20. The population of a town increased from 60,450 to 95,610 in one decade. What was the
relative change of the population?
(a) 58.2% (b) 36.8% (c) 158.2% (d) -36.8%

Answers

Answer 1

A. 58.2%

this is because

(95610-60450)/60450 =0.5816377171215 which rounds to 0.582 which is 58.2%

Answer 2

Answer:

A

Step-by-step explanation:

Change in population/ original number

[tex]\frac{95610 - 60450}{60450}[/tex] = [tex]\frac{35160}{60450}[/tex] = .58163771712  This is the answer as a decimal.  Multiple this by 100 to get 58.2% increase rounded to the nearest tenth of a percent.


Related Questions

Find the value of x in each case

Answers

Answer: x = 23

Step-by-step explanation:

Angle in a X shape, the two 'opposite' eachother must be the same so angle HGC is 14

Angle in a Z shape where the lines of the Z are parralell, the two innercorner angles of the Z must be the same os angle GCE must be 14

In triangle GEC we now know two out of the three angles 78 and 14 and we know that angles in a trianlge add up to 180 so the missing angle GEC must be 180-78-14=88

Angles on a straight line must add up to 180 so 4x+88=180

Then this can be used to figure out x

4x+88=180

4x = 92

x = 23

Honors Pre-Calculus
Please answer fast!

Answers

The desired odd function is sketched at the end of the question.

What is an odd function?

An odd function is a function in which the following statement is true for all values of x.

f(-x) = -f(x).

What is the domain of a function?

The domain of a function is the set that contains all possible input values for a function. In a graph, it is the set that contains the values of x for which the function is defined.

What is the range of a function?

The domain of a function is the set that contains all possible output values for a function. In a graph, it is the set that contains the values of y for which the function is defined.

When a function is increasing, looking at it's graph?

Looking at the graph, we get that a function f(x) is decreasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y decreases.

When a function is decreasing, looking at it's graph?

Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.

Considering these definitions, the function with the desired characteristics is plotted at the end of the answer.

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all combinations from 0-9 that equals 0

Answers

Not sure exactly what you mean, but i’ll go from what I assume this means.

Subtraction:
[any number minus itself equals 0]
0 - 0 = 0
1 - 1 = 0
2 - 2 = 0
3 - 3 = 0
4 - 4 = 0
5 - 5 = 0
6 - 6 = 0
7 - 7 = 0
8 - 8 = 0
9 - 9 = 0

Addition:
0 + 0 = 0

Multiplication:
[Any number times 0 equals 0]
0 x 0 = 0
1 x 0 = 0
2 x 0 = 0
all the way to 9

Division:
[any number divided by 0 equals 0]
0 / 0 = 0
1 / 0 = 0
2 / 0 = 0
3 / 0 = 0
all the way to 9

I need help solving x. photo is attached below.

Answers

28 because it’s a 90 degree angle
90-62=28
Hope this helps!!!:)

Explain if the student is correct about the following:
Jake says that 3 1/5 divided by 1/7 equals 16/30
is the student correct, explain why or why not? ​

Answers

Answer:

student is not correct

Step-by-step explanation:

3 1/5 ÷ 1/7 = 22/5

the mistake the student made was multiplying rather than dividing

41. find the odds against selecting an ace when a card is drawn from a standard deck of cards. odds against

Answers

The odds against selecting an ace when a card is drawn from a standard deck of cards is 12:1.

The total number of cards in a deck is 52.The number of suits in the deck is 4.Each suit has its own ace card.So, the number of aces in the deck is 4.The probability (p) of selecting an ace card from the deck is the number of ace cards divided by the total number of cards.p = 4/52p = 1/13The probability (p') of not selecting an ace card from the deck is the number of non-ace cards divided by the total number of cards.p' = 48/52p' = 12/13The odds against selecting an ace card are equal to the probability (p') of not selecting an ace card divided by the probability (p) of selecting an ace card.The odds against selecting an ace card are p'/p.The odds against selecting an ace card are (12/13)/(1/13).The odds against selecting an ace card are 12/1.The odds against selecting an ace card are 12.

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1 7/16 as a decimal show work pls

Answers

The answer to your question is 1.4375.

See attached image for step by step analysis.

What is the value of the median? 8, 12, 14, 20

Answers

Answer: 14 ==> 3rd option

Step-by-step explanation:

The median is the middle value of a set of ordered numbers. Since this set of numbers from 8 to 20 are already ordered, the median would be the average number between 8 and 20.

