The population of a city has decreased by 26% since it was last measured. If the current population is 40,700, what was the previous population?

Answer:

In statistics, an outlier is a data point that differs significantly from other observations.

Step-by-step explanation:

The speed of the wind is 60 mph.

Let's denote the speed of the wind as r. When the plane is flying with the wind, its speed is (360 + r) mph, and when it's flying against the wind, its speed is (360 - r) mph.

According to the question, the plane flew the same distance with and against the wind, so we can set up an equation:

2.5(360 + r) = 3.5(360 - r)

Expanding the equation, we get:

900 + 2.5r = 1260 - 3.5r

Simplifying and rearranging the terms, we get:

6r = 360

Dividing both sides of the equation by 6, we get:

r = 60

Therefore, the speed of the wind is 60 mph.

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The equation of the nth term is a(n) = 2-8n

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression.

The common difference = -14-(-6) = -14 +6 = -8

The first term is a1

The nth term of an arithmetic sequence =

a(n )= a1+(n-1)d

a(n) = a1+(n-1)-8

a(n )= a1-8n+8

if a1 = -6

a(n) = -6-8n +8

a(n) = 2-8n

therefore the nth term of the sequence is 2-8n

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By AAA similarity, triangles are proved similar.

Two triangles are similar if they have an equivalent number of corresponding sides and corresponding angles. Objects with multiple identically shaped but differently sized figures are known as similar figures.

In the given triangles ABC and triangle DBE,

it is given that,

/C = /E

Now in the given triangles,

/C = /E                                    .......(given)

/B = /B                                    ........(vertically opposite angles)

/A = /D                                    .........(if two angles of a given pair of triangles          

                                               are equal, then third angle will also be equal)

Therefore, by AAA similarity, triangles

ABC ~ DBE.

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The value of x is -18.66.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

3/4x+5= -9

Now, solving for x

3/4x = -9-5

3/4 x = -14

3x = -56

x= -18.66

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A unit circle table is a table that lists the coordinates of points on a unit circle, which is a circle with a radius of 1.

The unit circle is often used in trigonometry to represent the relationships between angles and the values of the trigonometric functions sine, cosine, and tangent. The table typically lists the angle in radians or degrees in one column, and the corresponding values of sine, cosine, and tangent in other columns. The table may also include values for other trigonometric functions such as cosecant, secant, and cotangent, as well as their inverse functions such as arcsine, arccosine, and arctangent.

The unit circle table is a useful reference tool for solving trigonometric equations and for understanding the geometric properties of the trigonometric functions. Many mathematical and scientific applications use the unit circle, including engineering, physics, and astronomy.

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The main theme of Fahrenheit 451, a novel written by Ray Bradbury, is the dangers of censorship, conformity, and the importance of preserving knowledge and free thought.

The novel is set in a dystopian society in which books are banned and "firemen" are responsible for burning any that are found. The protagonist, Guy Montag, is a fireman who begins to question his job and the society he lives in, eventually leading him to join a group of rebels who memorize books in order to preserve their contents. Bradbury uses the story to warn against the dangers of censorship, mindless conformity, and the loss of intellectual curiosity, emphasizing the need for critical thinking, individuality, and the preservation of knowledge.

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Answer: I think it's P.E.M.D.A.S

Step-by-step explanation:

Answer:

120$ 60$

Step-by-step explanation:

The total cost 161+19=180

180X150%=180×1.5

=                 = 120  

150%=15, the rule of multiplication

" Stefan spend originally $120. 180-120=60

He make $60 by selling the bicycle and helmet to Jin.

The slope of line q can be found using the proportion JN/MN = KP/LP. Therefore, option D is the correct answer.

From the give graph,

In triangle LPK,

Slope = KP/LP

In triangle MNJ

Slope = JN/MN

Therefore, option D is the correct answer.

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There are 2.19,  39 euros in $100.

To determine how many 39 euros are equivalent to $100, you need to know the current exchange rate between euros and US dollars. The exchange rate varies constantly, so it's important to use the most up-to-date rate.

As of the time of writing, the exchange rate is 1 euro = 1.17 US dollars. This means that for every euro, you get 1.17 US dollars.

