49/70 in its simplest form

Answers

Answer 1

Answer:

7/10

Step-by-step explanation:

Brainliest?!?!?!?!

Answer 2

Answer: 7/10

Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!


Related Questions

Need help, show work please

Answers

Using the first two points we can get an exponential model:

[tex]y = (225/23)*(23/15)^x[/tex]

How to find the exponential equation?

The general exponential equation can be written as:

[tex]y = A*(b)^x[/tex]

We can replace any two values of the table to get the system of eqautions:

[tex]15 = A*(b)\\\\23 = A*(b)^2[/tex]

Taking the quotient between the second and the first equation we get:

[tex]23/15 = (A*b^2)/(A*b)\\\\23/15 = b[/tex]

Replacing that on the first equation we will get:

[tex]15 =A*(23/15)\\15*(15/23) = A\\225/23 = A[/tex]

Then an exponential model is:

[tex]y = (225/23)*(23/15)^x[/tex]

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What’s the constant term of the polynomial 2x^3-5x^2+8*x+3

Answers

The constant term of the polynomial 2x³-5x²+8x+3 is 3.

A polynomial is a mathematical expression consisting of variables (also called indeterminates) and coefficients, which are combined using addition, subtraction, and multiplication, but not division by a variable.

The variables in a polynomial are typically denoted by x, y, or z, and the coefficients can be constants or other polynomials.

The constant term of a polynomial is the term that doesn't have any variable attached to it. In this case, the constant term is the one that only has a number, which is 3.

Therefore, the constant term of the polynomial 2x³-5x²+8x+3 is 3.

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There were 104 females and 78 males present at the high school pep rally. Find the ratio of males to the total number of people present. Express as a simplified ratio.

Answers

Answer:

The ratio is 3:7

Step-by-step explanation:

You add 104+78

The un-simplified ratio is 78:182

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Please urgent help I can’t figure this out thank you guys for always helping

Answers

Answer:

Domain:  {-24, -12, -8, 9, 14, 50}

Range:  {23, 69, 83, 92, 97, 32}

Step-by-step explanation:

The domain of a function is the set of all possible input values (usually x) for which the function is defined. The range of a function is the set of all possible output values (usually y, which is synonymous with f(x)) that the function can produce.

For a function like f(x), each coordinate is in the form (x, f(x)) aka (x, y)

Since our x-coordinates are -24, -12, -8, 9, 14, and 50, the domain of f(x) is {-24, -12, -8, 9, 14, 50}

Since our f(x) or y-coordinates are 23, 69, 83, 92, 97, and 32, the range is {23, 69, 83, 92, 97, 32}

What is the ratio for 3 rectangles and 4 ovals in its simplest form?

Answers

The ratios for the rectangles and the ovals is 4 : 3

Calculating the ratios for the rectangles and the ovals

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

Rectangle = 4

Oval = 3

The ratio can be represented as

Ratio = Rectangle : Oval

When the given values are substituted in the above equation, we have the following equation

Rectangle : Oval = 4 : 3

The above ratio cannot be further simplified

This means that the ratio expression would remain as 4 : 3

Hence, the solution is 4 : 3

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What the meaning of statement this?

Answers

The statement means that an n-ary operation on set X takes n inputs and produces a single output, with the operation defined by the function f:[tex]X^n[/tex] -> X.

The statement "An n-ary operation on x is functions f:X^n -> X" can be understood as follows:

In mathematics, an n-ary operation refers to an operation that takes n inputs and produces a single output. In this case, the operation is defined on a set X, and the inputs are elements from X. The result of the operation is also an element from X.

The symbol "f" represents the function that performs the n-ary operation. The function f takes n arguments, which are elements from the set X. The notation [tex]X^n[/tex] indicates the Cartesian product of X with itself n times, meaning that the inputs are taken from X and repeated n times as ordered tuples. The arrow "->" signifies that the function f maps the n-tuple of inputs to a single element in X.

