The sales at a baseball game vary directly with the number of people attending. If the sales for a game
are $12,000 when 800 people attend, determine how many people attend if the sales for a game are
$15,000.

Answers

Answer 1

Answer:

1,000

Step-by-step explanation:

$12,000÷800 =15. x=people attending

$15,000÷x=15. x=1,000

$15,000×1,000=15

Answer 2

Final answer:

Using the concept of direct variation, a constant of variation ($15 per person) was calculated using the provided sales and attendance. This constant was then used to find the attendance for a different sales amount, which was found to be 1000 people for $15,000 in sales.

Explanation:

The question asks us to determine how many people attended a baseball game based on the direct variation between sales and attendance. Since we know that at 800 people the sales are $12,000, we can set up a proportion to solve for the number of people when sales are $15,000.

First, we find the constant of variation (k) by dividing the sales by the number of people for the given data point:

k = Sales / Number of people = $12,000 / 800 = $15 per person

Next, we use this constant to find the number of people when sales are $15,000:

Number of people = Sales / k = $15,000 / $15 per person = 1000 people

Therefore, 1000 people attended the game when the sales were $15,000.


Related Questions

HELPPP, please:) super easy

Answers

Answer:

6.8

Step-by-step explanation:

Answer:

Just by approximating without a calculator, you would know it under the sqrt of 49, so it should be less than 7 and greater than 6 (sqrt of 36)

With a calculator and rounding, you will find that the answer is 6.8.

True or false 0.20 is equivalent to 2/100

Answers

Answer:

0.02 is equivalent to 2/100

therefore it is false

if i can have brainliest that would be great

Final answer:

The statement that 0.20 is equivalent to 2/100 is false. The correct equivalent fraction of 0.20 is 20/100, which simplifies to 1/5.

Explanation:

The question asks whether 0.20 is equivalent to 2/100. This is false. The decimal 0.20 is equivalent to 20/100, which simplifies to 1/5 when you divide the numerator and the denominator by the greatest common divisor, which is 20 in this case. To convert a decimal to a fraction, place the decimal number over its place value. Since there are two digits to the right of the decimal point in 0.20, you would put 20 over 100, which reduces to 1/5. On the other hand, 2/100 cannot be simplified further and remains as is. Thus, 0.20 is not equivalent to 2/100; it is actually ten times larger.

What is 3a2 + a2 added to a + 6?


Answers

The addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2 + a +6.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

We have to find when 3a^2 + a^2 added to a + 6.

3a^2 + a^2 + a +6

This cannot be added further because they do not have any like terms.

Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.

Those terms which have same variables raised with same power are like terms.

For example, 5t^3 and 6t^3 are like terms since variable is same, and it is raised to same power 3.

Thus, the addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2+ a +6

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[tex]4a^2 + a + 6[/tex] is the final expression represents the sum of the given terms.

To add the expressions 3a2 + a2 to a + 6, follow these steps:

Identify and group the like terms:3a2 + a2 for the squared termsa for the linear term6 for the constant termCombine the like terms:3a2 + a2 = 4a2Write down the final expression after addition:4a2 + a + 6

Thus, the result of adding the given expressions is[tex]4a^2 + a + 6.[/tex]

Is u = - 1/2 a solution of 8u - 1 = 6u

Answers

Answer:

-1/2 is not a solution

Step-by-step explanation:

8u-1 = 6u

Subtract 8u from each side

8u-1 -8u = 6u-8u

-1 = -2u

Divide each side by -2

-1 /-2 = -2u/-2

1/2 = u

Answer:

No, u = - 1/2 is not a solution of 8u - 1 = 6u

Step-by-step explanation:

[tex]8u - 1 = 6u \\ 8u - 6u = 1 \\ 2u = 1 \\ \\ u = \frac{1}{2} [/tex]

here we get u = +1/2

Which is true about the domains and ranges of the functions f(x) = 1/8 (x) and g(x) = 8(x) ?

Answers

Answer:

both have a domain and range of all real numbers

Step-by-step explanation:

Anderson’s Nursery was choosing between two different greenhouses.

2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.

Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.

Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.


