Answer:
Hello!
Great question!
The correct answer would be "Common Factor."
Step-by-step explanation:
It is a common factor when it is a factor of two (or more) numbers.
The number which can be divided out of each term in an expression is called the GCF or greatest common factor of that number.
What is GCF (greatest common factor)?GCF or greatest common factor is the common number which all the term has in a group of terms. It is the number which can divide each number of the group.
For example, let a group of number as,
[tex]\{1,2,4,8,16\}[/tex]
The number which can be divided out of each term in this data is 16 which is the greater common factor of this data set.
Thus, the number which can be divided out of each term in an expression is called the GCF or greatest common factor of that number.
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A travel bureau estimates that when 20 tourists go to a resort with ten hotels. find the probability that no hotel is left vacant when the first group of 20 tourists arrives.
The solution for this problem is:
One way to solve is to using the "stars and bars" approach, but this could be the other one:
x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 = 20
then use (20+10-1) C(10-1), this will
result to 29C9.
Then find the way to distribute x
as a result, (20-10+10-1) C (10-1) = 19C9
Thus, the probability is 19C9/29C9 or 0.0093
a rectangular flower bed is five feet longer than it is wide. its area is eighty-four square feet.
What are its dimensions?
Show all work using an equation
(6.03) How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a numeric value only.)
Answer:
four is not correct i don't have the answer just don't want you to get it wrong
Step-by-step explanation:
Michael's score is 586. moises' score is 754. michael estimates he needs about 200 more points to reach moise' score. explain how michael came up up with his estimate what strategy did he use
Jackson has 50 megabytes (MB) of space left on his smartphone. He can download songs that each use 3.5 MB or videos that each use 7 MB. He wants to download at least 10 new media files. Which pair of inequalities specifies the number of song files, x, and the number of video files, y, that Jackson can download?
A scientist has a 120 mg sample of an unstable isotope. The amount of the substance remaining in the sample decreases at a rate of 16% each day. At the end of t days, there is less than 30 mg of the substance remaining. Which inequality represents this situation, and after how many days will the sample size remaining be less than 30 mg?
Answer:
Step-by-step explanation:
Got it correct on Edmentum
Can someone please help me with this question?
What's the sum of 2⁄5 and 2⁄4?
How many solutions does the equation have?
2x + 3 = 4x + 2
A. No solutions
B. One solution
C. Many solutions
The equation will have only one root.
What is 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.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" symbol and terms on both sides must always be present when writing an equation. Equal treatment should be given to each party. Multiple terms, operators, and variables are not required on each side of an equation.
Given equation:
2x + 3 = 4x + 2
On solving
2x - 4x = 2-3
-2x = -1
x= -1/(-2)
x= 1/2
Also, the equation as only one variable of degree one which implies that it will have only one solution.
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How do you do 6p-(5p+5)=-8-2(p+12)
geometry help will give brainliest
Jackie has cheering practice on Thursday and Friday if it doesn't rain. Thursday there is a 20% chance of rain and Friday there is a 40% chance of rain. What percent chance is there that it will rain on both Thursday and Friday?
Find the measure of angle Q
The value of ∠Q in the figure is 146⁰.
How to determine the value of The value of ∠Q in the figure.
From the figure
Given
∠P = 2x + 10
∠R = 6x - 4
In ∆PQR
∠P + ∠Q + ∠R = 180⁰(sum of angles in triangle)
Substitute
2x + 10 + ∠Q + 6x - 4 = 180
8x + 6 + ∠Q = 180
But m∠P = m ∠R(base angles of issoceles triangle)
2x + 10 = 6x -4
-4x = -14
x = 7/2
Substitute into 8x + 6 + ∠Q = 180
8(7/2) + 6 + ∠Q = 180
28 + 6 + ∠Q = 180
34 + ∠Q = 180
∠Q = 180 - 34
= 146⁰
The value of ∠Q is 146⁰
Write the conversion factor for converting meters to centimeters.
Answer:
1 meter = 100 centimeter
Step-by-step explanation:
A conversion factor is a numerical value that we use to change one set of unit to another set by performing actions like multiplication or division. When we are converting something, we must use the appropriate conversion factor of an equal value. Few conversions are :
1 meter = 100 centimeter
1 kilometer = 1000 meter
1 foot = 12 inches
1 gallon = 4.54 liters
We want the conversion factor for converting meters to centimeters. this is 1 m = 100 cm.
