During the worst periods of inflation in America, the price of food increased at a rate of 12 % per month. If your food bill was $300 one month during this period, what was it two months later?
Exponential; $337.08
Linear; $672.00
Exponential; $376.32
Linear; $372.00

Answers

Answer 1

Answer:

  Exponential; $376.32

Step-by-step explanation:

Generally, an increase of 12% in a month means the prices are 12% more than they were in the previous month. That is, the value has been multiplied by 1.12.

The same would be true for the second month, so the overall multiplier for the two months is ...

  (1.12)(1.12) = 1.12^2 = 1.2544

This makes the food bill for the second month amount to ...

  1.2544 × $300 = $376.32

_____

As with all percentages, you need to be clear about what base is being used. Here, we have assumed the base for a monthly increase is the value at the beginning of the month.

If, instead, it is the value at the beginning of the year, then the increase is linear, not exponential. 12% of the value at the beginning of the year is the same throughout the year.


Related Questions

please help, there is a picture

please help, there is a picture

Answers

The answer us c I took that test too

Step-by-step explanation:

C

Answer:

y= 15/x

Step-by-step explanation:

help please
Find the area of a regular hexagon with an apothem 8.7 centimeters long and a side 10 centimeters long. Round your answer to the nearest tenth.

Answers

Answer:196.65

Step-by-step explanation:

Round 6475.13 to the nearest ten

Answers

To find:

Round 6475.13 to the nearest ten.

Solution:

The unit digit of the number is 5 and the tens digit is 7.

When rounding up the tens digit, it will become 8 and the unit digit will be zero.

So, the number is 6480.

Find the expected value E(X) of the following data. Round your answer to one decimal place.[x/2/3/4/5/6][P(X=x)/0.2/0.1/0.2/0.1/0.4]

Answers

The expected value of the random variable E(X) of the the data will be equal to 4.0.

The expected value of a random variable X is given by the formula:

E(X) = ∑x * P(X = x)

where ∑ denotes the sum over all possible values of x.

In this case, the possible values of x are 2, 3, 4, 5, and 6, and the corresponding probabilities are 0.2, 0.1, 0.2, 0.1, and 0.4, respectively. Plugging these values into the formula, we get:

E(X) = (2 * 0.2) + (3 * 0.1) + (4 * 0.2) + (5 * 0.1) + (6 * 0.4)

= 0.4 + 0.3 + 0.8 + 0.5 + 2.4

= 4.0

Rounding to one decimal place, the expected value of X is 4.0.

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Trading cards come in a pack of 12 card. Chris bought 300 cards. How many packs did he buy?

Answers

Answer:

25

Step-by-step explanation:

300 divided by 12 equals 25

During the 2008 - 2009 financial crisis, the GDP of the USA reduced from $14.72 trillion in 2008 to $14.42 trillion in 2009. What is the percentage change between these two years? around your answer to the nearest hundredth of a percent.

Answers

The percentage change in GDP is 2.04%

Percentage Change

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.

The formula of percentage change is given as

Percentage change =[ (New increase - old value) / old value] * 100

Percentage change = [(14.72 - 14.42) / 14.72] * 100

Percentage change = 2.04%

In this case, there is a percentage decrease of 2.04%

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Which of the following functions will represent $500 placed
into a mutual fund yielding 10% per year for 4 years.

• A = 500(.10)^4
• A = 500(1.1)^4
• A = 500(4)(.10)
• A = 500(1.04)^10

Answers

Answer:

the answer is the first one

Step-by-step explanation:

The  functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is  A = 500(1.1)^4

what is Compound Interest?