Which statements are true about the greenhouses? Select two options.

The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.

Answers

Answer:

B and C

Step-by-step explanation:

Hope this helps!

Doing this question now! :)

Applying the appropriate volume formula for the square pyramid and prism, the statements that are true are: B and E.

What is the Volume of Square Pyramid?

Volume = 1/3(a²)h

What is the Volume of a Triangular Prism?

Volume = 1/2(a)(b)(h)

What is the Volume of a Rectangular Prism?

Volume = lbh

Space inside Greenhouse 1 = volume of rectangular prism + volume of square pyramid = lbh + 1/3(a²)h

= (12)(12)(10)  + 1/3(12)(12)8

= 1,824 m³

Space inside Greenhouse 2 = volume of rectangular prism + volume of triangular prism = lbh + 1/2(a)(b)(h)

= (12)(12)(10) + 1/2(12)(8)(12)

= 2,016 m³

Space inside Greenhouse 2 - Greenhouse 1 = 192 m³

The true statements are B and E.

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Terrance has $54.29 in his checking account. He needs to purchase a football uniform for $56.50. Should Terrence use his debit card or his credit card? Explain your reas

Answers

Answer:

credit because you can pay at the end of the month

i had this question before

if i can get brainliest that would be great

The weight, in grams, of eight different kiwis was used to create the box plot shown above. Which of the sets of numbers below matches the given box plot?
A.
Weights of Kiwis: 68, 73, 75, 75, 76, 76, 78, 80

B.
Weights of Kiwis: 68, 70, 75, 75, 75, 76, 77, 80

C.
Weights of Kiwis: 68, 72, 75, 75, 76, 76, 77, 80

D.
Weights of Kiwis: 68, 70, 72, 75, 75, 76, 78, 80

Answers

Answer:

Step-by-step explanation:

The answer is d because 75 is the medain of the kiwi fruit

The answer is 75 because it explain it

Circle C is shown. Line segments E C and F C are radii. Angle E C F is 109 degrees. Line segment A D is a chord. A line is drawn from point A to point B to form another chord. The measures of arcs B D and E F are congruent. Use the diagram to complete the statements. The measure of minor arc EF is °. The measure of angle DAB is °.

Answers

Answer:

109, 54.4

Step-by-step explanation:

In the circle, the measure of minor arc EF is 109° and the measure of angle DAB is 54.5°.

How to solve the circle?

From the complete information, the line segments EC and FC are radii, angle ECF is 109 degrees while the line segment AD is a chord.

In this case, the measure of minor arc EF will be the value of the angle given which is 109°. Also, the measure of angle DAB will be:

= 1/2 × 109°

= 54.5°

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HELPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
IF THEY ARE CORRECT ANSWERS I WILL MARK BRAINLIEST
2.094 2.702 which is greater than
2.75 2.6 which is greater than
8.235 8.1 which is greater than
21.337 21.31 which is greater than

Answers

Answer:

1- is 2.702

2- is 2.75

3- 8.235

4- 21.337

Step-by-step explanation:

Final answer:

The question involves comparing decimal numbers. The larger numbers for the pairs given are 2.702, 2.75, 8.235 and 21.337 respectively. The rule for comparing decimals is to start from the left and compare digits in the same position.

Explanation:

The question asks to identify which of the two numbers for each pair is larger. It's clear this involves a basic understanding of comparing decimals, which is a key skill in mathematics.

Between 2.094 and 2.702, 2.702 is greater.Between 2.75 and 2.6, 2.75 is greater.Between 8.235 and 8.1, 8.235 is greater.

  Between 21.337 and 21.31, 21.337 is greater.  

The rule for comparing decimals is to start from the left and compare digits in the same position. This way, you can identify which number is larger or smaller.

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The radius of a dog's collar

should be at least 0.5 inch larger than

the radius of the dog's neck. A dog collar

adjusts to a circumference of 10 to

14 inches. Should the collar be worn

by a dog with a neck circumference of

12.5 inches? Explain.

Answers

Answer:

No. The collar should not be worn by this dog.

Step-by-step explanation:

Please kindly go through the attached files for more explanation.

