Danny is painting a doghouse to make it durable he will paint all sides including the bottom the dog house is shaped like a rectangular prism with a triangular prism on top as shown how many cans of paint does Danny need to cover the doghouse if each can covers 20ft squared

Answers

Answer 1

Answer:

15 cans

Step-by-step explanation:

There are two shapes that make up the dog house, they are the triangular and rectangular prism, with the combination of a semi-circle and rectangle as the door opening.

The area of a rectangle for the top ( T ) and bottom ( B ) side view:

top height = 3ft, and width= 8ft

bottom height = 4.5ft, width= 8 ft

Area ( T ) = 3 X 8 = 24 ft^2

Area ( B ) = 4.5 X 8 = 36ft^2

The front and back view is a triangle and rectangle:

area of triangle = 1/2 x base x height

with the base = 4ft,   and  sides= 3 ft

height = sqrt( side^2 - (1/2 height)^2 )^0.5

          = sqrt( 9 - 4 )  = 2.235

area of triangle( front and back )  = 1/2( 4 x 2.235 ) = 4.47 ft^2

area of rectangle ( back ) = 4 x 4.5 = 18ft

The entrance is a rectangle with area = 2.5 x 2 = 5ft^2

and semi-circle with area = (πr^2)/2 = (3.14 x 1^2)/2 = 1.57ft^2

area of entrance = 5 + 1.57 = 6.57ft^2

area of front view = 18 - 6.57 = 11.43ft^2

the total area of the doghouse is = 11.43 + 18 + 72 + 48 + 8.94  = 158.37ft^2

this is for just the outside. to get the total for inside and outside:

      158.37 x 2 = 316.74ft^2

total area per paint can = 20ft^2

total number of cans needed = 316.74 / 20  = 15 paint cans

Answer 2

Answer:

6 cans are needed to paint the dog house.

Step-by-step explanation:


Related Questions

An isosceles triangle has a vertex angle of 26°. Two sides of the triangle are each 15 ft long. Find the area of the triangle. A. 9.931 sq ft B. 98.629 sq ft C. 45.543 sq ft D. 49.314 sq ft

Answers

Answer:

D. 49.314 ft²

Step-by-step explanation:

Area = 1/2 s² sinФ

= 1/2 * 15² * sin(26)

= 49.314 ft²

Rebecca is saving money to purchase a laptop, which costs $1,099.51. She has already saved $354.20 and plans to continue
saving $50.60 per week. Which inequality could be used to find w, the number of weeks that Rebecca must save in order to
purchase the laptop?
OA $354.20 + $50.60w < $1,099.51
OB. $354.20w+ $50.60 $1,099.51
OC $354.20 + $50.60w< $1,099.51
OD. $354.20 + $50.60w $1,099.51

Answers

Answer:

354.20 + 50.60w ≥ 1099.51

Step-by-step explanation:

354.20 + 50.60w ≥ 1099.51

help please! Darren is finding the equation in the form y = m x + b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation? a) –34 b) –19 c) 2 d) 14

Answers

Answer:  d) 14

Step-by-step explanation:

Equation of a line passing through (a,b) and (c,d):

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Equation of a line passing through (2, 18) and (–3, 8):

[tex](y-18)=\dfrac{8-18}{-3-2}(x-2)\\\\\Rightarrow\ (y-18)=\dfrac{-10}{-5}(x-2)\\\\\Rightarrow\ (y-18)=2(x-2)\\\\\Rightarrow\ y-18=2x-4\\\\\Rightarrow\ y=2x-4+18\\\\\Rightarrow\ y=2x+14[/tex]

Comparing resulting equation [tex]y=2x+14[/tex] to [tex]y = m x + b[/tex], we get value of b= 14.

Hence, correct option is d) 14

Joey intends to roll a six-sided number cube 100 times. What probability model can he use to predict whether or not each roll will give a result that is divisible by 3?

Answers

Options :

A. Each roll has a 0.117 probability of being divisible by 3.

B. Each roll has a 0.333 probability of being divisible by 3.

C. Each roll has a 0.5 probability of being divisible by 3. D. Each roll has a 0.667 probability of being divisible by 3.

Answer: B. Each roll has a 0.333 probability of being divisible by 3.

