Please Help ASAP!
Select the situations that represent a function. (A,B,C,D)

Please Help ASAP!Select The Situations That Represent A Function. (A,B,C,D)

Answers

Answer 1

Answer:

A and B both have an input that has multiple outputs so the answer is C and D.


Related Questions

Please help me with my question!!

Answers

Answer:

C

Step-by-step explanation:

Equation:

[tex]\frac{x}{-2}+\frac{y}{10}=1\\\\\frac{x*5}{-2*5}+\frac{y}{10}=1\\\\\frac{-5x}{10}+\frac{y}{10}=1\\\\-5x+y=10\\\\y=5x+10[/tex]

A boy is playing ball in a garden surrounded by a wall 2.5 m high kicks the ball vertically up from a height of 0.4 m with a spee d of 14 m/s.For how long is the ball above the height of the wall .

Answers

Answer:

2.5 sec

Step-by-step explanation:

Height of wall = 2.5 m

initial speed of ball = 14 m/s

height from which ball is kicked = 0.4 m

we calculate the speed of the ball at the height that matches the wall first

height that matches wall = 2.5 - 0.4 = 2.1 m

using [tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as

where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)

[tex]V^{2}[/tex] = [tex]14^{2}[/tex] + 2(-9.81 x 2.1)

[tex]V^{2}[/tex] = 196 - 41.202

[tex]V^{2}[/tex] = 154.8

v = [tex]\sqrt{154.8}[/tex] = 12.44 m/s

this is the velocity of the ball at exactly the point where the wall ends.

At the maximum height, the speed of the ball becomes zero

therefore,

u = 12.44 m/s

v = 0 m/s

a = -9.81 m/s^2

t = ?

using V = U + at

0 = 12.44 - 9.81t

-12.44 = -9.81

t = -12.44/-9.81

t = 1.27 s

the maximum height the ball reaches will be gotten with

[tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as

a = -9.81 m/s^2

0 = [tex]14^{2}[/tex] + 2(-9.81s)

0 = 196 - 19.62s

s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.

height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m

we calculate for the time taken for the ball to travel down this height

a = 9.81 m/s^2 (positive in downwards movement)

u = 0

s = 7.49 m

using s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]

7.49 = (0 x t) +  [tex]\frac{1}{2}[/tex](9.81 x [tex]t^{2}[/tex] )

7.49 = 0 + 4.9[tex]t^{2}[/tex]

[tex]t^{2}[/tex]  = 7.49/4.9 = 1.53

t = [tex]\sqrt{1.53}[/tex] = 1.23 sec

Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec

The members of a basketball team need to
raise $895 for new uniforms. They already
have $351 from food sales. To raise the
remainder, they are planning a shoot-out
challenge. If 34 teams sign up, how much
must they charge per team to meet their
goal?

Answers

Answer:

$16

Step-by-step explanation:

First subtract $351 from $895 to find the dollar amount we're considering.

($895 - $351 = $544)

Then, divide the 34 teams into the $544 to yield the dollar amount each team should be charged.  ($544 / 34 = $16)

8y⁷÷4y⁵ what is this answer ​

Answers

Answer:

Step-by-step explanation:

Terms with the exponents are like terms, we can subtract the exponents from each other when we divide.

(8y^7)/(4y^5) = 2y^(7-5) = 2y^2

Answer: [tex]2y^{2}[/tex]

Step-by-step explanation:

8/4=2

[tex]y^{7} / y^{5} =y^{7-5} =y^{2}[/tex]

so the answer is 2y^2

What are the zeros of the function g(x)=2(x+2)(x-9) located at

Answers

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is

2(x + 2)(x - 9) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

What is the zeros and y-intercept of a function?

Zeros is the Intersection points of the considered function's curve on input axis(usually represented by values of x)

y-intercept = Intersection points of the considered function's curve on output axis. On x-axis, value of y-coordinate is 0, On y-axis, value of x-coordinate is 0.

Thus, if function is y=f(x) then putting y = 0 gives zeros of the function.

And putting x = 0 gives the y-intercept of the function. (if any, for both cases).

Given the function as;

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is;

2(x + 2)(x - 9) = 0

Then Equate each factor to zero and solve for x;

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

Hence, the zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

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Is -415 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

Can convert it to a ratio (-415/1)

Answer:

Rational

Step-by-step explanation:

-415 is an integer. All integers are rational. It can be written as a fraction p/q, where p and q are integers and q is not equal to zero.

-415 can be written as [tex]-\frac{415}{1}[/tex].

