-x+5-7y-3y-5+3 combining like terms

Answers

Answer 1

-x - 10y +3 after grouping related terms and adding their respective coefficients.

what is coefficients ?

A polynomial, a set, or the quadratic coefficient of a specific term in an equation are almost all examples of coefficients in algebra. Usually numeric, but any phrase is acceptable. If the correlates are variables, them can also be referred to as "specifications" by themselves. A coefficient is calculated multiplied by a component. Examples of ratios include: In the expression 14c 14c 14c, the coefficient is 14. Word g has to have a coefficient of 1, which doubles the element by this figure. example A coefficient is 6 becuase "z" is a variable and the definition of the word is 6z. The square that x's coefficient is one.

given

-x+5-7y-3y-5+3

We add the coefficients of like phrases after combing them.

-x - 7y -3y +3

= -x - 10y +3

-x - 10y +3 after grouping related terms and adding their respective coefficients.

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Related Questions

what is 375 in inches?

Answers

Standard conversions state that 375 cm is equivalent to 147.6 inches.

A fixed magnitude of a quantity that serves as a reference point for measuring other quantities of the same sort is referred to as a unit of measurement. Convention or legislation establish and adopt it. Every other amount of that sort can be expressed as a multiple of the unit of measurement.

One inch is 2.54 cm long.

We can compose,

2.54 cm equals one inch.

1 cm equals 0.54"

Thus, 375 cm will be equal to 375/2.54 inch.

175 cm = 147.6 in.

So, 375 cm equals 147.6 inches in inches.

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Complete question - what is 375cm in inches?

Julie attaches an extension cord that is 2 6/8 yards long to a cord that is 2 3/8 yards long. How long are the two cords together? Select all the correct ways to find the sum

Answers

The required two cords together is 5 1/8 yards long, as of the given condition.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
We can add the two cords together in different ways:

2 6/8 yards = 22/8 yards

2 3/8 yards = 19/8 yards

Total length in eighths of a yard: 22/8 + 19/8 = 41/8 yards

Simplifying 41/8 yields 5 1/8 yards.

So the two cords together are either 4 19/36 yards or 5 1/8 yards long.

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explain the Alternate Exterior Angles Theorem

Answers

The Alternate Exterior Angles Theorem states that when a pair of parallel lines is intersected by a transversal, the pairs of alternate exterior angles formed on opposite sides of the transversal are congruent.

If line AB and line CD are parallel, and line EF intersects both lines at points G and H respectively, then the angles formed on opposite sides of line EF and on the exterior of the parallel lines are congruent.

The Alternate Exterior Angles Theorem states that when a pair of parallel lines is intersected by a transversal, the pairs of alternate exterior angles formed on opposite sides of the transversal are congruent.

In symbols, the theorem can be written as:

∠1 ≅ ∠4

where ∠1 and ∠4 are alternate exterior angles.

This theorem is useful in solving problems involving angles and parallel lines, and it is commonly used in geometry proofs.

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what is measured by the numerator of the z-score test statistic?

Answers

The actual distance between M and μ is measured by the numerator of the z-score test statistic.

The distribution of the z-score test is normally distributed under the null hypothesis, making it a statistical test. The mean is tested for a known standard deviation using this method. The z score (z), which is determined by the following equation, is the difference between the sample mean and the population mean in units of standard error. The distribution of the z-score test is normally distributed under the null hypothesis, making it a statistical test. The mean is tested for a known standard deviation using this method. The z score (z), which is determined by the following equation, is the difference between the sample mean and the population mean in units of standard error. The equation is z = M - μ / σ/√n, where n is the number of samples in the population, is the mean, o is the standard deviation, and σ/√n is the standard error. The sample mean's (μ) distance from the population mean serves as the z score's numerator (M).

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how to convert 1ml to cc?

