The HCF of the numbers 126, 119 and 196 is 7.
What is HCF?The Highest Common Factor (HCF) of two numbers is the highest possible number that divides both the numbers completely.
The Highest Common Factor (HCF) is also called the Greatest Common Divisor (GCD).
Given are the numbers -
126, 119, 196
We can write the Prime factorization of the numbers given as -
126 = 2 × 3 × 3 × 7
119 = 7 × 17
196 = 2 × 2 × 7 × 7
7 is common in the prime factorization of all the numbers.
Therefore, the HCF of the numbers 126, 119 and 196 is 7.
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{
Complete question in english -
Find the FCF of 126, 119, and 196 using the prime factorization method
}
Solving inequalities #3
If 0/1=0 and 0/2=0, then we can have the equation 0/1=0/2. If we multiply both sides by 0, then why is 1≠2
The equation 1 ≠ 2 is true because 1 and 2 do not have the same value
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
If 0/1=0 and 0/2=0Then we can have the equation 0/1=0/2The above statements are true
However, when both sides of the equation are multiplied by 0, we have
0 * 0/1 = 0 * 0/2
Evaluate
0 = 0
The result is 0 = 0 and not 1 = 2
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qr^0s^5t^0 x q^8rst
simplify as a single term, without a denominator
The simplified form is q⁹rs⁶t
What are index forms?Index forms are simply described as a method of writing numbers that are too large or small in more concise forms.
The other names for index forms are scientific notation and standard forms.
There are rules for index forms, some of them are;
Add the powers when multiply expressions of the same basesSubtract when dividing those of the same basesFrom the information given, we have that;
qr^0s^5t^0 x q^8rst
Note that any number raised to zero is 1, then we have;
qs⁵ × q⁸rst
Now, add the exponents of the like bases
q⁹rs⁶t
Hence, the value is q⁹rs⁶t
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8 ft
10 ft
Find the perimeter of this figure to
the nearest hundredth.
Use 3.14 to approximate .
P = [?] ft
Notice that only half of the circle is included in the figure!
The perimeter of the figure is 4(π + 9)ft.
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
Given is a 2 - D figure as shown in the figure attached.
We can write the perimeter as -
P = P{rectangle} + P{semicircle}
P = 2(10 + 8) + (4π)
P = (4π) + (36)
P = 4(π + 9)
Therefore, the perimeter of the figure is 4(π + 9)ft.
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the following scatterplot shows the relationship between the left and right forearm lengths (cm) for 55 college students along with the regression line, left arm
The scatterplot shows a linear relationship between left and right forearm lengths in cm, for 55 college students.
The regression line is the best fit line that describes the relationship between the two variables. The formula for a linear regression line is y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line in the scatterplot is 0.95, which indicates that for every 1 cm increase in the left arm, there is a 0.95 cm increase in the right arm. The y-intercept of the regression line is 8.4, meaning that when the left arm is 0, the right arm is 8.4 cm long. The equation for the regression line in the scatterplot is y = 0.95x + 8.4. This equation can be used to predict the right arm length for any given left arm length.
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consider the simple arrangement of three resistors shown. assume r sub a is greater than r sub b is greater than r sub c. the total equivalent resistance of the arrangement will be
Consider the simple given arrangement of three resistors, the total equivalent resistance of the arrangement will be smaller than the resistor C.
Please refer to the attached picture below for the give resistors arrangement.
The three resistors are arranged in a paralel circuit. Hence, the total equivalent resistance for the arrangement will be:
1/R total = 1/Ra + 1/Rb + 1/Rc
Where:
Ra = A
Rb = b
Rc = C
A < B < C
Then, the total resistance will be:
1/R total = 1/A + 1/B + 1/C
1 = BC + AC + AB
R total ABC
R total = ABC
BC + AC + AB
Next, we will try to choose any random numbers that meet the resistors condition to proof this condition. This time, we choose:
A = 3
B = 2
C = 1
Then, we need to subtitute each number to its positions:
R total = 3 x 2 x 1
2(1) + 3(1) + 3(2)
R total = 6
2 + 3 + 6
R total = 6/12
R total = 1/2 < C --> proven
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statistical methods are classified into two major categories: descriptive and inferential. describe the general purpose for the statistical methods in each category. descriptive statistics are generally used for which of the following? check all that apply.
