A circle passes through point (-2, -1) and its center is at (2, -1). Which equation represents the circle?

Answers

Answer 1

The choices are missing, but we can solve the problem from the given information

Answer:

The equation which represents the circle is (x - 2)² + (y + 1)² = 16

Step-by-step explanation:

The form of the equation of a circle is (x - h)² + (y - k)² = r², where

(h , k) are the coordinates of its centerr is the radius of it

∵ The coordinates of the center of the circle are (2 , -1)

∴ h = 2 and k = -1

The radius of the circle is the segment whose join the center of the circle and any point on the edge of the circle

∵ The circle passes through point (-2 , -1)

∴ The radius of the circle is the distance from the center (2 , -1)

    and the point (-2 , -1)

The y-coordinates of the two points are equal that means the radius is a horizontal segment and its length is the difference between their x-coordinates

∵ r = 2 - (-2)

∴ r = 4

Now let us substitute h, k, and r in the form of the equation of the circle

∵ (x - 2)² + (y - -1)² = (4)²

∴ (x - 2)² + (y + 1)² = 16

The equation which represents the circle is  (x - 2)² + (y + 1)² = 16


Related Questions

What is the Area of a triangle with the base of 4 cm and the height of 8 cm?

Answers

Step-by-step explanation:

[tex]area \: of \: triangle \\= \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 4 \times 8 \\ = 2 \times 8 \\ = 16 \: {cm}^{2} \\ [/tex]

Staci is attending a music festival. The ticket to the festival costs $87.96 . Staci plans to purchase $30.00 t-shirts form the event for close friends. She is taking $200.00 to the festival . What is the maximum Numbers of t-shirts staci can purchase

Answers

Answer:

3 t-shirts

Step-by-step explanation:

Lets recap the information we will use from this problem:

The ticket to the festival costs $87.96

T-shirts are $30.00

She is taking $200.00 to the festival

Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.

$200.00 - $87.96 = $112.04

Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:

(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)

Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667

Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.

Final answer:

After paying for the festival ticket, Staci will have $112.04 left. As each t-shirt costs $30, she can buy a maximum of 3 t-shirts.

Explanation:

The question is about determining how many T-shirts Staci can purchase given a specific budget. First, Staci has to cover the cost of the music festival ticket, which is $87.96. After paying for the ticket, Staci would have $200 - $87.96 = $112.04 left.

Given that each T-shirt costs $30, the maximum number of T-shirts she can purchase can be calculated by dividing the remaining amount by the cost of a T-shirt. Hence, $112.04/$30 ≈ 3.73. Since she can't buy a fractional T-shirt, the maximum number of T-shirts she can buy is 3.

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Which relation is a function?
A) x = y2 - 3
B) x = y - 4x2
C) y2 = 4x - 6
D) x2 = y2 - 10

Answers

Answer:it is B

Step-by-step explanation:

how do you do this ​

Answers

You square it so for example the first one would be 1

Answer:

The best choice is to use a calculator (the button is [tex]\sqrt[/tex]), but if that is not an option here are a few tips.

If a perfect square ends with a 1, then the last digit of its square root has to be either 1 or 9.

If a perfect square ends with a 4, then the last digit of its square root has to be either 2 or 8.

If a perfect square ends with a 5, then the last  digit of its square root is definitely 5.

If a perfect square ends with a 6, then the last digit of its square root has to be either 4 or 6.

If a perfect square ends with a 9, then the last digit of its square root has to be either 3 or 7.

I took a look and all of them seem to be perfect squares so hopefully this helps!

In Mr. Williams' 2nd hour class, 40% of the students scored a 85% or higher on a quiz. If 20 students scored a 85% or higher on the quiz, how many students are in Mr. Williams' 2nd hour class?