Answers

One milliliter is equal to one cubic centimeter

To convert 1 milliliter to cubic centimeter , we can use the following formula:

1 mm = 1 cc

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The volume in cc = Conversion factor × The volume in ml

Substitute the values in the equation

The volume in cc = 1 × 1

Multiply the terms

= 1 cc

Therefore, one ml is 1 cc

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given f(x)= -x^2+2x+6, find f(-7)

Answers

The value of f(-7) in the given function, f(x) = -x^2 + 2x + 6, is -57

Determining the value of a given function

From the question, we are to determine the value of f(-7) in the given function

The given function is

f(x) = -x^2 + 2x + 6

To find the value of f(-7) in the given function,

We will substitute -7 for x in the expression for f(x) and evaluate the resulting expression

That is,

f(x) = -x^2 + 2x + 6

f(-7) = -(-7)^2 + 2(-7) + 6

Simplifying this expression gives:

f(-7) = -49 - 14 + 6

f(-7)= -57

Hence, the value of f(-7) is -57

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Find the product of (3 x 107)and (2 x 107). Write the final answer in scientific notation. !!!!!!!!!!!!!!!!!!!

Answers

The product of (3 x 107) and (2 x 107) is 6.8694 x 10^4

To find the product of (3 x 107)and (2 x 107), we can use the distributive property of multiplication which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, we can multiply the numbers outside the parentheses first, and then multiply the result by the common factor of 107 to simplify the expression:

(3 x 107) x (2 x 107) = 6 x (107 x 107)

Next, we can calculate the product of 107 and 107, which is 11,449:

6 x 11,449 = 68,694

In scientific notation, this can be written as:

= 6.8694 x 10^4

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An angle measures 176.2° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

The angles are 178.1° and 1.9°

Step-by-step explanation:

Supplementary angles add up to 180°
Let the angles be x and y with x being the larger angle

x = 176.2 + y
x - y = 176.2         (1)

Since they add up to 180 we also get
x + y = 180           (2)

Equations added: (1) + (2)

x - y + x + y = 176.2 + 180

2x = 356.2

x =  356.2/2 = 178.1°

y = 180 - 178.1 = 1.9°

The sum of 6 and a number is 5 less than fourty

Answers

Answer: 29

Step-by-step explanation:

40 - 5 = 35

35 - 6 = 29

So, 29 + 6 = 5 less than 40

Answer: The number is 29 and the Sum is 35

Step-by-step explanation:

How you set up the equation 6+x = 40-5

Subtract 5 from 40 and you get 6+x = 35

Now subtract 6 from 35 to find your missing variable x = 35-6

x = 29

I know the answer but i can't explain it please help this all my points will give BRAINLEST

Answers

The picture and the board are not mathematically similar because they have different areas when calculate which are = 80cm² and 120cm² respectively.

How to show that the picture and the board are not mathematically similar?

The dimensions of the picture is as follows;

The length = 8cm

The width = 10cm

The area of the picture = 8×10 = 80cm²

The dimensions of the board is as follows;

The length = 10cm

The width = 12cm

The area of the board = 12×10 = 120cm²

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Which of the following takes all the correlations found in studies of a particular relationship and calculates a weighted average of them?A. Human resource managementB. Resource-based viewC. Meta-analysisD. Strategic managementE. Method of intuition

Answers

Option C is correct. Meta-analysis takes all of the correlations found in studies of a particular relationship and calculates a weighted average of them.

In order to identify results on a broad scale, meta-analysis looks for common threads among various studies and applies weights to them. In essence, it expands on the numerous research that might be conducted on a certain relationship topic. For instance, one particular relationship might be investigated using various methods at various points in time. A meta-analysis attempts to compile all of these studies, assign weights to each study, and then determine the outcomes that are on a meta-level, or bigger picture, after taking into account all of the various correlations.

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Please help ASAP! Thanks

Find the equation
to the line below.

Y= __ __ /__ x

Answers

[tex]{ \qquad \qquad \huge \rm \underline{ \underline{ \Répondre}}} [/tex]

lets find the equation of line in two point form, considering points (0 , 0) and (-3 , 4)

[tex]\qquad \rm\dashrightarrow \:y - 0= \dfrac{4 - 0}{ - 3 - 0} (x -0)[/tex]

[tex]\qquad \rm\dashrightarrow \:y = - \dfrac{4 }{ 3 } x [/tex]

That's the required equation ~

You can also simply it as :

[tex]\qquad \rm\dashrightarrow \:3y= - 4x[/tex]

[tex]\qquad \rm\dashrightarrow \:4x + 3y = 0[/tex]

Suppose your home is located at (0, 0) on a coordinate plane. The school is located 2 miles south of your home. The mall is located 5 miles west of the
school. What is the shortest distance, in miles, between your home and the mall? Round to the nearest hundredth.

