At a vacation resort, you can water ski for $35 per hour plus a $20 fee for equipment rental. Your bill came to $125. How many hours did you water ski?

Answers

Answer 1

Answer:

3

Step-by-step explanation:

if $35 is per hour plus 20=

35+20=55

55+35=90

90+35=125

So that would mean you would have water skied for 3 hours

Answer 2

The number of hours is 3 hours

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

water ski for $35 per hour plus a $20 fee for equipment rental.

So, total bill = $125

So,

=$125 -20

=$105

Now, the number hours

=105/35

= 3 hours

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Related Questions

Which expression represents the
number of reams of paper the company
produced during the second year?

Which expression represents thenumber of reams of paper the companyproduced during the second year?

Answers

The expression that represents the number of reams of paper the company produced during the second year is 4.704 × 10¹⁰. The correct option is D. 4.704 × 10¹⁰

Writing an Expression

From the question, we are to determine the expression that represents the number of reams of paper the company produced during the second year

From the given information,

During the first year of operation,

The company produced 8.4 × 10⁹ reams of paper

And

During the second year,

the company produced 5.6 times the number of reams of paper that it produced during the first year.

Thus,

The number of reams of paper the company produced during the second year = 5.6 × 8.4 × 10⁹ reams of paper

The number of reams of paper the company produced during the second year = 47.04 × 10⁹ reams of paper

= 4.704 × 10¹ × 10⁹ reams of paper

= 4.704 × 10¹⁰ reams of paper

Hence, the expression that represents the number of reams of paper the company produced during the second year is 4.704 × 10¹⁰. The correct option is D. 4.704 × 10¹⁰

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1/3 as a decimal and percent please answer !!

Answers

Answer:

decimal: .3333(repeatin)

percent:33.333333...%

Step-by-step explanation:

hope this helpss

have a good night

nd good luck w thiss

Answer:

Decimal: .33

Percent: 33%

Step-by-step explanation:

To get the decimal, you divide the top number by the bottom number. So you divide 1 by 3, which equals .33

To get the percentage, you move the deciaml back twice.

.33 -> 3.3 -> 33.=33%

What is the relative maximum point for the function shown on the graph?
A)(0, -1)
B)(-3,0)
C(-2,-5)
D)(2,5)
Helpppp plzzz

What is the relative maximum point for the function shown on the graph?A)(0, -1)B)(-3,0)C(-2,-5)D)(2,5)Helpppp

Answers

Answer:

A)     (0, -1)

Step-by-step explanation:

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph)

(0, -1)

In triangle OPQ, p = 38 cm, q = 29 cm and Angle O=39º. Find the length of o, to the nearest
centimeter.

Answers

Answer:

The length of o is 24 centimeters

Step-by-step explanation:

In Δ OPQ

∵ Side p is opposite to ∠P

∵ Side q is opposite to ∠Q

∵ Side o is opposite to ∠O

→ To find side o we must use the cosine rule

∴ o = \(\sqrt{p^{2}+q^{2}-2(p)(q).cos(O) }\)

∵ p = 38 cm

∵ q = 29 cm

∵ m∠O = 39°

→ Substitute them in the rule to find o

∴ o = \(\sqrt{(38)^{2}+(29)^{2}-2(38)(29).cos(39)}\)

∴ o = 23.92008154

→ Round it to the nearest centimeter (whole number)

o = 24 centimeters

The length of o is 24 centimeters

Hi, need help. The tutor helped me with a and b already need help with the rest

Hi, need help. The tutor helped me with a and b already need help with the rest
Hi, need help. The tutor helped me with a and b already need help with the rest
Hi, need help. The tutor helped me with a and b already need help with the rest

Answers

The probability for at least 31 seeds is given by:

\(P(x\geqslant31)=P(31)+P(32)+\ldots+P(53)=0.99263653354145\)

Hence the probability for at least 31 seeds is 0.99263653354145.

The probability for at more than 31 seeds is given by:

\(P(x>31)=P(32)+P(33)+\ldots+P(53)=0.98435430184374\)

Therefore, the probability for more than 31 seeds is 0.98435430184374.

The probability for between 16 and 35 seeds is given by:

\(P(16\leqslant x\leqslant35)=P(16)+P(17)+\ldots+P(35)=0.1615\)

Hence the probability for between 16 and 35 seeds is 0.1615.

.

.

What is the value of b?
25-15
3b +25

What is the value of b?25-153b +25

Answers

Answer:

B=34

Step-by-step explanation:

2b-15+3b+25=180

5b+10=180

5b=170

b=34

Find the area and perimeter the Gym, Cafeteria, and Locker
Room drawn in the blueprint.
Type the area in the top
bubble and the perimeter in the bottom bubble. Do not worry about the
doorways when calculating perimeter. (Numbers only)

Find the area and perimeter the Gym, Cafeteria, and LockerRoom drawn in the blueprint.Type the area in

Answers

Answer:

Gym: A=100 P=41

Cafeteria: A=144 P=48

Locker room: A=75 P= 37

Need help ASAP pls !!!!!

