URGENT PLEASE Solve the equation using the quadratic formula. 3x^2 - 18 = -6

Answers

Answer 1

Answer:

x = 2 and x = -2

Step-by-step explanation:

The quadratic formula of a quadratic of the form ax² + bx + c is:

x = [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or x = [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Here, our equation is: 3x² - 18 = -6. Let's move all the terms to one side:

3x² - 12 = 0

a = 3 and c = -12. Notice that since there's no x term, b = 0.

Plug these into the quadratic formula:

x = [tex]\frac{0+\sqrt{0^2-4*3*(-12)} }{2*3}=\frac{\sqrt{144} }{6}=12/6=2[/tex]  

or

x = [tex]\frac{0-\sqrt{0^2-4*3*(-12)} }{2*3}=\frac{-\sqrt{144} }{6}=-12/6=-2[/tex]

So, x = 2 and x = -2.

Answer 2

Answer: x = -2, x = 2

Step-by-step explanation:

The quadratic formula:

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a} \\\\AND\\\\x = \frac{-b-\sqrt{b^2-4ac} }{2a} \\[/tex]

You can find the variables a, b, and c in the standard form of a quadratic equation:

[tex]f(x)=ax^2 + bx+c[/tex]

Your equation:

[tex]f(x)=3x^2 + 0x -12[/tex]

The variables are:

a = 3

b = 0

c = -12

Substitute those for the variables in the quadratic formula:

[tex]x=\frac{-0+\sqrt{0-(4*3*-12)}}{2(3)} \\\\AND\\\\x=\frac{-0-\sqrt{0-(4*3*-12)}}{2(3)} \\[/tex]

You can simplify this to get:

[tex]x=\frac{-\sqrt{144}}{6} \\[/tex]

(or positive square root of 144.)

The square root of 144 is 12, and 12/6 = 2.

The x-values are -2 and 2.


Related Questions

Use the pythagorean theorem to solve the problem. Round your answer to the nearest tenth if necessary.

A 12 foot ladder is placed 4 foot from the bottom of the house. How high will the ladder reach the house?

Answers

Answer:

11.31 ft

Step-by-step explanation:

Here in this problem ladder forms a right triangle with the wall of the house and it is acts as hypotenuse, length of one leg of right triangle given to be 4 feet.

Let the ladder reaches x ft height of the house.

Hence, by Pythagoras theorem:

[tex] {12}^{2} = {4}^{2} + {x}^{2} \\ 144 = 16 + {x}^{2} \\ {x}^{2} = 144 - 16 \\ {x}^{2} = 128 \\ x = \sqrt{128} \\ x = 11.3137085 \\ x = 11.31 \: ft[/tex]

Hence, the ladder reaches 11.31 ft height of the house.

Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in the table
below and used the shaded columns to calculate three sample means. What is the range of the values for the sample
means?
Hours of Swim Practice
ON
00
5

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

2

if there are 10 apples in the fridge and 7 on the table what is the ratio of apples in the fridge to apples on the table​

Answers

Answer:

The correct answer would be 10 : 7

( OPINION ) I say this because we are comparing the apples in the fridge(10) to the apples on the table(7).

I hope this was helpful :3

STAY SAFE!! :)

Final answer:

The ratio of apples in the fridge to apples on the table is 10:7. This is calculated by dividing the number of apples in the fridge by the number on the table.

Explanation:

The question asks for the ratio of apples in the fridge to the apples on the table. In order to solve this, you need to understand what a ratio is. A ratio is a way of comparing quantities. Here, the quantity being compared is apples: those in the fridge versus those on the table.

To calculate the ratio, you simply divide the first quantity by the second quantity. So in this case, you have 10 apples in the fridge and 7 apples on the table.

The ratio is therefore 10/7. This can also be written as 10:7.

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What are the answers that apply?

Answers

Answer:

A & B)

Step-by-step explanation:

A)When you subtract the bottom equation from the top, x will be eliminated & you could found the value of y

B)When you add  the equations, y will be eliminated & you could find the value of x

NEED HELP PLEASE!!!!!!!!!!!!

Answers

Answer:

The answer is B. hope this helps

The difference in their ages is 12 and the sum of their ages is 50. Find the age of each. Jim is older than Ken.