The perimeter of the isosceles ABC with the base BC is equal to 40 cm. Perimeter of the equalateral BCD is 45 cm. Find AB and BC
Which statement is needed to fill in the blank in this syllogism?
If a polygon is a rectangle, then ____________________.
If a polygon has four sides, then it is a quadrilateral.
Therefore, if a polygon is a rectangle, then it is a quadrilateral.
a polygon has four sides
Not enough information.
a polygon is a quadrilateral
a polygon is a rectangle
Your company purchased 23 computers for $29,803.86. How much will it cost to buy 15 more of the same computer?
What is the slope of a line parallel to the line 4x - 7y = -14?
Final answer:
The slope of a line parallel to the line 4x - 7y = -14 is determined by converting the equation to slope-intercept form, revealing that the slope is 4/7. Thus, any line parallel to it will have the same slope of 4/7.
Explanation:
The slope of a line parallel to the line 4x - 7y = -14 is first determined by rewriting the given line in slope-intercept form (y = mx + b), where m represents the slope. For the line 4x - 7y = -14, we can solve for y to find the slope:
Add 7y to both sides: 4x = 7y - 14.
Then add 14 to both sides: 4x + 14 = 7y.
Finally, divide every term by 7 to solve for y: (4/7)x + 2 = y.
The slope of the line is 4/7. Since parallel lines have equal slopes, any line parallel to the given line will also have a slope of 4/7.
The ________ is another term for the variance of the sample data. mean square between mean square total mean square within total sum of squares
The term 'mean square within' (MSwithin) refers to the sample variance in a set of data, which is computed by dividing the sum of squares within (SSwithin) by its degrees of freedom. This term is used in ANOVA to estimate how much variation within the sample data is due to chance.
Explanation:The term mean square within (MSwithin) is another term for the variance of the sample data. MSwithin represents the variance within groups.
To calculate this variance, the sum of squares within (SSwithin), which represents the variation within samples that is due to chance, is divided by its respective degrees of freedom.
The variance is a measure of how much the data points in a sample differ from the sample mean.
Variance is calculated by taking the mean of the squared deviations from the mean.
This calculation is often used to determine how spread out the values in a data set are.
In the context of an analysis of variance (ANOVA), the MSwithin is used in conjunction with mean square between (MSbetween), which represents the variance between groups, to calculate the F ratio used for testing the null hypothesis.
The measure of the exterior angle at one base angle of an isosceles triangle is 125 degrees. what is the measure of the vertex angle in degree the measure of the exterior angle at one base angle of an isosceles triangle is 125 degrees. what is the measure of the vertex angle in degrees
Final answer:
To find the measure of the vertex angle in an isosceles triangle, subtract the measure of one of the exterior angles from 180, divide that sum by 2 to find the measure of each base angle, and then subtract one base angle from 180 to find the measure of the vertex angle. In this case, the measure of the vertex angle is 152.5 degrees.
Explanation:
To find the measure of the vertex angle in an isosceles triangle, we can use the fact that the sum of the measures of the interior angles of a triangle is 180 degrees. Since we know that the measure of one of the exterior angles is 125 degrees, we can subtract that from 180 to find the sum of the measures of the other two interior angles. Then, we can divide that sum by 2 to find the measure of each of the base angles. Finally, we subtract the measure of one base angle from 180 to find the measure of the vertex angle.
Let's follow these steps:
Sum of the measures of the other two interior angles = 180 - 125 = 55 degrees
Measure of each base angle = 55 / 2 = 27.5 degrees
Measure of vertex angle = 180 - 27.5 = 152.5 degrees
Therefore, the measure of the vertex angle in this isosceles triangle is 152.5 degrees.
by graphing the system of constraints find the values of x and y that maximize the object function.
Answer with Step-by-step explanation:
The solution of system of equations is all those values of x and y which satisfy both the inequalities or the points which lie in the region common between both the inequalities.
N=100x+40y
The optimal solution will be find from the points which lie on the extreme end of the region common between the inequalities i.e. (2,6), (0,8) or (5,0)
(x,y)=(2,6)
N=100×2+40×6
N= 200+240
N=440
(x,y)=(0,8)
N=100×0+40×8
N= 0+320
N=320
(x,y)=(5,0)
N=100×5+40×0
N= 500+0
N=500
Hence, optimal solution is:
(5,0)
Guys please help! In triangle CDE, the measure of angle C is 90 degrees, side CD is 15 and DE is 3 more than CE. Find the length of the longest side of CDE.
