Greatest common factor (GCF) of 50 and 65 is 5.
How to find the GCF of 50 and 65?We will first find the prime factorization of 50 and 65. After we will calculate the factors of 50 and 65 and find the biggest common factor number .
Step-1: Prime Factorization of 50
Prime factors of 50 are 2, 5. Prime factorization of 50 in exponential form is:
50 = 21 × 52
Step-2: Prime Factorization of 65
Prime factors of 65 are 5, 13. Prime factorization of 65 in exponential form is:
65 = 51 × 131
Step-3: Factors of 50
1, 2, 5, 10, 25
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 50 and 65. The biggest common factor number is the GCF number.
So the greatest common factor 50 and 65 is 5.
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-our classmates were asked to decorate /5 or the bulletn boara In a classroom They divided the section to be decorated equally among the 4 classmates. Whe fraction of the entire bulletin board did each classmate decorate? (5.NF.7)
The fraction of the entire bulletin board decorated by each classmate is N/20.
Fraction of a number.Fraction is a mathematical expression which is made up of denominator and a numerator. So that fractions may generally be categorized into 3 types. These are: proper fraction, improper fraction, and mixed fraction.
Considering the given question, let the size of the bulletin board be represented by N.
The section of the bulletin board to be decorated = 1/5 * N
= N/ 5
There are 4 classmates that has been selected to divide the section to be decorated equally among themselves. So.
Fraction of the board to be decorated by each student = (N/ 5)/ 4
= 1/20 N
The fraction of the board to be decorated by each student is N/20.
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why do the hands on the clock form an angle?
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
coefficient: The number in BLANK of the variable within the BLANK BLANK
The blank spaces of the statement coefficient: The number in BLANK of the variable within the BLANK BLANK are, front, addition, subtraction.
What are coefficients and like terms?A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.
Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.
We know a coefficient is a constant value combined with a variable.
For example, In 7x the coefficient of x is 7.
Given, A fill-in-the-blank statement,
coefficient: The number in BLANK of the variable within the BLANK BLANK.
Therefore,
coefficient: The number in front of the variable within the addition subtraction.
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a student states that the exterior angle of a triangle can never be a right angle. find the mistake and correct it
Answer:
FALSE statement
Step-by-step explanation:
a right triangle’s exterior angle is 90 degree
4 to the power of 3 space end exponent minus space 60 space divided by space 15 space plus space 6 space cross times space 2 space
Answer: 4/27 or 0.148148
First you solve for any grouping symbols ( absolute value, parentheses, brackets, etc.) Since there aren’t any you move on to exponents, 4^3 is the same as 4*4*4 which equals 64. Next you do multiplication 6*2 is 12 so our problem is currently
64-60 over 15+12. Next you simplify, which make the problem 4/27. You can divide which makes your problem 0.148148 but most of the times you keep it as a fraction.
A store is designing the space for rows of nested shopping carts
how many positive 10 digit numbers can you make using seven ones and three zeros
The number of positive 10 digit numbers that can be made using seven ones and three zeros is; 28
How to solve probability combinations?We want to find the number of positive 10 digit numbers that can be made using seven ones and three zeros.
Now, the leftmost position digit cannot be 0 and as such it is 1, due to the fact that there are no other possibilities.
The rightmost position therefore must be 0 in order to fill the need for an even number.
Thus, we have 8 remaining positions that we need to fill with six ones and two zeros using an arbitrary manner.
This means that we can place two digits of zero among 8 positions by using combination formula as;
⁸C₂ = 8!/(2! * 6*)
= 28 different ways
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What do you say back to someone who said: “ Nobody understands how it is to be everyone’s go to and have no one to care for you. “?
Answer: just be positive
Step-by-step explanation:
The table describes the quadratic function h(x).
x h(x)
−3 −2
−2 −3
−1 −2
0 1
1 6
2 13
3 22
What is the equation of h(x) in vertex form?
