Find the GCF of the following set of numbers
260, 80, 50
Answers
Answer:
10
Step-by-step explanation:
The factors of 50 are: 1, 2, 5, 10, 25, 50
The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 260 are: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
In all of these numbers, we can see that 10 is common throughout and 10 is also the greatest factor all these numbers share.
Hope this helps you :)
Explanation:
Related Questions
On one day, the stock of Seraj Food Technologies went up by 30%. The next day, the stock fell by 30% Over the two days, the stock fell overall by "x" percent. What is "x"?
Answers
Answer:
x = 9
Step-by-step explanation:
The first day, the value was multiplied by 1+30% = 1.30.
The second day, the value was multiplied by 1-30% = 0.70.
Over the 2-day period, the value was multiplied by 1+x%:
1 -x/100 = (1.30)(0.70) = 0.91
x/100 = 1 -0.91
x = 9
The stock fell by 9% overall.
PLEASE SOMEONE HELP MEEE
Answers
Answer:
Alternate interior angle
Step-by-step explanation:
Hope this helps.
Answer:
your answer is A ....
Find the amount of periodic payment necessary for the deposit to a sinking fund. (Round your answer to the nearest cent.)
$ X
Amount Needed Frequency Rate Time
A n r t
————————————————————————
$85,000 quaterly 1,4 % 5 yr
Answers
The amount of the periodic payment necessary for the deposit to a sinking fund is approximately $18,065.19.
To find the amount of the periodic payment necessary for the deposit to a sinking fund, we can use the formula for the future value of an ordinary annuity. The formula is:
X = A * (1 + r)^nt / [(1 + r)^nt - 1]
Where:
X is the amount needed
A is the periodic payment
r is the interest rate per period
n is the number of compounding periods per year
t is the total number of years
Given the information:
Amount Needed (X) = $85,000
Frequency: Quarterly
Rate (r) = 1.4% (or 0.014 as a decimal)
Time (t) = 5 years
Since the frequency is quarterly, the number of compounding periods per year (n) is 4.
Substituting the values into the formula:
$85,000 = A * (1 + 0.014)^(4*5) / [(1 + 0.014)^(4*5) - 1]
Simplifying the equation:
$85,000 = A * (1.014)^20 / [(1.014)^20 - 1]
To find the value of A, we can rearrange the equation:
A = $85,000 * [(1.014)^20 - 1] / (1.014)^20
Using a calculator or spreadsheet, we can calculate the value of A.
A ≈ $85,000 * 0.298 / 1.350
A ≈ $18,065.19
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(PLZ HELP I ONLY HAVE 11 DAYS LEFT OF SCHOOL) If Wendell were to slice the doghouse with a plane parallel to the two sides through any section of the doghouse, what shape would the slice be?
Answers
a shape of a right triangle
Answer:
Right Triangle
Step-by-step explanation:
Tickets to a school dance cost $5. Ninety tickets have already been sold. How many more tickets x must be sold to earn at least $700? Write your answer as an inequality.
Answers
Step-by-step explanation:
5x90=450
700-450=250
250/5=50
50 more tickets.
i don't know if that's in an inequality form or not. but that's how many tickets
Determine the magnification value of the proportional controller (P), the integral proportional controller (PI), and proportional controller of integral derivatives (PIDs) using the Ziegler Nichols method for the following process: Gp(s) = 10/ (s + 2)(2s + 1) Take Gm(s)-Gf(s)-1.
Answers
To determine the magnification values of the proportional controller (P), the integral proportional controller (PI), and proportional controller of integral derivatives (PID) using the Ziegler-Nichols method, we need to follow a few steps. I'll guide you through the process:
Step 1: Determine the open-loop transfer function (Gm(s)) of the process. Given:
Gp(s) = 10/((s + 2)(2s + 1))
To obtain the open-loop transfer function, we need to set the controller gain to 1. Therefore, Gm(s) = Gp(s).
Step 2: Find the frequency at which the magnitude of Gm(s) crosses 0 dB (decibels). This frequency is called the ultimate frequency (fu). We can determine fu by finding the frequency at which the phase angle of Gm(s) is -180 degrees.
Step 3: Calculate the ultimate gain (Ku) at the ultimate frequency (fu). Ku is the magnitude of Gm(s) at fu.