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

given:

P= $500

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 500.00\((1 + 0.1/1)(1)^4\)

A = 500.00\((1.1)^4\)

A = $732.05

Hence, the functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is  A = 500(1.1)^4

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7 cm
rom
This quarter circle has a radius of 7 centimeters.
What is the area of this figure?
Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer
to the nearest hundredth

7 cmromThis quarter circle has a radius of 7 centimeters.What is the area of this figure?Use 3.14 for

Answers

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Area of quarter = 1/4 × Area of whole circle

that is ~

\( \sf \dfrac{1}{4} \times \pi {r}^{2} \)

\( \sf \dfrac{1}{4} \times 3.14 \times 7 \times 7\)

\( \sf \dfrac{153.86}{4} \)

\( \sf \approx38.46 \: \: cm {}^{2} \)

please help i will mark brainlist

please help i will mark brainlist

Answers

Answer:196.8

Step-by-step explanation:brainlyest plz plz I need it for my rank

196.8 because you have to multiply 8•12 and 2.05

Support for character vector or string inputs will be removed in a future release. Instead, use syms to declare variables and replace inputs such as dsolve('Dy = -3*y') with syms y(t); dsolve(diff(y,t) == -3*y).

Answers

The support vector of the input dsolve('Dy = -3*y') is "dsolve(diff(y,t) == -3*y)".

A symbol is a mathematical object that represents a mathematical entity, such as a number, a variable, or a function. In mathematical software, symbols are used to represent variables, which can be used in mathematical expressions to perform computations.

In the past, character vectors or strings were used to represent symbols in certain mathematical software programs.

In the future release of this software, support for character vectors or strings will be removed. Instead, the program will require users to use the "syms" function to declare variables as symbols.

As an example of how this might be used in practice, consider the differential equation

=> "dy/dt = -3y".

In the past, this equation might have been entered into a mathematical software program using a character vector or string to represent the variable "y".

However, in the future release of this software, the user will need to use the "syms" function to declare "y" as a symbol. The equation would then be entered using the "diff" function, like this:

=> "dsolve(diff(y,t) == -3*y)".

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K A hot-air balloon is rising vertically. The angle of elevation from a point on level ground 126 feet from the balloon to a point directly under the passenger compartment changes from 19.3 deg to 32.3 deg How far, to the nearest tenth of a foot, does the balloon rise during this period?

Answers

The increase in height (rise) of the balloon is \(35.53 feet\)

What is Pythagorean Theorem?

Pythagoras' theorem states that "the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides."

The angle of elevation is generated by the intersection of the horizontal line and the line of sight. If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation.

According to the given information:

Given that,

Initial angle of elevation = \(19.3^{0}\).

Final angle of elevation = \(32.3^{0}\).

Distance = \(126 feet\).

How to calculate the height (rise).

In order to determine the increase in height (rise) of the balloon, we would apply Pythagorean Theorem. Mathematically, this is given by this formula:

tan∅ = \(\frac{height}{adj}\)

height = adjacent \(*\) tan∅

At an initial angle of elevation:

height \(=126* tan 19.3^{0} \\= 126 * 0.3501\\= 44.11 feet\)

At a final angle of elevation:

height \(=126* tan 32.3^{0} \\= 126* 0.6321\\= 79.64 feet\)

For the change in height:

Δh \(= 79.64-44.11\\=35.53 feet\)

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which is true regarding the sequence below?
5,2,-3,-10,-19

Answers

Answer: Its going down by odd numbers

Step-by-step explanation:

5-2=3, 2-(-3)= 5, then it would go on 7, 9, 11, 13...

Answer:

The difference between the numbers does not follow a common pattern; hence, the sequence is not arithmetic.

Step-by-step explanation:

Let's take the 1st two digits, 5 and 2

The difference between the numbers, 5-2 = 3

Following this pattern,

2-(-3) = 5

-3-(-10) = 7 and,

-10-(-19) = 9.

We can see that the differences are 3, 5, 7 and 9 and therefore we can prove that there is no common difference between the numbers.

Hence the sequence does not follow an arithmetic pattern as there is no common difference

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A couple is starting a family and decides to have four children. Assume that the probability of having a boy or having a girl are equal. Find the probability model for the number of girls the couple has

Answers

Consequently, the probability of producing precisely one girl or exactly one male 0.25 + 0.25 = 0.5P(x = 1) = 4C1 * 0.5^1 * 0.5^3; 0.9375 ; 0.5

What is probability?

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.

