The population of the country in 2001 to the nearest hundredth of a million is 24.31 million
What was the population in 2001?If the population grows by 6.5% every year, the population grows at a compound rate. The equation that can be used to determine the population in 2001 would be an exponential equation. The equation that can be used to represent an exponential equation is: a = [tex]mx^{b}[/tex]
When a population grows at a compound rate, it means that both the existing population and the increase in the population increase by 6.5 every year.
The equation that can be used to determine the population of Tacoma in 2017 is:
P = FV / (1 + r)^n
Where:
FV = Future value P = Present populationR = rate of growthN = number of years : 2006 - 2001 = 533.3 / ( 1 + 0.065)^5
33.3 / (1.065^5) = 24.30503 million
In order to round 24.30503 million to the nearest hundredth , look at the thousandth figure, if it is greater or equal to 5, add one to the hundredth digit and change the thousandth digit to 0. So, 24.30503 million becomes 24.31 million
To learn more about future value, please check: https://brainly.com/question/18760477
#SPJ1
Tom travelled at constant speed of 147 km/h for 3 hours.
Find the distance Tom has travelled.
0
Submit Answer
km
Answer:
441km
Step-by-step explanation:
hope this works :)
let r be a relation defined on set s where s is the set of all people in usa, and x r y means that x and y can communicate using the same spoken language. the relation r on s is reflexive.
Based on the information illustrated,
the relation r on s is reflexive. Therefore, it's true.
How to explain the information?If every component of a set X is related to one another, then a relation R over that set is said to be reflexive.
If (a, a) R for all A, that is, if every element of A is R-related to itself, or if aRa for every a A, then R is set to be reflexive.
In the example question, S is the set of all Park students, and R is a relation over S.
When a relationship is described as xRy, it signifies that x and y have the same biological mother.
This relation is obviously a reflexive relation. xRx means x and x has the same biological mother. In this case, the relation satisfies the requirement for all aR (a,a) R.
Therefore, it's true.
Learn more about reflexive on:
https://brainly.com/question/2416659
#SPJ4
Solve: |-5| + |12| =
*
Answer:
17
Step-by-step explanation:
the absolute value function always gives a positive result , that is
| - a | = | a | = a
| - 5 | + | 12 |
= | 5 | + 12
= 5 + 12
= 17
Given a number is a whole number, write an expression to describe the preceding whole number.
The expression which represents a whole number which is the preceding number to a whole number x is; x-1.
What are whole numbers?Whole numbers are a class of numbers which are otherwise termed, Integers. Furthermore, Integers number values include, 1, 5 and -3 among a host of other numbers.
Hence, if the actual number is; x, then it follows that the number which precedes x is such that it is less than x by 1 unit.
Ultimately, the required preceding number is; x-1.
Read more on integers;
https://brainly.com/question/26478372
#SPJ1
The coordinate -2 has a weight of 1, the coordinate 0 has a weight of 1, and the coordinate 3 has a weight of 2. Find the
weighted average.
Weighted average:
The weight average of the coordinates is 1
How to determine the weight average?The given parameters are:
Coordinate -2 has a weight of 1Coordinate 0 has a weight of 1Coordinate 3 has a weight of 2The weight average is then calculated as:
Weight average = Sum of (Weight * Coordinate)/Sum of Weights
So, we have:
Weight average = (-2 * 1 + 0 * 1 + 3 * 2)/(1 + 1 + 2)
Evaluate the quotient
Weight average = 1
Hence, the weight average of the coordinates is 1
Read more about average at
brainly.com/question/20118982
#SPJ1
List all pairs of congruent angles, and write a proportion that relates the corresponding sides for each pair of similar polygons.
J K L M ≅ TSRQ
Pairs of congruent angles are: ∠J ≅ ∠T; ∠K ≅ ∠S; ∠L ≅ ∠R; ∠M ≅ ∠Q
A proportion of their corresponding sides is: JK/TS = KL/SR = LM/RQ = JM/TQ
What are Similar Polygons?When two polygons are similar to each other, they have the same shape but different sizes. Therefore, they will have pairs of angles that are congruent to each other and pairs of corresponding sides that have ratios that are the same, which means they have the same proportion.
