Find the exact solution to the equation. (5 points)
one hundred times one fifth to the power of quantity x divided by four equals four.

Richard can expect the population to be 4,100 people 4 years after he moved there.

To model the population growth, we can use an exponential equation in the form y = a * b^x, where a is the starting population (3,650), b is the growth factor, and x is the number of years after Richard moved there.

To find the value of b, we can use the population growth between the first year (x = 1) and the second year (x = 2). Let's call the population at x = 2 as P.

P = a * b^2

P = 3,869

Substituting the values, we get:

3,869 = 3,650 * b^2

Dividing both sides by 3,650, we get:

b^2 = 1.06

Taking the square root of both sides, we get:

b = 1.03

So, the exponential equation that models the Clover Hills population is:

y = 3,650 * 1.03^x

To find the population 4 years after Richard moved there (x = 4), we can substitute x = 4 into the equation:

y = 3,650 * 1.03^4

y = 3,650 * 1.129

y = 4,123.738

Rounding to the nearest hundred people, we get:

y = 4,100 people

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The area of the composite figure is equal to 216 square inches

The composite figure can be observed to be made up of six identical squares, so we shall calculate for the area of one square and then multiply the result by six to get the total area of the composite figure as follows:

area of a square = length²

area of the one square = 6 in × 6 in

area of the one square = 36 in²

total area of the composite figure = 36 in² × 6

total area of the composite figure = 216 in²

Therefore, the area of the composite figure is equal to 216 square inches.

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x = original price for the jacket

now, let's reduce it by 20%, so hmmm that means the new price is really 100% - 20% = 80% of the original price, how much is that?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of x}}{\left( \cfrac{80}{100} \right)x}\implies 0.8x[/tex]

now, from that new price, let's reduce it by 10%, that means the newer price will be 100% - 10% = 90% of this new price of 0.8x, so

[tex]\stackrel{\textit{90\% of 0.8x}}{\left( \cfrac{90}{100} \right)0.8x}\implies 0.72x\hspace{5em}\stackrel{\textit{72\% of the orignal price}}{\textit{a reduction of 28\%}}[/tex]

Answer: 108 cm. (Squared)

Step-by-step explanation:

Top/Bottom: 7 x 3 = 21 / 2 = 10.5 x 2 = 21

Small Side: 3 x 5 = 15

Medium/Back Side: 5 x 7 = 35

Large Side: 7.6 x 5 = 38

21 + 15 + 35 + 38 = 108

The piece-wise function defined by 9x7+9 is added as an attachment

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

9x7+9

Express properly

So, we have

y = 9x^7+9

The above expression is a polynomial expression

Next, we represent on a graph (see attachment)

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Answer:

1

Step-by-step explanation:

4(-1+2)-3 note: -1+2 is basically 2-1 thus 1

4(1)-3

4-3

1

The number with a subscript of 12 or number base 12 that is equal to 888₉ + 555₆ + 222₂ is 689.

Using the number base conversion system,  the sum of the given numbers in base ten is determined as follows:

888₉ + 555₆ + 222₂ = X₁₂

888₉ = 8 * 9² + 8 * 9¹ + 8 * 9⁰

888₉ = 728

555₆ = 5 * 6² + 5 * 6¹+ 5 * 6⁰

555₆ = 215

222₃ = 2 * 3² + 2 * 3¹ + 2 * 3⁰

222₃ = 26

888₉ + 555₆ + 222₂ = 728 + 215 + 26

888₉ + 555₆ + 222₂ = 969

969 = X₁₂

969 = 689₁₂

Hence, X = 689

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Answer:

Below

Step-by-step explanation:

She got   T-T    44 times out of 240 tries  ( if I read your post correctly)

44/240 = .183    which is 18.3 %

Answer:

18.3%

Step-by-step explanation:

got it right evidence below

Carrie flipped a fair coin twice 240 times and recorded the results in the table.

Outcome Heads, Heads Heads, Tails Tails, Heads Tails, Tails

Frequency 60 73 63 44

If the coin is flipped 240 times, determine P(tails, tails).

18.3%

25%

44.8%

50.0%

Points earned on this question: 2

Answer:

0.543 or 54.3%

Step-by-step explanation:

This is an example of a binomial distribution, where the probability of success (playing the particular song) is 0.42, and the number of trials is 6.

To find the probability that the song will be played on at least 3 days out of 6, we need to calculate the probability of the song being played on 3, 4, 5, or 6 days.