(8+20)/2=

28/2=14 ==> 3rd option

Write the equation of the line parallel to the line and passing through
the point. Y=-2x-1, (4, 3)

Answers

Answer:

y = - 2x + 11

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - 1 ← is in slope- intercept form

with slope m = - 2

• Parallel lines have equal slopes , then

y = - 2x + c ← is the partial equation of the parallel line

to find c substitute (4, 3 ) into the partial equation

3 = - 8 + c ⇒ c = 3 + 8 = 11

y = - 2x + 11 ← equation of parallel line

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

The slope of the line shown is -2/5

Slope of a line

The formula for calculating the slope of a line is expressed according to the formula

Slope = Rise/Run

Slope = y₂-y₁/x₂-x₁

Using the coordinate point (0,7) and (5, 5)

Slope = 5-7/5-0
Slope = -2/5

Hence the slope of the line shown is -2/5

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Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answers

The final step of the given inequality is x < 3. Therefore, option C is the correct answer.

The given inequality is -2(5 - 4x) < 6x - 4.

We need to solve and write the final step of the given inequality.

What is inequality?

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The inequality -2(5 - 4x) < 6x - 4 can be solved as follows:

⇒ -10 + 8x < 6x - 4

⇒ -10 + 8x-8x < 6x - 4-8x (Subtract 8x on both the side of the inequality)

⇒ -10 < -4 -2x

⇒ -10+4 < -4 -2x+4 (Add 4 on both the side of the inequality)

⇒ -6 < -2x

⇒ -6 < -2x (Divide -2 on both the side of the inequality)

⇒ x < 3

The final step of the given inequality is x < 3. Therefore, option C is the correct answer.

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A sight-seeing tour bus can carry 68 people. If 330 people want to go sight-seeing on the bus, what is the minimum number of trips the bus will have to make to accommodate everyone?​

Answers

Answer:

5 trips

Step-by-step explanation:

330 people / 68 spots = 4.853

Because passengers cannot take 0.853 of a bus, it rounds up to 5.

What is the slope of the line that passes through the points (2, 8) and (12, 20)?
Write your answer in simplest form.

Answers

Answer:

6/5

Step-by-step explanation:

m = (y_2 - y_1)/(x_2 - x_1) = (20 - 8)/(12 - 2) = 12/10 = 6/5

The length of a rectangular playground is 3x−2 feet while the width is 5x +12 feet. The perimeter of the playground is

Answers

The perimeter of the playground is 16x + 20

Perimeter of a rectangle

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2(l+w)

Given the following

l = 3x-2

w = 5x+12

Substitute to have:

P = 2(3x-2+5x+12)

P = 2(8x + 10)

p = 16x + 20

Hence the perimeter of the playground is 16x + 20

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Cant answer this question
give the reason


75% of 210 =

Answers

Answer: 157.5

"Of" means to multiply. When multiplying percentages by whole numbers, the percentage becomes smaller. The commonly asked question in scenarios just like this is, "what is x% of y?" where x is the percentage and y is your number you want a percentage out of. This question requires you to use multiplication, because it uses the word, "of".

[tex]\bold{Step-by-step}[/tex]

[tex]\mathrm{"What}[/tex] [tex]\mathrm{is}[/tex] [tex]\mathrm{x\%}[/tex] [tex]\mathrm{of}[/tex] [tex]\mathrm{y?"}[/tex]

[tex]P = (x\% \times y)\\P = (75\% \times 210)\\p = 75\% = 0.75\\P = (0.75 \times 210)\\P = 157.5[/tex]

Any concerns, notify me. Have a good day!

need answers for each question asap

Answers

All the questions have been solved in the above pictures 7,8,9,10,11,12 & 13

(−x
2
−2x−2)(x
2
+x−3)

Answers

The expression is simplified -x^4 -3x³ -x² + 4x + 6

What are algebraic expressions?

Algebraic expressions are expressions consisting of variables, constants, factors and coefficients.

They are also made up of arithmetic operations such as addition, subtraction, multiplication, division, etc

Given the expression:

(-x² - 2x - 2) (x² + x - 3)

expand the bracket

-x^4 - x³ + 3x² -2x³ - 2x² +6x - 2x² - 2x + 6

collect like terms

-x^4 - x³ - 2x³ + 3x² - 2x² - 2x² + 6x - 2x + 6

Add or subtract like terms

-x^4 -3x³ -x² + 4x + 6

The expansion of the expression is -x^4 -3x³ -x² + 4x + 6

Hence, the expression is simplified -x^4 -3x³ -x² + 4x + 6

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Consider the following function.

Place the steps for finding f(x) in the correct order.

Answers

Answer:

 [tex]\frac{x-7}{4} =f^{-1}( x)[/tex]

Step-by-step explanation:

→ Replace f(x) with y

y = 4x + 7

→ Minus 7 from both sides

y - 7 = 4x

→ Divide both sides by 4

[tex]\frac{y-7}{4} =x[/tex]

→ Replace y's with f⁻¹(x)

[tex]\frac{x-7}{4} =f^{-1}( x)[/tex]


The weight of the items in a truck is ton.
How many pounds do the items in the
truck weigh?

