Can anyone write the equation of the graph?

Can Anyone Write The Equation Of The Graph?
Can Anyone Write The Equation Of The Graph?

Answers

Answer 1

The equation of the graph represented by the figure is f(x) = |x - 3| + 5

How to find the equation of the graph line?

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

The graph is an absolute value graph

As a general rule, an absolute value is expressed as

y = |x - h| + k

In this case, the vertex is

Vertex = (h, k)

As a general rule, the vertex of a function is the minimum point on the graph

On the given graph, the minimum point is (3, 5)

This means that

(h, k) = (3, 5)

Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k

So, we have the following representation

y = |x - 3| + 5

Rewrite the equation as a function

f(x) = |x - 3| + 5

Hence, the equation is f(x) = |x - 3| + 5

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Related Questions

The sides of a triangle are in the form of consecutive even integers. If its perimeter is 48cm, find the
measure of each side.

Answers

Answer:

The sides of the triangle would be 14, 16, and 18.

Step-by-step explanation:

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May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Determine the algebraic rule to describe the relationship between x and y. Give your answer in the form y = mx + c Total: [10] Please draw a line before you start with the next question.

Answers

Eplaination of algebraic rules with equation of line is describe below

What is algebraic rules ?

Algebraic rules are maths expression of two variable that can be written in the form of equation.

Now we will understand by the equation of line given in the question,

we have Y = mx + c

where y is the intercept on y-axis, m is the slope of line, x is intercept on x-axis, and c is the point where line cuts y-axis.

This equation represent the line which follows algebraic rules.

Graph of equation:

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Please help me please help me

Answers

Answer:

the answer Is 6 .........

Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins. How much did
Mrs. Smith pay for 30 muffins?
Explain your answer
a) $3
b) $10
c) $15
d) $30

Answers

Hello a muffin should coast $0.5 so 30 muffin will coast $15 dollar the answer is C

I need help like asap !!!

only numbers and decimal points ​

Answers

Use Pythagoras Theorem: c^2 = a^2 + b^2 => c^2 = 30^2 + 16^2 = 900 + 256 = 1156 => c = square root of 1156 = 34 inches

Select all equations that are equivalent to
(6x + 2)
3
-=2(3x +14)
(Select all that apply.)
(6x + 2)
3
(6x + 2) = 2 (3x+14)
2x+3=2-(3x +14)
=-3x-12
6x + 2 = -9x-36
(6x + 2)
3
= -3x+16

Answers

Using Simplification , all the equations that are equivalent to (6x+2)/3 = 2 - (3x+14)  are (6x+2)/3 = -3x - 12 and  6x + 2 = -9x - 36 , the correct option is  (a) and (d) .

In the question ,

it is given that

the equation is (6x+2)/3 = 2 - (3x+14)

solving the brackets on the right side of the equation ,

(6x+2)/3 = 2 - 3x - 14

(6x+2)/3 = -3x - 12                     ....option(a)

On Cross Multiplying , we get

6x + 2 = 3(-3x - 12)

6x + 2 = -9x - 36                      ....option(d)

Therefore , all the equations that are equivalent to (6x+2)/3 = 2 - (3x+14)  are (6x+2)/3 = -3x - 12 and  6x + 2 = -9x - 36  .

The given question is incomplete , the complete question is

Using Simplification , Select all equations that are equivalent to

(6x+2)/3 = 2 - (3x+14)

(a) (6x+2)/3 = -3x-12

(b) (6x+2) = 2 - (3x+14)

(c) 2x + 2/3 = 2 - (3x+14)

(d) 6x+2 = -9x-36

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it is given that I = PRT/100
express P in terms of I, R and T

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Let's express P (principle) in terms of I, R and T

[tex]\qquad \sf  \dashrightarrow \: I= \dfrac{PRT}{100} [/tex]

[tex]\qquad \sf  \dashrightarrow \: PRT = I \sdot 100[/tex]

[tex]\qquad \sf  \dashrightarrow \: P = \dfrac{I \sdot 100}{RT} [/tex]

and that's it ~

P can be expressed in terms of I, R, T as P=100×I / (R×T)

Given equation

I=PRT/100

100 × I = PRT

100 × I / RT = P

P = 100 × I / RT

This formula is used to calculate Simple Interest, where P= Principal, I= Intrest to be Calculated. R= Annual rate of interest, T= Time (in years). Here one will shift the 100 from the denominator and multiply with the I next we will move the rate and time from the numerator to the denominator. The equation we now get will be in terms of I, R, and T and one can find the Principal using this equation.