To determine how many 39 euros are equivalent to $100, you can use the following formula:

39 euros * (1.17 US dollars/1 euro) = X US dollars

Simplifying the equation gives:

45.63 US dollars = X US dollars

So, 39 euros are equivalent to 45.63 US dollars. To determine how many 39 euros are equivalent to $100, you can use the following formula:

$100 / (1.17 US dollars/1 euro) = X euros

Simplifying the equation gives:

85.47 euros = X euros

So, 85.47 euros are equivalent to $100. Therefore, you would need approximately 85.47/39 = 2.19 sets of 39 euros to reach $100.

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The scale factor that was used to produce Figure 2 from Figure 1 include the following: B. 5 over 3.

In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):

Scale factor = Dimension of image (new figure)/Dimension of pre-image(original figure)

Substituting the given parameters into the scale factor formula, we have the following;

Scale factor = 5/3

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Answer:

angle 1 is 24 degrees, and angle 2 is 66

Step-by-step explanation:

;)

Answer:

27716

Step-by-step explanation:

come on just do 29028-1312=s 27716

The transformation done on the heart as shown in the figure was rotation.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rotation is the flipping of a figure about a fixed point. Rotation is a rigid transformation because it preserves the shape and size of the figure.

The transformation done on the heart shown was rotation.

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Answer:

4(x - 2 + y) = 4x - 8 + 4y

Step-by-step explanation:

The expression 4(x - 2 + y) is equal to 4 times the sum of x - 2 and y. This can be simplified to:

4(x - 2 + y) = 4x - 8 + 4y

a) Chloe will run 105 miles in 30 days.

b) the expression total miles he ran in d days is 3.5d.

Mathematical expressions correspond of at least two figures or variables, at least one computation operation, and a statement. It's possible to multiply, divide, add, or abate with this fine operation. An expression's structure is as follows Expression( Math Operator, Number/ Variable, Math Operator)

Given:

Chloe daily route is 3.5 miles long.

So, in 30 days Chloe will run

= 30 x 3.5

= 105 miles.

b) the expression for total distance Chloe has run after d days.

= 3.5 x d

=3.5d

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The question attached here is in other Language whose translation is:

Chloe jogs every morning. His daily route is 3.5 miles long.

a) How far will Chloe have run after 30 days?

b) Write an expression for the total distance Chloe has run after d days.

Answer:

7 and 45

Step-by-step explanation:

First one is 7

Second one is 45

Rule is y = 5x

Answer:

the x (input ) is by 8

Step-by-step explanation:

rule by 5

Answer: 2.5 or 2 1/2

Step-by-step explanation:

One way: 1/2 x 5 = 5/2

5/2 = 2 1/2 = 2.5

Another way: 1/2 + 1/2 + 1/2 + 1/2 + 1/2 = 5/2 = 2 1/2 = 2.5

we can predict that the population of the city in 2020 will be approximately 2931 (rounded to the nearest whole number).

What is percentage ?

A percentage is a way of expressing a number as a fraction of 100. The symbol for percentage is "%". For example, 50% means 50 out of 100 or 0.5 as a decimal.

Percentages are commonly used to represent proportions, rates, and changes in quantities. They can be used to compare quantities of different sizes, or to express how much one quantity has changed relative to another quantity.

According to the question:
To predict the population of the city in 2020, we can use the formula:

P = P₀(1 + r)ᵗ

where:

P₀ = the initial population (in 2000) = 2000

r = the annual growth rate as a decimal = 0.02

t = the number of years since the initial population = 20 (since we want to predict the population in 2020, which is 20 years after 2000)

Substituting these values into the formula, we get:

P = 2000(1 + 0.02)²⁰

Using a calculator, we can simplify this to:

P ≈ 2930.63

Therefore, we can predict that the population of the city in 2020 will be approximately 2931 (rounded to the nearest whole number).

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The formula for percentage error in physics is:

% error = (|experimental value - accepted value| / accepted value) x 100%

In this formula, the experimental value is the measured value obtained from an experiment, the accepted value is the true or theoretical value, and the absolute value of the difference between them represents the error. Dividing this error by the accepted value and multiplying by 100% gives the percentage error.