Answers

Answer:

REMA = 31

KEN = 19

Step-by-step explanation:

Let R be Rema

Let K be Ken

 

 

R+K = 50

R-K= 12

 

R-12= K

 

R+ R-12= 50

2R= 50+12

2R= 62

R= 31

 

R- 12= K

31-12= K

19= K

£ represents a group of 30 people that visited paris for a weekend break. 13 of the group visited the eiffel tower (ET) 16 of the group visited the no tre-dame cathedral (NDC) 7 of the group did not visit either of these places a person is chosen at random from the group. what is the probability that this person only visited one of the two places?

Answers

Answer:

Step-by-step explanation:

The probability that a person chosen at random from a group of 30 people only visited one of the two landmarks, the Eiffel Tower or the Notre-Dame Cathedral in Paris, is 17/30.

To calculate the probability that a person in a group of 30 people who visited Paris only visited one of the two landmarks - the Eiffel Tower (ET) or the Notre-Dame Cathedral (NDC), we need to apply the principles of set theory and probability.

Firstly, we know that:

13 visited the ET

16 visited the NDC

7 did not visit either place

Adding the numbers of visitors to both places gives us a total of 29 (13 ET + 16 NDC). However, the total number of people is 30, and 7 did not visit either, which implies that 23 people (30 - 7) visited at least one site. Therefore, 29 - 23 gives us 6 people who have visited both places.

To find the number who visited only one place, we subtract those who visited both from the total who visited each:

For ET only: 13 (visited ET) - 6 (visited both) = 7

For NDC only: 16 (visited NDC) - 6 (visited both) = 10

Adding these gives us 17 (7 ET only + 10 NDC only) who visited just one site. Hence, the probability that a person chosen at random visited only one of the two places is:

P(visited only one site) = Number who visited only one site / Total number of people

P(visited only one site) = 17 / 30

Therefore, the probability is 17/30.

i dont know the answer please help me​

Answers

the answer is D). X>_2

What does (3x-1)^2 equal?

Answers

Look at the attached picture

Hope it will help u ....

It would be 3e^2 x-e^2 I believe

Add or Subtract polynomial expressions

Answers

Answer:

x³ + x² + 4x + - 4

Step-by-step explanation:

Remove the parentheses and simplify.  Expand the negative sign for the second phrase in parentheses.

-x³ + 2x² - x + 2 + 2x³ + 5x - 1 - x² - 5

x³ + x² + 4x + - 4

Rewrite the given equation so there is a single power of 5,000 on each side. Then, set the exponents equal to each other. Which equation shows the result?

Answers

Answer:

1. 2=1

2. No Solution

Step-by-step explanation:

edge 2022

The equation that shows the result as per the given scenario is 2=1. The correct option is A.

What is exponent?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied.

Given,

Equation = [tex](1/5000)^{2z}X5000^{2z+2}[/tex]

We have to rewrite the given equation so there is a single power of 5,000 on each side.

[tex]1/a^n=a^{-n}\\\\a^m/a^n=a^{a-n}\\\\a^mXa^n=a^{m+n[/tex]

So,

[tex](1/5000)^{2z}X5000^{2z+2}=5000[/tex]

[tex]5000^{-2z}X5000^{2z+2}=5000[/tex]

[tex]5000^{-2z+2z+2}=5000^1[/tex]

By this,

-2z+2z+2=1,

Thus, the value can be 2=1, so the correct option is A.

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Your question seems incomplete, the complete question is:

Rewrite the given equation so there is a single power of 5,000 on each side. then, set the exponents equal to each other.

(1/5000)^2z · 5000^2z+2 = 5000

which equation shows the result?

a) 2=1

b) z=1

c) -4z+2=1

d) -4z+1=1

Maryanne throws a ball off the top of a building. The table shows the height of the ball in feet, f(t), at t seconds.



What type of function is represented?

exponential
quadratic
linear
logarithmic

Answers

Answer:

quadratic

Step-by-step explanation:

i just took it on edge

Answer:

Step-by-step explanation:

Solve by factoring or using the quadratic formula
2x2 + 7x + 2 = 0

Answers

Answer:

See the explanation for the answer.

