A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y--3x+1
oys
O y=-5x - 23
O y = 5x + 27

Answers

Answer 1

Answer:

0

Step-by-step explanation:

what happened that 0 ok live bistro 2.52 and 10 1 which is the quality of the line or 3 x + 100 s y if x = 25


Related Questions

Please help me with this I need the answers please

Answers

i think this is the answer

PLS HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP

Answers

Answer:

let the first and second table box as 12345 and abcde

1,a

2,c

3,e

4,b

5,d

Step-by-step explanation:

you can use

y=mx+b form m is slope , b is y intercept

m with variable x and b without any variable I.e it is real value

CAN sb HELP MI >_>
what it 0.00000000000000035467 in the scientific notation

Answers

Answer:

3.5467 × 10^-16

The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the breakrooms. She considers two methods of obtaining a sample of 600 employees from the 4,700 employees at the company.

Part A: To make the process easier, the CEO considers surveying the first 600 employees who enter a company annual conference center. Identify the type of sampling method proposed and discuss why this sampling method might be biased. (5 points)

Part B: The second method the CEO is contemplating involves using a random number generator app to choose a simple random sample of 600 employees from a list of 4,700 employee names. How could she implement this method? (5 points)

Answers

The type of sampling method proposed is a convenience sampling because it's a non-probability sampling method.

What is convenience sampling?

Convenience sampling can be defined as a type of non-probability sampling method which involves surveying and selecting representatives that are easily accessible.

The CEO could implement the second sampling method as follows:

Assign a serial number to each employees of the total 4,700 employee names.Use a random number generator software to obtain 600 random numbers.The 600 random numbers in Step 2 above forms the desired sample of 600 employees out of 4,700 employees at the company.

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Mark all the relative minimum points in the graph.
See attached!

Answers

The relative minimum point in the graph is (-6, 2)

How to determine the relative minimum?

To do this, we simply locate a point that at a lower level, when compared to its neighboring points

Using the above highlight, there is only one relative minimum point in the graph

And the point is located at (-6,2)

Hence, the relative minimum point in the graph is (-6, 2)

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When the absolute value of slope gets bigger the graph of the line gets ???

Answers

The slope of a line is defined as rise by run i.e.
how much y value changes with respect to the
change in × value. So the slope gives the
steepness of the line.
Slope O indicates there is no change in y when
the x value is changed and so the line with
slope 0 is a horizontal line. A line with slope 1
shows with 1 unit change in ×, y changes by 1
unit. Likewise slope equal 2 indicates with 1 unit
change in ×, y changes by 2 units.
We can see as the absolute value of slope is
increasing, the change in y with respect to x is
increasing i.e. the line is becoming more tilted or
steep.
Hence, we can conclude that:
The graph of a line gets Steeper as the absolute
value of the slope gets bigger.
C is the correct answer.

What is the value of the expression 7 + (16 − 7) ÷ 3 + 8?

12
15
17
18

Answers

The solution to the expression is 18

Your answer would be d, 18

what two numbers add to the number 30

Answers

Answer:

15+15

Step-by-step explanation:

Two 15's added together can equal 30

Evaluate the expression.
n =
If P(n, 5) = 2520, find n.

Answers

The value of n in the permutation equation P(n, 5) = 2520 is 7

How to evaluate the permutation expression?

The expression is given as:

P(n, 5) = 2520

The above expression is a permutation expression.

The permutation expression is different from the combination expression, and the permutation expression is calculated using the following permutation formula

P(n,r) = n!/(n - r)!

Substitute 5 for r in the above equation

P(n,5) = n!/(n - 5)!

Substitute the given values in the above equation

n!/(n - 5)! = 2520

Expand the above equation

n(n-1)(n - 2)(n - 3)(n - 4)(n - 5)!/(n - 5)! = 2520

Evaluate the quotient in the above equation

n(n-1)(n - 2)(n - 3)(n - 4) = 2520

Express 2520 as 7 * 6 * 5 * 4 * 3

n(n-1)(n - 2)(n - 3)(n - 4) = 7 * 6 * 5 * 4 * 3

By comparing the equation, we have

n = 7

Hence, the value of n in the permutation equation P(n, 5) = 2520 is 7

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find the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years

Answers

The interest obtained after 4 years from a loan of $7500 is = $750

Calculation of generated interest

The principal amount of the loan = $7500

The rate at which the interest is paid is = 2.5%

The time that it will take to pay the interest = 4 years

Using the formula for Simple interest;

SI= P×T×R/100

SI = 7500×4 × 2.5/100

SI= 75000/100

SI=$750

Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750

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vRichard has a red card (R) and a black card (B). He picks a card randomly from the pair and then rolls a six-sided die. The sample space of the event is listed. B-1 R-1 B-2 R-2 B-3 R-3 B-4 B-5 R-5 B-6 R-6 The missing term in the list is . If there were three cards instead of two, the sample size would be .