Statistical methods are the processes of collecting, presenting, analyzing data, and drawing conclusions.
These methods are divided into two groups: descriptive statistics and inferential statistics.
The scope of descriptive statistics includes distributions of random and random variables, discrete and continuous random variables. For inference statistics, including statistical inference from one or two populations, analysis of variance, regression analysis, and analysis of categorical data from both random and normal populations.
Why study statistical methodsStatistical techniques include many ways to collect, present, analyze, and draw conclusions from data. By considering these methods, you can choose which method to use according to the characteristics of your data.
Choosing the right method leads to drawing the right conclusions.
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the daily number of absences at high school a in the state is approximately bormally distributed with mean 122 students and standard deviation of 11.5 students. if more than 140 students are absent on the day the attendance count is taken for funding purposes ,the school will lose some of its state funding in the subsequent year
the daily number of absences at high school a in the state is approximately bormally distributed with mean 122 students and standard deviation of 11.5 students.
if more than 140 students are absent on the day the attendance count is taken for funding purposes ,
the school will lose some of its state funding in the subsequent year
We are to obtain the standard deviation of the given values :
{24, 18, 31,25, 34}
The standard deviation = √(Σ(x - mean)²/ n)
The mean = (ΣX) /n
Using calculator to save computation time :
The standard deviation, s = 6.27 (2 decimal places)
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I'm trying to solve this problem but I don't know what to do
The values of the parallelogram in the figure are a = 5, x = 9 and y = 3
How to determine the values of the variablesFrom the question, we have the following parameters that can be used in our computation:
The shape is a parallelogram
By the congruence of opposite sides, this means that
2x + 25 = 4x + 7
Evaluate the like terms
2x = 18
Divide by 2
x = 9
By the congruence of opposite sides, this means that
10y + 4 = 7y + 13
Evaluate the like terms
3y = 9
Divide by 3
y = 3
Also, we have
2 * (a + 12) = 4a - 6
So, we have
2a + 24 = 4a - 6
Evaluate the like terms
6a = 30
Divide
a = 5
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A bakery sells apple pies for $12.85. If the pie has a diameter of 10 inches, what is the approximate cost per square inch of the apple pie? Round to the nearest hundredth.
The cost per square inches of the circular pie is C = $ 0.164
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
Given data ,
Let the cost per square inch of the apple pie be C
Let the area of the circle be represented as A
Now , the diameter of the circle is d = 10 inches
So , the radius of the circle r = d/2 = 5 inches
And , area of the circle = πr²
Substituting the values in the equation , we get
Area of Circle A = π x ( 5 )²
Area of Circle A = 78.5398 inches²
The cost of the apple pie = $ 12.85
Now , the cost for 78.5398 inches² of apple pie = $ 12.85
So , the cost for 1 inches² of pie C = 12.85 / 78.5398
On simplifying the equation , we get
The cost per square inches C = $ 0.164
Hence , the cost per square inches is $ 0.164
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Answer: would be 0.16th
hope this helped :)
A first-time homebuyer is comparing mortgage rates. Option A offers the homebuyer 5.25% annual simple interest. Option B offers the homebuyer the same interest rate but compounded semiannually. If the repayment period is the same length for both loans, which option will result in the least amount of interest added to the loan?
Option A will have the least amount of interest because simple interest generates earnings from both principal and interest.
Option A will have the least amount of interest because simple interest generates earnings from principal only.
Option B will have the least amount of interest because compound interest generates earnings from principal only.
Option B will have the least amount of interest because compound interest generates earnings from both principal and interest.
