The extreme drop can be said to most likely represent: b. A reflection of the migratory nature of the birds at the lake.
What is Bird Migration?Bird migration is a natural process which can be described as a the movement of different birds by flight across thousands of kilometers in search of ecological conditions and habitats that favors breeding, feeding, and raising of their young.
Migratory birds have well built physiology and morphology that make them better equip to fly fast and across long distances in search of the best ecological conditions, which is dependent on seasons.
Like in the graph given, like we see that at the beginning of January, number of birds were few in the lake until sudden increase occurred. It can be said that during those period of increase, the ecological conditions favored the survival of the bird until November and December. This extreme drop can be said to most likely represent: b. A reflection of the migratory nature of the birds at the lake.
Learn more about migratory birds on:
https://brainly.com/question/9386045
#SPJ1
d) Calculate the profit for each given value of x and y using the profit equation and record each
amount in the shaded cells of the table.
1000
900
yo
700
600
500
400
300
200
100
0
0
x
100
200
300
400
X=
500
600
700
800
900
XI
1000
As a result, the answer to the provided equation problem is 1.39500 profit and 2.400 loss.
What is equation?A mathematical equation is a formula that joins two statements by employing the equal symbol (=) to indicate equality. In algebra, a statement demonstrating the equality between two mathematical equations is known as an equation. For example, the equation 5x + 5 = 14 puts an equation between both the two numbers. Between the sentences along either side of a letter, a mathematical relationship is constructed. Typically, the symbol acts as both the sole variable and the lone determinant. As an illustration, 8x - 4 = 2.
Here,
A C number of vehicles
Monthly expenses are subtracted from total monthly income to determine profit.
=> (25-6)C - (23500-6000) (23500-6000) (23500-6000)
=> P = 19C-17500
3000 autos need to be maintained,
Earnings are 19(3000)-17500.
Gain: $39500
If 900 automobiles are received in a given month, a profit or loss will result.
Earnings are 19(900)-17500.
Gain: -400.
Yes, a loss.
The solution to the given equation's issue is thus 1.39500 profit and 2.400 loss.
To know more about equation visit:
brainly.com/question/649785
#SPJ1
What is the rectangle of CDEF rotation of 270° clockwise around the origin
The graph of the image of the rectangle DEFG after 270° rotation counterclockwise is created using Microsoft Word and included here in the exercise
What are the vertices' coordinates?A pair of numbers called coordinates can be used to determine the position of a point or shape in a two-dimensional plane. A point's position on a 2D plane is described using the phrases "x-coordinate" and "y-coordinate."
A specific point on a grid, also known as a coordinate plane, is identified by coordinates, a pair of numbers (also known as Cartesian coordinates), or sporadically a letter and a number. The two axes of a coordinate plane, which has four quadrants, are the x (horizontal) and y (vertical) axes (vertical).
To find a point's coordinates in a coordinate system, perform the opposite.
Starting at the point, slide up or down a vertical line until you reach the x-axis. It's where your x-coordinate is.
Repeat the preceding procedures while adhering to a horizontal line to obtain the y-coordinate. The x and y coordinates can be used to find a location on the coordinate axes. The x and y coordinates of two points can be used to determine their separation. Using the x and y coordinates for two points simplifies the process of determining a line's slope.
The coordinates of the vertices of the rectangle DEFG are;
D(7, 8), E(10, 8), F(10, 9), G(7, 9)
A rotation of 270° counterclockwise about the origin gives;
Point of preimage = (x, y), point of image after the rotation = (y, -x)
The preimage point D(7, 8) has the image point as D'(8, -7) after the 270° CCW rotation
Similarly, after the 270°CCW rotation, we have;
The preimage point E(10, 8) has an image at E'(8, -10)
The preimage point F(10, 9) has an image at F'(9, -10)
The preimage point G(7, 9) has an image at G'(9, -7)
The graph of the image of the rectangle DEFG after 270° rotation counterclockwise is created using Microsoft Word and included here in the exercise
The complete question is,
Graph the image of rectangle DEFG after a rotation 270° counterclockwise around the origin
To learn more about coordinates of vertices refer to:
brainly.com/question/19131248
#SPJ1
Why do we use horizontal line test?
The horizontal line test is used to determine if a given function is one-to-one, which means that for every unique x-value, there is a unique y-value.