Answers

Answer: Use the Pythagoream theorem: a²+ b² = c²

Step-by-step explanation: note that c = the hypotenuse

2² + 5² = c²

Simplify

4 + 25 = c^2

Combine like terms

29 = c^2

isolate the c. Root both sides

√29 = c

c = 5.38516481

5.39 is your answer

The shortest distance is 5.39 miles  between your home and the mall

What is Distance?

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

The distance from your home to the school is 2 miles south, which means the y-coordinate of the school is -2.

The mall is located 5 miles west of the school, which means the x-coordinate of the mall is -5.

So, we have two points on the coordinate plane: your home at (0, 0) and the mall at (-5, -2).

The distance between them can be found using the distance formula:

Distance=√(x₂-x₁)²+(y₂-y₁)²

=Distance=√(-5-0)²+(-2-0)²

=√25+4

=√29

=5.39 units

Hence,  the shortest distance is 5.39 units

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Using these requilements, do you néed to file a tax return this year? Why
or why not?

Answers

In general, whether or not an individual needs to file a tax return depends on a number of factors, including income, filing status, and age.

Why you should file your tax return

In the United States, for example, the IRS sets income thresholds each year, and individuals whose income exceeds these thresholds are generally required to file a tax return.

However, there are many exemptions and exceptions to this general rule, and individuals should consult the IRS website or a tax professional for more information specific to their situation.

Other countries may have different rules and requirements for filing tax returns, so it's important to check with the tax authority in your own country for specific guidance.

P.S Your question is incomplete, so I gave you a general overview to help you better understand filing tax returns.

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y=100(0.5)^x growth or decay

Answers

Answer: Decay

Step-by-step explanation:

At noon, a ship leaves a harbor and sails south at 10 knots. Two hours later, a second ship leaves the harbor and sails east at 20 knots. When will the ships be 300 nautical miles apart? Round to the nearest minute. Note that 1 knot = 1 nautical mile per hour.

The ships will be nautical miles apart at approximately
.

Answers

Answer:

The speed of the first ship= 30 knots The speed of the second ship= 20 knots The first ship started at noon and after three hours second ship started. The direction of the first ship is along South and that of second ship is East.

Step-by-step explanation:

how do i find the side lengths?

Answers

Answer:

a, d=90 degre

and b, b=90degree

need help asap.

An investment portfolio is shown below.
Investment Amount Invested ROR
Savings Account $2,600 1.7%
Municipal Bond $3,700 3.2%
Preferred Stock $575 12.9%
Common Stock A $1,225 −5.6%


Using technology, calculate the weighted average ROR of the investments. Round to the nearest tenth of a percent.

Answers

The weighted average ROR of the investments, based on the provided investment portfolio, would be 2.1%.

How is a weighted average determined?

By multiplying each data point by its weight and adding the resulting products, the weighted average is calculated. The weights for all the data points are then added. Divide the weight*value products by the total weights to finish. You've successfully determined the weighted mean.

Find the overall portfolio value first:

= 2,600 + 3,700 + 575 + 1,225

= $8,100

The investments' weighted average Rate of Return (ROR) is:

= (2,600 / 8,100 x 1.7%) + (3,700 / 8,100 x 3.2%) + (575 / 8,100 x 12.9%) + (1,225 / 8,100 x -5.6%)

= 2.076

= 2.1%.

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yuson thinks the design she made is symmetric across the dashed line she drew. How can she use coordinates to show that her design is symmetric?

Answers

She can compare the original design with its reflection by plotting both designs on the same graph. If the two designs are identical, then the design is symmetric across the x-axis.

How to show if her design is symmetric

To show that a design is symmetric across a line using coordinates, you can use the following steps:

Choose the equation of the line that the design is supposed to be symmetric across. Let's assume that the line is the x-axis and it is represented by the equation y = 0.

