White the greatest common factor of: 2700xy and 27y^3
Answers
Answer:
Step-by-step explanation:
2700x y = 3 * 3 * 3 * 2 * 2 * 5 * 2 * x * y
27y³ = 3 * 3 * 3 * y * y * y
GCF = 3*3*3*y
= 27y
Related Questions
An advertising company is purchasing a new industrial-sized color printer. The company has been approved for a $75,000 loan at two different
banks. The terms of each loan are:
Offer 1: 4.99% annual simple interest, with a total account balance of $91,529.38 after a 53-month term
Offer 2: 3.5% annual interest compounded monthly for a 62-month term
Assuming no payments are made, what is the difference in the account balances at the end of the loan terms. Round your answer to the nearest
penny.
O $1,624.49
$1,686.87
$1,894.02
O $2,207.67
Answers
The difference in the account balances at the end of the loan terms is given as follows:
$1,686.87.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for the offer 2 are given as follows:
P = 75000, r = 0.035, n = 12, t = 62/12.
Hence the balance of the offer 2 is given as follows:
B = 75000 x (1 + 0.035/12)^(12 x 62/12)
B = $89,842.51.
The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:
91529.38 - 89842.51 = $1,686.87.
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Estimate the value of 13 (between which two whole number)
Answers
Answer:
C
Step-by-step explanation:
between three and four
Problem 11. *
11. Grace has $6 to buy a gallon of milk and some apples. The gallon of milk costs $3.59 and the apples
cost $0.60 each. Which inequality could she use to find out how many apples she can buy?
A) 6 2 0.6x + 3.59
B) 6 S 0.6x + 3.59
C) 6 S 0.6x - 3.59
D) 6 2 0.6x - 3.59
Answers
Answer:
Step-by-step explanation:
a
A line passes through the point (-9,1) and has a slope of -2/3
Answers
Answer:
y - 1 = (-2/3)(x + 9)
Step-by-step explanation:
Here you are given a point on a line and the slope of the line. You'll need to apply the "point-slope" formula
y - k = m(x - h) (Memorize this)
Then m = slope = -2/3, h = -9 and k = 1.
Making the appropriate substitutions, we get:
y - 1 = (-2/3)(x + 9)
A triangle has sides with lengths of 49 cm, 68 cm, and 92 cm. Is it a right triangle?
Answers
If the triangle has sides with lengths of 49 cm, 68 cm, and 92 cm , then the triangle is not a Right Triangle .
If the Triangle is a right triangle , then the sides of the triangle should satisfy the Pythagoras Theorem which states that the sum of the square of two smaller sides is equal to square of longest side(hypotnuse) .
that means ⇒ (Hypotnuse)² = (Perpendicular)² + (Base)² ;
Substituting the longest value as 92 and other values as 49 and 68 ,
we get ;
⇒ 92² = 49² + 68² ;
⇒ 8464 = 2401 + 4624 ;
⇒ 8464 ≠ 7025 .
the sides 49 cm, 68 cm, and 92 cm do not satisfy Pythagoras theorem ,
Therefore , the side lengths do not form a Right Triangle .
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to properly measure the volume of water in a calibrated glass device, such as a graduated cylinder, one should________
Answers
The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.
A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.
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Pls help, mathmatics 50 points
Answers
The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106
What is a rectangle and its Properties ?A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.
Rectangles' essential characteristics are as follows:
A rectangle is a parallelogram.
Each inner angle is equal to 90 degrees and the opposite sides are parallel and equal to one another.360 degrees is the total of all interior angles.The diagonals cut each other in half, and both of them are equal in length.The perimeter of a rectangle with side lengths a and b is equal to 2a+2b units.The Perimeter of the rectangle is 2a + 2b where a and b are the two sides
Now , if w is the width of the rectangle then, the length is 4w given in problem.
Perimeter,
2w + 2* 4w
As it is given in the problem
2w + 2* 4w ≤ 106
The first model of inequality satisfy the problem.
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Three dogs can eat 3 bones in 3 days. If this efficiency is followed, how many bones can 9 dogs eat in 9 days?
Answers
Answer:
If three dogs can eat three bones in three days, we can assume that each dog eats one bone in three days. Therefore, in one day, one dog can eat one-third of a bone.