Step-by-step explanation:

[tex]2x^2+7x+2=0[/tex]

[tex]x=\frac{-7\pm \sqrt{49-16}}{4}=\frac{-7\pm \sqrt{33}}{4}[/tex]

Hope this helps!

need help plz

What is true of the data in the dot plot? Check all that apply.


Number of Minutes for Each Commercial Break


The center is 3.

The peak is 5.

There are no gaps.

It is symmetric.

It is skewed right.

The spread is from 1 to 5.

There were 14 commercial breaks.

Answers

Answer:

The center is 3.

It is symmetric

The spread is from 1 to 5.

There were 14 commercial breaks.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

1 has 3 dots2 has 0 dots3 has 8 dots4 has 0 dots5 has 3 dots

Let analyse all the answers:

1/ The center is 3 True

2/The peak is 5 Wrong, the peak is 3

3/ There are no gaps. Wrong because the gap is at 4 and 2

4/ It is symmetric. Yes

5/ It is skewed right. Wrong because it is symmetric.

6/ The spread is from 1 to 5. True

7/ There were 14 commercial breaks. Yes because the total number of dots is 14

Hope it will find you well.

Answer:

The center is 3.

It is symmetric

The spread is from 1 to 5.

There were 14 commercial breaks.

Step-by-step explanation:

is 15/5 a whole number, integer, rational, or irrational number?

Answers

Answer:

integer

Step-by-step explanation:

The answer is 3 which is a whole number so is also an integer and thus inturn a rational number.

What are integers, whole numbers and rational numbers?

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The whole numbers are the numbers without fractions and it is a collection of positive integers and zero. rational numbers are numbers that can be represented as the quotient p/q of two integers such that q ≠ 0.

Given here, 15/5=3 and thus the number

3∈ whole numbers ∈Integers ∈rational numbers

Hence, The answer is 3 which is a whole number so is also an integer and thus inturn a rational number.

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Find the exact length of the third side

Answers

Phytagoras Theorem :

b² = c² - a²

b² = 50² - 40²

b² = 2500 - 1600

b² = 900

b = √900

b = 30

So, the exact length of the third side is 30

Hope it helpful and useful :)

The answer would be 30 !

Bob's Burgers surveyed a random sample of 70 Sunset Park Food Festival
attendees about their favorite type of burger. Of the attendees surveyed,
32 said that bacon cheeseburgers were their favorite type of burgers.
There are 1400 Sunset Park Food Festival attendees. Based on the data,
what is the most reasonable estimate for the number of Sunset Park Food
Festival attendees whose favorite type of burger is a sausage bacon
cheeseburger? *

Answers

Answer:

The most reasonable estimate for the number of Sunset Park Food  Festival attendees whose favorite type of burger is a sausage bacon  cheeseburger is 760.

Step-by-step explanation:

Assume that Bob's Burgers provides two types of burgers:

Bacon cheeseburgers (B)Sausage bacon  cheeseburger (S)

Of the random sample of N = 70 attendees, the number of people who said that bacon cheeseburgers were their favorite type of burgers is 32.

Then the number of people who said that sausage bacon cheeseburgers were their favorite type of burgers is, n (S) = 70 - 32 = 38.

Compute the probability that a randomly selected attendee like sausage bacon cheeseburger as follows:

[tex]P(S) = \frac{n(S)}{N}=\farc{38}{70}=0.543[/tex]

It is provided that there are 1400 Sunset Park Food Festival attendees.

Let the random variable X be defined as the number of attendee who likes sausage bacon cheeseburgers.

Then the random variable X will follows a Binomial distribution with parameter n = 1400 and p = 0.543.

This is because, there are a fixed number of trial in the experiment, each trial has the same number of outcomes, i.e. a person either likes bacon cheeseburgers or sausage bacon cheeseburgers and each trial has the same probability of success, i.e. P (S).

The expected value of a Binomial random variable is:

[tex]E(X)=n\times p[/tex]

Compute the expected number of attendees whose favorite type of burger is a sausage bacon  cheeseburger as follows:

[tex]E(X)=n\times p[/tex]

         [tex]=1400\times 0.543\\=760.2\\\approx 760[/tex]

Thus, the most reasonable estimate for the number of Sunset Park Food  Festival attendees whose favorite type of burger is a sausage bacon  cheeseburger is 760.