A function that is one-to-one can be inverted, meaning that it has an inverse function. Inverse functions are important in many areas of mathematics, such as solving equations, finding derivatives, and studying geometric transformations.
The horizontal line test is used because it provides a simple and easy way to determine if a function is one-to-one without having to solve for the inverse function. By drawing a horizontal line through the graph of a function and seeing if the line intersects the graph at most once, it is possible to determine if the function is one-to-one without the need for complex calculations or algebraic manipulations.
Another reason is that the horizontal line test can be applied to functions that are defined on a closed interval or on all real numbers and it is a visual way to understand if a function is one-to-one.
In conclusion, the horizontal line test is used to determine if a given function is one-to-one, which is important because one-to-one functions can be inverted.
The test is simple and easy to apply, and it provides a visual way to understand if a function is one-to-one without the need for complex calculations or algebraic manipulations. It can be applied to functions that are defined on a closed interval or on all real numbers.
Learn more about horizontal line test at
brainly.com/question/28583968
#SPJ4
Which graph represents this function?
f(x) = 2√x - 1
The fourth graph (the right graph in the bottom row) is discovered to represent the function f using translation notions (x).
What is a translation?A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.
In terms of operations like multiplication or sum/subtraction in its definition, a translation is represented as a change in the function graph.
has a vertex at the origin and [tex]$f(x)=\sqrt{x}$[/tex] is the parent function.
In this issue, the translated function is [tex]$f(x)=2 \sqrt{x+1}$[/tex] It was left 1 unit relocated and vertically stretched by a factor of 2 units, resulting in a new vertex position of (0,-1).
As a result, the fourth graph, on the right side of the bottom row, represents the function f. (x).
To learn more about translation refer to:
https://brainly.com/question/1046778
#SPJ1
(-5.5 divided by 1/4) + ( 2 1/2 - 3.8)
Given the graph and the table, which statement is true? Please explain why you chose this answer. I will mark you brainliest!
The daily increase in Mrs. Miller's daily class is $2 more than it is in Mr. Taylor's class.
Option D is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
Mr. Taylor:
The coordinates from the graph.
(1, 10), ), (2, 20), (3, 30)
The rate of change.
= (20 - 10) / (2 - 1)
= 10
This means,
Each day the amount is increased by $10.
Mrs. Miller:
From the table,
(3, 24), (5, 60)
Rate of change.
= (60 - 24) / (5 - 3)
= 36 / 2
= 12
This means,
Each day the amount is increased by $12.
Thus,
Mrs. Miller's daily increase is $12.
Mr. Taylor's daily increase is $10.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ1
Use the Triangle Sum Theorem to find the measure of each angle. Drag and drop the angle measures into the correct boxes to show the measure of each angle.
Each angle is 53 degrees, 32 degrees, and 95 degrees.
What is triangle?A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees. A triangle is a three-sided polygon with three vertices. The angle produced within the triangle is 180 degrees. It signifies that the total of a triangle's internal angles equals 180°.
Here,
The sum of angles of triangle is 180 degrees.
4x+5+7x+11+2x+8=180
13x+24=180
13x=156
x=12
T=4x+5
=4*12+5
=53 degree
U=2x+8
=2*12+8
=32 degree
V=7x+11
=7*12+11
=95 degree
The measure of each angle is 53 degree, 32 degree and 95 degree.
To know more about triangle,
https://brainly.com/question/28600396
#SPJ1
If crytal room meaure 10. 5 ft long and 7 feet wide and 9 feet tall how much paint will be needed to paint her bedroom
Assuming that the walls of the room are 8 feet tall, and that you need one gallon of paint for every 400 square feet of wall space, then you would need 5.125 gallons of paint to paint the walls of the room.
1. Calculate the square footage of the walls:
10.5ft x 7ft x 2 (sides of walls) = 147 sq. ft
2. Divide the total wall square footage by the coverage area of the paint (400 sq. ft.):
147 sq. ft. ÷ 400 sq. ft. = 0.36 gallons
3. Add 10% extra paint for wastage:
0.36 gallons x 1.1 = 0.396 gallons
4. Round up to the nearest gallon:
0.396 gallons = 0.4 gallons
5. Multiply the gallon of paint by 4 (4 walls):
0.4 gallons x 4 = 1.6 gallons
6. Round up to the nearest gallon:
1.6 gallons = 2 gallons
Hence, you would need 5.125 gallons of paint to paint the walls of the room.
learn more about gallon here
https://brainly.com/question/19638640
#SPJ4
Which quantity is proportional to 35⁄80?