Step-by-step explanation:

Sample space for a six-sided number cube :

1, 2, 3, 4, 5, 6

Number of outcomes divisible by 3:

(3, 6) = 2

Probability of an event = Number of required outcomes / total number of possible items

Probability (getting a number divisible by 3):

(Number of outcomes divisible by 3 / total outcomes in sample space)

Probability (getting a number divisible by 3):

2 / 6 = 1/3

= 0.333

Write a function rule for the table
х
f(x)
0
3
1
4
2
5
3
6

Answers

Answer:

  f(x) = x +3

Step-by-step explanation:

The first differences for adjacent x-values are all 1, so this is a linear function. Because those differences are all 1, it is a linear function with a slope of 1. We observe that f(0) = 3, so that is the y-intercept.

__

The slope-intercept form of a linear function is ...

  y = mx + b . . . . . where m is the slope (1) and b is the y-intercept (3).

A suitable function rule is ...

  f(x) = x +3

Find the area of quadrilateral...

Answers

Answer:

Total area = 29.8 sq. units

Step-by-step explanation:

area of each triangle =  sqrt(s * (s-a) * (s-b) * (s-c))

to get the value of s, use the semi-perimeter = s = perimeter / 2

Total area = area of triangle ABD + area of triangle ACD

semi-perimeter of ABD = (3.48 + 8.66 + 8.6) / 2 = 10.37

semi-perimeter of ABD = (3.54 + 8.84 + 8.6) / 2 = 10.49

area of triangle ABD = sqrt(10.37 * (10.37-3.48) * (10.37-8.66) * (10.37-8.6))

area of triangle ABD = 14.7 sq. units

area of triangle ACD = sqrt(10.49 * (10.49-3.54) * (10.49-8.84) * (10.49-8.6))

area of triangle ACD = 15.08

Total area = 14.7 + 15.1

Total area = 29.8 sq. units

In this activity, you will help Darin compare the unit prices, in price per pound, of clementines and navel oranges. Clementines are sold in three-pound bags, and navel oranges are sold by the pound. The table represents the cost of three-pound bags of clementines. Number of Bags Cost 1 $5.00 2 $10.00 3 $15.00 The equation c = $1.49p represents the cost of the navel oranges, where c is the cost and p is the number of pounds. Darin needs to know the price per pound of clementines. What needs to change in the table so that the data on clementines is in units of pounds and cost?

Answers

Answer:

The table gives the cost for the number of three-pound bags of clementines. you need to change the number of bags to pounds to be able to get the data for the clementines in units of pounds and cost.

Step-by-step explanation:

each of the bags are three pounds each so 1 bag times 3, 2bags times 3, and then 3bags times 3, hope this answers your question.

The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that Clementines are sold in three-pound bags, and navel oranges are sold by the pound

The table represents the cost of three-pound bags of clementines.

Number of Bags           Cost

      1                             $5.00

     2                              $10.00

      3                             $15.00

The equation c = $1.49p represents the cost of the navel oranges, where c is the cost and p is the number of pounds.

The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ2

trigonometry help got one right need help with another

Answers

Answer:

B. [tex] \frac{HI}{GI} [/tex]

Step-by-step explanation:

The trigonometric ratio formula for tangent of any angle in a right triangle is given as:

tan(θ) = [tex] \frac{opposite}{adjacent} [/tex]

Note: it is the length of the side opposite to the θ, and the length of the side adjacent to θ.

Thus, in the right triangle given, ∆GHI,

θ = <G

The length of side the opposite <G = HI

The length of the side adjacent to <G = GI

Therefore, the equivalent of tan(<G) = [tex] \frac{HI}{GI} [/tex]

Solve for X

1.) 5(4)^x=320 solve for x

2.) 7 (1/3)^x=7/27 solve for x

Answers

Answer:

[tex]5(4)^x=320\\\frac{5(4)^x}{5}=\frac{320}{5}\\ 4^x=64\\x*(log(4) )=log(64)\\x=\frac{log(64)}{log(4)}\\ x=3[/tex]

Step-by-step explanation:

The largest circular shape my piece of string can form has a diameter of 8 cm long. How long is the diameter of the largest circular shape that half my piece of string can form?

Answers

Answer:

4 cm long

Step-by-step explanation:

since the original diameter was 8cm long we need to cut 8 in half. this leaves us with 4cm which is the diameter of the largest circular shape that half piece can form.