If nine dogs were to eat in the same efficiency, we can multiply the number of dogs by the fraction of bones each can eat per day. So, nine dogs can eat 3 times more than 3 dogs in a day, which is 3 x 3 = 9 bones. In one day, each dog can eat one-third of the bone, and therefore nine dogs will eat 9 x 1/3 = 3 bones.
This means that in nine days, nine dogs can eat 9 x 3 = 27 bones.
Efficiency = Work / Time
where Efficiency is the rate at which the dogs can eat bones, Work is the number of bones that can be eaten, and Time is the number of days.
From the given information, we know that:
Efficiency = 3 bones / 3 dogs / 3 days
Efficiency = 1 bone / 1 dog / 1 day
This means that one dog can eat one bone in one day, or that the efficiency is 1 bone per dog-day.
To find out how many bones 9 dogs can eat in 9 days, we can use the same formula:
Efficiency = Work / Time
where Efficiency is still 1 bone per dog-day, Time is 9 days, and we want to find out Work, which is the number of bones.
Work = Efficiency x Time x Number of dogs
Work = 1 bone / dog-day x 9 days x 9 dogs
Work = 81 bones
Therefore, 9 dogs can eat 81 bones in 9 days if they maintain the same efficiency as 3 dogs eating 3 bones in 3 days.
the price of a notebook has risen to $3.40 yesterday price was $3.15 find the percent increase round ur answer to the beset tenth of a percent
Answers
Answer:
7.9%
Step-by-step explanation:
The formula is P=x time 100, divided by y
the x is $0.25
the y is $3.15
0.25x100=25
25/3.15=7.936
rounded to the tenths place it's 7.9
the denominator of a rational number is greater then it's numerator is increased by 11 and the denominator is decreased by 1, the new number becomes 7/3. find the rational number.
Answers
Answer:
7/3
7 is increased by 11 so you decrease it by 11
7-11= -4
3 is decreased by 1 so you increase it by 1
3+1= 4
-4/4
_____ is a weighted average of the two estimates of _____. Group of answer choices Pooled variance; population standard deviation population standard deviation; pooled variance Pooled variance; population variance Variance; pooled variance
Answers
Pooled variance is the weighted average of two estimates of population variance, while population standard deviation refers to the standard deviation of a population. It is calculated to evaluate the variation of two independent samples when they have the same variance.
population standard deviation population standard deviation; pooled variance Pooled variance; population variance Variance; pooled variance" is: "Pooled variance; population standard deviation."In statistics, Pooled variance is defined as the weighted average of two estimates of the population variance, whereas population standard deviation refers to the standard deviation of a population. The formula for pooled variance is as follows:S²p = [(n1-1)S12 + (n2-1)S22] / (n1 + n2 - 2)Where S12 and S22 are the sample variances, and n1 and n2 are the sample sizes.The pooled variance is calculated in order to evaluate the variation of two independent samples when it is assumed that they have been drawn from populations with the same variance. When the population variances are not equal, it is not recommended to use the pooled variance as a measure of the variation. In conclusion, the term "pooled variance" is a weighted average of the two estimates of population standard deviation.
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Write a possible equation for a sine function that has a minimum point at (-3, 0) and a maximum point at (-9, 6).
Answers
The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3
From the case, we have:
Minimum point = (-3,0)
Maximum point = (-9,6)
The sinusoidal fuction would be in the form of:
y = A sin (Bx - C) + D
where:
A = amplitudo
B = 2π / Period
C = Phase shift
D = Midline
First, we need to find the amplitudo:
A = (Y max - Y min) / 2
A = (6 - 0) / 2
A = 3
Periode = (X max - X min) x 2
Periode = (-9 - (-3) x 2
Periode = -6
B = 2π / Periode
B = 2π / 6
B = 1/3 π
D = (Y max + Y min) / 2
D = (6 + 0) / 2
D = 3
We can use one point to find the value of C:
0 = 3 sin (π/3 (-3) - C) + 3
0 = 3 sin (π - C) + 3
-3 = 3 sin (π - C)
sin (π - C) = -1
(π - C) = 270
C = -1/2 π
C = - 90
Then the sinusiodal function would be:
y = 3 sin (πx + 90) + 3
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Simplify
1) 7a+ 1 + 2a + 3
Answers
QUESTION 14
Find all solutions between 0 and 360 degrees (answer in degrees in asending order):
2 sin x cosx + sinx =0
Answers
In ascending sequence, the solutions between 0 and 360 degrees:
\(\(0^\circ, 120^\circ, 180^\circ, 240^\circ\)\)\(\(0^\circ, 120^\circ, 180^\circ, 240^\circ\)\)
Use some trigonometric identities.
