What are the similarities and differences between these problems

What Are The Similarities And Differences Between These Problems

Answers

Answer 1

Using an exponential function, it is found that:

The pool has 1106 gallons after 50 minutes.The poll will have less than 1000 gallons after 66.6 minutes.

What is an exponential function?

An exponential function is modeled according to the following rule:

[tex]y = ab^{\frac{x}{n}}[/tex]

In which:

a is the initial value.b is the rate of change.n is the period of the change of change.

Considering that the pool has 1500 gallons, and drains 3% every 5 minutes, the parameters of the function are given as follows:

a = 1500, b = 1 - 0.03 = 0.97, n = 5.

Hence the amount of water in the poll after x minutes is given by:

[tex]y = 1500(0.97)^{\frac{x}{5}}[/tex]

After 50 minutes, the amount of water in the pool is:

[tex]y = 1500(0.97)^{\frac{50}{5}} = 1500(0.97)^{10} = 1106[/tex]

1106 gallons.

The poll will have less than 1000 gallons when:

y = 1000 (we can use it because the function decreases continuously).

Hence:

[tex]1500(0.97)^{\frac{x}{5}} = 1000[/tex]

[tex](0.97)^{\frac{x}{5}} = \frac{1000}{1500}[/tex]

[tex](0.97)^{\frac{x}{5}} = \frac{2}{3}[/tex]

[tex]\log{(0.97)^{\frac{x}{5}}} = \log{\left(\frac{2}{3}\right)}[/tex]

[tex]\frac{x}{5}\log{0.97} = \log{\left(\frac{2}{3}\right)}[/tex]

[tex]x = 5\frac{\log{\left(\frac{2}{3}\right)}}{\log{(0.97)}}[/tex]

x = 66.6 minutes.

What is the missing information?

The capacity of the pool is missing, and it is of 1500 gallons.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1


Related Questions

The part of marketing copy that asks the audience to do something with the information you've just provided is known as what? Question 20 options: A. Return on investment B. call to action C. vernacular D. emotional language HELPPPPLSSSSSSSSSSSSSSSSS

Answers

The part of marketing copy that asks the audience to do something with the information you've just provided is known as call to action. Option B

What is a marketing copy?

Marketing copy can be defined as a content that is written to boost sales or to promote a product or service and also to persuade the readers to take a certain actions.

It is an important tool that is used to educate customers, and it provides the resources and contact details information to help various businesses increase the awareness of their products and services.

What is call-to-action?

Call-to-action can be defined as the part of an advertisement or content that encourages the audience to do something.

In marketing, it help in converting a reader or visitor to a lead for the business sales team.

It also drives other marketing actions depending on the content's goal.

Hence, the marketing copy is call-to-action

Learn more about marketing copy here:

https://brainly.com/question/12170995

#SPJ1

Answer:

Step-by-step explanation: B

Addison is working two summer jobs, making $10 per hour washing cars and $22 per hour tutoring. Addison must earn a minimum of $170 this week. Write an inequality that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Addison can work in a given week.

Answers

The inequality that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Addison can work in a given week is 5ww + 11tt ≥ 85.

Amount earned by Addison per hour in washing cars = $ 10

Amount earned by Addison per hour in tutoring = $ 22

Minimum amount Addison must earn this week = $ 170

We have to find an inequality  that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Addison can work in a given week.

Based to the data given in the question, we can write the inequality,

10ww + 22tt ≥ 170

Dividing the inequality by 2, we get

5ww + 11tt ≥ 85

To learn more about inequality, here:-

https://brainly.com/question/28823603

#SPJ1

Given g(x) = 4x - 7, find g(-9)

Answers

Answer:

g(- 9) = - 43

Step-by-step explanation:

substitute x = - 9 into g(x) , that is

g(- 9) = 4(- 9) - 7 = - 36 - 7 = - 43

Which fraction is equivalent to 0.35?

