Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below. Which is Zelie’s error? Zelie should have divided both numbers by 14. Zelie should have written the ratio as 28/7. Zelie should have written the ratio as 14/8. Zelie should have subtracted 14 from both numbers.

Answers

Answer 1

Answer:

Zelie should have divided both numbers by 14 to find the scale (2)

Step-by-step explanation:

Answer 2

Answer:

the answers A.

Step-by-step explanation:

I TOOK THE QUIZ edg 2020


Related Questions

I need help with these questions please

Answers

Answer:

a) the graph has a minimum

b) (3, 0)

c) x=3

d) N/A

c) (0, 9)

*forgot how to solve for roots

Step-by-step explanation:

Desmos

Answers and explanations.

A: Does the graph have a maximum and minimum. Yes. -) use the formula x=-b/2A and you will find that the maximum is at coordinations (3,0)

B:What are the coordinations of the vertex of the graph. The vertex is marked at (3,0) on a graph.

C:What is the equation of the axis of symmetry. The equation is x=3

D:What are the roots of the quadratic function. The roots of the function is x=3

E:What is the y intercept. The y intercept is (0,9)

:)

please need help asap!

Answers

Answer:

2/8 or 1/4

Step-by-step explanation:

There are 4 sections so if you spin it twice, we would double it so we have 2/8 and simplified to 1/4

I hope it helps you!

Alligators captured in Florida are found to have a mean length of 2 meters and a standard deviation of 0.35 meters. The lengths of alligators are believed to be approximately normally distributed. What percent of alligators have lengths greater than 2.2 meters?

Answers

Answer:

28.43% of alligators have lengths greater than 2.2 meters

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 2, \sigma = 0.35[/tex]

What percent of alligators have lengths greater than 2.2 meters?

This is 1 subtracted by the pvalue of Z when X = 2.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.2 - 2}{0.35}[/tex]

[tex]Z = 0.57[/tex]

[tex]Z = 0.57[/tex] has a pvalue of 0.7157

1 - 0.7157 = 0.2843

28.43% of alligators have lengths greater than 2.2 meters

Use the formula v = u + at to find the velocity when the initial velocity is 3 m/s the acceleration is 1.5 m/s the time is 7 s

Answers

[tex]answer \\ 13.5 \: m/s \\ given \\ initial \: velocity(u) = \: 3 \: m/s \\ acceleration(a) = 1.5 \: m/s ^2\\ time(t) = 7 \: second \\ now \\ v = u + at \\ or \: v = 3 + 1.5 \times 7 \\ \: or \: v = 3 + 10.5 \\ v = 13.5 \: m/s \\ hope \: it \: helps[/tex]

Please help thank you

Answers

Answer:

8000

Step-by-step explanation:

It's the only number missing from the answer to arrive at the answer itself :)

Answer:

8,000

Step-by-step explanation:

70 + x + 8 + 800,000,000 = 800,008,078    Add on the left side

800,000,078 + x = 800,008,078

-800,000,078        - 800,000,078     Subtract 800,000,078 from both sides

x = 8,000

Please answer this correctly

Answers

Answer:

4

Step-by-step explanation:

Set the height of the missing bar to 4 as there are 4 quantities between 21-25.

The commute would be 4, because in the number bank there’s 2 #21’s and 2 #23’s and 2+2=4

A laundry basket has 24 shirts in it for our Navy 12 arete and the remaining our way what is the probability of selecting a red shirt

Answers

Answer:

[tex]P(selecting a red t-shirt)=1/2[/tex]

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW;

A laundry basket has 24 t-shirts in it. Four are Navy, 12 are red, and the rest is white. What is the probability of randomly selecting a red t-shirt

EXPLANATION

Total number of the t-shirt in the laundry basket = 24

Number of Navy t-shirt = 4

Number of red t- shirt = 12

The number of white t- shirt in the laundry basket can be calculated as follow;

Total number of t- shirt - (Number of Navy t-shirt + Number of red t- shirt)

Number of white t- shirt = 24 -(4+12)

Number of white t- shirt = 8

The probability of randomly selecting a red t-shirt = [tex]Number of red t- shirt/Total number of the t-shirt[/tex]

[tex]P(selecting a red t-shirt)=12/24[/tex]

[tex]P(selecting a red t-shirt)=1/2[/tex]

What is the solution to y + 8.5 = 17.2?