Need help ASAP pls !!!!!

Answers

Answer:

growth and .09% increase I believe

Step-by-step explanation:

(ECSEPTEMBER 2019) QUESTION 8 8.1 8.2 Determine f'(x) from first principles if f(x) = 3 - 2x² Determine: 8.2.1 D₂[x(x-2)²] 8.2.2 dx MATHEMATICS PI if y = ax 2x √x +3​

Answers

After differentiating the function f(x)=3 - 2 x ², we get the result as d y / d x = - 4 x

Differentiation is a process applied to a function which finds the function's rate of change compared to the rate of change of the independent variable.

We are given the function as:

f(x)=3 - 2 x ²

We need to find d y / d x

For this we need to differentiate the function with respect to x.

Differentiating the function with respect to x, we get that:

d y / d x = ( 0 ) - 2 ( 2 x ) ( 1 )

d y / d x = 0 - 4 x

d y / d x = - 4 x

Therefore, after differentiating the function f(x)=3 - 2 x ², we get the result as d y / d x = - 4 x

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Which expression is equivalent to (2.9)4? HELP ASAP

Which expression is equivalent to (2.9)4? HELP ASAP

Answers

Answer:

2^4   * 9^4

Step-by-step explanation:

(2*9)^4

We can take the power to each term inside the parentheses

2^4   * 9^4

Mathematics

Find the rate

What percent of 200 is 50?
What percent of 50 is 40?
What percent of 10 is 6?
200 is what percent of 200?
What percent of 800 is 200?

Show your solution, HELP PLS ASAP!!!

I'LL GIVE 20 POINTS!!

Answers

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

can you help me solve these and you will be made brainlest

can you help me solve these and you will be made brainlest

Answers

In the given graph, the slope of the line is 2

Calculating the slope of a line

From the question, we are to determine the slope of the line in the diagram.

The diagram shows a straight line of the graph.

To determine the slope of the line, we will determine two points on the line and then use the slope formula to determine slope.

The slope is

Slope = Change in y / Change in x = (y₂ - y₁) / (x₂ - x₁)

Picking the points (-1, -1) and (0, 1)

Thus,

Slope = (1 - (-1)) / (0 - (-1))

Slope = (1 + 1) / (0 + 1)

Slope = 2/1

Slope = 2

Hence,

The slope of the line is 2

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what number is 100 more than 152

Answers

Answer:

252

Step-by-step explanation:

252-

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful for who u r, not wht u look like. no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Miklós is filling a questionnaire online. In the diagram, the grey colour indicates the proportion of questions he has already completed.

How many questions are left if he has answered 16 questions so far?
image of the questionnaire attached

Mikls is filling a questionnaire online. In the diagram, the grey colour indicates the proportion of

Answers

Answer:

e=123444565666 i hope it helps :}}

Step-by-step explanation:

Justice needs 24 feet of fencing to surround his garden. The fencing is priced at $0.25 per inch how much will it cost justice to fence in his garden?

Answers

Answer:

66 dollars

Step-by-step explanation:

Justice needs $72 to fence in his garden.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Justice needs 24 feet of fencing to surround his garden.

The fencing is priced at $0.25 per inch.

Since, 1 foot = 12 inch

Hence, 24 feet = 24 x 12 inch = 288 inch.

Cost of the fencing in one inch = $0.25

So, Cost of the fencing in 288 inch = 288 x 0.25

                                                      = $72

Thus, Justice needs $72 to fence in his garden.

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The equation
V
=
23900
(
0.91
)
t
V
=
23900
(
0.91
)
t
represents the value (in dollars) of a car
t
t
years after its purchase. Use this equation to complete the statements below.
The value of this car is at a rate of

The purchase price of the car was .

Answers

Answer: The equation represents the value (in dollars) of a car t years after its purchase, so the purchase price of the car would have been the value of the car when t = 0. Plugging in t = 0 into the equation, we get:

V = 23900 * (0.91)^0

V = 23900

So the purchase price of the car was $23,900.

Regarding the rate of decrease in the value of the car, we can observe that the value decreases at a rate proportional to (0.91)^t, so the rate of decrease is proportional to 0.91.

Step-by-step explanation:

The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator

Answers

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

which of the following functions represent the graph g(x) above

Answers

The function represented by the graph given is equivalent to -

g(x) = (x - 4)².