Answers

The Sample space for three cards is

[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)[/tex][tex]\left(B,5\right),\left(R,5\right),\left(G,5\right),\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}[/tex]

There are two cards red(R) and black(B) and a six-sided die.

The event is one card is picked randomly and then rolls the die.

So, the Sample space is as follows.

[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(B,2\right),\left(R,2\right),\left(B,3\right),\left(R,3\right),\left(B,4\right),\left(R,4\right),\left(B,5\right),\left(R,5\right),\left(B,6\right),\left(R,6\right) \right \}[/tex]

Find Sample space if there are three cards.

Consider there were three cards red(R), black(B) and green(G) a six-sided die.

The event is one card is picked randomly and then rolls the die.

So, the sample space will be as follows,

[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)[/tex][tex]\left(B,5\right),\left(R,5\right),\left(G,5\right)\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}[/tex].

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Solve for x. Find all solutions from 0 to 2 π . ​Show all work as you solve each problem - you may need more space to show your work for each. Remember there may be more than 1 solution for x.
Questions are attached below

Answers

Answer:

x=189

Step-by-step explanation:

please mark me as brainiest

Simplify the following ​

Answers

Answer:

29/12

Step-by-step explanation:

hello :

2/3  +5/6  +11/12 = (2×4)/(3×4)  + (5×2)/(6×2)  + 11/12

2/3  +5/6  +11/12 = 8/12  +10/12  +11/12 = (8+10+11)/12

2/3  +5/6  +11/12 = 29/12

Answer:

[tex]2\frac{5}{12}[/tex]

Step-by-step explanation:

To add fractions, we have to make sure that they have the same denominators. To do that, we have to find their lowest common multiple (LCM).

The LCM of 3, 6, and 12 is 12.

Then we have to multiply the numerator and denominator of each fraction by a number so that the denominator becomes the LCM (12).

[tex]\frac{2}{3} + \frac{5}{6} + \frac{11}{12}[/tex]

⇒ [tex]\frac{2 \times 4}{3 \times 4} + \frac{5 \times 2}{6 \times 2} + \frac{11 \times 1}{12 \times 1}[/tex]

⇒  [tex]\frac{8}{12} + \frac{10}{12} + \frac{11}{12 }[/tex]

⇒ [tex]\frac{8+10+11}{12}[/tex]

⇒ [tex]\frac{29}{12}[/tex]

⇒ [tex]\bf 2\frac{5}{12}[/tex]

I need help on this question please help me

Answers

The expression that shows the best use of the associative and commutative properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is C. [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Associative and Commutative properties

From the question, we are to determine the expression that shows the best use of the associative and commutative properties

The given expression is

[tex]\frac{3}{4}-5+9 -\frac{2}{4}+2[/tex]

To easier simplify the expression, we can group the fractions together and group the whole numbers together

That is,

[tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Hence, the expression that shows the best use of the associative and commutative properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is C. [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

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Find the ends of the major axis and foci

Answers

The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).

What is the axis and foci about?

The term 'foci' is known to be the point at which there is the coming together of light or any other kinds of electromagnetic radiation, particles, etc.

It is also seen as the point from which they seems to go apart.

[tex]\frac{x^{2} }{144} + \frac{y^{2} }{169} = 1[/tex]

[tex]\frac{x^{2} }{12^{2} } + \frac{y^{2} }{13^{2} }[/tex]

Hence, major axis is = (0, ± 13)

e = [tex]\sqrt{1 -\frac{12^{2} }{13^{2} } }[/tex]

= 5/13

Foci is: (0± 13 x [tex]\frac{5}{13}[/tex])

Foci is: (0, ±5)

Therefore, The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).

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Which of the following numbers is the greatest?

2.5
-2.5
0
-7​

Answers

Answer:

2.5

Step-by-step explanation:

2.5 is the only positive number amongst the options, so it must be the greatest.

A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 65 85 Type B 38 12 Compare P(Male or Type B) with P(Male | Type B). (5 points) P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough informatio

Answers

The correct statement regarding the probabilities is given as follows:

P(Male or Type B) > P(Male | Type B)

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 200 people, of which 103 are males and 12 are Type B females, hence:

P(Male or Type B) = 115/200 = 0.575

Of the 103 males, 38 are Type B, hence:

P(Male|Type B) = 38/103 = 0.3683.