Answers

Answer:

y+8.5 = 17.2

y = 17.2-8.5

= 8.7

Answer:

y+8.5 = 17.2

y = 17.2-8.5

= 8.7

Step-by-step explanation:

yes the answer above me is correct

Find the value of x:

Answers

If you use the Pythagorean’s theorem, you’ll get: x^2 + 3^2 = 16^2
x^2 + 9 = 246
x^2 = 237
x = the square root of 237, approximately 15.4

Please help! Correct answer only, please! Consider the matrix shown below: Using your calculator find the inverse of the matrix Q (i.e. Find Q^-1).

Answers

Answer:  C

Step-by-step explanation:

In order to find the inverse, transpose the matrix then find the determinant of each 2 x 2 matrix within it.

[tex]Q=\left[\begin{array}{ccc}2&2&3\\1&1&1\\3&2&1\end{array}\right] \qquad \rightarrow \qquad Q^T=\left[\begin{array}{ccc}2&1&3\\2&1&2\\3&1&1\end{array}\right][/tex]

[tex]det\left[\begin{array}{cc}1&2\\1&1\end{array}\right] =\bold{-1}\qquad det\left[\begin{array}{cc}2&2\\3&1\end{array}\right]=\bold{-4}\qquad det\left[\begin{array}{cc}2&1\\3&1\end{array}\right] =\bold{-1}\\\\\\\\det\left[\begin{array}{cc}1&3\\1&1\end{array}\right] =\bold{-2}\qquad det\left[\begin{array}{cc}2&3\\3&1\end{array}\right]=\bold{-7}\qquad det\left[\begin{array}{cc}2&1\\3&1\end{array}\right] =\bold{-1}\\[/tex]

[tex]det\left[\begin{array}{cc}1&3\\1&2 \end{array}\right] =\bold{-1}\qquad det\left[\begin{array}{cc}2&3\\2&2\end{array}\right]=\bold{-2}\qquad det\left[\begin{array}{cc}2&1\\2&1\end{array}\right] =\bold{0}[/tex]

[tex]Q^{-1}=\large\left[\begin{array}{ccc}1&-4&1\\-2&7&-1\\-1&-2&0\end{array}\right][/tex]

If log a = x and log b = y, then log (ab2) equals
1
1.
2 (x +y)
1
2.
x + 2 y
x + 2y
3
4.
2x + 2y
Su
uid Toolhar

Answers

Answer:

The answer for log(ab²) is x + 2y.

Step-by-step explanation:

You have to apply Logarithm Law,

[tex] log(a) + log(b) \: ⇒ \: log(a \times b) [/tex]

[tex] log( {a}^{n} ) \: ⇒ \: n log(a) [/tex]

In this question, you have to seperate it out :

[tex] log(a {b}^{2} ) = log(a) + log( {b}^{2} ) [/tex]

[tex] log( {b}^{2} ) = 2 log(b) [/tex]

[tex]let \: log(a) = x[/tex]

[tex]let log(b) = y[/tex]

[tex] log(a {b}^{2} ) = log(a) + 2 log(b) [/tex]

[tex] log(a {b}^{2} ) = x + 2y[/tex]


ملی
A man left one-fifth of his property to his
Son , one third to his daughter
and remaining
to his wife. If his wife got 35ooo RS what was the
worth of his total property?​

Answers

Answer:

Rs 75,000

Step-by-step explanation:

Let the total value of property be x

If one-fifth of that is given to son

property with son = 1/5 of total value of property = 1/5 of x = x/5

If one-third of that is given to daughter

property with daughter = 1/3 of total value of property = 1/3 of x = x/3

remaining property after giving the portions to son and daughter

= total value of property - property with son -property with daughter

= x - x/5 - x/3

taking LCM of 5 and 3 (15)

= (15x - 3x - 5x)/15

= 7x/15

Given that remaining property was given to wife

property with wife = 7x/15

it is given that wife got 35000 Rs

thus,

7x/15 = 35,000

7x = 35,000*15 = 525,000

x =  525,000/7 = 75,000

Thus, total worth of property =Rs 75,000 Answer

Answer:

Rs 75,000

Step-by-step explanation:

Let the total value of property be x

If one-fifth of that is given to son

property with son = 1/5 of total value of property = 1/5 of x = x/5

If one-third of that is given to daughter

property with daughter = 1/3 of total value of property = 1/3 of x = x/3

remaining property after giving the portions to son and daughter

= total value of property - property with son -property with daughter

= x - x/5 - x/3

taking LCM of 5 and 3 (15)

= (15x - 3x - 5x)/15

= 7x/15

Given that remaining property was given to wife

property with wife = 7x/15

it is given that wife got 35000 Rs

thus,

7x/15 = 35,000

7x = 35,000*15 = 525,000

x =  525,000/7 = 75,000

Thus, total worth of property =Rs 75,000 Answer

Hey!