Using a binomial probability calculator or formula, we can calculate these individual probabilities:

Probability of the song being played on 3 days out of 6: 0.308

Probability of the song being played on 4 days out of 6: 0.177

Probability of the song being played on 5 days out of 6: 0.052

Probability of the song being played on all 6 days: 0.006

To get the probability of the song being played on at least 3 days out of 6, we add these individual probabilities together:

0.308 + 0.177 + 0.052 + 0.006 = 0.543

Therefore, the probability that the song will be played on at least 3 days out of 6 is 0.543 or 54.3% (rounded to the nearest thousandth).

The solution of the inequalities y > −3x + 3 and y > x + 2 will be (2, 5). Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The system of inequalities is given below.

y > −3x + 3

The region above the line is considered.

y > x + 2

The region above the line is considered.

The overlap portion of the region is the solution. Point (2, 5) lies in that region.

The solution of the inequalities y > −3x + 3 and y > x + 2 will be (2, 5). Then the correct option is C.

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The equation, fine is $5*86 = 430so 430-430 = 0, Lin's account balance is much above zero (0), so she won't be charged $5.95 each day.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Lin's sister will be paid $430

here are no other transactions besides this deposit and the daily fee

since fine is $5*86 = 430

so 430-430 = 0

hence,

Lin's account balance is much above zero (0), so she won't be charged $5.95 each day. However, if her account balance were to drop below zero, she would be charged for any further daily deposits made.

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Answer: look at the image for the answer, and give me brainliest

Step-by-step explanation:

Answer:

(a) 3/7

(b) 2/7

(c) 0 or Impossible

Step-by-step explanation:

(a) There are seven letters in total. Three of the letters are s. Therefore out of the seven cards, three are the letter s. - 3/7

(b) Again there are seven letters in total. Two of the letters are vowels. Therefore out of the seven cards, two are vowels. - 2/7

(c) Yet again there are seven letters in total. None of the letters are a. Therefore out of the seven cards, none are the letter a. It is impossible to get the letter a - 0/7

Hope this helps :)

The probability of drawing a 1 or an even number from the set {1, 2, 3, 4} is 75%.

There are four cards in the set {1, 2, 3, 4}, of which two are even (2 and 4) and one is odd (1). To find the probability of drawing a 1 or an even number, we can add the probabilities of each event occurring:

P(1 or even) = P(1) + P(even)

Since each card is equally likely to be drawn, each of these probabilities is equal to the number of cards that satisfy the condition divided by the total number of cards:

P(1) = 1/4 (there is one card with a 1)

P(even) = 2/4 = 1/2 (there are two cards with even numbers out of four)

Therefore,

P(1 or even) = P(1) + P(even)

= 1/4 + 1/2

= 3/4

To express the answer as a percentage, we can multiply by 100:

P(1 or even) = 3/4 * 100%

=> 75%

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Answer:

Step-by-step explanation:

The measure of each individual exterior angle in a polygon can be found using the following formula:

Exterior angle measure = 360° / number of sides

This formula assumes that the polygon is a regular polygon, meaning that all sides are of equal length and all interior angles are congruent. For an irregular polygon, the exterior angle measures will vary.

Answer:

18 and A i think

Step-by-step explanation:

i don t really know if this is right but since it only asks the area of E and not the whole cuboid

9 × 2 = 18

A also equals to 18 because it has the the same width and length as E.

hope this helps

Destiny makes $(x - y) more than Stephanie.

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

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are the hourly wages of destiny make and Stephanie.

Assume that the hourly wages of Destiny are ${x} and than of Stephanie are ${y}. Let Stephanie make ${z} more than Destiny. So we can write -

z = x - y

Therefore, Destiny makes $(x - y) more than Stephanie.

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Answer:

(a) Figure A is a square.

(b) Figure A and Figure B are rectangles.

(c) Figure A, Figure B, and Figure C are parallelograms.

Step-by-step explanation:

the probability of that there will be 2 defective items among them is 0.476 or 47.6%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Calculating the possibility of an event occurring is the focus of the math discipline of probability. Probability gauges the likelihood of an event occurring.

there are 4 defective items in a lot consisting of 10 items.

from this lot we select 5 items at random.

The number of ways in which 55 items can be selected 10 C 5 = 252.

Number of ways in which 2 defective systems and 3 non-defective systems can be selected

4C2 * 6C3 = 6*20=120

The probability = 120 / 252 = 0.476

Hence the probability of that there will be 2 defective items among them is 0.476 or 47.6%.

