The number given as 1/8 is a rational number
How to determine the true statement?The number is given as
Number = 1/8
As a general rule, a rational number is represented as
Rational number = Numerator/Denominator
This in other words means that
A rational number can be represented as a fraction of two integers
In this case, we have
Numerator = 1
Denominator = 8
This means that the given number is 1 rational number
This is because it can be represented as a fraction of two integers
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a certain forest covers an area of . suppose that each year this area decreases by . what will the area be after years? use the calculator provided and round your answer to the nearest square kilometer.
The area after 15 years is 517.40km²
What is an area?It is the quantity that expresses the content of the region on the plane or on a curved surface. Area is the size of the surface that can be calculated. It is the amount of space occupied by a two-dimensional figure. It is the quantity that measures the unit of squares. We get the area of the rectangle by multiplying length and width. The area of the figure is counted by the area of unit squares. It determines the area of the number of common shapes, including rectangle, trapezoid, circle, sector, ellipse etc.
y = A(1 - r)t
where,
A = initial area
r = rate
y = 1600(1 - 0.0725)
y = 1600[tex](0.9275)^{t}[/tex]
here we put t=15, then we get
y=1600[tex](0.9275)^{15}[/tex]
y=517.40 km²
Therefore, the area after 15 years is 517.40km²
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"https://www.wyzant.com/resources/answers/224267/a_certain_forest_covers_an_area_of_1600_km2_suppose_that_each_year_this_area_decreases_by_7_25_what_will_the_area_be_after_15_years"
Calculate the area of parallelogram ABCD.
(-5, 2)
D
(-2,3)
A
E
(-3, 1)
C
(1.-1)
(4,0)
B
The area of the parallelogram ABCD is 15 square units and is calculated using the distance formula and parallelogram area formula.
As per the question statement, coordinates of points A, B, C, D and E are given as follow:
A(-2,3), B(4,0), C(-3, 1), D(-5, 2) and E(-3, 1).
The parallelogram's area is the product of its base and height.
Base can be calculated using distance formula in points A and E
AE = √[(-3+2)^2 + (1-3)^2]
AE = √[(-1)^2 + (-2)^2]
AE = √[1+4]
AE = √5 units
Height can be calculated using the distance formula in points A and B
AB = √[(4+2)^2 + (0-3)^2]
AB = √[(6)^2 + (-3)^2]
AB = √[36 + 9]
AB = √45 units
Hence area of parallelogram = AB * AE
Area = √45*√5
Area = √225
Area = 15 sq units.
Hence, The area of the parallelogram ABCD is 15 square units and is calculated using the distance formula and parallelogram area formula.
Area: The area is the space occupied by any object, shape or body, be it 2D or 3D and is in square units.Parallelogram: A unique variety of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.To learn more about area & parallelogram, click on the link given below:
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CREATE and SOLVE a division problem where the divisor is a whole number and the dividend is a decimal. The quotient must be greater than 5 but less than 6. EXPLAIN how you created this problem to meet all of the conditions (requirements) using correct math vocabulary.
The division problem where a divisor is a whole number and the dividend is a decimal is:
$20.36 are distributed equally among 4 men. How much money will each person get?
Each person will get $5.09.
The divisor of the division problem must be a whole number and the dividend is decimal.
Let's consider the dividend to be 20.36 and the divisor to be 4 which is a whole number.
When we divide 20.36 by 4 we obtain,
20.36/4 = 5.09
Therefore, the quotient is 5.09 which is greater than 5 but less than 6.
The problem:
$20.36 are distributed equally among 4 men. How much money will each person get?
Therefore, each person will get $5.09 each.
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You have $84.25. You earn additional money by mowing lawns. Then you
purchase a new pair of shoes for $75.49 and have $63.76 left. How much
money do you earn mowing lawns?
Answer:
55.00
Step-by-step explanation:
basically I subtracted 84.25 from 75.49 and I got 8.76. So I too kthat answer and subtracted 8.76 from 63.76. So the answer is 55.00
Kingsley needs to add two diagonal braces to a wall. The wall is 12m by 5m, what is the length of each brace?
