The study of the size and shape of things is a crucial aspect of various fields, including mathematics, physics, and art.
In terms of drawing, it is important to understand the relationship between basic drawing primitives or entities, such as straight and curved lines. Recognizing the difference between these elements allows an artist to create accurate and dynamic drawings that convey depth and dimension. For example, a straight line can represent a surface that is flat or static, while a curved line can suggest movement or dimensionality. Understanding how to use these drawing primitives effectively can help an artist to create more engaging and realistic illustrations. Additionally, studying the size and shape of objects can help artists to accurately render proportion, scale, and perspective in their work, resulting in more lifelike depictions.
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Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
You have a balance of 17,426 on your credit card. Your minimum monthly payment is 461 . If your interest rate is 15.5%, how many years will it take to pay off your card assuming you don't add any debt? Enter your response to two decimal places (ex: 1.23)
With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.
To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.
To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).
We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.
In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).
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Hans corrio 3 millas en la pista hizo un descanso y luego corio 4/5 de milla mas. Escribe el numero de millas que corrio hans como faccion impropia equivalente.
Answer:
19/5
Step-by-step explanation:
Aquí, queremos escribir el número total de millas que Hans corrió en forma de una fracción impropia.
Para hacer esto, agregamos todas las millas recorridas.
Matemáticamente, eso sería 3 + 4/5 = 3 4/5 Esta es la forma de fracción mixta.
La fracción impropia es así (5 * 3) + 4/5 = 19/5
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 2 more than 5 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 110
Mark and Don have 18 and 92 marbles respectively.
What is the solution of the 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. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
Let the number of marbles Mark has be x.
According to the question,
Don has (5x+2) marbles.
Total number of marbles=110
Thus, the required equation is:
x+5x+2=110
6x=108
x=108/6
x=18
Mark has 18 marbles.
Don has (5*18+2)=92 marbles.
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Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils. How can they redistribute the pencils so that they all have the same amount? How many pencils should each person have?
Answer:
Each person should have 12 pencils.
Step-by-step explanation:
There are 5 people and 60 pencils. To distribute them evenly, you would divide 60 pencils by 5 people and get 12 pencils per person.
So, each person should get 12 pencils :)
\(\huge\red{\mid{\underline{\overline{\textbf{QUESTION}}}\mid}\)
Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils. How can they redistribute the pencils so that they all have the same amount? How many pencils should each person have?
Response-
We are listed with the names Maria, Ted, Tom, Lucinda, and Jumana which would mean our equation would be
\(x \div 5\)
\(x\) being the amount of pencils
_____________
Now to find the number of pencils we will add what everyone had together
\(14+9+12+13+12\\{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:60\)
now since we have \(60\) pencils and \(5\) people we can divide
\(60\div5\\{\:\:\:\:12\)
\(\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}\)
\(12\) pencils shall be distributed to Maria, Ted, Tom, Lucinda, and JumanaFind the value of (11.154 +78) + 13.
Write your answer as a decimal.
Answer:
102.154
Step-by-step explanation:
11.154 78 = 89.154 13 =102.154
1. Solve the system using substitution
x = 3y - 1
x + 2y = 9
Answer:
see pic below (Brainliest pls)
Step-by-step explanation:
x/2−5=−12
I need to know how to get the answer to what X is
Answer:
-14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x/2-5=-12
1/2x+-5=-12
1/2x-5=-12
Step 2: Add 5 to both sides.
1/2x-5+5=-12+5
1/2x=-7
Step 3: Multiply both sides by 2.
2*(1/2x)=(2)*(-7)
x=-14
Answer:
-14
Step-by-step explanation:
x/2 = -12 + 5 << add both sides by 5
x/2 = -7 << Combine -12 + 5
x = -14 << Multiply both sides by 2
This revolves around the idea of inverse operations
To get x by itself we needed to bring the other numbers to the other side of the equation.
Inverse operations is bring the numbers to the other side by doing the opposite operation it shows.
ex: if the number is +5 on one side, it will be -5 on the other
Hope this helps!
If you don't understand, please feel free to comment and let me know!
