

X = 2

Y = 1

Step-by-step explanation:

Solve by substitution

[tex]y = x - 4 \\ 2x + y = 5 \\ \\ y = x - 4 \\ 2x - 5 = - y \\ \\ y = x - 4 \\ - y = 2x - 5 \\ \\ add \: the \: two \: equations \\ \\ 0 = 3x - 9 \\ 9 = 3x \\ \frac{9}{3} = \frac{3x}{x} \\ x =3 \\ \\ substitute \: 3 \: for \: x \: in \: one \: of \: the \: equations \: to \: find \: y \\ \\ y = x - 4 \\ y = 3 - 4 \\ y = - 1 \\ \\ solution \: (3. - 1)[/tex]

When does the rock hit the ground? the rock hits the ground between seconds and seconds after it is dropped.

Answers

Between 2 seconds and 2.5 seconds, the rock hits the ground after it is dropped.

What are distance and time?

A distance-time graph shows how far an object has travelled in a given time. It is a simple line graph that denotes distance versus time findings on the graph. Distance is plotted on the Y-axis. Time is plotted on the X-axis.

As you can see at 2s the height of the rock is 0.4m and at 2.5s it is -10.6m, which tells us that in between these values the height would have been 0m, as the movement of the rock is uniform in direction and hence, the rock will hit the ground between 2s and 2.5s.

The rock hits the ground between 2 seconds and 2.5 seconds after it is dropped.

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HELPPPPP: An ipod cost $200. Ivy is going to save money for the ipod by babysitting for $15 per week. Ivy already has $32 saved. Write an inequality that can be used to find the minimum number of weeks Ivy must babysit to earn enough to buy an ipod.

Answers

Forming Equations from Word Problems

To form an equation from a word problem, we can recognize variables and operations from keywords.

Solving the Question

Let the number of weeks be a.

We're given:

Goal amount is $200 at minimumMoney earned is $15aCurrent amount is $32

Because $200 is the minimum account required, we know that the amount earned must be greater than or equal to 200.

[tex]200\leq[/tex]

Our current savings and money can be calculated by adding 15a and 32:

[tex]200\leq15a+32[/tex]

Answer

[tex]200\leq15a+32[/tex]

What is the vertex of the graph of the function f(x)=x^2+8x-2 !?

Answers

Answer:

(-4, -18).

Step-by-step explanation:

f(x = x^2 + 8x - 2         Completing the square on x^2 + 8x:-

     = (x + 4)^2 - 16 - 2

     = (x + 4)^2 - 18

- which is the vertex form of f(x)

The vertex of

(x - h)^2 + k  is at (h, k)

So the vertex of f(x) is at (-4, -18)

I need help on this question please help me

Answers

Answer:

Step-by-step explanation:

6*[4-(42-63)]=

6*[4-(-21)]=

6*[4+21]=

6*25=150.

6*[4-9÷3]=

6*[4-27]=

6*(-23)=-138.

6*[4-3]=

6*1=6.

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube? 6 cubic feet 18 cubic feet 54 cubic feet 72 cubic feet

Answers

The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

What is a cube?A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex. The cube is one of the five Platonic solids and the only regular hexahedron. It has six faces, twelve edges, and eight vertices.

To find the volume of the cube that perfectly fits an 18 ft³ pyramid:

We have been provided that:

18 cubic feet is the volume of the pyramid.Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.We can conclude from this that the volume of a cube equals three times the volume of a pyramid.So, the volume of the cube = 3 × 18The volume of Cube = 54 ft³

Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

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The correct question is given below:

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?

(A) 6 cubic feet

(B) 18 cubic feet

(C) 54 cubic feet

(D) 72 cubic feet

If these two shapes are similar, what is the measure of the missing length w 20 in 15 in 12 in

Answers

Answer:

Step-by-step explanation:

Which angle refers to the same angle as \angle BPF∠BPFangle, B, P, F?

Answers

A vertically opposite angle is a pair of angles formed due to the intersection of two lines, and are said to be equal. Thus the angle that is the same as <BPD is <APC.

ii. The value of x is [tex]47^{o}[/tex].

The intersection of two or more lines at a point will always produce a set of angles. Some of these angles when compared may have similar measures or properties.

Two angles can be equal with respect to their measure if they are vertically opposite. Vertically opposite angles are angles formed when two lines intersect, such that a pair of opposite angles about the point of intersection are equal.

