If a book has 346 pages, and you read 3 chapters everyday when will you finish it? (From today reading book.)​

Answers

Answer 1

how large are the chapters


Related Questions

If 3∈ A and 3 B , then which of the following statements is not true?

3 is an element of B complement.
3 is an element of A ∩ B .
3 is an element of A ∪ B

Answers

Answer:

This statement is not true:

3 is an element of B'.

help me find the volume

help me find the volume

Answers

Answer:

224cm³

Step-by-step explanation:

Split the shape into 2, find both volumes, then add them up.

Volume = length × height × width

= 7cm × 7cm × 4cm

= 196cm³

Volume = length × height × width

= 2cm x 7cm x 2cm

= 28cm³

Total = 196cm³ + 28cm³

= 224cm³

The graph shows two lines, A and B.

A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 5, 0. Another straight line labeled B joins the ordered pair 0, 2 with the ordered pair 6, 6.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)

Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)

Answers

Answer:

  A. one solution; lines intersect at one point

  B. (x, y) = (3, 4)

Step-by-step explanation:

A linear equation will be represented on a graph by a straight line. A pair of equations will graph as a pair of lines. If the lines are not coincident or parallel, they will intersect at exactly one point. That point is the solution to the pair of equations.

__

A.

A graph of the given points quickly shows the lines are not parallel or coincident. Each point on line A satisfies the equation that describes the line. Each point on line B satisfies the equation that describes line B. The point of intersection is a point that satisfies both equations.

A pair of distinct non-parallel lines can have at most one point of intersection. Hence there can only be one solution to the pair of equations.

__

B.

The graph shows the solution to the equations for lines A and B is ...

  (x, y) = (3, 4)

The graph shows two lines, A and B.A graph is shown with x- and y-axes labeled from 0 to 6 at increments

Please help me!!! due today. Pls show work thank youuu!

Please help me!!! due today. Pls show work thank youuu!

Answers

Answer: D

Step-by-step explanation:

As the circumference of a circle is 360 degrees, this means arc BC is 64 degrees.

So, we can conclude that arc AB measures 180-64=116 degrees.

Thus, angle AOB is also 116 degrees.

Answer:

D) 116°

Step-by-step explanation:

If arcBAC measure 296°,

And arcAC measure 180°,

You can get arcAB measure 116°,

Because the arc equals the measure of the central angle,

<AOB=116°

Hope this helps <3

Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip

Answers

Answer:

$31.92

Step-by-step explanation:

28.50 x .12 = 3.42

3.42 + 28.50 = $31.92

The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.

Let’s set up a proportion. We can substitute the amounts we know into the proportion.  

Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.  

Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.

10 less than a number is more than 30 in a inequity

Answers

Answer:

we'll call "a number" x

10 less than that is: x-10

10 less than that is: x-1010 less than a number is more than 30: x-10 > 30

10 less than that is: x-1010 less than a number is more than 30: x-10 > 30we can solve for x as well: x > 40

Step-by-step explanation:

hope it will help you have a great day bye and Mark brainlist if the answer is correct

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#carry on learning

PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS PLS PLS HELP ME WITH THIS THX!!!!!

PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS PLS PLS HELP ME WITH THIS THX!!!!!

Answers

Answer:

20 pi  units^2

Step-by-step explanation:

The shaded sector is a fraction of the WHOLE circle area

  whole circle area = pi r^2 = pi (10^2) = 100pi

the fraction of the whole circle  is  72/360

72/360 * 100 pi = 20 pi     units^2

IF U ANSWER FAST ILL MARK U BRAINEST. Ok how would you express 43 3/4 % as a decimal

Answers

43³/₄% can be expressed as a decimal to give 43.75%, which can be pronounced as forty-three point seventy-five percent.

What is a decimal value?

A decimal value is a number that contains a whole and a fractional part.

Mathematically, decimal values are expressed using the decimal sign (.).

Data and Calculations:

43³/₄%, which is a fractional value that can be changed into a decimal value thus:

= 43% + ³/₄%

= 43% + 0.75%

= 43.75%

Thus, 43³/₄%, which is forty-three-three-fourth percent, can be expressed as a decimal to give 43.75%.