I hope this answer helps.

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Meg measured the length of some pieces of wire. What is the difference in length between the longest and shortest piece of wire?

Answers

Answer:

6 inches

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

As per the diagramShortest piece = 3 inLongest piece = 9 in

The difference9 in - 3 in = 6 in

Answer:

Difference = 6 inches

Step-by-step explanation:

Given information,

→ Meg measured the length of some pieces of the wire.

Now we have to,

→ find the difference between the longest and shortest piece of wire.

Then the difference will be,

→ Longest wire - Shortest wire

→ 9 - 3

→ 6 inches

Hence, the difference is 6 inches.

Heeelllllllllllp Simplify the expression completely.
√144 +18 √12-5√64

Answers

root(12 * 12) + 18*root(4 * 3) - 5*root(8 * 8)
12 + 36*root(3) - 40
-28 + 36*root(3)

Answer: A

sara has 20 sweets
12 liquorice sweets , 5 mint sweets and 3 humbugs.
sara takes two random sweets
work out probability that the two sweets will not be the same

Answers

If sara takes two random sweets. The probability that the two sweets will not be the same is :111/190.

How to find the probability?

Probability of getting two of each sweet:

P( Liquorice) = (12/20)×(11/19)

P (Liquorice) =132/380

P (mints) =(5/20)×(4/19)

P (mints)  =20/380

P (Humbugs) =(3/20)×(2/19)

P (Humbugs) =6/380

Probability that two sweets will be the same

P(same) =132/380+20/380+6/380

P(same) =158/380

Hence,

Probability that two sweets will not be the same

P(not same) = 1- (158/380)

P(not same) =380 -158 /380

P(not same) = 222 /380

P(not same) =111 /190

Therefore the probability is 111/190.

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Solve |2x - 3| < 7.

Answers

Answer:

5 or (-2,5)

Step-by-step explanation:

|2x-3|<7

2x-3<7

2x=10

x=5

Answer:

x < 5

Step-by-step explanation:

Add 3 to both sides of the equation. This is to balance the equation.

2x - 3 + 3 < 7 + 3

Now, add 7 and 3.

7 + 3 = 10

Add -3 and positive 3.

-3 + 3 = 0

= 2x + 0

= 2x

Now, the problem becomes,

2x < 10

Divide by 2

2x/2 < 10/2

Divide by 2: 10/2

10/2 = 5

Divide by 2: 2x

2x/2 = 2/2

= x (We assume x = 1)

Divide both numbers

= 5/1

= 5

Therefore,

x < 5

Hope this helps!

Vertex of f(x) = |2x + 3

Answers

The vertex of the equation given as .f(x) = |2x + 3| is (-3, 0)

What is the vertex?

The vertex of a function or an equation is the minimum or the maximum point on the function

How to determine the vertex of the graph?

From the question, we have the equation of the function to be

f(x) = |2x + 3|

The above function is an absolute value function

An absolute value function is represented as

f(x) = a|x - h| + k

Where the vertex is represented as

Vertex = (h, k)

By definition, a graph that has a vertex would have an obvious maximum or minimum point on it

By comparing the equations f(x) = a|x - h| + k and f(x) = |2x + 3| to determine the vertex, we have

(h, k) = (-3, 0)

This means that

Vertex = (-3, 0)

Hence, the vertex of the equation is (-3, 0)

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Jada is working on solving a quadratic equation, as shown here.


p^2−5p=0

p(p−5)=0

p−5=0

p=5

She thinks that her solution is correct because substituting 5 for p in the original expression p^2−5p gives 5^2−5(5), which is 25−25 or 0.


Explain the mistake that Jada made.