Find the distance, c, between (0, 0) and (–4, –3) on the coordinate plane. Round to the nearest tenth if necessary.

Answers

Answer:

5 units.

Step-by-step explanation:

For this problem, you will need to use the distance formula. The distance formula is as shown:

d= [tex]\sqrt{({x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2} }[/tex]

We can plug in the points which would result in:

d=  [tex]\sqrt{({-4-0)^{2}+(-3-0)^{2} }[/tex]

When solved:

d= [tex]\sqrt{25}[/tex]

d= 5 units

Write an equation to solve

The library bought books at $15 each and a video rack for $35. These purchases cost $395 altogether. How many books were bought?

Answers

Answer:

24 books

steps:

If we take the amount 395 and subtract 35, we get a total that is unaffected by the video rack, and can be easily answered now

The total is 360, we are now able to divide 360 by 15, getting the total of 24 books

Need Help What is l9l

Answers

Answer:

the absolute value of l9l is 9

Step-by-step explanation:

because if you look on a number line when you are calculating the absolute value it is how many numbers away from zero so it is always positive.

Answer: +9

Step-by-step explanation: When an integer is written with vertical bars on either side, it means that we take the absolute value of that integer.

The absolute value of an integer is its

distance from zero on a number line.

|9| is +9 because it's 9 units from zero on the number line.

If cos θ = 1/6, what are the values of sin θ and tan θ?

Answers

Answer:

Concept :

Use the Pythagoras Theorem and collect the values of hypotenuse , perpendicular and base.Use the formula of sinθ and tanθ

✧Thorough solution is provided in the attachment.

Don't hesistate to reach out to me if you have further queries! Have fun studying! <3

The values of [tex]\( \sin \theta \)[/tex] are [tex]\( \frac{\sqrt{35}}{6} \)[/tex] and [tex]\( -\frac{\sqrt{35}}{6} \)[/tex],  and the value of [tex]\( \tan \theta \)[/tex] is [tex]\( \sqrt{35} \)[/tex].

Given that [tex]\( \cos \theta = \frac{1}{6} \)[/tex], we need to find [tex]\( \sin \theta \)[/tex] and [tex]\( \tan \theta \)[/tex].

First, we can find [tex]\( \sin \theta \)[/tex] using the Pythagorean identity:

[tex]\[\sin^2 \theta + \cos^2 \theta = 1\][/tex]

Substitute [tex]\( \cos \theta = \frac{1}{6} \)[/tex]:

[tex]\[\sin^2 \theta + \left(\frac{1}{6}\right)^2 = 1\][/tex]

[tex]\[\sin^2 \theta + \frac{1}{36} = 1\][/tex]

[tex]\[\sin^2 \theta = 1 - \frac{1}{36} = \frac{36}{36} - \frac{1}{36} = \frac{35}{36}\][/tex]

[tex]\[\sin \theta = \pm \sqrt{\frac{35}{36}} = \pm \frac{\sqrt{35}}{6}\][/tex]

So, [tex]\( \sin \theta \)[/tex] could be [tex]\( \frac{\sqrt{35}}{6} \)[/tex] or [tex]\( -\frac{\sqrt{35}}{6} \)[/tex].

Next, to find [tex]\( \tan \theta \)[/tex], we use the definition:

[tex]\[\tan \theta = \frac{\sin \theta}{\cos \theta}\][/tex]

Substitute [tex]\( \sin \theta = \pm \frac{\sqrt{35}}{6} \) and \( \cos \theta = \frac{1}{6} \)[/tex]:

[tex]\[\tan \theta = \frac{\frac{\sqrt{35}}{6}}{\frac{1}{6}} = \sqrt{35}\][/tex]

Question 8
Suppose a 90 percent confidence interval to estimate a population proportion was calculated from a sample proportion of 18 percent and a margin of error of 4 percent. What is the width of the confidence interval?
A
2
percent
4 percent
e percent
8 percent
16 percent
36 percent
36 percent

Answers

Answer:

The answer is 8%

From the given information, the sample proportion is 18% and a margin of error is 4 percent.

