Answer:
e
Step-by-step explanation:
A student number for a high school requires that
student identification number consist of 6 characters.
The first 4 characters can be any number without
restriction. The last 2 characters are letters and cannot
repeat. How many student ID's are possible?
(Hint: There are 10 digits and they are: 0 1 2 3 4 5
6 7 8 9.)
A: B: C: D: E: F:
————— student ID’s
Therefore , the solution of the given problem of combination comes out to be 6,500,000.
Define combination.Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the direction of the selection is irrelevant. You can choose any combination of the components in any order. Combinations and permutations can be confused.
Here,
Berry, we'd like to estimate the amount of potential student IDs.
among the available figures are;
Ten numbers: 0 1 2 3 4 5 6 7 8
26 alphabets, as well
There are 10 options for the first digit.
Ten alternatives for the second digits
Three digits, 10 options
10 options for the fourth digit
26 options for the first alphabet
Second Alphabet: There are 25 options available if we choose all the other alphabets outside the one we first chose.
the number of potential student IDs will therefore be;
=>10 * 10 * 10 * 10 * 25 * 26 = 6,500,000
Therefore , the solution of the given problem of combination comes out to be 6,500,000.
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y = 1/2 x + 1
-2x + 4y = 4
need an answer please
y = -x - 3
y + x = 2
There are infinitely many solutions and thus infinitely many values for x and y in the first system of equations. There are no solution for the second system of equations.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side
The first system of equations are,
y = 1/2 x + 1
-2x + 4y = 4
Multiplying throughout the first equation by 4, we get
4y = 2x + 4
and the second equation is 4y = 2x + 4
Both the equations are same and so the lines coincide.
They have infinitely many solutions.
The second system of equations are,
y = -x - 3
y + x = 2 ⇒ y = -x + 2
Both are in the form of y = mx +c, which is the equation of the line in slope intercept form.
Here m is the slope.
Given lines have the coefficient of x same, and so slopes are same.
So the lines are parallel.
Two parallel lines does not have a solution.
Hence the first system of equations have infinitely many solutions and second system of equations does not have any solution.
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Why is it called a secant?
A chord is the line segment that the two points determine, i.e., the interval on the secant with the two points as its ends.
what is circle ?In the plane, a circle is created by each point that is a specific distance from another point (center). Therefore, it is a curve made up of points that are spaced out from one another in the plane in a fixed manner. It rotates symmetrically around the center at all angles. Every pair of points in the plane of a circle, which is a closed two-dimensional object, are evenly distanced from the "center." Specular symmetry is produced by a line that traverses the circle. It rotates symmetrically around the center at all angles.
given
The Latin verb secare, which means to cut, is where the word secant originates.
A secant crosses a circle at precisely two points in the case of a circle. A chord is the line segment that the two points determine, i.e., the interval on the secant with the two points as its ends.
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what is the answer to this question?
Ms. Wells is going to order 4 large cheese pizzas for a class pizza party at the end of the school year. She expects she'll spend at least $40 on the pizzas. Let x represent how much ms. Wells expects each pizza to cost. Which inequality describes the problem?.
The correct inequality that describes the problem is 4x ≥ 40. Thus, the correct answer is A.
The answer is A because Ms. Wells is ordering 4 large cheese pizzas, and she expects to spend at least $40 on the pizzas. The inequality 4x ≥ 40 represents the total cost of the pizzas, which is 4 times the cost of each pizza (4x) and should be greater than or equal to $40. This inequality tells us that the total cost of the pizzas is at least $40, which is what Ms. Wells expects.
Option B, 4x > 40x, is incorrect because it doesn't make sense mathematically. The right side of the inequality is 40x, which is not related to the problem, and it also doesn't make sense that each pizza will cost 40 dollars.
Option C, 4x ≤ 40, is incorrect because it represents the total cost of the pizzas as less than or equal to $40, which doesn't match with Ms. Wells' expectation that she expects to spend at least $40 on the pizzas.
This question should be provided with answer choices, which are:
A. 4x ≥ 40B. 4x > 40xC. 4x ≤ 40The correct answer is A.
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The wages of four employees in the mail department are represented below. Use the information
to answer the questions.
STEPH
HOURS
15
18
21
24
27
WAGES
$157.50
$189.00
$220.50
$252.00
$283.50
LAYLA
Owner;
She pays herself
twice the sum of the
other employees'
weekly wages.