Answers

Writing only p = 5 is a mistake since p = 0 is also a solution of the  quadratic equation

How to find the mistake she made in solving the quadratic equation?

Given the quadratic equation: p² −5p = 0

p² −5p = 0

p(p−5) = 0

p = 0 or p−5=0    

p = 0 or p = 5

Jada made mistake in the  3rd step instead of him to break the equation into two parts and then equate them to zero i.e he neglected the part where p = 0 and only make use of p-5 = 0

Since the equation has two solutions, p = 0 and p = -5. Therefore, writing only p = 5 is a mistake because when p = 0 is substituted into p² −5p = 0, it also gives 0  

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Against the Wind a small plane flew 858 miles in 2 hours and 10 minutes the return trip only took 1 hour and 50 minutes what was the speed of the wind?what was the speed of the plane in still air?​

Answers

The speed of the plane - 432 miles/ hr.The speed of the wind - 36 miles/ hr.Define the relation of speed and time?A moving body's speed is the distance it travels in one unit of time. If the distance is in kilometers and the duration is in hours, the speed is in kilometers per hour. If a distance is measured in meters and the time is measured in seconds, the speed is measured in meters per second.

Let the speed of the small plane be 'R'.

Let the speed of the wind be 'S'.

Plane's time against wind = 2 hours and 10 minutes  = 13/6 hours.

Plane's time with wind = 1 hour and 50 minutes = 11/6 hours

Use formula;

Distance =  speed x time

Against the wind:

858 = (13/6) (R-S)  = (13/6) R - (13/6)S

With wind:

858 = (11/6)(R + S) = (11/6)R + (11/6)S  

Multiplies each by 6.

5148 = 13R - 13S

5148 = 11R + 11S

Use elimination method

56628 = 143R - 143S  (multiplies by 11)

66924 = 143R + 143S  (multiplies by 13)

Further solving;

123552 = 276R

R = 432 miles/ hr. (speed of small plane )

And,  S = 36 miles/ hr. (speed of wind)

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Step 1 5x + 9 = 2x - 3
Step 2 3x + 9 = -3
Step 3 3x = -12
Step 4 x = -4
What operation did he perform to get from step 1 to step 2

Answers

Answer:

He subtracted a term of [tex]2x[/tex] from both sides of the equation.

1/2 : 2/3 = X:1
[1 mark]

Answers

The value of X for the given equation is X = 3/4.

What are the ratio and proportion?

A percentage is the equality of two ratios, while a ratio is the divisional comparison of two numbers. As well as being written as x: y or x/y, ratios are sometimes expressed as x is to y.

A proportional equation declares that two ratios are similar on a comparative basis. A ratio means that x is to y as z is to w and is represented as x: y: z: w. Since w and y are not equal in this situation, x/y = z/w.

The given equation is

1/2 : 2/3 = X:1

We can rewrite it as

(1/2)/ (2/3) = X

X = 1/2 × 3/2

X= 3/4

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I NEED HELP ME PLEASE!!!​

Answers

Answer:

I hope this is right

TG = 34 TG=34  inches

From the figure

            PQR is a triangle

            PS, QT are medians of the triangle  

            G is the centroid

Step 1: Calculate the segment of the median (TG = ? )

              We know that

              Each median is divided into segments with a 2:1 ratio by the triangle centroid.

                    \therefore \frac{TG}{GQ} = \frac{2}{1} ∴

GQ/TG = 1/2

                          TG = 2 GQ TG=2GQ

                          TG = 2 * 17 TG=2∗17

                          TG = 34 TG=34

               Hence, segment of the median  TG = 34  inches

a classroom of children has 18 boys and 19 girls in which five students are chosen at random to do presentations. what is the probability that more boys than girls are chosen? a) 0.1334 b) 0.4731 c) 0.0197 d) 0.4535 e) 0.3398 f) none of the above.

Answers

The probability that more boys than girls are chosen is 0.4731. So option b is correct.

Combination:

The act of combining or the state of being combined. A number of things combined: a combination of ideas. something formed by combining: A chord is a combination of notes. an alliance of persons or parties: a combination in restraint of trade.

Here it is given that there are 18 boys and 19 girls and 5 students are chosen.