The diameter is also known as the length of lines from the center which connects two points of the circle's edge.The radius of a circle is the distance between both the circle's center as well as the location of its circumference. "r" is commonly used to refer to it.It is because the original diameter was 8 cm in length. Thereafter, we have 4 cm of circumference left to play with.Therefore the answer is "4 cm".

Learn more:

Diameter: brainly.com/question/5501950

Peter is making green paint by mixing blue and yellow paint in a cuboid container, shown below. The container has width of 30cm and length of 40cm and is full. He mixes blue paint and yellow paint in the ratio 2: 3. Peter uses 8.4 litres of blue paint. Calculate the height of the container

Answers

Answer: height = 17.5cm

Step-by-step explanation: Peter mixes blue and yellow paint in the ratio 2:3, which means:

[tex]\frac{2}{3} = \frac{8.4}{x}[/tex]

[tex]x = \frac{8.4*3}{2}[/tex]

x = 12.6L

The container is full with the two paints, so total volume:

V = 12.6 + 8.4

V = 21L

Knowing that 1L = 1dm³ and sides of cuboid is measure in cm:

V = 21dm³ = 21000cm³

Volume of a cuboid is calculated as:

V = width*length*height

Height of the container is

height = [tex]\frac{V}{width*length}[/tex]

height = [tex]\frac{21000}{30*40}[/tex]

height = 17.5cm

The height of the container is 17.5cm.

HELP ASAP!!!! URGENT!!! LOOK AT SCREENSHOT! Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text. Select one: a. Points: A, B Line segments: bar(AB) b. Points: A, B, C, D Line segments: bar(AB) c. Points: A, B, C, D Line segments: bar(AB), bar(BC), bar(CD), bar(AD), bar(BD), bar(AC) d. Points: A, B, C, D Line segments: bar(AB), bar(AC), bar(BD)

Answers

Answer:

the answer is D

0,2,4,0,2,3,2,8,6

What is the mean?
What is the median?!
What is the first quartile (Q1)?!
What is the third quartile (Q3)?
What is the minimum?
What is the maximum?
What is the interquartile range of the data?!

Answers

Answer:

LOOK BELOW

Step-by-step explanation:

Mean= add all of the numbers together and divide by total amount of

            numbers

            aka=3

Median= put all the numbers in order and find the number in the middle

               aka=2.5

Minimum=0

Maximum=8

This data can only be found using a Box and Whisker Plot....

I can't really explain a box and whisker plot so you have to look that up to understand that..  SRY!!!

------------------------------------

First Quartile=1

Third Quartile=5

Interquartile Range=4

Answer:

Mean= add all of the numbers together and divide by total amount of

           numbers

           aka=3

Median= put all the numbers in order and find the number in the middle

              aka=2.5

Minimum=0

Maximum=8

This data can only be found using a Box and Whisker Plot....

I can't really explain a box and whisker plot so you have to look that up to understand that..  SRY!!!

------------------------------------

First Quartile=1

Third Quartile=5

Interquartile Range=4

Step-by-step explanation:

1. Look at the numbers listed below. Which numbers are rational? Select all that apply.

9.1874639...

424, 489

121

5/3​

Answers

I believe all of them are rational.


“The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers”

Select the correct answer. Which triangles in the diagram are congruent? A. triangle 1 and triangle 2 B. triangle 1, triangle 2, and triangle 3 C. triangle 1 and triangle 3 D. triangle 1, triangle 3, and triangle 4

Answers

Answer:

Triangle 1 and 3

Step-by-step explanation:

Based on a Congruent rule Side angle side :

In triangle 1 and triangle 3 are congruent by side angle side .

Therefore, the answer is triangle 1 and triangle 3.

Answer:

C.

Step-by-step explanation:

I got it right on Plato

please answer Urgent!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1 4/9 x 2 3/8

Pls answer these McQ to be the brainliest

Answers

Step-by-step explanation:

1. c

2. a

3. c

4. c

5. d

6. b

7. a

8. b

9. c

Can someone help?
Identify the coefficients and degree of each item

Answers

Answer:

first term: degree=4, coefficient= -2

second term: degree=3, coefficient=1

third term: degree=1, coefficient= -8

fourth term: degree= 1, no coefficient

fifth term: degree=2, coefficient=5

Step-by-step explanation:

Answer:

Hey there!

First term, degree 4, coefficient -2.