MARCO
w = 9h
WAGES ($)
1000
900
800
700
600
500
400
300
200
100
DESTINY
10 20 30 40 50 60 70 80 90 100
TIME (HOURS)
The profit of the owner is $2204, if her payment is twice the sum of the
other employees' weekly wages.
What is wages?A wage is the payment made to employees for the time they put in working for their employer. Always based on a specific period of time, wages are paid. On an hourly basis, typically. This is the origin of the phrase hourly worker. Salary and commissions are some additional types of payment.
Pay for lower level employees is determined by the number of hours worked. To record the number of hours worked each week, these employees typically use a time sheet or time card. To keep track of hourly employee hours, the majority of modern employers use computerised systems.
To enter their hours worked, employees must log in and out of the system. These workers are then paid either weekly or biweekly, depending on the state.
Given that the owner pays herself twice the sum of the other employees' weekly wages.
Sum wage of the employees = $157.50 + $189.00 + $220.50+ $252.00+ $283.50
= $1102.5
She pays herself twice the sum
2 × $1102
= $2204
Thus, the profit of the owner is $2204.
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How to learn table 1 to 20?
Therefore , the solution of the given problem of tables comes out to be to recall multiplication tables without just repeating the numbers is by using skip counting.
Explain a table.A mathematical list is a list of numbers that represents the results of a calculation with several inputs. organized in rows and columns, data consists of numbers and descriptions. It is simple to recall the table and the 10 pattern. 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30 are the numerals in numerical order. Value mapping are used to illustrate the connections between various data elements.
Here,
One of the most effective techniques to recall multiplication tables without just repeating the numbers is by using skip counting.
When counting by skips, you always start with the integer you're counting by and keep adding it.
For instance, if you skip count by 2, you would get 2, 4, 6, 8, 10, etcetera.
Therefore , the solution of the given problem of tables comes out to be to recall multiplication tables without just repeating the numbers is by using skip counting.
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A wood stove burns 4 same-sized logs in 2 hours. How many log does the stove burn in 8
hours?
Answer:
16 logs
because if 4 logs are burned in 2 hours then in 8 hours it would be 16 because 2hrs times 4 is 8 hours
you do the same to the logs which is 4 x 4
then u get 16
hope this helps!
Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk. The diameter of the circle is 66 centimeters. What is the approximate area of the circle? (Use 3.14 for .) A. 854.865 cm2 B. 3,419.46 cm2 C. 207.24 cm2 D. 13,677.84 cm2
The correct option for the area of the circle is B. 3,419.46 cm².
What is area of a circleThe area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr².
Area of circle = πr²
π = 3.14
radius = diameter/2
radius of the circle = 66 cm/2
radius of the circle = 33 cm
Area of the circle = 3.14 × (33 cm)²
Area of the circle = 3.14 × 1089 cm²
Area of the circle = 3419.46 cm²
Therefore, the area of the circle measured by Jon and Becky is equal to 3,419.46 cm².
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A store sells two shades of purple paint. The tables show the number of gallons of blue paint and the number of gallons of red paint used to make each shade of purple paint.
Shade A
Number of Gallons of Blue Paint
8
12
16
24
Number of Gallons of Red Paint for shade A
12
18
24
36
Shade B
Number of Gallons of Blue Paint
5
7
9
12
Number of Gallons of Red Paint
10
14
18
24
Based on the tables, which statements are true? Choose all that apply.
A. The ratio of the number of gallons of red paint to the number of gallons of blue paint in
shade B is 2:1.
B. Shade B should be redder than shade A because shade B has 2 gallons of red paint for every 1 gallon of blue paint. Shade A has 13 gallons of red paint for every 1 gallon of blue paint.
C. Shade A should be bluer than shade B because shade A has 1 gallon of blue paint for every 2 gallons of red paint. Shade B has 1 gallon of blue paint for every 1/2 gallons of red paint.
D. Shade A should be bluer than shade B because shade A has gallons of blue paint for every 1 gallon of red paint. Shade B has gallon of blue paint for every 1 gallon of red paint.
E. If the store owner adds 1 gallon of blue paint to 20 gallons of shade A, she creates 21 gallons
of shade B.
