Write a porportion that you can use to convert 60 inches to centimeters

Answers

Answer 1
60 inches x (2.54 cm / 1 inch) = 152.4 cm
Answer 2

Answer:

152.4 centimeters.

Step-by-step explanation:

1 inch = 2.54 centimeters

60 inches = x centimeters

Where x is the number of centimeters equivalent to 60 inches.

To solve for x, we can set up a proportion:

1 inch / 2.54 centimeters = 60 inches / x centimeters

Cross-multiplying, we get:

1 inch * x centimeters = 2.54 centimeters * 60 inches

Simplifying, we get:

x = (2.54 cm/in) * (60 in)

x = 152.4 cm

Therefore, 60 inches is equivalent to 152.4 centimeters.


Related Questions

[Part A] Which is the ratio for sin A, written as a fraction in simplest form?

Answers

The ratio for sin A, written as a fraction in simplest form, is 3 / (2√3).

The sine function is a mathematical function that takes an angle as its input and returns the ratio of the length of the side opposite to the angle to the length of the hypotenuse in a right triangle

In a right triangle, the sine of an angle A is defined as the ratio of the length of the side opposite to angle A to the length of the hypotenuse. Therefore, we have:

sin A = Opposite / Hypotenuse

Substituting the given values, we get

sin A = CB / AB = 8√3 / 16 = √3 / 2

To simplify this fraction further, we can multiply both the numerator and denominator by √3:

sin A = (√3 / 2) × (√3 / √3) = 3 / (2√3)

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The given question is incomplete, the complete question is:
Which is the ratio for sin A, written as a fraction in simplest form?

Can you pls help? This is geometry

Answers

Answer:

[tex]x^{2} + y^{2} = 36[/tex]

Step-by-step explanation:

The form of the equation for a circle is [tex](x-h)^{2} + (y-k)^{2} = r^{2}[/tex], where [tex](h, k)[/tex] is the center and [tex]r[/tex] is the radius. Here, (h, k) is (0,0) and r is 6, so the equation would just be [tex]x^{2} + y^{2} = 36[/tex].

Answer:

x² + y² = 36 (top right answer)

Formula for the circle:

(x - h)² + (y - k)² = r²

h = X center point  

k = Y center point

Hey I need help with this can someone help me please.

Answers

The coordinates of point U are (-h, 0).

What is the coordinate of point U?

To find the coordinates of point U in the parallelogram RSTU, we can use the properties of parallelograms. In a parallelogram, opposite sides are parallel, and hence they have the same slope.

Given that point S is at (0, 0), we can calculate the slope of RS as follows:

Slope of RS = (y2 - y1) / (x2 - x1)

= (0 - g) / (0 - (-f)) (Substituting coordinates of R and S)

= g / f

Since RS and TU are opposite sides of the parallelogram, they must have the same slope. Thus, the slope of TU is also g / f.

Given that point T is at (h, 0), we can calculate the equation of the line TU in point-slope form using the slope we just found:

y - y1 = m(x - x1) (Point-slope form of a line)

where;

m is the slope of TU and (x1, y1) is the coordinates of point T.

Plugging in the values, we get:

y - 0 = (g / f)(x - h)

Simplifying, we get:

y = (g / f)x + gh / f

Now, we can substitute the coordinates of point U, which are (x, y), into the equation we just found:

y = (g / f)x + gh / f

y = (g / f)x + gh / f

Since U lies on the x-axis (i.e., y = 0), we can set y = 0 in the equation and solve for x:

0 = (g / f)x + gh / f

(g / f)x = -gh / f

x = -h

So, the x-coordinate of point U is -h.

Now, we can substitute the value of x = -h into the equation we found earlier to get the y-coordinate of point U:

y = (g / f)x + gh / f

y = (g / f)(-h) + gh / f

y = -gh / f + gh / f

y = 0

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The term of an AP is 75 and the 25th is also 75. Find the common difference and the sum of the 100terms

Answers

According to arithmetic progression, the sum of the first 100 terms is 7500 and the common difference is 0.