Please show your work
Answer:
king need 12m by 5m 12×5 =
60
Step-by-step explanation:
look up and read
What is the square root of 1648474/737494
What is the equation of the least squares regression line for the data set?
y=.81x+12.25
y=-.81x-12.25
y=-.78x+11.22
y=.78x+11.21
The equation of the least squares regression line for the data set is: A. y = .81x + 12.25
What is a regression line?A regression line simply refers to a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line refers to a line which best fits a set of data.
In this scenario, x₁ would be plotted on the x-axis of the scatter plot while y₁ would be plotted on the y-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that the equation for the line of best fit is given by:
y = 0.81x + 12.25
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Write the amount in standard scientific notation. 6E 5 petabytes
The scientific notation it can be written as 6 x [tex]10^5[/tex] petabytes.
What is Scientific notation?A given number, equation, or expression is written in a format known as a scientific notation, which adheres to a set of principles. Large numbers like 8.6 billion are difficult to write in their numerical form since they are not only unclear but also time-consuming, and there is a potential that we may write a few zeros more or less. So, we utilise scientific notation to clearly describe extremely large or extremely small integers.
Given:
6E 5 petabytes
Now, we have to write the above number in scientific notation.
Now, the E generally represents the exponents raise to some power.
6E 5 petabytes
= 6 x [tex]10^5[/tex] petabytes
Hence, in scientific notation it can be written as 6 x [tex]10^5[/tex] petabytes.
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help write an expression for the area of the shaded part
Answer:
[tex][(5x+6)(3x)] - [(4x-3)(2)][/tex]
Step-by-step explanation:
Find the total area of the shape [tex](5x+6)(3x)[/tex]
And subtract the non-shaded area [tex](4x-3)(2)[/tex]
To get this equation:
[tex][(5x+6)(3x)] - [(4x-3)(2)][/tex]
i neeeedd help again ahhh :)
Answer:
t = -1
Step-by-step explanation:
Solving the equation:Distribute (-2) to each term of (t + 4) in the RHS
10t + 4 - 2t = 2 - 2(t + 4)
10t - 2t + 4 = 2 - 2 *t - 2*4
10t - 2t + 4 = 2 - 8 - 2t
Combine the like terms in the LHS and RHS,
8t + 4 = - 6 - 2t
Subtract 4 from both sides,
8t = -6 - 2t - 4
8t = -10 - 2t
Add 2t to both sides,
8t + 2t = -10
10t = -10
t = -10 ÷ 10
[tex]\sf \boxed{t =-1}[/tex]
At lonestar middle school 2 out of 5 randomly selected students participate in the science fair. If there are 800 students at the school how many students can be expected to Participate in the science fair
When there are 800 students at the school, the students that can be expected to Participate in the science fair is 320 students.
What is an expression?It should be noted that an expression is used to illustrate the relationship in the data or regarding the variables given.
In this case, the lonestar middle school picks out of 5 randomly selected students participate in the science fair.
When there are 800 students, the number of students picked will be:
= Fraction × Total students
= 2/5 × 800
= 320 students.
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please solve these asp
1. Rolle's first two conditions are not satisfied. Rolle's theorem is not applicable.
2. lim a sin x - sin 2x/[tex]tan^{3} x[/tex] = lim a sin x cos x / [tex]tan^{3} x[/tex] = sin x(a - 2cos x)
= Lim x-0 Sin x [tex]\left[\begin{array}{ccc}a - 21 (1 - x^{2} /2! + ..)\end{array}\right] /tan^{3} x[/tex] = Lim x - 0 sin x [a - 2) + [tex]x^{2}[/tex] ( 1 + higher power of x) ] / [tex]tan^{3} x[/tex]
Hence for the given limit to exist a − 2 = 0 ⇒a = 2, and the corresponding limit is 1.
Rolle's theorem states and iii if f(a) = f(b) then let us assume that there exists at least one value of x, and this value is c. The theorem is that if a function f is continuous on a closed interval, it must be continuous at that particular point in order for the function to be differentiable at any point x = a in its domain, but vice versa. Indicates that it is not always true. For continuity, we need to check the left and right limits and the value of the function at the point x = a.
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15 + x ≤ –45 pls help lawd
Answer: x≤-60
Step-by-step explanation:
Subtract -15 to isolate X:
[tex]\ \ \ 15 + x \leq -45 \\-15 \ \ \ \ \ \ \ \ -15\\[/tex]
[tex]x \leq -60[/tex]
6.) Find the radius of a circle with a circumference of 36(3.14) inches.