Given polygons JKLM and TSRQ, the corresponding congruent angles are:
∠J ≅ ∠T
∠K ≅ ∠S
∠L ≅ ∠R
∠M ≅ ∠Q
A proportion of their corresponding sides would be:
JK/TS = KL/SR = LM/RQ = JM/TQ
Learn more about similar polygons on:
https://brainly.com/question/18482040
#SPJ1
Write the following in factored form by factoring out the greatest common factor. 40p^6q+15p^5q^4 + 35p^3q^2
Answer:
5p^3q ( 8p^3 + 3p^2q^3 +7q)
Step-by-step explanation:
greatest common factor = GCF
40p^6q + 15p^5q^4 + 35p^3q^2
This expression has 3 terms: 40p^6q , 15p^5q^4 , and 35p^3q^2
Find the GCF for the 3 terms
The coefficient parts are 40, 15 and 35 their GCF is 5
The p part: p^6, p^5, and p^3 their GCF is p^3
The q part: q, q^4, and q^2 their GCF is q
The GCF for the 3 terms is 5p^3q
Factor the expression using the GCF
40p^6q + 15p^5q^4 + 35p^3q^2 =
5p^3q ( 8p^3 + 3p^2q^3 +7q)
A Carpenter started with a board that was 31 inches long. He cut 2 pieces that were each 3 inches long. He then cut 3 pieces that were each 8 inches long
How many inches of the board is left
PLEASE HELP
Answer:
3 + 3 = 6
8 + 8 + 8 = 24
24 + 6 = 30
31 - 30 = 1
1 inch of the board is left
kai is using clay to make bowls. each bowl uses 4/5 Ib of clay. Kai has 2 2/5 Ib of clay. How many bowls can Kai make? pls help!
The number of bowls of clay that is left will be 8/5 lb.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.
kai is using clay to make bowls. Each bowl uses 4/5 Ib of clay.
Kai has 2²/₅ Ib of clay.
Then the amount of clay that is left will be
⇒ 2²/₅ - 4/5
⇒ 12/5 - 4/5
⇒ (12 - 4) / 5
⇒ 8/5
The amount of clay that is left will be 8/5 lb.
More about the fraction number link is given below.
https://brainly.com/question/78672
#SPJ2
hello fabulous1a please be in comments i need an answer for this question please when you answer tell me which one you're answering
Answer:
1. The answer is 8
20-3-1= $16
$16/2=8
meaning they've only been on 8 games or rides
2. The answer is 17 miles. Every mile = $1 so that means they travelled 17 miles
first u subtract 5 from 22 which will equal 17
3. $0.25
first u add up all the money from each item and then subtract it by 12 and u will get 0.25
Nvm I can only do 1-3
Step-by-step explanation:
Robert manufactures dolls by hand. He sells them at $41.25,
but each one has a cost of $4.17 in materials. In addition, he
has to pay $935.84 monthly in other business expenses. This
year, Robert has sold 941 dolls. Which is the closest estimate
of Robert's net profits per month?
of the 505050 u.s. states, 444 have names that start with the letter \text{w}wstart text, w, end text. what percentage of u.s. states have names that start with the letter \text{w}wstart text, w, end text?
The required percentage of US states having their names starting with W is 8 %. This is gained by using the concept of percentage.
What do you mean by percentage?
The percentage is usually denoted by the symbol '%'. It is defined as the quantity or ratio which is being expressed in a fraction of 100, where 100 is the denominator.
Calculation of the percentage of US states having their names starting with W
Given:
Total states in US = 50
US states that start with the letter W = 4
Fraction in favour of the names of states starting with the letter W is given by = 4 / 50
Therefore the percentage of US states having their names starting with the letter W is equal to the fraction in favour * 100 %
= 4 / 50 * 100 %
= 4 * 2 %
= 8 %
Hence, the percentage of US states having their first letter as W is 8 %.