The percentage error is used to assess the accuracy of experimental measurements and to determine the degree of deviation between the experimental and accepted values. The lower the percentage error, the more accurate the measurement is considered to be.

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Answer:

9

Step-by-step explanation:

IL and KL have the same length so we can set them equal.

3x = x+6

Subtract x from each side.

3x-x = x+6-x

2x = 6

Divide by 2.

2x/2 = 6/2

x=3

KL = x+6

     =3+6

    = 9

Answer:

The answer is A

Step-by-step explanation:

The width of the frame will be 6 inches.

The area of the rectangle is defined as the space occupied by the rectangle in two dimensional space.

Given that a rectangular picture is 9 inches wide and 12 inches long. the picture has a frame of uniform width. if the combined area of picture and frame is 180 in².

The area of the picture is calculated as:-

Area = L x W

Area =  12 x 9

Area = 108 square inches

The remaining area of the frame is,

Area = 180 - 108

Area = 72 square inches.

The width of the ram is calculated as:-

Area = L x W
72 = 12 x W
W = 72 / 12

W = 6 inches

Therefore, the frame will have a width of 6 inches.

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The  equivalent expression to 8k - (5 + 2k) is 6k-5.

An expression is combination of variables, numbers and operators.

The given expression is 8k-(5+2k)

Eight times k minus five plus two times of k.

We need to find the equivalent expression to the given expression.

K is the variable in the expression.

Equivalent expressions are expressions that work the same even though they look different.

Apply distributive property

8k-5-2k

Add the like terms

6k-5

Hence, 6k - 5 is the equivalent expression of 8k-(5+2k).

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An outlier is a mathematical value in a set of data which is quite distinguishing from the other values.

Its more like outliers are values uncommonly far from the middle. Mostly, outliers have a significant impact on mean, but not on the median, or mode.

Hence making the outliers are crucial in their influence on the mean.

we can say that the outlier is a data point that lies outside the entire pattern in a distribution.

They are mostly shown as dots and its known that the whiskers are required to change. Whiskers stretch out to the farthest point in the data set that isn't an outlier.

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Mean 4.9 letters and standard deviation 1.5 letters are best estimates of the population parameters . So, the correct option is (C)

The estimated mean of the sampling distribution is 4.9 letters, which is a good estimate of the population mean word length. The estimated standard deviation of the sampling distribution is 0.15 letter, which is the standard error of the mean.

The standard error of the mean is calculated by dividing the population standard deviation by the square root of the sample size. Since the sample size is 100 and the standard error is 0.15 letter, we can estimate the population standard deviation as follows:

population standard deviation = standard error x sqrt(sample size)

= 0.15 x sqrt(100)

= 1.5 letters

Therefore, the best estimates of the population parameters are:

Mean = 4.9 letters (same as the estimated mean of the sampling distribution)

Standard deviation = 1.5 letters

So, the correct option is (C) Mean 4.9 letters and standard deviation 1.5 letters.

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The value of the angle x in the parallel lines is 70 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.

Therefore, let's find x in the lines.

Sum of angles in a triangle is 180 degrees.

Hence,

∠KDP = 180 - 70 - 60

∠KDP = 50 degrees

∠BDC = ∠KDP  = 50 degrees(vertically opposite angles)

∠DBC = 180 - 50 - 60

∠DBC = 70 degrees

∠DBC = x = 70 degrees(corresponding angles)

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The area of ΔABC is 87.905 centimeters². The correct answer is C.

The area of ΔABC can be calculated using the formula A = (1/2)bc sin A, where b and c are the lengths of two sides and A is the measure of the angle between them.

Given that b = 26 centimeters, c = 16 centimeters, and measure of angle A equals 25 degrees, we can plug these values into the formula and calculate the area:

A = (1/2)(26)(16) sin 25
A = (1/2)(416) sin 25
A = 208 sin 25
A = 87.905 centimeters²

Therefore, the area of ΔABC is 87.905 centimeters2. The correct answer is option C. 87. 905 centimeters².

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