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solve 15 x 1/3 x z =5

Answers

Answer:

z=1

Step-by-step explanation:

\(15 \times \frac{1}{3} \times z=5 \\ \\ 5z=5 \\ \\ z=1\)

Answer is z is equal to 1

Which one of the following procedures will be able to calculate the average value of a population without statistical error?
A Random Sampling B Systematic Sampling C Census D Cluster Sampling

Answers

Random Sampling will be able to calculate the average value of a population without statistical error.

What do you mean by random sampling?

Each sample has an equal chance of being chosen when using the sampling technique known as random sampling.

When there is little chance of data manipulation, systematic sampling is employed.

A census is a study of every element, person, or aspect of the population.

When a population is divided into clusters, a sample is chosen at random from within each cluster. This process is known as cluster sampling.

Hence, we use Random sampling for not getting statistical errors.

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Find the distance between (1, 5) and (5, 2) using the Pythagorean Theorem. Type a number for your answer. ​

Answers

Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

Please help. I'm desperate.

Please help. I'm desperate.

Answers

Answer:

3.5x

3x+25=3.5x

Step-by-step explanation:

hope this helps

Answer:

hope this helped :)

Step-by-step explanation:

-Option 1

-3x

-3x+30=3.5x

19. Which of the values represent the value for x?

x=9
x=27
x=3
x=0
19. Which of the values represent the value for x?

x=9
x=27
x=3
x=0

19. Which of the values represent the value for x?

x=9
x=27
x=3
x=0

Answers

The amount of times a number has been multiplied by itself is shown by its exponent. In this case, x has a value of 1/2.

Exponents and powers can be used to represent extremely large or extremely small numbers in a more straightforward way. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is claimed that the entire expression 34 has power.
Power is essentially an expression that displays the same number or factor being multiplied repeatedly. The number of times the base is multiplied by itself determines the exponent's value.
First of all write 27 and 9 in the terms of 3.

We are given \(27^{x} = \frac{9}{3^{x} }\)

we know that,

27 can be written as : 27= \(3^{3}\).

9 can be written as: 9= \(3^{2}\).

so we have, \((3^{3}) ^{x} = \frac{3^{2} }{3^{x} } = (3^{3x} )= 3^{2-x}\)

now, compare the powers of both sides and solve for x:-

3x= 2-x

4x= 2

x= 2/4

x= 1/2.

Hence, the value of x is 1/2.

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Complete question:- If \(27^{x} = \frac{9}{3^{x} }\), find the value of x.

An observation deck in the Washington Monument is 500 feet off the ground. If the Lincoln Memorial is 4,220 feet from the Washington Monument, what is the angle of depression from the observation deck to the Lincoln Memorial? Round your answer to the nearest tenth of a degree

Answers

The angle of depression from the observation deck to the Lincoln Memorial is  7°

How to determine the value

It is important to note that the six types of trigonometric identities. they are;

sinetangentcotangentsecantcosecantcosine

From the information given, we have to determine the angle of depression

We have that;

Opposite = 500 feet

Adjacent side = 4, 220 feet

Now, let's use the tangent identity, we get;

tan θ = 500/4220

Divide the values

tan θ = 0. 1185

Find the tangent inverse

θ = 7°

Hence, the value is 7°

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Factor this equation please

Factor this equation please

Answers

Answer:

the answer is ç (3x+4)(x+7)

Find z0.05. -1.645 0.4801 0.5199 1.645

Answers

Answer:

z(0.05) = -1.645

Step-by-step explanation:

z(0.05) = -1.645  is the left tail of the normal probability curve with 5% of the area under the curve.

Answer:1.645

Step-by-step explanation:

Problem #3 (11 points): Random variables X and Y have the joint PMF: P
X,Y

(x,y)=





c∣x+y∣
0
otherwise.


x=−2,0,2
y=−1,0,1

and the function W=X+2Y, find:

Answers

The possible values of W can be obtained by substituting the given values of X and Y into the equation W=X+2Y. We have:

For W = -4: X=-2, Y=-1 => W = -2 + 2*(-1) = -4

For W = 0: X=-2, Y=0 or X=0, Y=-1 => W = -2 + 2*(0) = 0 or W = 0 + 2*(-1) = -2

For W = 4: X=0, Y=1 or X=2, Y=0 => W = 0 + 2*(1) = 2 or W = 2 + 2*(0) = 2

Now, we need to calculate the probabilities associated with each value of W. According to the joint PMF given, we have P(X,Y) = c*|x+y|.