Final answer:

the collar is too small for the dog.

Explanation:

To answer whether the dog collar should be worn by a dog with a neck circumference of 12.5 inches, we must consider the information given: the dog's collar adjusts between a circumference of 10 and 14 inches and it should be at least 0.5 inch larger than the dog's neck circumference.

First, we calculate the radius of the dog's neck using the formula for circumference: C = 2πr. For a neck circumference of 12.5 inches, the radius (r) would be:

C = 2πr
12.5 = 2πr
r = 12.5 / (2π)
r ≈ 1.9875 inches

Now, to ensure comfort, the collar's radius should be at least 0.5 inch greater than the dog's neck radius. Adding 0.5 inch to the dog's neck radius gives us:

1.9875 inches + 0.5 inch = 2.4875 inches

Which means the collar's circumference should be at least:

C = 2πr
C ≈ 2π(2.4875)
C ≈ 15.63 inches

Given that the collar adjusts to a maximum of 14 inches, this would be too small for a dog with a neck radius as calculated. Therefore, the collar should not be worn by a dog with a neck circumference of 12.5 inches, as it would not accommodate the extra 0.5 inch needed for comfort.

Which of the following is a linear function?

y = 3x^2
y = 1 over 3x
y = x^3 + 5
2 over 3x = y − 1

Answers

Answer:

y= 1 over 3x

Step-by-step explanation:

I thought it was 2 over 3x but it was wrong so it has to be y= 1 over 3x

(SAT Prep) In the figure, what is the length of BC?
A. 25
B. 15
C. 18
D. 22

Answers

Answer:

I got 18 as my answer

Step-by-step explanation:

I made a triangle with the right side by dropping a vertical. Lets call the point straight down from C, E

Then I found the angle of D

sin θ = 5/13

θ = sin-¹(5/13)

θ≅22.619°

Then I found length of DE by

cosθ (remember we know what theta is) = X/13

12cosθ = X

X = 12

The length of DE is 12.

Since AD is 30, and the left side has two right angles we can do

AD - DE to find BC.

30-12 is 18

The length of BC is C. 18.

What is Pythagoras Theorem?

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

Given is a trapezoid.

First draw a perpendicular line from C to the segment AD.

Mark the intersecting point of line and AD by P.

We know that,

CP = BA = 5

Using Pythagoras theorem,

PD = √(13² - 5²) = √(169 - 25) = √144 = 12

Now, AP + PD = AD

AP = AD - PD

     = 30 - 12

     = 18

Now, BC = AP = 18.

Hence the length of BC is 18.

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y = 2×2square+ 4× - 2 value

Answers

Answer:

y=2(2x+3)

Step-by-step explanation:

y=2*2^2+4x-2

y=8+4x-2

y=4x+6

y=2(2x+3)

Jerrod’s family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which is the best estimate of the number of hours the family drove?
A.3 hours
B.4 hours
C.30 hours
D.40 hours

Answers

Answer:

Step-by-step explanation

61.7÷ 1778= 28.81

Choice C

Answer:

C

Step-by-step explanation:

Did the test on edge

Given: mlln

What is the value of x?

Answers

Answer:

x = 8°

Step-by-step explanation:

m II n

Alternate interior angles are equal.

6x - 2 = 46

6x = 46 +2

6x = 48

x = 48/6

x = 8

Answer:

8

Step-by-step explanation:

When you have a line intersecting parallel lines, the opposite interior angles are always the same.

46 + 2 = 48

48 / 6 = 8


IN UNIT TEST!
Rectangle PQRS is rotated 90° counterclockwise about the origin.

On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).

What are the coordinates of point Q’?
Q’( –3, 5)
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)

Answers

Answer:

(-3, 5)

Step-by-step explanation:

im assuming the orginal point q is (5, 3)

Based on the given scenario above, the coordinates of point Q  is known to be (-3, 5).

What is the points about?

Note that if a point P(x, y) is rotated 90° counterclockwise around the origin, one has to flip x and y and reverse the sign of y.