Check all that are true.
26⁄52
7⁄16
14⁄36
3⁄5
21⁄48
The fraction number 35 / 80 equivalent to the fraction numbers will be 7 / 16 and 21 / 48. Then the correct options are C and E.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The fraction number is given below.
⇒ 35 / 80
⇒ 7 / 16
⇒ 21 / 48
The fraction number 35 / 80 equivalent to the fraction numbers will be 7 / 16 and 21 / 48. Then the correct options are C and E.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ1
If the mug cost $6 last year and the price increased by 25%, how much did the mug cost this year?
Answer:
$6.36
Step-by-step explanation:
6 x 1.06 = 6.36
A bag ha 16 blue, 20 red, and 24 green marble. What fraction of the marble in the bag are blue?
Repone
151 fifth
The fraction of the marble in the bag are blue is 4/15
The term fraction can be found by dividing part of a whole by the whole. Here the example if 2 students out of a total of 4 are picked, then the part is 2 and the whole is 4 while the fraction is 2 by 4.
Here we have given that a bag has 16 blue, 20 red, and 24 green marbles.
And we need to find the fraction of the marbles in the bag are blue
While looking into the given question, we have identified that the number of blue marbles is 16.
And the total number of marbles is calculated by adding the number of each marbles, then we get,
=> 16 + 20 + 24 = 60.
Here we know the the resulting fraction is obtained by the number of blue marbles out of the total marbles is,
Then it can be written as
=> 16/60
When we simplify this one then we get,
=> 4/15
To know more about Fraction here.
https://brainly.com/question/10354322
#SPJ4
What are 10 examples of a solution?
A homogeneous mixture with two or more substances is called a solution. Household remedies frequently take the form of substances that have been dissolved in water, like juice concentrate.
Define the term solution and its examples?Solutions are any mixtures of substances that have been dissolved.
A solution can be diluted by adding more solvent or by removing solutes. You can concentrate it by removing solvent or adding more solutes.
The following are some illustrations of simple fixes:.
tea or coffee.(Sugar added to solution) Sweet tea or coffee.any juice.saltwater.bleach is a solution of sodium hypochlorite in water.Dishwater is soapy water with dissolved soap.carbonated drinks (sodas have a fizz from carbon dioxide dissolved in water).powdered beverages.salt in water solutions.soda water,To know more about the solution, here
https://brainly.com/question/19587902
#SPJ4
(3x-2)(-x^2-10x-7)
(3x−2)(−x
2
−10x−7)
Answer: -3x^3-28x^2-x+14
Step-by-step explanation:
(3x-2)(-x^2-10x-7)
1: We would usually use the FOIL method, but since we don't have binomials we are going to start with the first number in our problem.
3x x -x^2=-3x^3
3x x -10x= -30x^2
3x x -7= -21x
-2 x -x^2=2x^2
-2 x -10x= 20x
-2 x -7=14
2. Add like terms
-3x^3-28x^2-x+14
The cost per night at a hotel can be modeled with an exponential function. The cost per night when the hotel opened was $100 and has been increasing by 5% every year since the hotel opened.
Therefore , the solution of the given problem of function comes out to be the cost of every month is $5 ( 5%) dollar increases every month.
What is the formula for an exponential function?The exponential distribution frequently addresses the elapsed time before a particular event. Consider the exponential distribution of the time (starting right now) before an earthquake happens. Other examples include how long long-distance business calls last (in minutes) and how long an automobile battery lasts (in months).
Here,
Given data :
f(x) = ax,
5% is greater than I growth
$100 = 100 %
After one month =
$105 = 105 %
so $5 ( 5%) dollar increases every month
Therefore , the solution of the given problem of function comes out to be the cost of every month is $5 ( 5%) dollar increases every month.
To learn more about exponential function refer to ;
brainly.com/question/2456547
#SPJ1
The complete question is "An exponential function can be used to simulate the price each night at a hotel. The price per night was $100 when the hotel first opened, and it has been rising by 5% annually since then. find the value of interest."
What are the 2 coordinate systems?
The two main types of coordinate systems used in mathematics and physics are Cartesian and Polar Coordinates.
