Which of the following equations are first-order, second-order, linear, non-linear? (No ex- Slanation needed.) 12x³y- 7ry' = 4e* y 17x³y=-y²x³ dy -3y = 5y³ +6 da +(z + sin

Answers

Answer 1

The first equation is a first-order nonlinear equation, the second equation is a second-order linear equation, and the third equation is a first-order nonlinear equation.

1. Equation: 12x³y - 7ry' = 4e^y

  This equation is a first-order nonlinear equation because it contains the product of the dependent variable y and its derivative y'. Additionally, the presence of the exponential function e^y makes it nonlinear.

2. Equation: 17x³y = -y²x³ dy

  This equation is a second-order linear equation. Although it may appear nonlinear due to the presence of y², it is actually linear because the highest power of the dependent variable and its derivatives is 1. It can be rewritten in the form of a linear second-order differential equation: x³y + y²x³ dy = 0.

3. Equation: -3y = 5y³ + 6da + (z + sinθ)

  This equation is a first-order nonlinear equation. It contains both the dependent variable y and its derivative da, making it first-order. The presence of the nonlinear term 5y³ and the trigonometric function sinθ further confirms its nonlinearity.

To summarize, the first equation is a first-order nonlinear equation, the second equation is a second-order linear equation, and the third equation is a first-order nonlinear equation.

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Related Questions

helpp!!! i don't understand this

helpp!!! i don't understand this

Answers

two right angles is 90+90=180°. the inside angles of a polygon always add up to 360°, so the other four angles add to 360°-180°=180°. 180/4 is 45. since all of the "x" angles are the same, x=45°

Help pls I don’t understand WILL GIVE BRAINLIEST FOR FIRST ANSWER

Help pls I dont understand WILL GIVE BRAINLIEST FOR FIRST ANSWER

Answers

Step-by-step explanation:

sin if -7.2 = -0.79 approximately -0.8

Hope you understand and hope this helps.

Good luck ✅.

Help pls I dont understand WILL GIVE BRAINLIEST FOR FIRST ANSWER

Sydney purchases a new car for $27,500. The value of the car decreases at rate of 15% each year. In approximately will the $1,254?

Answers

Answer:

Time taken n = 19 years (Approx)

Step-by-step explanation:

Given:

Amount of car P = $27,500

Decrease rate r = 15% = 0.15

Final amount A = $1,254

Find:

Time taken n

Computation:

A = P[1-r]ⁿ

1,254 = 27,500[1-0.15]ⁿ

0.0456 = [0.85]ⁿ

Time taken n = 19 years (Approx)

Answer: 5 years

Step-by-step explanation:

the region bounded by and is rotated about the line . using cylindrical shells, set up an integral for the volume of the resulting solid. the limits of integration are:

Answers

The volume generated by revolving this region around line x = 3 is 135/2 cubic unit.

Now,

y = 9−x² is an inverted parabola with vertex at  (0,9)

It cuts positive x- axis at  x = 3

In the region enclosed is rotated about  x = 3

Considering the cut with a plane perpendicular to the y axis, we obtain a circular ring with interior radius 3−x and exterior radius 3.

Its area is \(\pi (3^2(3-x)^2)\)  

Consider a disk of this area and this height dy. The sum of the volume of all these slices from y = 0 to y = 9 gives the desired volume. The summation is performed by integration.  

   \(V=\int\limits^9_0 {\pi (3^2(3-x)^2)} \, dx\)                    

and, y = 9-x²

⇒ dy = -2xdx, where the limits are from 0 to 9.

Now,

   \(V=\int\limits^9_0 {\pi (3^2(3-x)^2)} \, (-2xdx)\)

⇒ \(\pi (4x^3-\frac{x^4}{2}\) )  limits are from 0 to 3

⇒ \(\pi (4.3^3-\frac{3^4}{2})\)

= 135/2 cubic unit.

Complete Question:

Consider the region enclosed by the curves y = 9 − x 2 , x = 0, y = 0 in first quadrant. What is the volume generated by revolving this region around line x = 3?