h(x) = (x + 2)2 − 3
h(x) = (x + 1)2 − 2
h(x) = (x − 1)2 + 2
h(x) = (x − 2)2 + 3
The quadratic equation that describes the function is
f(x) = x² + 4x + 1
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is the table that describes the quadratic function h(x) as follows -
{x} h{x}
−3 −2
−2 −3
−1 −2
0 1
1 6
2 13
3 22
The quadratic equation is of the form given -
y = ax² + bx + c
For the point (0, 1), we can write -
1 = c ..... Eq{1}
For the point (1, 6), we can write -
6 = a + b + 1
a + b = 5 ...... Eq{2}
For the point (2, 13), we can write -
13 = 4a + 2b + 1
4a + 2b = 12 ...... Eq{3}
From Eq{2}, we can write -
a = 5 - b
So, the equation 3 can be written as -
4(5 - b) + 2b = 12
20 - 4b + 2b = 12
20 - 2b = 12
2b = 8
b = 4 ...... Eq{4}
then
a = 1 ...... Eq{5}
So, we can write the quadratic equation as -
f(x) = x² + 4x + 1
Therefore, the quadratic equation that describes the function is
f(x) = x² + 4x + 1
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A rectangle off the length (x+2) cm and breadth (x)cm has an area of 15cm².find the va of x hence the perimeter of the rectangle.
Answer:
The area of a rectangle is given by the formula:
area = length * breadth
In this case, the length of the rectangle is (x+2) cm and the breadth is (x) cm, so the area is:
area = (x+2) cm * (x) cm
= x^2 + 2x cm^2
We know that the area of the rectangle is 15 cm^2, so we can set up the following equation:
x^2 + 2x cm^2 = 15 cm^2
We can solve for x by using the quadratic formula:
x = (-2 +/- sqrt(4 - 41(-15))) / (2*1)
= (-2 +/- sqrt(64)) / 2
= (-2 +/- 8) / 2
= (-4, 2)
We have two solutions for x, so we need to consider both of them to find the dimensions of the rectangle.
If x=-4, then the length of the rectangle is (x+2) cm = (-4+2) cm = (-2) cm and the breadth is (x) cm = (-4) cm. Since the length and breadth of a rectangle must both be positive, this solution is not valid.
If x=2, then the length of the rectangle is (x+2) cm = (2+2) cm = 4 cm and the breadth is (x) cm = 2 cm. These dimensions give us a valid rectangle with an area of 15 cm^2.
The perimeter of the rectangle is the sum of all four sides, so the perimeter is 2 cm + 2 cm + 4 cm + 4 cm = 12 cm.
Therefore, the value of x that gives us a rectangle with an area of 15 cm^2 and a perimeter of 12 cm is x=2.
Which equation can be used to find B in the triangle below?
Right triangle A B C is shown. Side A B has a length of 6, side B C has a length of 10, and side A C has a length of 8.
The measure of angle B is 53°.
The equation used to find B is
B = [tex]sin^{-1}[/tex](4/5).
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Right triangle ABC.
AB = 6
BC = 10
AC = 8
In order for the triangle to be a right triangle it must satisfy the Pythagorean theorem.
So,
BC² = AB² + AC²
100 = 6² + 8²
100 = 36 + 64
100 = 100
This means,
B
| \
| \
| \
A_________C
Now,
Sin B = 8/10 = 4/5
B = [tex]sin^{-1}[/tex] (4/5)
B = 53°
Sin C = 6/10 = 3/5
C = [tex]sin^{-1}[/tex] (3/5)
C = 37°
We see that,
∠A + ∠B + ∠C = 180
90 + 53 + 37 = 180
90 + 90 = 180
180 = 180
Thus,
The equation used to find B is
Sin B = AC / BC = 8/10
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Answer:
Tangent B=8/5
Step-by-step explanation:
Just look at the answer
If the random variable X has the binomial, bin(n, p) distribution, does the unbiased estimator of （1/p）exist? Explain your answer clearly by providing the step-by-step solution.
The unbiased estimator of 1/p does not exist.
What is an unbiased estimator?An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.
Given:
If the random variable X has the binomial.
1/p = 1 /{1-(1-p)} = 1 + (1-p) + (1-p)²/2! + ....
And let an unbiased estimator of 1/p exist.
[tex]\sum^n_k_=_0T(k)(^n_k)p^k(1-p)^k[/tex] = 1 + (1-p) + (1-p)²/2! + ....
The above series is finite on the LHS and infinite power series on the RHS.
That is contradiction.
The basic idea is that an unbiased estimator of 1/p would have to have the property that its expected value as a function of p would have to tend to infinity as p tends to 0.
But since Ep[U(x)] is bounded above by some function of n that is independent of p, no such estimator can exist.
Therefore, the unbiased estimator 1/p can not exist.
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dave earns $200 per week plus 4.1 commission. He sold $5175.50 in the month of February. What is his gross monthly earinings for february?
The gross monthly earnings for February will be $1012.2
How to illustrate the expression?It should be noted that gross monthly earnings simply means the earnings that an individual makes for a particular month.