Substituting the values of X and Y, we have:

P(W=-4) = c*|(-2)+(-1)| = c*|-3| = 3c

P(W=0) = c*|(-2)+(0)| + c*|(0)+(-1)| = c*|-2| + c*|-1| = 2c + c = 3c

P(W=2) = c*|(0)+(1)| + c*|(2)+(0)| = c*|1| + c*|2| = c + 2c = 3c

The sum of all probabilities must equal 1, so 3c + 3c + 3c = 1. Solving this equation, we find c = 1/9.

Therefore, the PMF of W=X+2Y is:

P(W=-4) = 1/9

P(W=0) = 1/3

P(W=2) = 1/3

This represents the probabilities of the random variable W taking on each possible value.

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A college radio station surveyed 696 incoming freshmen to see how many like jazz music, how many like rap music, and how many like rock music.

The Venn diagram below shows the results. (Each number gives the number of freshmen who fall into that Venn diagram category.)

(a) How many of the freshmen like jazz?
(b) How many of the freshmen like neither jazz nor rock?
(c) How many of the freshmen like both rap and rock, but don't like jazz?

Answers

a) 102 of the freshmen like jazz.

b) 306 of the freshmen like neither jazz nor rock.

c) 76 of the freshmen like both rap and rock, but don't like jazz.

The Venn diagram provided shows the result of the survey conducted by the college radio station to determine the number of incoming freshmen that like jazz music, rock music, and rap music.

A Venn diagram is a graphical representation of all possible logical relations among a set of finite collections of different sets or categories.

To answer the questions:

What is the number of freshmen that like jazz?

From the Venn diagram, the number of freshmen that like jazz music = 102 freshmen.

What is the number of freshmen that like neither jazz nor rock?

From the Venn diagram, the number of freshmen that like neither jazz nor rock music = 306 freshmen.

What is the number of freshmen that like both rap and rock, but don't like jazz?

From the Venn diagram, the number of freshmen that like both rap and rock music but don't like jazz music = 76 freshmen.

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Select the solutions to the inequality below.

Select the solutions to the inequality below.

Answers

Answer:

A: 10

B: 12

c: 18

G: 10.2

Step-by-step explanation:

10 + 10 = 20 \(\geq\) 20 True

10 + 12 = 22 \(\geq\) 20 True

10 + 18 = 28 \(\geq\) 20 True

10 + 10.2 = 20.2 \(\geq\) 20 True

The others are all false if i missed one fell free to tell me

What is the most precise term for quadrilateral ABCD with vertices A(4, 4), B(5, 8), C(8, 8),
and D(8, 5)?
square
rhombus
kite
Parallelogram

Answers

The most precise term for quadrilateral ABCD with vertices A(4, 4), B(5, 8), C(8, 8) is a kite.

Option C is the correct answer.

What is a kite?

A kite is a quadrilateral where the adjacent sides are equal which means there are two pairs of equal sides.

We have,

Quadrilateral ABCD:

A = (4, 4)

B = (5, 8)

C = (8, 8)

D = (8, 5)

Now,

A__________B

|                      |

|                      |
|                      |

D_________ C

We see the distance between the two points.

AB = √(8 - 4)² + (5 - 4)² = √(4² + 1) = √17

AD = √(5 - 4)² + (8 - 4)² = √(1² + 4²) = √17

AB = AD

BC = √(8 - 8)² + (8 - 5)² = √9 = 3

CD = √(5 - 8)² + (8 - 8)² = √9 = 3

BC = CD

AB and AC are adjacent sides.

CD and DB are adjacent sides.

So,

The quadrilateral ABCD is a kite.

Thus,

The quadrilateral ABCD is a kite.

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Find all entire functions f where f(0) = 7, f'(2) = 4, and |f"(2)| ≤ for all z Є C.

Answers

The entire functions that satisfy the given conditions are of the form f(z) = 4z + 3. The entire functions that satisfy the conditions f(0) = 7, f'(2) = 4, and |f"(2)| ≤  are f(z) = 4z + 3, where z is a complex number.

1. Recall that an entire function is a function that is analytic in the entire complex plane.

2. Let's consider the conditions given:

  - f(0) = 7: This condition implies that the constant term of the function is 7.

