Let's compare
5/8 and 7/10

Let's Compare5/8 And 7/10

Answers

Answer 1

Answer:

5/8=25/40   7/10=28/40

Step-by-step explanation:

5/8<7/10


Related Questions

It is given & = {x: 1 ≤ x ≤ 10, x is an integer); P= {odd numbers); Q= {prime numbers) and R= {1,2,3,4,5} List the elements of each of the following sets. (a) (PNQ)UR (b) (RMP)'UQ (c) Q'N(PUR) (d) (PUQUR)' (POR)​

Answers

The elements of the required sets would be

(a) (P∩Q)∪R = {1, 2, 3, 4, 5, 7}

(b) (R∩P)'∪R = {2, 3, 4, 5, 6, 7, 8, 9, 10}

(c) Q'∩(P∪R) = {2, 3, 5, 7}

(d) (P∪Q∪R)'∩(P∩R) = ∅

What are sets?

A set is a mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

Given:

Let the universal set is (S) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

P = {Odd numbers}  = {1, 3, 5, 7, 9}

Q = {Prime Numbers} = {2, 3, 5, 7}

R = {1, 2, 3, 4, 5}

So by using the properties of sets we can find

P' = {2, 4, 6, 8, 10}

Q' = {1, 4, 6, 8, 9, 10}

R' = {6, 7, 8, 9, 10}

P∩Q = {3, 5, 7}

R'∪P' = {2, 4, 6, 7, 8, 9, 10}

P∪R = {1, 2, 3, 4, 5, 7, 9}

P∩R = {1, 3, 5}

P∪Q∪R = {1, 2, 3, 4, 5, 7, 9}

P'∩Q'∩R' = S - P∪Q∪R

                = {6, 8, 10}

Now we can find the elements of the required sets:

(a) (P∩Q)∪R = {1, 2, 3, 4, 5, 7}

(b) (R∩P)'∪R = {2, 3, 4, 5, 6, 7, 8, 9, 10}

(c) Q'∩(P∪R) = {2, 3, 5, 7}

(d) (P∪Q∪R)'∩(P∩R) = ∅

Hence, the elements of the required sets would be

(a) (P∩Q)∪R = {1, 2, 3, 4, 5, 7}

(b) (R∩P)'∪R = {2, 3, 4, 5, 6, 7, 8, 9, 10}

(c) Q'∩(P∪R) = {2, 3, 5, 7}

(d) (P∪Q∪R)'∩(P∩R) = ∅

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For each of the lines (A, B, C, and D) in the graph above, determine its relationship to the line y=3/4x and its equation.
Line A :
Line B:
Line C:
Line D:

Answers

Relationship to the line y=3/4x and its equation is line B.

What is an equation ?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

y = mx+c

y = 3/4x [which shows that the line B as the points]

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amanda wants to put some of her books on 4 shelves with 6 books on each shelf can amanda arrange her books this way explain

Answers

The number of ways the 6 books can be arranged on the 4 shelves by Amanda is 360 ways

How to determine the ways of the books can be arranged?

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

Total number of books, n = 6

Total number of shelves, r = 4

The number of ways the books could be arranged on the shelves is calculated using the following permutation formula

Total = ⁿPᵣ

Where

n = 6 and r = 4

Substitute the known values in the above equation, so, we have the following representation

Total = ⁶P₄

Apply the permutation formula

ⁿPᵣ = n!/(n - r)!

So, we have the following representation

Total = 6!/2!

Evaluate the quotient

Total = 360

Hence, the number of ways is 360

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Graph the function and select the y-intercept y = 2 times 3 Superscript x

Answers

y-intercept of given function is y = 1

How to graph the function?

The collection of ordered pairings with the (x,y). (x,y) sign is known as the graph of a function in mathematics, where  f(x)=y. x and  f(x) are Cartesian coordinates of points in two-dimensional space, and in the typical scenario where they are real numbers, they constitute a subset of this plane.