I'm a student.

Can you help me solve this question?

Thanks!

Answers

Answer:

9

Step-by-step explanation:

Just dont even try with these use a calculator every time. even if you're confident

Answer:

9

Step-by-step explanation:

1+2 is the first equation to do, which equals 3. Then from the beginning we have 6 ÷2 and as there is no sign from this to the brackets it will be multiply. 6÷2 is 3. multiply it by 3 (what the brackets equal) and the answer is 9

Determine whether the sampling method is independent or dependent. A stock analyst wants to know if there is a difference between the mean rate of return from energy stocks and that from financial stocks. He randomly selects 13 energy stocks and computes the rate of return for the past year.

Answers

Answer:

The sampling method is independent.

Step-by-step explanation:

Samples are said to be dependent when the data chosen in one sample has an effect on the data to be chosen in the other sample, while samples are said to be independent if the data chosen in one sample has no effect on the data to be chosen on the other sample.

Here, the stock analyst wants to know if there is a difference between the mean rate of return from energy stocks and that from financial stocks, so, he randomly selects 13 energy stocks. Since the energy stocks he chose were randomly selected, it means the data he selected from the energy stock will not dictate the type of data to be selected from the financial stock. Thus, the sampling method is said to be independent.

Tony rode his bicycle 3 7/10 miles to school. What is this distance written as a decimal?

Answers

Answer:

the distance written as a decimal is 3.7

37/10 = 3,7

Achievements :)

Graph g(x), where f(x) = 2x − 5 and g(x) = f(x + 1).
A.) a line labeled g(x) that passes through points 0, negative 4 and 2, 0
B.) a line labeled g(x) that passes through points 0, negative 3 and 4, 5
C.) a line labeled g(x) that passes through points negative 5, negative 3 and 0, 7
D.) a line labeled g(x) that passes through points 0, negative 7 and 5, 3

Answers

Answer:

B.) a line labeled g(x) that passes through points 0, negative 3 and 4, 5

Step-by-step explanation:

I graphed both equation on the graph below to find the description of the graph of g(x).

Answer:

b for brakes?

Step-by-step explanation:

Evaluate the function h(t) =|t +2| + 3; find h(6)

Answers

Answer:

11

Step-by-step explanation:

h(t) =|t +2| + 3

Let t=6

h(6) =|6 +2| + 3

       = |8| +3

        =8+3

         = 11

A farmer planted corn in two different fields. He planted 500 seeds of regular corn in Field A and 500 seeds of experimental corn in Field B. At

harvest time, more ears of corn had grown in Field A than in Field B. The farmer concluded that more corn grew in Field A because of the type

of corn planted.

Choose two other possible variables that could have caused more corn to grow in Field A.

Answers

Answer:

1. More pollination process in the regular corn planted in field A than that of field B.

2. Low pest and insect attack on corn planted in field A compared to that of B.

Step-by-step explanation:

1. Pollination is the process in which a plant becomes fertilized, so as to produced seeds. The process requires some agent which could be; air, human, wind etc.

Therefore more pollination of the corn planted in field A than those in B would lead to more yield (ears of corn harvested) than that of B.

2. Pests and insects are agents which could reduce the yield of the corn after harvest. Comparing the two fields A and B, if the corn planted in field A were not affected by pests or insects, while those planted in B were affected, then more ears of corn would be harvested in field A.

Answer:

a,c, And gg gamer

Step-by-step explanation:

A bag contains some number of marbles. It is known that 20 of them are red. When 15 marbles are drawn, without replacement, we get 6 red. Assuming E(X)=6 red, what is the total number of marbles in the bag?

Answers

Answer:

The total number of marbles in the bag is 50.

Step-by-step explanation:

Here, we have n trials, without replacement. So the hypergeometric distribution is used.

The mean of the hypergeometric distribution is:

[tex]E(X) = \frac{n*k}{N}[/tex]

In which n is the number of items in the sample, k is the number of items in the population that are classified a success and N is the size of the population.

15 marbles are drawn:

This means that [tex]n = 15[/tex]

A bag contains some number of marbles. It is known that 20 of them are red.

This means that [tex]k = 20[/tex], since a success is drawing a red marble.

Assuming E(X)=6 red, what is the total number of marbles in the bag?