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Zane's cats love tuna fish, so he always mixes a little into their food at dinnertime. For his small cat, he adds 2 ounces of tuna fish to 10 ounces of cat food. For his large cat, he adds 3 ounces of tuna fish to 12 ounces of cat food. Which cat's meal tastes more like tuna fish?

Answers

Large cat's meal tastes more like tuna fish

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

Zane's cat loves tuna fish

so he adds 2 ounces of tuna fish to 10 ounces of cat food for small cat

and he adds 3 ounces of tuna fish to 12 ounces of cat food for large cat

to know whose meal tastes as tuna fish calculate their percentages

for small cat 2% is added to 10%

that means (2/12)*100=16.6

for large cat 3% is added to 12%

that means (3/15)*100=20

by this we can conclude that, large cat's meal tastes more like tuna fish

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Please help ASAP it’s a alrightveasy question

Please help ASAP its a alrightveasy question

Answers

Answer:

57 here ahgy allsoe fhal

Answer:

1330.5

Step-by-step explanation:

The equation for volume of a cylinder is:

\(V=r^{2} h\)

Now, we have to input our values

\(V = 5.5^{2} (14)\)

And solve!

\(5.5^{2} = 30.25\)

30.25 × 14 = 1330.46

Finally we have to round to the 1 decimal place

1330.46 = 1330.5

(Wondering why I used 5.5 instead of 11 for the radius? Well, the radius of a circle/cylinder is from the center point to the end so 11/2 = 5.5)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

URGENT, pls answerr!!

URGENT, pls answerr!!

Answers

Answer:

15/16

Step-by-step explanation:

In a dice, there are 3 even and 3 odd numbers.

So, to calculate the required probability, we will have to calculate the probability of getting an odd number in all of them.

Probability of getting odd number in 1 dice = 3/6 = 1/2

Probability of getting odd number in 4 dice =

1/2 x 1/2 x 1/2 x 1/2 = 1/16

Therefore, probability of getting atleast one even number is 1 - 1/16 = 15/16

15/16 is the answer.

Pls mark as brainliest. Cheers

Find the area of quadrilateral ABCD and RST.

Find the area of quadrilateral ABCD and RST.

Answers

Answer:

ABCD is 6 units 2×3=6

im not really sure about RST but i think it would be 4 or 5 units because it just looks like there is about that many inside.

We can see here that the area of quadrilateral ABCD = 12 units².

While the area for triangle RST = 5 units².

What is quadrilateral ?

A quadrilateral is a polygon with four sides, four vertices, and four angles. The word "quadrilateral" is derived from the Latin words "quadri" (meaning "four") and "latus" (meaning "side"). Quadrilaterals are classified based on the lengths of their sides, the measures of their angles, and other specific properties.

Area of the parallelogram ABCD = B × H = 3 units × 4 units = 12 units².

Area of the triangle RST = 1/2bh = 1/2 × 5 units × 2 units = 1/2 × 10 units = 10/2 units = 5 units².

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calculate the value of 1/3 a = -5

Answers

Answer:

- 15

Step-by-step explanation:

\( \frac{1}{3} a = - 5 \\ \\ a = - 5 \times 3 \\ \\ a = - 15\)

Answer:

-15

Step-by-step explanation:

As you can see, the denominator of 1/3 is 3. 1 third of a is -5. So what you do is, you multiply -5 * 3 and that'll give you -15. So, it is equal to -15.

(4 points) 1. Suppose \( f(x) \) is a quadratic function with zeros at \( x=3,9 \) and goes through the point \( (1,32 \) ). Write the equation for this function. \[ f(x)= \] 2. Suppose \( f(x) \) is

Answers

Given the quadratic function has zeros at `x = 3` and `x = 9`, we can write the function in factored form as:\(\[f(x) = a(x - 3)(x - 9)\]\) where `a` is a constant.