What is coordinates system?A coordinate system is a system used to identify and locate a point in space. It is the basis for maps, navigation and surveying. Coordinate systems can be two-dimensional or three-dimensional, and can use a variety of units such as latitude, longitude, and feet. Coordinate systems are used in a variety of fields such as engineering, architecture, geology, and navigation. Coordinate systems help to identify and locate points in space and are essential for charting and mapping the physical world.
Cartesian Coordinates, named after the French mathematician and philosopher René Descartes, use a two-dimensional plane to represent points with an x-axis and a y-axis. These coordinates are expressed as ordered pairs (x,y) and represent points in relation to the origin (0,0). This can be used to plot graphs and equations, and is the most commonly used coordinate system.
Polar Coordinates are based on a two-dimensional plane centered on a pole. Points are expressed as ordered pairs (r,θ) where r is the distance from the pole and θ is the angle from the polar axis. This coordinate system is useful for finding distances and angles in a circle. It is used frequently in physics and astronomy.
To know more about coordinates system click-
https://brainly.com/question/27481419
#SPJ4
At a hockey game, a vender sold a combined total of 220 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
The number of sodas sold was three times the number of hot dogs sold, so if we set up an equation, it would be 3x + x = 220, where x is the number of hot dogs sold. To solve this equation, we can subtract x from both sides, leaving us with 2x = 220. Then, we can divide both sides by 2, leaving us with x = 110. This means that 110 hot dogs were sold and 3x = 330 sodas were sold.
A bicycle wheel has a radius of 28 cm. what is the circumference of the wheel?
Answer:
176 cm
Step-by-step explanation:
You want the circumference of a wheel with a radius of 28 cm.
CircumferenceThe circumference of a circle is given by ...
C = 2πr
For r = 28 cm, this is ...
C = 2π(28 cm) = 56π cm ≈ 176 cm
The circumference of the wheel is 56π cm, about 176 cm.
<95141404393>
The ratio of red to blue counters is 3: 5. The ratio of blue to yellow counters is
3: 8. What is the ratio of red to yellow counters?
Answer: 3 : 8
Step-by-step explanation:
red to blue is 3 : 5
blue to yellow is 3 : 8
red to yellow is 3 : 8
Find the solution to the system of equations.
Answer:
(-4,-2)
Step-by-step explanation:
To solve this system of equations, we can substitute the expression for y in the second equation:
5x + 2(x+2) = -24
We can then simplify and solve for x:
5x + 2x + 4 = -24
7x = -28
x = -4
We can then substitute this value of x back into the first equation to find the value of y:
y = -4 + 2
y = -2
So the solution of the system of equations is (x, y) = (-4, -2)
Evaluate the expression for the given value of the variables.
0.5c−1.5d
c=17, d=3
HELP DUE IN 20 MIN
Answer:
4
Step-by-step explanation:
Step 1:
Substitute:
0.5(17)-1.5(3)
Step 2:
Multiply:
8.5-4.5
Step 3:
Subtract:
4
The table gives a partial set of values of a polynomial h(x), which has a leading coefficient of 1.
h(x)
If every x-intercept of h(x) is shown in the table and has a multiplicity of one, what is the equation of the polynomial function?
The polynomial with the given zeros can be written as:
p(x) = x^3 + 4x^2 + x - 6
How to get the equation of the polynomial?If a polynomial has a leading coefficient a and the N zeros {x₁, x₂, ...} then we can write the polynomial as:
p(x) = a*(x - x₁)*(x - x₂)*...
Here we know that the leading coefficient is 1, and the zeros are:
{-3, -2, 1}
Then the polynomial is:
p(x) = (x + 3)*(x + 2)*(x - 1)
p(x) = (x^2 + 5x + 6)*(x - 1)
p(x) = x^3 - x^2 + 5x^2 - 5x + 6x - 6
p(x) = x^3 + 4x^2 + x - 6
Learn more about polynomials at:
https://brainly.com/question/4142886
#SPJ1
ellie had a package of 15 candies. after opening it, she found there were 13 candies that were not green. If she opened three more packages of candies, how many green candies could expect in total?
Functions: End Unit Task
WN
1. Function w gives the weight of my cat, in kilograms, when it is m months old. Pevie
Which statement represents the meaning of the equation w(7) = 4 in this situati
My cat weighs 7 kilograms when it is 4 months old.
My cat weighs 4 kilograms when it is 7 months old.
The weight of my cat has been 7 kilograms for 4 months.