Due to this:

p = 0.5

Modeling the probability of how many females the couple has:

\(P(x =x) is equal to nCx * px * (1 - p) (n - x)\\P(x = 0) = 4C0 * 0.5^0 * 0.5^4 = 0.0625\\\=P(x = 1) = 4C1 * 0.5^1 * 0.5^3 = 0.25\\P(x = 2) = 4C2 * 0.5^2 * 0.5^2 = 0.375\\P(x = 3) = 4C3 * 0.5^3 * 0.5^1 = 0.25\\P(x = 4) = 4C4 * 0.5^4 * 0.5^0 = 0.0625\)

likelihood of having at least one female

N = 4 trials in total.

P(x 1) is equal to p(x = 1) plus p(x = 2) plus p(x = 3) plus p(x = 4)

Employing the relation

P(x =x) is equal to nCx * px * (1 - p) (n - x)

use a calculator

P(x ≥ 1) = 0.9375

Chances of getting just one female or exactly one boy

3 females OR 3 boys OR 1 boy

P(x = 1)

P(x =x) is equal to nCx * px * (1 - p) (n - x)

P(x = 1) = 4 * 0.5 * 0.125

P(x = 1) = 0.25

The likelihood of getting one girl and three males or vice versa is 0.25

Consequently, the likelihood of producing precisely one girl or exactly one male

0.25 + 0.25 = 0.5P(x = 1) = 4C1 * 0.5^1 * 0.5^3 is 0.9375 ; 0.5

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Given f(x) = 1/2 (3 - x) ^ 2, what is the value of f(15)?

Answers

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

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High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam Students who score in the top 26 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly
recognized?

Answers

Using the normal distribution, it is found that a student has to score 0.6433 standard deviations above the mean to be publicly recognized.

Normal Probability Distribution

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

The top 26% of the scores are given by scores above the 74th percentile, which corresponds to Z = 0.6433, hence, a student has to score 0.6433 standard deviations above the mean to be publicly recognized.

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Terrence walks at a pace of 2 mi/h to the theater and watches a movie for 2 h and 15 min. He rides back home, taking the same route, on the bus that travels at a rate of 40 mi/h. The entire trip takes 3.5 h. How far along this route is Terrence’s house from the theater? Explain.

Answers

Answer:

2.2 miles

Step-by-step explanation:

3 hours and 30 minutes minus 2 hours and 15 minutes is 1 hour and 15 minutes. 2/40 gives you 0.05. 1.15 - 0.05 gives you 1 hour and 10 minutes and multiply that by 2 and it gives you 2.2 miles.

The distance between Terrence’s house from the theater will be 2.4 miles.

What is speed?

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Distance is defined as the length between the two points.

Let us suppose the following parameters to get the distance.

D = distance of Terrence’s house from the theater

v₁ = speed at which Terrence walks from home to the theater = 2 mi/h

t₁ = time taken by Terrence to walk from home to the theater = D/v₁ = D/2

v₂ = speed at which Terrence returns back to home = 40 mi/h

t₂ = time taken by Terrence to return back to home = D/v₂ = D/40

t' = time spent in watching the movie = 2 h 15 min = 2.25 h

t = total time = 3.5 h

The distance will be calculated as given below:-

t = t₁ + t₂ + t'

3.5 = (D/2) + (D/40) + 2.25

D = 2.4 miles

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This is due in like a hour please help!

This is due in like a hour please help!

Answers

Answer:

i think the fourth one is equvilent ratio

Step-by-step explanation:

Please help asap !!!!

Please help asap !!!!

Answers

C

Step-by-step explanation:

You do 5 - 2 = 3 and -y = -x so the answer would be C.

The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test (SAT) in a particular year had a mean of 490 and a standard deviation of 100. The distribution of SAT scores is bell-shaped.

What percentage of seniors scored between 390 and 590 on this SAT test?