Given function , f(x) = 2· [tex]3^{x}[/tex]

Graph of the function is given below:

As the given graph is intersecting the y-axis at y=1 So, y-intercept of given function is y = 1

Therefore, y-intercept is y = 1

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ΔADE and ΔABC are similar. Which best explains why the slope of the line between points A and D is the same as the slope between points A and B ?

Answers

As ΔADE and ΔABC are similar because of their slope so correct option is A.

What are similar triangles?

Similar triangles square measure triangles that have identical form, however their sizes might vary. All equal triangles, squares of any facet lengths square measure samples of similar objects.

Main Body;

let co-ordinates of the points

A = (x₁ ,y₁ ) E =(x₂, y₂)

D =( x₃,y₃) C= (x₄ ,y₄)  B =( x₅,y₅)

Now, Slope of a line = Δy/Δx

.: Slope of line AD = y₃ -y₂/x₂-x1 .

                              = DE/AE

... Slope of line AB = y₅-y₄/x₄-x₁ = BC/ AC

Since ΔADE ~ ΔABC

Now , Slope of AD = slope of AB

=> DE/ AE = BC /AC

In option A

By property of Similar triangle -

DE /BC  = BC /АC

Hence, option A is correct answer.

All other options are incorrect

Since Sides of a similar triangle may not be equal.

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Find the equation of a line parallel to y = − x + 7 y=−x+7that passes through the point ( 4 , 5 )

Answers

The line parallel to line y= -x + 7  is y= -x + 9.

What is slope intercept form?

The intercept formula y = mx + b is used when you know the slope of the line you are examining, and the specified point is also the y-intercept (0, b). In this formula, b represents the y-value of the y-intercept.

Solution: We will use slope intercept formula y= mx + b

Given that the parallel line passes through (4,5), which means x=4 and y=5

Also, m = -1

Putting value of x and y in slope intercept form to find b, we get

y=mx + b

⇒ 5= (-1x4) + b

⇒ 5= -4 +b

⇒5 + 4= b

⇒b=9

Now putting value of b and m in slope intercept form, we get the parallel line

y= -x + 9

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Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 85 miles per hour. The eastbound train travels at 95 miles per hour. How long will it take for the two trains to be 396 miles apart?
Do not do any rounding.

Answers

The time it takes the trains 2.2 hours to be 396 miles apart.

What is time?

Time is the duration of an event.

How to find  how long will it take for the two trains to be 396 miles apart?

Since two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 85 miles per hour. The eastbound train travels at 95 miles per hour.

Let

d = distance travelled by first train = vt where v = speed of train = 85mph and t = time

Also,

D = distance travelled by secnd train = Vt where V = speed of second train = 95 mph and t = time

Since both trains move in opposite directions and leave at the same time, their distance apart after time t is D' = d + D

= vt + Vt

= 85t + 95t

= 180t

Since D' = 396 miles, we have that

396 = 180t

t = 396 m/180 mph

t = 2.2 hours

So, it takes the trains 2.2 hours to be 396 miles apart.

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Determine the quadratic function f whose graph is given.
The vertex is (3,-3) and the other given point is (2, -1).

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=3\\ y=-3 \end{cases}\implies y=a(x-3)^2 - 3\hspace{5em}\textit{we also know that} \begin{cases} x=2\\ y=-1 \end{cases} \\\\\\ -1=a(2-3)^2 -3\implies 2=a(-1)^2\implies 2=a~\hfill \boxed{y=2(x-3)^2 -3}[/tex]

Solve for x.
18
12
6.75
85.3

Answers

Step-by-step explanation:

32^2-24^2=448

square root 448=21

the small and large parallel line is 21=21

24+9=33

33^2+21^2=1530

square root 1530=39

39-32=7

~7~=6.75

x=6.75

How can we prove these triangles congruent?

Answers

The answer would be ASA

Answer:

Angle-Side-Angle or also known as ASA

Step-by-step explanation:

Compute GCD(1240, 6660)

Answers

The greatest common factor between the given two numbers will be 20.

What is the greatest common factor?