Answers

1 ton equals 2000 pounds. Therefore the answer is 2000

2. Find x.
F
(2x-18)
E
(4x)
GH
X=

Answers

Using composition formula we get the value of x is 9/16 for G(H(X)) = 32x - 18

What is the composition formula?

In mathematics, composing a function is the process by which two functions, f and g, produce a new function, h, such that h(x) = g(f(x)). This indicates that the function of g is being applied to the function of x. In essence, a function is then applied to the outcome of another function.

We F (2x-18) and G (4x)

By using the composition formula

H(x) = g(f(x))

That is

H(x) = g(2x-18)

      = 2(4x) - 18

      = 8x - 18

If H(x) = 8x - 18

Then, G(H(x))

⇒ G(8x - 18)

⇒ 8(4x) - 18

⇒ 32x - 18

Now, we find x in G(H(x))

⇒ 32x - 18 = 0

⇒ 32x = 18

⇒ x = 18/32

⇒ x = 9/16

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find the inverse funtion of p(t)=1+In(t)​

Answers

Answer:

[tex]\mathsf e^{t-1}[/tex]

Step-by-step explanation:

Definition of an inverse function


[tex]\textsf {A\:function\:g\:is\:the\:inverse\:of\:function\:f\:if\:for}\:y=f\left(x\right),\:\:x=g\left(y\right)\:[/tex]

In order to find the inverse of p(t) = 1 + ln(t)...

Set y =  1 + ln(t)Replace t with y
[tex]\textsf t=1+\ln \left(y\right)[/tex]Solve for y
[tex]\textsf 1+\ln \left(y\right)=t[/tex]Subtract 1 from both sides
[tex]\textsf\ln \left(y\right)=t-1[/tex][tex]\textsf {$\ln \left(y\right)=t-1$}[/tex]Apply the log rule: [tex]\mathsf{If}\:\log _a\left(b\right)=c\:\mathsf{then}\:b=a^c[/tex]
[tex]\ln \left(y\right)=t-1\quad[/tex]
[tex]\implies y=e^{t-1}[/tex]




can you guys evaluate this function? I seem to be confused , thank you in advance.
k(z) = 7z^2 + 7 , find k(8z - 2)
z(q) = -10q^2 - 5 , find z(q^2)​

Answers

Answer: k(8z - 2)=448z^2-224z+35

z(q^2)​=-10q^4 - 5

Step-by-step explanation:

k(z) = 7z^2 + 7

k(8z - 2)=7(8z - 2)^2 + 7

k(8z - 2)=7(8z - 2)(8z - 2) + 7

k(8z - 2)=7(64z^2-16z-16z+4) + 7

k(8z - 2)=7(64z^2-32z+4) + 7

k(8z - 2)=7(64z^2-32z+4+1)     ==> 7*1=7, so +1 is added in parentheses while +7 is removed outside of parentheses.

k(8z - 2)=7(64z^2-32z+5)

k(8z - 2)=448z^2-224z+35

z(q) = -10q^2 - 5

z(q^2)​=-10(q^2)^2 - 5

z(q^2)​=-10(q^(2*2)) - 5

z(q^2)​=-10q^4 - 5

What is the equation of the line?

y = 4/3x

y = 3/4x

y = - 4/3x

y = - 3/4x

Answers

Answer:

y=-4/3x

Step-by-step explanation:

ans would be c y=-4/3x

Solve: 1 4/5 x 5/6 =
Group of answer choices

1 3/11

15/30

1 2/3

1 1/2

Answers

The multiplication of given fraction is 1 4/5 x 5/6 = 1 1/2

In this question, we have been given an expression 1 4/5 x 5/6

We need solve given mathematical expression.

First we write improper fraction 1 4/5 as proper fraction.

1 4/5 = 9/5

So, given expression becomes,

1 4/5 x 5/6

= 9/5 x 5/6

= 9/6

= 3/2

Now we write 3/2 as improper fraction.

If we divide the 3 by 2,then we will get 1 as quotient and 1 as remainder.

3/2 = 1 1/2

Therefore, the multiplication of given fraction is 1 4/5 x 5/6 = 1 1/2

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Please help
Thanks in advance!

Answers

Answer:

x = 5

Step-by-step explanation:

7/17 = x/12

17x = (7)(12)

17x/17 = 84/17

     x = 5

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

The slope of the line in the given graph = rise/run = 3.

How to Find the Slope of a Line?

To determine the value of the slope of a line on a coordinate plane, we can find the ratio of the rise of the line to that of its run. This means that, the formula for calculating the slope of a line would be:

Slope = rise/run.