To put it simply, the statement is describing a mathematical operation that takes n elements from a set X and combines them in some way to produce a single element, where the combination is determined by the function f. This function f can be defined explicitly based on the specific operation being considered.

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please help me important question in image

Answers

Segment BF is 36 will be the accurate statement.

Similarity theorem of triangle

A triangle known to be similar if the ratio of similar sides of the triangle is equal to a constant.

From the given triangle, the following expression is true:

EC/FC = AC/BF+FC

Substitute the given parameters into the formula to have:

20/30 = 24+20/BF+30

20/30 = 44/BF+30

2/3 = 44/BF + 30

2(BF+30) = 132

2BF + 60 = 132

2BF = 132 - 60

2BF = 72

BF = 36

Hence the correct statement will be that segment BF is 36

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At the beginning of the week, James has 8 quarts of milk. At the end of the week there are 412 cups of milk left.

How many cups of milk did James drink during the week?

Answers

James drank [tex]$27 \frac{1}{2}$[/tex] cups of milk during the week

To determine how many cups of milk James drank during the week, we need to find the difference between the initial amount of milk and the amount of milk left at the end of the week. The initial amount of milk: 8 quarts = [tex]$8 \times 4 = 32$[/tex] cupsThe remaining amount of milk: [tex]$4 \frac{1}{2}$[/tex] cupsTo find the amount of milk James drank, we subtract the remaining amount from the initial amount: [tex]$32 \text{ cups} - 4 \frac{1}{2} \text{ cups} = 27 \frac{1}{2}$[/tex] cupsThe concept used in this problem is subtraction. By subtracting the amount of milk left at the end of the week from the initial amount of milk, we can determine how much milk James consumed during the week. The difference between these two values represents the amount of milk that James drank.

Therefore, James drank [tex]$27 \frac{1}{2}$[/tex] cups of milk during the week.

NOTE: The given question has wrong information. The correct question is:

"At the beginning of the week, James has 8 quarts of milk. At the end of the week, there are [tex]$4 \frac{1}{2}$[/tex] cups of milk left. How many cups of milk did James drink during the week?"

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the box plot below represents some data set. what percentage of the data values are greater than 130​

Answers

The percentage of the data values that are greater than 130 is 25%

What percentage of data values are greater than 130

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

The box plot

From the box plot, the five-number summary are

40, 70, 110, 130, and 150

In the above five-number summary, we have

Third quartile = 130

This means that the percentage of the data values that are greater than 130 is 25%

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HELP PLEASE ASAP PHOTO INCLUDED

Answers

The volume of water that the pool can hold is  150.72 cubic centimeters.

How to find the volume of the pool?

Remember that the volume of a cylinder of radius R and height H is:

V = pi*R²*H

Where pi = 3.14

For the pool we know that the height is H = 3ft, and the diameter is 8ft, then the radius is R = 8ft/2 = 4ft

Replacing that in the volume formula we will get:

V = 3.14*(4cm)²*3cm

V = 150.72 cubic centimeters.

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A thermometer reading 10°C is brought into a room with a constant temperature of 36°C. if the thermometer reads 14°C after 2 minutes, what will it read after beint left in the room for 4 minutes? and for 9 minutes?​

Answers

Answer:

4 minutes: 17.4 °C9 minutes: 23.7 °C

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

4 minutes: 36 -26(11/13)^(4/2) ≈ 17.4 °C9 minutes: 36 -26(11/13)^(9/2) ≈ 23.7 °C

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

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Nancy flew home from vacation with a heavy bag. With the first airline she flew, Nancy had to pay $20 to check her bag, plus $5 for every pound that her bag was over the weight limit. The next flight was with another airline that had the same weight limit. Nancy had to pay $4 per pound that her bag was over the weight limit, in addition to the checked bag fee of $25. By coincidence, the fees ended up being the same with both airlines. How far over the weight limit was the bag? Write a system of equations, graph them, and type the solution.​

Answers

Nancy's bag was 0.2kg over the weight limit.