Answers

Answer:

B ,I think

Step-by-step explanation:

Answer: B

Step-by-step explanation: 35÷100=0.35

A triangle has base 8 cm and perpendicular height 5.2 cm
Diagram not drawn accurately
8 cm
Work out the area of the triangle.
Optional working
5.2 cm
Answer:
cm²

Answers

The area of the triangle is 20.8 cm².

We are given a triangle.The length of the base of the triangle is 8 cm.The perpendicular height of the triangle is 5.2 cm.If the base and height of a triangle are known to us, then we can easily calculate the area of the triangle.To find the area of the triangle, we will use the formula mentioned below :The area of the triangle is half the product of its base and its perpendicular height.The area of the triangle is (1/2)*8*5.2.The area of the given triangle is 20.8 cm².

To learn more about triangles, visit :

https://brainly.com/question/2773823

#SPJ1

considerthetypeofclothesdryer(gasorelectric) purchased by each of five different customers at a certain store. a. if the probability that at most one of these customers purchases an electric dryer is .428, what is the probability that at least two pur- chase an electric dryer? b. if p(all five purchase gas) 1⁄4 .116 and p(all five purchase electric) 1⁄4 .005, what is the probability that at least one of each type is purchased?

Answers

The probability of at least two purchasing an electric dryer is 0.572 and the probability of at least one type of purchase is 0.879.

What are examples and probability?

It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability.For instance, the theoretical chance of receiving a head while tossing a coin is 12.

a dryer

           1 - 0.428  = 0.572

P(all 5 for purchasing gas) = 0.116

P(all 5 electrical purchases)  = 0.005

P(at least 1 of each type purchased) = 1 -(P(only 1 type is purchased))

= 1 - [ P(all 5 for purchasing gas) + P(all 5 electrical purchases)

= 1 - 0.116 - 0.005

= 1 - 0.121

= 0.879

Learn more about probability

brainly.com/question/11234923

#SPJ9

could you help with this question please, thank you ​

Answers

Answer:

x = 4.5 and y = 3

Step-by-step explanation:

Area of a rectangle = length x width

= 12 (2x - y)

Area is given as 72

∴ 12 (2x - y ) = 72

Divide both sides by 12 =>

12/12 (2x - y) = 72/12

2x - y = 6    [1]

The kite perimeter is 33
Your equation is correct:
2(3x) + 2(y) = 33

=> 6x + 2y = 33   [12]

So we have two equations and we can solve them as follows

Multiply [1] by 2
2(2x -y) = 2 x 6

4x - 2y = 12          [3]

Coefficients of y in equations [1] and [2] are same but of opposite sign

Add [1] and [3]

    6x + 2y = 33
+
    4x  - 2y = 12

-------------------------
   10x + 0   = 45

=> 10x = 45

Divide both sides by 10

=> x= 45/10

x = 4.5

Substitute for x in equation [1]: 2x - y = 6

=> 2(4.5) - y = 6

=> 9 - y = 6

Subtract 9 from both sides

9 - 9 - y = 6 - 9

-y = -3

Multiply by -1 both sides
y = 3

Answer: x = 4.5 and y = 3

For a smoothie, Isaac needs 3 quarts of strawberry puree, which is sold in bottles of 1 pint and bottles of 1 cup. He already had 1.75 quarts of puree. If he wants to buy exactly three bottles in total, how many of each bottle should he buy?
pint bottle(s)
cup bottle(s)

Answers

Isaac will buy 2 pints and 1 cup of strawberry puree if he wants to buy exactly three bottles.

Given that:-

Quantity of strawberry puree Isaac needs = 3 quarts

Quantity of strawberry puree Isaac already have = 1.75 quarts

Also,

Strawberry puree is available in bottles of 1 pint and bottles of 1 cup.

We have to find the number of bottles each of pint and cup will Isaac need if he want to buy exactly in 3 bottles.

We know that,

1 pint = 0.5 quarts

1 cup = 0.25 quarts

Quantity of strawberry puree needed to be bought = 3 - 1.75 = 1.25 quarts.