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

Given that the two numbers are 1240 and 6660. First, factorize each number and find the common multiple of both numbers.

1240 = 2 x 2 x 2 x 5 x 31

6660 = 2 x 2 x 3 x 3 x 5 x 37

The common numbers are,

2 x 2 x 5

4 x 5

20

Therefore, the greatest common factor between the given two numbers will be 20.

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-x²-22x - 121 = 0 quadratic

Answers

Answer: 11

Step-by-step explanation:

we know that : ax² + bx + c = 0

then,

a = −1

b = −22

c = −121

putting the values in the following equation:

x=−b±√b²−4ac ⁄ 2a

=−(−22)±√(−22)²−4⌈(−1)(−121)⌉  ⁄  2(−1)

=22±√484−484  ⁄ −2

=22±√0  ⁄ −2

=22 ⁄ −2

=11 ⁄ −1

=11

Hence the answer for this equation will be 11.

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What is the common difference for the arithmetic sequence?
4.7, 6, 7.3, 8.6, 9.9, …

Answers

Answer:

1.3 is the common difference.

Step-by-step explanation:

help please and thanks you

Answers

I think it is the 4th one -3<-1, as in negative integers the smallest number I’d the greatest one.

In an isosceles triangle, the measured of the third angle us 46. Which equation can be used to find x, the measure of each angle

Answers

Answer:

[tex]\huge{\boxed{46 \text{ or } 67 \text{ or } 88 \text{ degrees}}}[/tex]

Step-by-step explanation:

An isosceles triangle is a triangle in which two of the sides and angles are equal.  Because the sum of all of the angles in a triangle is 180°, you may setup the following equation.

46 + x + z = 180°

Depending on the following scenario, your answer may be one of two options.  If the "third angle" refers to the angle that is not at the base of the triangle, then your equation is as follows:

z = x

46 + x + x = 180

46 + 2x = 180

2x = 134

x = 67

If the third angle is one of the base angles and x is a base angle, then x is also 46, because base angles are equal.

If the third angle is one of the base angles and x is the third angle, then your equation is as follows:

z = 46

46 + 46 + x = 180

92 + x = 180

x = 88

Hope it helps :) and let me know if you want me to elaborate.

You need to be at least 39.37 inches tall (about a meter) to ride on a bumper car. Diego’s cousin is 35.75 inches tall. How many more inches will he need to grow before Diego can take him on the bumper car ride? Explain or show your reasoning.

Answers

Answer: 3.62 inches

Step-by-step explanation:

Diego's cousin is too short for this ride, we know how tall he is now and what height he needs to be.

This can be solved by subtracting his needed height from his current height.

39.37-35.75=3.62 inches

A sight-seeing boat travels at an average speed of 21 miles per hour in the calm water of a large lake. The same boat is also used for sight-seeing in a nearby river. In the river, the boat travels 2.6 miles downstream (with the current) in the same amount of time it takes to travel 2 miles upstream (against the current). Find the current of the river.

Answers

Answer:

Step-by-step explanation:

Let's call the speed of the boat in the river x miles per hour. The boat travels 2 miles downstream in the same amount of time it takes to travel 2 miles upstream, so the speed of the boat relative to the water is the same in both directions. We can set up the following equation to represent this relationship:

21 - x = x + current speed

Solving for x, we find that the speed of the boat in the river is (21 - x)/2 = 10.5 miles per hour.

We can then use this value to find the current speed of the river. The boat travels 2.6 miles downstream in the same amount of time it takes to travel 2 miles upstream, so the speed of the boat relative to the ground is the same in both directions. We can set up the following equation to represent this relationship:

10.5 + current speed = 10.5 - current speed

Solving for the current speed, we find that it is (10.5 - 10.5)/2 = 0.

Therefore, the current speed of the river is 0 miles per hour.

SHOW WORK PLEASE AND THANK YOU

Answers

First you have 150 dollar difference
But for every mile (40-15) 0,3 dollar difference
So just divide 150/0,3 is 500 miles for same cost

question content area top left part 1 the functions f and g are defined by the following tables. use the tables to evaluate the given composite function. f^-1

Answers

After solving, the value of f^(-1)(g(7)) is 6.