Answers

Answer:

50 students

Step-by-step explanation:

40% of total students = 20

"of" means multiply

[tex]40\% \times \ total = 20\\\frac{40}{100} \times \ total = 20\\\\0.40 \times \ total = 20\\total = \frac{20}{0.4}\\\\total = 50[/tex]

1. In the diagram, AA'B'C' is an image of AABC. Which rule describes this translation?
O(x, y) → (x-5,y-3)
O(x, y) + (x + 5, y + 3)
O(x,y) → (x-3, y-5)
O(x, y) (x+3, y + 5)

Answers

Option B: [tex](x, y) \rightarrow(x+5, y+3)[/tex] is the rule for the translation

Explanation:

The coordinates of A,B,C are [tex](-3,2)[/tex] ,[tex](-3,-3)[/tex] , [tex](0,-2)[/tex]

The coordinates of A',B',C' are [tex](2,5)[/tex] , [tex](2,0)[/tex] , [tex](5,1)[/tex]

We need to determine the rule for the translation

The rule for the translation is given by

[tex]P(x, y) \rightarrow P^{\prime}(x+a, y+b)[/tex]

Let us determine the translation from A to A'

[tex]A(-3,2)\rightarrow A^{\prime}(-3+a, 2+b)\rightarrow A'(2,5)[/tex]

Thus, we have,

[tex]\begin{aligned}-3+a &=2 \\a &=5\end{aligned}[/tex]   and   [tex]\begin{array}{r}2+b=5 \\b=3\end{array}[/tex]

Thus, the rule is given by

[tex](x, y) \rightarrow(x+5, y+3)[/tex]

Therefore, Option B is the correct answer.

Answer:

its b

Step-by-step explanation:

hdhbdbehebebehrbrb

Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a snack.

Answers

In order to solve for the individual prices and snacks, we'll have to start by creating a couple of variables.

'm' will stand for number of movie tickets, and 's' will stand for number of snacks.

2m + 3s = 24
3m + 4s = 35

We can the substitution method to solve this question. Multiply the first equation by 3 and the second equation by -2:

6m + 9s = 72
-6m - 8s = -70
____________
s = 2

We simply added these two new equations together, and now we have the cost of one of the items!

Now that we know a snack costs $2, we can input this value into one of our equations:

2m + 3s = 24
2m + 3(2) = 24
2m + 6 = 24
2m = 18
m = 9

That wasn't too bad, was it?

A movie ticket costs $9 and a snack costs $2.

Answer:

Movie tickets are $9. Snacks are $2

Step-by-step explanation:

2m+3s=24

18+6=24

Edith babysits for x hours a week after school at a job that pays $4 an hour. She has accepted a
job that pays $8 an hour as a library assistant working y hours a week. She will work both jobs.
She is able to work no more than 15 hours a week, due to school commitments. Edith wants to
earn at least $80 a week, working a combination of both jobs.
Write a system of inequalities that can be used to represent the situation.
Graph these inequalities on the set of axes.
Determine and state one combination of hours that will allow Edith to earn at least $80 per week
while working no more than 15 hours.

Answers

Answer:

Part A) The system of inequalities are

[tex]x+y\leq 15[/tex]

[tex]4x+8y\geq 80[/tex]

Part B) The graph in the attached figure

Part C) see the explanation

Step-by-step explanation:

Part A) Write a system of inequalities that can be used to represent the situation.

Let

x ----> the number of hours worked as a babysitter

y ----> the number of hours worked as a library assistant

we know that

She is able to work no more than 15 hours a week

so

[tex]x+y\leq 15[/tex] -----> inequality A

Edith wants to  earn at least $80 a week

The word "at least" means " greater than or equal to"

so

[tex]4x+8y\geq 80[/tex] ----> inequality B

Part B) Graph these inequalities on the set of axes.

Using a graphing tool

The solution of the system is the triangular shaded area in the attached figure

Part C) Determine and state one combination of hours that will allow Edith to earn at least $80 per week  while working no more than 15 hours

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities. (The ordered pair lie in the shaded area of the solution set)

Looking at the graph

The ordered pair (4,9) lie in the shaded area

Verify if the ordered pair satisfy both inequalities

Inequality A

[tex]4+9\leq 15[/tex]

[tex]13\leq 15[/tex] ---> is true

so

The ordered pair satisfy the inequality A

Inequality B

[tex]4(4)+8(9)\geq 80[/tex]

[tex]88\geq 80[/tex] --> is true

so

The ordered pair satisfy the inequality B

therefore

The ordered pair is a solution of the system

(4,9)

That means

The number of hours worked as a babysitter in a week is 4 and  the number of hours worked as a library assistant  in a week is 9

Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week

Inequality

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let x represent the number of hours at the $4 job and y represent the number of hours at the $8 job, hence:

x + y ≤ 15   (1)

Also:

4x + 8y ≥ 80  (2)

Graphing the inequality, the solution is at:

(5, 10)

Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week

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A shipping company damaged 15 packages. Each package was valued at $175.50. Which expression represents this situation?


