26.
What is the solution to. y - 9 > 4 + 2y?

HELP. answer if you can!​

Answers

Answer 1

Answer:

y<−13

y−9>4+2y

Simplify both sides of the inequality

y−9>2y+4

Subtract 2y from both sides

y−9−2y>2y+4−2y

−y−9>4

Add 9 to both sides.

−y−9+9>4+9

−y>13

The divide both sides by -1

Answer 2

Answer:

[tex]\boxed{y < -13}[/tex]

Step-by-step explanation:

Hey there!

To solve for y we‘ll combine like terms and use the communicative property.

y - 9 > 4 + 2y

+9 to both sides

y > 13 + 2y

-2y to both sides

-y > 13

Divide -1 by both sides

y < -13

Hope this helps :)


Related Questions

find the value of y

a. 118
b. 65
c. 130
d. 32.5

Answers

Answer:

Option (B).

Step-by-step explanation:

Since "measure of an angle formed between the tangent and a chord measure the half of the intercepted arc."

Therefore, x = 2 × (65)°

x = 130°

Since, measure of the inscribed angle is half of the measure of the intercepted arc.

Therefore, x = 2y

y = [tex]\frac{x}{2}[/tex]

y = [tex]\frac{130}{2}[/tex]

y = 65°

Therefore, Option (B). 65° will be the correct option.

ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.

Answers

Answer:

When two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°

Step-by-step explanation:

Based on the Inscribed Angles Theorem, the measure of an intercepted arc is twice the measure of the inscribed angle that intercepts it in a circle.

Consequently, the theorem also Holds that the measure of two inscribed angles intercepting the same arc, are congruent. In other words, both angles together are the same, and their sum would give you the measure of the arc they both intercept.

In the diagram shown in the attachment below, we have 2 inscribed angles, angle A and B. They both intercept the same arc of 75°.

Therefore, we can conclude that the measure of both angles equal 75°, which is the same as the measure of the arc they intercept.

Angle A = Angle B

m<A + m<B = measure of intercepted arc = 75°

2x-4Y+6 take aaway 3y-11​

Answers

Answer:

2x - 7y + 17

Step-by-step explanation:

Subtracting the 2 expressions

2x - 4y + 6 - (3y - 11) ← distribute parenthesis by - 1 )

= 2x - 4y + 6 - 3y + 11 ← collect like terms

= 2x - 7y + 17

Answer:

0

Step-by-step explanation:

2x_4y +6_3y_11

2x_7y=17

2x _7y+17=0

A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p, it can charge per shirt. In particular, historical data shows that 1,000 shirts can be sold at a price of $30, while 3,000 shirts can be sold at a price of $5. Find a linear equation in the form p(n)

Answers

Answer:

p=(-0.0125n) + 42.5

Step-by-step explanation:

Let p= price

n = number of shirts

m = slope of the line (note, the more shirts, the lower the price, so we know it's going to be negative)

b = y intercept

There are two points which are (1000, $30) and (3000, $5)

Our slope m = (p1-p2)/(n1-n2)

Filling in from our points m = (30-5)/(1000-3000)

m = 25/-2000

m = -0.0125

Since we have determined our slope, we can now find our equation

p-p1=m(n-n1)

p-30=(-0.0125)(n-1000)

p-30= (-0.0125n) + 12.5

p=(-0.0125n) + 42.5

Then, we can double check with the other point there:

p=(-0.0125n) + 42.5

5? (-0.0125x 3000) + 42.5

5= 5

Therefore,linear equation in the form p(n) is

p=(-0.0125n) + 42.5

Which of the following points is the greatest distance form y -axis a.2,7 b.3,5 c.4,3 d.5,1

will mark brainlist

Answers

Answer:

D

Step-by-step explanation:

It's d because it has the highest x value. The higher x value is the farther it is from the y-axis

Find the distance between the two points in simplest radical form. (1, 5) and (9, 0)

Answers

Answer:

√89

Step-by-step explanation:

[tex](1,5)=(x_1,y_1)\\(9,0) = (x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\d = \sqrt{(9-1)^2 +(0-5)^2}\\ \\d = \sqrt{(8)^2+(-5)^2}\\ \\d = \sqrt{64+25}\\ \\d = \sqrt{89}\\[/tex]

The distance between the points (1, 5) and (9, 0) is √89 units.