We have to find N when [tex]E(X) = 6[/tex]

So

[tex]E(X) = \frac{n*k}{N}[/tex]

[tex]6 = \frac{15*20}{N}[/tex]

[tex]6N = 300[/tex]

[tex]N = \frac{300}{6}[/tex]

[tex]N = 50[/tex]

The total number of marbles in the bag is 50.

what is tan B enter your answer as a simplified fraction in the box

Answers

Answer:

7/24

Step-by-step explanation:

Tangent is opposite over adjacent. You know that the opposite leg is 14 but you don't know the adjacent.

To find the unknown leg, use Pythagorean theorem so that 50^2-14^2= leg. The length is 48.

14/48= tan B

7/24= tan B

What value of c makes x2 + 6x + c a perfect square trinomial?

Answers

Answer:

9

Step-by-step explanation:

x^2 + 6x + c

Take the coefficient of x

6

Divide by 2

6/2 = 3

Square it

3^2 = 9

That is the value of c required

Answer:

C. 9

Step-by-step explanation:

c = 9

x² + 6x + 9

= (x+3)(x+3)

= (x + 3)²

it is a perfect square trinomial when c is equal to 9

What is an equation of the line that passes through the points (-7, -5) and
(-7, -2)?

Answers

Answer:

y=3x-1

Step-by-step explanation:

you first find the gradient

(-7,-5). (-7,-2)

x¹ y¹ x² y²

gradient=y²-y¹

x²-x¹

-2+5

-7+7

3/1=3. gradient is 3

equation formula= y=mx+c

(among the two sets of value you were given use one eg I will use -7 and -2)

y-(-7)/x-(-2)=3

y+7/x+2=3

y+7=3(x+2)

y+7=3x+6

y=3x+6-7

y=3x-1

I will mark you as BRANLIEST and I will give you 55 points if you answer correctly.

~Solve each system of equations using elimination. SHOW YOUR WORK

1) -4x+3y=-5
4x-5y=3

2) 2x+3y=36
10x-6y=12

Answers

Answer:

1. x = 2    y = 1

2. x = 17   y = 29/3

Step-by-step explanation:

1. Use elimination

-4x+3y=-5

4x-5y=3

x's cancel, so add them

-2y = -2

y = 1

substitute

4x -5(1) = 3

4x - 5 = 3

4x = 8

x = 2

2. Use elimination  

2x+3y=36

10x-6y=12

Multiply top equasion by 5

10x+30y = 360

10x-6y = 12

x's cancel so subract

36y = 348

y = 29/3

Substitute

2x+3(2/3)=36

2x+2 = 36

2x = 34

x = 17

.
A students received a score of 50 on his history test. The test had a mean of 69 and a standard deviation of 10. Find the z score and assess whether his score is considered unusual.

1.90; unusual

–1.90; not unusual

–1.90; unusual

1.90; not unusual

Answers

Answer:

c) The Z-score = - 1.90 unusual

Step-by-step explanation:

Explanation:-

Let 'X' be the random variable in normal distribution

Given student received a score X = 50

Mean of the Population x⁻ = 69

standard deviation of the Population 'σ' = 10

now

[tex]Z = \frac{x^{-}-mean }{S.D}[/tex]

[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{50 -69}{10} = - 1.90[/tex]

The Z-score = - 1.90

Conclusion:-

The Z-score = - 1.90 unusual

Answer: The Z-score = - 1.90 unusual

Step-by-step explanation:

Can someone help me with this?

x^2-4x+4

I understand -2 x 2=-4, but I’m not seeing how to add the factors to get +4, because -2+2=0. I’ve got the first half of the solution, but not the second.

Answers

Answer:

(x-2)(x-2)

Step-by-step explanation:

You should be trying to find two numbers that add to make the coefficient of x (in this case, -4), and two numbers that multiply to make the constant term (in this case, +4). The two numbers that work for both of those criteria are -2 and -2.

-2 x -2 = +4 (satisfies the constant term)

-2 + -2 = -4 (satisfies the coefficient of x)

The correlation between height and weight among men age 18-74 in the U.S. is about 0.40. Say whether each conclusion below follows from the data; explain your answer. a) Taller men tend to be heavier. b) The correlation between weight and height for men age 18-74 is about 0.40. c) Heavier men tend to be taller. d) If someone eats more and puts on 10 pounds, he is likely to get somewhat taller.

Answers

Answer:

Options a, b, c are correct.

Step-by-step explanation:

First let's see the equation that governs the statement, which is the following:

[tex]r = \frac{cov (x, y)}{\sqrt{var(x) var (y)} }[/tex]

Therefore, reading options a, b, c are correct.