In this diagram, lines AB and CD are parallel. D B Angle ABC measures 35 degrees and angle BAC measures 115 degrees. a. What is m ZACD b. What is mZDCB c. What is mZACB
|CD| is parallel to |AB|
[tex]\angle ACD=\angle ACB+\angle DCB[/tex][tex]\begin{gathered} ACBisatriangle.Thesumofanglesinatriangleis180^o. \\ \angle ACB+\angle ABC+\angle BAC=180^o \\ \angle ACB=180^o-35^o-115^o \\ \angle ACB=30^o \end{gathered}[/tex]Also;
[tex]\begin{gathered} S\text{ ince CD and AB are parallel;} \\ \angle DCB=\angle ABC\text{ (because alternate angles are equal)} \\ \angle DCB=35^o \end{gathered}[/tex][tex]\begin{gathered} \angle ACD=\angle ACB+\angle DCB \\ \angle ACD=30^o+35^o \\ \angle ACD=65^o \end{gathered}[/tex]ANSWERS:
(a) The measured angle ACD is 65degrees
(b) The measured angle DCB is 35degrees
(c) The measured angle ACB is 30 degrees
If the distance between the bus terminus is 32 km, how much should
this distance be drawn on a 1:100000 scale plan?
The distance that should be drwan on a scale plan of 1:100000 is = 32m
What is distance?Distance can be defined as the area that is covered by the movement of an object without reference to its direction.
From the scale given,
1cm : 100000cm on the scale plan of the map
The given distance = 32km
Convert km to cm by multiplying by 100000
32km = 32× 100000 = 3,200,000
To determine the equivalent ratio,
1 cm = 100000
n cm = 3,200,000
n cm= 3,200,000/100000
n cm= 32cm
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Write in terms of i.
Simplify your answer as much as possible.
√-144
Answer:
12i
Step-by-step explanation:
√-144 = 12i
12i × 12i = -144
divide n^3+15v^2+56n by n+8
Answer:
n^3 + 15v^2 + 64
Step-by-step explanation:
Hope this helps
Answer:
n^3 + 15v^2 + 64
Step-by-step explanation:
This is the correct answer I believe
Desiree has $256 in her savings account she adds X dollars in her savings account on Friday if x equals $50.25 write an expression to find the amount of money in Desiree's account . how would we write that in an expression
We were told that Desiree has $256 in her savings account she adds X dollars in her savings account on Friday. Thus, the expression for the amount of money in Desiree's account is
256 + x
if x equals $50.25, then the amount of money in her account is expressed as
256 + 50.25
= $306.25
aaliyah bought a computer for 382.68 including tax she has already saved 37.00 and wants to pay the rest of in 8 equal monthly payments what would aaliyah monthly payment for the computer be
The amount that Aaliyah will pay for monthly payment for the computer is 43.21.
How to calculate the amount?From the information, it should be noted that Aaliyah bought a computer for 382.68 including tax she has already saved 37.00 and wants to pay the rest of in 8 equal monthly payments.
Therefore, the following can be deduced:
Total amount = 382.68
Amount saved = 37.00
Let the monthly payment be represented as x. Therefore, the equation will be:
37 + (8 × x) = 382.68
37 + 8x = 382.68
Collect like terms
8x = 382.68 - 37
8x = 345.68
Divide
x = 345.68 / 8
x = 43.21
The monthly payment is 43.21
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A salesman earns 40% commission on all the merchandise that she sells last month she sold $500 worth of merchandise how much commission (in dollars) did she earn last month
When the salesman earns 40% commission on all the merchandise that she sells last month she sold $500 worth of merchandise, the commission is $200.
What is commission?Commission simply means the percentage of the sales that is determined based on the rate that's given.
In this case, the commission will be:
= Percentage × Sales
= 40% × $500
= 0.4 × $500
= $200
The commission is $200
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In statistics, a frequency table has the following characteristics (choose all that apply):
*
15 points
A frequency table tabulates data to represent the number of times of occurrence for each score.
A frequency table uses tally marks in groups of 10 to count the frequency of occurrence.