First, factor out the common term sin x from the equation:
\(\(\sin x (2 \cos x + 1) = 0\)\)
Set each component to zero and then solve for x:
1. \(\(\sin x = 0\)\)
The solutions to this part are \(\(x = 0^\circ\)\) and \(\(x = 180^\circ\)\)
2. \(2 \cos x + 1 = 0\)\)
Subtract 1 from both sides:
\(\(2 \cos x = -1\)\)
Divide both sides by 2:
\(\(\cos x = -\frac{1}{2}\)\)
The solutions to this part are \(x = 120^\circ\)\) and \(\(x = 240^\circ\)\)
As, \(\(\cos 120^\circ = \cos 240^\circ = -\frac{1}{2}\)\)
So, the solutions to the given equation in the interval \(\(0^\circ \leq x \leq 360^\circ\)\) are \(x = 0^\circ\)\), \(x = 120^\circ\)\) , \(x = 180^\circ\)\) and \(\(x = 240^\circ\)\).
These solutions are listed in ascending order: \(\(0^\circ, 120^\circ, 180^\circ, 240^\circ\)\)\(\(0^\circ, 120^\circ, 180^\circ, 240^\circ\)\)
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The midpoint of AB‾ is M (3,1). If the coordinates of A are (4,3), what are the coordinates of B?
Answers
Given the midpoint M(3, 1) and point A(4, 3),then the coordinates of point B are (2, -1).
To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M(x, y) between two points A(x1, y1) and B(x2, y2) are given by:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
Given that the midpoint M is (3, 1) and the coordinates of point A are (4, 3), we can substitute these values into the midpoint formula and solve for the coordinates of point B.
Let's calculate it step by step:
Step 1: Identify the known values
Coordinates of point A: (x1, y1) = (4, 3)
Midpoint coordinates: (x, y) = (3, 1)
Step 2: Apply the midpoint formula
x = (x1 + x2) / 2
3 = (4 + x2) / 2
Multiply both sides by 2:
6 = 4 + x2
Subtract 4 from both sides:
x2 = 6 - 4
x2 = 2
y = (y1 + y2) / 2
1 = (3 + y2) / 2
Multiply both sides by 2:
2 = 3 + y2
Subtract 3 from both sides:
y2 = 2 - 3
y2 = -1
Step 3: Determine the coordinates of point B
The coordinates of point B are (x2, y2) = (2, -1)
Therefore, the coordinates of point B are (2, -1).
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Big Ideas 5.2 Geometry
Answers
Answer:
33°
Step-by-step explanation:
You want angle M in the congruent triangles XYZ and MNL with angle N marked 124° and angle X marked 33°.
Corresponding anglesThe congruence statement tells you corresponding (and congruent) angle pairs are ...
X and M (33°)
Y and N (124°)
L and Z
The measure of angle M is 33°.
__
Additional comment
The measures of angles L and Z are 180° -124° -33° = 23°.
let g be a translation 2 units up, followed by a reflection in the x-axis and vertical stretch by a factor of 4 of the graph of f(x)=x2
Answers
The equation the function after the transformation is g(x) = -4x² - 8
How to determine the transformation of the function?The equation of the function is given as
f(x) = x²
The sequence of transformations is given as follows:
Translate up by 2 unitsReflection across the x-axisVertically stretched by a factor of 4When the above transformations are combined, we have:
Translate up by 2 units: g(x) = f(x) + 2Reflection across the x-axis: g(x) = -(f(x) + 2)Vertically stretched by a factor of 4: g(x) = -4(f(x) + 2)So, we have
g(x) = -4(x² + 2)
Expand
g(x) = -4x² - 8
Hence, the function g(x) is g(x) = -4x² - 8
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About 11% of the general population is left handed. At a school with an average class size of 30, each classroom contains four left-handed desks. Does this seem adequate
Answers
Based on the given information, it seems that the number of left-handed desks in each classroom is adequate.
