The population of a city is increasing at a rate of 4% each year. In 2020, there were. 236,000 people in the city.
What is population?A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study. Thus, any selection of individuals grouped by a common feature can be said to be a population.A sample may also refer to a statistically significant portion of a population, not an entire population. For this reason, a statistical analysis of a sample must report the approximate standard deviation, or standard error, of its results from the entire population. Only an analysis of an entire population would have no standard error.Given, In 2015, the population of the town decreased by 10%, so [tex]8250 x 10/100 = 825[/tex] people left the town, bringing the population down to [tex]8250 - 825 = 7425.[/tex]
From 2015 to 2020, the population increased by 15% so [tex]7425 x 15/100 = 1113.75[/tex] people came back to the town, bringing the population to [tex]7425+1113.75 = 8538.75[/tex]
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Simplify: [tex]\frac{-28cd^3}{-21bd^2}[/tex]
The answer is 4cd/3b
hope it's correct
What is the diameter of a circle with circumference 17.1cm? Give your answer to three significant figures.
Answer:
34.2
Step-by-step explanation:
10 Two cyclists are traveling along a track in the same direction. Their motions are described
by the linear equations d = 10t and d-8t= 2, where t hours is the time and d miles is the
distance from a point on the track.
b When will the cyclists meet?
Answer:
They will meet in 1 hour
Step-by-step explanation:
(1) d = 10t
(2) d - 8t = 2 rearrange this equation to: d = 8t + 2
Set equation (1) equal to equation (2):
10t = 8t + 2
Solve for t:
10t - 8t = 2
2t = 2
t = 2/2 = 1 hr
solve for x when c-b=1
Answer:
you need to give the question
Step-by-step explanation:
there is no question
HELP ASAP!!! PICTURE TO LOOK OFF OF
Approximate the correlation of the data shown below
Is Y 0 a horizontal line?
As per the following graph, if y = 0,then it makes the horizontal line on graph.
The term graph in math is defined as the visual representation of data or equation.
Here we have given that the value of y = 0.
Here we know that the slope of a horizontal line is zero while the slope of a vertical line is undefined.
Here the following Slopes represent a line's ratio of vertical change to horizontal change.
Whereas horizontal and vertical lines remain constant and never increase or decrease, they're merely straight lines.
Here we have also know that the Horizontal lines have no steepness at all.
Therefore if y=0 is the linear equation to denote the x - axis, then all the points on the x- axis, have their y co-ordinate as 0.
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
A) All positive real numbers.
Step-by-step explanation:
Money can only be real numbers/decimals
And because your adding it can't be negative.
Answer:
D
Step-by-step explanation:
This is a real world situation, meaning that there will be no negative amount if weeks, This rules out B and C. As all the numbers are whole, there is no reason for the answer to be all positive real numbers making the answer D.
Is 4 ÷ 1 positive or negative?
Answer: positive
Step-by-step explanation:
4/1=4
Answer:
Positive!
Step-by-step explanation:
4 ÷ 1 = 4 hope that helps!
9y -2x=1 solve for Y
Answer:
y = 1/9 + 2/9x
Step-by-step explanation:
9y - 2x = 1
9y = 1 + 2x (get rid of x)
y = 1/9 + 2/9x (divide 9 on both sides)
What is the inverse of 7 5?
The multiplicative inverse of 7/5 is 5/7 using the formula of multiplicative inverse like (x)^-1 which equals to 1/x.
let's try to learn what is multiplicative inverse.
1/N or [tex]N^-1[/tex] is used to denote a number's multiplicative inverse, such as the number N. From the Latin word "reciprocus," it is also known as reciprocal. Inverse refers to something that is the opposite. The acquired reciprocal of a number is such that its value equals identity 1 when multiplied by the original number. In other terms, it is a technique for producing identity 1 by diluting a number by itself, as in N/N = 1.
One is obtained when a number is multiplied by its own multiplicative inverse.