Have a great day!
find the derivative of y=cos^2(5x^3-2x)
Step-by-step explanation:
Use power rule and chain rule.
y = cos²(5x³ − 2x)
dy/dx = 2 cos(5x³ − 2x) (-sin(5x³ − 2x)) (15x² − 2)
dy/dx = 2 cos(5x³ − 2x) sin(5x³ − 2x) (2 − 15x²)
Use double angle formula to simplify:
dy/dx = sin(10x³ − 4x) (2 − 15x²)
what method statistically finds the most defects? group of answer choices code reviews system tests unit tests only a combination makes sense.
Code reviews are most likely to find the most defects. So, the correct answer is A).
The statistical method that finds the most defects in software development depends on various factors. Code reviews can identify defects early on in the development process, while system tests can find issues with the overall functionality of the software.
Unit tests can catch defects at a lower level and ensure that individual components of the software are working as expected. However, it is often a combination of these methods that provides the best results.
By utilizing a variety of testing and review techniques, software developers can ensure that defects are caught early and that the software meets the necessary requirements and quality standards. so, the correct answer is Code review and option is A).
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Please help me. Please don’t give me a answer on the internet
Answer
A) f(w) = 80w + 30
B) w represents the number of weeks and f(w) the number of flowers that bloomed
C) 2830 flowers
Step-by-step explanation
A) To find the function f, which represents the number of flowers that bloomed, as a function of w, the number of weeks, we have to evaluate f(s) with s = s(w) = 40w, as follows:
\(\begin{gathered} f(s)=2s+30 \\ \text{ Substituting }s=s(w), \\ f(s(w))=2s(w)+30 \\ \text{ Substituting }s(w)=40w \\ f(s(w))=2\cdot40w+30 \\ f(w)=80w+30 \end{gathered}\)B) w represents the number of weeks and f(w) the number of flowers that bloomed, like before.
C) Substituting w = 35 weeks into f(w), we get:
\(\begin{gathered} f(w)=80(35)+30 \\ f(w)=2800+30 \\ f(w)=2830\text{ flowers} \end{gathered}\)3. Drew currently has 31 comic
books in his collection. His friend Connor has
58 comic books. How many more comic books
does Drew need to add to his collection in order
to have a larger collection than Connor?
A no more than 21
B 27
C at least 28
D more than 30
Answer:
C
Step-by-step explanation:
Connor's 58 comic books subtracted by Drew's 31 is 27. Which means to have more than Connor's has to be more than 27 which is at least 28.
the wechsler intelligence scale for children (wisc) are normally distributed with a mean of 100 and a standard deviation of 13. a. what is the probability that a randomly selected child has wisc score above 125? express your answer in decimals.
Answer:
0.0274
Step-by-step explanation:
A z-score measures exactly how many standard deviations above or below the mean a data point is.
The z-score for a normal distribution is given by the formula
\(z = \dfrac{X - \mu}{\sigma}\\where\\\\X = data \;point}\\\mu = mean\\\sigma = standard\; deviation\)
Plugging in values:
X = 125
μ = 100
σ = 13
z = (125-100)/13 = 1.92308
We are asked to find the probability that the score exceeds 125
This is the same as P(z > 1.92308) which is the area to the right of z = 1.92308
P(z > 1.92308) = 0.0274 (from either the tables or calculator)
Find an equation for the line with the given properties. Express your answer using slope -intercept form of the equation of a line. Perpendicular to the line y=(1)/(3)x-2; containing the point (-2,6)
Given statement solution is :- The equation of the line perpendicular to y = (1/3)x - 2 and containing the point (-2, 6) is y = -3x.
To find the equation of a line perpendicular to the given line and passing through the point (-2, 6), we need to determine the slope of the perpendicular line.
The given line has a slope of 1/3. The slope of a line perpendicular to this line will be the negative reciprocal of the given slope. So, the slope of the perpendicular line will be -3/1 or -3.
Now, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1),
where (x1, y1) is the given point and m is the slope.
Using the point (-2, 6) and the slope -3, we substitute these values into the equation:
y - 6 = -3(x - (-2)).