Then, a 90% confidence interval to estimate the population proportion is

(18 +/- 4)

(18-4, 18+4)

(14%, 22%)

22-14 = 8

a round clock has a radius of 5 cm. what is the approximate area of the clock? use 3.14

Answers

Answer:

78.5 cm^2

Step-by-step explanation:

The area of a circle can be found using:

[tex]a=\pi r^2[/tex]

We know that the radius is 5 cm. We also know that we are using 3.14 for pi. Therefore, we can substitute 5 in for r, and 3.14 in for pi.

a=3.14*5^2

Evaluate the exponent

a=3.14*(5*5)

a=3.14*25

Multiply

a=78.5

The area of the clock is 78.5 cm^2

Which of the following shows the correct order of the numbers?
..0.8

Answers

The correct answer is: A. -1.3, -1.2, 0.8, 0.9. Hence the correct option is a.

Start by comparing the negative numbers:

Since -1.3 is a smaller number than -1.2, we know -1.3 comes first.

Compare the negative numbers with the positive numbers:

All negative numbers are less than any positive number. Therefore, both -1.3 and -1.2 come before 0.8 and 0.9.

Compare the positive numbers:

Finally, compare 0.8 and 0.9. Since 0.9 is larger, it comes last.

Therefore, the order from least to greatest is: -1.3, -1.2, 0.8, 0.9. This corresponds to option A.

Complete and correct question:

Which of the following shows the numbers in order of least to greatest? 0.9, -1.2, -1.3, 0.8

A. -1.3, -1.2, 0.8, 0.9

B. -1.2, -1.3, 0.8, 0.9

C. 0.8, 0.9, -1.2, -1.3

D. 0.9, 0.8, -1.2, -1.3

What is the upper and lower quartile of this set of data? 15, 19, 20, 25, 31, 38, 41

Answers

Upper Quartile: 38

Lower Quartile: 19

The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.

Answer:

Upper Quartile = 38Lower Quartile = 19

Step-by-step explanation:

The upper quartile is the median of the upper half of a data set.

The lower quartile value is the median of the lower half of the data.

Identify the slope of the line for the equation y = −6x + 5. A) −6 B) −5 C) 5 D) 6

Answers

Answer:

-6 is the slope

Step-by-step explanation:

y = −6x + 5

This is of the form

y = mx+b where m is the slope and b is the y intercept

-6 is the slope and 5 is the y intercept

4.10^6 is how many times as large as 1.10^4

Answers

Answer:

100 times as large

Step-by-step explanation:

If the base is 10, it is really easy to find this out.

First, what is the difference between 6 and 4? 2

Each higher exponent, the value multiplies by 10.

Remember that the the difference between the exponents is the number of zeros in the answer if the base number is 10.

2 zeros = 100

Im new to this but the question said "Fill in the boxes with values that make the statement true." can someone help?

Answers

Answer:

p^8 q^3

Step-by-step explanation:

When dividing exponents, you subtract the numerator by the denominator.

Example: Look at p. 5-(-3) will result with p^8. For q, find what subtracted from 6 will make 3.

Answer: [tex]q^3[/tex] and [tex]p^8[/tex]

When dividing exponents, if they have the same base, you subtract the exponents. For example, [tex]\frac{a^x}{a^y}[/tex] has the same base of [tex]a[/tex], so the answer would be [tex]a^{x-y}[/tex].

[tex]q^{6-3}[/tex] = [tex]q^3[/tex]

[tex]p^{5-(-3)}[/tex] = [tex]p^{5+3}[/tex] = [tex]p^8[/tex]

Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:

the numbers formed must be divisible by 25

or

the odd digits must occupy even positions (i.e. 2nd, 4th, and 6th) and the even digits must occupy odd positions (i.e. 1st, 3rd and 5th)

Answers

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

Which number line shows the solution set for |8 - 2p| = 6
A) Number Line 1
B) Number Line 2
C) Number Line 3
D) Number Line 4

Answers

Answer:

B) And D)

Step-by-step explanation:

8-2x1 = 6

Option B number line shows the solution set for |8 - 2p| = 6

What is number line?

A number line is a pictorial representation of numbers on a straight line. It can be used to represent any real number that includes every whole number and natural number. Arithmetic operations of numbers can be better explained on a number line.