Answer:
Option A will have the least amount of interest because simple interest generates earnings from principal only.
Step-by-step explanation:
got it right :D
Solve the initial value problem yy' + x = x2 + y2 with y(3) = -V40. a. To solve this, we should use the substitution help (formulas) U = u' = help (formulas) Enter derivatives using prime notation (e.g., you would enter y' for dy dx b. After the substitution from the previous part, we obtain the following linear differential equation in x, u, u'. help (equations) c. The solution to the original initial value problem is described by the following equation in x, y. help (equations)
The final solution for the initial value problem: y = −e∫x dx√40 − ∫x2e∫x dx − ∫y2e∫x dx.
The given initial value problem is yy′+x=x2+y2 with y(3) = −√40. To solve this we make the substitution U = u' and u = y. This transforms the given equation into the linear differential equation in x, u, and u': u'+xu=x2+u2. To solve this, we can use the integrating factor method. Multiplying both sides by the integrating factor e∫x dx gives us u'e∫x dx + xue∫x dx = x2e∫x dx + u2e∫x dx. Taking the integral of both sides, we obtain ue∫x dx = ∫x2e∫x dx + ∫u2e∫x dx + c, where c is the constant of integration. Solving for u, we have u = c/e∫x dx − ∫x2e∫x dx − ∫u2e∫x dx. Using the fact that u = y, we can substitute this expression into the equation to obtain the solution in terms of x and y: y = (c/e∫x dx) − ∫x2e∫x dx − ∫y2e∫x dx. Using the initial condition y(3) = −√40, we can solve for c to get c = −e∫3 dx√40. Substituting this into the solution, we get the final solution for the initial value problem: y = −e∫x dx√40 − ∫x2e∫x dx − ∫y2e∫x dx.
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write the complex conjugate of the complex number
√-12
-√12 i is the complex conjugate of the complex number√-12
What is Complex Number?A complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit.
A conjugate of a complex number is another complex number which has the same real part as the original complex number and the imaginary part has the same magnitude but opposite sign.
It's important to remember that i²=-1
This means we can rewrite
√-12 as √12i² =√12i
For complex number z=x+iy the conjugate of complex number is z=x-iy
We have z=√-12 so conjugate is -√12 i
Hence, -√12 i is the complex conjugate of the complex number
√-12
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The letters in the word AUGUST are placed in a bag. One letter will be drawn out randomly. Suppose the probability of an event is 1/2 . Which of the following events could it be?
The events with a probability of 1/2 regarding the letters of the word August are given as follows:
Picking a vowel.Picking a consonant.How to obtain a probability?A probability is obtained by the division of the number of desired outcomes by the number of total outcomes in the context of a problem.
For the six letters in the word August, we have that:
Three of these letters are vowels.Three of these letters are consonants.Hence each event has a probability of 1/2, which is the desired probability for this problem.
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A Each box weighs 1/2 pound.
B Each box weighs 2 pound.
C Half of a box weighs 1 pound.
D Each box weighs 1 pound
Correct option is B, Each box weighs 1/2 pounds.
What does "weight pounds" mean?The pound is a unit of weight that is equivalent to 16 ounces, 7,000 grains (or 0.45359237 kg) in avoirdupois and 12 ounces, 5,760 grains (or 0.3732417216 kg) in troy and apothecaries' weight. The abbreviation lb comes from the Latin word libra, which was the origin of the contemporary pound.
a weight measurement scale: The weight of one pound is about equal to 454 grams. A kilogram is equivalent to around 2.2 pounds. One pound contains 16 ounces.
From the Latin word "poundus," which means "weight," comes its name. The elaborate L in Libra is where the £ sign originated. The pound, which represented one pound of silver weight, was a monetary unit in Anglo-Saxon England as early as 775 AD.
As per shown in graph,
Corresponding to 1 on x - axis,
the total pounds on 1 box is 1/2 on y - axis.
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Create an equation with one solution of x = −7.