Second term, degree 3, coefficient 1

Third term, degree 1, coefficient -8

Fourth term, degree 1, coefficient none

Fifth term, degree 2, coefficient 5

Hope this helps :)

Write the ratio as a fraction in simplest form.
0.65 to 0.15

Answers

Answer:

13/3

Step-by-step explanation:

Write as a fraction first,

0.65/0.15

convert decimal to fractions,

13/20/3/20 = 13/3

Let X denote the block rate of the host hotel for a particular conference, and let Y denote the lowest room rate available in the host hotel outside of the conference block. For a conference that requires a two-night hotel stay, which one of the following expressions represents the least amount of discount on the conference registration fee that, according to the article, would be sufficient to deter conference attendees from employing the ROB strategy in choosing accommodations?
A. X+Y2X+Y2
B. X−Y2X−Y2
C. X−YX−Y
D. X+YX+Y
E. 2(X−Y)

Answers

Answer:

C. X-Y X-Y

Step-by-step explanation:

The question asks to identify the least amount of discount on the conference registration. If the registration discount is at least half of the possible saving of ROB then all attendees will stay within the block. X is the block rate and Y is the non block rate. The saving for staying two nights outside the block is 2 (X-Y)

Find the measure of each side indicated. Round to the nearest tenth.
А) 8.2 В) 8.8
C) 7.1 D) 93​

Answers

Answer:

[tex]\huge\boxed{x = 8.2}[/tex]

Step-by-step explanation:

Sin θ = opposite / hypotenuse

Where θ = 34 , opposite = 4.6 and hyp = x

Sin 34 = 4.6 / x

0.6 = 4.6 / x

x = 4.6 / 0.6

x = 8.2

Answer:

x = 8.2

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 34 = 4.6 /x

x  sin 34 = 46

x = 4.6 /sin 34

x =8.22614159

To the nearest tenth

x = 8.2

Please answer this question now

Answers

Answer:

30.9 cm²

Step-by-step explanation:

To find the surface area of this figure, we find the area of the base and the 3 identical sides.

The base is split into two identical right triangles. Let's find the area of one and multiply by two.

Half of 3: 1.5

[tex]1.5\cdot2.6=3.9\\3.9\div2=1.95[/tex]

There are two right triangles:

[tex]1.95\cdot2=3.9[/tex]

The area of one of the sides will be the same thing, except the height is 6.

[tex]1.5\cdot6=9\\9\div2=4.5\\4.5\cdot2=9[/tex]

There are 3 sides identical to this one:

[tex]9\cdot3=27[/tex].

Add 27 and 3.9:

[tex]27+3.9=30.9[/tex]

Hope this helped!

Answer:

30.9 square centimeters

Step-by-step explanation:

3 * 1/2(3)(6) + 1/2(3)(2.6) = 30.9

what is 0.7619047619 as a fraction?

Answers

Answer:

7619047619

10000000000

Step-by-step explanation:

Yeah big numbers:

To write 0.7619047619 as a fraction you have to write 0.7619047619 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.7619047619 = 0.7619047619/1 =

7.619047619/10 = 76.19047619/100 =

761.9047619/1000 = 7619.047619/10000 =

76190.47619/100000 = 761904.7619/1000000 =

7619047.619/10000000 = 76190476.19/100000000 = 761904761.9/1000000000 = 7619047619/10000000000

Hope this helps, have a good day :)

(brainliest would be appreciated?)

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. -7.5 and 5.4

Answers

Answer:

-2.1

Step-by-step explanation:

because -7.5 + 5.4 = -2.1

A movie theater sells only two types of tickets: adult tickets for $20 each and student tickets for $12 each. One weekend, the theater sold 2,000 tickets for a total of $35,072. How many more adult tickets than student tickets were sold that weekend?

A) 768 B) 770 C) 772 D) 774

Answers

Answer:

adults tickets=1384

kids:616 tickets

1384-616= 768 tickets

Step-by-step explanation:

let x be adult tickets and y kids

x+y=2000 ⇒x=2000-y

20x+12y=35072   solve by substitute for x=2000-y

20(2000-y)+12y=35072

40000-20y+12y=35072

-8y=35072-40000

-8y=-4928

y=-4928/-8

y=616

x=2000-616

x=1384 tickets

check:

20(1384)+12(616)=35072 ( correct)

Jack got 76% of the questions correct on his math test.What is 76% written as a fraction in simplest form?