 

  - f'(2) = 4: This condition implies that the derivative of the function at z = 2 is 4.

 

  - |f"(2)| ≤ : This condition implies that the absolute value of the second derivative of the function at z = 2 is less than or equal to some positive constant .

 

3. To find the entire functions that satisfy these conditions, we can use the Taylor series expansion of an entire function.

4. Let's expand the function f(z) = a₀ + a₁z + a₂z² + ..., where a₀, a₁, a₂, ... are the coefficients of the Taylor series expansion.

5. Since f(0) = 7, we have a₀ = 7.

6. Differentiating the function, we get f'(z) = a₁ + 2a₂z + ..., and evaluating at z = 2, we have f'(2) = a₁ + 4a₂.

7. Using the condition f'(2) = 4, we can solve for a₁: a₁ + 4a₂ = 4. This implies a₁ = 4 - 4a₂.

8. Differentiating the function again, we get f''(z) = 2a₂ + ..., and evaluating at z = 2, we have f''(2) = 2a₂.

9. Using the condition |f"(2)| ≤ , we have |2a₂| ≤ , which implies that |a₂| ≤ .

10. Combining the results, we have a₀ = 7, a₁ = 4 - 4a₂, and |a₂| ≤ .

11. From these equations, we can determine that a₂ can take any value within the range .

12. Therefore, the entire functions that satisfy the given conditions are of the form f(z) = 4z + 3, where the constant term is 3 and the coefficient of z is 4.

In conclusion, the entire functions that satisfy the conditions f(0) = 7, f'(2) = 4, and |f"(2)| ≤  are f(z) = 4z + 3, where z is a complex number.

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What lines would you use to solve
–3x – 2 = 2x + 8?

Graph the line
for the left side of the equation.
Graph the line
for the right side of the equation.
Linear-Linear Equation

Answers

The lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is attached

How to determine the lines to use to solve the equation

From the question, we have the following parameters that can be used in our computation:

–3x – 2 = 2x + 8

The above equation can be splitted by introducing the variable y

using the above as a guide, we have the following:

y = –3x – 2

y = 2x + 8

This means that the lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is added as an attachment

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What lines would you use to solve3x 2 = 2x + 8?Graph the line for the left side of the equation. Graph

If a city population of 10,000 experiences 100 births, 40 deaths, 10 immigrants, and 30 emigrants in the course of a year, what is its net annual percentage growth rate?0.4%0.8%1.0%4.0%8.0%

Answers

The net annual percentage growth rate of the city population is 0.4%

To calculate the net annual percentage growth rate of a population, we can use the following formula:

Net Annual Percentage Growth Rate = ((Births + Immigrants) - (Deaths + Emigrants)) / Initial Population x 100%

Plugging in the given values, we get:

Net Annual Percentage Growth Rate =\(((100 + 10) - (40 + 30)) / 10,000 x 100%\)

Net Annual Percentage Growth Rate = \((40 / 10,000) x 100%\)

Net Annual Percentage Growth Rate =\(0.4%\)

The net annual percentage growth rate of the city population is 0.4%

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Arnav knows that (3, 4, 5) and (5, 12, 13) are Pythagorean triples. He wants to show that (15, 20, 25) is also a Pythagorean triple. Besides using the converse of the Pythagorean theorem, is there another way Arnav can show that (15, 20, 25) is a Pythagorean triple?

Arnav knows that (3, 4, 5) and (5, 12, 13) are Pythagorean triples. He wants to show that (15, 20, 25)

Answers

9514 1404 393

Answer:

  multiply the (3, 4, 5) triple by 5 to get (15, 20, 25)

Step-by-step explanation:

Any multiple of a Pythagorean triple is a Pythagorean triple.

  5(3, 4, 5) = (5·3, 5·4, 5·5) = (15, 20, 25) — a Pythagorean triple

The function f(x) = -x³-7x2²-7x+15 has zeros located at-5, -3, 1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.