A. 15 x (-$175.50)

B. 15 + $175.50

C. 15 – $175.50

D. 15 ÷ (-$175.50)

Answers

Answer: A

Step-by-step explanation:

15 packages damaged. Cost is -175.50 this is a loss. So 15x(-175.50)

Expression represents the situation of shipping company damages is 15 x (-$175.50).

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, a shipping company damaged 15 packages and each package was valued at $175.50. Hence,

Expression that represents this situation = 15 * 175.50

this value will be in negative since its a loss.

Therefore, The expression 15 x (-$175.50) depicts the state of the transportation company's damages.

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Solve for x 3(2x-4)=6

Answers

6x-12=6
6x= 6+12
6x=18
x= 3

1. Divide both sides by 3

2x - 4 = 6/3

2. Simplify 6/3 to 2

2x - 4 = 2

3. Add 4 to both sides

2x = 2 + 4

4. Simplify 2 + 4 to 6

2x = 6

5. Divide both sides by 2

x = 6/2

6. Simplify 6/2 to 3

x = 3

Solve this equation with a variable term on both sides:

5.1y + 21.3 = –0.3y – 24.6

What is the solution?

y =

Answers

Answer:

-8.5

Step-by-step explanation:

5.1y + 21.3 = -0.3y - 24.6

get the equation to one side and have so it y is positive

5.4y + 45.9= 0

Then subtract 45.9 to the 0 so its like this

5.4y = -45.9

then devide -45.9/5.4

answer y= -8.5

Answer:

-8.5

Step-by-step explanation:

What is the closed linear form for this sequence given a1 = -15 and an + 1 = an - 8?

Answers

Answer:

[tex]a_n=-8n-7[/tex] is the closed linear form of the given sequence.

Step-by-step explanation:

Given that [tex]a_1=-15[/tex] and [tex]a_{n+1}=a_n-8[/tex]

To find the closed linear form for this given sequence :

So each of the successive term of the given sequence is decreases by 8

Therefore the common difference is -8

The given sequence is a arithmetic sequence.

The general form is [tex]a_n=a_1+(n-1)d[/tex]

Substitute [tex]a_1=-15[/tex] and d=-8 in [tex]a_n=a_1+(n-1)d[/tex] we get

[tex]a_n=-15+(n-1)(-8)[/tex]

[tex]=-15-8n+8[/tex]

[tex]a_n=-8n-7[/tex]

Therefore [tex]a_n=-8n-7[/tex] is the closed linear form of the given sequence.

Answer:

c) an=-7+8n

Step-by-step explanation:

i got it wrong and it told me the right answer so ill make sure you guys don't get it wrong :3

ursula sold 47 copies her new app for $26 each. How much money did Ursula make? Use the numbers below to fill in the area model. You may not use all of the numbers.

800 36 42 6 20
400 140 7 24 240

Answers

She made Atleast 1222 dollars for all of her apps sold

Final answer:

Ursula made $1,222 by selling 47 copies of her app for $26 each. The calculation is straightforward multiplication, and the numbers provided for the area model were not needed.

Explanation:

To calculate how much money Ursula made from selling 47 copies of her new app at $26 each, we should multiply the number of copies sold by the price per copy. So, the calculation will be as follows:

47 copies imes $26/copy = $1,222.

Therefore, Ursula made $1,222 from her app sales.

The numbers provided for the area model are part of another exercise and not relevant to this calculation. In this case, we did not need to use the area model to find the answer.

What do i do on this.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{6-4x}{y^{4}}=\frac{6-4*(-7)}{2^{4}}\\\\=\frac{6+28}{16}\\\\=\frac{34}{16}\\\\=\frac{17}{8}\\\\=2\frac{1}{8}[/tex]

The fraction 40/50 is equivalent to ___. *
1 point



.13



1.25



80%



20%

Answers

Answer:

80%

Step-by-step explanation:

80% because 40/50 is equal to 80%

Solve xin for the figure

Answers

X=16 hope that helps!


Which point is the centroid of triangle JKL?