A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply. The sphere has a diameter of 8 in. The volume of the sphere is . The sphere has a diameter of 32 in. The radius’s length is one-half the length of the diameter. The volume of the sphere is . The diameter’s length is one-half the length of the radius.

Answers

Answer:

The sphere has a diameter of 32 in.

The radius’s length is one-half the length of the diameter.

Step-by-step explanation:

The diameter is the measurement of the line that starts at one end of a circle or a sphere and ends at the other end.

The radius is half the diameter. The radius goes from one end of the circle or sphere to the center.  

So, if a sphere has a radius of 16 inches, it would have a diameter of 32 inches.

16 * 2 = 32

I cannot see the volume of the sphere.

[tex]V = \frac{4}{3}\pi r^3[/tex]

Using 3.14 for pi and 16 for 'r':

[tex]4/3 * 3.14 * 16^3\\\\4/3*3.14 *4096\\\\4.1866...*4096\\\\17148.3136[/tex]

The volume of the sphere is about 17148 cubic centimetres.

Answer:

c

Step-by-step explanation:

i did the test

Use set notation to denote the elements, subsets, and complements of the following given sets.
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N.
N = {13, 15, 17, 19)
N = {12, 14, 16, 18, 20}
N- {11, 12, 14, 16, 18, 20, 21)
N = {11, 13, 15, 17, 19, 21}

Answers

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

We are given with the following details:

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

To write: The set notation for the elements of set N.

Solution:

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the answer will be N = {13,15,17,19}.

Analyze the set below and answer the question that follows. (KUM) n (KUL) Which Venn diagram has shading that represents the given set?

Answers

Answer:

Choice A. The shading in the Venn Diagram shown in the first attachment represents the set [tex](K \cup M) \; \cap \; (K \cup L)[/tex].

Step-by-step explanation:

Let [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex] be sets. By the distributive law of sets, [tex]A \cup (B \cap C)[/tex] and [tex](A \cup B) \cap (A \cup C)[/tex] refer to the same set.

Apply this property to simplify the given expression:

[tex]\begin{aligned}(K \cup M) \; \cap\; (K \cap L) = K\cup (M \cap L)\end{aligned}[/tex]

[tex]M \cap L[/tex] refers to the intersection between the two lower circles. The union of that intersection with set [tex]K[/tex] (the upper circle) would be the shaded region seen in choice A.

Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Since length times width = the area, you know that the area divided by the length is the width. This means that 6x^2 + 10 / 2 = the length.

6x^2 / 2 = 3x^2

10/2 = 5

You end up with 3x^2 + 5 as the length.

Answer & Step-by-step explanation:

Since you trying to find the width when you are given the length and the area, then you are going to divide the area by the length to get the width.

(6x² + 10) ÷ 2

We can also put this into a fraction so it will be easier to know what you are dividing.

[tex]\frac{6x^2+10}{2}[/tex]

Divide 6x² by 2 and divide 10 by 2. Keep the exponent because 2 does not have a variable.

So, your width will be 3x² + 5

Analyze the diagram below and complete the instructions that follow.
N
In the diagram, 212 22 22 = 23, and m41 = 609. Give the reasons that best support the following statements used to show
that m43 = 60°
1. 21 = 22 and 22 = 23; therefore, 2133
2. m 1 = 60° and 2123; therefore, 60° =m23
3. 60º = m/3; therefore, mx3 = 60°
Save and Exit
Next
Submit
Mark this and return

Answers

We are given the information that angle one = equal to angle two = angle three
So, if angle one is 60 degrees, then angle three must be 60 degrees
This is because angle one is equal to angle three
So, whatever value angle one is, angle three will always be that value because they are equal to each other

Therefor,e your answer is option a

Can someone please help me.

Answers

Answer:

96

Step-by-step explanation:

Because math

The Answer to this is 96

What is the area of a rectangle with length (3^2)^2 meters and width of 3^2 meters?

Answers

Answer:

729m^2

Step-by-step explanation:

Area of rectangle  = length x width

From the question, we know that length = 3^2^2 = 81 ( three squared is 9. Nine squared is 81)

width = 3^2 = 9.

Now for the area: length x width = 81 x 9 = 729m^2.

Please mark brainiest.

Area of the rectangle is length * breadth
So,
Here, length given is [3^2]^2 = 3^4 which is = 81
Width is 3^2 which is = 9

Therefore,

l*b= 81*9=729

Answer is 729 m^2




Hope it helps!

For the graph of the rational function
f(x)=x^2-15+56 over
x+7, identity all discontinuities as either a removable discontinuity or a vertical asymptote

A.removable discontinuity at x=-7

B. Vertical asymptote is x=7

C.vertical asymptote is at x=-7

D. Removable discontinuity at x=7

Answers

If it’s wrong I’m sorry but I think it’s A!!