Since the function goes through the point `(1, 32)`, we can use this to solve for `a`. Plugging in `\(x = 1` and `f(x) = 32`\), we get:\([32 = a(1 - 3)(1 - 9) = -16a\]  , `a = -2`.\)

Substituting this back into the factored form, we get:\(\[f(x) = -2(x - 3)(x - 9)\]\)Expanding this gives the equation for the quadratic function: \[f(x) = -2x^2 + 24x - 54\]2.

Since `f(x)` is a quadratic function, it can be written in the form: \[f(x) = ax^2 + bx + c\]We know that `f(-1) = -2`, `f(0) = -1`, and `f(1) = 0`.

Using this information, we can write three equations in terms of `a`, `b`, and `c`:\(\[a(-1)^2 + b(-1) + c = -2\]\)\\([a(0)^2 + b(0) + c = -1\]\)Simplifying each equation, \(\[f(x) = a(x - 3)(x - 9)\]\)

we get:\[a - b + c = -2\]\[c = -1\]\[a + b + c = 0\] Substituting `c = -1` into the first and third equations gives a system of two equations in two variables:\[a - b - 1 = -2 \ Rightarrow a - b = -1\]\[a + b - 1 = 0 \ Rightarrow a + b = 1\] Solving this system of equations, we get `a = 1` and `b = 0`.  

the quadratic function is:\[f(x) = x^2 - 1\]

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If 1=3
2=3
3=5
4=4
5=4
Then, 6=?

Answers

Then 6 = 7.

What is a sequence ?

"Sequence and series is one of the basic topics in Arithmetic. An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements. An arithmetic progression is one of the common examples of sequence and series.

In short, a sequence is a list of items/objects which have been arranged in a sequential way."

1 = 3

2=3

3=5 ( +2)

4=4

5=4

6= 7

7=5

8=5

9= 7

10= 6

Hence, 6 = 7 in the sequential way.

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A vet recommends using a
dog's food from 8 oz to 6 oz
per feeding. What is the
percent decrease in food per
feeding?

Answers

To find the percent decrease in food per feeding, you need to calculate the difference between the old and new amounts, divide that by the old amount, and then multiply by 100 to convert to a percentage.

The old amount was 8 ounces, and the new amount is 6 ounces.

The difference between the old and new amounts is 8 - 6 = 2.

To find the percent decrease, divide the difference by the old amount:

2/8 = 0.25

Finally, multiply by 100 to convert to a percentage:

0.25 x 100 = 25%

Therefore, the percent decrease in food per feeding is 25%.

Please help and show work, will give lots of points!

Lourdes is reading a biography for her history class. She reads 30 pages each day. After 9 days, Lourdes has read 3/5 of the biography. Write a linear equation to represent the number of pages Lourdes still has to read after x days.
y = []x + []
(Use above format to write the equation.)

What does the y-intercept of this linear equation represent?
A. Pages already read
B. Pages in book
C. Pages read each day
D. Days to finish

Answers

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

HELPPPPPPPPPP Lol thankd

HELPPPPPPPPPP Lol thankd

Answers

Answer:

6 10

Step-by-step explanation:

Answer:

6, 10

Step-by-step explanation:

The first point is on 6, and ending at 10.

please help asap!!!!

please help asap!!!!

Answers

Answer:

142 cm

Step-by-step explanation:

7*5 + 7*5 + 3*5 + 3*5 + 7*3 + 7*3

=> 35 + 35 + 15 + 15 + 21 + 21

=> 70 + 30 + 42

=> 100 + 42

=> 142

Help me plssssssssssssssssssss

Help me plssssssssssssssssssss

Answers

So basically you are to use the formula:

L x W x H


Plug the values in:

12 x 1/4 x 4/5


Now we know if we multiply 12 by 1/4 we would 3 since 12 divided by 4 is 3:

3 x 4/5


Multiply the 3 and 4 and get 12/5.


Ok, so to get one of the answers check which one SIMPLIFIES to 12/5, which in this case is 48/20 since that can be simplified by 4.


So the answer is 48/20

Can two obtuse angles be supplementary

Answers

No, two obtuse angles cannot be supplementary angles. Obtuse angles are angles that have a measure greater than 90°.