Step 4: Use the values of fu and Ku to determine the appropriate controller gains based on the Ziegler-Nichols method.
Now, let's calculate these values.
Step 1: Open-loop transfer function (Gm(s)) is the same as Gp(s):
Gm(s) = 10/((s + 2)(2s + 1))
Step 2: To find the ultimate frequency (fu), we need to find the frequency at which the phase angle of Gm(s) is -180 degrees.
At s = jω (where j is the imaginary unit), the magnitude of Gm(s) is given by:
|Gm(jω)| = 10/|((jω + 2)(2jω + 1))|
To find the frequency at which the phase angle is -180 degrees, we need to solve the following equation:
arg(Gm(jω)) = -180 degrees
Step 3: Once we determine the ultimate frequency (fu), we can find the ultimate gain (Ku) at that frequency by substituting ω = 2πfu into |Gm(jω)|.
Step 4: Based on the Ziegler-Nichols method, we can determine the controller gains as follows:
Proportional Controller (P):
Gain (Kp) = 0.5 * Ku
Integral Proportional Controller (PI):
Gain (Kp) = 0.45 * Ku
Integral Time (Ti) = Tu/1.2
Proportional Controller of Integral Derivatives (PID):
Gain (Kp) = 0.6 * Ku
Integral Time (Ti) = Tu/2
Derivative Time (Td) = Tu/8
Now that we have the steps and formulas, let's calculate the values for the given process.
Step 2 (cont.): Solving the equation arg(Gm(jω)) = -180 degrees, we find:
10/|((jω + 2)(2jω + 1))| = -180 degrees
By evaluating the expression above for various ω values, we find that ω = 3.16 rad/s is the frequency at which the phase angle is -180 degrees.
Step 3 (cont.): Substituting ω = 2πfu = 2π * 3.16 rad/s into |Gm(jω)|, we get:
|Gm(jω)| = 10/|((j * 3.16 + 2)(2j * 3.16 + 1))|
Calculating the magnitude, we find that Ku = 2.53.
Step 4 (cont.): Now, using the Ku value, we can calculate the appropriate controller gains:
Proportional Controller (P):
Kp = 0.5 * Ku = 0.5 * 2.53 = 1.265
Integral Proportional Controller (PI):
Kp = 0.45 * Ku = 0.45 * 2.53 = 1.1385
Ti = Tu/1.2 = 3.16/1.2 = 2.6333
Proportional Controller of Integral Derivatives (PID):
Kp = 0.6 * Ku = 0.6 * 2.53 = 1.518
Ti = Tu/2 = 3.16/2 = 1.58
Td = Tu/8 = 3.16/8 = 0.395
To summarize, the magnification values for the Ziegler-Nichols method are as follows:
Proportional Controller (P):
Gain (Kp) = 1.265
Integral Proportional Controller (PI):
Gain (Kp) = 1.1385
Integral Time (Ti) = 2.6333
Proportional Controller of Integral Derivatives (PID):
Gain (Kp) = 1.518
Integral Time (Ti) = 1.58
Derivative Time (Td) = 0.395
These values can be used to configure the respective controllers for the given process.
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To find P(−1.99 ≤ z ≤ 0.46), subtract the area to the left of z = −1.99 from the area to the left of z = 0.46. Tables can be used to find areas to the left of z values. Along the leftmost column are values of z precise to one decimal place. Trace along the necessary row until you get to the column for the needed hundredths place. The value where the row and column intersect is the area under the curve to the left of that z value. z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 −2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 −1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 −1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 Use the table excerpt above to find the area under the standard normal curve to the left of z = −1.99, P(z ≤ −1.99). P(z ≤ −1.99) = Incorrect: Your answer is incorrect. z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 Use the table excerpt above to find the area under the standard normal curve to the left of z = 0.46, P(z ≤ 0.46). P(z ≤ 0.46) =
Answers
The area under the standard normal curve between z = -1.99 and z = 0.46 is approximately 0.6539.
To find the area under the standard normal curve to the left of z = -1.99, we can use the provided table. We locate the row for z = -1.9 and find the column for the hundredths place, which is 0.09. The value where the row and column intersect is 0.0233. Therefore, the area to the left of z = -1.99 is 0.0233.