Sue invests £9000 in an account for one year.
At the end of the year, interest is added to her account.
Sue pays tax on this interest at a rate of 20%
She pays £30.24 tax.
Work out the percentage interest rate for the account.

Answers

Answer:

£151.20

Step-by-step explanation:

20%= 100%divided by 5

To find 100% from 20% you x by 5

so you times 30.24 by 5

30.24x 5 = 151.2

So the answer is £151.20

interest percentage rate would be 1.6754%

The interest rate for the account is 1.68%

What is interest rate?

The interest rate is the amount a lender charges a borrower and is a percentage of the principal the amount loaned.

Given that,

Sue invests £9000 in an account for one year.

She pays £30.24 at a rate of 20%

So, 20% of the interest = £30.24

Let the interest be x,

X0.2 = 30.24

X = £151.2

The total interest was = £ 151.2

The rate R at which generated this interest =

R = (100 × 151.2)/(1 × 9000)

R = 15120/9000

R = 1.68%

Hence, the interest rate = 1.68%

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If /61 is the longest side length in the triangle, find the value of x that makes the triangle above a right triang
answer in simplest radical form.
A. 5
B. 6
C. 2V15
D. 6V10

Answers

Answer:

A. 5

Step-by-step explanation:

The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.

From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:

(√61)² = (x)² + (x + 1)²

x² + x² + 2x + 1 = 61

2x² + 2x + 1 - 61 = 0

2x² + 2x -60 = 0

Dividing through by 2 gives:

x² + x - 30 = 0

x² + 6x - 5x - 30 = 0

x(x + 6) -5(x + 6) = 0

(x-5)(x+6) = 0

x-5 = 0 or x+6 = 0

x = 5 or x = -6

Since the length of a side cannot be negative, x = 5 units

Answer:

The correct answer is A.

Step-by-step explanation:

X=5

f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2) = g(0)

Answers

Answer:

f(-2) = g(-2)

Helen and her sister started watching a cartoon movie at 10:26 A.M. The movie was 2 hours and 51 minutes long. After the movie, they played a card game for 32 minutes and then played soccer in the backyard for 1 hour and 6 minutes. What time was it when Helen and her sister finished playing soccer?

Answers

Answer:

2:55 P.M

Step-by-step explanation:

After the movie: 10:26 A.M. + 2 hours and 51 minutes --> 1:17 P.M.

After the card game: 1:17 P.M. + 32 minutes --> 1:49 P.M.

After playing soccer: 1:49 P.M. + 1 hour and 6 minutes --> 2:55 P.M.

If 65% of the light are on what percent of the lights are off

Answers

Answer:

since 100% is everything

100 - 65 = 35%

Step-by-step explanation:

35% of the lights are off

Answer:

35% are off

Step-by-step explanation:

The lights are either on or off

That is 100%

100 -65 = 35

65% are on

35% are off

NEED HELP ASAP! Arianna correctly simplified an expression. When she substituted \ into the simplified expression, the value was –4. Which could be Arianna’s original expression? One-sixth (negative 3 x minus 24) One-sixth (negative 5 x minus 8) One-sixth (negative 10 x minus 4) One-sixth (negative 12 x minus 16).

Answers

Answer:

(1/6)(-10x - 4) = -4

Step-by-step explanation:

(1/6)(-3x - 24) = -4

=> -3x - 24 = -4 x 6

=> -3x - 24 = -24

=> -3x = 24 - 24

=> -3x = 0

=> x = 0 (not 2) => Incorrect option

(1/6)(-5x - 8) = -4

=> -5x - 8 = -4 x 6

=> -5x - 8 = -24

=> -5x = 8 - 24

=> -5x = -16

=> x = 16/5 (not 2) => Incorrect option

(1/6)(-10x - 4) = -4

=> -10x - 4 = -4 x 6

=> -10x - 4 = -24

=> -10x = 4 - 24

=> -10x = -20

=> x = 2 => Correct option

(1/6)(-12x - 16) = -4

=> -12x - 16 = -4 x 6

=> -12x - 16 = -24

=> -12x = 16 - 24

=> -12x = 8

=> x = -3/4 (not 2) => Incorrect option

=> Option C is correct

Hope this helps!

Answer: C. One-sixth (negative 10 x minus 4)

Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!

The standard form of the equation of a parabola is y=1/2x^2 - 4x+21. What is the vertex form of the equation?

Answers

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number by 18. Find the original numbers.

Answers

Answer: Dear friend my answer for this question is 86.