In this case, we know that the first term (a1) is 75, and the 25th term (a25) is also 75. So we can use the formula with n = 25:

common difference = (a25 - a1) / (25 - 1)

common difference = (75 - 75) / 24

common difference = 0

Since the common difference is 0, this means that all the terms in the sequence are the same. In other words, this is not really an arithmetic progression - it's just a sequence of 100 terms, all of which are equal to 75.

To find the sum of the first 100 terms, we can use the formula:

sum = (n/2)(first term + last term)

where n is the number of terms, and the last term is the 100th term.

In this case, we know that the first term (a1) is 75, and all the terms are the same. So the last term (a100) is also 75. Therefore, we can use the formula with n = 100:

sum = (100/2)(75 + 75)

sum = 50 x 150

sum = 7500

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Please help!!! It would be highly appreciated!!!

Answers

Answer:

  -x⁵ +3x² +3x +C

Step-by-step explanation:

You want the indefinite integral of (-5x⁴ +6x +3).

Power rule

The power rule for integration is the reverse of the power rule for derivatives.

  [tex]\begin{array}{ll}\text{Derivative:}&\dfrac{d(x^n)}{dx}=n\cdot x^{n-1}\\\\\text{Integral:}&\displaystyle\int {x^n}\,dx=\dfrac{x^{n+1}}{n+1}\end{array}[/tex]

Application

An indefinite integral represents a family of functions, each with the same derivative. In general, they may differ by a constant. That constant is necessary to signify the functions that will have the given expression as their derivative.

  [tex]\displaystyle\int {(-5x^4+6x+3)}\,dx=-5\dfrac{x^{4+1}}{4+1}+6\dfrac{x^{1+1}}{1+1}+3\dfrac{x^{0+1}}{0+1}=\boxed{-x^5+3x^2+3x+C}[/tex]

Use the X method to find the solutions of

6x2 + 2x – 20 = 0.

x =
-5
-2
1
2
x =
-10/3
-4/3
2/3
5/3

Answers

The values of x using the X method are x = -2 and x = 5/3, or in decimal form: x = -2, x = -1.33, and x = 0.83.

Polynomials

Using the X method:

Step 1: Multiply the coefficients of the first and last terms: 6 × (-20) = -120.Step 2: Find two factors of -120 that add up to the coefficient of the middle term, which is 2. The factors are 12 and -10.Step 3: Rewrite the middle term using the two factors: 6x^2 + 12x - 10x - 20 = 0.Step 4: Group the first two terms and the last two terms: (6x^2 + 12x) + (-10x - 20) = 0.Step 5: Factor out the GCF of each group: 6x(x + 2) - 10(x + 2) = 0.Step 6: Factor out the common binomial factor (x + 2): (x + 2)(6x - 10) = 0.Step 7: Solve for x:

x + 2 = 0 or 6x - 10 = 0

x = -2 or x = 10/6 = 5/3

Therefore, the solutions are x = -2 and x = 5/3, or in decimal form: x = -2, x = -1.33, and x = 0.83.

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URGENT - Will also give brainliest to simple answer
Find the length of the arc that outlines the sector ​

Answers

Answer:

arc length ≈ 37.7

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

    = 2πr × [tex]\frac{135}{360}[/tex] ( r is the radius )

   = 2π × 16 × [tex]\frac{3}{8}[/tex]

   = 32π × [tex]\frac{3}{8}[/tex]

  = 4π × 3

  = 12π

  ≈ 37.7 ( to the nearest tenth )

Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112. 96 for 138 miles. Carl’s cost for his truck was $142. 78 for 209 miles. Which equation can be used to represent the cost of the rental truck?

Round to the nearest hundredth if necessary. Y = 71 x minus 29. 82
y = 25 x minus 66
y = 0. 42 x + 71
y = 0. 42 x + 55

Answers

The equation that represents the cost of the rental truck is y = 0.42x + 71. The Option C is correct.

Which equation represents cost of rental truck?

Let x be the number of miles driven

Let y be the cost of the rental truck.

We can set up a system of equations to represent the given information:

For Bob:

y = mx + b

112.96 = 138m + b

For Carl:

y = mx + b

142.78 = 209m + b

Solving for b in both equations, we get:

b = 112.96 - 138m

b = 142.78 - 209m

Setting the two expressions for b equal to each other, we get:

112.96 - 138m = 142.78 - 209m

209m - 138m  = 142.78 - 112.96

71 m = 29.82

m = 0.42

Substituting m into equation for b:

b = 71.