Thus from the given question, the angle that is the same as <PBD is <APC.

i.e <BPD ≅ <APC (vertically opposite property)

Also,

x + 133 = 180 (sum of angles on a straight line)

x = 180 - 133

  = 47

x = [tex]47^{o}[/tex]

Therefore the value of x is [tex]47^{o}[/tex].

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Ramiro was on a two day road trip.on the first day he drove at an average speed of 40 mph.on the second day he drove at an average of 60 mph.if he drove 2 hours longer and went 20 miles farther on his first day find the total distance ramiro traveled on his road trip.

Answers

Considering the relationship between velocity, distance and time, it is found that the total distance traveled was of 380 miles.

What is the relationship between velocity, distance and time?

Velocity is distance divided by time, that is:

v = d/t.

For the first day, we have that:

v = 40, t = t + 2, d = d + 20, hence:

40 = (d + 20)/(t + 2)

For the second day, we have that:

v = 60

60 = d/t

d = 60t

Then, replacing in the first equation:

40 = (60t + 20)(t + 2)

60t + 20 = 40t + 80

20t = 60

t = 3.

Then the distances are given by:

First day: d = 60t + 20 = 60 x 3 + 20 = 200 miles.Second day: d = 60t = 60 x 3 = 180 miles.Total: 200 miles + 180 miles = 380 miles.

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find the surface area of composite figure. use 3.14 for π. round to the nearest tenth

Answers

Answer:

334 in^2.

Step-by-step explanation:

The surface area = area of the top prism + area of the bottom - 2 * area of the base of the  top smaller prism

= 2(5*3 + 5*3 + 3*3) + 2(9*7 + 9*5 + 7*5) -  2* 3*5

= 2* 39 + 2*143 - 30

= 334

________ If an arc has measure 7π/4 radians, what is its measure in degrees?

________ What is 60° in radians?

Answers

If an arc has measure 7π/4 radians then it will be having 315 degrees and 60° in radian is π/3.

Given that arc has measure of 7π/4.

We are required to convert the measure from radian to degree measure.

Converting means chaning of units from one to another.

To convert 7π/4 into degrees we have to just put π=180 then we will get the value in degrees.

7π/4=7*180/4

=7*45

=315 degrees

Now we have to convert 60 degrees into radians.

60 degrees=60*π/180

=π/3

Hence if an arc has measure 7π/4 radians then it will be having 315 degrees and 60° in radian is π/3.

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Use lagrange multipliers to find the minimum distance between the origin and the plane 3x y 2z = 28

Answers

The minimum distance between the origin and the plane 3x + y + 2z = 28, using the Lagrange Multipliers is 8.73 units.

In the question, we are asked to use Lagrange multipliers to find the minimum distance between the origin and the plans 3x + y + 2z = 28.

Lagrange multipliers state that if we want to minimize a function, f(x, y, z), subject to a constraint g(x, y, z) = constant, then ∇f = λ∇g.

We want to minimize the distance, and the distance formula says that the distance from the origin to a point (x, y, z), is given as:

D = √(x² + y² + z²), which can also be shown as:

D² = x² + y² + z².

The gradient of this function is: (2x + 2y + 2z), which needs to be equal to the gradient of the constraint equation multiplied by the constant, λ, that is, λ(3, 1, 2), which gives:

2x = 3λ, or, x = (3/2)λ,

2y = λ, or, y = λ/2, and,

2z = 2λ, or, z = λ.

Substituting these in the equation of the plane, 3x + y + 2z = 28, we get:

3(3/2)λ + λ/2 + λ = 28,

or, 6λ = 28,

or, λ = 28/6 = 14/3.

Thus, we get:

x = (3/2)λ = 7,

y = λ/2 = 7/3, and,

z = λ = 14/3.

Substituting these in the distance formula, we get:

D = √(7² + (7/3)² + (14/3)²) = √(49 + 49/9 + 196/9) = √(686/9) = 8.73.

Thus, the minimum distance between the origin and the plane 3x + y + 2z = 28, using the Lagrange Multipliers is 8.73 units.

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PLEASE HELP ASAP
18. A surveyor intends to create a bridge across a river. There is a tall tree on the other side of the river. He
measures a line down his side of the river for 125 feet. At each side of this line he uses his surveying
equipment to measure the angle to the tree on the other side of the river. At the beginning of the line, the
angle to the tree was 65°10', at the end of the line the angle to the tree is 60°10'. If he wants the bridge to go
from where he started his line to the tree, then how long will the bridge be?