Step-by-step explanation:Let the two digits of two digit number be, 10s digit x and 1s digit y.

x + y = 14

x = 14 - y…..Eq..1

The nuber formed is 10x + y

If the number formed by reversing the digits is 18 less than the original number, what is the original number

On reversing the digit the number will be 10y + x

10y + x + 18 = (10x + y)

10y + x = 10x + y - 18

10y - y + x - 10x = - 18

9y - 9x = -18…Eq..2

Now substituting the value of x from Eq..1 to Eq..2

9y - 9 (14 - y) = - 18

9y - 126 + 9y = - 18

18y = 126 - 18

18y = 108

y = 108/18

y = 6

Thus 1s digit if the number is 6

Substituting the derived value of y in Eq..1 to derive value of x.

x = 14 - y

x = 14 - 6

x = 8

The 10s digit if two digit number is 8.

The original number formed is 86.

On reversing the digits, the number transform to 68, which is 18 less than original number

Answer the original number is 86.

Find the lowest common multiple (LCM) of 6, 10 and 14. *
2 points
A. 30
B. 140
C. 210
D. 280

Answers

Answer:

C. 210

Step-by-step explanation:

Plugging it in directly

30/14=2.14 (not an integer)

140/6=23.33 (not an integer)

210/6=35

210/10=21

210/14=15

all of the above result in integers, so the answer is C.

D is not even checked because it is larger than 210

Two options:

First option - list everything (waste time)

6, 10, and 14

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210

10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210

14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210

Second option - divide each option by the numbers to see if a whole number is the outcome.

30 / 6 = 5
30 / 10 = 3
30 / 14 = 2.14...

140 / 6 = 23.33...

210 / 6 = 35
210 / 10 = 21
210 / 14 = 15

Answer = C. 210

. 4/18 times 2/92. 1/9 times 3/63. 12/14 times 1/84.1/7 times 5/65. 17/20 times 1/61. 4 1/4 times 3 1/22. 3 5/6 times 4 1/23. 2 1/2 times 4 7/84.3 3/5 times 2 3/85. 3 1/2 times 3 3/8Whoever can solve at least 2 from each set is awesome!

Answers

Answer:

Step-by-step explanation:

4/18×2/92

=1/9×1/23

=1/207

1/9×3/63

=1/3×1/23

=1/69

12/14×1/84

=1/14×1/7

=1/98

1/7×5/65

=1/7×1/13

=1/91

17/20×1/61

=17/1220

4 1/4 ×3 1/22

=17/4×67/22

=1,139/88

=12 83/88

3 5/6×4 1/23

=23/6×93/23

=93/6

=15 3/6

=15 1/2

2 1/2×4 7/84

=5/2×343/84

=1715/168

=10 35/168

I have answered more than 2 from each set

Find the y-intercept of the following equation. Simplify your answer.

y = 6x + 4


y-intercept =

Answers

Answer:

The slope is 6 and the y intercept is 4

(0,4)

Step-by-step explanation:

y = 6x + 4

This is in the form y = mx+b

where m is the slope and b is the y intercept

The slope is 6 and the y intercept is 4

(0,4)

Choose the kind(s) of symmetry: point, line, plane, or none.
(A)
none
plane
point
line

Answers

it would be a Line  

The line would be vertical right through the middle

can i get brainliest?

555 times 5
no explanation please

Answers

Answer:

2775

Step-by-step explanation:

There are 40 nickels in a roll. If you have 250 rolls of nickels, how many nickels do you have?pls help me

Answers

Answer:

10,000 nickles

Step-by-step explanation:

Since there are 40 nickles in a roll and you have 250, think that you have 250 sets of 40. This means that this question is a multiplication problem.

Multiply 40 x 250. This would give you 10,000.

Don't forget units.

The number of nickels in 250 rolls is 10000

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here, There are 40 nickels in a roll. If I have 250 rolls of nickels, then the number of nickels in total is = 250×40

                                                     = 10000

Hence, The number of nickels in 250 rolls is 10000

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Find the length of a. The length of the of the unknown leg is?

Answers

Answer:

10

Step-by-step explanation:

Pythagorean theorem

c² = a² + b²

26² = a² + 24²

a² = 26² - 24² = 100

a = √(100) = 10

The length of unknown leg will be a = 10 units

ConceptThe right angle triangle is given and the length of one side and length of hypotenuse are givenWe have to find the length of second sideSince the triangle given is right angle triangle we will use pythagorean theorem to find the length of third side.

How to solve this problem?