We have to find the probability that more boys than girls are chosen.

Probability = [tex]C^{5} _{18}[/tex] + [tex]C^{4}_{18} C^{1} _{19}[/tex] + [tex]C^{3} _{18} C^{2} _{19}[/tex] / [tex]C^{5}x_{37}[/tex]

                  = 8568 + 58140 + 139536 / 435897

                  ≈ 0.4731

Therefore the probability is 0.4731.

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Write 22 as a percentage of 58
Give your answer correct to the nearest whole number.

Answers

Answer:

38%

Step-by-step explanation:

22 ÷ 58 = 0.3793...

Ans × 100 = 37.93%

As a whole number = 38%

in a certain year, 13,839 professional train pushers are diagnosed with carpal tunnel. the top cities for such diagnoses are tokyo with 2,551, osaka with 3,049, and kyoto with 1,436. if a professional train pusher recently diagnosed with carpal tunnel is randomly selected, what is the probability that they are from somewhere other than tokyo, kyoto or osaka?

Answers

Probability that the professional other than Tokyo, Kyoto or Osaka is 6803/13839.

Total number of professional train pushers who are diagnosed with carpal tunnel is 13839

Number such professional from Tokyo = 2551

Number such professional from Osaka = 3049

Number such professional from Kyoto = 1436

So, number such professional from other than these three cities = 13839 - (2551+3049+1436) = 6803

Hence the probability that the professional other than Tokyo, Kyoto or Osaka is = 6803/13839

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Please help
At the beginning of spring, London planted a small sunflower in her backyard. The sunflower's height in inches,
h
h, after
w
w weeks, is given by the equation
h
=
4
w
+
15
h=4w+15. What could the number 4 represent in the equation

The change in the sunflower's height for every one additional week.

The sunflower's height after one week.

The sunflower's final height

The sunflower's height after 0 weeks.

Answers

The change in the sunflower’s height for every one additional week. The sunflower grows 4 inches every week, and the 15 represents its initial height

in a hypothesis testing that you are conducting, you determine the confidence level needed is 99%. for you to reject the null hypothesis, the p-value needs to be:

Answers

The answer to the given question is <0.01.

What is confidence level?

The confidence level is the percentage of times we expect to get near to the same approximate if we run our experiment again or resample the population in the same way. The confidence level is the probability that the null hypothesis is true.

What is p-value?

P-value is the probability of getting the results you did, given that the null hypothesis is true.

When we are conducting a hypothesis testing and we determine the confidence level needed is 99%; then in order to reject the null hypothesis, the p-value needs to be below 0.01 (<0.01).

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help again for a friend

Answers

The required equation of slope is y = x/2 + 6

Given : y = 3x + 6

this is of the form y = mx + c

thus on comparing we get

the slope or m = 3

And the y intercept = 0, 6

It is also given that we have to find the equation of the slope which passes through the point ( -2, 5 )

thus the two points are:

( -2, 5 )  and ( 0,6 )

Thus the slope or m = y2 - y1/ x2 - x1

=> m = 6 - 5 / - ( -2 )

m = 1/ 2

Thus the equation of the slope is

y - y₁ = m ( x - x₁ )

₁Substituting the value of m from above we get

y - 5 = 1/2 ( x + 2 )

this implies 2y - 10 = x + 2

x - 2y = - 12

or we can also write this as

y = x/2 + 6

Refer to the graph given below for further understanding.

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What number is 763 less than 850.08?

Answers

Answer:

87.08.

850.08 - 763 = 87.08.

An engineering technician makes $25 an hour for the first 40 hours she works
during a week and $32 an hour for each hour over 40 hours. Which piecewise
equation models her total weekly pay y in dollars as it relates to the number
of hours x that she has worked during the week?
O A. y=
O C. y =
(25x
132(x-40)+1000
OB. y=-
OD. y=
[25x
132x+1000
(25x
(32(x-40)
(25x
132x
0≤x≤ 40
x> 40
0≤x≤ 40
x> 40
0≤x≤ 40
x> 40
0≤x≤ 40
X> 40
SUBMIT

Answers

The Piecewise Function be

                      25x                                 when x < 40

y =

                   1000+32(x-40)                   when x > 40

Given, an engineering technician makes $25 an hour for the first 40 hours she works.

and $32 an hour for each hour over 40 hours.