My cat weighed 4 kilograms when it is 7 years old.
a.
b.
C.
Illus
Ma
d.
Therefore, the appropriate response for function problem is Option B) This cat weighs 4 kilos at 7 months of age.
What is meant by the word function?A science called mathematics studies numbers, its variations, arithmetic and the local tissue, shapes, and both their existing and projected places. The relationship between a group of inputs, which each have a corresponding output, is described by a function. A function is a collection of inputs that together produce a single variable, recognizable output with each input. A city, municipality, or scope—often referred to as a realm—is assigned to each function. Usually, the letter f is used to represent functions (x).
Here,
When the cat is m months old, w provides the cat's weight in kg.
the meaning of w(7) = 4 must be determined.
We already know that w represents weight in kilos.
When we enter the age in years, it returns the weight, which is what we consider to be the input.
W(7) stands for the weight of the cat at 7 months old.
where w(7) = 4 denotes the cat's weight at 7 months old, which is 4 kilograms.
Therefore, the appropriate response is Option B) This cat weighs 4 kilos at 7 months of age.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
Even pound of fertilizer can cover 1400 quare feet how many quare feet can be covered by 2 pound of fetilizer
If seven pound of fertilizer can cover 1400 square feet, 2 pounds of fertilizer can cover 400 square feet.
Therefore the answer is 400 square feet.
If seven pounds of fertilizer can cover 1400 square feet, we can set up the following proportion:
7 pounds / 1400 square feet = x pounds / y square feet
So y square feet = ( x pounds × 1400 square feet) / 7 pounds
To find out how many square feet can be covered by 2 pounds of fertilizer, we can solve for y by substituting in 2 for x:
y square feet = ( 2 pounds × 1400 square feet) / 7 pounds
y square feet = 2 × 1400 / 7
y square feet = 2800 / 7
y square feet = 400
So 2 pounds of fertilizer can cover 400 square feet.
--The question is incomplete, complete question is given below--
"Seven pound of fertilizer can cover 1400 square feet. How many square feet can be covered by 2 pound of fertilizer?"
To know more on ratio or proportion problems
https://brainly.com/question/13265032
#SPJ4
Sheila Blige worked her regular 40 hours last week plus 8 hours overtime at the
time and a half rate. Her gross pay was $884.00. What is her hourly rate?
The hourly rate of Sheila Blige if she worked for 40 regular hours and 8 overtime hours and paid a gross of $884.00 is $17
How to determine the hourly rate?Total regular hours worked = 40
Total overtime hours worked = 8
Total gross pay = $884.00
Let
Hourly rate = x
Overtime rate = 1.5x
So,
40x + 8(1.5x) = 884
40x + 12x = 884
52x = 884
divide both sides by 52
x = 884 / 52
x = $17
Therefore,
Hourly rate = x
= $17
Overtime rate = 1.5x
= 1.5(17)
= $25.5
Read more on gross pay:
https://brainly.com/question/13793671
#SPJ1
1. The price of a car that was bought for $10,000 and has depreciated 10% yearly. Find the price of the car
8 years later.
2. The equation for the price of a baseball card that was bought for 5 dollars and has appreciated 5% yearly. Find the value of the card 25 years later.
1 . Price of car 8 years later is $4305.
The price of a car that was bought for $10,000 and has depreciated 10% yearly can be calculated by multiplying the original price of the car ($10,000) by (1 - 0.10) raised to the power of the number of years (8). It means the car will lose 10% of its value each year for 8 years. Therefore, the price of the car 8 years later would be $4304.67. This is the final amount after 8 years of deprecation on the original price of the car.
2. The yearly value of the card 25 years later is $16.93 and equation of price is given by 5 * (1 + 0.05)^t where t is time.
The formula used to calculate the future value of an item that appreciates at a certain annual rate is called compounding. In this case, the baseball card was bought for $5 and has appreciated at a rate of 5% per year. The formula used to find the value of the card 25 years later is "Price = initial value * (1 + interest rate)^number of years". Plugging in the given values, we get: "Price = 5 * (1 + 0.05)^25"
Price=5(1+0.05)^25
Price=5(1.05)^25
Price=16.93
so the final price of baseball is $16.93
To know more about equation click below:
https://brainly.com/question/29514785#
#SPJ4
What are the solutions of quadratic inequality X² 3x 2 ⤠0?