How to determine the distance between the coordinates for each points?

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points (1, 5) and (9, 0) into the distance formula, we have the following;

Distance = √[(9 - 1)² + (0 - 5)²]

Distance = √[(8)² + (-5)²]

Distance = √[64 + 25]

Distance = √89 units.

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can someone please help me with this !!

Answers

Answer:

x=3

Step-by-step explanation:

5/2 ( 3x-1) = 20

Multiply each side by 2/5

2/5 ( 5/2 ( 3x-1) )= 20 *2/5

3x-1 = 8

Add 1 to each side

3x-1+1 = 8+1

3x = 9

Divide each side by 3

3x/3 = 9/3

x =3

So do first what is in the ( ) and at the end when I did the math I got x=3

Choose the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2). 9x3 − 2x − 3 3x3 + 2x + 3 3x3 − 2x − 3 9x3 + 14x + 3

Answers

Answer:

9x3 - 2x - 3.

Step-by-step explanation:

(6x3 − 8x − 5) + (3x3 + 6x +2)

=  6x3 − 8x − 5 + 3x3 + 6x + 2

= 6x3 + 3x3 - 8x + 6x - 5 + 2

= 9x3 - 2x - 3.

Answer:

9x-2x-3

Step-by-step explanation:

I took the test

At a parking lot, the ratio of people to cars is 3 : 5. If there are 30 people, how many cars are there? *

Answers

Answer:

50 cars

Step-by-step explanation:

Let's define p as the number of people and c the number of cars.

We know that p / c = 3/5 or in other words, there are 5 cars every 3 people. If we have 30 people means that p = 30 which implies 30/c = 3/5 which implies c = 5/3 * 30 = 50.

Answer:

Step-by-step explanation:people=30=3/5

30/5=6*3=18

car=30=5/3

30/3=10

10*5=50

so there are 50 cars there

A sample of 500 g of radioactive​ lead-210 decays to​ polonium-210 according to the function A(t)=500e^-0.032t ​, where t is time in years. Find the amount of radioactive lead remaining after ​(a) ​3yr, ​(b) 8​yr, ​(c) 10 yr. ​(d) Find the​ half-life.

Answers

Answer:

Step-by-step explanation:

Using the equation A(t) = 400e-.032t

 

a) replace t with 4 so A(4) = 400e((-.032)(4))

 

The hardest part about this is making sure to use order of operations. Be certain it works like this:

 

A(4) = 400e-.128

A(4) = 400(.8799)

A(4) = 351.9 grams

 

b) A(8) = 400e((-.032)(8)) = 309.7 grams

 

c) A(20) = 400e((-.032)(20)) = 210.9 grams

 

Note here that even after 20 years, not quite half of the original amount is gone. So, we can anticipate that in finding the half life, that our answer should be slightly greater than 20 years.

 

d) 200 = 400e(-.032t)

 

Divide both sides of the equation by 400.

 

.5 = e(-.032t)

 

Change this to logarithmic form.

 

Ln .5 = -.032t

-.6931≈ -.032t

t ≈ 21.7 years

 

Hope this helps!

The amount of radioactive lead,

(a).After 3 years is 454.23 grams

(b).After 8 years is 387.07 grams

(c).After 10 years is 363.07 grams.

(d). half life is 21.66 years.

The decay of radioactive lead is given by function,

                          [tex]A(t)=500e^{-0.032t}[/tex]

The amount of radioactive lead After 3 years is,

             [tex]A(3)=500e^{-0.032*3}=0.908*500=454.23g[/tex]

The amount of radioactive lead After 8 years is,

            [tex]A(8)=500e^{-0.032*8}=500*0.774=387.07g[/tex]

The amount of radioactive lead After 10 years is,

            [tex]A(10)=500e^{-0.032*10}=500*0.726=363.07g[/tex]

Half life is defined as the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay.