Answer:
A. False
B. False
C. False
D. False
E. False
Explanation:
A. The ratio of the number of gallons of red paint to the number of gallons of blue paint in shade B is 2:1, but this statement only holds true for the first set of values provided.
B. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.
C. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.
D. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.
E. The statement is not true since there's no information about how the shade A is made.
Step-by-step explanation:
Is it possible to draw a triangle the lengths of whose sides are 2cm 3cm and 4cm?
It is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm because the sum of two sides are greater than the third sides.
In the given question, we have to check that it is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm.
To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always greater than the third side.
To check this we firstly add the 2 and 3
2 + 3 > 4
5 > 4
Now we add 2 and 4
2 + 4 > 3
6 > 3
Now we add 3 and 4
4 + 3 > 2
7 > 2
It is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm because the sum of two sides are greater than the third sides.
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1. Find the length of an arc in a circle with a radius of 8 cm and a central angle of 197
On solving the provided question we can say that the radius of circle is 2.1415 cm.
What is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
We know, Central angle (θ) = (length arc)/radius ….(1)
Convert angle in radian:
Angle in radians = Angle in degrees x π/180° = 197° x π/180 = 1.09
From (1),
Radius = (length arc)/Central angle
= 8/3.1415 =2.1415cm
Therefore radius is 2.1415 cm.
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The first number is 5 less than 3 times the second number. Four times the first number
minus two times the second number is ten. Find the numbers.
Answer:
The first number is 4, the second is 3
Step-by-step explanation:
We can make 2 equations, let x be the first number, and y be the second number.
x = 3y - 5
4x - 2y = 10
We sub x = 3y - 5
=> 4(3y - 5) - 2y = 10
=> 12y - 20 - 2y = 10
=> 10y - 20 = 10
=> 10y = 30
=> y = 3
Sub y = 3 into x = 3y - 5
x = 3(3) - 5
x = 4
Therefore, the first number is 4, and the second is 3
1/3 of a gallon equally with 3 friend elect the equation that how how to calculate the fraction
The fraction that can be equally distribute the equation is 1/9.
The term fraction is defined as the representation of the part of whole thing and it has two parts that is namely numerator and denominator.
Here we have given that is 1/3 gallon of water in a 3 gallon container.
Here we have the amount of water is 1/3 gallon and the container capacity is 3.
Now, we have to equally distribute it across the given contained for that one we have to divide it by the total amount of the container then we get,
=> (1/3)/3
When we rewrite the fraction, the we get the expression as,
=> 1/3 x 1/3
When we multiply this one, then we get,
=> 1/9
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A cylinder has base radius x cm and height 2x cm. A cone has base radius x cm and height h cm. The volume of the cylinder and the volume of the cone are equal. Find h in terms of x. Give your answer in its simplest form.
The value of h in terms of x when the volume of cylinder is equal to that of cone is h = 6x²
What is volume of cylinder and cone?Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.
The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. The volume of a cone is ¹/₃ × π × r² × l. To calculate the volume we multiply these values together.
The volume of cylinder = πr²h
and volume of cone = 1/3 πr²h
since the volume of the cone and cylinder are equal
πr²h = 1/3 πr²h
r in cylinder = x cm and h is 2x
r in cone = x cm
therefore πx²×2x = 1/3πxh
divide both side by πx
π2x³/πx = h/3
2x² = h/3
therefore h = 3×2x²
h = 6x²
therefore the value of h in terms of x is h = 6x²
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What is the value of R in the equation 2 2r 8 3r 16 4 points a 0 b2 C 10 D 32?
The equation 2 2r 8 3r 16 is a linear equation in two variables (r and 3r).
To solve for r, we can use the method of elimination. First, we subtract the second equation from the first equation:
2 2r 8 3r 16
-2 2r 8 3r 16
------------------------
0 0 0
Since the equation is now equal to 0, this means that r is equal to 0. We can confirm this by substituting 0 in for r in both equations:
2 2(0) 8 3(0) 16
2(0) 8(0) 16
0 0 16
Since 0 = 16 is not true, this confirms that r = 0.
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Someone help me please !
Answer:
1
Step-by-step explanation:
X= -3-2=-5
y= -2-3=-5
-5/-5=1
What is the formula to calculate pixel?
By dividing the width and height by the dpi, one may get the pixel size. Additionally, a digital camera will have pixel dimensions, which are the sum of its resolution's horizontal and vertical pixel counts (e.g., 2,048 by 3,072), this is the formula to calculate pixel.