Answers

Answer:

Step-by-step explanation:

\(f(x)=-x^3-7x^2-7x+15\\Prove:\ x_1=-5\ \ \ \ x_2=-3\ \ \ \ x_3=1\ at\ f(x)=0\\\\-x^3-7x^2-7x+15=0\)

Multiply both parts of the equation by -1:

\(x^3+7x^2+7x-15=0\\x^3+5x^2+2x^2+7x-15=0\\x^2*(x+5)+(2x^2+7x-15)=0\\x^2*(x+5)+(2x^2+10x-3x-15)=0\\x^2*(x+5)+(2x*(x+5)-3*(x+5))=0\\x^2*(x+5)+(x+5)*(2x-3)=0\\(x+5)*(x^2+2x-3)=0\\x+5=0\\x=-5\\x^2+2x-3=0\\x^2+3x-x-3=0\\x*(x+3)-(x+3)=0\\(x+3)*(x-1)=0\\x+3=0\\x=-3\\x-1=0\\x=1\)

Directions in pic. Please graph and fill in the blanks

Directions in pic. Please graph and fill in the blanks

Answers

From the present question, we can plot the following graph

From the presented equation:

\(f(x)=3^{x-2}-7\)

We can see that there is no restriction to the value of x you can use in this equation. It can be evaluated to any given number because the exponential function has as domain all the real numbers. From this, the presented equation also has as domain all the real numbers.

For the range, it is better to solve the other question before finding it.

Let's calculate the limits:

For x going to the positive infinity, the value of x - 2 will go to the positive infinity also, and the exponent of x-2 goes to the same value. From this, we conclude:

\(x\to\infty\Rightarrow f(x)\to\infty\)

Using the same idea, if x goes to the negative infinity, x-2 goes also to negative infinity and the exponential of negative infinity goes to zero, it is:

\(x\to-\infty\Rightarrow f(x)=-7\)

From these two answers, we also conclude that the Range of the equation is (-7, +∞)

the y-intercept is the value where x = 0. For this, we just need to substitute the value in the equation, as follows:

\(\begin{gathered} f(x=0)=3^{0-2}-7 \\ f(0)=3^{-2}-7=\frac{1}{9}-7=-\frac{62}{9} \\ y=-\frac{62}{9} \end{gathered}\)

The asymptote is calculated from the limits to + infinity and - infinity, and from those calculated above we can conclude the only asymptote is:

\(y=-7\)

From this, we conclude:

Domains = all the real numbersRange = (-7, +∞)Behavior: x -> +∞ ⇒ f(x) -> +∞ x -> -∞ ⇒ f(x) -> -7y-intercept = - 62 / 9Asymptote: y = -7
Directions in pic. Please graph and fill in the blanks

help? ill give brainliest

help? ill give brainliest

Answers

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hope this helps also I had this on a test and it was right

-(4-7)
How do you do this?

I got -4+7
(Is that right)​

Answers

a double negative will result in a positive so
-(4-7)
= -4+7
=3
The mathematical expression you provided -4 + 7 is correct.
The result of the operation is 3.
You are adding 7 to -4, so you would start with -4 and count up 7 steps which gives you 3 as a result.
In mathematical notation, the plus sign (+) indicates addition and the minus sign (-) indicate subtraction. In this case you have -4+7 so it's -4 plus 7.

An expression is given: x(-1.8-6y) Use the distributive property to expand the expression.

Answers

Answer: x(-1.8-6y)  =  -1.8*x -6*y*x

Step-by-step explanation:

The distributive property says that if we have:

A*(B + C) where A, B and C can be any numbers, we can expand the equation as:

A*(B + C) = A*B + A*C.

So, in this case, we have the equation:

x*(-1.8 - 6y)

so we can expand this as:

x*(-1.8 - 6y) = x*(-1.8) + x*(-6*y) = -1.8*x -6*y*x

The budget for a project on voting trends includes $3200 for hiring undergraduate students, graduate students, and faculty members to conduct interviews on the day before an election. Each undergraduate student will conduct 30 interviews for $100. Each graduate student will conduct 32 interviews for $150. Each faculty member will conduct 33 interviews for $200. No more than 20 interviewers can be hired.(a) How many of each type of interviewer should be hired in order to maximize the number of interviews?(b) What is the maximum number of interviews?

Answers

Each type of interviewer should be hired in order to maximize the number of interviews are 0 undergraduate students, 16 graduate students, and 4 faculty members and the maximum number of interviews is 644 according to the statistics given.

If n = the number of interviews, then let x = the number of undergraduate students hired, y = the number of graduate students employed, z = the number of faculty members hired.

The purposeful action is:

maximization of n = 30x + 32y + 33z

The limitations are: x + y + z 20; 100x + 150y + 200z 3200; and 0;

The answer is 644 because x = 0, y = 16, z = 4.

To increase the number of interviews, it should be recommended that 0 undergraduate students, 16 graduate students, and 4 faculty members be hired. There can be a maximum of 644 interviews by statistics given.

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Number 99. A bullet is fired from the ground making an angle of 20 degwith the horizontal with a speed of 1500 m/s.How far (horizontally) will it fall? (1 point)A. O 80062.025 mB. O 147578.788 mC. O25126.105 mD. O 112231.316 mE. O 190655.097 m10. A bullet is fired from a 40 m tall building with a speed of1400 m/s making an angle of 80 deg with the horizontal.Calculate the vertical component of its velocity by the time it hitsA. O-421.75 m/sB 0-2552 599 m/s What is an equivalent fraction to 7 12? POINTS & BRAINLISTwhat is fifty subtract twenty-five????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????///?? what is the response of the control group to crowding? individuals are equally distributed along the spectrum from solitary to gregarious. their behavior does no Generally speaking, System Administrators work under which of the following IS groups: A. Technology Office B. Data Administration C. Development D. None of the above As a user, one of your responsibilities toward the IS department is: A. Expecting hand-holding for basic operations B. None of the above C. Not expecting to receive repetitive training and support for the same issue D. Keeping your password on a sticky note where everyone can see it Which graph represents the inequality y13x? What is the Big O runtime of the following code?def random_loops (n): total = 0 for i in range(n//2): counter = 0 while counter < n : total += 1 counter += 1 for j in range(n): for k in range(j,n): magic 1 while magic < n: total += 1 magic *= 2 for i in range(100): total += 1 return total which is causing the current mass extinction? The sun is becoming hotter and heating the tectonic plates.Gases released by fossil fuels that trapped energy from the sun.There is no current mass extinction, but there may be one in the future.The compression of plant and plankton remains, creating fossil fuels. Your company has extra cash which it would like to use to invest into something new and profitable. There are two mutually exclusive projects under consideration. Project #1 will require an initial investment of $410, and the present value of all of its future estimated profits is $460. Project #2 will require an initial investment of $560, and the present value of all of its future estimated profits is $615. Based on this information, answer the following questions. (a) For Project #1, the Profitability Index equals Round to TWO decimal places, for example, 1.23 (b) For Project #2, the Profitability Index equals Round to TWO decimal places, for example, 1.23 (c) Based on the Profitability Indexes, your company should (type accept or reject) Project #1 and (type accept or reject) Project #2. true or false the fission of a nucleus is accompanied by the release of very little energy 3/2 of a number is less than the number.True or falseJustify your answer. after mg ribbon is reacted completely with air, what is the reason to add some water and heat? In which situation is group decision making likely a better choice over individual decision making? programmed decision under conditions of high risk or uncertainty programmed decision under conditions of low risk or certainty nonprogrammed decision under conditions of high risk or uncertainty nonprogrammed decision under conditions of low risk or certainty help please ill give the person who answeres honstly a biranly and 25 points ofc ofc A projectile of mass 0.213 kg is shot from a cannon. The end of the cannons barrel is at height 6.5 m, as shown in the figure. The initial velocity vi of the projectile has a horizontal component of 7.5 m/s.The projectile rises to a maximum height of y above the end of the cannons barrel and strikes the ground a horizontal distance x past the end of the cannons barrelDetermine the time it takes for the pro- jectile to reach its maximum height. The acceleration of gravity is 9.8 m/s2 .Answer in units of s. part 2 How long does it take the projectile to hit the ground?Answer in units of s.part 3 What is the horizontal range x of the shot? Answer in units of m.this is physics Complete the sentence with the appropriate word from the spelling list.Mother lets me run the ____ cleaner.subject: Language & Arts For the following problems, consider that in 2005, 87 million American women drove about 860 billion miles and about 13,000 were involved in fatal accidents.How many miles did the average woman drive? water is draining from a 300ml bottle at a rate of 2ml per second. How many seconds will it take for half of the water to drain? The ways groups of people both maintain structure and order through their symbolic interactions and allow individual actors the freedom to accomplish their goals. - Of the four main functions managers fulfill (planning,organizing, leading, and controlling), which do you think is mostlikely to be enhanced by an understanding of organizationalbehavior? Why?