It is possible to analyze the data and its behavior from a frequency table.
A frequency table categorizes the data into different groups based on frequency.
The characteristics of a frequency table in statistics are:
(A) Data is tabulated in a frequency table to show how frequently each score occurs.
(B) A frequency table can be used to study the data and its behavior.
(C) Based on frequency, a frequency table divides the data into various groups.
A frequency distribution is a list or table that displays the frequency of different outcomes in a sample. It can also be a graph.
The frequency or count of the values as well as their occurrences within a specific group or interval are shown in the frequency table.
If there are groups, the frequency of occurrence should be in a group of 5.
The number of tallies should be able to be equated to the sum of frequencies, which is determined by the sample size.
The statements that are the characteristics of a frequency table are (A), (B), and (D).
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality. Explain all steps and identify the properties used. 3a - 4 < 5 ►
The triangular based pyramid ABCD is shown
The base ABC is a right-angled triangle and the pyramid has a volume of 72cm^3
D is directly above A
AB=AC
AD=2 x AB
The length AB is labelled x
calculate the lenth x
Considering the volume of the pyramid, the length x is given as follows:
x = 6 cm.
What is the volume of a pyramid?The volume of a pyramid is given by the multiplication of one third of the base area Ab and the height h, as follows:
V = 1/3 x Ab x h.
In the context of this problem, the base is a right triangle with two equal sides x, hence the base area is:
Ab = 0.5(x)(x) = 0.5x².
The height is given by segment AD, hence:
AD = 2AB = 2x.
The volume is of 72 cm³, hence we can solve for the length x as follows:
V = 1/3 x Ab x h.
72 = 1/3(0.5x²)(2x)
x³ = 72 x 3
x³ = 216
x = cubic root of 216
x = 6.
Hence the missing side length is of x = 6 cm.
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Which point has coordinates (−2, 1.5) ?
Answer:
B
Step-by-step explanation:
Always start on the x axis and then the y axis.
Can someone help me solve this?
The sum of the first 26 terms for an arithmetic sequence is 1417.
The sum of the first 8 terms for the same arithmetic sequence is 76.
Find the value of the first term.
The value of the first term is - 8.
Given that:-
Sum of the first 26 terms for an arithmetic sequence = 1417.
Sum of the first 8 terms for the same arithmetic sequence = 76.
We have to find the value of the first term.
We know that,
Sum of first n terms of an AP is given by:-
S(n) = (n/2)(2a + (n - 1)d)
Where,
n is the number of terms,
a is the first term and,
d is the common difference.
Hence,
S(26) = 1417 = (26/2)(2a + (26 - 1)d) = 13(2a + 25d) = 26a + 325d
S(8) = 76 = (8/2)(2a + (8 - 1)d) = 4(2a + 7d) = 8a + 28d
Here we have two equations:-
26a + 325d = 1417 ...(1)
8a + 28d = 76 ....(2)
Multiplying (1) by 4 and (2) by 13 , we get
104a + 1300d = 5668
104a + 364d = 988
Subtracting and eliminating a , we get,
936d = 4680
d = 4680/936 = 5
Substituting d = 5 in (2), we get
8a + 28(5) = 76
8a + 140 = 76
8a = 76 - 140
8a = -64
a = -64/8 = -8
Hence, the first term is -8.
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Harold Crispen worked Monday, Tuesday, and Thursday from 9:00 AM to 4:30 PM with a half hour for
lunch each day. How many total hours did he work?
Answer:
7 hours
Step-by-step explanation:
Subtract 30 minutes from 4:30 because he had half an hour break at lunch.
9:00 AM to 4:00 PM = 7 Hours
Answer: 21 hours is the answer.
Step-by-step explanation:
9:00 AM to 4:30 PM is 7 hours and 30 minutes so If he gets a half hour off each day for lunch that would leave 7 hours therefore, he works 7 hours a day which would mean: 7 times 3 = 21 hours so he works 21 hours each day.
12 Apple trees and 29 orange trees and a cherry tree what is the ratio of Apple trees to orange trees
Answer: 12:29
Step-by-step explanation: 12 apples to 29 orange trees. no need to simplify. 29 is a prime number.
find the value of x
Help I NEED HELP PLEASE
Answer:
angle X =80°
angle V = 30°