Identify the coordinates of each point in the design. For example, if a point is located at (2, 4), its x-coordinate is 2 and its y-coordinate is 4.

Reflect each point in the design across the line of symmetry by changing the sign of its y-coordinate. For example, if a point is located at (2, 4), its reflection across the x-axis is located at (2, -4).

Compare the original design with its reflection across the line of symmetry. If the reflected design is identical to the original design, then the design is symmetric across the line.

Here's an example of how to use coordinates to show that a design is symmetric across the x-axis:

Suppose Yuson has a design with three points: A(2, 4), B(4, 6), and C(6, 4), and she drew a dashed line along the x-axis to represent the line of symmetry.

To check if the design is symmetric across the x-axis, she can reflect each point across the x-axis to obtain the following new coordinates: A'(2, -4), B'(4, -6), and C'(6, -4).

She can then compare the original design with its reflection by plotting both designs on the same graph. If the two designs are identical, then the design is symmetric across the x-axis.

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What is the conversion of 184 cm to feet ?

Answers

The conversion of 184 centimetres in feet is equals to the 6.03 feet. Thus, conversion factor from centimetres to feet is 6.03/184 = 0.032.

A conversion factor is a number used to convert one set of units into another set of units by multiplication or division. If conversion is necessary, a conversion factor suitable for equivalent value must be used. For example, to convert meters to centimetres, the appropriate conversion value is 100 centimetres equal 1 meter. It includes converting a value from inches to millimeters, for distance from miles to kilometers, feet or other units. How to convert centimeters to feet : One meter is a measure of length and equals approximately 3.28 feet. Thus conversion factor is 3.28 feet. So, 184meters

= 184× 3.28 feet

= 603.52 feet --(1)

But we need to convert 184 centimeters to feet. So, change meters to centimeters. As you know, 1 meter = 100 centimeters, so 184 meters = 18400 centimeters --(2). Now from equations (1) and (2),

18400 centimeters = 603.52 feet,

Divide both parts by 100,

=> 184 centimetres = (603.52/100 ) feet

= 6.03 feet

Hence required value is 6.03 feet.

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(75 POINTS)answer both these questions please

Answers

Answer to the first picture is 16j^8p^3/3

Answer to the second picture is - u^9/2


5 cm
4cm
tºc
Use trigonometric ratios

Answers

The trigonometric ratios are presented in this answer.

What are the trigonometric ratios?

The three trigonometric ratios are defined as follows:

Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the adjacent side.

The hypotenuse is the slanted segment connecting the horizontal segment and the vertical segment.

The adjacent side to an angle x is the side length between the angle x and the angle of 90º.

The opposite side to an angle x is the side length between the angle 90 - x and the angle of 90º.

Missing Information

The problem is incomplete, hence the important concepts of trigonometric ratios were presented.

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How to convert 95kg in lbs?

Answers

95 kg is approximately equal to 209.4390 pounds ( rounded to four decimal places )

The conversion factor to convert kg to lbs is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in lbs = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

95 kg = 95 × 2.20462

Multiply the numbers

= 209.4390 pounds  ( rounded to four decimal places )

Therefore, 95 kg is 209.4390 pounds

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Your checking account has a constant balance of $500. Let the function m represent the balance of your savings account after t years. The table shows the total balance of the accounts over time.

Answers

This equation can be used to predict the balance of the savings account after t years.

What is equation?

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


We can graph the data in a line graph to visualize the relationship between the two variables. The graph will have time (t) represented on the x-axis and the balance of the savings account (m) represented on the y-axis. The graph will demonstrate that the total balance of the two accounts increases over time.

The equation that models this data can be found by using the slope-intercept form, y = mx + b. Here, y represents the balance of the savings account (m), x represents the time (t), m is the slope of the line, and b is the y-intercept. To find the equation, we can first find the slope, which is the change in y divided by the change in x. This is (2,800 - 500) / (3 - 0) = 2,300 / 3 = 766.67. The y-intercept is the balance of the savings account when t = 0, which is 500. We can now write the equation as m = 766.67x + 500. This equation can be used to predict the balance of the savings account after t years.