Let the number of bottles of pint be x and,

The number of bottles of cup be y

Then, we can write

0.5x + 0.25y = 1.25  ...(1)

x + y = 3  ... (2)

Solving the linear equations in 2 variable by elimination method, we get

Multiplying (1) by 2, we get,

x + 0.5y = 2.5  ...(3)

(2) - (3)

0.5y = 0.5

y = 1

As, x + y = 1

x = 2.

Hence, Isaac will buy 2 pints and 1 cup of strawberry puree.

To learn more about elimination method, here:-

https://brainly.com/question/14619835

#SPJ1

Expand and simplify (y + 3)(y + 7)

Answers

[tex]=(y+3)(y+7)\\=y(y+7)+3(y+7)\\=y^{2} +7y+3y+21\\=y^{2} +10y+21[/tex]

Attached is the solution in detail

An object in real life is 55 feet long. How many inches long should it be in the scale drawing?

Answers

Based on the length of the object in real life, and the scale factor used, the length of the object on the scale drawing in inches can be found to be 9.17 inches

How to find the length?

The scale factor tells us how the measurement of an object on a drawing relates the measurement of the same object in reality.

For a scale factor of 1 inch to 6 feet, it means that every inch of an object on a drawing, would be 6 feet of the same object in real life.

For this object that is in a drawing with a scale factor of 1 inch to 6 feet, the length in real life of 55 feet tells us that the length in the drawing is:

= Number of feet in real life / Number of feet in scale factor per drawing

= 55 / 6

= 9.17 inches

Full question is:

A scale factor of 1 inch to 6 feet is used. An object in real life is 55 feet long. How many inches long should it be in the scale drawing?

Find out more on scale drawings at https://brainly.com/question/25324744

#SPJ1

is w a subspace of v? if not, state why. assume that v has the standard operations. (select all that apply.) w is the set of all 2 × 2 matrices of the form 0 v u 0 v = m2,2

Answers

A) W is a sub space of V

given that V =R^4 and W= [(x1, x2, x3, 0)|x1 ,x2, x3 E..R]

W is a subspace of V because of the following.

let  (x1, x2, x3, 0), (y1, y2, y3, 0)  ∈  W and a, b  ∈ V

now  

a(x1, x2, x3, 0)+b (y1, y2, y3, 0)= (a x1, a x2, a x3, 0)+(b y1, b y2,b y3, 0)

= (a x1+ b y1 , a x2+ b y2 , a x3+ b y3 ,0+0)=  

(a x1+ b y1 , a x2+ b y2 , a x3+ b y3 ,0+0)

LHS =RHS

∈W

since  (a x1+ b y1 , a x2+ b y2 , a x3+ b y3 ) are all elements of R

W is closed under vector addition and scalar multiplication.

Hence W is a sub space of V.

Learn more about  sub space -https://brainly.com/question/28852168

#SPJ4

Which decimal is equivalent to 5 over 9?

Answers

Answer:

0.5 repeating

Step-by-step explanation:

This is because any fraction with a denominator of 9 is a repeating decimal.

audio button question write an equation of the parabola in intercept form that passes through $(0,\ -18)$ with x-intercepts of $9$ and $1$ question write an equation of the parabola in intercept form that passes through $(0,\ -18)$ with x-intercepts of $9$ and $1$

Answers

The equation of parabola in the intercept form that passes through (0,-18) with x intercepts of 9 and 1 is y = -2(x-9)(x-1)  .

In the question,

it is given that ,

the parabola passes through (0,-18) and has x intercepts as 9 and 1 .

The intercept form of the equation of parabola is given by

y = a(x-p)(x-q)   , where a is the constant

and p , q are the x intercepts  .

Given that the parabola has x intercepts as 9 and 1 , So

equation becomes

y = a(x-9)(x-1)          .....(i)

Since parabola passes through the points (0,-18) ,

hence , point should satisfy the equation ,

So putting y = -18 and x=0 , we get

-18 = a(0-9)(0-1)

-18 = a(-9)(-1)

-18 = 9a

a = -2

Substituting a= -2 in equation (i) ,

we get the equation of parabola as y = -2(x-9)(x-1) .

Therefore , the equation of parabola in the intercept form that passes through (0,-18) with x intercepts of 9 and 1 is y = -2(x-9)(x-1)   .