Answers

Answer:

19/25

Step-by-step explanation:

5. Brian's cylindrical water tank has a diameter of 4m and a height of 2m.
i) Find the volume of the tank (to the nearest litre)

ii)Find the depth of the water in the tank when it has 2000L of water (to the nearest
centimeter)

Answers

Answer:

i)  25130 Liters

ii) 16 cm

Step-by-step explanation:

The volume of the tank is in cubic meters, not liters.  So the answer to question i) would be 25.13 cubic meters, which equals 25130 Liters.

ii) Now we find the depth.  2000 is 7.959% of 25130.  7.959% of the 2 meter height is 15.917 cm.  Rounded to the nearest cm, it would be 16 cm.

Company a samples 16 workers, and their average time with the company is 5.2 years with a standard deviation of 1.1. Company b samples 21 workers and their average time with the company is 4.6 years with a standard deviation 4.6 years

Answers

Company a samples 16 workers, and their average time with the company is 5.2 years with a standard deviation of 1.1. Company b samples 21 workers and their average time with the company is 4.6 years with a standard deviation 4.6 years

The populations are normally distributed.  Determine the:

Hypothesis in symbolic form?

Determine the value of the test statistic?

Find the critical value or value?

determine if you should reject null hypothesis or fail to reject?

write a conclusion addressing the original claim?

Answer:

Step-by-step explanation:

GIven that :

Company A

Sample size n₁ = 16 workers

Mean [tex]\mu[/tex]₁ = 5.2

Standard deviation [tex]\sigma[/tex]₁ = 1.1

Company B

Sample size n₂ = 21 workers

Mean [tex]\mu[/tex]₂ = 4.6

Standard deviation [tex]\mu[/tex]₂ = 4.6

The null hypothesis and the alternative hypothesis can be computed as follows:

[tex]H_o : \mu _1 = \mu_2[/tex]

[tex]H_1 : \mu _1 > \mu_2[/tex]

The value of the test statistics can be determined by using the formula:

[tex]t = \dfrac{\overline {x_1}- \overline {x_2}}{\sqrt{\sigma p^2( \dfrac{1}{n_1}+\dfrac{1}{n_2})}}[/tex]

where;

[tex]\sigma p^2= \dfrac{(n_1 -1) \sigma_1^2+ (n_2-1)\sigma_2^2}{n_1+n_2-2}[/tex]

[tex]\sigma p^2= \dfrac{(16 -1) (1.1)^2+ (21-1)4.6^2}{16+21-2}[/tex]

[tex]\sigma p^2= \dfrac{(15) (1.21)+ (20)21.16}{35}[/tex]

[tex]\sigma p^2= \dfrac{18.15+ 423.2}{35}[/tex]

[tex]\sigma p^2= \dfrac{441.35}{35}[/tex]

[tex]\sigma p^2= 12.61[/tex]

Recall:

[tex]t = \dfrac{\overline {x_1}- \overline {x_2}}{\sqrt{\sigma p^2( \dfrac{1}{n_1}+\dfrac{1}{n_2})}}[/tex]

[tex]t = \dfrac{5.2- 4.6}{\sqrt{12.61( \dfrac{1}{16}+\dfrac{1}{21})}}[/tex]

[tex]t = \dfrac{0.6}{\sqrt{12.61( \dfrac{37}{336})}}[/tex]

[tex]t = \dfrac{0.6}{\sqrt{12.61(0.110119)}}[/tex]

[tex]t = \dfrac{0.6}{\sqrt{1.38860059}}[/tex]

[tex]t = \dfrac{0.6}{1.178388981}[/tex]

t = 0.50917

degree of freedom df = ( n₁ + n₂ - 2 )

degree of freedom df = (16 + 21 - 2)

degree of freedom df = 35

Using Level of  significance ∝ = 0.05, From t-calculator , given that t = 0.50917 and degree of freedom df = 35

p - value =  0.3069

The critical value [tex]t_{\alpha ,d.f}[/tex] = [tex]t_{0.05 , 35}[/tex] = 1.6895

Decision Rule: Reject the null hypothesis if the test statistics is greater than the critical value.