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Suppose you are given two ordered pairs A and B. Explain how to write the equation of a line parallel to AB through a given point.

Answers

Answer: To write the equation of a line parallel to AB through a given point, we need to follow these steps:

Find the slope of the line AB. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1)/(x2 - x1)

Let the coordinates of points A and B be (x1, y1) and (x2, y2) respectively. Then, the slope of the line AB is:

m = (y2 - y1)/(x2 - x1)

Since we want to find the equation of a line parallel to AB, the slope of this line will also be equal to m.

Let the given point be (x0, y0). Using the point-slope form of the equation of a line, we can write the equation of the line passing through (x0, y0) with slope m as:

y - y0 = m(x - x0)

Substituting the value of m found in step 1, we get:

y - y0 = (y2 - y1)/(x2 - x1) * (x - x0)

This is the equation of the line parallel to AB passing through the point (x0, y0).

Note that we assume that the line passing through A and B exists and is not vertical. If the line is vertical, then its slope is undefined, and we cannot find the equation of a parallel line using this method. In that case, we need to use a different method to find the equation of the line.

Step-by-step explanation:

A certain number is increased by 6 and then multiplied by 4. This equals 94.

Answers

Answer:

22

i took this one

Answer:

17.5

Step-by-step explanation:

94 divided by 4 is 23.5 and I subtracted 6 from 23.5

Determine if the following system of equations has no solutions,infinitely many solutions or exactly one solution -x+5y=-8 2x-10y=10

Answers

Answer:



Step-by-step explanation:

In the 30-60-90 triangle below side s has a length of And hypotenuse has a length of

Answers

Answer:

 D. √3 ; 2

Step-by-step explanation:

 30/60/90 triangles have sides of 1/√3/2 respectfully.

30 pairs with 1, 60 pairs with √3, 90 pairs with 2.

the angles pair with whatever side it is directly diagonal to.

i hope this helped you in some way! let me know if you are confused.

edit: my brainly keeps messing up my text

uppose we have the anova results from an experiment to compare yields (as measured by dried weight of plants) obtained under a control and two different treatment conditions. calculate the mean square treatment

Answers

Answer: To calculate the mean square treatment (MST), we need to have the sums of squares for treatment (SST) and the degrees of freedom for treatment (dfT).

Assuming that there are k treatment groups and a total of n observations, we can calculate SST and dfT as follows:

SST = Σ(xi - x_bar)^2 - Σ(yi - y_bar)^2 / n

where xi is the dried weight of plants for the i-th treatment group, x_bar is the mean dried weight of plants for all treatments combined, yi is the dried weight of plants for the control group, and y_bar is the mean dried weight of plants for the control group.

dfT = k - 1

Once we have calculated SST and dfT, we can find MST by dividing SST by dfT:

MST = SST / dfT

Note that SST is the sum of squares for treatment, which represents the variation in the response variable that is due to the different treatment conditions. MST represents the average amount of variation in the response variable that can be attributed to the treatment conditions.

Without knowing the specific values for the dried weight of plants, it is not possible to calculate SST and dfT, and therefore the MST.

Step-by-step explanation:

What is 475. 189 475. 189 rounded to the nearest hundredth? ​

Answers

After rounding 475.189 to the nearest hundredth we get 475.19 .

Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.

Rules of rounding a number to its nearest hundredth is,

The original number would be rounded up to two decimal places as it represents to its hundredth decimal place.

If the digit after the second decimal place of the original number is greater than (equals to) 5 then we round up the number, by increasing the previous place value digit by 1.

And if the digit after the second decimal place of the original number is lesser than 5 then we round down the number, by decreasing the previous place value digit by 1.

Here in 475.189 the digit after second decimal is 9 which is greater than 5, hence we round up the number by increasing the previous value (that is, second decimal digit)  by 1 we get 475.19 (to the nearest hundredth).

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Quadrilateral ABCD has diagonals AC and BD. Which information
is not sufficient to prove ABCD is a parallelogram?
(1) AC and BD bisect each other.
(2) AB CD and BC
(3) ABCD and AB
(4) ABCD and BC

Answers

On solving the provided query we have Another characteristic of parallelograms is that one of the diagonals, BC, bisects the other side, AD, as stated in statement (4).