Hence:

P(Male or Type B) > P(Male | Type B).

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Which of these is smaller? 1/3 or 35%

Answers

♨ANSWER♥

1/3 = 1/3 × 100%

= 33%

☆ 33 % < 35 %

Therefore

* 1/3 is the smaller one.

...hope this helps...

_♡_mashi_♡_

The comparison of  1/3 and 35% in decimals shows that 1/3 is smaller than 35%.  

Given that:

The fraction is  1/3 and the number in percentage is 35%.

The conversion of  a fraction to a percentage can be obtained by  dividing the numerator by the denominator and multiply by 100.

The decimal form of the fraction 1/3 is 33.33...%

1/3 ≈ 0.3333...

0.3333... * 100 ≈ 33.33...%

The value 35% is already in percentage.

Since, both the values are in percentage form, it can be easily compared.

On comparing, the resultant would be

33.33...% < 35%

Since 35% is greater than 33.33...%

It can be concluded  that 35% is larger than 1/3.

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10 points please help with calculus HW
Find equations for the tangent line and the normal line to the graph of the equation at the given point. (The normal line at a point is perpendicular to the tangent line at the point.)
x^2 + y^2 = 10, (1, 3)
(a)Tangent Line = ___?____
(b)Normal Line=____?____
(c) Select a graph from the graph pictures attached

Answers

a. The equation of the tangent at (1,3) is y = -x/3 + 10/3

b. The equation of the normal at (1,3) is y = 3x

c. Find the graph in the attachment

a. How to find the equation of the tangent at (1, 3)?

Since x² + y² = 10, we differentiate the equation with respect to x to find dy/dx which the the equation of the tangent.

So, x² + y² = 10

d(x² + y²)/dx = d10/dx

dx²/dx + dy²/dx = 0

2x + 2ydy/dx = 0

2ydy/dx = -2x

dy/dx = -2x/2y

dy/dx = -x/y

At (1,3), dy/dx = -1/3

Using the equation of a straight line in slope-point form, we have

m = (y - y₁)/(x - x₁) where

m = gradient of the tangent = dy/dx at (1,3) = -1/3 and (x₁, y₁) = (1,3)

So, m = (y - y₁)/(x - x₁)

-1/3 = (y - 3)/(x - 1)

-(x - 1) = 3(y - 3)

-x + 1 = 3y - 9

3y = -x + 1 + 9

3y = -x + 10

3y + x = 10

y = -x/3 + 10/3

So, the equation of the tangent at (1,3) is y = -x/3 + 10/3

b. The equation of the normal at the point (1, 3)

Since the tangent and normal line are perpendicular at the point, for two perpendicular line,

mm' = -1 where

m = gradient of tangent = -1/3 and m' = gradient of normal

So, m' = -1/m

= -1/(-1/3)

= 3

Using the equation of a straight line in slope-point form, we have

m' = (y - y₁)/(x - x₁) where

m' = gradient of normal at (1, 3)  and (x₁, y₁) = (1,3)

So, m = (y - y₁)/(x - x₁)

3 = (y - 3)/(x - 1)

3(x - 1) = (y - 3)

3x - 3 = y - 3

y = 3x - 3 + 3

y = 3x + 0

y = 3x

So, the equation of the normal at (1,3) is y = 3x

c. Find the graph in the attachment

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Alec starts up a monthly subscription potato box. It costs 18.20 dollars per month,
and comes with 16 potatoes in each box. Each subscriber may order any amount of
”luxury potatoes”, that are separate from the 16 that normally come in the box, for
an additional 5 dollars each.
(a) Write a formula for the monthly revenue, R in dollars, earned by Alec as a function
of s, the number of monthly subscribers, and n, the total number of luxury potatoes that his clients order. R(s, n) =

(b) Using your formula from above, find R(10, 3)

Answers

A. The formula (mathematical function) for the monthly revenue, R, earned by Alec, R(s, n) = $18.20s + $5n.

B.  Using the formula above, the value of R(10, 3) is $197.

What is a function?

A function is an expression, rule, or law defining the relationship between an independent variable and a dependent variable.

Functions are used to define physical relationships between variables.

Data and Calculations:

Cost monthly subscription = $28.20 per box

Number of normal potatoes in each box = 16

Cost of additional luxury potatoes = $5 per potato

If the monthly revenue function, R, is given as R(s, n) where:

s = number of monthly subscribers

n = total number of luxury potatoes ordered

The monthly revenue, R, earned by Alec, R(s, n) = $18.20s + $5n.

