Can anyone state the vertex of the graph?

Can Anyone State The Vertex Of The Graph?

Answers

Answer 1

The graph has no vertex

The transformations from the parent function are

Vertical shift down 2Horizontal shift left 4

How to determine the vertex?

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

The transformation

Here, we have:

The graph is translated 4 units to the left of the origin The graph is translated 2 units below the origin

This transformation can be represented as (x - 4, y - 2)

Read more about vertex and transformations at

brainly.com/question/15709421

brainly.com/question/4289712

#SPJ1


Related Questions

Trevor and Michael are hosting a banquet. They plan to spend $400, plus or minus $50, at a cost of $25 per guest. Solve |25x-400| = 50 to find the maximum and minimum number of guests. If there can be up to 7 guests at each table, what is the minimum number of tables Trevor and Michael should reserve so that every guest has a seat?

Answers

Answer:

to find the max number of guests:

25x-400 = 50

25x = 50 + 400

25x + 450

then divide

x = 450/25

x = 18

to find the min number of guests:

25x = 400 - 50

25x = 350

then divide

x = 350/25

x = 14

Minimum number of tables reserved:

is dividing the max/7 per table

x = 18/7

x = 3

Step-by-step explanation:

The garden club at Central Middle School is planting a flower bed. A scale drawing of the flower bed is shown. The scale is 1 in. : 2 ft.

Answers

Answer:

16 and 12

Step-by-step explanation:

A.1 IN=2FT

8IN =2(8)FT

= 16

B.1 IN=2FT

6IN=2(6)FT

=12 FT

i took a sample of the grade point averages for students in my class. for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89. the standard error for the sample was:

Answers

The standard error for the sample was 0.13 when "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89."

What is standard error?

The standard deviation of a statistic's sampling distribution, or an estimate of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean. By dividing the standard deviation by the square root of the sample size, the standard error is determined. By taking into account the sample-to-sample variability of the sample means, it provides the precision of a sample mean.

Here,

The standard error=standard deviation/√number of samples

=0.65/√25

=0.65/5

=0.13

When "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89," the standard error for the sample was 0.13.

To know more about standard error,

https://brainly.com/question/13905583?referrer=searchResults

#SPJ4

subtract 2w+4 from 2w-6 show your work

Answers

Answer:

10

Step-by-step explanation:

(2w + 4) - (2w - 6)

2w + 4 - 2w + 6

2w - 2w + 4 + 6

10

I hope this helps!

Evalúa \dfrac{2}{5}g+3h-6
5
2

g+3h−6start fraction, 2, divided by, 5, end fraction, g, plus, 3, h, minus, 6 cuando g=10g=10g, equals, 10 y h=6h=6h, equals, 6

Answers

The value of the algebraic expression 2/5g + 3h - 6 if evaluated when g = 10 and h = 6 is 16.

How to evaluate algebraic expression?

2/5g + 3h - 6

When g = 10 and h = 6

Substitute the value of g and g into the expression

2/5g + 3h - 6

2/5(10) + 3(6) - 6

open parenthesis

20/5 + 18 - 6

4 + 18 - 6

16

In conclusion, the value of the expression 2/5g + 3h - 6 when evaluated is given by 16

Complete question:

Evaluate 2/5g + 2h - 6 start fraction, 2, divided by, 5, end fraction, g, plus, 3, h, minus, 6 when g=10 g, equals, 10 and h=6 h, equals, 6

Read more on algebraic expression:

https://brainly.com/question/15280356

#SPJ1

First, complete the story below so that it can be represented by the equation 5000-50x=4800-30x

Pool A started with 5000 liters of water, and 50 liters per minute are being (Drained out or Pumped back in)
Pool B started with 4800 liters of water, and 30 liters per minute are being (Drained out or Pumped back in)

The amount of water after x minutes is more in which pool? Pool A or Pool B?

Answers

Amount of water after x minutes is more in pool B.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Pool A started with 5000 liters of water, and 50 liters per minute are being.

Pool B started with 4800 liters of water, and 30 liters per minute are being.

5000-50x=4800-30x

Add 30x on both sides

5000-50x+30x=4800-30x+30x

5000-20x=4800

5000-4800=20x

200=20x

Divide both sides by 20

20=x

Now substitute x in pool A equation

5000-50x

5000-50(20)=5000-1000

Pool A =4000

Now substitute x in pool B equation

4800-30x

4800-30(20)

4800-600

Pool B =4200

4200>4000

Pool B> Pool A

Hence amount of water after x minutes is more in pool B.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

What are the domain and range of the function?
f(x) = -4√x

Answers

The domain is x [tex]\geq[/tex] 0. interval notation:  [0,[tex]\infty[/tex])

the range is f(x)≤0, interval notation:  (-[tex]\infty[/tex],0 ]

What are the domain and range of a function?