What is equation?

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

The facts (3) ABCD and AB are insufficient to demonstrate that ABCD is a parallelogram.

The diagonals are bisected by each other, which is a characteristic of parallelograms, according to statement (1).

According to statement (2), opposing sides of a parallelogram are congruent and parallel, which is another characteristic of parallelograms.

Another characteristic of parallelograms is that one of the diagonals, BC, bisects the other side, AD, as stated in statement (4).

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HELP ASAP ON TIME LIMIT !!
Add.
(4d + 7) + (4d² + 8d + 9)

Answers

The expression (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.

Adding the expressions

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

(4d + 7) + (4d² + 8d + 9)

We can simplify the expression by combining like terms:

(4d + 7) + (4d² + 8d + 9) = 4d² + (4d + 8d) + (7 + 9)

= 4d² + 12d + 16

Therefore, (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.

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10-
9
8
7
6
654321
AJ
B
1 2 3 4 5 6 7 8 9 10
a) What are the coordinates of A?
b) What are the coordinates of B?
X

Answers

The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).

How to find the coordinates

If M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.

You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).

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Find the coordinates of B when it is given that A(5,-2) and M(12,6),

The downside of using an interface for integration is that the data will not be as ________ as it would be if it were integrated more directly.
A) accurate
B) timely
C) economical
D) valuable

Answers

The downside of using an interface for integration is that the data will not be as accurate as it would be if it were integrated more directly.

When it comes to integrating data between different systems or applications, there are different approaches that can be taken.

One common method is to use an interface, which acts as a bridge between the two systems and facilitates the exchange of data.

However, while interfaces can be useful for integrating data, there are some downsides to this approach, including the potential for reduced accuracy.

The reason for this is that interfaces often require data to be transformed or mapped between the two systems, which can introduce errors or inconsistencies.

For example, if the data in one system is stored in a different format or with different data types than the other system, this may need to be converted before it can be transferred.

Similarly, if there are differences in the way that data is organized or labeled in the two systems, this can create challenges when integrating the data.

In contrast, more direct methods of integration, such as database replication or data synchronization, can be more accurate since they involve copying data directly from one system to another without the need for transformation or mapping.

However, these methods can also be more complex and costly to set up and maintain.

Ultimately, the choice of integration method will depend on the specific needs and constraints of the organization. While interfaces may have some drawbacks in terms of data accuracy, they can still be a useful tool for integrating data in many situations.

It is important to carefully consider the tradeoffs between different integration methods and choose the one that best meets the needs of the business.

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The radius of a circle is 9 inches. What is the area of the circle to the nearest tenth? Question 2 options: 28.3 square inches 56.5 square inches 224.8 square inches 254.3 square inches

Answers

The area of the circle rounded of to the nearest tenth having radius 9 inches is 254.3 square inches.

Hence option d is the correct answer.

The radius of a circle is, say r = 9 inches

The formula of calculating area of a circle is,

Area = πr² (square units)

= π(9)² square inches

= 81π square inches

Let us take π= 3.14 (approximated up to two decimal places).

Thus, area of the circle = 81(3.14) square inches = 254.34 square inches

Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.

Rounding of a number to its nearest tenth gives the original number to round of to one decimal place.

Here Area =  254.34 square inches is rounded of to the nearest tenth is 254.3 square  inches, since the digit after the first decimal place of the original number is lesser than 5 then we round down the number by decreasing the previous place value digit by 1.

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Carmen deposits $600 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 3 years

Answers

Carmen will be paid $36 in interest in the first 3 years on her deposit of $600 at a simple interest rate of 2% per year.

Given

Principal: $600

Annual interest rate: 0.02

Time period: 3

To Find

Interest ?

Solution

To calculate the interest that Carmen will be paid in the first 3 years on her deposit of $600 at a simple interest rate of 2% per year, we can use the formula:

I = P * r * t

where I is the interest, P is the principal (the initial amount deposited), r is the annual interest rate (as a decimal), and t is the time period (in years).