What is pixel made of?The smallest component of a visual display or digital image is a pixel, also known as a picture element. A grid of pixels is used to create computer screens. Red, blue, and green illumination components make up each pixel, which may produce millions of distinct colors by combining them in various ways and at various intensities.
For instance, a computer with a display resolution of 1280 x 768 will create up to 98,3040 pixels on a display screen. The number of pixels per inch of the monitor screen affects image quality; more pixels per inch produce better images.
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Find the measure of each angle indicated.
edin has £300 in his savings account.
his bank offers him a fixed 5% simple interest rate per annum,
for a peirodof 3 years.
how much interest will he earn in 3 years?
The simple interest earned by Edin after 3 years is $45.
Define the term simple interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest does not really compound, therefore a creditor will indeed charge interest upon that principal sum, and a borrower will never be required to pay further interest on the interest which has already accrued.The formula for the simple interest is-
SI = PRT/100
Amount P = £300Rate of Interest r = 5%Period n = 3 yearsThe interest which would be earned in 3 years:
SI = 300*5*3 / 100
SI = 45
Thus, the interest earned by Edin after 3 years is $45.
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How do you find the ratio of a circle formula?
The ratio of a circle can be found through the formula A = πr2, where A is the area of the circle and r is the radius of the circle.
To find the ratio of a circle, you must first calculate the area of the circle. To calculate the area, multiply the value of π (3.14159) by the square of the radius (r2). For example, if the radius of the circle is 4, the area of the circle would be 3.14159 x 42, which is equal to 50.2653. The ratio of a given circle can then be found by dividing the area of the circle (50.2653) by the square of the radius (42), which gives 1.273.
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Danielle's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 5 espressos in all, 5 of which were single-shot. What percentage of the espressos were single-shot?
write your answer using a percent sign (%)
100% percent of the espressos were single-shot.
What is the percentage?
Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios, proportions, and rates. It is denoted by the symbol "%". For example, if you have 25 out of 100 items, you can express this as 25% to represent the proportion of items that you have.
The total number of espressos sold yesterday afternoon was 5. If 5 of them were single-shot, then 100% * 5 / 5 = 100% of the espressos were single-shot.
Hence, 100% percent of the espressos were single-shot.
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help ASAP I need to do this test before jan,20,2023
Answer:
its c
Step-by-step explanation:
2 x 12= 24, 3 x 8=24 and 4 x 6=24
y=x^2+6x+8 solve by completing the square.
For the given quadratic equation, the solutions are x = -3 and x = -3.
What is the completing square method?
The completing the square method is a technique used to solve quadratic equations of the form y = ax² + bx + c. The goal of this method is to convert the equation into the standard form of a quadratic equation, which is y = a(x + h)² + k, where a, h and k are constants.
To solve y = x² + 6x + 8 by completing the square, we need to add and subtract a value to the equation so that the x-term (x² + 6x) is a perfect square. In this case, we need to add and subtract (6/2)² = 9 to the equation, which gives us:
y = x² + 6x + 8
y = (x² + 6x + 9) - 1
Now, we can take the square root of the x-term, which is (x + 3)², and we get:
y = (x + 3)² - 1
The equation is now in the standard form of a quadratic equation, with y = (x + 3)² - 1. We can now solve for x by taking the square root of both sides of the equation and getting x = -3, -3 .
Alternatively, We can also solve for x by factoring the expression inside the square, which would give (x + 3) (x + 3) = 0 and x = -3, -3
Hence, for the given quadratic equation, the solutions are x = -3 and x = -3.
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Randi and Leah are studying together for an exam. Let X represent the number of hours Randi spends studying
nightly, and let y represent the number of hours Leah spends studying nightly. The mean of X is 4.5 hours with a
standard deviation of 1.1 hours, and the mean of Y is 3.7 hours with a standard deviation of 1.8 hours. Assuming
these are independent random variables, which answer choice correctly calculates and interprets the standard
deviation of the sum, S = X + Y?
subscript u s=0.7; Randi and Leah can expect the total number of hours spent studying to vary by approximately 0.7 hours from the mean.
subscript s = 1.7; Randi and Leah can expect the total number of hours spent studying to vary by approximately 1.7 hours
from the mean.
subscript s=2.1; Randi and Leah can expect the total number of hours spent studying to vary by approximately 2.1 hours from the mean.
subscript = 2.9; Randi and Leah can expect the total number of hours spent studying to vary by approximately 2.9 hours
from the mean.