When a number is multiplied by its original number, the multiplicative inverse of that number, or x^-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2^-1 since it fulfils the formula: 2 x (2^-1) = 2 x (1/2) = 1.It is also known as a number's reciprocal.
Multiplicative inverse of 7/5 is (7/5)^-1 = 1/(7/5) = 5/7.
Given question is incomplete complete question here:
What is the multiplicative inverse of 7/5?
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Solve the Linear system by using substitution.
y= -3x -1
4x+3y=2
The solution for the given system of equations is (-1, 2).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of linear equations are y=-3x-1 ------(I) and 4x+3y=2 ------(II).
Substitute y=-3x-1 in equation (II), we get
4x+3(-3x-1)=2
4x-9x-3=2
-5x=5
x=-1
Substitute x=-1 in equation (I), we get
y=-3(-1)-1
y=2
Therefore, the solution for the given system of equations is (-1, 2).
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PLS HELP I WILL GIVE BRAINLIEST TO THE BEST CORRECT ANSWER
Answer:
Step-by-step explanation:80085
Answer:
Graph 1: No
Graph 2: No
Graph 3: No
Graph 4: Yes
Graph 5: No
Graph 6: Yes
Step-by-step explanation: To figure out whether a graph is a function, you need to give each graph a Vertical Line Test. All you need to do is see if more than one point is on the same line whenever a vertical line is placed. If there is more than one point on any vertical line that you drew, it's not a function.
Hope this helps! :)
Please help!!! in need of help, will mark brainliest!
Answer:
minimum value : -1
Step-by-step explanation:
y= 2x^2- |0x+1|
y=2x^2-1
0x has no value they're just putting that in there to trip you up. Also you can view the graph on Desmos graphing calc online to see the minimum value of this function.
x is positive so parabola opens up: meaning minimum value
y-intercept is (0, - 1) so minimum value = -1
28. Anael cut several boards to build a deck.
The boards must be 100 in. ± 0.25 in. Her
measurements of the boards after cutting
them are shown in the graph. Which boards,
if any, can she not use?
Anael can not use the fourth board measurement. This can be solved by using the concept of inch scale.
What is inch scale?A centimeter is smaller than an inch. On the other side of the centimeter ruler, inches are denoted by the large, continuous hash marks that are inscribed above the digits. On a ruler, the inch is the largest unit and is denoted by the longest line. There is a number next to each 1-inch line on the ruler that designates.
Since the international yard was adopted in the 1950's and 1960's, standards for the precise length of an inch have fluctuated, but the inch is now based on the metric system and is defined as precisely 25.4 mm.
The question given here,
the first board measurement: [tex]99\frac{3}{4} =[/tex] 99 inch ± 0.75 inch
the second board measurement: [tex]99\frac{7}{8} =[/tex] 99 inch ± 0.875 inch
the third board measurement: [tex]100\frac{1}{6} =[/tex] 100 inch ± 0.16 inch
the fourth board measurement: [tex]100\frac{5}{16} =[/tex] 100 inch ± 0.3125 inch
the fifth board measurement: [tex]99\frac{13}{16} =[/tex] 99 inch ± 0.8125 inch
Thus, Anael can not use the fourth board measurement.
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Pls help and round to the nearest 0.01
Answer:
Step-by-step explanation:
SA for a sphere = 4pi(radius)^2
V for a sphere = 4/3pi(radius)^3
A golf ball is a sphere and its radiusm is 1.68/2 = 0.84 in.
So SA = 4pi(0.84)^2 = 8.87 in^2
V = 4/3pi(0.84)^3 = 2.48 in^3
What is the x-coordinate of the solution to the system of
linear equations?
x = 3y - 8
2x + 26 = y
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Cara randomly chose a date in the month of
June then a letter in the word MATHLETE.
What is the probability she got a date that is
a multiple of 5, followed by a vowel?