Simplifying:
y - 6 = -3(x + 2).
Expanding:
y - 6 = -3x - 6.
Now, we can rearrange the equation into slope-intercept form (y = mx + b):
y = -3x - 6 + 6.
Simplifying:
y = -3x.
Therefore, the equation of the line perpendicular to y = (1/3)x - 2 and containing the point (-2, 6) is y = -3x.
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HELP PLEASE ASAP TYSM :)
Answer:
I think first one
Step-by-step explanation:
because 1 3 1 are to separate
10 3 4 too
and 5 2 3
Label a point, A, on the graph y=f(x) where the derivative is negative.
ANSWER AND EXPLANATION
A negative derivative on a graph represents the points in the graph where the value of the function is decreasing.
Also, the slope of the tangent to that point (negative derivative) will be negative.
Therefore, from the graph given, we can locate a point of negative derivative:
गुणोत्तर अनुक्रम र श्रेणी (GEOMETIC SEQUENCE & SERIES)
12A. एउटा गुणोत्तर श्रेणीको तेस्रो र छैटौँ पदहरू 1 : 8 को अनुपातमा छन् । यदि आठौं पद 384 भए सो श्रेणीको पाचौं पद पत्ता लगाउनुहोस् ।
The third and sixth terms of a geometric series are in the ratio of 1 : 8. If eighth term of the series is 384
then find the fifth term.
Answer:
i think its 34
Step-by-step explanation:
Suppose that the population of some state in 2010 was P 34 million and its annual percentage rate of continuous growth is R= 1.02%. a) Write the formula f(x)-Perx where r is in dear al notation, that models the population in millions x years after 2010.
(b) Estimate the population in 2023.
(a) fx)-(Use integers or decimals for any numbers in the expression.) (b) The population in 2023 will be approximately million. Round to the nearest whole number as needed.)
The formula f(x) = Pe^(rx) models the population in millions x years after 2010, where P is the initial population, r is the annual growth rate (in decimal form), and e is the base of the natural logarithm.
(a) Given that the population in 2010 was 34 million (P = 34) and the annual growth rate is 1.02% (r = 0.0102), we can write the formula as:
f(x) = 34e^(0.0102x)
(b) To estimate the population in 2023, we need to substitute x = 2023 - 2010 = 13 into the formula and calculate the value of f(x):
f(13) = 34e^(0.0102 * 13)
Using a calculator, we find that f(13) is approximately 37.31 million. Rounded to the nearest whole number, the population in 2023 is 37 million.
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PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP
What is the equation in slope-intercept form of the line that passes through the point (3,-3) and is perpendicular to the line represented by LaTeX: y=\frac{3}{4}x+3y = 3 4 x + 3?
F y = 4/3 x − 7
G y = 4/3 x + 7
H y = − 4/3 x − 1
J y= -4/3 x+1
Answer:
f
Step-by-step explanation:
what is figure formed by two rays that originate from the same point?
A. angle
B. Parallel line
C. Perpendicular lines
D. line segment
Can y’all help me ASAP please?
Step-by-step explanation:
\(8 log_{5}( {x}^{5} ) = 8 \times 5 log_{5}(x) \\ = 40 log_{5}(x) \)
If a club consists of 8 members, how many different arrangements of president, vice-president, and secretary are possible?
By permutation, there are 336 possible different arrangements.
What is the number of different arrangements of the president, vice-president, and secretary in the club?The number of the different arrangements of the president, vice-president, and secretary in the club gives a permutation which is calculated as follows:
Number of members in the club = 8
Number of people to be arranged = 3
The number of the different arrangements of the president, vice-president, and secretary = ₈P₃
₈P₃ = 8!/(8-3)!
₈P₃ = 336
Therefore, there are 336 possible different arrangements.
In conclusion, the number of arrangements is found by permutation.