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The expression for G will be written as G = (-10x² + 100x + 44 ) / x.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is G = -10× + 100 + 44/×. The expression for G will be calculated as:-

G = -10× + 100 + 44/×

Take LCM of x and solve,

G = -10× + 100 + 44/×

G = (-10x² + 100x + 44 ) / x.

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The statements that are true are:

The x-coordinate of the solution is 1.

The y-coordinate of the solution is -1.

The solution to a system of equations that is graphed is the point at which the two lines intersect. The coordinates of the intersection point are the solution to the system of equations.

In other words, if we have two lines represented by two linear equations, the solution to the system of equations is the point where the two lines intersect. This point is unique and it satisfies both equations simultaneously.

Therefore, the graph shows that both lines intercept at (1, -1). Therefore, the statements that will be true are:

The x-coordinate of the solution is 1.

The y-coordinate of the solution is -1.

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The ordered pair that lies on the inverse of the function is (-1, -3)

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

g(x)=^3√x+2

Rewrite as

g(x) = ∛(x + 2)

Next, we test the options

Set x = -3

So, we have the following representation

g(-3) = ∛(-3 + 2)

Evaluate the expression

g(-3) = -1

As an ordered pair, we have (-1, -3)

So, the ordered pair of teh inverse is (-1, -3)

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Answer: -1,-3

Step-by-step explanation:

The statement 'Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year' is not an example of descriptive statistics.

Descriptive statistics is a branch of statistics that are used to characterize the features of a sample by using quantitative techniques.  

Descriptive statistics can help to provide simple descriptions of the observations by using measures of Central Tendency like mean, variance, median, charts, etc...  

Data with one variable are described using univariate descriptive statistics. On the other hand, data with several variables are described using bivariate and multivariate descriptive statistics.  

The two categories of descriptive statistics are Measures of central tendency and measures of dispersion, which are used to summarize the characteristics of grouped and ungrouped data.  

Measures of central tendency are Mean, Median, and Mode, where Measures of Dispersion are Range, Variance, Standard Deviation, Mean Deviation, etc.

Here we have

Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year.

The above statement is a prediction according to previous data but it will not represent any sample data or any other data.  

Therefore,

The statement 'Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year' is not an example of descriptive statistics.

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Answer:

120

Step-by-step explanation:

480 total

1/2 = 240 are cows

1/8 = 60 are goats

remaining = 480-240-60 = 180 are chickens & ducks

33.3333% of 180 = chickens  =180/3 = 60 chickens

so ducks = 180-60 =120

Answer:

120

Step-by-step explanation:

given that out of 480 animals 0.5 of the animals are cows . So ,

no. of cows = 0.5*480 = 240

Again, we are given that 1/8 of the animals are goats , so the number of goats would be ,

no. of goats = 1/8*480 = 60

Total no. of goats and cows ,

= 240 + 60 = 300

No. of remaining animals= 480 -300 = 180

Now out of these 180 animals 33⅓ % animals are chickens and remaining are ducks.

Percentage of ducks = (100 - 33⅓ )% = 66.67%

So the number of ducks would be ,

180 * 66.67/100 = 120

And we are done!

The correct descriptions of the given numbers are as follows:

A rational number is one that can be written as P/Q, where P and Q are both integers and Q is greater than zero. An illustration of a rational number is 2/3.

However, an irrational number cannot be expressed using straightforward fractions. An example of an irrational number is √2.

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The estimated deer population live in the region is calculated as:

N = (2 * 220 * 50) / x

One method to estimate the deer population is by using the Lincoln-Petersen index, which is calculated as:

N = (2 * tagged deer count * sample size) / (number of tagged deer in the sample).

Using the data you provided, the number of tagged deer in the 8 samples is the sum of all the tagged deer counted in each sample, let's call this sum "x". Then, the estimated deer population in the region is calculated as:

N = (2 * 220 * 50) / x

Since the actual value of x is unknown, we cannot calculate the exact population. But, this formula gives us a method to estimate the population based on the number of tagged deer found in future samples.

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Answer: 67.5

Step-by-Step:

If Helen has 90 stamps, then 50% of what she has is 45 stamps.  Half of 45 is 22.5 which is 25% of what Helen has. To find out how many stamps Peggy has, we'll have to do 90 - 22.5 which is 67.5.

Answer:

X= 5

Step-by-step explanation:

If shape D is a reflection of shape C then the distance between the shape and the y-axis will be the same on both sides; so, if shape C has a 5cm distance between it and the y-axis, shape D will also have 5cm distance between it and the y-axis.