Vertical distance across the line is the rise of the line

Horizontal distance across the line is the run of the line

In the graph given, we have:

The rise is labelled as the blue line = 9 units

The run is labelled as the red line = 3 units

Slope of the line (m) = 9 units/3 units

Slope (m) of the given line = 9/3 = 3

Therefore, the slope of the line in the given graph = rise/run = 3.

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Please answer of the picture
Urgent

Answers

The side lengths of RS and PR are 12 units

What are similar triangles?

Similar triangles are triangles whose corresponding sides are in proportion to one another.

In most cases, one triangle is dilated to form the other triangle

What is dilation?

Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.

How to determine the side length of PR?

The corresponding triangles are given as:

PQR and PSQ

This means that

PQ corresponds to PS

PR corresponds to PQ

QR corresponds to QS

Where

PQ = 18

QR = 14

QS = 21

So, we have:

PR : QR = PQ : QS

This gives

PR : 14 = 18 : 21

Express as fraction

PR / 14 = 18 / 21

Multiply through by 14

PR = 14 * 18 / 21

Evaluate

PR = 12

How to determine the side length of RS?

The corresponding triangles are given as:

PQR and PSQ

This means that

PQ corresponds to PS

PR corresponds to PQ

QR corresponds to QS

Where

PQ = 18

QR = 14

QS = 21

So, we have:

RS = PR

This gives

RS = 12

Hence, the side lengths of RS and PR are 12 units

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NEED HELP ASAPP RADICALSSS

Answers

Applying the tangent ratio, the length of side x, in simplest radical form is: 8√3.

How to Apply the Tangent Ratio?

The tangent ratio is: tan ∅ = opposite side length / adjacent side length of the right triangle.

Given the following:

Reference angle (∅) = 30 degrees.

Opposite side length = 8

Adjacent side length = x = ?

Using the tangent ratio, we have: tan 30 = 8/x

x(tan 30) = 8

Divide both sides by tan 30

x(tan 30)/tan 30 = 8/tan 30

x = 8/tan 30

x = 8/1/√3

x = 8 × √3

x = 8√3

Therefore, applying the tangent ratio, the length of side x, in simplest radical form is: 8√3.

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given values of median, mean, mode, first and third quartiles for the observations of a numeric feature, what insights can we gain into the statistical distribution of its observations?

Answers

Median, mean, mode, first and third quartiles describe a statistical distribution because these are the measures of central tendency and dispersion of a distribution.

Median, mode and mean are known as the measures of central tendency of a statistical distribution. Because these three can even represent the whole data and its properties. Mean, median and mode gives the central value around which the whole distribution lies or its representative value.

Mean: It gives the average value of the distribution. That is the Total value/ Total number of values.

Median: It is a positional average and it is the middle value of the observations in a distribution.

Mode: Mode is also a positional average which gives the most repeated or frequent observation from the distribution

Now the first and third quartiles are measures of dispersion. It gives the variation of data values from the central value. It gives an idea of the scattering of the distribution around the central value.

First quartile: If the n observations are arranged in ascending order, then the n/4th value is the first quartile.

Third Quartile: It is the 3n/4th value in the ordered n observations.

These two are used to measure the quartile deviation from the central value. If the dispersion is large, then the measures of central tendency cannot be a representative value of the distribution.

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A traffic helicopter flew directly from Point A to Point B in 8 minutes. Did the helicopter travel faster or slower than the driver? Explain or show your reasoning.

Answers

The time it takes the driver to travel from Point A to Point B is 8 minutes, the same as the helicopter but through a more longer path, such that, we have;

The helicopter travels slower than the driver

How can the speed of the helicopter and the car be compared?

Based on a similar question, the first part required to determine if a driver that drives from Point A to Point B in 8 minutes obeyed the speed limit of 55 miles per hour.

The path of the driver consists of a short path, a bend changing the direction, then a long straight path.

The path of the helicopter is directly from Point A to Point B.

Therefore;

The length of the path of the driver, d1, is longer than that the helicopter, d2, which gives;

d1 > d2

From kinematics, we have;

[tex]Speed = \frac{Distance}{Time} [/tex]

The time taken by the helicopter and the and the driver are equal to 8 minutes, therefore;

[tex] Speed \: of \: the\: driver = \frac{d_1}{8} [/tex]

[tex] Speed \: of \: the \: helicopter = \frac{d_2}{8} [/tex]

[tex] d_1 > d_2 [/tex]

According to the division property of equality, we have;

[tex] \frac{d_1}{8} > \frac{d_2}{8} [/tex]

[tex] \frac{d_2}{8} < \frac{d_1}{8} [/tex]

Therefore;

The speed of the helicopter is lesser than the speed of the driver, which gives;

The helicopter travels slower than the driver

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