To learn more about percentages, visit here:
https://brainly.com/question/24877689
#SPJ4:
6. Write the following numbers in expanded exponential form:
a) 74009234 =
Answer:
74,009,234= 7^6+ 9^3+2^2+3^1+4^0
Step-by-step explanation:
14. Name three segments in this figure in order of length from shortest to longest.
A
B
C
15 Which property of multiplication is illustrated by this equation?
The three segments of Triangle is (1) 17 cm, 7 cm, 8 cm
Here, 17 > 7 + 8 or 17 > 15
In any triangle, the sum of the lengths of any two sides of a triangle is always greater than the third side.
Therefore, the triangle is not possible.
In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle. All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
To learn more about triangles from the given link:
brainly.com/question/2773823
#SPJ9
Hellpp asappp broooooo
what is the area of the parallelogram in square centimeters? show your work
The area of parallelogram is Base(B) × Height(H).
The quantity of square units that make up a polygon determines its area. Similar to a carpet or area rug, area is two dimensional.
A parallelogram is a four-sided structure made up of two parallel line pairs. The length of opposing sides and the magnitude of opposing angles are both equal. Multiply the base by the height to determine the area. The equation is:
A = B × H,
where B stands for base
H for height
A parallelogram must have a perpendicular base and height. A parallelogram's lateral sides aren't parallel to the base, though. As a result, the height is represented by a dotted line. Let's examine a few instances when the area of a parallelogram is involved.
To learn more about area of parallelogram from given link
https://brainly.com/question/10744696
#SPJ9
(50 POINTS)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Based on the figure on the graph, match the described transformations with the transformed figures.
reflected across the x-axis
rotated 180° clockwise
translated 9 units to the
right and 2 units down
reflected across the y-axis
The translations for this problem are given, respectively, by:
translated 9 units to the right and 2 units down.reflected across the x-axis.reflected across the y-axis.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For the first translation, the orientation remains the same, just the positions changes, hence it is translated 9 units to the right and 2 units down.
For the second translation, the rule applied to each vertex was:
(x,y) -> (x,-y).
Hence it was reflected across the x-axis.
For the third translation, the rule applied to each vertex was:
(x,y) -> (-x,y).
Hence it was reflected across the y-axis.
More can be learned about translations at https://brainly.com/question/4521517
#SPJ1
John and Pat drove from Seattle to Portland. They drove an average of 50 miles per hour and it took about 3 hours to get there. How far did they travel?
Answer:
150 miles
Step-by-step explanation:
50x3=150
Use words to write the following number: 504,327.001510512
504,327.001510512 will be written in words as Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.
We are given the number:
504,327.001510512
We have to write the given number in words.
We will do this by following the International Number System.
In mathematics, the international number system refers to a representation of numbers which are divided into periods and placed according to their place values. The periods in the international numeral system goes like ones, thousands, millions, billions, and so on.
So, we will write this number as:
Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.
Therefore, 504,327.001510512 will be written in words as Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.
Learn more about International Number System here:
https://brainly.com/question/17200227
#SPJ9
HRLP ASP U WILL GET BRAINLEST
Hello,
[tex]If \: A = \frac{1}{2} bh \: we \: have \: b = \frac{2A}{h} [/tex]
Given E(-2,4), F(-7,-4), G(-5,2),E(−2,4),F(−7,−4),G(−5,2), and H(x, -6). Find x such that EF∥GH.
Two lines are said to be parallel when slopes are same. If EF∥GH and E(−2,4),F(−7,−4),G(−5,2), and H(x, -6) then x is -3.
What are Parallel lines?Parallel lines are straight lines that never meet each other no matter how long we extend them.
Given;
G(-5,2),E(−2,4),F(−7,−4),G(−5,2), and H(x, -6).
Two lines are said to be parallel when slopes are same.
The equation of line passing through two points is y-y1=m(x-x1)
where m is the slope
The equation of line EF is
y-4=8/5(x+2)
Here slope is 8/5.
The equation of line GH is
y-2=-8/(x-2)(x+5)....*
As the two lines are parallel, the slopes must be equal.
In * the slope should be 8/5,so
x-2=-5
x=-3
Therefore the value of x is -3.
To learn more on Parallel lines click:
https://brainly.com/question/16701300
#SPJ1
Rewrite each sum in the form a(b+c) using the Distributive Property and the GCF.