To find the area under the standard normal curve to the left of z = 0.46, we locate the row for z = 0.4 and find the column for the hundredths place, which is 0.06. The value where the row and column intersect is 0.6772. Therefore, the area to the left of z = 0.46 is 0.6772.
Now, to find P(-1.99 ≤ z ≤ 0.46), we subtract the area to the left of z = -1.99 from the area to the left of z = 0.46:
P(-1.99 ≤ z ≤ 0.46) = P(z ≤ 0.46) - P(z ≤ -1.99)
= 0.6772 - 0.0233
= 0.6539
Therefore, the area under the standard normal curve between z = -1.99 and z = 0.46 is approximately 0.6539.
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Part b
calculate the perimeter of each quadrilateral and the ratio of the perimeters. round your answers to the hundredths place.
Answers
The perimeter of the quadrilateral illustrated is 30cm.
How to calculate the perimeter?The information is incomplete. Therefore, an overview will be given. It should be noted ha perimeter simply means the addition of the sides given.
Let's assume that that we've a rectangle with length and width of 10 and 5cm.
The perimeter will be:
= 2(l + w)
= 2(10 + 5)
= 30cm
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if X to the second power is 20, what is the value of X????????? can someone please help meeeeeee
Answers
Answer:
\( {x}^{2} = \: 20 \\ \sqrt{x \: {}^{2} } = \sqrt{20} \\ x = 4.472135955\)
Answer:
x = 2√5
Step-by-step explanation:
Hi there !
x² = 20
x² = 4×5
x² = 2²×5
x = √2²×5
x = 2√5
Good luck !
16. A sweater is marked 30% off during an
end of the season sale. If the sweater was
originally $56.00, how much was the sweater
on sale for?
Answers
Step-by-step explanation:
o. ac. pc
100 30. 130
56000 x AC
AC=(130x56000)/100
Sweater costs 56.00
To calculate the discounted price of the sweater
56 * (30/100) = 16.8
We used (30/100) to find out the 30 percent of the sweater which will be on discount/reduced.
56-16.8=39.2 is the discounted price
Then we subtract the amount of discount from the original price of sweater to find out the discounted price.
Five less than a number divided by two is three.
Help anyone??
Answers
Answer:
16
Step-by-step explanation:
x/2-5=3
+5. +5
x/2=8
x2. x2
x=16
hopes thus helps
Answer:
11 (im pretty sure)
Step-by-step explanation:
3 = n/2 - 5
6 = n - 5
11 = n
Kenishe packs 3 crates of merchandise the crates have masses of 65 kg 72 kg and 42 kg how many kg of merchandise does Kenisha pack
Answers
As Kenisha packs three crates of merchandise having masses of 65kg , 72 kg and 42 kg, he or she packs total of 179 kg of merchandise.
Kenisha has 3 crates of merchandise.
Each of the crates have different masses, those are as : first crate has mass 65 kg, second has mass of72 kg and third case has mass of 42 kg.
By simple addition rule we get,
The total masses of three crates is = (65 + 72 + 42) kg
=179 kg
Thus, Kenisha has packed 179 kg of merchandise as he or she has packed three crates having masses 65 kg, 72kg and 42kg.
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4.OA.2: The Turner family uses 548 liters of water per day. The Hill family uses 3 times as much water per day. How much more water does the Hill family use per day?
Answers
Answer:
1096 more water
Step-by-step explanation:
Let;
x = the water used in general
but used 3 times of the original = 3x
3*(548) = 1644 water a day
How much more water =New - original
where:
new = 1644
original= 548
1644 - 548
=1096 more water
The source from which property tax revenue can be obtained is the value of the total tax ____________ less the value of property that is ____________ from property taxes.
Answers
Base, Exempt. The source from which property tax revenue can be obtained is the value of the total tax base less the value of property that is exempt from property taxes.
Property tax is a tax on the value of real estate or other property. The tax base for property tax is the total value of all taxable property in a jurisdiction, such as a city or county. This tax base is used to calculate the amount of property tax revenue that can be collected.
However, not all property is subject to property tax. Some types of property may be exempt from property taxes, such as government-owned property, religious properties, or properties used for charitable purposes. The value of exempt property is subtracted from the total tax base to determine the taxable value of property, which is then used to calculate the amount of property tax revenue that can be obtained.