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A diagram of Joe's living room wall with a geometric design is shown. Joe painted the shaded triangle on the living room wall. What is the area in square feet of the shaded triangle that Joe painted?

Answers

Answer: the answer is 48

Step-by-step explanation:

Answer: 48

Step-by-step explanation: A triangles formula is base x height divided by 2, therefore we will do first 8 x 12 which equals 96, and divide by 2, giving us 48.

What is the conversion of 45 f to c ?

Answers

The converted value using standard formula from Fahrenheit to Celsius is equal to 45 Fahrenheit to 7.22222 degrees Celsius.

Fahrenheit and Celsius represents the units which needs to measure the temperature in Standard form .

Standard formula which relates Fahrenheit and Celsius using the standard formula as mentioned below:

(°F − 32) × 5/9 = °C

We have to Substitute the value 45 Fahrenheit in the above mentioned Standard formula of the temperature to get into degrees Celsius ,

= ( 45°F − 32) × 5/9

= 13 × 5/9

= 65 / 9

= 7.22222 degrees Celsius

Therefore, the conversion value of 45 Fahrenheit into the Celsius is written as 7.22222 degrees Celsius .

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Select the correct answer.

Find the quotient of

O A.

B.

O c.

(5+21) (6-4)

(2+1)

36-38

36 +38

68-54

D. 68 +5

and express it in the simplest form.

Reset

Next

Answers

The quotient of (5+21) (6-4) and (2+1) is 13/3, expressed in its simplest form

The quotient of two numbers is a way of expressing the ratio of their values. It is the result of dividing one number by the other, and can be written as a fraction or as a decimal.

The quotient of 4 and 8 is 0.5, since 4 divided by 8 is 0.5.

The quotient of (5+21) (6-4) and (2+1) can be expressed as follows:

First, we need to solve each parenthesis separately. The first parenthesis is (5+21), which equals 26. The second parenthesis is (6-4), which equals 2. Therefore, the quotient of (5+21) (6-4) is 26/2, which can be simplified to 13/1.

Now, we need to divide 26/2 by (2+1). The result is 13/3, which is the final quotient.

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What is the conversion of 21 km to miles ?

Answers

The conversion of 21 km to miles is 13.04848 miles.

Kilometer (km) and mile are both units of measurement used to express distance or length.

Kilometer is a metric unit of distance commonly used in the International System of Units (SI) and is equal to 1000 meters.

To convert 21 kilometers (km) to miles, we can use the conversion factor of 1 km = 0.621371192 miles.

So, we can multiply 21 km by 0.621371192 miles/km to get the equivalent distance in miles:

21 km × 0.621371192 miles/km = 13.04848 miles (rounded to five decimal places)

Therefore, 21 km is approximately equal to 13.04848 miles.

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PLEASE HELP ME!! Match the radius and height from each cylinder on the left with its surface area on the right.

Answers

The surface area for the given radius and height are For r = 5 and h = 2: TSA = 2π(5)(5+2) = 2π(5)(7) = 70π sq.cm. For r = 9 and h = 11: TSA = 2π(9)(20) = 360π sq. cm.

What is surface area of cylinder?

The entire area a cylinder occupies in three dimensions is known as the cylinder's area. The combined areas of the two circular bases and the curving surface make up the cylinder's surface area. In right cylinders, the axis line creates a right angle to the base, and the two circular bases are perfectly over one another. It is referred to as an oblique cylinder if one of the circular bases is misaligned and the axis does not make a right angle with the base.

The curving surface that sits in the center of the two circular bases opens to reveal a rectangular shape. A lateral surface is another name for this curved surface.

The total surface area of the cylinder is given by the formula:

TSA = 2πr(r + h)

For r = 5 and h = 2:

TSA = 2π(5)(5+2) = 2π(5)(7) = 70π sq.cm

For r = 9 and h = 11:

TSA = 2π(9)(20) = 360π sq. cm

For r = 9 and h = 8:

TSA = 2π(9)(17) = 306π sq. cm

For r = 4 and h = 7:

TSA = 2π(4)(11) = 88π sq. cm

For r = 6 and h = 5:

TSA = 2π(6)(11) = 132π sq. cm.