So, The rule to rotate a point P(x, y)  after a rotation 90° counterclockwise around the origin is said to be:

P(x, y) = P'(-y, x)

In this question, rectangle PQRS is rotated 90° counterclockwise about the origin.

The rectangle is said to have the coordinates:

P(2, 3)

Q(5, 3)

R(5, 1)

S(2, 1)

Therefore we look for the coordinates of the point Q’.

By using the rule to rotate a point P(x, y)  after a rotation 90° counterclockwise around the origin, then:

P(x, y) = P'(-y, x)

Therefore, coordinates of the point Q’ will be:

Q(5, 3)  = Q'(-3, 5)

Therefore, the coordinates of point Q' is:  Q'(-3, 5)

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the figure is the net for a rectangular prism. what is the surface area of the rectangular prism represented by the net? enter your answer in the box.

Answers

Answer:

544

Step-by-step explanation:

A sphere has a volume of 32/3 pie cubic units what is the radius of the sphere

Answers

Answer:

radius=2

Step-by-step explanation:

volume= 4/3 pi r^3

32/3pi=4/3r^3

divide out 4/3

8pi=r^3

cube root

r=2

someone help please!!

Answers

9) 3/10
10) 0
11) 2/5
12) 4/5

Answer:

9. 0.3

10. 0.0

11. 0.4

12. 0.3

Step-by-step explanation:

I am not 100% sure about this, but this is what I could come up with.

Solve for an angle in right triangles help

Answers

Answer:

26.39

Step-by-step explanation:

[tex] \sin(B) = \frac{AC}{AB} = \frac{4}{9} [/tex]

[tex]B = {sin}^{ - 1} = \frac{4}{9} [/tex]

[tex] = 26.387[/tex]

[tex] = 26.39[/tex]

Answer: 26.39 degrees

Step-by-step explanation: sin ^-1= 4/9

26.3877

Work out the surface area of a
cuboid 3cm by 3cm by 4cm?

Answers

Answer: 14 cm

Step-by-step explanation:

Answer:

It was 36 cm3

Step-by-step explanation:

3cm x 3 cm x 4 cm

=36 cm3

what is Pythagorean theorem

Answers

A^2+B^2=C^2, this formula is used to find the length of a hypotenuse only if the triangle is a right triangle (has a 90 degree angle)

Answer:

Pythagorean theorem - theorem that states that the sum of the squares of the two legs is equal to the square of the hypotenuse in a right triangle

2/7 converted to percentage

Answers

Look at the attached picture

Hope it will help u...:)

Answer:

Step-by-step explanation:

[tex]\frac{2}{7}*100=\frac{200}{7}\\\\=28.5714\\[/tex]

= 28.57% or

≈ 29%

Cait purchases a $20 item at a store. She uses a coupon to receive a 15% discount, and she pays a 6% sales tax on

the item. She calculates the total cost, in dollars, of the item using the expression shown.

en este

personen

in om

die pan en

Cait's Expression

(1.15)(1.06)(20)

A. Describe the error in the expression Cait used for her calculation.

B. Show or explain how you would calculate the total cost of Cait's purchase.

Type your answers in the space provided.

Answers

Answer:

A. Cait treated the discount as an increase

B.  (20) (1.06) (0.85)

Step-by-step explanation:

Hi, Cait treated the discount as an increase.

Cait multiplied the price (20) by the tax percentage (increase) 1.06  

Since the sale tax increase is 6% and it is added to the price we have to express it in decimal form (6/100=0.06) and add it to 1.

20 (1 +0.06) = 20 (1.06)

The coupon discount is subtracted to the price. So, the correct form is:

15/100= 0.15

20 (1-0.15) = 20 (0.85)  

Instead of this, Cait expressed the percent discount as a percent increase .