A. Point K
B. Point M
C. Point R
D. Point J

Answers

Answer:

The answer is C. Point R.

Step-by-step explanation:

It is point R because that is where all the lines meet in the center.

Which describes how to calculate the range of this data set?

4, 5, 6, 8, 11, 12
Subtract 11 - 5
Subtract 12 - 4
Add 11 + 5
Add 12 + 4

Answers

Answer:

12 - 4

Step-by-step explanation:

To get the range, subtract the lowest number from the highest

The highest number is 12

The lowest number is 4

Range = 12 - 4

= 8

Answer:

12 - 4

Step-by-step explanation:

To get the range, subtract the lowest number from the highest

The highest number is 12

The lowest number is 4

Range = 12 - 4

= 8

Step-by-step explanation:

600 or 600 decreased by 20% and then increased by 20% of the result? Which amount is larger and by how much

Answers

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be [tex]600(1 - \frac{20}{100}) = 600 \times 0.8 = 480[/tex].

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be [tex]480(1 + \frac{20}{100}) = 480 \times 1.2 = 576[/tex].

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be .

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be .

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

Solve for y: 4(2y-1) = 3y + 9

Answers

Answer:

4 (2y-1)=3y+9

-2y. -2y

4 (1)=1y+9

-1. -1

4=1y+8

÷4. ÷4

0=1y+2

Answer:

y = 2.6

Step-by-step explanation:

in order to solve for y in the equation 4(2y-1) = 3y + 9

we fisrt open the bracket according to BODMAS rule

4(2y-1) = 3y + 9

8y - 4 = 3y + 9

the next strp is to collect the like terms

8y -4 -3y = 9

please note that when ever you are taking a positive number across the equall to sign it changes to negative (-) same thing applies to negative sign it changes to positve(+) respectively

8y-3y = 9 + 4

5y = 13

divide both ides by 5

5y/5 = 13/5

y = 2.6

The length of a rectangle is 5 feet more than twice the width. The perimeter is 28 feet. Find the length and width.

Answers

Answer:

Step-by-step explanation: 5 times 2 equals 10

Find the minimum value of
C = x + y
subject to the following constraints:
2x + y = 20
2x + 3y = 36
X=0
Y=0

Answers

Answer:

14

Step-by-step explanation:

2x + y = 20                                                                                     (1)

2x + 3y = 36                                                                                  (2)

(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20

          ⇔ 2y = 16

          ⇔ y = 8                                                                               (3)

From (3) and (1), we have:

    2x + y = 2x + 8 = 20

⇔ 2x = 12

⇔ x = 6

So: C = x + y = 6 + 8 = 14

Conclusion : C = 14

Brainliest, please?

Final answer:

The minimum value of the function C = x + y, under the given constraints, is 0. This is obtained when both x and y are equal to 0. If the constraints 2x + y = 20 and 2x + 3y = 36 are considered, the value obtained is 16, which is larger.

Explanation:

To solve this problem, we need to substitute the values of x and y into the function C = x + y and then find the minimum. As our initial constraints state x=0 and y=0, we can try these values first. C at (x = 0, y = 0) is 0 + 0 = 0.

The above scenario considers only the initial constraints x=0 and y=0.So, let's consider the constraints 2x + y = 20 and 2x + 3y = 36. We can solve these two equations simultaneously to get the values of x and y. When we solve them, it results x = 4 and y = 12. Substitute these values in the function C = x + y, we get C = 4 + 12 = 16.

Therefore, comparing the values obtained, the minimum value of the function C = x + y, subjected to the given constraints, is 0 when both x and y are 0.

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Is parallelogram HIJK a rhombus?

Answers

Answer:

yes it is

Step-by-step explanation:

the answer is yes , yes it is a rhombus

If 300% of 0.18 is equivalent to 20% of b, then b is equivalent to what number?

Answers

Final answer:

To calculate the value of b, we equate 300% of 0.18 to 20% of b, convert percentages to decimals, and solve for b, resulting in b being 2.7.

Explanation:

To find the value of b when 300% of 0.18 is equivalent to 20% of b, we can set up the equation as follows:

300% × 0.18 = 20% × b

Converting percentages to decimal form gives:

3 × 0.18 = 0.2 × b

Now, we will multiply the numbers:

0.54 = 0.2b

To find the value of b, we divide both sides by 0.2:

b = \( \frac{0.54}{0.2} \)

b = 2.7

Therefore, the value of b is 2.7.