A. 13/48
B. 3/10
C. 5/24
D. 3/40
Answer: D. 3/40
Step-by-step explanation:
There is a 6/30 chance that Cara got a date that was a multiple of 5 since there are 6 multiples of 5 in a matter of the 30 days of June (5, 10, 15, 20, 25, 30). There is also a 3/8 chance that she will chose a vowel in the word MATHLETE since there are 3 vowels within these 8 letters (A, E, E). With this information, you must multiply the fractions of 6/30 and 3/8 together in order to find the probability of chosing both a multile of 5 as well as a vowel. This can be done by multiplying the numerators together and the denonimators together and then simplifying the fraction to receive an answer of 3/40.
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Jessica took out a loan from the bank at a simple interest rate of 4%. After making payments for three years, she paid a total of $840 in interest. What was the principal, or original amount of money, of Jessica’s loan?
$___
Answer:
$7000
Step-by-step explanation:
1. Approach
To solve this problem, one must first find the amount of interest paid in (1) year, then set up a proportion to find out the amount of money that was taken out in the loan. It is given that the interest rate is (4%), and the interest paid after (3) years is ($840).
2.Find the amount paid in 1 year
First, one must find the interest paid in (1) year, this can be done by dividing the interest paid in (3) years by (3).
840 ÷ 3 = 280
3.Find the original amount in the loan
Now set up the proportion, remember, the general format for a proportion is the following,
[tex]\frac{part}{whole}=\frac{percent}{100}[/tex]
Substitute in the given parameters,
[tex]\frac{intereset}{loan}=\frac{rate}{100}[/tex]
Substitute in the values of the parameters,
[tex]\frac{280}{loan}=\frac{4}{100}[/tex]
Cross products,
[tex]28000=4(loan)[/tex]
Inverse operations,
[tex]7000=loan[/tex]
Maurice finished 12/25 of his book. He says he is more than halfway done with his book. Is he correct or incorrect? Explain.
Answer:
He is incorrect. If you want 12 to be half of the book the other number would have to be twenty four.
Answer:
incorrect
Step-by-step explanation:
it has to be 12.5 to be exactly half way done with it
2. A square playground has a side which measures 40 metres. What is its area?
The area of a square playground which has a side measures 40metres would be 100[tex]m^2[/tex].
How to calculate area?step1
Perimeter of square = 40m
We have given that perimeter of square is 40m. To find its area, we have to calculate its side first.
Perimeter of square = 4× side
Substituting values in formula
Area of square = 4 × side
=> 40 = 4 × side
=> side = 40÷4
=> side = 10m
Side of square is 10m.
step 2
Calculating area of square :
We found that side of square is 10m. To find it area, required formula is:
Area of square = (side)²
To find area, substitute values in formula :-
Substituting values in formula :-
Area of square = (side)²
=> Area of square = (10)²
=> Area of square = 10 × 10
=> Area of square = 100m
so if the perimeter of square is 40m then the area is 100m.
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Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. -2 1 1 - 4 3 4 ; 2 = -1,4 -2 2 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For P=___ D= 0 4 0 0 0 4 -1 0 0 O B. For Pa = ___ D = 0 -1 0 0 04 OC. O The matrix cannot be diagonalized.
The correct answer is option A. For P= -1/2 0 1/2 1/2 0 -1/2 0 0 1 D= 0 4 0 0 0 4 -1 0 0. The matrix can be diagonalized using the eigenvectors.
To diagonalize the matrix, the eigenvectors must be found first. The eigenvectors can be found by solving the characteristic equation and finding the eigenvalues. The eigenvalues of the matrix are 2 and -1. The eigenvectors associated with each eigenvalue are determined by solving the eigenvalue equation.
The eigenvectors for the matrix are [1, -2], [1, 2], [1, 0], and [0, 1]. After the eigenvectors are found, the matrix can be diagonalized by constructing the transformation matrix P. The transformation matrix P is composed of the normalized eigenvectors. The transformation matrix P is: P=[-1/2, 0, 1/2, 1/2, 0, -1/2, 0, 0, 1], and the diagonal matrix D is composed of the eigenvalues.