The domain is the set of all x-values that can be used to make the function "work" and produce actual y-values.

A function's range is the variety of conceivable y-values (minimum y-value to maximum y-value)

Find domain:

Set the term under the square root [tex]\geq[/tex]0

So, the domain is x [tex]\geq[/tex] 0. interval notation:  [0,[tex]\infty[/tex])

Find range:

The range of a radical function of the form -c√(ax+b) +k is f(x)≤k

So, the range is f(x)≤0

interval notation:  (-[tex]\infty[/tex],0 ]

To learn more about the domain and range from the given link

https://brainly.com/question/2264373

#SPJ1

Square root five as a decimal 

Answers

To get the answer go to desmos

Answer:

2.2360679775 or 2.24

angelina drove at an average rate of 80 kmh and then stopped 20 minutes for gas. after the stop, she drove at an average rate of 100 kmh. altogether she drove 250 km in a total trip time of 3 hours including the stop. which equation could be used to solve for the time t in hours that she drove before her stop?

Answers

The equation that could be used to solve for the time t in hours that she drove before her stop is 80t + 100(8/3 - t) = 250.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let t = time she drove before her stop

If the total trip time is 3 hours including the stop, which took 20 minutes, then the time she drove after the stop is 3 - t - 1/3 or 8/3 - t.

If altogether she drove a distance of 250 km, then the sum of the products of the rate of speed and time each drive is equal to 250.

(80 km/h)(t) + (100 km/h)(8/3 - t) = 250

Simplify the equation.

80t + 100(8/3 - t) = 250

Learn more about equation here: brainly.com/question/3927786

#SPJ4

Can someone help me on this question? I think it’s the 2nd answer but I’m not sure

Answers

From the properties of a right triangle is found that the missing length x= [tex]5\sqrt{3}[/tex].

RIGHT TRIANGLE

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: (hypotenuse)²= (leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x) , cos  (x) and tan  (x) .

The sum of the internal angles of a right triangle also is equal to 180°.

The question gives a figure which is compound for two right triangles.

For each triangle is informed two angles, then:

Triangle 1 - It is given the angle 45° and 90°, thus the third angle will be:

       45+90+ x = 180

       135 + x =180

        x=180-135

        x=45°

Triangle 2 - It is given the angle 60° and 90°, thus the third angle will be:

       60+90+ y = 180

       150+ y =180

        y=180-150

        y=30°

Thus, the angles for the given triangle are:

Triangle 1 - 45°, 45° and 90°Triangle 2 - 60°, 30° and 90°

From the trigonometric ratio sinФ, you can find the hypotenuse the triangle 2. See below.

[tex]sin \theta =\frac{opposite\ leg }{hypotenuse} \\ \\ sin 45 =\frac{hypotenuse \ triangle 2 }{hypotenuse \ triangle 1} \\ \\ \frac{\sqrt{2} }{2}=\frac{hypotenuse \ triangle 2 }{10\sqrt{2} }\\ \\ 2*hypotenuse \ triangle 2 = 10*2\\ \\ hypotenuse \ triangle 2 = \frac{10*2}{2} \\ \\ hypotenuse \ triangle 2 =10[/tex]

If the hypotenuse of triangle 2 is 10, you can apply again the trigonometric ratio sinФ for finding x

[tex]sin \theta =\frac{opposite\ leg }{hypotenuse} \\ \\ sin 60=\frac{x }{hypotenuse \ triangle 2} \\ \\ \frac{\sqrt{3} }{2}=\frac{x }{10}\\ \\2x=10 \sqrt3\\ \\ x=5\sqrt3[/tex]

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

Select the ordered pair that is NOT marked on the coordinate plane below.

Answers

Answer: C. (2, 1)

Step-by-step explanation:

The numbers labeled are

(-5, -8)

(-2, 1)

(4, 0)

(2, 9)

Find coordinates by looking at each line. (x, y)

The x-axis is the horizontal line in the middle.

The y-axis is the vertical line going across.

The x-axis always goes first when plotting down coordinates, and y goes second.

So, the one NOT labeled is C (2, 1)

how many ways are there to paint each of the integers 2, 3,..., 9 either red, green, or blue so that each number has a dierent color from each of its proper divisors?

Answers

432 ways are there to paint each of the integers 2, 3,..., 9 either red, green, or blue so that each number has a different color from each of its proper divisors.

What is counting principle?