12+ 20 =
36 +15=
24 +18=
20 +50=
6 +22=
60 + 25 =
Each sum using distributive property is given as follows:
1) 12+20= 3(4+5)
2) 36+15= 3(12+5)
3) 24+18= 6(4+3)
4) 20+50= 10(2+5)
5) 6+22= 2(3+11)
6) 60+25= 5(12+5)
Given, sum to be represented by distributive property.
1)
12+20= 3(4+5)
Factors of 12 = 2 × 2 × 3
Factors of 20 = 2 × 2 × 5
GCF of 12 and 20 = 4
Take 4 common from 12 and 20.
Representing in a(b+c) .
4(3+5)
2)
36+15= 3(12+5)
Factors of 36 = 2 × 2 × 3 × 3
Factors of 15 = 3 × 5
GCF of 36 and 15 = 3
Take 3 common from 36 and 15.
Representing in a(b+c) .
3(12+5)
3)
24+18= 6(4+3)
Factors of 24 = 2 × 2 × 2 × 3
Factors of 18 = 2 × 3 × 3
GCF of 24 and 18 = 4
Take 5 common from 24 and 18.
Representing in a(b+c) .
6(4+3)
4)
20+50= 10(2+5)
Factors of 50 = 2 × 5 × 5
Factors of 20 = 2 × 2 × 5
GCF of 50 and 20 = 10
Take 10 common from 50 and 20.
Representing in a(b+c) .
10(2+5)
5)
6+22= 2(3+11)
Factors of 22 = 2 × 11
Factors of 6 = 2 × 3
GCF of 22 and 6 = 2
Take 2 common from 22 and 6 .
Representing in a(b+c) .
2(3+11)
6)
60+25= 5(12+5)
Factors of 60 = 2 × 2 × 3 × 5
Factors of 25 = 5 × 5
GCF of 60 and 25 = 5
Take 5 common from 60 and 25.
Representing in a(b+c) .
5(12+5)
Know more about distributive property, here:
https://brainly.com/question/30321732
#SPJ7
Samuel wanted to rent a bike. The rental fee cost $10 dollars plus $5 for each hour. Part A. Write an expression to represent this scenario where h represents the number of hours. Part B. Write and solve an equation to determine how many hours Samuel can rent the bike if he has a $30 budget. Show your work.?
An expression to represents the Samuel wanted to rent a bike if rental fee cost $10 plus $5 for each hour is x=10 + 5h, he can rent the bike for 4hours with $30 budget.
As given,
Let x represents total rental cost
h represents number of hours
Rental fee=$10
Per hour fee=$5
Expression:
x=10 +5h
Budget x= $30
30=10 +5h
⇒ 5h=20
⇒h=4hours
Therefore, an expression to represents the Samuel wanted to rent a bike if rental fee cost $10 plus $5 for each hour is x=10 + 5h, he can rent the bike for 4hours with $30 budget.
Learn more about expression here
brainly.com/question/14083225
#SPJ1
A bag contains 3 blue chips, 7 red chips, 4 yellow chips, and 5 green chips. A chip is randomly drawn from the bag. Find probability.
P (yellow)
The probability, P (yellow), that a yellow chip is drawn from the bag is 4/19.
Probability is a term used in mathematics to determine the likelihood that an incident will take place as in this case is the likelihood that a yellow chip is drawn from the bag.
Probability can be given by the formula:
probability= Number of favorable outcomes ÷ Total number of possible outcomes
Hence, in this problem, the formula for probability will be:
P (yellow) = Number of yellow chips / Total number of chips in the bag
The total number of chips in the bag will be equal to the sum of the chips of all colors.
That is, total number of chips = 3 blue chips + 7 red chips + 4 yellow chips + 5 green chips
Total number of chips = 19 chips
So the probability of a yellow chip being drawn out will be:
P ( yellow) = 4/19
To learn more about probability, click here:
https://brainly.com/question/13604758
#SPJ4
Write the additive inverse of -7.
worth 20 points
Answer:
7
Step-by-step explanation:
a=additive inverse of -7
-7+a=0
-7+7+a=0+7 ==> add 7 on both sides to isolate 'a'
a=7
Select the correct answer.
What is the effect on the graph of f (x) = |z|when the function is changed to g(x) = |(z −1)|?