The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -

f(x, y) → f(x - 4, y)

So, we can write the function as -

g(x) = (x - 4)²

So, the function represented by the graph given is equivalent to -

g(x) = (x - 4)²

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which of the following functions represent the graph g(x) above

You have a combination lock with 3 secret digits. Find the 3 correct digits using the following clues

You have a combination lock with 3 secret digits. Find the 3 correct digits using the following clues

Answers

Answer:

987

Step-by-step explanation:

Clue 4: There is no 2, 4, 5.

Clues 1 & 2: There is no 1.

7 must be on the right.

_ _ 7

Clue 5: 9 is in the first or second place

9 _ 7   or   _ 9 7

937 or 987 or 397  or 897

Try all 4 possibilities above through all 5 clues.

Only 987 works.

Answer: 987

Listed below is a table showing the number of employees. 20 years or older by gender in the United states

Answers

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

How to find the employment figures ?

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Listed below is a table showing the number of employees. 20 years or older by gender in the United states

.
Five more than the product of a number and 8 equals 9.
Use the variable b for the unknown number.

Answers

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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District size in 1790
The U.S. population in 1790 was 3,615,920, and the House size was set at 105.
The ideal congressional district size (Standard Divisor) in 1790 was [answer].
(Give your answer rounded to one decimal place.)

Answers

The ideal congressional district size (Standard Divisor) in 1790 was 34437.33.

What is Standard divisor?

The number of persons each House of Representatives seat represents is known as the "Standard Divisor" (SD). By dividing the total population of all the states by the total number of seats available for voting, the SD is determined. SD is calculated as Total U.S. Population / Total Number of Voting Seats.

The ratio of the entire population to the available seats (or other allocations) is known as the standard divisor. • The Hamilton system divides up any extra seats among the states with the largest fractional parts after allocating each state its lower quota initially.

Given,

population in 1790 was 3,615,920,

number of objects = 105

⇒ Standard divisor = total population / number of objects

⇒ Standard divisor = 3,615,920 / 105

Standard Divisor = 34437.33

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Activity 6 Real-World Problems: Addition
Solve. Show your work. Draw bar models to help you.
Alan had some stamps at first. After Brandon gave Alan 163 stamps,
Alan had 1,325 stamps and Brandon had 720 fewer stamps than
Alan. How many stamps did Brandon have at first?

Answers

An equation is a mathematical statement that shows that two mathematical expressions are equal.

The number of stamps Alan had at first is 931 stamps.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

We have,

Let the number of stamps Brandon had = N

After Brandon gave Alan 163 stamps, Alan had 1,325 stamps and Brandon had 720 fewer stamps than Alan.

This can be written as:

1325 - (N - 163) = 720

1325 - N + 163 = 720

1325 + 163 - 720 = N

N = 768

So,

The number of stamps Brandon had at first is 768 + 163 = 931

Therefore the number of stamps Alan had at first is 931 stamps.

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Help me by please this is kinda hard for my child and I forgot it

Help me by please this is kinda hard for my child and I forgot it

Answers

It's 6!

When you multiply both the numerator and denominator by the same number, you will have an equivalent to the fraction you started with because the new fraction can be reduced to the original fraction.

2/3 = 4/6 = 6/9 = 8/12 = 10/15 = 12/15 etc.

The table shows the height of water in a pool as it is being filled.

A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24.
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?

The height of the water increases 2 inches per minute.
The height of the water decreases 2 inches per minute.
The height of the water was 2 inches before any water was added.
The height of the water will be 2 inches when the pool is filled..

Answers

Answer:

16

Step-by-step explanation:

17 The table below shows the distance a car has traveled.
50
20
f
40
Minutes
Distance
Traveled
(in miles)
What is the meaning of the slope of the linear model for the data?
60
100
a) The car travels 5 miles every minute.
b) The car travels 4 miles every minute.
c) The car travels 4 miles every 5 minutes.
d) The car travels 5 miles every 4 minutes.
125
80
100

Answers

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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Simplify each expression using the Order of Operations.

8-6 divided by 2+3 X 5

Answers

Answer:

8 - 6 ÷ 2 + 3 × 5

8 - 3 + 15

5 + 15

20

can you please help me with this

can you please help me with this

Answers

Sathish will be going to pay a total of $64.8 for the gas.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

The First 150 and last 150 km will cover by Satish only

Since 6 liters covers 100 km

So,

Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6

Now,

The journey 2100 - 300 = 1800 km has been covered by all three

Split 1800/3 = 600 km of money Satish will pay

So,

Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2

Total paid = 21.6 + 43.2 = 64.8.

Hence "Satis will be going to pay a total of $64.8 for the gas".

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HELP HELP HELP HELP FIND THE VALUE OF X

HELP HELP HELP HELP FIND THE VALUE OF X

Answers

Answer:

x=9

Step-by-step explanation:

The sum of all three angles inside a triangle is always 180 and the small square in the bottom left corner means that that is a 90 degree angle.