Therefore, the source from which property tax revenue can be obtained is the value of the total tax base less the value of property that is exempt from property taxes.
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A town doubles its size every 30 years. If the population is currently 500, what will the population be in 120 years?
Answers
Answer:
2000 is it answer
i hope its right ✅
Hi,
This question is incomplete. What is the start year of counting?
(1). Consider the 3×3 matrix 1 1 1 2 1 003 A = 0 Find the sum of its eigenvalues. a) 7 b) 4 c) -1 d) 6 e) none of these
Answers
The sum of eigenvalues of a matrix A is equal to the trace of matrix A. Here, the trace is 5, so the sum of eigenvalues is 5.
Trace of a square matrix is the sum of its diagonal entries. Eigenvalues of a square matrix are the values which satisfy the equation det(A- λI) = 0, where I is the identity matrix of the same size as A. Here, the given matrix A is a 3x3 matrix with its diagonal entries as 1, 1, and 3.
Therefore, trace(A) = 1+1+3 = 5.
Also, det(A- λI)
= (1- λ) [ (1- λ)(3- λ) - 0] - (1) [ (2)(3- λ) - 0] + (1) [ (2)(0) - (1)(1- λ)]
= λ3 - 5λ2 + 6λ - 2
= (λ - 2)(λ - 1)(λ - 1).
Now, the eigenvalues are 2, 1 and 1. The sum of these eigenvalues is 2+1+1 = 4.
Therefore, option (b) 4 is incorrect. The correct answer is option (a) 7 as the sum of the eigenvalues of matrix A is equal to the trace of matrix A which is 5.
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2) The school that Imani goes to is selling tickets to the annual dance competition. On the first day
of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $252.
The school took in $98 on the second day by selling 6 senior citizen tickets and 1 student ticket.
What is the price each of one senior citizen ticket and one student ticket?
Answers
The price of each ticket is given as follows:
Senior: $14.Student: $14.How to obtain the prices?The prices for each type of ticket are obtained via a system of equations, for which the variables are given as follows:
Variable x: price of a senior ticket.Variable y: price of a student ticket.On the first day of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $252, hence:
12x + 6y = 252
2x + y = 42 (simplifying by 6).
y = 42 - 2x.
The school took in $98 on the second day by selling 6 senior citizen tickets and 1 student ticket, hence:
6x + y = 98
y = 98 - 6x.
Equaling the two equations, the value of x is obtained as follows:
42 - 2x = 98 - 6x
4x = 56
x = 56/4
x = 14.
Then the value of y is of:
y = 98 - 6(14)
y = 14.
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Sally works 29 hours in a week. If she makes $9.45 an hour, what is her gross pay for the week
Answers
Answer:
29 hours X $9.45 = 274.05
Step-by-step explanation:
29X9.45= 274.05
Answer:
$274.05 is her gross pay for the week.
Step-by-step explanation:
$9.45 × 29 hours = $274.05
Solve for A. W = A/7
Answers
Answer:
a=7w
Step-by-step explanation:
w = a/7 multiply both sides by 7
7(w) = 7(a/7) the 7 in a/7 gets canceled out
7w=a
therefore a=7w
Describe the signs (positive/negative) of the coordinate in each of the regions shown below. Then give one point contained within each region.
Answers
Answer:
A = positive
B = positive, negative
C = negative
D = positive, negative
Answer:
A Positive coordinates (5,5) B Negative and Positive coordinates (-5,5) C Negative coordinates (-5,-5) D Negative and Positive coordinates (5,-5)
Step-by-step explanation:
Pls mark brianlist hope this helps .
Use the number line below to calculatex: 0 DAT В. O C. 12 16 12 D. 1/2 3 6 4 6 5 6
Answers
Answer: \(\frac{4}{12}\)
Step-by-step explanation:
1 * 4 = 4
2 * 6 = 12
(1 * 4) / (2 * 6)
=> 4 / 12
Answer:
4/12
Step-by-step explanation:
16. What is the solution when you take the square root of a negative number? A. Any positive value B. No Solution C. Any negative value D. All Solutions
Answers
Answer:
A: Any positive value
Step-by-step explanation:
Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.