A rule used to count the entire number of alternative outcomes in a circumstance is known as the fundamental counting principle. It claims that if there are n ways to do something and m ways to do something else after that, then there are n m n*m methods to do both of these acts.

Here,

(1) All prime number can take any of three colors, except one of 2 or 3 as both are connected via 6..

so 2, 5, 7 can have 3 ways each - 3*3*3 = 27 ways

(2) Let us take the multiples of 2..

4 can take any of the remaining 2 colors, while 8 would take the remaining colour. As like 4, 6 can also take any of 2 colors other than the colour of integer 2.

Thus 2*2*1=4

3 is restricted because of 6, so it cannot have the same color as 6 and therefore 3 can have any of the remaining 2 colors.

We could also have taken 3 colors for 6, and then 2 and 3 would have 2 colors each and overall 2*2*3.. We are still getting the same

Only integer left is 9, so it will take any of the 2 colors other than that of 3, so 2 ways..

Total 2*2=4

Combined way of  integers = 27∗4∗4=432 ways

There are 432 different methods to paint the numerals 2, 3,..., 9 red, green, or blue so that each number has a different hue from each of its suitable divisors.

To know more about counting principle,

https://brainly.com/question/28384306

#SPJ4

50 points look at picture (if u troll i will get u banned)

Answers

The measure of ∠MCJ is 130° because ∠MCJ and ∠CMB are alternate interior opposite angles.

According to the question,

We have the following information:

We have a figure where angle MCJ is 130°.

Now, we can extend the two given lines as imaginary lines. After extending the lines, we will find that these lines are parallel and the lines are being cut by another line.

We know that in this case the alternate interior opposite angles are equal and the sum of consecutive alternate interior angles is 180°.

Now, ∠MCJ and ∠CMB are alternate interior opposite angles and thus they are equal.

Hence, the measure of ∠MCJ is 130° because ∠MCJ and ∠CMB are alternate interior opposite angles.

To know more about alternate interior opposite angles here

https://brainly.com/question/17679982

#SPJ1

Write equivalent fractions for 2/3 and 8/11 using the least common denominator.

Type the fractions, using a slash ( / ) to separate the numerator and denominator.

2/3 =

8/11 =

please give me the RIGHT answer immediately for the fractions using the least common denominator

Answers

The equivalent fraction for 2/3 and 8/11 is 22/33 and 24/33.

What is least common denominator?

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.

Given fractions are

2/3 and 8/11

L.C.M of 3 and 11 is 33.

We get,

2/3 ×11/11 = 22/33

and

8/11×3/3 = 24/33

To know more about least common denominator, visit:

https://brainly.com/question/4911096

#SPJ13

Use the graphs of f and r to describe the transformation from the graph of f to the graph of r.

Answers

The transformation from the graph of [tex]f[/tex] to the graph of [tex]r[/tex] is 4.

The given functions are f(x)=-1/4 x-2 and r(x)=4f(x).

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here,

r(x)=4f(x)

So, r(x)=4(-1/4 x-2)

⇒ r(x)=-x-2

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Vertical: stretch

The graph of the functions is given below.

Therefore, the transformation from the graph of [tex]f[/tex] to the graph of [tex]r[/tex] is 4.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

PLS HELP MEEEEEEEEEE !!!!

Answers

Answer:

Step-by-step explanation:

Ok;

1. Area is base times height.

Here shown, the base is 18cm and the height is 11cm. Don't be fooled by the 14cm for it is just the leg of a triangle not full height!!

18*11=198cm^2

2. Divide by two. We just caculated the area of the rectangle. Now we know a triangle is half of a rectangle's area so divide by 2!

198/2= 98cm^2

Find the slope of the line(4,9) and (4,13)

Answers

Answer:

the slope of the line is undefined

Nora is going to earn $300 from her summer job. Combined with her savings, Nora will then have $1,500 toward her music school. How much money does Nora have in her savings?

A. 1000

B. 1200

C. 1300

D. 1800

Answers

D because you add 300 and 1500 together to get 1800.

Answer:

1200

Step-by-step explanation:

1,500-300=1200

The table shows a set of values for x and y

y is inversely proportional to the square x.
a) Find an equation for y in terms of x. (2)
b) Find the positive value of x when y = 25 (2)

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

given y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation

to find k use any ordered pair from the table

using (2, 4 ) , then

4 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

16 = k

y = [tex]\frac{16}{x^2}[/tex] ← equation of variation

(b)

when y = 25 , that is

25 = [tex]\frac{16}{x^2}[/tex] ( multiply both sides by x² )

25x² = 16 ( divide both sides by 25 )

x² = [tex]\frac{16}{25}[/tex] ( take square root of both sides )

x = ± [tex]\sqrt{\frac{16}{25} }[/tex] = ± [tex]\frac{4}{5}[/tex]

the positive value of x is then [tex]\frac{4}{5}[/tex]

I need help like asap !!!

only numbers and decimal points ​

Answers

Answer:

c = 11.46 yd

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ c² = (8.1)² + (8.1)²

→ c² = 65.61 + 65.61

→ c² = 131.22

→ c = √131.22

→ [ c = 11.46 yd ]

Hence, value of c is 11.46 yd.