Since from the formula we have the correlation coefficient of two variables x and y and here it shows us the correlation between x, y and y, x is the same.

 This means that the 0.4 correlation implies a moderate but positive relationship between the two variables.

 that is, the highest or lowest value of one variable implies a highest or lowest value of the other variable, respectively.

Para cubrir un tejado rectangular de 29,7 m de largo ,se gastaron 24 552 locetas de 25cm x19 cm las cuales pierden al colocarse la 1/5 parte de su extensión eficaz . ¿ Qué ancho tenía el tejado ?

Answers

Answer:

El tejado tenía un ancho de 31.4 m.

Step-by-step explanation:

Tenemos un techo rectangular, con un largo de 29.7 m y un ancho x, que debemos calcular.

Entonces, la superficie del tejado es:

[tex]S=29.7x\;\,\text{[m}^2\text{]}[/tex]

Las locetas tienen una superficie de 25x19 cm,  de las cuales 1/5 se pierde en la colocación. La superficie eficaz que ocupa cada loceta una vez colocada es:

[tex]S_L=(25\cdot19)\cdot(1-1/5)=475\cdot(0.8)=380\;\text{cm}^2[/tex]

Entonces, si se utilizaron 24552 locetas para cubrir todo el techo, podemos expresar la superfice del techo como:

[tex]S=24552\;\text{locetas}\;\cdot380\dfrac{\text{cm2}}{\text{loceta}}\cdot \left(\dfrac{1\text{m}}{100\text{cm}}\right)^2=\dfrac{24552\cdot380}{10000}\;\text{m2}=932.976\;\text{m2}[/tex]

Podemos calcular x igualando este último resultado con la primer ecuación:

[tex]S=29.7x=932.976\\\\x=932.976/29.7=31.413\approx31.4[/tex]

what is the value of x

14
15
16
17

Answers

Answer:

  14

Step-by-step explanation:

Opposite angles in a rhombus are congruent. Even if you didn't know that, adding up the angles in this quadrilateral would tell you that ...

  (5x)° = 70°

  x = 70/5 = 14 . . . . . divide by 5

The value of x is 14.

the value of x is 14. i took the rest

Plz help! U will get full points!

Answers

Answer:

2 wild cards

Step-by-step explanation:

Typical would mean most often

2 wild cards shows up 6 times which is most often

The length of a rectangular driveway is five feet more than three times the width. The area is 350ft2. Find the width and length of the driveway.

Answers

Answer:

width -- 10 ftlength -- 35 ft

Step-by-step explanation:

We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.

The area is the product of length and width, so is ...

  A = (3x +5)(x) = 3x^2 +5x

To make the area 350, we can find the value of x from ...

  3x^2 +5x = 350

This can be solved a number of ways. One of them is "completing the square".

  3(x^2 +5/3x) = 350

We choose to divide by 3 and add the square of half the x-coefficient.

  x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2

  (x +5/6)^2 = 4225/36 . . . . simplify

  x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root

  x = 10  or  -11 2/3 . . . . subtract 5/6

The positive solution is the one of interest: x = 10.

The driveway is 10 ft wide and 35 ft long.