Answers

The 125 feet long line and the angles 65°10', and 60°10' obtained from the surveying equipment gives the length of the bridge as approximately 1234.2 feet.

Which rule can be used to find the length of the bridge?

Given;

Location of the tree = The other side of the river from the surveyor

Length of the line measured along the river, L = 125 feet

Angle to the tree from the start of the line = 65°10'

1° = 60'

10' = ((1/60)×10)° = (1/6)°

65°10' = (65 + 10/60)° = (65 + 1/6)°

Angle measured at the end of the line, E = 60°10'

Similarly;

E = 60°10' = (60 + 1/6)°

The interior angle, S, of the triangle formed by the tree and the line, at the start of the line is therefore;

Angle S = 180° - (65 + 1/6)° = (114+5/6)° (linear pair angles)

S = (114+5/6)°

From the angle sum property of a triangle, angle formed at the tree, T, is therefore;

T = 180° - ((114+5/6)° + (60 + 1/6)°) =

According to the rule of sines, we have;

l/(sin T) = b/(sin E)

Where;

b = The length of the bridge

Which gives;

124/(sin 5°) = b/(sin (60 + 1/6)°)

b = (sin (60 + 1/6)°) × (124/(sin 5°)) ≈ 1234.2

The length of the bridge, b ≈ 1234.2 feet

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Anne can make 6 headbands 3/5 from meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What is the solution to the expression?

Answers

The amount of cloth needed to make 1 headband is 10 meters.

Unit value

Number of headbands Anne made = 6

Total clothes used = 3/5 meters

Cloth needed to make 1 headband = Number of headbands Anne made / Total clothes used

= 6 ÷ 3/5

= 6 × 5/3

= (6 × 5) / 3

= 30/3

= 10 meters

Therefore, the amount of cloth needed to make 1 headband is 10 meters.

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necesito la respuesta, urgente

Answers

The value of the function f(x) = ( 8x² - 2x + 4 ) / 2 when x = -3/5 is 101/25.

Hence, f(-3/5) = 101/25.

What is the value of the function at f(-3/5) ?

Given the function; f(x) = ( 8x² - 2x + 4 ) / 2

To determine the value of the function when x = -3/5, we simply replace the variable x with -3/5 in the function.

f(x) = ( 8x² - 2x + 4 ) / 2

f(-3/5) = ( 8(-3/5)² - 2(-3/5) + 4 ) / 2

Divide each term by 2

f(-3/5) = 4(-3/5)² - (-3/5) + 2

f(-3/5) = 4(9/25) - (-3/5) + 2

f(-3/5) = 36/25 +3/5 + 2

f(-3/5) = ( 36 + 3×5 + 2×25 ) / 25

f(-3/5) = ( 36 + 15 + 50 ) / 25

f(-3/5) = 101/25

The value of the function f(x) = ( 8x² - 2x + 4 ) / 2 when x = -3/5 is 101/25.

Hence, f(-3/5) = 101/25.

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HELP ASAP

Consider functions H and K
What is the value of (h o k)(2)?

and look at this graph and please tell me what the answers are

Answers

Answer:

-3

Step-by-step explanation:

(h o k)(2) means

h( k(2)).

Remember when you have a function like f(x) or g(x) or h(x) or k(x), whatever number (or expression) is inside of the parenthesis, they're telling you to use that in place of x.

What h( k(2) ) means is we're going to put k(2) into h.

Well, what's k(2)? We need to find that first. k(x) is given as the oval and arrows thing going on there. If we're looking for k(2) then 2 is being the x. Find 2 in the first oval, follow the arrow to the output which is k(2).

If x = 2, the k(2)= -2

So back to

(h o k)(2):

(h o k)(2)

= h( k(2) )

= h(-2)

Since h(x)= 3/x+1

and x is -2, we'll put -2 in place of x.

h(-2) = 3/-2+1

= 3/-1

= -3

HELP PLEASE !!!!!!!!!​

Answers

The amount made per minute is $1.28 * 10^7

Ratio and proportions

Fractions are written as a ratio of two numbers. For instance a/b is a fraction.

According to the question, a certain animated movie earned $1.1 * 10^9 every 9.1 * 10^1 minutes.