HELP PLEASE!

Evaluate the expression when x= 4 and y = 9.


5xy + 9x
——
y

Answers

Answer:5×4×9/9 +(9(4))

=180/9 + (36)

= 20+36

=56

Thank You

Answer:

24

Step-by-step explanation:

The solution to the question above is solved thus:

[tex] \frac{5xy + 9x}{y} [/tex]

Given that x = 4 and y = 9, substitute the values in the question thus:

[tex] \frac{5(4)(9) + 9(4)}{9} [/tex]

[tex] = \frac{5 \times 4 \times 9 + 9 \times 4}{9} [/tex]

[tex] = \frac{180 + 36}{9} [/tex]

[tex] = \frac{216}{9} [/tex]

[tex] = 24[/tex]

which expression is equivalent to -3.4+(-y)- -5/8?

Answers

Answer:

- 2.775 - y

Step-by-step explanation:

 -3.4+(-y)- -5/8

Note: (1) + × - = -

2) - × - = +

3) - × + = -

Therefore

 -3.4+(-y)- -5/8

= -3.4 - y + 5/8

-3.4 - y + 0.625

Collect like terms

0.625 - 3.4 - y

= - 2.775 - y

I hope this was helpful, please mark as brainliest

Please help are these answers correct.

Answers

Answer:

answer sheet please give me brainly

Step-by-step explanation:

1.  the answer is   -1 • (7r + 6)  

2. that answer is right

3. that answer is right

4. the answer is       3h - 16  

5. the answer is   8 • (6 - 7s)

6. that answer is right

7. the answer is  -9 • (6r + 5)

8. the answer is  -14r - 43

9. the answer is   49z - 18

10. the answer is     14 + b  

Answer:

tttttt

Step-by-step explanation:

ttytddfgfdgfgfdg

$9000 is 60% of what number?

Answers

Answer:

15000

Step-by-step explanation:

We have, 60% × x = 900 or,  

60

100

× x = 9000

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 9000 ×  

100

60

x = 15000

If you are using a calculator, simply enter 9000×100÷60, which will give you the answer.

you have 480 roses and 24 of them dies, how many per cent died?

Answers

Answer:

5%

Step-by-step explanation:

5% of the roses died.

480 roses = Total number of roses

24 roses = number of roses that died

24 roses that died as a percent of 480 the total is:

24/480*100= 5%

To find the percent of roses that died, we take the number of roses that died and divide it by the total amount of roses there are and multiply it by 100 to find the percent.

Final answer:

To find out the percentage of roses that died, you can use a proportion where 24 out of 480 roses is equal to x out of 100, and solve for x, resulting in 5% of the roses that died.

Explanation:

To calculate the percentage of roses that died, you can set up an equivalent fraction that compares the number of dead roses to the total number of roses, with 100 as the denominator. In this case, 24 roses died out of 480. The fraction for this scenario is 24/480, and you want to find out how this fraction translates to a percentage.

To do this, you would set up a proportion like this:

24/480 = x/100

Cross-multiply to solve for x, which represents the percentage of dead roses:

24*100 = 480*x

2400 = 480*x

x = 2400/480

x = 5

So, 5% of the roses died.

1 googol is 1 × 10100 Danesh says, " When I multiply 1.496 × 1011 by 6.68 × 109 I get nearly 1 googol because 1.496 × 1011 × 6.68 × 109 = 9.99 × 1099 " (b) Is Danesh correct? Give a reason for your answer

Answers

Final answer:

Danesh is incorrect as the multiplication of 1.496 × 1011 and 6.68 × 109 results in a value with 1020, not 1099. Moreover, 1 googol equals 1 × 10100, which is much larger.

Explanation:

No, Danesh is incorrect. According to the laws of exponents, when you multiply two powers with the same base, you add the exponents. Therefore, the multiplication of 1.496 × 1011 and 6.68 × 109 will result in a value that is multiplied by 1020 and not 1099. Also, 1 googol is significantly larger than the result of this multiplication because it is equal to 1 × 10100. Thus, the statement made by Danesh is inaccurate.