Substituting the given values, we get:

I = 600 * 0.02 * 3

I = $36

Therefore, Carmen will be paid $36 in interest in the first 3 years on her deposit of $600 at a simple interest rate of 2% per year.

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what is the difference between 1/2 and 1/2%

Answers

Answer:

1/2 is half a number while 1/2% means 50%

8(m + 4) as a equilalent expression

Answers

Hence, the  equivalent expression  of 8(m + 4) is 8 m + 32.

What is the expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

What is the equivalent expression?

Two  expressions are equivalent  if they can be simplified to the same  third expression or if one of the expressions can be written like the other. In  addition, you can also determine if two expressions are equivalent when values are substituted in for  the variable and both arrive at the same answer.

we  know  that,  the  distributive  property of multiplication over addition,

that  is  a(b + c) = ab + ac.

So, apply  this  property in  8(m + 4),

than we get:

8(m + 4) = 8 m + 8(4)

8(m + 4) = 8 m + 32

Therefore,  the  equivalent  expression  for 8(m + 4) is 8 m + 32.

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The exponential function P(x)

undergoes a transformation in the following graph.


The preimage of the transformation is labeled P(x),

and the image is labeled I(x).

Answers

The statements that correctly describe this transformation include the following:

B. the y-intercept changes from (0, -3) to (0, 3).

D. the x-intercept is not affected by the transformation.

E. the function is reflected in the x-axis.

G. I(x) = -P(x).

What is a transformation?

In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.

In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

y-intercept = (0, -3)   →  y-intercept' = (0, -(-3)) = (0, 3).

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DUE FRIDAY PLEASE HELP !!!!

Answers

Answer:

The same line.

Step-by-step explanation:

We have to decide whether the lines are perpendicular, neither parallel nor perpendicular, parallel, or the same line. We can check if a line is perpendicular by finding the slope. The line is perpendicular if the slope of one line is the negative reciprocal of the second line.

Let's try to solve for the Y-intercept (where X = 0) of both of these functions.

y + 3x = -4

y + 3(0) = -4

y + 0 = -4

:. y = -4

And now the other one:

y = -3x-4

y = -3(0) - 4

:. y = -4

Since y = -4 in both cases, well, now we have our answer. The answer is it's the same line, so the fourth answer is correct. All the other ones - perpendicular, neither parallel nor perpendicular, and parallel - are incorrect by process of elimination. We don't actually have to keep going from here. But we can (although I won't).

PLEASEEEE HELP ME I NEEEED AN EXPERT TO DO THIS ):

Answers

Answer: B

Step-by-step explanation:

Answer:

The answer is B) -35.16 grams per half-life cycle

A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.

Which graphical representation would be best for his data?

Stem-and-leaf plot
Histogram
Circle graph
Box plot

Answers

Answer:

A circle graph would be appropriate here.

Question 11 (Multiple Choice Worth 5 points)
(Multi-Step Linear Equations MC)
Determine the value of x in the equation.
Infinite solutions
O No solution
Ox= 1
Ox= 3

Answers

As a result, the value of x in the equation is zero. option b is correct no solution.

How to solve the multi-step linear equation?

To find x, we will first simplify both sides of the equation by spreading the coefficients as follows:

5/7 * (x + 2) - 3/7x = 2/7(x + 5)

5/7x + 10/7 - 3/7x = 2/7x + 10/7

Then, on each side of the equation, we'll combine like terms:

(5/7x - 3/7x - 2/7x) + 10/7 = 10/7

To simplify the coefficients even further, we have:

(10/7x) + 10/7 = 10/7

Subtraction of 10/7 from either side:

10/7x = 0

Finally, by multiplying both sides by the reciprocal of 10/7, we may find x:

x = 0 * 7/10

x = 0

As a result, the value of x in the equation is zero. option b is correct no solution.

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Find the length of the third side. If necessary, round to the nearest tenth.
13
12

Answers

Answer:

17.7

Step-by-step explanation:

using the pythagorean theorem, plug in and solve.

hi

with Pythagoras we have :

13²+12² = 313

so answer is [tex]\sqrt{313}[/tex] ≈ 17.7  rounded.

please explain your answer to the question in a step-by-step manner please.

Answers

The answer is D

its diagonals are perpendicular

the results of a survey show that 40$ of 300 students choose Recycling as the top priority or their generation? how many students choose recycling?