OA
SO B.
OC.
OD.
The graph is stretched vertically and shifted up 1 unit.
The graph is compressed horizontally and shifted down 1 unit.
The graph is stretched horizontally and shifted 1 unit to the right.
The graph is compressed vertically and shifted 1 unit to the left.
The graph of f (x) = |z| is changed to g(x) = |(z −1)| means; The graph is stretched horizontally and shifted 1 unit to the right.
What is the transformation of the graph?
Transformations simply takes the basic function and transforms it to another function.
The rules of transformation are;
f(x) transformed to f(x) + a means that the function will be moved 'a' units upwards.f(x) transformed to f(x) - a means that the function will be moved 'a' units downwards.f(x) transformed to f(x + a) means that the function will be moved 'a' units to the left.f(x) transformed to f(x - a) means that the function will be moved 'a' units to the rightNow, we are told the the graph of f (x) = |z| is changed to g(x) = |(z −1)|. This denotes a transformation of moving 1 unit to the right
Read more about Graph Transformations at; https://brainly.com/question/4289712
#SPJ1
Which expression is equivalent to 4(−3.7b − 3.1) − (4b + 0.4)?
18.8b + 2.7
−18.8b − 2.7
18.8b − 12.8
−18.8b − 12.8
Answer:
D. −18.8b−12.8
Step-by-step explanation:
4(−3.7b − 3.1) − (4b + 0.4)
Use distributive property.
4(−3.7b − 3.1) − (4b + 0.4)=
=−14.8b−12.4−4b−0.4
Combine like terms.
14.8b−12.4−4b−0.4=
=−18.8b−12.8
Hope this helps!
Please mark as brainliest if correct!
Answer:
D
Step-by-step explanation:
i had this question and got it right
The difference of 3 times a number and 12 is -24.
Write and solve an equation to find the number.
The equation formed for the expression "The difference of 3 times a number and 12 is -24", is 3x - 12 = - 24, which gives the number, x = -4.
In the question, we are asked to write and solve an equation to find the number, given that the difference between 3 times the number and 12 is -24.
We assume the number to be x.
The sentence given to us is the difference between 3 times the number and 12.
Three times the number is 3x.
The difference between 3 times the number and 12 can be shown as 3x - 12.
We are given that the difference between 3 times the number and 12 is -24.
This can be shown as 3x - 12 = - 24.
This is the required equation.
To solve this, we do the following steps:
3x - 12 = -24.
Adding 12 to both sides, we get:
3x - 12 + 12 = - 24 + 12,
or, 3x = -12.
Now, we divide both sides by 3, to get:
3x/3 = -12/3,
or, x = -4.
Thus, the equation formed for the expression "The difference of 3 times a number and 12 is -24", is 3x - 12 = - 24, which gives the number, x = -4.
Learn more about equations at
https://brainly.com/question/13106622
#SPJ9
Which pair of figures shows two shapes that each have opposite sides of equal length?
The box with rhombus and rectangle are the two shapes that each have opposite sides of equal length.
In the options given, the first box has a rhombus and a rectangle.
We know that a rhombus has all four sides of equal length.
This means that opposite sides are of equal length.
We also know that a rectangle has opposite sides of equal length.
In this option, both of them have opposite sides of equal length.
So, this is the correct answer.
The second box has a quadrilateral and a trapezoid.
The trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.
A quadrilateral is a two-dimensional shape that has 4 sides.
In this option, both shapes do not have opposite sides of equal length. So, this is not the right answer to the given question.
The third box has a trapezoid and a parallelogram.
A trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.
We know that a parallelogram has opposite sides of equal length.
In this option, one shape has opposite sides equal but not the other.
So, this is not the right answer to the given question.
The fourth box has a rhombus and trapezoid.
We know that a rhombus has all four sides of equal length.
This means that opposite sides are of equal length.
A trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.
In this option, one shape has opposite sides equal but not the other.
So, this is not the right answer to the given question.
Learn more at:
https://brainly.com/question/8823615
#SPJ9
What are numbers using exponents are called?
Answer:
The number that gets raised, or multiplied by itself, is called the base. The number of times it is multiplied is called the exponent. Together this is called power.