$1.1 * 10^9 = 9.1 * 10^1

In order to determine the amount earned per minute;

x = 1minute

Divide both expressions

1.1 * 10^9/x = 9.1 * 10^1

x = 1.1 * 10^9 /9.1 * 10^1

Divide the result

x = 1.1 * 10^9 /9.1 * 10^1

x = 0.12 *10^8
x = $1.28 * 10^7

Hence the amount made per minute is $1.28 * 10^7

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PLEASE HELP IM STUCK

Answers

Answer:

Step-by-step explanation:

As per the same approach I answered in a similar problem:

The slope is the Rise/Run between the two points.  The change in y for every change in x.  Take the two points and calculate theRise/Run:

RISE = (-11 - 9) = -20

RUN = (3 - (-2)) = 5

Rise/Run, or slope, is = -20/5 or -4

I graphed this line and the two points (attached).

Answer:

-20/5 or -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

As per the same approach I answered in a similar problem:

The slope is the Rise/Run between the two points.  The change in y for every change in x.  Take the two points and calculate theRise/Run:

RISE = (-11 - 9) = -20

RUN = (3 - (-2)) = 5

Rise/Run, or slope, is = -20/5 or -4

Other Questions
Which law required that all research studies involving human subjects undergo review by a board? Amy and Richard each solved an equation using the quadratic formula.Amy's Equation and MethodLatex: 4x^2+7x-20=04x2+7x20=0Step 1: Latex: x=\frac{-7\pm \sqrt{7^2-4(1)(20)}}{2(4)}x=7724(1)(20)2(4)Step 2: Latex: x=\frac{-7\pm \sqrt{49-80}}{8}x=749808Step 3: Latex: x=\frac{-7\pm \sqrt{-31}}{8}x=7318Step 4: Latex: x=\frac{-7\pm i\sqrt{31}}{8}x=7i318Richard's Equation and MethodLatex: x^2-6x+8=0x26x+8=0Step 1: Latex: x=\frac{6\pm \sqrt{(-6)^2-4(1)(8)}}{2(1)}x=6(6)24(1)(8)2(1)Step 2: Latex: x=\frac{6\pm \sqrt{36-32}}{2}x=636322Step 3: Latex: x=\frac{6\pm \sqrt{4}}{2}x=642Step 4: Latex: x=\frac{6+\sqrt{4}}{2}x=6+42 and Latex: x=\frac{6-\sqrt{4}}{2}x=642Step 5: Latex: x=\frac{6+2}{2}x=6+22 and Latex: x=\frac{6-2i}{2}x=62i2Step 6: Latex: x=4x=4 and Latex: x=3-ix=3iBoth students made a mistake.Describe the mistake each student made.Explain what each student needs to do to fix their mistake.Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using Latex: a\textsf{, }b\textsf{,} and Latex: cc of your equation and giving the solutions to the equation you chose.Number your responses from 1 to 3 so your instructor can tell which question you're responding to. You may not receive full credit if your teacher cannot determine that you've answered each question.Search entries or author An individual in a group can influence the behavior or beliefs of the majority. this is known as __________. Certain business processes are copyrightable. group of answer choices true false Read the speech "Voluntourism: An Opportunity Too Good to be True" and consider the advertisement "The Opportunity of a Lifetime." Then, answer the question.Voluntourism: An Opportunity Too Good to be TrueA Speech to the Student Body of Evergreen High[1] Picture this: It's Spring Break, and you fly off to some country where there's lush rainforests and beautiful, blue coastlines to explore. There's also people in need, so you decide to blend your vacation with volunteering. Volunteering as a tourist, or voluntourism, seems like a great way to explore new regions and help people at the same time. However, this "volunteer plus travel" experience can actually harm local communities. While many teens might view traveling and volunteering abroad as a worthwhile adventure, there are more genuine and effective ways to make a difference.[2] Most would agree that volunteering in general is a worthy use of time. However, what if you found out the children you are "helping" are actually being kept in poor conditions so voluntourists will spend money to come to the local area? Dale Rolfe, a supporter of ethical voluntourism, explains the shocking reality that "Animal sanctuaries and orphanages are often manufactured for the voluntourist...encouraging a cycle of exploiting the very animals and children the volunteers are trying to help."[3] Proponents of the "volunteer plus travel" experience also argue that traveling to new places builds character and is a valuable way to learn about different cultures. With voluntourism, however, participants often pursue experiences that are all about them. For example, they sign up to build a school for a gold star on their resume, but they have no real building skills and take jobs away from local construction workers (Schulten). Or, they arrive to teach English but instead take selfies with the locals. One world traveler and ethical voluntourist believes voluntourism "can perpetuate small minded views of the world by taking insulated, fake, and structured experiences and selling them as unabridged and eye opening" (Carlos). The voluntour experience is a mirage. The voluntourist's eyes are not opened to real life at the destination, and lasting change is not achieved.