Answers

Answer:

The value is  \(P( 390 < X < 590) = 68.3 \%\)    

Step-by-step explanation:

From the question we are told that

   The mean is  \(\mu = 490\)

    The standard deviation is  \(\sigma = 100\)

   

Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as

     \(P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )\)

\(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

    \(P( 390 < X < 590) = P( -1 < Z < 1 )\)

=>  \(P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )\)

From the z table  the area under the normal curve to the left corresponding to  1 and  -1  is  

\(P(Z< 1 ) = 0.84134\)

and

\(P(Z< - 1 ) = 0.15866\)  

   \(P( 390 < X < 590) =0.84134 - 0.15866\)

=> \(P( 390 < X < 590) = 0.6827\)

Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as

=> \(P( 390 < X < 590) = 0.6827 *100\)    

=> \(P( 390 < X < 590) = 68.3 \%\)    

HURRY AND ANSWER AS FAST AS YOU CAN!!! PLEASE I NEED THESE BY TODAY The length of a rectangle is (2x - 7)inches and the width is (x2 - 5) inches. Find an expression for the perimeter of the rectangle. A) 2x3 + 35B) x2 - 2x + 2X) x2 + 2x - 12 D) 2 x 2 + 4x -24 The sum of −15x2 −5x + 11 and another polynomial expression is −9x2 + 3x −10. What is the other polynomial expression? A) 24x2 + 8x − 8 B) 6x2 + 8x − 21 C) − 24x2 + 8x + 8 D) − 24x2 + 8x − 8

Answers

Answer:

Q1.

Perimeter = 2(Length + Width)

Perimeter = \(2((2x-7)+(x^2-5))\)

\(2\left(2x-7\right)+2\left(x^2-5\right)\)

\(4x-14+2x^2-10\)

\(2x^2+4x-24\)

Q2.

\((-9x^2+3x-10)-(-15x^2-5x+11)\)

\(-9x^2+3x-10+15x^2+5x-11\)

\(6x^2+8x-21\)

can you help me understand to identify. the common ratio

can you help me understand to identify. the common ratio

Answers

If each square represents one unit, that means the numbers from left to right are respresented by the total number of squares.

Therefore, the first one represents

\(\begin{gathered} 9\times12\text{ squares} \\ 108\text{ squares (108 units).} \\ \text{Therefore, the numbers in the geometric sequence are;} \\ 108,36,12,4 \\ \text{The common ratio is derived as the current term divided by the previous term} \\ \text{Therefore;} \\ r=\frac{36}{108}=\frac{12}{36}=\frac{4}{12} \\ r=\frac{1}{3} \end{gathered}\)

The common ratio (which is r) equals 1/3

GUYS PLEASE HELP ME!!!
you get 100 points for answering this!


Alex paid $6 for renting a movie for 3 days. Which graph shows the relationship between the costs of renting a movie for different days? (3 points)



A graph is shown with title Movie Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars. Points are plotted on the ordered pairs 1, 1, and 2, 2, and 3, 3.


A graph is shown with title Movie Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of rental in dollars. Points are plotted on the ordered pairs 1, 3 and 2, 5, and 3, 7.


A graph is shown with title Movie Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of rental in dollars. Points are plotted on the ordered pairs 1, 2 and 2, 4, and 3, 6


A graph is shown with title Movie Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars. Points are plotted on the ordered pairs 2, 1 and 4, 2, and 6, 3.

Answers

Answer:

Step-by-step explanation:

This is clearly a linear relationship.  If Alex rented the movie for 0 days, he'd owe nothing.  If he paid $6 for a 3-day rental, the slope of this line would be m = rise / run = $6/(3 days) = $2/day, which is positive.

Then the equation for this graph is C(x) = ($2/day)x, where x is the number of days for which the movie is rented.

Using this formula, we find three particular points on the graph:

(1, $2), (2, $4), (3, ($6)

Answer:

I think the first one

Step-by-step explanation:

can you add a picture ?

also there is no graph so dont report me if im wrong

What is a satellite country? ​

Answers

Answer:

A satellite state is a country that is formally independent in the world, but under heavy political, economic and military influence or control from another country.

What is the probability that the group of stores will have a restaurant or a hardware store or both?

What is the probability that the group of stores will have a restaurant or a hardware store or both?

Answers

Answer:

2/3

Step-by-step explanation:

There are 4 possible outcomes that include a restaurant, a hardware store, or both. There are 6 possible store combinations (Possibilities = 1 grocery × 3 for the second store × 2 for the third store = 6). So the probability of having a group of stores with a restaurant or a hardware store is:

4/6 = 2/3

Please help!
What is the length of x?
What is the length of EF?