The steps are as follow:

The length of first side is 24 units and length of hypotenuse is 26 units and the second side is unknown which is taken as 'a' According to pythagorean theorem:

(hypotenuse)^2 = (Side)^2 + (Side)^2

(26)^2 = (24)^2 + (a)^2

676 = 576 + (a)^2

(a)^2 = 676 - 576

(a)^2 = 100

a = 10 units

So the length of unknown leg will be a = 10 units

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Please help there’s a picture to explain more
110
70
X=?

Answers

Answer:

Step-by-step explanation:

110 = 70 + X [ extarior angle property]

or, 110 - 70 = X

or , 40 = X

HOPE IT HELPS ...

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You are on a TV show. You have been asked to either play a dice game five times or accept a $50 bill. The dice game works like this. If you roll a 1, 2 or 3, you win $50. If you roll a 4 or 5, you lose $20. If you roll a 6, you lose $90.EV= $ Which of the following options represents a logical first step that can be usedto prove the trigonometric identitycos(x)/ cos(x)+sin(x)tan(x)=cos^2(x)? the tropic of cancer does not pass through?rajisthanchhatisgarhorissa tripura What was one of Thurgood Marshalls major achievements? A. organizing the Montgomery bus boycott B. founding the National Association for the Advancement of Colored People C. winning the Brown v. Board of Education Supreme Court case D. defending the Little Rock Nine Which statement describes Ayatollah Khomeini?O He served as the last shah of Iran.O He became the first president of Turkey.He helped found the Muslim Brotherhood.O He declared Iran to be an Islamic republic. Prepare journal entries to record the following transactions entered into by the Merando Company: 2016 June 1 Received a $10,000, 6%, 1-year note from Dan Gore as full payment on his account. Nov. 1 Sold merchandise on account to Barlow, Inc., for $14,000, terms 2/10, n/30. Nov. 5Barlow, Inc., returned merchandise worth $1,000. Nov. 9 Received payment in full from Barlow, Inc. Dec.31 Accrued interest on Gore's note. 2017 June 1 Dan Gore honored his promissory note by sending the face amount plus interest.Date Account Title and Explanation Debit Credit Which of the following may be a reason whyRhode Island was unwilling to ratify theConstitution so quickly?A. The Constitution was supported by the AntifederalistsB. It did not want to be the first small state to ratify theConstitutionC. It was concerned about how small states were going to beimpacted in regard to state's rights What is the height of the pyramid?? A new post-surgical treatment is being compared with a standard treatment. Seven subjects receive the new treatment, while seven others (the controls) receive the standard treatment. The recovery times, in days, are given below. Treatment: 12 13 15 19 20 21 24 Control: 18 23 24 30 32 35 39Required:Find a 98% confidence interval for the difference in the mean recovery times between treatment and control. If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?The figure must be an isosceles trapezoid because it has 2 congruent base angles.The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry.The figure could be a rhombus because the 2 lines of symmetry bisect the angles.The figure could be a square because the diagonals of a square bisect the right angles. What are the four ways drugs can affect the nervous system? que emociones eestas experomentandoen este aislamirnto social what did Plymouth suffered from? A. 5pi/6B. 8pi/6C. 3pi/6D. 13pi/6 The HCF of two numbers is 11, and their L.C.M is 368. If one number is 64, then the other number is . A train takes 2h to reach station B from station A and 3h to return back to A.The distance between the station is 200km, then its average speed would be Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!! Skin from (a) dorsum left wrist and (b) left forearm, ulnar, near elbow. Clinical Diagnosis: Bowen disease versus basal cell carcinoma versus dermatitis Microscopic Description: (a) There is a mild hyperkeratosis and moderate epidermal hyperplasia with full-thickness atypia of squamous keratinocytes. Squamatization of the basal cell layer exists. A lymphocytic inflammatory infiltrate is present in the papillary dermis. Solar elastosis is present. (b) Nests, strands, and columns of atypical neoplastic basaloid keratinocytes grow down from the epidermis into the underlying dermal. Fibroplasia is present. Solar elastosis is noted. Determined to test the law of gravity for himself, a student walks off a skyscraper 180 m high, stopwatch in hand, and starts his free fall (zero initial velocity). Five seconds later, Superman arrives at the scene and dives off the roof to save the student.a) Superman leaves the roof with an initial velocity that he produces by pushing himself downward from the edge of the roof with his legs of steel. He then falls with the same acceleration as any freely falling body. What must the value of the initial velocity be so that Superman catches the student just before they reach the ground?b) On the same graph, sketch the positions of the student and of Superman as functions of time. Take Superman's initial speed to have the value calculated in part (a).c) If the height of the skyscraper is less than some minimum value, even Superman can't reach the student before he hits the ground. What is this minimum height? What do Lenin and Hitler have in common?