What weight in which Nancy's bag exceeded limit?

Let's denote the weight limit as x.

The total cost for the first airline can be expressed as:

Cost1 = 20x + 5

The total cost for the second airline is given by:

Cost2 = 25x + 4

As fees were same with both airlines, we will set up equation to find the weight difference:

20x + 5 = 25x + 4

20x-25x = 4-5

-5x = -1

x = -1/-5

x = 0.2kg

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Select the correct answer from the drop-down menu. The missing term in the denominator is

Answers

Answer: where is the answer choices

Step-by-step explanation:

You are holding a kite string in your hand and your hand is 3 feet above the ground. The kite is 225 feet above the ground and the angle of elevation from your hand to the kite is 42°. How long is the kite string?

Answers

The kite string is 331.77 feet long.

How to find how long the kite string is?

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Check the attached image for labeling. Where l represents the length of kite string.

h = 225 - 3 = 222 ft

Using trig. ratio:

sin 42° = 222/l

l = 222 / sin 42°

l = 331.77 feet

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Identify the part, percent and base.

$37.60 interest earned on a $460 investment at 8%.

Part:

Percent:

Base:

Answers

The given information is,$37.60 interest earned on a $460 investment at 8%.

Part:The amount of interest earned is called the part. Here, the amount of interest earned is $37.60. Hence the part is $37.60.

Percent:The rate per 100 units of the base is called the percent. Here, the percent rate is 8%.

Base:The original amount invested or borrowed is called the base. Here, the original investment amount is $460. Hence the base is $460.

Thus,

Part: $37.60

Percent: 8%

Base: $460.

Part: The part is the interest earned, which is $37.60.

Percent: The percent is 8%, which represents the annual interest rate.

Base: The base is the amount of the investment, which is $460.

geometry need help please

Answers

First we need to simplify the side lengths
Squared root of 21 is 4.58
Squared root of 85 is 9.22

Now the next step is to find the angle of N
We have the opposite and hypotenuse of angle N so we can use Sin

The equation for Sin is : opposite/hypotenuse

Since we are finding an angle we need to use sin of -1

Sin^-1 ( opposite / hypotenuse)
Sin ^1 (4.58/9.22) = about 30 degrees

Because we need to find cos we need the adjacent side length.
We can use the formula a^2 + b^2 = c^2
4.58^2 + b^2 = 9.22^2
B = 8


Plug in 30 degrees for the cos (n)
Cos = adjacent/ hypotenuse
Cos (30) = 8/9.22 = 0.87

Answer is 0.87

The side of a square is measured to be 16 ft with a possible error of ±0.1 ft. Use linear approximation or differentials to estimate the error in the calculated area. Include units in your answer.

Answers

The estimated error in the calculated area is approximately 3.2ft²

How did we estimate the error?

To estimate the error in the calculated area of a square, use linear approximation or differentials.

The area of a square is given by the formula A = s², where s represents the length of a side.

Calculate the area of the square using the given side length of 16 ft:

A = (16 ft)²

A = 256 ft²

Now, let's consider the possible error in the side length, which is ±0.1 ft. Treat this error as a change in the side length (Δs) and use linear approximation or differentials to estimate the corresponding change in the area (ΔA).

Using linear approximation, express the change in the area as:

ΔA ≈ 2s Δs

Substituting the values:

ΔA ≈ 2(16 ft)(0.1 ft)

ΔA ≈ 3.2 ft²

Therefore, the estimated error in the calculated area is approximately 3.2ft².

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x + 2y = 2 y = −2x − 2

Answers

The solution of the system of equations is (-2, 2).

How to solve the system of equations?