The given question is incomplete , the complete question is

Write an equation of the parabola in intercept form that passes through (0,-18) with x-intercepts of 9 and 1 .

Learn more about Parabola here

https://brainly.com/question/17555460

#SPJ1

A 429 g piece of cheese costs $9.50. What will be the cost for 1.42 kg of this cheese?

Answers

The cost for 1.42 kg of this cheese will be $ 31.44 .

What does unit conversion entail?

The process of translating measurements of a given quantity between different units, frequently using multiplicative conversion factors that change the value of the measured quantity without changing its effects, is known as unit conversion. The specific circumstances and the desired result dictate the conversion process. This may be governed by a regulation, contract, set of technical requirements, or other publicly available standards.

Why is the unitary technique used? What is it?

In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple.

How to calculate the value of one pen, for example, if 40 cost Rs. 400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used. The unitary method entails calculating the value of a single unit before calculating the value of the required number of units.

Given that 0.429 kg of cheese cost $9.50

As a result, the price of 1 kg of cheese is $9.50/0.429, which is $ 22.14.

As a result, 1.42 kg of cheese will cost you $22.14 * 1.42 = $31.44.

To learn more about unit conversion, tap on the link below:
https://brainly.com/question/24587372

#SPJ10

The stem-and-leaf plot shows the test scores for a chemistry class. How many students had a score greater than 90 points? Stem and leaf plot. Vertical line separates each stem from its first leaf. First row. Stem 5. Leaf 2. Second row. Stem 6. Leaves 4,6. Third row. Stem 7. Leaves 0,1,4,6,8,8,8. Fourth row. Stem 8. Leaves 0,1,2,3,4,6,8,8. Fifth row. Stem 9. Leaves 1,2,3,4,6,7. Six row. Stem 10. Leaf 0. Key. 7 vertical line 4 equals 74.

Answers

Answer:  7

=========================================================

Explanation:

The key states  [tex]7 \big| 4= 74[/tex]

It means that a stem of 7 and leaf of 4 combine to the value 74

We're interested in scores greater than 90, so we'll be focusing on the stems of 9 and 10 only

Stem 9. Leaves 1,2,3,4,6,7. Stem 10. Leaf 0

Stem9 has 6 leaves while stem10 has 1 leaf. That's 6+1 = 7 leaves total, which means we have 7 scores above 90. If there was a leaf of 0 for stem9, then we'd have to ignore it (since it forms the score 90). But we don't have to worry about that for this case.

9. In the state of North Carolina, the sales
tax rate is 8%. How much would you pay in
sales tax for a pair of mittens that cost $28?

Answers

Answer:

$2.24

Step-by-step explanation:

convert 8% to .08

next multiply that by the cost, 28

.8x28=2.24

find the distance between points S(-2,4) and T(3,9) Round your answer to the nearest tenth

Answers

Answer:

Distance between coordinates is given as √(x1-x2)²+(y1-y2)², where x and y are the coordinates of the points.

Length of ST = √(-2-3)²+(4-9)²

= √(-5)²+(-5)²

= √25+25

= √50

= 7.07

= 7.1 (nearest tenth)

44 less than the product of 1 and x

Answers

The solution would be x-44!

Answer: -44

have a good day

:/

Which fractions are equivalent to 0.63? Select all that apply.

Answers

7/11, and 63/99 = .636363636 [repeating]

Please help me on this. I really need this done.​

Answers

The area hexagon using Lin's and Andre's method is:

By Lin's method = 93.48inch^2

By Andre's method = 93.53 inch^2

What is Mensuration ?

The field of mathematics known as mensuration explores how to measure geometric objects and their attributes, such as length, volume, shape, surface area, lateral surface area, etc.