The goals in a hockey rink are 6 feet wide. A hockey player is standing 25 feet directly in front of the left side of one of the goals.

a) what is the maximum angle at which the player can shoot the puck to make it in the goal?

b) if the player skates forward 5 feet, how wide of a range of angles can the player shoot the puck to make it in the goal?

c) describe what happens to the maximum angle as the player gets closer to the goal

Answers

The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

a)

The given condition makes a right-angle triangle as shown below,

The tan function,

tanθ = 6/25

θ = 14.50°

b)

When a player is 5 feet closer means (20 feet far)

tanθ = 6/20

θ = 16.70°

c)

As the player gets closer the angle becomes more and more.

Hence "The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases".

For more information about the trigonometric function,

https://brainly.com/question/14746686

#SPJ1

your sister earns $30 per day selling clothes at the market, but in order to sell at the market, she has to pay $60 to get a license. You earn $20 per day helping rake your neighbors' lawns. How many days will it take for your sister to earn as much as you?

Answers

It will take 6 days for the sister to earn as much as the brother.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

Given that, the sister earns $30 per day and pays a $60 license fee and the brother earns$20 per day.

The income of the sister in x days is:

30x - 60

The income of the brother in x days is:

20x

The income of the sister and the brother is equal when:

30x - 60 = 20x

30x - 20x = 60

10x = 60

x = 6

Hence, It will take 6 days for the sister to earn as much as the brother.

Learn more about equations here:

https://brainly.com/question/10413253

#SPJ1

Solve the following exponential equation
[tex]3 {}^{2x } - 9 = 0[/tex]

Answers

3*2x-3*2=0
2x-2=0
2x=2|:2
x=1

Answer:

x = 1

Step-by-step explanation:

Given exponential equation:

[tex]3^{2x}-9=0[/tex]

Add 9 to both sides of the equation:

[tex]\implies 3^{2x}-9+9=0+9[/tex]

[tex]\implies 3^{2x}=9[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies \left(3^2\right)^{x}=9[/tex]

[tex]\implies9^{x}=9[/tex]

[tex]\textsf{Apply exponent rule} \quad a=a^1:[/tex]

[tex]\implies9^{x}=9^1[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies x=1[/tex]

Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $22, then how many games did Shakira bowl?

Answers

Answer: 4 times
Because 4.75 • 4 = 19 and 19 + 3 = 22
Hope it helps!
4 games
22-3=19
19/4.75=4

solve the proportion: 3/5 = 7/x

Answers

Answer:

11.6666666 (infinitely)

1.2
Which of the following expressions represents "the product of a number and eight"?

8x
X+8
X/8
8-x

Answers

The expression that represents the statement "the product of a number and eight" is 8x.

Expression:

Expression means the mathematical statement that consists of  minimum of two numbers/variables and at least one math operation(addition, subtraction, multiplication and division) in it.

Given,

The given statement is "the product of a number and eight".

Now, we have to find the suitable expression for this statement.

In order to find the suitable expression, we have to divide the given statement and then we have to identify the keyword in it.

By using those keywords, we have to solve it.

In the given statement we have identify the following:

product

number

eight

Here the product refers the multiplication

number is any unknown number that is x.

eight refers the number 8.

When we combine these keywords we can get the expression 8x.

Therefore, the resulting expression is 8x.

To know more about Expression here.

https://brainly.com/question/14083225

#SPJ1

1. Which is an example of an experiment? (1 point)
OA company asks its website users to rate its new features to navigate the site.
O Researchers working for a company test their new sneaker design to see if it helps athletes run faster.
OA scientist watches a group of local birds to see what type of tree they prefer to make their nests in.
An ice cream company asks people to identify their top three ice cream flavors.

Answers

An example of experiment is B. Researchers working for a company test their new sneaker design to see if it helps athletes run faster.

What is an experiment?

An experiment simply means a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. It should be noted that experiments provide insight into cause-and-effect as they demonstrate what outcome occurs when a particular factor is manipulated

Experiments have a vital place in the development of science because experiments are used to test the reality of a thought, an axiom, or a phenomenon with a theoretical basis and to turn it into a law or a theorem.