In the given question, we have to find the f^(-1)(g(7)).

The given table of functions f and g is:

x          f(x)                   y          g(x)  

-3          1                     -2          -5

0          4                     1            -4

1           5                     5            2

6         -6                     7           -6

To find the value of f^(-1)(g(7)) we put the value of g(7) from the table. As we can see in the table that at the value of g(x) at point 7 is -6.

Then we find the value of from the table of f(x).

f^(-1)(g(7)) = f^(-1)(-6)

The value of f^(-1)(-6) from the table f(x) is

f^(-1)(g(7)) = 6

Hence, the value of f^(-1)(g(7)) is 6.

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Please help me the question image is attached to the question

Answers

Answer:

10-x

Step-by-step explanation:

olivia wants to have a 90 average in algebra, where tests count for 55%, quizzes count for 30% and homework counts for 15%.If she has a 92 test average and 100% HW average, what must her quiz average be? Let x = the average of the

Answers

Olivia's quiz average must be 24.4 to achieve a 90 average in algebra.

How to calculate for the quiz average

To get the average for the quiz, we first evaluate for the sum of the test average and the homework average, and the subtract the result from 90 average in algebra.

the test average = (92/100) × 55

test average = 50.6

100% homework average implies Olivia got a homework average of 15

Let x be the quiz average, so that

x = 90 - (50.6 + 15)

x = 90 - 65.6

x = 24.4

Therefore, the quiz average of 24.4 is what Olivia needs to achieve a 99 average in algebra.

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Use the formula A=P\left(1+r/n)^nt to solve the compound interest problem.
Find how long it takes a 1700$ investment to earn 500$ interest if it is invested at 2% interest compounded quarterly.
500$ interest will be earned in approximately years. (Round to the nearest tenth.)

Answers

The total years taken to double the money according to Compounding will be 13.75 years.

What is compound interest?

Compound interest is that the interest on savings calculated on each the initial principal and therefore the accumulated interest from previous periods.

Main body:

Given :

rate = 2%

amount = $1700

Total amount = $2200

Compounded monthly,

so formula becomes,

Total amount = amount (1+r/400)^4t

T = A([tex](1+r/400)^{4t[/tex]

2200 = 1700(1 +2/400)^4t

22/17 = (1 +1/200)^4t

22/17 = (1.005)^4t

1.29 = (1.005)^4t

taking log on both sides

0.11/0.002 = 4t

t = 13.75 years.

Hence the time taken to double the money is 13.75 years.

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find the GCF for 12 and 42

Answers

Answer:

6

Step-by-step explanation:

Liam works at a zoo. He was looking at some data showing the masses of their
5
55 African elephants. The mean mass of the elephants was
3
,
800

kg
3,800kg3, comma, 800, start text, k, g, end text, and the median mass was
3
,
600

kg
3,600kg3, comma, 600, start text, k, g, end text. The smallest elephant, named Lola, weighed
2
,
700

kg
2,700kg2, comma, 700, start text, k, g, end text.
Lola then got very sick and lost weight until her mass reached
1
,
800

kg
1,800kg1, comma, 800, start text, k, g, end text.
How will Lola's mass decreasing affect the mean and median?

Answers

Median won't change, however Mean will fall by 180.

What do mean and median?

By summing all the numbers in a data collection and dividing by the total number of values in the set, one may get the mean (average) of the data set. When a data collection is sorted from least to largest, the median represents the midpoint value.

African elephants total 555 in number.

Elephants had a 3800 kg average mass.

Elephants had a 3600 kg median mass.

Lola, the elephant that was the smallest, weighed 2700 kg.

Later, Lola became really ill and lost a lot of weight, reaching a mass of 1800 kg.

