area
of a square room is 2601m squared Find
The
find its perimeter
Answers
Answer:
perimeter = 204m
Step-by-step explanation:
area of a square = side²
2601m² = side²
√(2601m²) = √side²
51m = side
perimeter of a square = 4*side
perimeter of this square = 4*51
perimeter of this square = 204m
Related Questions
When listing all the pairs of factors for a particular term, the is being used.
Answers
When listing all the pairs of factors for a particular term, the factorization process is used.
How is factorization used?This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.
For example, if we want to find all pairs of factors for the number 24, we could follow these steps:
Start with 1 and the number itself (in this case 24), as these are always factors.
Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.
Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.
When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.
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13. A particular amusement park ride will make 156 revolutions in 180 seconds. At this rate, how many revolutions will it make in 2 minutes?
14. The costume designer for the school play uses 4 feet of fabric to make 8 costumes. At the same rate, how many costumes can the designer make with 4 yards of fabric?
15. Nina can type 45 words per minute. Write the ordered pairs (number of minutes, number of words) Nina can type for 0, 1, 2, and 3 minutes.
PLEASE answer quick! It is due tomorrow and I am so tired..
Answers
2 minutes = 120 seconds
14.) 4ft/8c•3= 12ft/24
She can make 24 costumes
15.) multiply by the given numbers
(0,0), (1,45), (2,90), (3,135)
Hi can you please help me, my grade is dependent on this question
Answers
Answer:
\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)
Find the slope of the line that passes through the points (2,12)and(-2,0)
Answers
Answer:
\(m=3\)
Step-by-step explanation:
to find the slope between two points use the formula \(m=\frac{y_2-y_1}{x_2-x_1}\)
\(m=\frac{0-12}{-2-2}\)
simplify
\(m=\frac{-12}{-4}\)
divide -12 by -4
\(m=3\)
Write 1.75 % as decimal AND simplified fraction. ANS. As decimal __________. As simplified fraction. ________.
Answers
The given percentage is 1.75%.
To find the decimal expression of this percentage, we just have to divide it by 100. It's important to know that when we divide a number by 100, we just have to move the decimal point two spots to the left, as follows
\(\frac{1.75}{100}=0.0175\)Therefore, as a decimal is 0.0175.
Now, to find the simplified fraction, we divide the number by 10000, as follows
\(\frac{175}{10000}\)The reason for dividing by 10000 is that we need to have a whole number in the numerator, so the extra two zeros allow us to get rid of the two of the number. Now, we simplify the fraction dividing each part by 5
\(\frac{175\colon5}{10000\colon5}=\frac{35}{2000}=\frac{7}{400}\)Once we get the simplest fraction, we can finish.
Therefore, as a simplified fraction is 7/400.
When given a set of cards laying face down that spell F, R, A, C, T, I, O, N, determine the probability of randomly drawing a vowel.
A. three sevenths
B. five sevenths
C. three eighths
D. five eighths
Answers
Answer:
C
Step-by-step explanation:
A,I and O are 3 vowels out of the total 8 letters in
Answer:C
Step-by-step explanation:
a farmer buys 1000 pounds of hay which he thinks will last 31 days if his cow eats about 25 pounds of hay per day for how many days more than 31 will the farmers hay
feed the cow
Answers
The farmer can 9 days more than 31 days.
given,
farmer buy 1000 pounds of hay
if cow eats 25 pounds of hay per day .
here, 25 x 31 =775
which is less than 1000 ,so that the farmer can feed the cow more than 31 days
1000-775=225
225/25=9
therefore the farmer can 9 days more than 31 days.
There are four basic properties of numbers: commutative, associative, distributive, and identity. You should be familiar with each of these.
distributive property ;
According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The commutative property states that the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product.
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{x|x + 1 ≥ 3 and x − 6 ≤ −1}
Write the solution using interval notation
Answers
what is the variable "d" equal to in the equation 2d + 13
Answers
Answer:
d=-6.5
Step-by-step explanation:
2d+13=0
2d=-13
d= -13/2
d=-6.5
What is the domain of the function represented by the graph?
O all real numbers
O-4≤x≤4
O-3≤ys-1
O y < 0
Answers
Answer:
pretty sure its all real numbers
Step-by-step explanation:
the arrows imply it continues onward without a defined endpoint.
domain is the grouping of x-values represented.
I'm Serena. For a science project, my friend Jack and I are launching three model rockets, one after another. We launch the first rocket, and then 3 seconds later, we launch the next one. And we're launching the final rocket three seconds after that, from a platform that is 20 feet high.
For our project, we need to predict the paths for all three rockets. We also need to estimate when they will all be in the air at the same time. [A graph that shows "Height of rocket (feet)" on the y-axis and "Time (seconds)" on the x-axis is shown. A red downturned parabola is shown and labeled "Path of the first rocket."]
We have calculated the path of the first rocket. It looks like this: a parabola that opens down. The y-axis is the height of the rocket in feet, and the x-axis is the time in seconds.