Answer:
2.1
Step-by-step explanation:
σ total ^ 2 = σ randi ^2 + σ leah ^2 = 1.1^2 + 1.8^2 = 4.45
σ total = √4.45 = 2.1
Randi and Leah can expect the total number of hours spent studying to vary by approximately 2.1 hours from the mean.
The correct option is C.
What is a standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
Given:
Randi and Leah are studying together for an exam.
Let X represent the number of hours Randi spends studying nightly, and let y represent the number of hours Leah spends studying nightly.
The mean of X is 4.5 hours with a standard deviation of 1.1 hours, and the mean of Y is 3.7 hours with a standard deviation of 1.8 hours.
Assuming these are independent random variables,
S = X + Y
σ² = σ²(Randi)² + σ²(Leah)
= (1.1)² + (1.8)²
=√(4.45)
σ = 2.1
Therefore, the sum is 2.1.
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Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by SAS
Mark the sides BC and DF as congruent.
What are triangle?
A triangle in geometry is a three-sided polygon with three edges and three vertices.
The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.
This characteristic is known as the triangle's angle sum property.
If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.
In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.
A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.
The vertex is the intersection of two straight lines. The triangle therefore has three vertices.
According to our question-
We are given a side and an adjacent angle, and we must figure out which side or angle is needed in order for SAS to provide proof.
SAS stands for side-angle-side and calls for the congruency of two sides and the included angle on both triangles.
The side of the designated angle B and D that is missing is as follows:
side DF or BC.
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There is a line whose slope is eight and whose Y intercept is five what is it equation in slope intercept form
Answer:
y=8x+5
Step-by-step explanation:
y=mx+b is slope intercept form
m stands for Slope = 8
b is y intercept = +5
plug it in and you get y=8x+5
Solve the equation 3x + 4y = 7 for y.
y equals the quantity negative 3 times x plus 7 end quantity over 4
y equals the quantity 3 times x plus 7 end quantity over 4
y equals negative 3 over 4 times x plus 7
y equals negative 3 times x plus 7 over 4
y equals the quantity negative 3 times x plus 7 end quantity over 4.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given a linear equation in two variables.
3x+ 4y = 7
We have to find an expression to calculate y from the equation.
Subtracting both sides of the equation with 3x, we get,
3x + 4y - 3x = 7 - 3x
4y = 7 - 3x
Dividing throughout by 4,
4y/4 = (7 - 3x)/4
y = (7 - 3x) / 4
Hence the value of y is the quantity negative 3 times x plus 7 end quantity over 4.
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Use the slider to change the scale factor.
8
6
4
2
0
2
Scale: 1
4
6
8
Consider the original rectangle and the rectangle that
has been reduced by 0.5.
What is the perimeter of the original figure?
What is the perimeter of the scale figure?
On solving the provided question, we can say that - There exist 333 integers smaller than 1000 that are evenly divisibility test by 3 if you divide 1000 by 3, which results in 333 with a residual of 1.
what is divisibility test?The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.
here,
1000/3
remainder = 1
divisor = 333
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On solving the provided question, we can say that in the rectangle L = 6 units and B = 2 units, Perimeter, P = 2(L+B) => P = 2(6+2) => P = 16 units
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
here,
in the rectangle
L = 6 units
B = 2 units
Perimeter, P = 2(L+B)
P = 2(6+2)
P = 16 units
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The town of springfield, usa has a population of 990099009900 people. The population is growing at a rate of 2. 3\%2. 3%2, point, 3, percent each year. Which expression gives the town's population 555 years from now?.
The expression that gives the town's population 555 years from now can be calculated using the following formula:
Population (t) = Population (0)×[tex](1+growth rate)^{t}[/tex]
Where t is the time period, in this case 555 years, Population (0) is the initial population, and Growth Rate is the rate of growth, in this case 2.3%.
Plugging in the values, the expression giving the town's population 555 years from now is:
990099009900 × [tex](1+0.023)^{555}[/tex]
This expression gives a population of 236793241036.6 people, which is the estimated population of the town of Springfield, USA 555 years from now.
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