20 (1+0.15) = 20 (1.15)

The correct form is (20) (1.06) (0.85)

What’s the slope of this question

Answers

Answer:

i believe its 1.5

Step-by-step explanation:

its -4.5 crossing over the y-axis then 3 across divide that and get 1.5

(NEED HELP ASAP) plz UvU

Answers

Answer:

X equals 5

Step-by-step explanation:

Combine like terms

Please help me solve this question

Answers

Answer:

x=12

Step-by-step explanation:

The shapes are similar, so their corresponding sides will be proportionate

Use the bases and the right most sides to create the proportion

14/56=3/x

Cross multiply

14*x=56*3

14x=168

Divide both sides by 14

x=12

Answer:

missing side is x =12

Step-by-step explanation:

[tex]given \: that \: two \: figures \: are \: similar \\ correspondung \: sides \: are \: proportional \\ let \: us \: take \: any \: two \: sides \: \\ including \: the \: value \: of \: x \\ \frac{10}{40} = \frac{3}{x} \\ \frac{1}{4} = \frac{3}{x} \\ x = 3 \times 4 \\ x = 12[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Points and their residual values are shown in the table. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 3.3, 5, 6.2, 9., 13. The third column is labeled residual with entries 0.68, 0.04, negative 1.1, negative 0.64, 1.02. Which point is farthest from the line of best fit?

Answers

Answer:

3, 6.2

Step-by-step explanation:

Just took the assignment.

The point that is farthest from the line of best fit is : ( 3, 6.2 )

X(values)       y(values)            residual

1                    3.3                       0.68

2                   5                          0.04

3                   6.2                       -1.1

4                   9                          -0.64

5                   13                        1.02

To determine the line is best fit we graph the  plot of x and y values  ( i.e. a plot of  the y values against the x values  )

attached below is the plot showing the line of best fit

Hence From the attached residual plot we can conclude that the point that is farthest from the line of best fit is : 3(x axis ) and 6.2 ( y - axis )

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Suppose a bag contains 5 balls numbered 1 through 5. In how many way scan you select 5 balls from the bag if there is no replacement after selection?

Answers

Answer:

5

Step-by-step explanation:

We are being asked in how many ways an enumerated ball can be removed without any type of replacement, therefore it would be a combination without repetition:

nCr = n! / r! * (n-r)!

n, total number of balls, 5

r, specific number of balls, 1

5C1 = 5! / (1! * 4!) = 5

Therefore there are 5 ways to do the above.