Please help!What is the length of x?What is the length of EF?

Answers

Answer:

The length of x is 3
The length of EF is 48

If you score a 99, what percentage of the population scored above you?

Answers

Answer:

1%

Step-by-step explanation:

Answer:

1% pf the population scored above you

Step-by-step explanation:

make brainliest

WXYZ is a trapezoid with mid-segment TR. find the length of TR

Answers

Trapezoid have 4 length side lines

Now find proportions

Find height of trapezoid

Divide trapezoid in 1 rectangle and 2 triangles

Then , the 2 triangles have a base of (23-15)/2 = 4

Then height is 4 x WZ x sin 56

Angle Z = (180-56-90) + 90 = 124 degrees

Angle X = 360-124- 56 - 121= 59 degrees

Now look at line 23

Then WZ• cos56 + 15 + XY• cos 59 = 23

Now if both angles Z and Y were similar ,then

TR would be (WX + ZY )/2, because T divides half WZ

BUT theyre not similar, theres a little difference . Then find this difference

Use formula cos (a+b) = cosa• cosb- sina•sinb

then

cos 59 = cos56• cos3 - sin56•sin3

aproximate cos3= 1 , sin3=0

then WZ• cos56 + XY•cos 56 + 15 = 23

(WZ + XY)•(cos56) = 23-15= 8:

(WZ + XY) = 8/(cos56) = 14.285

(WZ + XY)/2 =7.1428

then TZ = 7.1428/2 =3.5714

Finally TR = 15 + 2•TZ cos 56 = 18.994

Able, ben and cal each played a game.

able scored six times bens score.

cal scored a third of able's score. write down the ratio of able's score to ben;s score to cal's score

Answers

Answer:

Ratio of Able's score to Ben=6:1

Ratio of Ben's score to Cal's=1:2

Ratio of able's score to ben;s score to cal's score=6:1:2

Step-by-step explanation:

Let Ben's score =x

Able scored six times Ben's score

Able=6*x

=6x

Cal scored a third of Able's score

Cal=1/3 of 6x

=1/3(6x)

Ratio of Able's score to Ben

6x:x

=6:1

Ratio of Ben's score to Cal's score

x:1/3(6x)

=x:6x/3

=x:2x

=1:2

Ratio of able's score to ben;s score to cal's score=6:1:2

In the “Lucky Chances” lottery a box has 100 balls. 60 balls are marked “Good.” 40 balls are marked, “Bad.” To play this lottery, you draw a ball at random and look at the message. You play this lottery every day. What happens over the course of 500 plays?

Answers

Answer:

Lucky Chances” lottery a box has 100 balls. 60 balls are marked “Good.” 40 balls are marked, “Bad.” To play this lottery, you draw a ball at random and look

Over the course of 500 plays, you can expect to draw a "Good" ball 300 times.

Over the course of 500 plays, you can expect to draw a "Bad" ball 200 times.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability of drawing a "Good" ball is 60/100 or 0.6.

The probability of drawing a "Bad" ball is 40/100 or 0.4.

We can use these probabilities to determine what will happen over the course of 500 plays:

On average, you can expect to draw a "Good" ball 0.6 times for every play. So over the course of 500 plays, you can expect to draw a "Good" ball 0.6 x 500 = 300 times.

On average, you can expect to draw a "Bad" ball 0.4 times for every play. So over the course of 500 plays, you can expect to draw a "Bad" ball 0.4 x 500 = 200 times.

Note that these are expected values based on the probabilities, and there is no guarantee that you will actually draw exactly 300 "Good" balls and 200 "Bad" balls.

However, over a large number of plays, the actual results should approach these expected values.

Thus,

Over the course of 500 plays, you can expect to draw a "Good" ball 0.6 x 500 = 300 times.

Over the course of 500 plays, you can expect to draw a "Bad" ball 0.4 x 500 = 200 times.