By Lin's method

He parted the hexagon into six equilateral triangle

So, area of equilateral triangle = √3/4 × (side)^2

Since the given side = 6inch

Therefore,

                area of equilateral triangle = √3/4 × (6)^2

                                                              =√3/4 × 36

                                                              = √3 x 9

                                                              = 1.732 x 9

                                                              = 15.58inch^2

The area of hexagon will be = 15.58 x 6

                                               = 93.48inch^2

Now, By Andre's method

he parted two triangle and one rectangle

The triangle has two equal side that means its an isosceles triangle

Area of isosceles triangle using only sides = ½[√(a^2 - b^2/4) × b]

given,

base = 10.4 inch

side = 6 inch

Area of isosceles triangle using only sides = ½[√(a^2 - b^2/4) × b]  

                                                                       = ½[√(6^2 - 10.4^2/4) × 10.4]

                                                                       = ½[√(36 - 108.16 /4) ×10.4]

                                                                       = ½[√(36 - 27.04) × 10.4]      

                                                                       = ½[√(8.96) × 10.4]

                                                                       = ½[2.99 × 10.4]  

                                                                       = 15.56inch^2

for two triangles the area will be =    15.56 x 2

                                                      = 31.13 inch^2

Now, area of rectangle = length x width

where,

Length = 10.4 inch

Width = 6 inch

So,

     area of rectangle = 10.4 x 6

                                   = 62.4 inch^2

Then, The area of hexagon will be = area of rectangle + area of two triangle

                                                          = 62.4 inch^2 + 31.13 inch^2

                                                          = 93.53 inch^2

Hence, by both methods the area from Lin's method = 93.49 inch^2

and by Andre's method = 93.53 inch^2

To learn more about Mensuration click on the link

https://brainly.com/question/25292087

#SPJ9

a survey of magazine subscribers showed that 45.6% rented a car during the past 12 months for business reasons, 54% rented a car during the past 12 months for personal reasons, and 32% rented a car during the past 12 months for both business and personal reasons.

Answers

Probability that a subscriber rented a car during the past 12 months for business or personal reasons is 0.676, while the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons is 0.324

Part a

Probability that a subscriber rented a car during the past 12 months for business or personal reasons:

P(Business or Personal)

= P(Business) + P(Personal) - P(Both)

= 0.456 + 0.54 - 0.32

= 0.676

Part b

Probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons:

P(Did not rent for business or personal)

= 1 - 0.676

= 0.324

Learn more about probabilities here:

https://brainly.com/question/13468079

#SPJ4

In a randomly generated list of numbers from 0 to 6, what is the chance that
each number will occur?
OA. 1/6
B. 1/8
C. 1/6
O D. 1/9

Answers

The chance that each number will occur when a randomly generated list of numbers, generates the number from 0 to 6 is 1/7.

What is probability?

Probability is a field of mathematics that focuses on determining the possibility that an event will occur. The proportion of favorable outcomes to all other outcomes determines an event's chances or probability.

Given:

A randomly generated list of numbers from 0 to 6.The total number are 7 (0,1,2,3,4,5,6).

The chance that each number will occur is,

P = 1/7

Therefore, the chance that each number will occur when a randomly generated list of numbers, generates the number from 0 to 6 is 1/7.

To know more about probability visit:

https://brainly.com/question/10674960

#SPJ13

Find the exact value of y

Answers

In the right triangle, the value of y is 3√2

How to determine the value of y?

The right triangle represents the given parameter

On the right angle, the value of y can be calculated using the following sine rule

This is represented as

sin(angle) = Opposite/Hypotenuse

So, we have

sin(45) = y/6

Make y the subject

y = 6 * sin(45)

Evaluate

y = 3√2

Hence, the value of y in the right triangle is 3√2

Read more about right triangle at

https://brainly.com/question/2437195

#SPJ1

Suppose that 14 inches of wire costs 56 cents.
At the same rate, how many inches of wire can be bought for 44 cents?

Answers

by using the unitary method, 11 inches of wire can be bought for 44 cents.

We are given that:

14 inches of wire costs 56 cents.

14 inches = 56 cents

Now, by using the unitary method, we get that:

1 cent = 14 / 56 inches.

1 cent = 1 / 4 inches.

Now, for 44 cents, by using the multiplication, we get that:

44 cents = 1 / 4 inches × 44

44 cents = 11 inches.