[4] If you want a genuine experience where you can see a lasting impact, there are better options than voluntourism. You can volunteer in your local community. Give an hour every week to your town's animal rescue. Serve monthly dinners to the homeless. Be a reliable, positive influence on a child who needs a mentor. Studies show that volunteering and forming lasting relationships with those you help has a positive impact on your physical and emotional health. In fact, blood pressure is reduced, memory is improved, and rates of depression are reduced (Michaels).[5] There is another reason to look into alternatives to voluntourism. Did you know the average "voluntour" travel package costs $3,400 (Rolfe)? Could that travel money be better spent? If the world's citizens are your passion, it could go to an international organization. If you care about education, your funds can be used to buy books for students in faraway lands. If you want villagers to have clean water, contribute funds to local efforts to dig wells. If you want to experience a different culture, travel to the country as a guest, and learn from the locals how you can best help them after you've returned home. But do not voluntour.[6] In reality, there are better ways to make a difference. Voluntourism might appear to be an adventure that blends travel and helping others, but it does little except provide a costly, superficial experience that might actually do more harm than good. So, volunteer where you are most needed-at home, where you can stay to see the job through and form genuine, lasting relationships. Choose a beautiful coastline closer to home and send the travel money you saved to an international organization that will put it to good use. Whatever you do, don't turn someone else's hardship into your vacation."The Opportunity of a Lifetime"(look at image)Both texts (the speech and the advertisement) address voluntourism. However, each text has a different purpose, which is reflected by the details each writer chose to include. Consider the words and images used.In a paragraph of 6-8 sentences, identify what each text emphasizes and explain how that emphasis reveals each author's position on voluntourism. Be sure to state each author's position and include evidence from both texts to support your analysis. Saying a person has _____disorders means the individual has two or more diagnoses. State the sources of energy and write the importance of alternative sources of energy By focusing on influencing the republican primary elections, the tea party movement in texas is trying to:____. the collapse of the berlin wall in 1989 was largely responsible for the political changes that occured in south africa 0 A written promise to pay a specificied amount of money on a specific date is called a:_______ The university recycling food and beverage, paper, etc wastage project.1. ORIGIN OF THE REPORT2. OBJECTIVES OF THE REPORT3. A BRIEF INTRODUCTION TO THE ORGANIZATION PART4. INITIAL INVESTIGATION: o The needs, symptoms, problem definition, and objectiveso The environment (discuss how various internal and external environment forces will influence project performance)o Project risk management5. REQUEST FOR PROPOSAL: o Statement of worko Proposal requirementso Contractual provisionso Technical information or datao Proposal evaluation criteriaFinal term:1. THE PROJECT PROPOSAL2. SELECTING THE WINNING PROPOSAL (Select and apply one evaluation method and demonstrate how the client will select a proposal): 3. PROJECT CHARTER:4. WORK BREAKDOWN STRUCTURE (WBS): 5. GANTT CHART6. NETWORK DIAGRAM : 7. CRITICAL PATH: 8. EARLY TIMES AND LATE TIMES: 9. TOTAL SLACK AND FREE SLACK: 10. CONCLUSION REFERENCES: Ojo's portfolio's return is 12 percent. she is invested in cisco and ibm which had returns of 15 percent and 9 percent respectively. what percentage of jojo's assets are invested in each firm? Sandra's employer savings options were not suitable for her needs, so she sought other options. what did sandra most likely do? Which of the following statements does not describe a characteristic of the line of best fit for a scatter plot? An organization that has all its people in one location is typically ________ than an organization that is dispersed around the country or around the world please help! find the distance of AG if A (4,4) and G (-1,-1) if a 2 liter bottle of coke cost $2.34 how much does 1mL of coke cost? NO LINKS!! Please help me with this problem If a solution has a pH of 2, what is the hydroxide ion concentration?Group of answer choicesA. 1x10-12 MB. 12C. 1x10-2 MD. 2