In this case, Dave earns $200 per week plus 4.1 commission. He sold $5175.50 in the month of February. His gross monthly earnings for February will be:
= ($200 × 4) + (4.1% × $5175.50)
= $1012.2
Therefore, $1012.2 will be the earnings.
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what is the slope of the table below? 3/8 15/12 9/10 0/7
The slope of the table below? 3/8 15/12 9/10 0/7 is 23.8
What is slope?Slope is defined as the rate of change of y with respect to x. Invariably, it it the rise in y over the run in x. put differently, slope is increase over increase in x
The slope of a line is defined
S= (increase in y)/(Increase in x) = Δy/Δx
Slope = (0/7 - 18/12) ÷ (9/10 -3/8)
Slope = 15/12 ÷ 42/80
Simplify the fractions to have
Slope = 15/12 * 80/42
The slope = 1200/504
Slope of the table is given as 23.4
Conclusively, the table gives us a slope approximately 23
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Anything would be greatly appreciated!!
As seen in the illustration, the polygon's surface area is 12 + 4√5 square units.
What is meant by polygon's surface area?The region that a particular polygon occupies in a two-dimensional plane, whether it be a triangle, square, quadrilateral, rectangle, parallelogram or rhombus, hexagon or pentagon, is defined as its area. Depending on how they are shaped, different types of polygons have different areas or formulas for areas. One way to think of a polygonal surface is as a surface made up of polygonal faces. All of the polygons must belong to the same type (triangles, quadrilaterals or whatever). The user must ensure that each polygon's vertices all sit in a plane if the polygons are of a higher order than triangles. The collection of polygons or faces collectively make up the object's "skin." A wide range of solids and surfaces can be graphically represented using this technique.Therefore the correct option is C) 12 + 4√5 square unit
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5x -2y = 1, 5x -6y = b
what is the value of b so that it has no solution
Answer:
DNE
Step-by-step explanation:
You want the value of 'b' so that the system of equations has no solution.
5x -2y = 15x -6y = bNo solutionIn order for the system of two linear equations to have no solution, the equations must describe parallel lines. That is, the lines must have the same slope.
SlopeThe slope of the line written in the form px -qy = c is the coefficient of x when the equation is rearranged to "y=" form. Here, that is p/q.
The slope of the first line is 5/2; the slope of the second line is 5/6. These values are different and do not depend on 'b'.
There is no value of 'b' that will make this system have no solution. It does not exist (DNE).
What if I only know the length of the shorter side consider the triangle equilateral triangle than determine the values of n and m without using a calculator
Answer: An equilateral triangle is a three-sided polygon with three equal sides and three equal angles of 60 degrees each. If you know the length of one of the sides of an equilateral triangle, you can use the formula for the area of an equilateral triangle to determine the values of n and m. The formula for the area of an equilateral triangle is:
Area = (sqrt(3)/4) * s^2
where s is the length of one of the sides of the triangle.
To determine the values of n and m, you can rearrange the formula to solve for s. For example, if you know that the area of the triangle is n and the value of m is the length of one of the sides of the triangle, you can rearrange the formula to solve for s:
s = sqrt(4n/sqrt(3))
Then, you can use the value of s to determine the value of m.
Step-by-step explanation:
4. What is the slope-intercept form of 9x + 3y = 15?
Oy=-3x+5
Oy=3x+5
Oy = 3x - 5
Oy=-3x - 5
The slope-intercept form of the equation 9x + 3y = 15 is y = -3x + 5.
What is slope-intercept form?
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The given equation is 9x + 3y = 15.
Rearranging it to get in slope-intercept form -
⇒ 9x + 3y = 15
⇒ 3y = -9x + 15
Dividing LHS and RHS by 3 -
⇒ y = -3x + 5
Here, the equation is the slope-intercept form y = mx + c.
So, the slope is m = -3 in the equation.
Therefore, the slope-intercept form is y = -3x + 5.
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how many 2/5s are in 1 and 1/2
Answer:
4
Step-by-step explanation:
How many 2/5s are in 1 1/2? To make it easier and simpler , I would change these fractions into decimals . Our answer is there are ALMOST 4 of 2/5ths in 1 and a half .
What is the amount of < AGF?
Answer:
Angle AGF = 140
Step-by-step explanation:
180-40 = 140
29. What is length of x?
Please explain this one too me since I did not understand it thanks
The length x is found to be 10 yards and is calculated using Polygon Triangulation.