Let the number of hours be x and her total weekly pay in dollars be, y

then the piecewise function,

                      25x                                 when x < 40

y =

                   1000+32(x-40)                   when x > 40

Hence, the piecewise function be

                      25x                                 when x < 40

y =

                   1000+32(x-40)                   when x > 40

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Need help. I also need to show my work

Answers

The factors of the expression (x³ - 6x² + 3x + 10) are (x + 1), (x - 2), and (x - 5).

We are given a mathematical expression. The expression is cubic in nature. We need to find the factors of the algebraic expression. Let the expression be represented by the variable "E". The expression consists of three terms. Hence, the expression is trinomial. The expression is given below.

E = x³ - 6x² + 3x + 10

One of the factors in the expression is already given. The given factor is (x + 1).

Now we will perform the long division method on the expression to break it into the given factor and a quadratic expression.

E = (x + 1)(x² - 7x + 10)

Now we will factorise the quadratic expression.

E = (x + 1)[x² - 2x - 5x + 10]

E = (x + 1)[x(x - 2) - 5(x - 2)]

E = (x + 1)(x - 2)(x - 5)

We cannot simplify and factorise the expression any further.

Hence, the factors of the expression are (x + 1), (x - 2), and (x - 5).

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Sophia earned $36 at her job when she worked for 4 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Answers

The ratio when Sophia earned $36 at her job when she worked for 4 hours is 1:9.

What is ratio?

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

From the information, Sophia earned $36 at her job when she worked for 4 hours.

The equivalent ratio to illustrate the information will be:

= 4 / 36

= 1/9

= 1:9

Note that the coordinates point weren't given in the question.

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Please help geomatry 9th grade

Answers

The statements that are a result of corresponding parts of congruent triangles being congruent are:

EFGH has four congruent sidesDiagonal FH is perpendicular to side FEAngle FEH is congruent to angle FGH

What is an isosceles triangle?

An isosceles triangle is a type of triangle with two equal sides and angles. The other types of triangle includes;

Equilateral triangleRight angle triangleScalene triangle

From the figure;

Sides EFGH are congruent, that is, equal

Since Sides EFGH are congruent, it can not be a rectangle, it is a square.

Triangle FGH and FEH are both isosceles triangle.

Diagonal FH bisects triangle FGH and FEH

So therefore, the isosceles triangle FGH and FEH are congruent and bisected by diagonal FH.

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Compare the following fraction 8/14 and 4/7

Answers

Answer:

These fractions are equivalent, with 4/7 being the simplest form of both.

Step-by-step explanation:

8/14 can be simplified to 4/7 also by dividing both sides by two :)

HELP MEEE PLEASEEEEEE

Answers

Answer:

Length YZ is about 16.2 cm (to the first decimal place)

Step-by-step explanation:

In order to find the lenth YZ we need to know the the Pythagorean theorem which is a²+b²=c² (or leg² + leg² = hypothnose)

For this problem let a = line segment XY, let b = YZ and let your hypothnose (c) to be ZX