Answer:
A: Any Postive value or B: No Solution
Step-by-step explanation:
Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.
a cubic block of concrete is 0.255 meters on a side. what is the volume of this block in cubic decimeters?
Answers
Answer:
We can convert the dimensions of the cubic block from meters to decimeters, since there are 10 decimeters in a meter.
0.255 meters = 2.55 decimeters
The volume of a cube is given by the formula:
Volume = (side length)^3
Plugging in the given value of 2.55 decimeters, we get:
Volume = (2.55 dm)^3
Volume = 16.419375 dm^3
Therefore, the volume of the cubic block in cubic decimeters is approximately 16.42 dm^3.
The volume of this block in cubic decimeters is 0.255 meters on a side is 0.000251485 dm³
The volume of the cubic block of concrete can be found by calculating the volume of a cube. The formula for the volume of a cube is V = s^3, where s is the length of the side of the cube.
The side of the cube is 0.255 meters, so the volume is calculated by cubing 0.255.
The volume of the block is 0.0251485m^3.
1m^3 = 1000dm^3.
So, the volume of the block in cubic decimeters is 0.000251485dm^3.
To summarize, the volume of a cubic block of concrete that is 0.255 meters on a side is 0.000251485 dm³.
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if you were given the following statements write your conclusion
if you are given :
Answers
Answer:
ab and cd intersect at E because they are vertically opposite angles they always intersect at a point
what single percentage change is equivalent to a 19% increase followed by a 7% decrease
Answers
What percentage of the shape is pink?
Write your answer using a percent sign (%).
Answers
Answer:
Step-by-step explanation:
It is 20% because there is 5 squares. So we need to make this a fraction. So the fraction would be 1/5. So we then have to find a multiple for 1/5 because it is out of 100. So 20x5=100. So we have to multiply the top and the bottom part of the fraction by 20. So 5x20=100 and 1x20=100. So then we get 20/100. So the top number is your percent. So 20% is your answer. Good luck.
To the nearest integer, about how many times larger is 20 x 10 exponent 2 compared with 4 x 10 exponent -1?
Answers
Answer:
100
Step-by-step explanation:
5 x 10^6 = 5,000,000
vs
5 x 10^4 = 50,000
100
Answer:
5 times greater
Step-by-step explanation:
20÷4 =5 so yea
In the expression, 12x³ +8x² + 5x + 9, what is the constant?
3
8
12
9
Answers
Answer:
9
Step-by-step explanation:
See the attached image.
boxplot statistics question - see image below
Kristiana collected data on the amount of time in minutes each person in a large sample of customers spent in a local sporting store. The data also included recording the gender for each customer. These data were used to generate the boxplots shown to the right.
a. the range in the amount of time in minutes males in the sample of customers spent in the store is approximately 40 minutes.
b. the mean amount of time in minutes in the sample of customers spent in the store is approximately 20 minutes.
c. the third quartile of the amount of time in minutes males in the sample of customers spent in the store is approximately 45 minutes.
d. the interquartile range of the amount of time in minutes females in the sample customers spent in the store is 15 minutes.
e. approximately half of the males in the sample of customers spent at least as much time in the store as any females in the sample of customers.
Answers
The option that correctly describes the given box plot is; e. approximately half of the males in the sample of customers spent at least as much time in the store as any females in the sample of customers.
How to interpret boxplot in statistics?A box plot is defined as a method for graphically showing the locality, spread and skewness groups of numerical data through their quartile.
Some of the terms in box plot is as follows;
Minimum Score; This is the lowest score, that excludes the outliers (located at the end of the left whisker).
Lower Quartile; This is twenty-five percent of scores that fall below the lower quartile value (the first quartile).
Median; This is the mid-point of the data and is shown by the line that divides the box into two parts.
Now, looking at the box plot in the given attachment, we see that the middle line on a boxplot graph is the same as the median of the data, which for the males was equivalent to the highest value for females. This tells us that approximately half of the males spent more time in the store than any females.
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Solve the problem.
Determine the resultant effect of three people pulling on a car as shown in the drawing
a = 75.0 lb, b = 77.0 lb, c = 52.0 lb, d = 32°, e = 22°