What is Polygon Triangulation?
The polygonal triangulation is a method in which the area of polygon is divided into triangles to simplify calculation.
From the attached figure, we can find a using Pythagorus Theorem
a = [tex]\sqrt{6^{2} - 4.8^{2} }[/tex] = 3.6
cos θ = [tex]\frac{4.8}{6}[/tex] = 0.8
In ΔXYZ
cos θ = [tex]\frac{8 + 4.8 }{x+ 6} \\\\[/tex]
0.8 = [tex]\frac{12.8}{x + 6}[/tex]
Solving for x,
x = 10 yards
Therefore the length of x found using polygonal triangulation method is 10 yards.
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(7/8 x 14) / (3/8 x 6) + 2 1/5
answer to this question is simple 7 4/9
ln 4 - ln x = 2
Solve for x
Show all steps
Answer:
To solve this equation, we first need to isolate the ln term on one side of the equation. To do this, we can subtract ln 4 from both sides to get:
ln 4 - ln x - ln 4 = 2 - ln 4
This simplifies to:
-ln x = 2 - ln 4
Next, we can add ln 4 to both sides to get:
-ln x + ln 4 = 2
This simplifies to:
ln 4 - ln x = 2
Now, we can apply the identity ln a - ln b = ln(a/b) to both sides of the equation to get:
ln(4/x) = 2
To solve for x, we can apply the inverse logarithm function (exp) to both sides:
4/x = exp(2)
This simplifies to:
x = 4/exp(2)
Finally, we can evaluate this to get the value of x:
x = 4/exp(2) = 4/7.38905609893065
So the solution is x = 4/7.38905609893065.
Step-by-step explanation:
100° хо 100%
what is the answer for x?
The answer of x is 100 degree.We can find by using percentage formula.
What do we mean by percentage?Percentage is a value or ratio that shows a fraction of 100. Percent means per 100. It does not have any units.If we have to calculate percent of a number then we divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
What is the percentage formula?The formula used to calculate percentage is: (value/total value)×100%.The most basic application of percentages is to compare one quantity against another. When we want to talk about data in this way we use it with the word, "of." To use this data as an example, we would say, for example, "25% of people prefer cake," as in this example.
Now we have
100 = x of 100%
100= x * 100/100
100= x
Hence we can calculate value of x.
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Write an equation of a line that is perpendicular to 6x - 3y = -6 and passes
through the point (-12, 14).
I'm sorry but I didn't get that
the graph of a function f is the collection of ____________ or (x,f(x)) such that x is in the domain of f
2 Which of the following could be appropriate values for an equation to be in Standard Form (Ax+By=CP
A=-2,B=3 and C=5
A=2,B=1/2 and C=0
A=1,B=0 and C = 5
O A=1/4,B=3/4 and C=0
Answer:the third one
Step-by-step explanation:
For a science experiment, each student needs 5 grams of salt. If there are 26 students in the class how many milligrams of salt will they need?
If n is a two-digit number, what is the sum of the digits of 99×n?
Answer: The sum of the digits of 99 × n is 27 - 10 = 17.
Step-by-step explanation:
To find the sum of the digits of 99 × n, we can use the fact that 99 × n = 100 × n - n. The sum of the digits of 100 × n is simply n, since the hundreds digit is zero. Therefore, the sum of the digits of 99 × n is equal to the sum of the digits of n - n, which is simply zero.
For example, if n = 37, then 99 × n = 99 × 37 = 3,699. The sum of the digits of 3,699 is 3 + 6 + 9 + 9 = 27. The sum of the digits of 37 is 3 + 7 = 10. Therefore, the sum of the digits of 99 × n is 27 - 10 = 17.
The length of a rectangle is 10 cm what is the width if the area is 60 cm
the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.
what is rectangle ?An example of a quadrilateral is a rectangle, which has four vertices that are all 90 degrees apart and parallel sides that are equal to one another. As a result, it is sometimes referred to as an equiangular quadrilateral. The rectangle is a 2D shape with 4 sides, 4 corners, and 4 right angles. The length of each pair of the diagonal sides of a rectangle is equal, with one pair being longer than the other. If all the sides of a rectangle were the same size, the shape would be referred to as a square.
given
Consequently, the rectangle has a length of 10 cm and an area of 60 cm2.
Since,
Area of a rectangle equals length times width
=60=10*breadth
width is 60/10.
= 6 cm in breadth.
the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.
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