Other Questions
Which type of element seeks to gain electrons In vertebrates, hormone production by the endocrine system is often controlled, either directly or indirectly, by the nervous system. Two endocrine glands in the brain, the hypothalamus and the pituitary gland, play central roles in integrating the nervous and endocrine systems. The hypothalamus receives input from nerves throughout the body and brain, and initiates a response via the pituitary gland. The pituitary gland is made up of the posterior pituitary and anterior pituitary, two separate glands that fuse together during development. Both the posterior pituitary and anterior pituitary release a number of hormones that send signals throughout the body. Some hypothalamic and pituitary hormones, and their abbreviations, are listed below. Hormone Abbreviation thyrotropin-releasing hormone TRH gonadotropin-releasing hormone GnRH antidiuretic hormone ADH thyroid-stimulating hormone (thyrotropin) TSH prolactin PRL follicle-stimulating hormone FSH luteinizing hormone LH Part A - Endocrine glands in the human brain Each of the following phrases describes the structure, function, or regulation of either the hypothalamus, posterior pituitary, or anterior pituitary. Sort the phrases into the appropriate bins depending on whether they describe the hypothalamus, posterior pituitary, or anterior pituitary. In this diagram, like segment AD is tangent and line segment AC is secant. If AB = 6 and BC = 18, what is the length of line segment AD? 1. Extreme nationalism is used to make people people proud of country and people.A. CommunismB. FascismC. BothD. Neither2. Inequality is seen as a good thing; it's natural for the strong to dominate the weak.A. CommunismB. FascismC. BothD. Neither 3. There is heavy investment in industry, road building, and infrastructure to provide jobs for people.A. CommunismB. FascismC. BothD. Neither4. Education, posters, demonstrations, and songs are forms of propaganda used it to influence people.A. CommunismB. FascismC. BothD. Neither5. Persecution and discrimination based on racial or ethnic differences is often used.A. CommunismB. FascismC. BothD. Neither6. Everyone has the right to question the government.A. CommunismB. FascismC. BothD. Neither7. Once elected or given power leaders then proceed to take away people's rights.A. CommunismB. FascismC. BothD. Neither At a school 1/4 of the students speak English and at least one other language of those students 2/5 speak Spanish what fraction of the students speaks Spanish ? TIME REMAINING01:54:29The International Labor Organization (ILO) is a global body responsible forA. setting basic labor standardsB. finding jobs for people in developing countriesC. helping unions and employers settle disagreementsD. creating college courses on the history of labor movementsPlease select the best answer from the choices provided.OOOOSave and ExitNextSubmitMark this and retumLvoid(0); 1. Lake Turkana is in the Great Rift Valley in northwest Kenya. As part of a study of water quality, the water temperature in the lake was measured at different depths. The data are shown in this scatter plot. Sheridans Company bought Special Products Division in Year 17 and appropriately recorded $743000 of goodwill related to the purchase. On December 31, Year 18, the fair value of Special Products Division is $5700000 and it is carried on Sheridan s books for a total of $4800000, including the goodwill. An analysis of Special Products Division s assets indicates that goodwill of $599000 exists on December 31, Year 18. What goodwill impairment should be recognized by Sheridans in Year 18 Find a value for m and n to make a true statement. a) mx^2 - 36 = (3x + 6)(3x - 6)b) (mx + ny)^2 = 4x^2 + 12xy + 9y^2 The burning of a sweet potato sample generates 102.5 kJ of heat. This heat was used to raise the temperature of 300 grams of water from its initial temperature of 15.5 degrees Celsius. Considering the specific heat of water is 4.184 J/g-degrees-C, what is the final temperature of the water Is (x +1) a factor of f(x) = x^3 + x^2 4x 4? Select the appropriate response:YesorNo Security Technology Inc. (STI) is a manufacturer of an electronic control system used in the manufacture of certain special-duty auto transmissions used primarily for police and military applications. The part sells for $42 per unit and had sales of 24,650 units in the current year, 2018. STI has no inventory on hand at the beginning of 2018 and is projecting sales of 27,950 units in 2019. STI is planning the same production level for 2019 as in 2018, 26,300 units. The variable manufacturing costs for STI are $13, and the variable selling costs are only $0.40 per unit. The fixed manufacturing costs are $184,100 per year, and the fixed selling costs are $630 per year.1. Prepare an income statement for 2012 and 2013 using full costing.2. Prepare an income statement for 2012 and 2013 using variable costing.3. Prepare a reconciliation and explanation of the difference each year in the operating income resulting from the full- and variable-costing methods. At the beginning of a snowstorm, Tristan had 3 inches of snow on his lawn. The snow then began to fall at a constant rate of 1.5 inches per hour. Assuming no snow was melting, how much snow would Tristan have on his lawn 4 hours after the snow began to fall? How much snow would Tristan have on his lawn after ttt hours of snow falling? work out the next term of this quadratic sequence 6 9 15 24 Jamal does not produce enough insulin to regulate his blood sugar. What part of the endocrine system is most likely being affected? Adrenalgland Pancreas Pituitary gland Testes The reactant concentration in a zero-order reaction was 5.00102 M after 195 s and 2.50102 M after 385 s . What is the rate constant for this reaction? Express your answer with the appropriate units. Indicate the multiplication of units, as necessary, explicitly either with a multiplication dot or a dash. Simplify each equation. Tell whether the equation has one, no, or infinitesolutions.5x + 6 = 2 + 3xno solutionsoneinfinite solutions10pts will mark brainliest if right What happens to particles when heat is removed from them?Question 7 options:They speed up and spread outThey stop moving They stop movingThey slow down and get closer togetherThey move closer together and speed up SHOW ANSWER The transition of society and men from the state of nature into the Leviathan demonstrates how the Right of Nature can be dismantled by fear, resulting in the entrapment of society into an oppressively dominant, yet free, form of control called the Law of Nature.True / False. For this paper, you will research the life and career of Milton Friedman providing an overview of his life and main economic theories paying particular close attention to the finer points of the Friedman doctrine. The paper should focus on these main ideas and use at least 3 outside resources: 1. What was Friedman's educational background