According to the question the given expression is  |8 - 2p| = 6

Here the value of "p" is unknown. We have to assume a number and equate it to 6.

Let "p" be ±2, On applying ±2 in the set  |8 - 2(±2)| =0

so not ±2

Now assume ±1, On applying ±1 in the set  |8 - 2(±1)| =6

Value ±1 is shown in the 2nd number line.

Thus the correct option is B

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Your math teacher asks you to help calculate the height of the gulf coast on your football field you and your partner gather the measured as shown find the height of the top of the goal post round to the nearest 10th of a foot A swimming pool in the shape of a right rectangular prism measures 24 feet by 16 feet and is 4.5 feet deep across the entire pool. What is the volume of the swimming pool, in cubic feet?721083241,728 True or False - There is only one way to measure a country's wealth.TrueFalse How is the reproductive system different fromother body systems?I Immediately before and after the collapse of the Soviet Union, Russian andAmerican leaders worked on a treaty known as START. What was the purposeof this treaty? Jan is 62 and is considering retiring soon. She has $680,000 in a fund paying interest at an annual rate of 4.2% compounded continuously. She would like to withdraw a fixed amount continuously after she retires, and have a balance of $80,000 when she is 90 years old. Assume a continuous money flow, then she can spend $ _______ each month. (Round the answer to an integer at the last step.) TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 1) The term "plant assets" refers to long-lived assets acquired for use in business 1) operations, rather than for resale to customers. 2) If a piece of equipment is dropped and damaged during installation, the cost of 2) repairing the damage should be added to the cost of the equipment. 3) Sales tax on equipment is not part of the acquisition cost and should not be 3) capitalized. 4) To "capitalize" an expenditure means to charge it to an asset account. 4) 5) A revenue expenditure is recorded in an expense account. 5) during the postclassical era china was the first to Why were there so many huge famines in India under the Raj?? Why did the historian godfrey Hodgson referred to the postwar interaction of Republicans and democrats as a liberal consensus 5. What does this last part mean? Can youput it in simpler language? (...be anInhabitant of that State in which he shallbe chosen...) If the smallest angle of rotation for a regular polygon is 18, how many sides does polygon have?1012 2024 Make a word web of your ideas with the term alcohol use in the center.? Which statement is true about a computers central processing unit (CPU)?A. A CPU can easily be replaced with a more powerful one.B. The CPUs speed is measured in gigabytes (GB).C. A photographer should buy a larger one than is considered necessary.D. The most powerful CPUs have multiple cores. If i have a 50 liter container that holds 45 moles of gas at a temperature of 200 degrees C, what is the pressure inside the container? Step by step answer please. Use the drop-down menus to complete the statements. are pure substances that cannot be broken down into a simpler form. are units of two or more atoms. are the smallest possible particles of an element. are pure substances made of two or more atoms of different elements. A farmer owns a 100 acre farm and plans to plant at most three crops. The seed for crops A,B, and C costs $40, $20, and $30 per acre, respectively. A maximum of $3200 can be spent on seed. Crops A,B, and C require 1,2, and 1 workdays per acre, respectively, and there are maximum of 160 workdays available. If the farmer can make a profit of $100 per acre on crop A, $300 per acre on crop B, and $200 per acre on crop C, how many acres of each crop should be planted to maximize profit Drag each tile to the correct box.Match each type of credit to its description.convenience checksinstallment loanintroductory interest freerevolving creditConsumers make recurring fixed payments.Consumers can enjoy a set period of zero interest credit.Consumers use these to reduce their available credit in exchange for cash.Consumers borrow an amount that they dont have to pay off by a specific date. Cameron wants to research internet safety. Which secondary question would most help him as he researches?A.When was the internet invented, and by whom?B.What is the best internet speed for online searches?C.What is the average age of children who use the internet?D.What kinds of information should not be shared on the internet? Suppose Billy Bud's Bucking Broncos employs 20 workers at a daily wage rate of $60 each. The average product of labor is 30 bucking broncos per day; the marginal product of the last worker is 12 bucking broncos per day; and total fixed cost is $3,600 for equipment. What is the marginal cost of the last bucking bronco produced?a. $5.00 b. $240.00 c. $720.00 d. $0.20 Steam Workshop Downloader