Here we want to find the solution of the system of equations:

x + 2y = 2

y = -2x- 2

To solve this, we can replace the second equation into the first one, then we will get:

x + 2*(-2x - 2) = 2

Now we can solve that for x:

x - 4x - 4 = 2

-3x = 2 + 4

-3x = 6

x = 6/-3 = -2

Thus, the value of y is:

y = -2*-2 - 2

y = 4 - 2 = 2

The solution of the system is (-2, 2)

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Complete question:

"Which is the solution of the system of equations?

x + 2y = 2

y = -2x- 2"

Find the quotient and express the answer in scientific notation. 302 ÷ (9.1 x 10^4 )

Answers

The  quotient of 302 ÷ (9.1 x [tex]10^4)[/tex] in scientific notation is approximately 3.31868131868 x [tex]10^1[/tex]

How to find the quotient

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x[tex]10^1[/tex]

Therefore, the quotient of 302 ÷ (9.1 x [tex]10^4[/tex]) in scientific notation is approximately 3.31868131868 x[tex]10^1[/tex]

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increase a gross by 10%​

Answers

The results of increasing a gross by 10% is 158.4.

What is percentage?

Percentage refers to the amount, number or rate of something, regarded as part of a total of 100.

In mathematics, gross is written in figures as 144

increase a gross by 10%

= 144 + (10% × 144)

= 144 + (0.1 × 144)

= 144 + 14.4

= 158.4

Hence, 158.4 is the 10% increase in gross.

Complete question:

Calculate the increase in a gross by 10%.

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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

The proof of ΔRUV ≅ ΔSUT is shown below.

Given that:

RSTV is a rectangle and U is the midpoint of VT.

Here, We have to Prove:

⇒ ΔRUV ≅ ΔSUT

Now, We can prove as;

Statement                               Reason

1) RSTV is a rectangle               Given

2) Angle V and T are                Because every angle in a rectangle is 90

right triangle.

3) ∠V ≅ ∠T                               Because both are right angle.

4) U is the midpoint of VT.        Given

5) VU = UT                                By midpoint theorem.

6) VR ≅ TS                                Opposite sides of rectangle.

7) ΔRUV ≅ ΔSUT                       By SAS congruency theorem.

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find the surface area of a regular hexagonal pyramid with the base edges of 10 and a slant height of 9 inches.

Answers

The surface area of the regular hexagonal pyramid is equal to 529.8 in² to the nearest tenth.

How to calculate for the surface area of the regular hexagonal pyramid

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of nonagon × (n)number of side

apothem = s/[2tan(180/n)]

apothem = 10in[2tan(180/6)]

apothem = 5√3in

perimeter = 6 sides × 10in = 60 in²

Area of the bottom hexagon = 1/2 × 5√3 × 60 in²

Area of the bottom hexagon = 259.8075 in²

Area of one triangle side face = 1/2 × 10in × 9in = 45 in²

Area of 6 triangle side faces = 6 × 45 in² = 270 in²

Surface area of the regular pyramid = 259.8075 in² + 270 in²

Surface area of the regular pyramid = 529.8 in²

Therefore, the surface area of the regular hexagonal pyramid is equal to 529.8 in²

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LUUK al uit grapii velow.
Part B
-4
Part A
-3-2
Part C
3
2
-2
-3
Part D
Which part of the graph best represents the solution set to the system of
inequalities y ≥x+1 and y + x>-1? (5 points)

Answers

The solution set of given inequalities are represented by Part A.

The given inequalities are

⇒ y ≥ x + 1 and y + x > -1

Hence, The related equations of both inequalities are

y = x + 1

Put x=0, to find the y-intercept and put y=0, to find x intercept.

y = 0 + 1

y = 1

And, 0 = x + 1

x = - 1

Therefore, x-intercept of the equation is (-1,0) and y-intercept is (0,1).

Similarly, for the second related equation

y + x = - 1

y + 0 = - 1

y = - 1

0 + x = - 1

x = - 1

Therefore x-intercept of the equation is (-1,0) and y-intercept is (0,-1).

Now, join the x and y-intercepts of both lines to draw the line.

Now check the given inequalities by (0,0).