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Cho a + b + c = 0 và a^2 + b^2 + c^2 = 1. Tính giá trị của M = a^4 + b^4 + c^4
Step-by-step explanation:
hello you then good mujhe samajh mein nahin a rahi hai sorry
This right? Cause I ain’t takin in more wrong answers
Answer:
t < 15
Step-by-step explanation:
6 < -3t + 51
3t < 51 - 6
3t < 45
t < 15
Your Welcome:
AYA AYHAVE A GREAT DAYAYA AY AYA AYMAY GOD BLESS ALL RENEGADES!!!!!Answer:
That wasn't right; the correct answer is 15>t or t<15.
Step-by-step explanation:
I'm going to do the equation step-by-step...
6<-3(t-17) Distribute.
6<-3t+51 Subtract by 51 on both sides.
-51 -51
-45<-3t Divide both sides by -3.
15>t We flip the sign because we divided by a negative.
Hope this helps...have a great day! ❤
When Mr. Tallchief reaches his retirement age of 65, he expects to have a retirement account worth of about $400,000. One month after he retires, and every month thereafter, he intends to withdraw 4,000 from the account. The balance will be invested at 9% anual interest compounded monthly.
a. Let An represent the amount in the account n months after Mr. Tallchief's retirement. Give a recursive definition for An
b. When will there be no money left in the account
The amount will become zero after 400 months.
Given that, Mr. Tallchief have $400,000 in his account after his retirement,
He intends to withdraw 4,000 from the account every month after the retirement,
We need to find the equation that represents the amount in the account n months after his retirement.
So,
f(n) = 400,000 - 4000n
This equation will give the withdrawal of money each month,
Now, when the account will have no money in it,
A = 0,
0 = 400,000 - 4000n
400,000 = 4000n
n = 400
Hence, the amount will become zero after 400 months.
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Matt is 54 3/ inches tall. Nancy is 1 3/8 inches taller than Matt and Jane is 1 1/5
inches taller than Nancy. How tall is Jane?
Jane is 8 13/40 inches tall
Given the following:
Height of Matt = 5 3/4 in = 23/4 inIf Nancy is 1 3/8 inches taller than Matt, hence;
Height of Nancy = 23/4 + 11/8 = 46+11/8 Height of Nancy = 57/8 inif Jane is 1 1/5 inches taller than Nancy, then the height of Jane will be;
Height of Jane = 57/8 + 6/5Height of Jane = 285+48/40Height of Jane = 333/40 = 8 13/40 inchesHence Jane is 8 13/40 inches tall
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8. Which of the following is not a true statement?
A) 33.326 > 33.316
B) 24.10009 < 24.11
C) 34.32 = 34.3200000
D) 27.4200 > 27.42
Answer:
Answe is D
Step-by-step explanation:
The zero doesn't mean any sense when it comes to decimal..
Answer:
i think its D
Step-by-step explanation:
27.42000 > 27.42000 is wrong because they're equal.
correct answer:
27.42000 = 27.42000
hope this helps!
Which fraction is the smallest?
3/5 1/2 2/3 4/7 3/8
Brent is trying to choose two gifts for his friend Julie's birthday. While at one store, he notes 6 different CDs and 3 different DVDs that he knows she would like. At a second store, there are 3 different mysteries, 3 different biographies, and 7 different cookbooks he could also purchase.
If Brent wants to buy one gift from each store, how many different combinations could he purchase?
A.90
B.22
C.32
D.117
Brent has 54 different combinations to choose from if he wants to buy one gift from each store.
Brent has 6 CDs and 3 DVDs to choose from at the first store, and 3 mysteries, 3 biographies, and 7 cookbooks to choose from at the second store. To determine the total number of different combinations Brent could purchase, we can multiply the number of options from each store:
6 CDs x 9 books = 54 possible combinations
Therefore, Brent has 54 different combinations to choose from if he wants to buy one gift from each store.
In combinatorics, we use the multiplication principle to determine the total number of possible outcomes of an event that can occur in sequential stages. In this case, Brent's choices of gifts from each store can be thought of as two sequential stages, and we can use the multiplication principle to determine the total number of combinations he could purchase. The multiplication principle states that if one event can occur in m ways and a second event can occur independently of the first in n ways, then the two events together can occur in m x n ways.
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Which number like inequality represents n<-1?