In this case, testing the new sneakers is an experiment.

Learn more about experiments on:

https://brainly.com/question/17274244

#SPJ1

of the 20 students in Kendra's class 5 have black hair eight have blonde hair 5 have brown hair 2 have red hair.kendra used ​

Answers

The probability of selecting a blonde is 0.40

What is probability?

Probability is the likelihood that something will occur.

In this case, from the twenty students, it should be noted that the number of blondes are 8.

Black hair = 5

Blonde hair = 8

Brown hair = 5

Red hair = 2

Therefore, the probability of choosing a blonde will be:

= Number of blonde / Total students

= 8/20

= 0.40

The probability is 0.40

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Complete question

Of the 20 students in Kendra's class 5 have black hair eight have blonde hair 5 have brown hair 2 have red hair.kendra used the spinner to blonde hair. What's the experimental probability that the student will have blonde hair?

If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).

Answers

Answer:

(f+g)(x) = x - 7

Step-by-step explanation:

(f+g)(x) tells you to add the functions together. It means

f(x) + g(x)

= -3x - 5 + 4x - 2

combine like terms.

= 4x-3x - 5 - 2

= x - 5 - 2

simplify.

= x - 7

(f+g)(x) means

f(x) + g(x)

= x - 7

Please help

Graph -8+x=4y-16

Answers

Answer:

Step-by-step explanation:

     I am going to transform this equation into slope-intercept form, as it is usually easier to graph it that way.

  Given:

-8 + x = 4y - 16

  Add 16 to both sides of the equation:

-8 + x + 16 = 4y

  Divide both sides of the equation by 4:

-2 + [tex]\frac{1}{4}[/tex]x + 4 = y

  Reflexive property and combine like terms:

y = [tex]\frac{1}{4}[/tex]x + 2

  Now, we will graph. The 2 is our y-intercept and the  [tex]\frac{1}{4}[/tex] is our slope, graphed as "rise over run." This means we will rise one unit up and run four units right.

      See attached.

Other Questions
What does Power Query use to change to what it determines is the appropriate data type? What is the equation of the line containing the points (5, 2), (10, 4), and (15, 6)?A. y = 2/5xB. y = x - 3C. y = 1/5x + 1 true or false: if an elevated feature near the heel or flanks or a position upwind of the fire affords a good sight line, take advantage of it as long as there is zero possibility that the fire will go there. which of the following general journal entries would be used to recognize $7,500 of uncollectible accounts expense under the direct write-off method? multiple choice account title debit credit accounts receivable 7,500 uncollectible accounts expenses 7,500 account title debit credit uncollectible accounts expenses 7,500 allowance for doubtful accounts 7,500 account title debit credit uncollectible accounts expenses 7,500 accounts receivable 7,500 account title debit credit allowance for doubtful accounts 7,500 uncollectible accounts expenses 7,500 Convert the following Solve for A in terms of I and P.I=AP Urgent .. Suppose that a national testing service gives a test in which the results arenormally distributed with a mean of 550 and standard deviation of 85. If you score a625 on the test, what fraction of the students taking the test exceeded your score? Which of the following best identifies one of the themes of the poem?A. One must abandon all material objects to truly enjoy lifeB. All things and people are intercconectedC. Real knowlege is gained from books and formal education D. Formal institutions suck as religion and law have no purpose in society Describe the atmosphere in the U. S. That provided the backdrop for the crime committed in Braintree, Massachusetts, on April 15, 1920 what factors determine how difficult it is for a manufacturer to persuade retailers to purchase its products? Write a summary of this Article. "Hearts of Our People" from: achieve3000 Pearl's father was 28 when Pearl was 6 years old. Pearl's father is now twice as old as Pearl. How old is Pearl? WILL GIVE BRAINLIEST PLEASE!!!!Marco completes one lap around a 200 m circular track. What is his displacement? What is the distance that he ran? Why were the pyramids of Egypt built so tall? Alexander hamiltons policies primarily targeted which group of people for greater involvement in the new nation?. 1. At what auxin concentrationare the stems stimulated to grow the most? How did the Spanish change some cultures in the Americas? What was most significant about the web press technology invented in the late 1800s? *2 pointsIt was run by an electric motor.It could only print newspapers.It lowered the cost of printing.It printed on one side of the paper. Answer the questions(1) 150 cola cans and 260 fruit juice cans need to be stacked in a school canteen. If each stack isto be of the same height and is to contain cans of the same type, what would be the greatestnumber of cans each stack can have? A peson on a vegetarian diet may have issues getting enough of this nutrient. question 15 options: a) water b) carbohydrate c) protein d) fat