So,       [tex]250=500e^{-0.032t}[/tex]

            [tex]e^{-0.032t}=0.5\\\\-0.032t=ln(0.5)\\\\-0.032t=-0.693\\\\t=0.693/0.032=21.66 years[/tex]

Learn more:

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Please help me! This is Algerbra 1

Answers

Answer:

A. x > -1 or x < -1

Step-by-step explanation:

5x - 29 > -34                     or                   2x + 31 < 29

Add 29 to both sides.                             Subtract 31 from both sides.

5x > -5                              or                    2x < -2

Divide both sides by 5.                          Divide both sides by 2.

x > -1                                 or                    x < -1

Answer: x > -1 or x < -1

PLS HELP BRAINLIST A RHANK YOU AND 5 STARS

Answers

Answer:

Hey there!

x=95

This is because x and the angle of 95 degrees are vertical angles, and vertical angles are congruent to each other.

Let me know if this helps :)

1. Create shapes of the given perimeter. Label all sides.
Shapes will vary from student to student. There is not one
correct answer per figure!

# of sides perimeter
5 3inches
4 4feet
3 16.8meters

can someone just help me figure out how to do this? you don't have to give the answer, just explain pls

Answers

Step-by-step explanation:

It looks like you have to draw a figure and then label every side with how long it is.

This first shape is a pentagon because it has 5 sides, and for each side of the pentagon the length would be 3/5 so .6 inches.

The second shape is a square because it has 4 sides, you than would label each side as 1 ft, because when you add them all it equals 4.

The third shape is a triangle with 3 equal sides. When you divide 16.8/3 it shows thag each side of this triangle will be labeled with 5.6 meters.

Which line is parallel to line r? line p line q line s line t

Answers

Answer:

I agree with the other person that Line S is the one parallel to line R.

Step-by-step explanation:

This is because they do not intersect each other and if they were to continue to go on forever, the lines would never intersect. Lines are parallel when they never intersect. Also, there are indication lines that show that the two lines are parallel, you see the arrows that are in the lines.

The line which is parallel to the line r will be line b

What is a line?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Parallel lines are those line which has the same slope or we can say the angle between the parallel line is always zero.

A parallel line is also called for the lines which do not intersect.

From the given question it is clearly visible that line q p t all are intersecting the line r and line s are not intersecting hence, line s will be parallel to the line r.

For more about line

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Simplify 18 - 2[x + (x - 5)].
A) 13 - x
B) 13 - 4x
C) 8 - 4x
D) 28 - 4x

Answers

Answer:

Well the correct answer is −4x+28... But I don't

see that as one of your options. :/

Simplify:

18−2(x+x−5)

Distribute:

=18+(−2)(x)+(−2)(x)+(−2)(−5)

=18+−2x+−2x+10

Combine Like Terms:

=18+−2x+−2x+10

=(−2x+−2x)+(18+10)

=−4x+28

Answer:

−4x+28

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28 - 4x}}}}}[/tex]

Option D is the correct option.

Step-by-step explanation:

18 - 2 [ x + ( x - 5 ) ]

Remove the unnecessary Parentheses

⇒18 - 2 [ x + x - 5 ]

Collect like terms

⇒18 - 2 [ 2x - 5 ]

Distribute 2 through the parentheses

⇒18 - 4x + 10

Add the numbers

28 - 4x

Hope I helped!

Best regards!!

im not that good at maths but i can solve some stuff but some i just have no clue help 5x - 11 =3 [ x - 9]

Answers

Answer:

if im understanding right the answer should be x = -1

Step-by-step explanation:

5x - 11 = 3x - 9

subtract 3x

2x -11 = -9

add 11

2x = -2

divide by 2

x = -1

At a speed of 15 kilometres per hour, it takes me 8 hours to reach at a point. If the time taken by me to reach at same point is 5 hours, then my speed would be

Answers

Answer:

24 kilometers per hour

Step-by-step explanation:

15 kph x 8 h = 120 kilometers

120km/5 hours = 24 kph

Step-by-step explanation:

Hi, there!!!