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Classify the following triangle. Check all that apply.
A. Equilateral
B. Isosceles
C. Acute
D. Right
E. Scalene
F. Obtuse

Answers

Right,scalene is the answer to this question
Other Questions
the prolonged effects of stress can result in____.(a) a psychosomatic illness(b) a serious loss of health(c) complete collapse(d) all of these. Need help and answer Which part of SBIRT involves a 5-15 minute, patient-centered conversation? a. Referral to Treatment b. Intercommunions c. Brief Intervention d. Screening. What does this quote mean?Infancy conforms to nobody: all conform to it, so that one babe commonly makes four or five out of the adults who prattle and play to it Why cellulose is synthesized on plasma membrane but hemicellulose and pectin is synthesized at Golgi complex? Can someone help me do a Blackout poem out of this? Okay, Elizabeth said. Well stop as soon as we can find a place. And well go as far as we can each day, all right? Fine with me, I said. The sooner we got there, the sooner my plan could begin. But for now I was tired of the car, and tired of Elizabeth. And I was worried and confused, too - About her feelings about him, and about the real reasons why we were doing this, and about weather of not she was right about him being difficult. I figured that if I worked at it, I could probably get him to like me. But if he really was that difficult Anyway, I was worried. I guess having been out half the night didnt improve my mood any. Tobys tired, I said. Hes had enough of one day, havent you, Toby? I took his little head between my hands. Right? I said to him. As if in answer, there was rumbling sound from deep inside him, and he let out his awful smell. Toby! I said, laughing, and I waved my hands in front of my face. Oh, gross! Elizabeth said. She rolled down her window, and cold air rushed in. Told you hed had enough of the car for today, I said. And as if to prove that I was right, Toby leaned away from me and over against Elizabeth, his head sort of lolling in her lap. And then, very neatly, he threw up. The rate constant at 325C for the decomposition reaction C4H8 2 C2H4 is 6.1108s^1, and the activation energy is 261 kJ per mole of C4H8. Determine the frequency factor for the reaction. according to nuer belief, what causes illness? the austrian prince who embodied conservatism and was the chief architect of the vienna settlement How did the appearance of the smallest creatures, such as the microbes and bacteria, in earth's early history impact the geosphere?. How did Buddhism rise from the teachings of one man to a powerful world religion? Why are polls important during elections? The diagram below shows the path of a planet around a star.At which point does the planet have the least gravitational force acting on it?A. Point D B. Point AC. Point BD. Point C what character did cody longo play on days of our lives this type of depreciation is described by the physical deterioration of a property...? How did Gideon v. Wainwright impact on the decisions of the courts, the public defender system, and the newly established right to counsel? Which phrase is not an example of intercellular communication?A. ribosomes make proteinB. intercellularC. a vesicle encloses over a nutrient moleculeD. plasmodesmata Use the following table to answer the question:This table shows the codons found in messenger RNA. Using this information, what sequence of nucleotides in the template strand of DNA could code for the polypeptide sequence Phe-Ser-Gln? 3' UUC-UCU-CAA 5' 3' AAG-AGA-GTT 5' 3' TTC-TCT-CAA 5' 3' AAG-AGA-GUU 5'the answer is 3' AAG-AGA-GTT 5' :) pre islamic arabia social studies 6th grade Read the question and study the image from "Sugar Changed The World."The first European boat reached Brazil in 1500it was an accident. Pedro Cabral was trying to sail around Africa to Asia to buy spices for his native Portugal, and the ocean current took him to Brazil instead. That same strong current made it easy to bring slaves across the Atlantic to Brazil, and over the next four hundred years some three million Africans were taken to Brazil. This map shows the location of South America and Africa. Which statement best explains how the map supports the text? A. The map shows the regular route taken by a plantation owner sailing to Africa.B. The map shows the regular route taken by a person who enslaved people.C. The map shows the route of Columbus's voyage.D. The map shows the route of Pedro Cabral's voyage.