Based on the given information, we can calculate the expected number of left-handed students in a classroom:
Expected number of left-handed students = (total number of students in a classroom) x (proportion of left-handed students in the population)
Expected number of left-handed students = 30 x 0.11
Expected number of left-handed students = 3.3
Since each classroom contains four left-handed desks, it seems that the number of left-handed desks is more than enough to accommodate the expected number of left-handed students. In fact, there may even be some unused left-handed desks in each classroom.
Therefore, based on the given information, it seems that the number of left-handed desks in each classroom is adequate.
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Imagine a population of adult sockeye salmon in a stream in a remote area of Alaska. When they reach adulthood, sockeye salmon develop a hump on their back, but there is variation in how large of a hump a given fish will develop. Let's say that the size of the hump is determined by a single gene and that this gene has two incompletely dominant alleles: H alleles code for large humps, and h alleles code for small humps. Individuals with a copy two H alleles have very large humps, individuals with two h alleles have very small humps, and individuals that have both alleles develop an intermediate sized hump. Let's also say that bears have recently invaded the area around this stream and that bear predation is known to be a major source of mortality for these salmon where they co-occur with bears, and it is documented that bears preferentially eat individuals with either very large humps or individuals with very small humps. Therefore, in areas with bears, the individuals with Hh genotype have the highest fitness of any in the population, as they are least preyed upon by bears. Let's assume that the population previously existed in Hardy-Weinberg equilibrium (HWE), but now is undergoing HWE with the influence of selection (but no other significant evolutionary forces). Imagine that a fisheries biologists contacts you and asks you what the equilibrium frequency will be of the two alleles in the population. What pieces of information would you need to know in order to answer the biologist's question? (Select all that apply from the list below)A. The selection coefficient (t) of the hh genotype/phenotype. B. The starting frequency of the h allele. C. The selection coefficient (s) of the HH genotype/phenotype. D. The parameters of the Delimited Individual Chance Estimators (DICE). E. The linkage disequillibrium coefficient (D). F. The synapomorphy (or synapomorphies) for the family Salmonidae. G. The starting frequency of the Hallele. H. The coefficient of least probability (z). I. The coefficient of maximum incredulity (i).
Answers
1) the selection coefficient (t) of the hh genotype/phenotype.
2) The starting frequency of the h allele.
3) The starting frequency of the H allele.
4) the selection coefficient of the HH genotype/phenotype.
What is the frequency?
The frequency of a periodic wave shape or signal at a given amplitude is expressed as an expression. It is measured in hertz (Hz), kilohertz (kHz), megahertz (MHz), and other units. The frequency of a specific data value is the number of times the data value appears.
Here, we have
Given: Let's say that the size of the hump is determined by a single gene and that this gene has two incompletely dominant alleles: H alleles code for large humps, and h alleles code for small humps. Individuals with a copy of two H alleles have very large humps, individuals with two h alleles have very small humps, and individuals that have both alleles develop an intermediate-sized hump.
We have to select all that apply from the list.
We concluded that:
1) the selection coefficient (t) of the hh genotype/phenotype.
2) The starting frequency of the h allele.
3) The starting frequency of the H allele.
4) the selection coefficient of the HH genotype/phenotype.
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Please help with assignment (Due today)
Calculate the area of the shaded region in each figure. Use 3.14 for pi and round to the nearest hundredth, if necessary.
Answers
Answer:to question 1:55
Step-by-step explanation: area of purple 10 * 8=80 and then we subtract the area of the circle which is 25 so 80 minus 25=55
I did this like 3 weeks ago in 7 grade advance maths.
An item is marked down to 9 over 10 of its original value and then is further marked down to 7 over 10 of that.
What portion of the value of the item remains?
Answers
Answer:
To find the portion of the value of the item that remains, we need to multiply the two discount percentages:
9/10 * 7/10 = 63/100
This means that 63% of the original value of the item remains after the two discounts have been applied. Alternatively, we can say that the item is being sold for 63% of its original value.
Jada's sister earns a commission. She makes 3.5% of the amount she sells. Last week she sold $7,000 worth of furniture. How much was her commission
Answers
Answer:
65
Step-by-step explanation:
ghjthergsfadfghjyujt
Solve for angle P to the nearest hundredth.
Answers
Answer:
p=14
Step-by-step explanation:
12 pencils cost 1.80 pounds. How many pencils can be bought for 6 pounds?
Answers
Answer:
Step-by-step explanation:i think to answer is either 90p or 9p
Answer:
90p or 9p
Step-by-step explanation:
What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and 25.50 in year 2?