Final answer:
Using the Pythagorean theorem, the length of the longest side of right-angled triangle CDE, which is the hypotenuse DE, is found to be 39 units.
Explanation:
In triangle CDE, angle C is given as 90 degrees, making this a right-angled triangle. According to the information provided, side CD is 15 units long, and side DE is 3 units more than side CE. We are asked to find the length of the longest side, which would be the hypotenuse in a right-angled triangle. To find the hypotenuse, which we'll designate as side DE, we must first establish the relationship between the sides. Let's call CE 'x'; therefore, DE will be 'x + 3'. Since we've established that the triangle is right-angled at C, we can use the Pythagorean theorem, which states that in a right-angled triangle the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
So, the equation becomes CD² + CE² = DE², or 15² + x² = (x + 3)². If we solve for 'x' we have:
225 + x² = x² + 6x + 9216 = 6xx = 36As a result, CE = 36 units and DE, the longest side, equals 36 + 3, which is 39 units.
By applying the Pythagorean theorem correctly, we've found that the length of the longest side of triangle CDE is 39 units.
Okay google how many pennies are in $25,000
There are $25,00,000 pennies in $25,000.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
The number is,
⇒ $25,000
Now,
Since, 1 dollar = 100 pennies
Hence, 25,000 dollar = 25,000 × 100 pennies
= 25,00,000 pennies
Thus, There are $25,00,000 pennies in $25,000
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what is 71/50 as a percentage
My number is a perfect square.the only prime factorization is 2.my number is a factor of 32.the sum of its difits is odd---what is my number?
Is writing a 3 before a square root symbol the same as writing it after a square root symbol?
No, writing a 3 before a square root symbol is not the same as writing it after a square root symbol.
Explanation:No, writing a 3 before a square root symbol is not the same as writing it after a square root symbol. Placing a number before the square root symbol indicates that the number is being multiplied by the square root. For example, 3√x means that the square root is being multiplied by 3. On the other hand, placing a number after the square root symbol indicates that the square root is being taken of that number. For example, √3 means the square root of 3.
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The volume of a rectangular prism is measured in cubic iscubic inches. WhatWhat units will the length, width, and height of the prism be measured in?
A. Inches
B. square inches
C. cubic inches
D. feet
The formula V = IR shows the relationship between voltage, current, and resistance. Solve this formula for R.
R = VI
R = V divided by I
R = V + I
R = V – I
The formulae for resistance R is R = V/I
What is Ohm's Law ?
Providing that all physical conditions and temperatures are constant, Ohm's law says that the voltage across a conductor is directly proportional to the current flowing through it.
Ohm's law is given as :
V = IR
Now to find the value of R we divide both side by current I :
[tex]\begin{aligned}V&=IR\\R&=\frac{V}{I}\end{aligned}[/tex]
Therefore, the formulae for resistance R is R = V/I
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a computer code is based on the prime factorization of 160. Find the prime factorization of 160
Answer:
[tex]2\times 2\times 2\times 2\times 2\times 5[/tex]
Step-by-step explanation:
We have been given that a computer code is based on the prime factorization of 160. We are asked to find prime factorization of 160.
We know that prime factorization of a number is writing the prime factors of a number such that their product gives the original number.
To find prime factors of 160, we will divide 160 by 2 for 5 times and then divide by 5.
Prime factorization of 160: [tex]2\times 2\times 2\times 2\times 2\times 5[/tex].
Therefore, the prime factorization of 160 is [tex]2\times 2\times 2\times 2\times 2\times 5[/tex].
A school puts on a play. The play costs $1,200 in expenses. The students charge $4.00 for tickets. There will be one performance of the play in an auditorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets sold?
The domain is all real numbers from negative 1,200 to positive 2,000
The domain is all integers from negative 1,200 to positive 2,000.
The domain is the integers from 0 to 500.
The domain is all real numbers from 0 to 500.
Answer:
The domain is the integers from 0 to 500.
Step-by-step explanation:
It is given in the problem "...function that shows the profit as a function of the number of tickets sold"
Here, the independent variable is the number of tickets
Since the auditorium has 500 seats, we can sell a maximum of 500 tickets and a minimum of 0 tickets. There cannot be fractional person, so the domain of the function is all integers from 0 to 500.