90+5x+5x=180

add the x values together

90+10x=180

subtract 90 from both sides

10x=90

divide both sides by 10

x=9

Determine which of the following statements are true for the function? ( function is in photo)

Determine which of the following statements are true for the function? ( function is in photo)

Answers

Given the following function:

\(g(x)=4x^5-3x^6+2x^3-1\)

The given function has a degree = 6 (the greatest exponent)

And the leading coefficient is negative = -3

So, the function has the following end behavior:

\(\begin{gathered} x\rightarrow\infty,g(x)\rightarrow-\infty \\ x\rightarrow-\infty,g(x)\rightarrow-\infty \end{gathered}\)

So, the answer will be option D

Other Questions
im so confused can i have the method as well? 2(x+3)=x-4 Imagine that you are a merchant in Philadelphia, which served as the nation's capital during most ofWashington's presidency. Identify and explain a decision you might make to turn a quick profit. Then, identifyand explain a decision you might make to ensure long-term growth and stability for your business. Which of the following would be considered a competitor or Corals and a direct threat to coral reefs?ZooxanthellaeGreen AlgaeCrown of Thorns Sea StarCoralline Red AlgaeRainbow Parrot Fish find all other zeros of P (x)= x^3-2x-4, given that -1-i is a zero. ( if there is more than one zero, separate them with commas.) PC Shopping Network may upgrade its modem pool. It last upgraded 2 years ago, when it spent $135 million on equipment with an assumed life of 5 years and an assumed salvage value of $30 million for tax purposes. The firm uses straight-line depreciation. The old equipment can be sold today for $100 million. A new modem pool can be installed today for $180 million. This will have a 3-year life and will be depreciated to zero using straight-line depreciation. The new equipment will enable the firm to increase sales by $23 million per year and decrease operating costs by $11 million per year. At the end of 3 years, the new equipment will be worthless. Assume the firms tax rate is 35% and the discount rate for projects of this sort is 11%.a. What is the net cash flow at time 0 if the old equipment is replaced? (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)b. What are the incremental cash flows in years 1, 2, and 3? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)c. What are the NPV and IRR of the replacement project? (Do not round intermediate calculations. Enter the NPV in millions rounded to 2 decimal places. Enter the IRR as a percent rounded to 2 decimal places.) According to the endosymbiotic theory, which cellular process was involved in the evolution of mitochondria and chloroplasts?symbiosisphagocytosisendosymbiosisphotosynthesis Mr. B rented out his shop to Mr. Z at Rs. 150,000 per month with effect from 1.1.20X8 and received R. 800,000 as deposit not adjustable against rent payable. Previously the shop was given to Mr. Y in the tax year 20X5 at Rs. 100,000 per month and received deposit of Rs. 500,000 from Mr. Y who vacated the shop on 30.9.20X7 and the deposit of Rs. 500,000 was duly refunded to him.In the month of November 20X7 Mr. B entered into an agreement to sell the shop with Mr. X and received Rs. 200,000 as token money. Mr. X backed out resulting into forfeiture of the said token money.Property related expenses were Rs. 380,000 including repairs and maintenance of the shop Rs. 80,000 Approximately how much rum did Americans consume per year during this era? according to the biological species concept, which mechanism is not a mechanism of reproductive isolation? Identify an equation in standard form for an ellipse with its center at the origin, a vertex at (9, 0), and a co-vertex at (0, 1). Four integers have a mean of 9, a median of 8.5, a mode of 5 and a range of 9.Find the four integers. A roller coaster is stationary at the top of a ramp.What is the kinetic and potential energy of the roller coaster?A Potential energy: highkinetic energy: zeroB potential energy: zerokinetic energy: highC potential energy: highkinetic energy: highD potential energy: zerokinetic energy: zero The cost d of a hotdog is $1 more than half the cost of a sandwich s. Match the component of health to the action to enhance this area of health. HELP NEEDED!!!!Which of the following explains an effect of the Six-Day War of 1967? (4 points)If anyone has a similar test or question like this and knows the answer by all means, please. What is Daisys real reaction to Gatsbys party? Why do you think she reacts this way? THE GREAT GATSBY SOMEONE HELP QUICKLY! Can someone help me solve these or explain it to me? The polynomial p is a function of x. The graph of p has four zeros at -4, -2/3, 0, and 9Select all the expression that could represent p.A-3x(x + 4)(3x + 2)(x - 9)B3x(x 4) (x + 3)(x +9)3x(x + 4)(2x - 3)(x -9)D- x(x + 4) (x + })(x 9)E-3x(x + 4)(3x + 2)(x - 9)2 In the rational model of decision making, evaluation of alternatives Multiple Choice is the only step that requires subjective rationality. is the last step. should be as objective as possible. can only be done with the help of a decision tree. How would you write 0.5 Repeating as a fraction