Answer:

no,

Step-by-step explanation:

two numbers have to equal 180 degrees. The biggest numbers can only be 90+90 and that is a right angle.

Find the measure of each numbered angle

Find the measure of each numbered angle

Answers

Answer:

m∠1 = 54° m∠2 = 63° m∠3 = 117°

Step-by-step explanation:

We know that 117 + m∠2 = 180°, which when calculated is equal to 63. Now, we know that 63 + 63 + m∠1 = 180°. This comes out to be 54°. Finally, we know that m∠3 has to equal 117° because they are same side interior angles.

The measure of m<1, m<2 and m<3 are 54, 63 and 63 degrees respectively

The sum of angle in a straight line is 180 degrees, hence:

m<2 + 117 = 180

m<2 = 180 - 117

m<2 = 63 degrees

For the diagram, m<2 - m<3 = 63 degrees (alternate angle.)

Also, the sum of interior angle of the triangle is 180 degrees, hence:

m<2 + m<2 + m<1 = 180

63 + 63 + m<1 = 180

126 + m<1 = 180

m<1 = 180 -126

m<1 = 54degrees

Hence the measure of m<1, m<2 and m<3 are 54, 63 and 63 degrees respectively

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I need some help with this, can someone help me?

I need some help with this, can someone help me?

Answers

Answer:

D. Paul can type 3/4 as fast as Jennifer

Step-by-step explanation:

60/80 = 3/4

Solve system of equations (no solution, one solution, or infinitely many solutions) show work.

Y=5x
2x+3y=34

Answers

Answer:

x=2 and y=10

Step-by-step explanation:

Substitute 5 x for y in 2x+3y=34

2x+3y=34

2x+35x=34

17x=34

17x/17=34/17

x=2

Substitute 2 for x in y=5x

y=5x

y=(5)(2)

y=10

x=2 and y=10

Answer: x=2

y=10

I hope tht helped ...

Step-by-step explanation:

What is wrong with the following proof that for every integer n, there is an integer k such that n < k < n+2? suppose n is an arbitrary integer. therefore k = n + 1.

Answers

The proof fails to demonstrate that there is an integer k such that n < k < n+2.

The proof you provided is incorrect. Let's analyze the statement and the proof:

Statement: For every integer n, there is an integer k such that n < k < n+2.

Proof (incorrect):

Suppose n is an arbitrary integer.

Therefore, k = n + 1.

The error in the proof lies in step 2. While it is true that k = n + 1 is an integer, it does not necessarily satisfy the condition that n < k < n+2. In fact, if we substitute k = n + 1 into the inequality, we get:

n < n + 1 < n + 2

This simplifies to:

n < n + 1 < n + 2

The inequality is not satisfied since n + 1 is not guaranteed to be less than n + 2. Therefore, the proof fails to demonstrate that there is an integer k such that n < k < n+2.

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tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues to move 1 unit east and 3 units north twelve more times, placing a pin each time. Where will the last pin be placed?

tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an

Answers

Tomas's last pin on the graph will be placed at (16, 36)

Understanding and Reading graphs:

Graphs are used In every aspect of daily life, including weather forecasts, stock market trends, and company reports. They provide data or relationships between variables in a visual manner.  

Reading both axes and comprehending what they represent is the first step. The values of the points located along the graph's lines are analyzed in the following phase.

To comprehend the trend of data changes, the rise and fall of the lines are closely watched.

Here we have

Tamas is at (3, 0) intially

He moves 1 unit toward the east and 3 units toward the north  

If we observe the pattern,

Tamas moves 1 unit to the East for each move  

Initially, he is at 3

After 1st move, he is at 4

He continued like this and moved 12 more times i.e 13 moves  

On continuing the above pattern After 13 moves, he will be at 13 +1(3) = 16  

Tamas moves 3 units to the North for each move  

Initially, he is at 0

After 1st move, he is at 3

After 2nd move, he is at 6

He continued like this and moved 12 more times i.e 13 moves  

On continuing the above pattern After 13 moves,

he will be at 13(3) = 36  

From the observation, we can conclude that

Tomas's last pin be placed at (16, 36)

Therefore,

Tomas's last pin on the graph will be placed at (16, 36)

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tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an

What’s the surface. area

Whats the surface. area

Answers

Answer:

138.61 square centimeter

(Please tell me if I'm wrong)

Two-fifths of a gallon
of deck stain covers
one quarter of a deck.
How much stain is
needed for the entire
deck?