0 ≥ 0 + 1

0 ≥ 1

It is a false statement, therefore the shaded region is in the opposite side of origin.

0 + 0 ≥ - 1

0 ≥ - 1

It is a true statement, therefore the shaded region is about the origin.

Hence, From the below figure we can say that the solution set of given inequalities are represented by Part A.

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make a table for each equation using the following numbers as : x -2,-1,0,1
y=3x-2

Answers

The equation y = 3x - 2. can be placed in table as shown below. For example, when x = -2, y = 3(-2) - 2 = -8. Similarly, when x = -1, y = 3(-1) - 2 = -5, and so on.

In this table, each row represents a pair of values (x, y) that satisfy the equation y = 3x - 2. For example, when x is -2, y is calculated as 3(-2) - 2 = -8. Similarly, for the other values of x, the corresponding values of y are calculated accordingly.

Here's a table showing the values of x and the corresponding values of y for the equation y = 3x - 2:

x y

-2 -8

-1 -5

0 -2

1 1

To fill in the table, substitute each value of x into the equation and calculate the corresponding value of y. For example, when x = -2, y = 3(-2) - 2 = -8. Similarly, when x = -1, y = 3(-1) - 2 = -5, and so on.

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Does the data follow a normal distribution? Why or why not?

Answers

Yes. It follows the normal bell curve

Find the greatest common factor of 21x^4 and 49x^3

Answers

The greatest common factor of two terms given as 21x⁴ and 49x³ is equal to  7x³.

To find the greatest common factor (GCF) of two terms, we need to find the highest factor that is common to both terms. In this case, we have 21x⁴ and 49x³.

To find the factors, we can break each term down into its prime factors:

21x⁴ = 3 * 7 * x * x * x * x

49x³ = 7 * 7 * x * x * x

The common factors are 7 and x³. To find the GCF, we multiply these common factors together:

GCF = 7  * x³

GCF = 7x³

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Suppose you pick 4 cards randomly from a well shuffled standard deck of 52 playing cards. The probability that you draw the 2,4,6, and 8 of spades in that order is

Answers

The probability of drawing the 2, 4, 6, and 8 of spades in that specific order is 0.0002.

What is the probability?

The probability of drawing a specific card without replacement from a well-shuffled deck is 1/52 for the first card, 1/51 for the second card, 1/50 for the third card, and 1/49 for the fourth card.

We wish to draw the specific cards (2, 4, 6, and 8 of spades) in that specific order.

The probability will be:

Probability = (1/52) * (1/51) * (1/50) * (1/49)

probability = 0.0002.

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A school class went on a field trip to see a magician perform there were 17 females 20 males in the class the magicians randomly selected a volunteer from the audience in which had 52 females and 68 males given that the randomly selected audience member is a student from the class which equation can be used to find the probability p that the perdimos also a female?please help does anyone know the answer

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ASK AN EXPERT

Answers

The probability p that the perdimos is also a female is 17/120

What is Conditional Probability?

Conditional Probability is the possibility or likelihood of an event or outcome happening, based on the existence of a previous event or outcome.

How to determine this

When there were 17 females in class

And 20 male in class

When randomly selected, the female are 52

And males are 68

To calculate the selected volunteer is a student of the class.

= 20 + 17/52 + 68

= 37/120

To calculate the probability that the selected student is female.

= 17/52 + 68

= 17/120

= 0.14

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Extract the common factor from
(1) 2.x-2.y
(2) 5.x.x.x+5.3.x.y​

Answers

Answer:

(1) 2x - 2y = 2(x - y)

(2) 5x^3 + 15xy = 5x(x^2 - 3y)

Find your answer on above picture ihope it will help you thank you.

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.