Therefore, we get that, by using the unitary method, 11 inches of wire can be bought for 44 cents.

Learn more about unitary method here:

https://brainly.com/question/24587372

#SPJ1

If Calvin gets paid on the 15th and last day of the month, how many paychecks will he receive in
one year?
Will he receive the same number of paychecks if gets a paycheck
very two weeks? Y/N explain.

Answers

Answer:

24

Step-by-step explanation:

12 months in a year and Calvin gets 2 paychecks in one month

so 2 times 12 = 24 paycheck

No, because if he gets a paycheck every 2 weeks that would be about 4 paychecks in one month

so that would be about 48 paychecks in a year.

how to solve h(x)+4x-2 find h(-9)

Answers

Answer:

-9(×)+4×-2

-9×+4×-2

-5×-2

Answer: 10

Step-by-step explanation:

plugin -9 to the equation

-9x+4x-2

combine like terms

-5x - 2

10x

I think I am not sure though...

Question 7A: Keisha has $585.43 in her checking account. She must maintain a balance of $300 to avoid a fee. She wrote a check for $302.05 today. Write an inequality, using x for the variable, that would be used for the least amount of money she needs to deposit to avoid a fee.

585.43x - 302.05 ≥ 300
585.43 - 302.05 + x ≥ 300
585.43 - 302.05 + x ≤ 300
585.43x - 302.05 ≤ 300

Answers

The inequality that shows the least amount of money she needs to deposit to avoid a fee is 585.43 - 302.05 + x ≥ 300

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let x represent the least amount of money Keisha needs to deposit to avoid a fee. Keisha has $585.43 in her checking account and must maintain a balance of $300 to avoid a fee. She wrote a check for $302.05 today, Hence:

585.43 - 302.05 + x ≥ 300

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

1. Find all the real square roots of 0.0036. (1 po
0.06 and -0.06
0.0018 and -0.0018
0.1897 and -0.1897
0.6 and -0.6

Answers

The real square roots of 0.0036 will be A 0.06 and -0.06.

What are square root?

The result of multiplying a number by itself yields its square value, while the square root of a number can be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b."

It should be noted that this is a component of a number that yields the original number when multiplied by itself

The square root will be illustrated as:

= ✓0.0036

= 0.06 and -0.06

Therefore, the correct option is A.

Learn more about square root on:

https://brainly.com/question/3617398

#SPJ1

x^3 +2x^2 -19x -20 =0

x raise to Power 3 + 2 x raise to power 2 - 19 x - 20 equals to 0 solve ​

Answers

the answer is
x=-5
x=-1
x=4

Domain and range, HELP!

Answers

The function is decreasing because it is going down.

The domain is the set of x-values, which is [tex]x \leq 4[/tex] or [tex](-\infty, 4][/tex].

The range is the set of y-values, which is [tex]-6 \leq y < -1[/tex] or [tex][-6, -1)[/tex].