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What is the area of the square that measures 3.1 m on each side

Answers

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Other Questions
Exaluale each using the value given28) 2191 - 10v): se r--10, and 1= -5UND28 What new invention allowed the British to effectively defend against German air attacks? A college graduate expects to earn a salary of $60,000 during the first year after graduation and receive a 4% raise every year after that. What is the total income he will have received after ten years?a. $720,366. 43b. $634,967. 72c. $624,000. 00d. $809,181. 8 Which of the following do women tend to remember better than men?A. Information about relationshipsB. Important datesC. NamesD. Facts about American history Select the correct answer. What was the most likely reason that many Americans feared the Soviet Union during the Second Red Scare in the 1950s?OA. They believed that the US labor unions were increasingly under the influence of communists. B. They believed that the US educational system was teaching their children to be communists. OC. They believed that communist spies were in commanding positions in the US armed forces. OD. They believed that communist subversives were trying to overthrow the US government. you put a bottle of soft drink in a refrigerator and leave it until its temperature has dropped 10.0 k. what is its temperature change in (a) f and (b) c? What is another way to name line \ellell? Film festival logic puzzle Scenario 1. Nestor is a baseball player, but he also spends part of his day as a massage therapist. As a therapist, Nestor helps people feel better. Due to the popularity of his massage skills, Nestor has more clients requesting his services than he has time to help if he continues playing baseball. Nestor charges $50 an hour for his massage therapy. One summer day, Nestor spends 8 hours in playing two baseball games earning $600. Refer to Scenario 1. What is the economic profit of the day that Nestor spends playing baseball? In the coordination compound [Co(en)2CIz]CI, the charge on the Lewis acid is (ethylenediamine, en = H2NCH2CH2NH2) a. -2 b. -1 c. +2 d.+3 e. +1 Order the following events for the complete cell cycle of an autosomal cell on the LEFT and for a gamete on the RIGHT. If something does not take place, write n/a. If something occurs twice, write the first number/the second number in the blank Read the following passage from Heart of Darkness by Joseph Conrad:Once, I remember, we came upon a man-of-war anchored off the coast. There wasn't even a shed there, and she was shelling the bush. It appears the French had one of their wars going on thereabouts. Her ensign dropped limp like a rag; the muzzles of the long six-inch guns stuck out all over the low hull; the greasy, slimy swell swung her up lazily and let her down, swaying her thin masts. In the empty immensity of earth, sky, and water, there she was, incomprehensible, firing into a continent. Pop, would go one of the six-inch guns; a small flame would dart and vanish, a little white smoke would disappear, a tiny projectile would give a feeble screechand nothing happened. Nothing could happen. There was a touch of insanity in the proceeding, a sense of lugubrious drollery in the sight; and it was not dissipated by somebody on board assuring me earnestly there was a camp of nativeshe called them enemies!hidden out of sight somewhere.What is the main purpose of the passage? Write a short argument to answer the question. Develop your ideas by analyzing specific details from the passage. You are writing an argument, so be careful to include a clear thesis and to respond to at least one counter-argument. Which part of the capital structure commonly has preference of return of capital as well as seniority over an promoted equity of the sponsor/general partnerA. Common/Sponsor EquityB. Preferred EquityC. Senior DebtD. Mezzanine Financing Among the different work ethics we have studied, which among them do you often practice at home, in school, or anywhere? W rite instances you practiced it. * ab124954253C3995If the slope of line c is given, the slope ofwhich other line is known? Geometry: ASAP!!! Complete this proof How might european christian leaders feel toward the ottoman empire upon reading busque account? Briefly describe the history of the mitochondria and the chloroplast (2 points). __ allow(s) users with mobility issues to control the computer with their voice.Speech input softwareTracking devicesHead pointersText-to-speech Compute the break-even sales (units) under the proposed x units Determine the amount of sales (units) that would be necessa x units Determine the maximum income from operations possible wil x If the proposal is accepted and sales remain at the current lev x Based on the data given, would you recommend accepting the In favor of the proposal because of the reduction in break-even In favor of the proposal because of the possibility of increasing In favor of the proposal because of the increase in break-even 1. Reject the proposal because if future sales remain at the curren Reject the proposal because the sales necessary to maintain the hoose the correct answer. Feedback v Check My Work 1. Multiply the percentages for fixed and variable costs by each cost