What effect will Lola's weight loss have on the mean and median as well as Currently, the median is 3600 and the lowest is 2700.

now 2700 becomes 1800

so Median remains the same as 3600

No change in Median

The mean mass of the elephants was  3800 kg

=> total weight = 5 x 3800 = 19000 kg

2700 kg becomes 1800 kg

Hence new total mass = 19000 - 2700 + 1800 = 181000 kg

New Mean = 18100/5   = 3620  kg

Mean reduced by 3800 - 3620  = 180 kg

No change in Median weight

Mean reduced by 180 kg

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3. In the diagram at the right JK bisects ∠LJM ,. What is the m∠LJM ?
(1) 35
(2) 52
(3) 26
(4) 86
4. What is the area of the triangle shown on the graph below?
(1) 10
(2) 11
(3) 14
(4) 25

Answers

Answer:

3= 26

4= 11 because it is area of triangle

The midpoint of AB is at (-2.3). If A=(7,-6) , find B.

Answers

Answer:

Step-by-step explanation:

mid point = a+b/2

let b(x,y)

-2 = [7+x]/2                      3 = [-6+y]/2

-4 = 7 + x                          6 = -6 + y

-11 = x                                12 = y

Hence B is at (-11,12)

Midpoint formula is M(x1+x2/2 , y1+y2/2).
M(7+x2/2=-2 , -6+y2/2=3). From here we cross multiply
(7+x2=-2[2] , -6+y2=3[2])
(x2=-4-7 , y2=6+6)
(X2=-11 , y2=12)
(-11,12)

For a total of 28seconds, a seagull flew east at 11meterspersecond. A sailor watched the seagull fly for one-quarter of that time. How far did the seagull fly while the sailor was watching?
Write your answer as a whole number.
meters

Answers

To find out how far the seagull flew while the sailor was watching, you can use the following steps:

Calculate the total distance the seagull flew in 28 seconds. You can do this by multiplying the seagull's speed (11 meters per second) by the time it flew (28 seconds):

Distance = Speed * Time

= 11 meters/second * 28 seconds

= 308 meters

Calculate the time the sailor watched the seagull fly. You can do this by dividing the total time the seagull flew (28 seconds) by 4:

Time = 28 seconds / 4

= 7 seconds

Calculate the distance the seagull flew while the sailor was watching. You can do this by multiplying the seagull's speed (11 meters per second) by the time the sailor watched the seagull fly (7 seconds):

Distance = Speed * Time

= 11 meters/second * 7 seconds

= 77 meters

Therefore, the seagull flew 77 meters while the sailor was watching.

What are conditional problems?

Conditional problems are problems that involve determining the likelihood or probability of an event occurring under certain conditions. They often involve the use of probability and statistics to evaluate the likelihood of different outcomes or to make predictions about future events.

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SHE IS A GIRL. HER NAME IS CHRIS. CHRIS IS A GIRLS NAME. IS THIS SYLLOGISM OR DETATCHMENT

Answers

It is Syllogism. It is an example of a type of reasoning where a conclusion is reached from two given or assumed propositions, each of which shares a term with the conclusion.

A syllogism is what?

The Greek term "syllogismos," which means "conclusion, inference," is the source of the English word "syllogism." A logical argument employing assertions and deductive reasoning is known as a syllogism. The most important contribution to the topic of syllogisms is attributed to Aristotle. A major premise, a minor premise, and a conclusion make up a syllogism. One phrase from each of the premises and the conclusion are shared.

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Elizabeth is going to drive from her house to city a without stopping. Elizabeth’s house is 120 miles from Cytie and she plans to drive at a speed of 30 mph. Make a table of values and then write an equation for D in terms of t representing Elizabeth distance from city A t hours after leaving her house

Answers

A table of values that models this situation is as follows;

Distance (miles)               Time (hour)

120                                          0

150                                          1

180                                          2

210                                          3

240                                          4

An equation for D in terms of t representing Elizabeth's distance from city A, t hours after leaving her house is d = 30t + 120.

How to write a function for the distance and time?

Mathematically, a constant of proportionality (time) for Elizabeth's journey (distance) with respect to time can be represented with the following mathematical expression:

d = kt

Where:

d represents the distance.t represents the time.k represents the constant of proportionality (speed).