Answers

Answer:

8 / 5

Step-by-step explanation:

Since 2/5 gallons cover 1/4 of the deck you would have to multiply 2/5 times 4 to so how much it would take to cover the whole deck so your answer is 8/5 gallons


Answer quicklyy please

Answer quicklyy please

Answers

Answer:

B

Step-by-step explanation:

Because to have the problem fully divided she would have to subtract 40 once more time to get 1 as a remainder.

Hopes This Helps :)

Help I need to find area and it’s due by 8

Help I need to find area and its due by 8

Answers

Answer:

20 1/2

Step-by-step explanation:

because area equals length times width

Answer and Step-by-step explanation:

First, let's split the figure into two common shapes that we know the area formula for.

The top shape can become a triangle, while the bottom shape can become a rectangle.

We know the area of a triangle is

\(A = \frac{bh}{2}\)

and the area of a rectangle is

A = lw

Where:

A = Area

b = Base length (length)

h = Height

l = Longer length of a side

w = Smaller length of a side

Area of a Triangle:

b = 3

h = 3

A = \(\frac{3 * 3}{2}\)

A = 4.5

Area of a Rectangle:

w = 3

l = 8

A = 3 × 8

A = 24

Now we add together the areas to get the area of the figure.

Area of the Figure:

A = 4.5 + 24

A = 28.5

The area of the figure is 28.5 \(units^{2}\).

#teamtrees #PAW (Plant And Water)

5 of 8
What single percentage change is equivalent to a 11% increase followed by a 13% increase?

Answers

Answer:

25.43

Step-by-step explanation:

Correct trust me!

When you are analyzing the relationship between two continuous variables, how should you plot the data?.

Answers

Answer:

Scatterplot.

Step-by-step explanation:

Scatterplots help in analyzing the relationship between two continuous variables

4/2n+5/3c=1
Solve for c.

-Multiply both sides by (blank) to clear fractions.

Answers

Answer:

We conclude that:

\(c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2\)

Step-by-step explanation:

Given the expression

\(\frac{4}{2n}+\frac{5}{3c}=1\)

Let us solve for 'c'

\(\frac{4}{2n}+\frac{5}{3c}=1\)

Least Common Multiplier of 2n, 3c:   6nc

Now multiply both sides by LCM = 6nc

\(\frac{4}{2n}\cdot \:6nc+\frac{5}{3c}\cdot \:6nc=1\cdot \:6nc\)

Simplify

\(12c+10n=6nc\)

Subtract 10n from both sides

\(12c+10n-10n=6nc-10n\)

Simplify

\(12c=6nc-10n\)

Subtract 6nc from both sides

\(12c-6nc=6nc-10n-6nc\)

Simplify

\(12c-6nc=-10n\)

Factor 12c - 6nc = 6c(2-n)

\(6c\left(2-n\right)=-10n\)

Divide both sides by 6(2-n);  n≠2

\(\frac{6c\left(2-n\right)}{6\left(2-n\right)}=\frac{-10n}{6\left(2-n\right)};\quad \:n\ne \:2\)

simplify

\(c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2\)

Therefore, we conclude that:

\(c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2\)

Select which of the following are surds
A) √17 B) √36 C) √100 D) √15 E) √30​

Answers

\(\sqrt{17}\), \(\sqrt{15}\) and \(\sqrt{30}\) are surds among the given options.

According to the question,

We have the following information:

A) √17 B) √36 C) √100 D) √15 E) √30​

Now, among these options we have to find which of them is a surd.

We know that surds are defined as numbers which can not expressed as rational numbers or in the form of p/q where q should not be equal to 0.