The solution of the quadratic inequality x² - 3x + 2 < 0 is 1 < x < 2
Standard form of a quadratic equation is:
ax² + bx + c = 0
If we change the equal sign '=' to inequality signs <, >, ≤ , ≥ , then it becomes a quadratic inequality.
To solve a quadratic inequality, first find its roots or the solution of its corresponding quadratic equation. Then, evaluate the signs around the roots.
The given quadratic inequality is:
x² - 3x + 2 < 0
First we find the roots by solving the corresponding quadratic equation:
x² - 3x + 2 = 0
(x - 1) (x - 2) = 0
x = 1 or x = 2
Now, since the coefficient of x² is positive, it means the graph of f(x) = x² - 3x + 2 opens upward. The function intercepts x-axis at x = 1 and x = 2, it means that f(x) < 0 at the interval 1 < x < 2.
Hence, the solution is 1 < x < 2
Your question is incomplete, but most likely your question was:
What are the solutions of quadratic inequality x² - 3x + 2 < 0 ?
Learn more about quadratic inequality here:
https://brainly.com/question/29864637
#SPJ4
1. A restaurant sells large and small submarine
sandwiches. Rolls for the sandwiches are ordered
from a baker. The roll for a large sandwich costs
$0.25 and the roll for a small sandwich costs
$0.15. Melissa, the manager of the restaurant,
ordered 130 more large rolls than small rolls.
What was the greatest number of large rolls she
received if she spent less than $63 show your work
The greatest number of rolls that Melissa received if she spent less than $63 is 206.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Cost for a large sandwich roll = $0.25
Cost for a small sandwich roll = $0.15
Let x be the number of small rolls that Melissa ordered.
Then number of large rolls she ordered = x + 130
Total cost for the rolls = 0.25(x + 130) + 0.15x
Melissa spent less than $63.
0.25(x + 130) + 0.15x < 63
(0.25x) + (0.25 × 130) + 0.15x < 63
0.4x + 32.5 < 63
0.4x < 30.5
x < 76.25 ≈ 76
Number of small rolls she ordered maximum is 76.
Number of large rolls she ordered is 76 + 130 = 206
Hence Melissa ordered 206 large rolls at maximum.
Learn more about Linear Inequalities here :
https://brainly.com/question/11897796
#SPJ1
A middle school keeps track of the school's population. In 2016, the school population was 1500 students. In 2017, the student population had increased by 8%. What was the schools population in 2017?
Answer:
78 that he added
Step-by-step explanation: not needed
The school's population in the year 2017 is given by the equation A = 1620
What is an Equation?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.
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 data ,
Let the school's population in 2017 be represented as A
Now , the equation will be
The school's population in 2016 = 1500 students
The percentage of increase in population = 8 %
So , school's population in 2017 A = school's population in 2016 + ( 8/100 ) x school's population in 2016
Substituting the values in the equation , we get
The school's population in 2017 A = 1500 + ( 0.08 x 1500 )
On simplifying the equation , we get
The school's population in 2017 A = 1500 + 120
The school's population in 2017 A = 1620 students
Hence , the population is 1620 students
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
A reearcher etimate that a foil i 3200 year old. Uing carbon-14 dating, a procedure ued to determine the age of an object, the reearcher dicover that the foil i 3600 year old. A. Find the percent error. Repone
$11. \overline{1}\%$
11 point 1 repeating percent
$12. 5\%$
12 point 5 percent
$88. \overline{8}\%$
88 point 8 repeating percent
$112. 5\%$
112 point 5 percent
Quetion 2
b. What other etimate give the ame percent error?
year old
The percent error for the given actual and estimated age of the fossils discovered by the researcher is equal to 11.11%.
As given in the question,
Actual estimated age of the fossil =3200 year old
Expected age discovered by the researcher of the fossil = 3600 year old
Formula for percent error is given by :
Percent error = | ( Actual age - Expected age ) / (Expected age) | × 100
Substitute the values we get,
Percent error = | ( 3200 - 3600 )/ 3600 | × 100
⇒ Percent error = 0.111111 × 100
⇒ Percent error = 11.11 %
Therefore, the percent error of the fossil discovered by the researcher is given by 11.11%.
The above question is incomplete , the complete question is :
A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating, a procedure used to determine the age of an object, the researcher discovers that the fossil is 3600 years old.
Find the percent error?
Learn more about percent error here
brainly.com/question/10501147
#SPJ4