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What is one possible set of dimensions of a cone that has the same volume as the cylinder? Explainyour reasoning Bob, proprietor of Bob's Burgers, would like to retire in 20 years. He plans to deposit $6500 at the end of each year for the next 20 years into an account expected to earn 7.5% compounded annually. How much will Bob have in his retirement account in 20 years immediately after making his last deposit A recently graduated engineer has decided to return to school in the evenings to obtain a master's degree. He feels it should be accomplished in a manner that that will allow him the maximum amount of time for his regular day job plus time for recreation. In working for the degree, he will i will give brainliest if correctWhich two sentences describe the characteristics of a corporation?The company is treated as a separate tax entity by law.The owners have to accept partial liability for debts.It is possible to raise large amounts of capital by selling company stock.The owners are known as corporators. MFG Manufacturing sells a product for $40 per unit. The production cost of the product is $21 per unit: direct materials of $8, direct labor of $7, variable overhead of $4 and fixed overhead of $2. The fixed overhead per unit comes from dividing $500,000 of fixed factory overhead by 250,000 units produced. In addition, MFG pays $3 for shipping each unit sold. Finally, MFG has fixed costs outside the factory (such as office building depreciation and salaries) that total $200,000 per year. Assuming breakeven in units was correctly computed to be 20,000 units, breakeven in dollars is: 16.) The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 adult tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 adult tickets and 5 student tickets. What is the price of the adult and the student ticket? Drag each tile to the correct location. Identify each item as an example of plot, setting, or character. It was the middle of the morning when she stepped out into the beautiful kingdom of ice. The animals watched as the sun started to set. The forest all around them grew black with night. The king was a proud and powerful man. Even though he was only as tall as a dandelion, he commanded the entire rooms attention. Kenneth entered the dark cave and defeated the dragon. Now that hed protected the city, he could finally marry the princess. The young boy stood his ground as the large snake attempted to attack him. He stepped to the side and used his gleaming sword to frighten it away. The boy was about 12 years old. Hed never been outside his village, but he dreamed of seeing distant kingdoms and learning about the world. 2 PointsWhy were Southerners successful in using literacy tests to keep AfricanAmericans from voting? Early Christians came into conflict with the Roman Empire becaause Which example describes a primary source?A. A memoir written by British prime minister Margaret Thatcherabout her careerB. A song written about the politics of British prime ministerMargaret ThatcherC. An article about British prime minister Margaret Thatcher's role inthe Cold WarD. An analysis of a speech given by British prime minister MargaretThatcher What are the four causes of mental disorder Lana was walking down the sidewalk looking at her phone and didn't notice the curb ahead. As she tripped her ankle turned inward (inversion). She heard a pop and had pain on the lateral side (outside) of her ankle and foot. Lana went to urgent care and was diagnosed with a 2nd degree lateral ankle sprain and fracture of her fibula (lateral bone in the lower leg). List all the types of tissues that have been affected by this injury. Which will likely heal slower, ligament or bone? Pls help I need these pointsJustin Launches a water balloon vertically from a platform on his roof height in feet is represented By the equation H = -16t^2+32t+48,where T is the time (in seconds) after he launch is the water balloonWhat is the maximum height of the water balloon?How long does it take to reach its maximum height? Directions and AnalysisTask 1: Completing the SquareLook at the quadratic equation below.2x^2-12x-16=0This is not an equation that could be easily solved by factoring. Instead, you are going to use the method of completing the square to solve this equation. Follow each step in this task to complete the square and solve the equation.a.To complete the square, the coefficient of the x2 term must be 1. Divide both sides of the equation by a value and rewrite the equation to meet this criteria.Type your response here:b.Rewrite the resulting equation so the constant term is on the right side of the equation and the variable terms are on the left.Type your response here:c.Identify the coefficient of the x term in the previous equation. Then divide it by half and square the result. What is the result?Type your response here:d.Add the value you identified in part c to both sides of the equation from part b and simplify the right side. Remember that when solving equations, whatever is done to one side of the equation must also be done to the other side the equation: that is why you must add the value to both sides.Type your response here:e.Notice that the left side of the equation now represents a perfect square quadratic expression. Use this fact to rewrite the left side of the previous equation as the square of a linear term and create a new equation.Type your response here:f.You have now completed the square. Starting with the result from part e, solve the equation for x. Show your work.Type your response here:g.Now that you know how to complete the square to solve a quadratic equation, solve the equation 3x^2 3x 6 = 0. Show your work.Type your response here: Which statement about enzymes is true?An enzyme functions to increase the activation energy in a reacton.Enzymes are proteins that function as catalysts in nonliving things.Each enzyme can catalyze many different biochemical reactions.Enzymes and substrates fit together like a lock and key. It is very hard to protect peoples property rights unless we can define exactly who owns what. For example, the ownerhip of a car is defined by who owns the title to the car. Provide four other examples of defining ownership. Your examples may include both physical and intellectual property. Im also stuck on this . Consider a linear, upward sloping supply curve. If the supply curve shifts upward, then: the price elasticity of supply will increase. the price elasticity of supply will increase if the slope of the supply curve is greater than one and the lowest price needed to induce firms to supply anything is positive. the price elasticity of supply will increase if the slope of the supply curve is greater than one. the price elasticity of supply will be constant. none of the above Which values are equivalent to the fraction below? 6^7/6^5 Fill in the following for a possible study with one independent variable (IV) with two conditions/treatments and a dependent variable (DV) that is measured on a continuous scale (interval or ratio): Independent variable = ______________ Condition A = ______________ Condition B = ______________ Dependent variable = _______________ How do you know this DV is measured on a continuous scale? How would you word the null hypothesis for your sample study? How would you word the alternative hypothesis for your sample study? What alpha level would you set to test your hypothesis? Why?