Other Questions
please help now i would realy apresheate it Using your knowledge of the Brnsted-Lowry theory of acids and bases, write equations for the following acid-base reactions a) HNO3 + OH- b) CH3NH2 + H2O c) OH- + HPO4-2 2) The compound NaOH is a base by the two of the theories we discussed in class. However, each of the ttwo theories describes what a base is in different terms. Use your knowledge of these ttwo theories to describe NaOH as an Arrhenius base, a Brnsted-Lowry base, 3) Write an equation for the reaction of potassium metal with hydrochloric acid.4) Write the names for the following acids and bases: a) KOH ____________________________________ b) H2Se ____________________________________ c) C2H3O2H ____________________________________ d) Fe(OH)2 ____________________________________ e) HCN ____________________________________ which one of the following would form a precipitate with po ions in aqueous solution? a) k b) nh c) ca d) none of these would form a precipitate. what is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations? (round your answer to four decimal places.) What is the length of XY Which nutrient-dense food contains both protein and monosaturated fat?A. beansB. avocadoC. cruciferous vegetablesD. kale Eight leaders and 143 members of a youth club go by bus to a bowling alley.The Beezer Bus Company has buses for hire that hold 32 passengers each.Each bus costs 140 to hire.The cost is split equaly between the members.The leaders do not pay.How much does each member need to pay to cover the cost of hiring the buses?....(3 m All are main food allergies except eggs sugar shellfish wheat someone help me asap ill give you 50 points Please select one of the following prompts to respond to in 200 words or less. 1) American social reformer, abolitionist, writer and statesman Frederick Douglass said, Some know the value of education by having it. I knew its value by not having it. Explain ways in which education has directly influenced you and your ability to do good in the world. How will you use the curricular flexibility and co-curricular opportunities of the University of Rochester experience to grow and to promote positive change for yourself, your community and the world?2) Dr. Donna Strickland, University of Rochester alum and 2018 Nobel Prize winner in Physics said, Theres no point in me being anything other than me. The University of Rochester encourages each student to embrace who they are and create their own individual curricular path and experience. How will you use the opportunities here to fully be who you are? What unique perspectives will you bring to our community?3) Susan B. Anthony, champion of abolition and womens rights, once said Organize, agitate, educate must be our war cry. As you look to join our community of doers and disruptors, in what ways do you envision using both the curricular flexibility and co-curricular opportunities to invoke change for marginalized groups?4) The University of Rochester benefactor entrepreneur, photography pioneer and philanthropist George Eastman said, What we do during our working hours determines what we have; what we do in our leisure hours determines what we are. Looking forward towards your college experience, what do you hope to do outside of the classroom at the University of Rochester that will enhance who you are as a person? How will specific academic and social opportunities here help you grow?Which short essay prompt above will you be responding to?*Frederick DouglassDr. Donna StricklandSusan B. AnthonyGeorge Eastman PLEASE HELP Create a scatter plot for the data below.Title the graph. Determine an appropriate scale for the x and y axis. Determine an appropriate interval for the x and y axis. Title the axes Write a paragraph supporting your opinion on the following question: Who played the most important role in exploring the Americas?(PLS ANSWER ASAP)a. Christopher Columbus b. Queen Isabella c. Amerigo Vespucci The speaker of Hughes's poem is successful in what he sets out to do at the start of the poem.True or False where are the Sonnet with bird three quatrains Today I was called to a particular conference at the residence of one of the bishops of this kingdom, along with many others of his rank and some other deputies from the nobility. There a certain formula of association was proposed, whose purpose was to break the last edict of pacification and to place the king at war against those of the so-called Protestant religion. . . . I remarked that it seemed to me that the king ought not to be counseled to go to war, because of the recent injuries the kingdom has suffered, and that anyone who favors civil war is ungodly and deserves our prayer. . . . Concerning the present formula of association, I say that I cannot sign it and call myself a servant of the king. I know that war is unjust if it is not conducted and undertaken by the king in his faithful and holy council.a) Describe one historical development illustrated by the passage.b) Describe Blancheforts argument regarding war against the Protestants. Name:15 Hannah took a trip to visit her cousin. She drove120 miles to reach her cousin's house and the samedistance back home. It took her 1.2 hours to gethalfway to her cousin's house. What was heraverage speed, in miles per hour, for the first 1.2hours of the trip? Hannah's average speed for theremainder of the trip to her cousin's house was 40miles per hour. How long, in hours, did it take herto drive the remaining distance? Traveling homealong the same route, Hannah drove at an averagerate of 55 miles per hour. After 2 hours her carbroke down. How many miles was she from home? 7. Let A=(8,9,10,11,12,13).n=a. How many subsets does A have?b. How many proper subsets does A have?subsets.a. A has(Type a whole number.)b. A has(Type a whole number.)proper subsets. if three sides of an equilateral triangle measures 3X +12, 8X -3 and 5Y plus one what is the value of X and Y in the length of each side Which of the following has highest boiling points propanol or hexanone? Which statement best describes the Siege of Boston in 1775?O The British tried to capture two important hills.O The Continental army lost many soldiers to desertion. The British tried to take back the city from colonists.O Colonists tried to take back the city from the British. Find the measure of the missing angles.