Answers

the answer is 120 students
Other Questions
Identify at least six methods the President was accused of using to cover up the June 17, 1972 break-in at Watergate. What Egyptian trade routes were easier to follow and why? A 3.7 kg block is being pulled up a rough incline, where = 21 and k= 0.17, with an acceleration of 0.3 m/s/s. What is the magnitude of the Tension force pulling the block up the incline? Presence of the contamination Fusarium results in what unpleasant consequence? How do Benzos work?antipsychotic drugs?antidepressants? Which sentence best states a difference between the article and the lecture?A. The article examines court opinion about the green belt movements while the lecture is an overview of Mathai's life.B. The articles make general statement about Mathai, while the lecture specific projects imitated by the green belt movements.C. the articles discusses details about the green belt movements in over of importance, while the lecture divides information Mathi by topicD. The articles describes how Mathai become influential, while the lecture provides a participants of green belt movements. For the following economy, find autonomous expenditure, the multiplier, short-run equilibrium output, and the output gap. By how much would autonomous expenditure have to change to eliminate the output gap? C = 6e + 0.75 (Y-T) IP 200 G=240 NX 60 T= 100Y = 4,200 Instructions: Enter your responses as absolute numbers Autonomous expenditure = References=Multiplier Short-run equilibrium output =There is (Click to select) output gap in the amount of ......... Autonomous expenditure would need to (Click to select) by ..... to eliminate the output gap illustrations used to clarify and/or dramatize facts that can also be used to reach a conclusion are? In the reaction N2 + 3H2 2NH3, the rate of formation of ammonia at a given moment is0.060 mol/s. What is the rate of reaction of hydrogen gas at the same moment?A) -0.060 mol/sB) 0.090 mol/sC) -0.090 mol/sD) 0.040 mol/sE) -0.040 mol/s A scientist who unearths artifacts to learn about the lives of early peoples describe the product strategy for a fried chicken company? Uses 8 as its base Supports values from 0 to 7 Octal digits can be represented with only three bits UNIX permissions Owner permissions (rwx) Group permissions (rwx) Other permissions (rwx) Setting permission (rwxrwxrwx) means they all haveread, write, and execute permissions Cell fluid is made of water with other substances dissolved into it. When a cucumber slice is placed into 100% pure water, which way will the water immediately begin to move?A.out of the cucumber cellsB.into the cucumber cellsC.water will move in and out equallyD.water will not move What is it about feeling good that leads us to take shortcuts to persuasion rather than the more effortful central route?1. a positive emotional state is cognitively distracting, distracting from thinking critically2. assuming all is well and let down their guard3. they become motivated to savor the moment and maintain their happy mood rather than spoil it by thinking critically about new information To maintain life, men need about _____ pounds of body fat for every 100 pounds of total body weight. This is called essential body fat. Explain how sensory information is conveyed from sensory neurons to the CNS, including the role of gated ion channels and how a sensory stimulus is translated into an action potential. Explain the function of sensory amplification and adaptation, how intensity of sensation is coded, and how sensations are differentiated among by an animal (i.e., how does it "know" its skin is hot, dry, painful?) Distinguish among mechanoreceptors, chemoreceptors, electromagnetic receptors, nociceptors, and thermoreceptors. Explain how sound waves in the environment lead to production of action potentials in the inner ear and how different sound frequencies are detected and distinguished in terrestrial vertebrates. Compare and contrast this to hearing in aquatic animals. Compare and contrast how body position and movement are detected in terrestrial and aquatic animals. 3) A friend's parents are opening a new fitness centre in your area. Theyask you for help in producing a web page to advertise it to Chinese-speaking visitors.You could mention: Some details about the fitness centre What sort of people should use it What makes it different from other fitness centres What healthy eating options are available in the restaurant What to do if you want to use the facilities. By how much would a windmill power increase in [%] if the wind speed increased 3%?a. 33 b. 9 c. 13 d. 5 e. 21 PLEASE IM BEGGING GET THIS RIGHT. RIGHT ANSWER GETS 30 POINTS AND BRAINLIEST. THIS IS DUE IN 5 MINUTES Solve for x: 6x1/4(4x+8)>12