Therefore, the required function that relates the distance (d) and speed (s) at t hours is given by;

d = 30t + 120

Next, we would develop a table of value;

At time (t) = 1 hour, we have;

Distance, d = 30(1) + 120

Distance, d = 150 miles.

At time (t) = 2 hours, we have;

Distance, d = 30(2) + 120

Distance, d = 180 miles.

At time (t) = 3 hours, we have;

Distance, d = 30(3) + 120

Distance, d = 210 miles.

At time (t) = 4 hours, we have;

Distance, d = 30(4) + 120

Distance, d = 240 miles.

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The Cosmic Consoles factory makes video game consoles, packs them into boxes, and ships them by truck. In v boxes, there are 24v video game consoles. This morning, a truck carrying 100 boxes of the latest model game consoles left the factory.
How many video game consoles were on the truck?
Write your answer as a whole number or decimal.
video game consoles

Answers

Answer:

Step-by-step explanation:

2,400 consoles

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You have 10lbs of bananas after peeling the bananas you 3lbs. 6oz. Of banana peels. What is the yield percent as of 2015, farms were taxed at 14 percent for income up to $42,000; at 17 percent for income ranging from $42,000 to $80,000; at 32 percent for taxable income $80,000 to $93,000; at 34 percent for income from $93,000 to $208,000, and so on. suppose that you have revenues of $236,200 and operating expense of $63,100. how much tax is paid on the total taxable income? how would you characterize how cadmus and teiresias appear and how they handle the apperance of the new god. dionysus? How did the protagonist change in the resolution of your novel or short story? Describe him or her in the exposition and in the resolution to show the change. Describe the change in two to three sentences and use a quotation from the text to support your description. Include a page number for the quotation. The book theseus and the minatoar 1. predict whether you think this a fair game or not. explain your response. a. play the game 5 times. b. now do you think the game if fair or not? ju . In the picture below, in which direction will water move?into the cell out of the cell Which of the following constructions must you know how to do in order to construct an inscribed circle for a given triangle?angle bisectorperpendicular bisectorduplicating a line segmentbisecting a segment Miles is renting a meeting room at a college. There is a reservation fee of $21 and an additional fee of $4 per hour. He needs to spend no more than $85. What is the possible number of hours for which Miles could rent the meeting room? Use t for the number of hours.t 26.5t ILL GIVE BRAINLISETSimplify fraction with 7 minus 2 times 8 in the numerator and the cube root of 8 plus 6 in the denominator. negative nine eighths three eighths negative three eighths nine eighths For the molecule SeCl2, determine its Lewis structure, bonding pairs/lone pairs, electron geometry, its shape, and whether or not the molecule is polar. PLEASE HELP! THANK YOU What is chief Seattle's speech about The function f(x) is a cubic function and a limited table of values is provided below. Write the equation of the cubic polynomial in standard form. Which of the following samples of gas would have a new volume of 2.00 liters if the pressure is decreased from 4.00 atm to2.00 atm at constant temperature?6.00 L8.00 L4.00 L1.00 L [window title] remote desktop connection [content] an internal error has occurred. [^] hide details [ok] [expanded information] error code: 0x4 extended error code: 0x0 timestamp (utc): 11/28/22 03:21:28 pm press ctrl c to copy. The method for determining exercise intensity by estimating it without measuring it is called rating of. in the pseudo-nmos realization of a 2-input nor gate, the pull-down network is realized using minimum size transistors (2/4). the l/w ratio of the pmos transistor should be: 1. which theory of normative business ethics seeks to create value for people in a manner that is just and nondiscriminatory? Using the technique of main-sequence fitting to determine the distance to a star cluster requires that _____.we have telescopes powerful enough to allow us to identify the spectral types of main-sequence stars of many masses in the cluster Given the following exponential function,identify whether the change representsgrowth or decay, and determine thepercentage rate of increase or decrease.y = 970(1.042)*