In this case, 6 is the perfect square root of \(\sqrt{36}\). So, it can not be classified as a surd.

10 is the perfect square root of \(\sqrt{100}\). So, it can also be expressed as a rational number.

However, among these 5 options \(\sqrt{17}\) can not be expressed as a perfect square root of any number. So, it is a surd.

\(\sqrt{15}\) and \(\sqrt{30}\) also can not be expressed as a rational number.

Hence, the correct options are A, D and E.

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Design a primary anaerobic digester using data.Input data: Population: 67,000 inhabitants Average influent flow: Q = 9,820 m3/d Influent SS load: 3,720 kg/d Influent SS concentration: SS = 379 mg/L SS removal efficiency in the primary clarifier: 60% (assumed Mixed sludge load to digester: 3,307 kgTS/d Influent sludge flow: Q = 64.2 m3/d VS/TS ratio = 0.77Requirements:(a) Digester volume(b) Hydraulic detention time(c) Primary digester effluent sludge (influent sludge to secondary digester) (d) Heat balance in digester based on the cumulative relative frequencies, about 75% of the employees accumulated how many miles or less? If you had a solution containing a mixture of magnesuun, strontium, and banum, how could you separate the threeelements (Hint Consider process of elimination) An 80.0 -kg skydiver jumps out of a balloon at an altitude of 1000m and opens his parachute at an altitude of 200m. . (c) At what height should the parachute be opened so that the final speed of the skydiver when he hits the ground is 5.00 m/s? Exercise 1 Underline the adjective clause, and circle the noun or pronoun it modifies. The people who are unable to attend will be invited again. WILLLLLLLLLLLL MARK BRAINLISTTTTTT Show that the sum of the lengths of the perpendiculars drawn from an interior point of an equilateral triangle on to the sides of the triangle is independent of the point chosen, but depends only on the triangle. Which statement about the Declaration of Independence is true?A. It was written by Thomas Jefferson and presented to the Continental Congress.B. It was written by Thomas Paine to stir up anti-British feeling in New England.C. It was written by Paul Revere in Boston after shots were fired at Lexington.D. It was written by George Washington to inspire his troops on the field of battle. To send a print job to a printer, you must first use the ____ command and specify what to print. A) print. B) pl. C) lp. D) pr. C) lp. How did the monopolies that developedduring the Industrial Revolution come toan end?A. Antitrust laws were passed.B. Workers went on strike.C. Business owners encouraged fair competition.D. The industries with monopolies collapsed. The ledger account balances for Concord Corporation at December 31, 2022 are as follows: Cash $320 Accounts Receivable 700 Prepaid Insurance 88 Supplies 270 Equipment 4800 Accumulated Depreciation, Equipment 770 Accounts Payable 394 Common Stock 1330 Retained Earnings 1560 Service Revenue 3200 Salaries and Wages Expense 2300 Rent Expense 620 If all accounts have normal balances, what would be total debits on the trial balance at December 31, 2022 Which of the following natural hazards can cause air pollution by spewing rocks and ash into the air?a volcanic eruption0000a tomadoa hurricanea flood someone who can do this task for me was yesterday I thinkI give u the brainliest What are the 5 steps in protein synthesis? Do the ratios 10/9 and 20/18 form a proportion? What are the characteristics of economic system?. Use the image to answer the question. Which effect of the central governments expanded power is shown in this image is social mobility a social contract? why or why not? based on his replies to M.Morrel, how does Dantes feel about Danglars?A. he wants to be friends and feel sad that Danglars dislikes himB. He worries that Danglars will cause trouble aboard the Pharaoh C. He believes Danglars to be good at his job but finds him unpleasant D. He has contempt for Danglars and wants to be rid of him immediately 2. What aspect of Rainsford's character gets tested and changed during his time on Ship-Trap Island?his reluctance to kill the animals he huntshis unwillingness to sympathize with the animals he huntshis fear of the dark, especially in an unfamiliar placehis belief that animals and people are very much the same