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Other Questions
You are given a sample of several compounds to separate by paper chromatography. You draw a pencil line exactly 1.0 cm from the bottom of the paper, and place a spot of sample on it. You dry the sample, then develop it in a solvent. When the chromatogram is taken out of the solvent, the paper is wet up to 8.8 cm from the bottom of the sheet. The compound you are interested in shows up as a spot 7.5 cm from the bottom of the paper. Calculate the following: How far did the compound move? What is the equation of the line that passes through the point (-7,4)and has a slope of 0? A number of mosquito populations today are resistant to specific insecticides, even though those insecticides were highly effective when they were first introduced. Biologists believe that insecticide resistance evolved in mosquitoes because A. a few mosquitoes were probably resistant to the insecticide before it was ever used. These survived and passed that trait on to their offspring. B. mosquitoes needed to develop insecticide resistance to survive after the insecticide was used. C. the presence of the insecticide caused some mosquitoes to develop resistance; they survived and passed the trait to their offspring. D. current mosquito populations are phenotypically variable and exhibit differential fitness in different environments. E. individual mosquitoes built up an immunity to an insecticide after being exposed to it. "What is the life-threatening systemic condition that can develop when an infection, like an abscess with surrounding cellulitis, moves into the bloodstream?" Molly made 3,600 mL3{,}600 \text{ mL}3,600 mL3, comma, 600, start text, space, m, L, end text of tea for a party, and she served the tea divided equally in 12121212 cups. How many liters of tea did Molly put in each cup? Having already developed relationships with one another, Mikel's team members are now starting to focus on solving problems and completing their assigned tasks. Mikel's team has now entered the ______ stage of team development. Choose the independent clause 5 and 1/2 divided by 1/4 Who would be most likely to study a stone carving to determine if Sumerians used slaves? Let f(x)=15/(1+4e^(-0.2x) )What is the point of maximum growth rate for the logistic function f(x)? Show all work. Round your answer to the nearest hundredth Which of the following is a high-speed network dedicated to storage that connects different kinds of storage devices, such as tape libraries and disk arrays so they can be shared by multiple servers? Select one: a. SSN b. ASP c. LAN d. SAN e. Grid Which character in Mark Twain's Adventures of Huckleberry Finn is best described as "humorous,adventurous, and good-hearted"?my answer choices are a.) The kingb.) Huckc.) Mary Janed.) The duke Which effect is not a part of competition within the free market system? higher-quality products satisfied customers greater efficiency increased resources Use the writeln() method of the document object to display the user agent in a tag in the webpage. Hint: The userAgent property of the window.navigator object contains the user agent. What is the meaning of the word baying as it is used in the passage above? (a) Use the de Broglie relation = h/p to nd the wavelength of a raindrop with mass 1 mg and speed 1 cm/s. Is there a way to set up a raindrop-diraction experiment and detect the wave-like properties of rain? What makes the managerial task of executing strategy so challenging and demanding is the trial-and-error experimentation that is required to come up with a workable organizational structure. the demanding people-management skills required, the resistance to change that has to be overcome, and the perseverance necessary to get a variety of initiatives launched and kept moving along. the time and effort it takes to build core competencies. the time, training, and creative effort it takes to empower employees and teach them responsible decision-making. the supervisory requirements associated with getting company personnel to do things the right way. The activation energy for the reaction NO2(g)+CO(g)NO(g)+CO2(g) is Ea = 75 kJ/mol and the change in enthalpy for the reaction is H = -175 kJ/mol .What is the activation energy for the reverse reaction? In a certain very large city, the Department of Transportation (D.O.T.) has organized a complex system of bus transportation. In an advertising campaign, citizens are encouraged to use the new "GO-D.O.T!" system and head for the nearest bus stop to be transported to and from the central city. Suppose that at one of the bus stops the amount of time (in minutes) that a commuter must wait for a bus is a uniformly distributed random variable, T. The possible values of T run from 0 minutes to 20 minutes. (a) What is the probability that a randomly selected commuter will spend more than 7 minutes waiting for GO-D.O.T? (b) What is the standard deviation? (c) What is the probability that a randomly selected commuter will spend longer than 10 minutes but no more than 17 minutes waiting for the GO-D.O.T? (d) What is the average waiting time? In businesses, ________ include the president and other top executives, such as the chief executive officer, chief financial officer, and chief operations officer, who have overall responsibility for an organization.