According to the question,

1st case

At the speed of 15 km/ hr, it takes time 8 hrs to reach a point.

Then, we must find the distance first to calculate your speed in 2nd case,

So, let's find the distance first,

now,

distance (d) = s×t

or, d= 15km/ hr × 8hrs

Therefore, the distance is 120 km.

now,

In 2nd case,

As the question has asked to find speed on same point, it will have same distance covered.

time( t) = 5hrs.

distance (d)= 120km

now,

speed = distance/time taken

or, s= 120 km/5 hrs

or, s = 24km/ hr.

Therefore, your speed in 2nd case will be 24km/hr.

Hope it helps...

Please answer this question now

Answers

Answer:

Surface area of the cone = 1306.24 square centimeters

Step-by-step explanation:

Surface area of a cone is determined from the formula,

Surface area of cone = πr(r + l)

where 'r' = radius of the circular base of the cone

l = lateral height of the cone

And π = 3.14

Surface area of the cone with 'r' = 13 cm and 'l' = 19 cm

Surface area = 3.14(13)(13 + 19)

                     = 3.14(13)(32)

                     = 1306.24 square centimeters

Convert 40.78° to degrees, minutes, and seconds.

Answers

Answer:

Degrees- 40°

Minutes- 46'

Seconds- 48.00"

Step-by-step explanation:

40° + 46'/ 60 + 48.00"/ 3600= 40.78°

Answer:

Step-by-step explanation:

40.78°=40°+0.78°=40°+(78/100)×60=40°+46.8'=40°+46'+0.8'=40°46'+(8/10)×60=40°46'48''

Last year, Marla planted x rows of tomatoes in her garden, and each row has (x + 5) tomatoes. This year she increased the number of rows by 3 and doubled the number of tomatoes in each row. How many more tomatoes did Marla plant this year than last year?

Answers

Answer:

8

Step-by-step explanation:

rows=x

each row=(x+5) tomatoes

she increased the number of rows by 3

and doubled the number of tomatoes in each row

3multiplied by x=3x

(2x+10) because she doubled them

3x+10÷2x

=8

I've tried I hope this helps

Find the measure of f.

Answers

Answer:

44 degrees.

Step-by-step explanation:

The 3 small triangles are isosceles  so m < a = m < b , therefore

m < a = (180 - 92) / 2 = 44 degrees.

m < f = m < a ( they are both subtended on the circle by the same chord (cd)),

So m < f = 44.

Point M is on line segment LN. Given LM=7 and MN=10, determine the length LN.

Answers

Answer:

[tex]\huge \boxed{17}[/tex]

Step-by-step explanation:

Point M is on the line segment LN.

LM = 7

MN = 10

LN = LM + MN

LN = 7 + 10 = 17

The value of the line segment LN is 17.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that point, M is the online segment LN. Given LM=7 and MN=10,

The value of the line segment will be calculated as:-

Point M is on the line segment LN.

LM = 7

MN = 10

LN = LM + MN

LN = 7 + 10 = 17

Therefore, the value of the line segment LN is 17.

To know more about line segments follow

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Simplify: 5 - 2(3 + 4)

Answers

Answer:

-9

Step-by-step explanation:

Hey there!

Well, to simplify,

5 - 2(3 + 4)

Wel need to use PEMDAS,

3+4=7

7 * -2 = -14

5 - 14 = -9

Hope this helps :)

Answer:

-9

Step-by-step explanation:

[tex]5 - 2(3+4)\\5 - 2(7)\\5 - 14\\-9[/tex]

Given the equations of a straight line f(x) (in slope-intercept form) and a parabola g(x) (in standard form), describe how to determine the number of intersection points, without finding the coordinates of such points. Do not give an example.

Answers

Answer:

Step-by-step explanation:

Hello, when you try to find the intersection point(s) you need to solve a system like this one

[tex]\begin{cases} y&= m * x + p }\\ y &= a*x^2 +b*x+c }\end{cases}[/tex]

So, you come up with a polynomial equation like.