10x − (x − 40) = 2x − ( missing number here + x)
¿Cuántas botellas de 1/4 se podrian llenar con2.750lt?
The number of 1/4 bottles is 11
How to determine the number of 1/4 bottlesFrom the question, we have the following parameters that can be used in our computation:
Size of bottles = 1/4
Volume of container = 2.750 liters
The nuber of bottles is then calculated as
Bottles = Volume of container/Size of bottles
Substitute the known values in the above equation, so, we have the following representation
Bottles = 2.750/(1/4)
Evaluate the quotient
Bottles = 11
Hence, the number of bottles is 11
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Given that the functions f(x) = 2x - 1 for -1 < x < 4 and g(x) = 4/(x - 2) for 3 < x < 5. What's the domain of the function h(x) = f(x) - g(x)?
(a) 3<x<4 (b) -2<h(x)<5 (c)1<h(x)<5 (d) -2<x<3 (e)NOTA
Answer:
hi !!
Step-by-step explanation:
first the domain of f(x) : 2*-1 -1 < 2x-1 < 2*4 -1 = -3 <2x-1 < 7
now the domain of g(x) : 4/(3-2) < 4/(x-2) < 4/(5-2) = 1.3 < 4/(x-2) < 4
now h(x) = -3 - 1.3 <f(x) - g(x) < 7-4 = - 4.3 < f(x) - g(x) < 3
it is the answer e : None of the Above
Can anyone walk me though how to solve a problem like this step by step please? please don't just post the answer I want understand it.
Answer:
[tex]p=\frac{15}{24}[/tex]
Step-by-step explanation:
Proving Vertical Angles Are Congruent
Given: angle 2 and angle 4 are vertical angles.
Prove: that angle 2 is congruent to angle 4
For those struggling, the answers are below! Hope this helps!
The proof that the vertical angles provided in the image above are congruent is given below:
Statements Reasons
1. ∠2 and ∠4 are vert. angles (Given)
2. ∠2 and ∠3 are a linear pair (Definition of Linear Pair)
3. ∠3 and ∠4 are a linear pair (Definition of Linear Pair)
4. m∠2 + m∠3 = 180 Angle addition postulate
5. m∠3 + m∠4 = 180 Angle addition postulate
6. m∠2 + m∠3 = m∠3 + m∠4 Subtraction property
7. m∠2 = m∠4 Subtraction property
8. ∠2 ≅ 4 Definition of Congruent Angles
What is a vertical angle?When two lines connect, vertical angles are generated. The angles that are opposite each other in the four produced angles are vertical angles. They are also known as vertically opposed angles. These angles are never unequal.
Congruent angles are those of equal measure. Be a result, any angles of equal measure are referred to as congruent angles. They may be found in equilateral triangles, isosceles triangles, and where a transversal connects two parallel lines.
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What is the slope of the line?
Derive Linear Equations-Quiz-Level H
The slope of the line is 1/3.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Slope of a line passing through (x, y) and (x', y') is given by,
Slope = (y' - y) / (x' - x)
Consider the points on the given line.
The line passes through (0, 2) and (3, 3).
Slope = (3 - 2) / (3 - 0)
= 1/3
Hence the slope of the given line is 1/3.
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4 Carmen's water bottle holds 1 8/10 liters of water. Jorge's water bottle holds
2 2/5 liters of water.
1
I
Jorge says that his bottle holds about 1/2 liter more water than Carmen's. Fill in the
blanks to explain whether Jorge's estimate is reasonable. Use the numbers in
Answer:
Carmen's water bottle holds 1 8/10 liters of water, which can be written as 18/10 liters or 1.8 liters.
Jorge's water bottle holds 2 2/5 liters of water, which can be written as 22/5 liters or 4.4 liters.
Jorge's estimate of his water bottle holding about 1/2 liter more water than Carmen's is reasonable because:
4.4 liters (Jorge's bottle) - 1.8 liters (Carmen's bottle) = 2.6 liters
2.6 liters is close to the estimate of 1/2 liter, so Jorge's estimate is reasonable.