Answers
The year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
To calculate the rate of inflation and the Consumer Price Index (CPI) change from year 1 to year 2, we need to follow these steps:
Step 1: Calculate the inflation rate:
Inflation Rate = (Year 2 CPI - Year 1 CPI) / Year 1 CPI
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = (Year 2 Basket Price / Year 1 Basket Price) * 100
Let's calculate the values:
Year 1 Basket Price = $25.00
Year 2 Basket Price = $25.50
Step 1: Calculate the inflation rate:
Inflation Rate = ($25.50 - $25.00) / $25.00
Inflation Rate = $0.50 / $25.00
Inflation Rate = 0.02 or 2%
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = ($25.50 / $25.00) * 100
Year 2 CPI = 1.02 * 100
Year 2 CPI = 102
Therefore, the year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
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A group of 10 students took tests in math, English, and chemistry.
The scatter plots compare the students’ scores on the tests
Complete the sentences to describe the data.
The math and English scores show
a positive correlation
a negative correlation
no correlation
The math and chemistry scores show
a positive correlation
a negative correlation
no correlation
Answers
The correlation of the scatterplots are defined as;
The math and English scores show; A positive correlation.
The math and chemistry scores show; A negative correlation
What is the correlation of the scatterplot?In correlation in statistics, it could either be positive correlation, negative correlation or no correlation at all.
A positive correlation is defined as a relationship between two variables that tend to move in the same direction. Thus, a positive correlation exists in the event that one variable tends to decrease while the other variable decreases, or one variable tends to increase while the other variable increases.
A negative correlation is defined as a relationship between two variables whereby one variable increases while the other decreases, and vice versa.
No correlation means there is no relationship between the two variables.
Now, for scatterplot of the math and English scores shown, we see that majority of the english scores increase as the maths scores increase and as sch it is a positive correlation.
Meanwhile, for the math and chemistry scores shown, majority of the maths score decreases with an increase in the chemistry score and as such this is a negative correlation.
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What is the sum of the first 6 terms of the sequence defined by an = 3n - 2?
Answers
Answer:
51
Step-by-step explanation:
when n=1
t 1=1when n=2
t2=4
as first term is 1 and second term is 4 so the common difference is 3 ,for 6 term if you put this in formula for sum to the n term you will get 51
t1 =1
d=3
n=6
than S6=51
Hi . i'm kinda stuck on this question .
Any help will be appreciated.
Please show workings ;
Solve the following expressions using laws of logarithm and using antilogarithm ;
1.\(\sqrt{69.5^2-30.5^2}\)
2. \(\frac{371.2^\frac{1}{3}\times 76500 }{1125 \times 0.012}\)
Answers
Answer:
62.4499840725.2396667Step-by-step explanation:
Refer to https://brainly.com/question/17913554 for the formulas and the method if not clear here1.................................................
√69.5^2 - 30.5^2 = √(69.5+30.5)((69.5- 30.5) =√100*39 =10√39 =antilog (log (10√39)) =antilog (1 + 1/2 log 39)= antilog (1 + 1/2*1.59106460703) =antilog (1.79553230351) =62.449982..................................................
371.2^(1/3)×76500/(1125×0.012) =371.2^(1/3)×76500/13.5 =371.2^(1/3) × 5666.66666667Solving the first part
antilog (log (371.2^(1/3))) = antilog (1/3 log(371.2)) =antilog (1/3*2.56960796755) =antilog (0.85653598918) = 7.186807Continuation
7.186807× 5666.66666667 = 40725.2396667Note. the numbers are not rounded
Hope it helps.
Kai, a seventh grader, wants to determine the average number of times the families in his neighborhood visit the pool during the summer. He samples the families of four of his classmates. Which improvements could Kai make to his sample to increase the validity of the results? Select three choices.
sample more families
sample families that have children who are not in seventh grade
sample families that regularly use the pool
sample families whose answer to the survey question is predetermined
sample families living in every third house in the neighborhood
Answers
Answer:
a b e
Step-by-step explanation:
Answer:
sample more families
sample families that have children who are not in seventh grade
sample families living in every third house in the neighborhood
Step-by-step explanation:
correct 0.34213 to three significant figures
Answers
Answer:
0.342
Step-by-step explanation:
round to the given amount of significant figures