[tex]ax^2+bx+c=mx+p\\\\ax^2+(b-m)x+c-p=0[/tex]

And then, we can estimate the discriminant.

[tex]\Delta=(b-m)^2-4*a*(c-p)[/tex]

If [tex]\Delta<0[/tex] there is no real solution, no intersection point.

If [tex]\Delta=0[/tex] there is one intersection point.

If [tex]\Delta>0[/tex] there are two real solutions, so two intersection points.

Hope this helps.

Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segment in the ratio of 5:2. A. (-5, -15) B. (-23, -5) C. (-13, -7) D. (-11.5, -2.5)

Answers

Answer:

C. (-13, -7)

Step-by-step explanation:

The location of a point O(x, y) that divides a line AB with location A[tex](x_1,y_1)[/tex] and B[tex](x_2,y_2)[/tex] in the ratio m:n is given by:

[tex]x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1[/tex]

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

[tex]x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7[/tex]

Therefore the coordinates of point X is at (-13, -7)

If f(x) = 4x + 15, then f(-3) = ?

Answers

Answer:

[tex]\Huge \boxed{3}[/tex]

Step-by-step explanation:

The function is given :

f(x) = 4x + 15

For f(-3), the input for the function f(x) is -3.

Replace the x variable with -3.

f(-3) = 4(-3) + 15

Evaluate.

f(-3) = -12 + 15

f(-3) = 3

The output for f(-3) is 3.

Answer: f(-3) = 3

Step-by-step explanation: Notice that f is a function of x.

So we want to find f(-3).

We find f(-3) by plugging -3 in for x,

everywhere that x appears in the function.

So we have 4(-3) + 15.

4(-3) is -12 so we have -12 + 15 which is 3.

So f(-3) is 3.

Convert 11.42424242 … to a rational expression in the form of a over b, where b ≠ 0.

11 and 42 over 9999
11 and 42 over 9999
11 and 42 over 99
11 and 99 over 42

Answers

[tex]x = 11\frac{42}{99} [/tex]

Step-by-step explanation:

[tex]11.42424242.... = 11. \overline{42} \\ let \: x = 11. \overline{42} .....(1)\\ 100x = 1142.\overline{42}....(2) \\ subtracting \: (1) \: from \: (2) \: \\ 100x - x = 1142.\overline{42} - 11. \overline{42} \\ 99x = 1131 \\ x = \frac{1131}{99} \\x = 11\frac{42}{99} \\ [/tex]

Answer: C

Step-by-step explanation: I did the test

The ratio of the units digit to the tens digit of a two-digit number is one-half.The tens digit is 2 more than the units digit. Find the number.

Answers

Answer:

Number : 42

Step-by-step explanation:

This number will be a two - digit number, and hence we can say that it is yz. The ratio of the units digit to the tens digit is given by 1 / 2, so z / y = 1 / 2.

In addition the tens digit is 2 more than the units digit, so y = z + 2. We therefore have the following system of equations,

y = z + 2,

z / y = 1 / 2

Substituting the first equation into the second we receive z / z + 2 = 1 / 2. Using this we can solve for z.

z / z + 2 = 1 / 2 ( Cross - Multiply )

z + 2 = 2z, z = 2

And knowing z we can solve for y. y = z + 2 = 2 + 2 = 4. Therefore our number is 42.

Divide the sum of (-5), (-10) and (-9) by the product of 2 and (-3).