Find the volume of each solid. Round to the nearest tenth if necessary.. PLEASE HELP I WILL MAKE YOU BRAINLIEST IF YOU ANSWER THE CORRECT ANSWER AND GIVE A DESCRIPTION!!!
Answer:
half of 20 is 1010
Step-by-step explanation:
half of 20 is 1010 is your new radius so10^2 = 100100 x 3.14 = 314Now we multiply by the height:314 x 11 = 3,454 cm^3
What is the graph of f(X)=2(3)^x?
The graph of the function f(X)=2(3)^x is the graph a
How to determine the graph of f(X)=2(3)^xFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2(3)^x
The above equation is an exponential function
An exponential function is represented as
y = ab^x
Using the above as a guide, we have the following:
a = 2
b = 3
The graph that has this prperty is (a)
Hence, the graph is a
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Needle Mountain is 155 km west of Mount
Idris at a bearing of 289°.
How far apart are the two mountains?
Give your answer to the nearest km.
Answer:
654.85:4
Step-by-step explanation:
just took the test!
What is the range of f(x) = |x-3| +2
The range of f(x) = |x - 3| + 2 is calculated to be y ≥ 2
What is range?In geometry range refers to all the possible values of the y coordinate
using the equation f(x) = |x - 3| + 2 and plotting the values shows that the range of f(x) = |x - 3| + 2 is [2, ∞),
this means that it includes all values greater than or equal to 2, but not 2 itself.
This can be visualized on a number line as all values to the right of 2, extending towards positive infinity.
The plot is attached
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What is the area of a circle with a diameter of 16 meters? Leave the answer in terms of π.
256π square meters
64π square meters
16π square meters
8π square meters
The area of a circle with a diameter of 16 meters is equal to: B. 64π square meters.
How to calculate the area of a circle?Mathematically, the area of a circle can be calculated by using this formula:
Area = πr²
Where:
r represents the radius of a circle.
Note: Radius = diameter/2 = 16/2 = 8 meters.
By substituting the radius into the formula for the area of a circle, we have the following;
Area of circle = π × 8²
Area of circle = 64π square meters.
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Answer:64 PI
Step-by-step explanation:
Zara is selling two kinds of baskets at a bake sale. The baskets are sold in two sizes: large and small. There are 3 cupcakes and 6 chocolate chip cookies in each small basket. There are 9 cupcakes and 12 chocolate chip cookies in each large basket. Zara has a total of 180 cupcakes and 300 chocolate chip cookies.
QUESTION 1
Write the system of inequalities that represents this situation.
Answer:
I don't know sorry :((
Step-by-step explanation:
share in other part :(
Each statement describes a transformation of the graph of f(s)=s. Which
statement correctly describes the graph of y=f(x-7)+3?
A. It is the graph of ftranslated 3 units up and 7 units to the left.
B. It is the graph of ftranslated 7 units down and 3 units to the right.
C. It is the graph of ftranslated 7 units up and 3 units to the right.
D. It is the graph of ftranslated 3 units up and 7 units to the right.
The Transformation is graph of f is translated 3 units up and 7 units to the right.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given: y=f(x-7) + 3.
As, from the Rule the f(x, y) --> f(x-c, y) shows the horizontal shift on right side.
So, the function is shifted 7 units to the right.
Now, the rule f(x)--> f(x) + c shows the vertical translation up by c units.
So, the function is translated 3 units up.
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The graph of part of linear function h is shown on the grid. Which inequality best represents the domain of the part shown?
The domain of the given function would be -
- 5 ≤ x < 3.
What is a function?
An function in mathematics defines a relationship between one variable (the independent variable {x}) and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.
Given is the graph of the linear equation as shown in the image.
Domain represents the set of values along the {x} - axis.
So, we can write -
- 5 ≤ x < 3
Therefore, the domain of the given function would be -
- 5 ≤ x < 3.
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