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Can anyone help with the answer
The height of the tree to the nearest hundredth of metres is 2.03 metres.
How to find the height of a tree?Emily is 1.65 metres tall. At 3 pm she measure the length of a tree's shadow to be 28.15 metres . She stands 22.9 metres away from the tree, so that the tip of her shadow meet the tip of the tree shadow.
Therefore, the height of the tree to the nearest hundredth of metres can be calculated as follows:
using proportion,
let
x = height of the tree
Therefore,
1.65 / 22.9 = x / 28.15
cross multiply
28.15 × 1.65 = 22.9 × x
22.9x = 46.4475
divide both sides by 22.9
x = 46.4475 / 22.9
x = 2.02827510917
x = 2.03 metres
Therefore,
height of tree = 2.03 metres
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If a rectangle with dimensions 14cm X 20cm is reduced by a scale factor of 2.5, what would be the measure of the new perimeter?
Answer:
27.2 cm
Step-by-step explanation:
14 cm / 2.5 = 5.6 cm, and
20 cm / 2.5 = 8 cm.
Then the new perimeter would be P = 2L + 2W, or, in this case:
P = 2(8 cm) + 2(5.6 cm) = 27.2 cm
4. Which of these is NOT involved in proving the converse of the Pythagorean theorem?
Ocollecting like terms and applying the distributive property
substitution and construction
congruent triangles
substitution and contradiction
The option that is not involved in proving the converse of the Pythagorean theorem is D. substitution and contradiction
What is a Pythagoras theoremA right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse.
The converse of Pythagoras' Theorem states that a triangle must have a right angle if the square of one side equals the sum of the squares of the other two sides.
In this case, contradiction isn't involved. The correct option is D.
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Please answer the 4th and 6th one
Answer:
5
Step-by-step explanation:
0-6x will be -6x if we divide that six then we will get -30/-6 since minus gets cancelled we will be left with 5
A line is drawn through (-4, 3) and (4,3). Which describes whether or not the line represents a direct variation?
The line represents a direct variation because - -
The line represents a direct variation because it is horizontal.
The line does not represent a direct variation because it does not go through the origin.
The line does not represent a direct variation because 4(3) = 4(3).
Answer:
The line does not represent a direct variation because it does not go through the origin.
Write the expression. Then, check all that apply.
six times the sum of nine and a number
A 2-column table with 5 rows. Column 1 is labeled Key Words with entries six, times, the sum of, nine, a number. Column 2 is labeled Replace with entries 6, times, (+), 9, n.
Replace “a number” with the variable, n.
The two operations are multiplication and addition.
The two operations are multiplication and subtraction.
The constants are 6 and 9.
The expression is written as 6n + 9.
The expression is written as 6(9 + n).
Answer:
A , B , D , F
Step-by-step explanation:
Answer:
a. Replace "a number" with the variable, n.
b. The two operations are multiplication and addition.
d. The constants are 6 and 9.
f. The expression is written as 6(9 + n).
Step-by-step explanation:
quadratic expression x² +6x +5
Answer:
if its for factor, we have (x+1)(x+5), if its for formula, its x=-1, -5
Step-by-step explanation:
Melanie bought a soft drink for 4 dollars and 5 candy bars. She spent a total of 29 dollars. How much did each candy bar cost? What is the equation for the problem?
Answer: Each candy bar cost's $5
Step-by-step explanation:
Equation is 4+ 5x=29
-4 -4 which makes it
5x= 25 then you divide by 5
which makes it x=5 so it costs 5 $ per candy bar
What are 2 examples of a solution?
The two examples of the solution are sugar water, and soda water.
The term solution is defined as a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm.
Here according to the definition of solution, here we know that Common examples of solutions are sugar in water and salt in water solutions, soda water, etc.
As we all know that the solutions have two components, one is solvent and the other is solute.
Here the components, that is the component that dissolves the other component is called the solvent where as the component(s) that is/are dissolved in the solvent is/are called solute(s).
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