Conclusion: We do not reject the null hypothesis because, the test statistics is lesser than the critical value, therefore we conclude that there is  no sufficient information that the claim that company a retains it workers longer than more than company b.

what is the solution to 2(3x+4)=20​

Answers

Answer:

x=36

Step-by-step explanation:

Answer: X=2

Step-by-step explanation: you want to distribute the 2 to the 3x and 4. That will give you 6x+8 now you want to subtract 8 from both sides. That will give you 6x=12 and you divide both sides by 6 and your final answer should be X=2. :)

Roberto is x years older than his only sister but 10 years ago he was twice her age. What are the current ages of the siblings?

Answers

Answer:

S = x + 10

R = 2x + 10

Step-by-step explanation:

If R is Roberto's age, and S is his sister's age, then:

R = S + x

R − 10 = 2 (S − 10)

Solve with substitution.

S + x − 10 = 2 (S − 10)

S + x − 10 = 2S − 20

S = x + 10

R = 2x + 10

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B What is the value of z for the equation fraction 1 over 2z = fraction 3 over 4 + fraction 1 over 4z? 3 1 1 3 Who is your favourite person in the Bible? 1. Find a video about the person you like most. 2. Write a short description of what that person was admired for. 3. Explain why you think that person is so great. The country of Cadmia is known around the world for the high-quality wine it produces. Consumers who do not know much about wine tend to rate the wines from Cadmia more favorably than the wines from Chile, even when independent analysis shows that Cadmian wines are actually inferior. Which of the following barries to international communication provides an explanation to this situation?A) Filter effects B) Cultural barriers C) Country of origin effects D) Pull effects E) Power distance PLEASE HELP!!!! 87 (max) POINTS. Underline the verb in the following sentences. Label eachunderlined verb as an ACT (action), LINK (linking verb), or HELP (helping verb).1. We will eat spaghetti and meatballs for dinner tonight.2. There were seven fish in the aquarium.3. The trumpet players performed well at the concert.4. Lashea and Leo had gone to the library.5. My dad built me a treehouse for my birthday6. The teacher guided us through solving the math problem.7. Vic and Lily are the quietest kids in the room.8. Sue can swim in the pool after lunch 9. That was a delicious cake 10. I had to fix the flat tire on my bike what is the role of pancreas in digestion Pavlov, the researcher who studied classical conditioning, rang a bell every time he fed his dogs. At first the dogs drool in response to the food, but eventually began to drool in response to the bell alone (with or without the food). In this example, the food is the _____________________ stimulus, and the bell is the ____________________ stimulus. A gardener has 1300 saplings. He wants to plant these in such a way that the number of columns and the number of rows remain same. Find the least number of more saplings he needs for this. Polar coordinates: which is not the same? What is the slope of the line that passes through the points (3,3) and (5,2)? Write your answer in simplest form. A student determines the value of the equilibrium constant to be 1.5297 x 107 for the following reaction: HBr(g) + 1/2 Cl2(g) --> HCl(g) +1/2 Br2(g) Based on this value of Keq, calculate the Gibbs free energy change for the reaction of 2.37 moles of HBr(g) at standard conditions at 298 K. Describe the process of action potential conduction and neurotransmission from one neuron to another, both electrically (including saltatory conduction) and chemically. Describe how a cell fires an action potential and be sure to address which structures are involved in neurotransmission. Discuss reuptake and enzymatic degradation (breakdown) in the context of the appropriate neurotransmitters. Assume that blood pressure readings are normally distributed with a mean of 117and a standard deviation of 6.4.If 64people are randomly selected, find the probability that their mean blood pressure will be less than 119.Round to four decimal places. As the leader of your newly formed 9-person team, one of your key concerns is that the team performs as a cohesive unit. Which of the following descriptions is most likely to indicate that your team is cohesive?A. There is very little conflict between team members. B. Team members prioritize the teams goals over their own goals. C. Whenever tackling a new team task, members typically divide into the same 3 subgroups. D. Team members have no problem working independently or alone. Simplify 16k/7k a) k+23 b) 9k c) 23k d) 23k^2 Bates Inc. is an enterprise comprising three parts. Its biotech section, which is working to develop crops that are pest and disease resistant, provides about half of its sales. Pharmaceuticals from its B.D. Feller subsidiary contribute a third of its revenues; and food products, dominated by the artificial sweetener NutroSweet, make up less than 15 percent of its total revenue. These three divisions represent Bates' ________. Why is 9.6 a rational number