Substitute your known values in the equation so we know a = 5 cm and c = 17 cm so we can apply it in our equation 5²+ b² = 17² Square your known values in this case 5² and 17² which is 25 and 289 respectively. The equation is now 25+b²=289 Do the inverse operation to Isolate you unknown variable which is b. We do this by subtracting 25 on both sides after doing so the equation is now b²= 264 Square root both sides of the equation the point is to get rid of the squared part of b². After doing so your answer is b = 16.2480768093Round to the first decimal place the two remains the same so the final answer is 16.2 cm
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the aortic semilunar valve question 7 options: is the location of the pacemaker cells of a normal heart. prevents blood flow from the right ventricle to the right atrium. prevents blood flow from the left ventricle to the left atrium. prevents blood flow from the pulmonary artery to the right ventricle. prevents blood flow from the aorta to the left ventricle. What mass of carbon dioxide is produced from the complete combustion of 6.70x10-3 g ofmethane? Sunita wants to cite two pieces of scholarship in the following sentence: Guided imagery was first used in the 1960s, in relation to aversive imagery, exposure, and imaginal flooding in behavior therapy. She needs to incorporate a book-length study by Achterberg published in 1985 and an article by Utay and Miller, published by 2006. 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This poster is an example of which type of war strategy? propaganda protest financing rationing Given that f(x) = x 13x + 30 andg(x)= x-3, find f(x) g(x) andexpress the result as a polynomial in simplest form. Which value is reflected in Heracles? How does the atomic radius change as you move left to right in Period 3 from aluminum through chlorine? Refer to the periodic table.A. it generally increases.B. it does not change.C. it generally decreases.D. it varies unpredictably. About 1 percent of the population has a particular genetic mutation. 100 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 100. during the presidential election of 2000, which state's voting system came under enormous scrutiny because of voting irregularities caused by poorly designed ballots? Directions: READ the passage, and answer the question that follows.Alex the Parrot. "Calm down," Alex, an African Gray parrot, told Doctor Irene Pepperberg, the scientist who owns him. "Don't tell me to calm down," Doctor Pepperberg snapped. Sometimes Doctor Pepperberg and Alex squabble like an old married couple. He even says, "I love you." For the last 22 years, Doctor Pepperberg has been teaching Alex, who is 23, to do complex tasks that only a few nonhuman species, chimpanzees, for instance, have been able to perform. But unlike those other creatures, Alex can talk! And, doctor Pepperberg says, Alex doesn't just imitate human speech, as other parrots do. Alex can think. So, just how smart is Alex? Doctor Pepperberg says he can identify 50 different objects and count up to 6. He can tell the difference between 7 different colors and 5 shapes. He can also compare objects by using the words "bigger," "smaller," "same," and "different." Although Alex's 100 word English vocabulary is much smaller than the 800 words known by another bird, Alex is unique; he means what he says and knows what he means. Not only is he learning a language unknown to most birds, he's also doing it in a university research lab, a totally unnatural environment for a bird. But sometimes Alex refuses to work hard, Perhaps tired of having studied (and being studied) for so many years. For example, Alex may give every possible answer except the correct one (which means he knows what the correct answer is). Or he may refuse to answer questions by shouting "NO!" and turning away. Alex's bad attitude may be the only reason why his success rate remains at 80 percent. Standard tests show that African Gray parrots have the intelligence of a 4 or 5 year old human child. Emotionally, though, these birds show the negative, self centered behavior of a typical 2 or 3 year old child. Although scientists have been unable to prove that parrots can definitely remember past events or anticipate future events, many pet owners' stories support this idea. Once, for example, Alex became tired of a visiting journalist and said, "Want to go back!" Then Alex returned to the table where he had been a few minutes before and ate another nut. What question is not answered in the passage?a.Who is Alexs teacher?b.What shapes can Alex identify?c.How many colors can Alex identify?d.Why might Alex have a bad attitude?Please select the best answer from the choices providedABCDMark this and return a nurse, while off-duty, tells the physiotherapist that a client who was admitted to the nursing unit contracted aids due to exposure to sex workers at the age of 18. the client discovers that the nurse has revealed the information to the physiotherapist. with what legal action could the nurse be charged? in eby, the supreme court stated allowing contractors to make a claim against architects would do which of the following: describe the airflow around a low-pressure center (cyclone) and a high-pressure center (anticyclone) and the weather associated with each. the north american industry classification system (naics) codes a. are for firms that operate in the nafta region. b. group firms by industry. c. are a perfect classification system for firms. d. a and b. e. a and c. what is your opinion of an expat in your office being paid more than you when you are both doing the same job? explain your answer. New ___________________________ practices triggered the ________________________ Revolution 6x-5=6x+5 pls help me fast A fifty-year-old patient was recently diagnosed with diabetes. The urinalysis revealed glycosuria, indicating that the patients kidney exceeded its threshold. Which process of urine formation was ineffective?. Identify which three articles you think are the highest priority. Writethen in the space below and explain why you think they are the most important articles.