Answers

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

How to calculate the probability

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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The following reaction occurs in basic solution. Identify the oxidizing agent. Note the reaction equation is not balanced.H2O(l) + Zn(s) + NO3-(aq) + OH- (aq) --> Zn(OH4)42-(aq) + NH3(aq)a.NH3(aq)b. OH- (aq)c. H2O(l)d. NO3-(aq)e. Zn(s) an rlc circuit consists of a 160 resistor, a 21.0 f capacitor, and a 440 mh inductor, connected in series with a 120 v, 60.0 hz power supply. In which situation would it be necessary to use an SDS-PAGE gel instead of an agarose gel? 0 To run aprotein sample. C) To run a sample horizontally. 0 To run a DNA sample. 0 To run a sample that containssmall size differences within the sample. C) To run a small sample (low kDa value). The larger the investment you make, the easier it will be toQuestion 8 options:get money from other sources.guarantee cash flow.buy insurance.streamline your products. In the table, determine how each event affects the position of the long-run aggregate supply This economy's primary source of foreign oil decides to cease exports for political reasons. A natural disaster destroys a significant amount of the economy's production facilities. The government allows more immigration of working-age adults. Set up, but do not evaluate, an integral that uses the disk/washer method to find the volume of the solid obtained by rotating the region bounded by the graphs of y=x2+4 and y=12x2 about the line y=2. A gas is in a container at a pressure of 26.6 atm. The container is at a temperature of 16.9 oC. What will the final pressure be if the temperature is increased to 37.0 C? (Round your answer to have 1 decimal place) if the rpms on the larger gear 2 is 200 rpms and our gear reduction is 2.7, what is the output rotation in rpms for the smaller gear 1? What are the components used in PKI? identify the initial and final oxidation states for the element carbon in the equation c(s)co(g)initial oxidation state:final oxidation state: A GDP price index of 200 in year 2 means that prices in year 2 are on average 100% higher than in the base year prices in year 2 are on average 13 times that in the base year prices in year 2 are on average 200% higher than in the base year prices in year 2 are on average 20% higher than in the base year The Five Factors have been found across cultures and show some permanence with _____. a. race b. age c. gender d. sexual orientation. how many neutrons are produced in the induced fission reaction 1 0n 235 92u 94 38sr 140 54xe neutrons? a) 2. b) 3. c) 1. d) 0. 2ag(s) cl2(g)2agcl(s)2ag(s) cl2(g)2agcl(s) gibbs standard free-energy value for agcl(s)agcl(s) is 109.70 kj/molkj/mol express your answer without scientific notation and using one decimal place. Each of the following are considered to be reasons why Alderfers ERG model is more useful than Maslows EXCEPT:a. ERG does a better job of identifying different motivational categories.b. There is stronger evidence for three need categories and their order than for Maslows five need categories and their relative order.c. ERG theory did a better job of identifying motivators than did Maslow.d. ERG more explicitly focuses attention upon movement through the set of needs in both directions.e. All of these are true why Alderfers ERG model is more useful than Maslows Three characteristics of an intreprenuer that may assist aschool leaver to become a successful business owner ASAP!! HELPP??!!!Triangle XYZ is similar to triangle JKL.Triangle XYZ with side XY labeled 8.7, side YZ labeled 7.8, and side ZX labeled 8.2 and triangle JKL with side JK labeled 13.92.Determine the length of side LJ. 4.59 5.13 12.48 13.12 From a tract of land, a developer plans to fence a rectangular region and then divide it into two identical rectangular lots by putting a fence down the middle. Suppose that the fence for the outside boundary costs $20 per foot and the fence for the middle costs $8 per foot. If each lot contains 10,140 square feet, find the dimensions of each lot that yield the minimum cost for the fence. length of side parallel to the middle fence length of side perpendicular to the middle fence Compute the scalar line integral [. xy ds where is the part of the circle of radius 4, centered at the origin, that lies in the quadrant defined by the conditions < < 0 and y> 0. Which of the following is NOT a function of local enforcement agencies that work with the FDA? A. To aid product marketers B. To ask for recall of products C. To seize volatile products D. To refuse entry of imports Please select the best answer from the choices provided. A B C D.