My friend Jack thinks we need to recalculate the graphs for the other two model rockets. But since the rockets are all the same, I think we can just shift the graph of the first rocket to find the graphs for the other two. [The graph is duplicated in green and shifts to the right, and then again in blue and shifts to the right and up. Then the rockets blast off again.]
What do you think? How can we use the graph of the first rocket to create the graphs of the second and third rockets? When will all three rockets be in the air at the same time?Evaluate the Conjectures:
2. Do you agree with Serena that you can draw the graphs for the other two rockets by shifting the functions? Or do you think that Jack is correct that you need to recalculate the other two? Explain. (2 points)
Analyzing the Data:
Suppose that the path of the first model rocket follows the equation
h(t) = −6 • (t − 3.7)2 + 82.14,
where t is the time in seconds (after the first rocket is launched), and h(t) is the height of each rocket, in feet.
Compare the equation with the graph of the function. Assume this graph is a transformation from f(t) = –6t2. What does the term –3.7 do to the rocket's graph? What does the value t = 3.7 represent in the science project? (What happens to the rocket?)
Again assuming a transformation from f(t) = –6t2, what does the term 82.14 do to the rocket's graph? What does the value h(t) = 82.14 represent in the science project? (What is happening to the rocket?) (2 points)
Serena and Jack launch the second rocket 3 seconds after the first one. How is the graph of the second rocket different from the graph of the first rocket? Describe in terms of the vertical and horizontal shift.
What is the equation of the second rocket?
They launch the third rocket 3 seconds after the second rocket and from a 20-foot-tall platform. What will the graph of the third rocket look like? Describe in terms of the vertical and horizontal shift.
What is the equation of the third rocket?
Answer the following questions about the three rockets. Refer to the graph of rocket heights and times shown above.
a. Approximately when is the third rocket launched?
b. Approximately when does the first rocket land?
c. What is the approximate interval during which all three rockets are in the air?
Answers
Answer:
Regarding the conjecture of Serena and Jack:
Serena suggests that they can use the graph of the first rocket and shift it to find the graphs for the other two rockets. This means that the paths of the rockets are similar, and the only difference is the time of launch. Jack suggests that they need to recalculate the graphs for the other two rockets, which means that the paths of the rockets are different.
In this scenario, Serena is correct. Since the rockets are identical, they will follow the same path, but with a different time of launch. Thus, they can use the graph of the first rocket and shift it to the right to get the graph of the second rocket and shift it further to the right and up to get the graph of the third rocket.
Analyzing the equation:
The equation for the first rocket's path is h(t) = -6(t-3.7)^2 + 82.14. Assuming that the graph is a transformation from f(t) = -6t^2, the term -3.7 shifts the graph horizontally to the right by 3.7 seconds. This means that the first rocket was launched 3.7 seconds before the time t in the equation. The value t = 3.7 represents the time when the first rocket was launched.
The term 82.14 shifts the graph vertically up by 82.14 feet. This means that the initial height of the rocket is 82.14 feet above the ground. Therefore, the value h(t) = 82.14 represents the initial height of the rocket.
Equation of the second rocket:
The second rocket is launched 3 seconds after the first rocket. This means that the graph of the second rocket is a horizontal shift of the first rocket's graph by 3 seconds. Therefore, the equation of the second rocket is:
h(t) = -6(t-6.7)^2 + 82.14
This is because the launch time of the second rocket is t = 6.7 seconds (which is 3 seconds after the first rocket's launch).
Description of the third rocket's graph:
The third rocket is launched 3 seconds after the second rocket and from a 20-foot-tall platform. This means that the graph of the third rocket is a horizontal shift of the second rocket's graph by 3 seconds and a vertical shift upwards by 20 feet. Therefore, the equation of the third rocket is:
h(t) = -6(t-9.7)^2 + 102.14
This is because the launch time of the third rocket is t = 9.7 seconds (which is 3 seconds after the second rocket's launch).
Answers to the questions:
a. The third rocket is launched at approximately t = 9.7 seconds.
b. The first rocket lands when h(t) = 0. Solving -6(t-3.7)^2 + 82.14 = 0 gives t = 5.16 seconds (approximate).
c. The approximate interval during which all three rockets are in the air is from t = 6.7 seconds (when the second rocket is launched) to t = 14.46 seconds (when the first rocket lands).
Which graph represents y as a function of x?
Answers
Answer:
b
Step-by-step explanation:
For each pair of functions f, g below, find f(g(x)) and g(f(x))
Then, determine whether and are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all in the domain of the composition.
You do not have to indicate the domain.)
Answers
Answer:
See below
Step-by-step explanation:
Part A
\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)
Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other
Part B
\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)
Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other
Arrange the steps in order to simplify the expression
Answers
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
Does anyone know the answer and could you explain how you got your answer? THANK YOUU
Answers
Answer:
This would be a 60% increase
Step-by-step explanation:
40-25 and divided by 25 times 100
you should get 15/25 multiply it by 100=60%
The following contingency table gives the results of a sample survey of Sowetan male and female respondents regarding their preferred mobile phone service provider.