The value of R(10, 3) is $197 ($18.20 x 10 + $5 x 3)

Thus, using the formula above, the value of R(10, 3) is $197.

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Solve the right triangle ABC, with C = 90°.
A = 38.5°, b = 43.5 cm. Find B, a, and c. Round to the nearest tenth.

Answers

Answers are as follows
B = 51.5
a = 34.6
c = 55.6

On the number line above, points A, B, C, and D are integers, and AB: BC: CD = 3:2:1. What is the length of AC?

Answers

Using proportions, it is found that the length of AC is of 15 units.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The ratios in this problem are given as follows:

[tex]\frac{AB}{BC} = \frac{3}{2}[/tex].[tex]\frac{BC}{CD} = \frac{2}{1}[/tex].[tex]\frac{AB}{CD} = \frac{3}{1}[/tex].

The entire length is of 18 units, AB is half of that, hence:

AB = 0.5 x 18 = 9 units.

BC is two thirds of the length from 6 to 15, hence:

BC = 2/3 x (15 - 6) = 6

Thus, the length of AC is:

AC = 9 + 6 = 15 units.

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will give brainliest please help

Answers

Answer:

A. 7x + 3x = 10x, B. 6s - 3s + 4s = 7s, C. 4T - 6T = -2T, D. 4xy + 3xy + x = 7xy + x, E. (6x) ^2 = 36x^2, F. 6x/2x = 3.

Step-by-step explanation:

A. explanation: Add 7x and 3x. B. explanation: Simplify the expression. C. explanation: Subtract 6T from 4T. D. explanation: Add 4xy and 3xy. E. explanation: Simplify the explanation. F. explanation: Simplify the expression.

Answer: give her brainliest

Step-by-step explanation:

hey mackenzie :)

50 POINTS!!!!!!!! PLEASE ANSWER THIS QUICKLY WITH AN EXPLANATION!!!!!!!!! ANSWER ALL OF THEM

Answers

Answer:

  (b) 27°

  (c) 34°

  ( ) 27°

Step-by-step explanation:

Angle relations involving lines, parallel lines, and triangles come into play here.

angles of a linear pair total 180°angles of a triangle total 180°vertical angles are congruentcorresponding angles at a transversal crossing parallel lines are congruent

(b)

The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.

  (180° -6x) +90° +(180° -4x) = 180°

  270° = 10x . . . . . . . . . add 10x and simplify

  27° = x

(c)

The vertical angles at S are congruent. This tells us ...

  3x +∠PSQ = 4x

  ∠PSQ = x

The sum of angles in triangle PSQ is 180°, so we have ...

  x +x +(180° -68°) = 180°

  2x = 68° . . . . . . . . add 60°-180°

  x = 34° . . . . . . . . . divide by 2

( )

Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.

  2x +2x +72° = 180°

  4x = 108° . . . . . . subtract 72°

  x = 27° . . . . . . . . divide by 4

Is -46x-23 = 46x+23 an infinite solution

Answers

Answer:

There is only 1 solution, and it is ½

Step-by-step explanation:

-46x - 23 = 46x + 23

46x + 46x = 23 + 23

92x = 46

x = 46 / 92

x = ½

Lewis High School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent.
Here are the positions and the people interested in each.

Position People interested
Faculty members Dr. Wright, Mr. Torres, Mrs. Lee, Ms. Reed
Male students Jose, Ali, Tony
Female students Donna, Keiko, Rita
Parent Dr. Wilson, Dr. Patterson, Ms. Rivera, Mrs. Ross, Ms. Bell

Answers

The number of possible committees from the given list is; 120 committees

How to Solve Probability Combinations?

From the given list, we can say that;

Number of faculty members = 4

Number of male students = 2

Number of female students = 3

Number of parents = 5

Thus, the number of ways to fill the 4 member committee is calculated from probability combination as;

Number of committees = 4 * 2 * 3 * 5 = 120 possible committees

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A coin has two sides head and tails a die has six sides if you roll the die what is the probability that you flip heads and roll a number greater than 5

Answers

Using it's concept, the probability that you flip heads and roll a number greater than 5 is: [tex]\frac{1}{12}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

The probability of a head is 1/2.The probability of a number greater than 5 is 1/6.

Hence the probability of both events is:

[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex].

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You own 17 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?

Answers

The probability that all five end up in alphabetical order is; 1/120.

What is the probability that the rack ends up in alphabetical order?

To evaluate the given probability; first, the number of possible arrangements is;

17P5 = 742,560 possible arrangements.

However, the chance of an alphabetical order arrangement in each case is; 1 out of 5! possible arrangements.

Hence, we have that the number of possible alphabetical arrangement is; (1/120) × 742,560 = 6188.

Hence, the required probability is; 6188/742,560 = 1/120

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The measure of the second angle of a triangle is three times the measure of the first. The measure of the third angle in the triangle is 12 degrees less than twice the measure of the first angle. Find the measures of each angle in the triangle.

Answers

Answer:

First  angle:

x =32

Second angle:

3x

3(32) = 96

Third angle:

2x - 12

2(32) -12 =52

Step-by-step explanation:

x + 3x + 2x - 12 = 180  The sum of the interior angles of a triangle is 180

6x -12 = 180  Combine the x terms

6x = 192  add 12 to both sides

x = 32

Check: 52 + 96 + 32 = 180

Simplify √-50.
O 5√2
O 5i-√2
O-5√2
-5i√2

Answers

Answer: [tex]5i\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{-50}\\\\=\sqrt{-1} \sqrt{50}\\\\=5i\sqrt{2}[/tex]

Other Questions
HW11_2 (textbook 21.14) A plane is being tracked by radar, and data are taken every second in polar coordinates and r t(s) 204 206 208 210 200 202 0 (rad) 0.75 0.72 0.70 0.68 0.67 0.66 r(m) 51205370 5560 5800 6030 6240 At 206 seconds, use the centered finite-difference (second order correct) to find the vector expressions for velocity and . The velocity and acceleration given in polar coordinates are v = r + roee and a = (* r02)r + (r + 2r) Write a MATLAB script to implement the above and use fprintf to display the magnitudes of velocity and acceleration at 206 seconds. For each of the following rejection regions, sketch the sampling distribution of t, and indicate the location of the rejection region on the sketch:a. T > 1. 440 where df = 6b. T < - 1. 782 where df = 12c. T < -2. 060 or t > 2. 060 where df = 25d. For each of parts a through c, what is the probability that a Type I error will be made? . You have been hired as the chief marketing officer for DoorDash. To help DoorDash execute its strategy in a truly proficient fashion and approach operating excellence, you wouldMultiple Choicebe creative in establishing policies and procedures that will instill high standards of operating excellence.gather information firsthand and demand progress from your midlevel managers.take the lead in the implementation/execution process and personally drive the pace of progress.be charismatic, be a decisive decision-maker, and make inspiring speeches at company events.be a very personable, effective communicator, skilled in the empowerment of company personnel. Light is sent through a single slit of width w = 0.42 mm. On a screen, which is L = 1.9 m from the slit, the width of the central maximum is D = 4.8 mm. = = Randomized Variables = W = 0.42 mm L = 1.9 m D = 4.8 mm 20% Part (a) The angle of the first dark fringe is dark. the only thing you could do-determined to savethe only life you could save.What do the details in these lines suggest?O The journey is about settling for less.The journey is about helping someone.O The journey is about doing one thing at a time.The journey is about one's sense of self. molecular cloning uses _____ to recognize and cut specific dna sequences out of the cloned plasmid. Please help me with this statistics question. Photo attached chloroquine is used as an antimalarial drug. rank the three nitrogen atoms in decreasing (strongest to weakest) order of basicity. the best way to develop an ethical corporate culture is to provide character education to existing employees or hire employees with good character and sensitize them to ethical issues. true false leukemia may have varied clinical presentations. which characteristic would be unusual to find Today, when Cher calls Sonny and asks him to pick her up, Sonny waits for fifteen minutes before leaving to pick her up. Sonnys behavior might be an example of:a. classical conditioningb. operant conditioningc. generalizationd. discrimination Coal provides the energy for most of the electricity that people use today.Who benefits from the use of coal?a everyone, either directly or indirectlyb only the people who purchase electricityc only the people who use the electricity from coald only people who work in companies that mine or sell coal when a program attempts to handle a number outside of the defined range of values, it encounters what kind of error? The prisoners' dilemma is an example of A) product differentiation. B) decision making in a monopoly. monopolistic competition. D) game theory. E) collusion. A sediment core from an ocean-going ship called the JOIDES Resolution found evidence of what type of event?. you will get 10 points for each question and help discuss the enthalpy and entropy contribution to godiss for acetic acid and monochloroacetic acids. the transition from infancy to toddlerhood begins at what age? When silver and gold were used as money, both their quantity and quality were open to question. The solution was a. coinage. b. seashells. c. seigniorage. d. notes fiat money which of the following is not a current asset? group of answer choices cash building prepaid expense accounts receivable none of these