Answers

Answer:

[tex]\large \boxed{4}[/tex]

Step-by-step explanation:

[tex]\sf The \ sum \ of \ -5, \ -10, \ and \ -9 \ is \ divided \\ by \ the \ product \ or \ multiplication \ of \ 2 \ and -3.[/tex]

[tex]\displaystyle \frac{-5+-10+-9}{2 \times -3}[/tex]

[tex]\displaystyle \frac{-24}{-6}[/tex]

[tex]=4[/tex]

Answer:

4

Step-by-step explanation:

-5+(-10)+(-9)/2*(-3)

=-5-10-9/-6

=-24/-6

=4

Simplify the following expression. (10-4i)(4-5i)+(-15+20i)

Answers

Answer:

5-46i

Step-by-step explanation:

1. Multiply (10-4i) and (4-5i), I recomnd using foil:

40-50i-16+20i^2 + (-15+20i)

2. Remove the parenthesis around -15+20i

*we can do this since there is a "+":    

40-50i-16+20i^2 + (-15)+20

3. Simplify i^2

* i^2 is -1 by textbook defination:

40-50i-16+20(-1) + (-15)+20

4. Simplify

40-50i-16-20 + (-15)+20

6. Combine like terms:

-5-50i-16i+20i

5-46i

And the problem is done

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Need Help Please Show Work How do you find x when knowing the probability? A laboratory electromagnet produces a magnetic field of magnitude 1.38 T. A proton moves through this field with a speed of 5.86 times 10^6 m/s. a. Find the magnitude of the maximum magnetic force that could be exerted on the proton. b. What is the magnitude of the maximum acceleration of the proton? c. Would the field exert the same magnetic force on an electron moving through the field with the same speed? (Assume that the electron is moving in the direction as the proton.)1. Yes2. No Fresh Veggies, Inc. (FVI), purchases land and a warehouse for $410,000. In addition to the purchase price, FVI makes the following expenditures related to the acquisition: broker's commission, $21,000; title insurance, $1,100; and miscellaneous closing costs, $4,200. The warehouse is immediately demolished at a cost of $21,000 in anticipation of building a new warehouse. Determine the amount FVI should record as the cost of the land. The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the The area of the sail is 68 square feet, find its height and the length of the base. Vehicle license plates and registrations must berenewed(a) every year(b) every two yearseither (a) or (b)every three years llinois Furniture, Inc., produces all types of office furniture. The "Executive Secretary" is a chair that has been designed using ergonomics to provide comfort during long work hours. The chair sells for $130. There are 480 minutes available during the day, and the average daily demand has been 48 chairs. There are eight tasks: Consider the following reaction at 298.15 K: Co(s)+Fe2+(aq,1.47 M)Co2+(aq,0.33 M)+Fe(s) If the standard reduction potential for cobalt(II) is 0.28 V and the standard reduction potential for iron(II) is 0.447 V, what is the cell potential in volts for this cell? Report your answer with two significant figures. Write a complex sentence Just a random complex sentence. Asap please and thank you Please reply to please!!!!No.11-14Thank you in advance:) examples of government in your daily life? Sally is swimming in a race that has 5 laps. Swimming 2 lengths of the poolcounts as one lap. If Sally is halfway through the fourth lap, what fractionalpart of the total laps in the race is left for Sally to finish? A concave mirror has a radius of curvature of 80cm. If the real image of an object is formed at 1m, how far from the mirror is the object? What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please! How would you write Five times the difference of a number and 7 Which of the following helped African Americans and others move to thewestern United States?A. The Fourteenth AmendmentB. The Declaration of IndependenceO c. The Homestead Act of 1862D. The Enforcement Acts You are hiking in a canyon and you notice an echo. You decide to let out a yell and notice it took 2 seconds before you heard the echo of your yell. How far away is the canyon wall that reflected your yell n the cash flow information for the Ping Kings project, Ping spent $300,000 for research and development of the golf clubs. Ping's tax rate is 40%. How much of this cost should be included in the initial (t = 0) cash flow for this project One of the students in the class scored 100 on the midterm but got overconfident, slacked off, and scored only 15 on the final exam. No other student in the class "achieved" such a dramatic turnaround. If the instructor decides not to include this students scores when constructing a new regression model, will the slope of the new line increase or decrease? No, the graph suggests that the increase in adoptions from 2000 to 2005 was less significant than it actually is. No, the graph suggests that the increase in adoptions from 2000 to 2005 was more significant than it actually is. Yes, the graph fairly and accurately depicts the data in an objective manner.