What is the probability of selecting a respondent who does not prefer Cell C?
a.
0.2250
b.
0.50
c.
0.3750
d.
0.65
e.
0.7750
Answers
The probability of selecting a respondent who does not prefer Cell C is 0.775
How to determine the probability?The complete question is in the attached image
From the attachment, we have
Prefer cell C = 90
Total = 400
So, the number of respondents that do not prefer cell C is
Do not = 400 - 90
Do not = 310
The probability is then calculated as:
P = 310/400
Evaluate
P = 0.775
Hence, the probability of selecting a respondent who does not prefer Cell C is 0.775
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Need help with those 3 questions
Answers
The general form of the solutions of the recurrence relation is
\(a_n = (A + B n + C n^2 + D n^3) 1^n + (E + F n + G n^2) (-2)^n + (H + I n) 3^n + (J + K n) (-4)^n,\)
We are given that;
Series=1, 1, 1, 1, -2, -2, -2, 3, 3, -4
Now,
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
If the characteristic equation has repeated roots, then the general solution is modified by multiplying each term by a polynomial in n whose degree is equal to the multiplicity of the root minus one. For example, if r is a root of multiplicity m, then the corresponding term in the general solution is
\(a_n = (A + B n + C n^2 + … + Z n^(m-1)) r^n,\)
where A, B, C, …, Z are arbitrary constants.
In this question, the characteristic equation has roots 1, 1, 1, 1, -2, -2, -2, 3, 3, -4. The root 1 has multiplicity 4, the root -2 has multiplicity 3, and the roots 3 and -4 have multiplicity 2 each.
\(a_n = (A + B n + C n^2 + D n^3) 1^n + (E + F n + G n^2) (-2)^n + (H + I n) 3^n + (J + K n) (-4)^n,\)
where A, B, C, D, E, F, G, H, I, J and K are arbitrary constants.
Therefore, by the equation answer will be \(a_n = (A + B n + C n^2 + D n^3) 1^n + (E + F n + G n^2) (-2)^n + (H + I n) 3^n + (J + K n) (-4)^n,\)
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Sam's age is 2 years less than 3 times Kim's age. If Kim's age is x years, which expression best shows Sam's age?
x
x − 1
2x − 3
3x − 2
Answers
Answer:
3x - 2
Step-by-step explanation:
3 times Kim's age (x), so 3x; minus 2 years (Sam's age).
Answer:
The answer is 3x - 2 :)
Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2
Which shapes are similar but not congruent to shape 1
Answers
There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.
There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.
One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.
A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.
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Which of the following is true for the function f(x)=2cos(x2)
a. The period is π
b. The period is π2
c. The period is 2π
d. The period is 4π
e. The period is 2
Answers
Answer:
c. The period is 2π
Step-by-step explanation:
The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.
For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.
This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)
Find the variable:
24 + 2p = 33
Answers
Answer:
p= 9/2
Step-by-step explanation:
Write the Plural! Spanish, help!!
Answers
Los examenes no son dificiles
Las chicas son inteligentes
Los son altos
Los señores son jovenes
I need help with this please
Answers
Answer:
C is correct answer.
Hope this is helpful. Thanks & Upvote it
Increase 2,400 by 5%
Answers
Increasing 2400 by 5% gives us 2520
we can increase the value by using the formula:
\(initial value+ percentage increase *initial value\) = increased percentage
in the aforementioned question we have
initial value = 2400
percentage increase = 5%
thus we can find out the increased percentage by:
2400 + 2400 X (5/100)
=2400 + 120
=2520
the value by which 2400 is increased is 120
to arrive at the increased value which is 2520
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What is the value of n?
Answers
Answer:
A. 95°Step-by-step explanation:
see attached
the diameter of a circle is 18in find its area to the nearest tenth
Answers
Answer:
approximately 254.5
btw area of circle= pi multiplied by radius
Step-by-step explanation: I got you bro
Answer: Circle area = π * r² = π * 81 [inch²] ≈ 254.47 [in²]
but because it asks for nearest tenth
254.5 in²
this is your real answer
6255 divided by 118 with a remainder
Answers
Answer:
53.008
Step-by-step explanation:
6255/118
The daily water consumption for an Ohio community is normally distributed with a mean consumption of 519,645 gallons and a standard deviation of 71,564 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 782,238 gallons. What is the probability of experiencing such a drop in water pressure
Answers
Answer:
0.0001
Step-by-step explanation:
The computation of the probability of experiencing such a drop in water pressure is shown below:
Given that
mean = 519,645 gallons
Standard deviation = 71,564 gallons
Now the probability is
= 1 - p (x - mean ÷ standard deviation < 782,238 - 519,645 ÷ 71,564)
= 1 - p(z<3.67)
= 1 - 0.9999
= 0.0001
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
Answers
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation: