The Computation results of given combination and permutation expression,
(A) P(9, 3) = 504
(B) C(9, 3) = 84
(C) P(8,8) = 40,320
(D)P(9,9) = 1
What is Permutations and Combination ?A permutation is an arrangment of arranging objects or numbers in order.
The formula for permutations is
ⁿPᵣ = n!/(n-r)!
Combinations are the way of selecting objects or numbers from a group of objects, in such a way that the order of the objects does not matter.
The formula for combinations is,
ⁿCᵣ = n!/[r! (n-r)!]
ⁿCᵣ represents the number of combinations from “n” objects taken “r” at a time.
We have given some expressions and we shall compute these.
(A) P(9, 3) , here n = 9 and r = 3
=> P(9, 3) = 9!/(9-3)! = 9!/6! = 9×8×7×6!/6!
P(9, 3) = 9×8×7 = 504
(B) C(9, 3) = 9!/3!(9-3)! = 9!/6!×3!
= 9×8×7×6!/6!(3×2×1) = 9×8×7/6 = 84
(C) P(8, 8) = 8!/(8-8)!
= 8!/0! = 8! = 8×7×6×5×4×3×2×1 = 40,320
(D) C (9, 9) = 9!/9!(9-9)!
= 9!/9! 0! = 1
Hence ,we get all the values of given expression.
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which of the following statements about exponential smoothing forecasting model is true? group of answer choices the exponential smoothing model requires access to historical data for at least a five-year period the exponential smoothing model is most useful when short-term forecasts are needed and it relies on more recent data than very early ones the exponential smoothing model is most useful when precise forecasts are required the exponential smoothing model should be used only by hospitality businesses that experience seasonal sales patterns and no other sales trends
The true statement about exponential smoothing forecasting model is option (d) The exponential smoothing technique is most useful when short-term forecasts are needed.
Exponent:
In math, exponent tells a number says how many times to use that number in a multiplication.
Given,
Here we need to find the statements about exponential smoothing forecasting model is true.
In order to find the true statement we have to know the definition of exponential smoothing forecasting model.
Exponential smoothing forecasting model also known as ETS model is a family of forecasting models.
And it is used as weighted averages of past observations to forecast new values.
And the idea is to give more importance to recent values in the series. Therefore, as observations get older in time, the importance of these values get exponentially smaller.
Based on these explanation we have identified that option (d) is correct.
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Solve this proof:
Given: AD bisects ∠A.
Prove: △ADB ≅ △ADC
1. [tex]\overline{AD}[/tex] bisects [tex]\angle A[/tex] (given)
2. [tex]\angle CAD \cong \angle DAB[/tex] (definition of angle bisector)
3. [tex]\overline{AD} \cong \overline{AD}[/tex] (reflexive property)
4. [tex] \angle ADC[/tex] is a right angle (given)
5. [tex]\angle ADC[/tex] and [tex]\angle ADB[/tex] are supplementary (angles that form a linear pair are supplementary)
6. [tex]\angle ADB[/tex] is a right angle (an angle supplementary to a right angle is a right angle)
7. [tex]\angle ADC \cong \angle ADB[/tex] (all right angles are congruent)
8. [tex]\triangle ADB \cong \triangle ADC[/tex] (ASA)
ΔADB ≅ ΔADC by ASA congruence rule as they have angle- side- angle ratio are same.
What are congruent triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.
Slide, twist, flip, and turn these triangles to create an identical appearance.
They are in alignment with one another when moved. "≅" is the congruence symbol.
When two figures resemble one another in terms of size and shape, this is what mathematics refers to as congruence. In essence, there are four congruence principles that demonstrate if two triangles are congruent.
Given: AD bisect Angle A
That means ∠BAD = ∠CAD
Proof: In ΔADB and ΔADC
∠ADB = ∠ADC (each right angle)
AD = AD (Common)
∠BAD = ∠CAD (Given)
By ASA Congruence Rule
ΔADB and ΔADC are Congruent
Hence Proved.
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Arrange these from greatest to least greatest PLEASE HELP ME ANSWER THIS QUESTION
Answer: 37, 15, 12, 0, -6, -8, -23
Step-by-step explanation:
So, the higher the negative number, the lower the value is. Hope this helps!
How do you simplify 1/2−(1/8+1/8) ?
Answer:
1/4 or 0.25
Step-by-step explanation:
1/2 - (1/8 + 1/8)
= 1/2 + 2/8
= 4/8 - 2/8 (LCM)
= 2/8
= 1/4
= 0.25
______________
Hope it helps!!
Answer:
Step-by-step explanation:
1/4
Explanation:
First, add the terms within parenthesis:
1
2
−
(
1
8
+
1
8
)
⇒
1
2
−
2
8
Next, reduce the second term:
1
2
−
(
(
2
2
)
⋅
(
1
4
)
)
⇒
1
2
−
(
1
⋅
(
1
4
)
)
⇒
1
2
−
1
4
To get these two terms over a common denominator (in this case
4
) we need to multiple the first term by
(
2
2
)
:
1
2
−
1
4
⇒
(
(
2
2
)
⋅
(
1
2
)
)
−
1
4
=
2
4
−
1
4
Now we can subtract the terms to obtain the final answer:
2
4
−
1
4
⇒
2
−
1
4
⇒
1
4
please help me and explain pls
Answer:
B $3.00
Step-by-step explanation:
We need to estimate a little. We are trying to find the slope. We need two points. The one point that is clear is (4,15) I would estimate the other points to be (0,3) The slope is the change in y over the change in x
the y values from the two points are 15 and 3. The x values are 4 and 0
[tex]\frac{15-3}{4-0}[/tex] = [tex]\frac{12}{4}[/tex] = 3
Please give the step-by-step solution with detailed explanation. 1.) The function g is related to one of the parent functions g(x) = x^2 + 6 The parent function f is: f(x)= x^2 Use function notation to write g in terms of f. 2.) The function g is related to one of the parent functions g(x) = x2 – 3 The parent function is: f(x)= x^2 Use function notation to write g in terms of f. 3.) The function g is related to one of the parent functions g(x) = −(x − 2)^3 a.) Identify the parent function f. b.) Use function notation to write g in terms of f. 4.) The function g is related to one of the parent functions g(x) = |x − 1| + 5 a.) Identify the parent function f. b.) Use function notation to write g in terms of f. 5.) The function g is related to one of the parent functions g(x) = 2 √x a.) Identify the parent function f. b.) Use function notation to write g in terms of f.
1. The function [tex]g(x)=x^2+6[/tex] is related to the parent function[tex]f(x) = x^2[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply add 6 to the expression for
[tex]f: g(x) = f(x) + 6\\ = x^2 + 6[/tex]
2. The function [tex]g(x) = x^2 - 3[/tex] is related to the parent function [tex]f(x) = x^2[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply subtract 3 from the expression for
[tex]f: g(x) = f(x) -3 \\ = x^2 -3[/tex]
3.The function [tex]g(x) = -(x -2)^3[/tex] is related to the parent function [tex]f(x) = (x - 2)^3[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply negate the expression for f:
[tex]g(x) = -f(x)\\= -(x - 2)^3[/tex]
4. The function [tex]g(x) = |x -1| + 5[/tex] is related to the parent function [tex]f(x) = |x - 1|[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply add 5 to the expression for f:
[tex]g(x) = f(x) + 5\\= |x - 1| + 5[/tex]
5. The function [tex]g(x) = 2 \sqrt{x}[/tex] is related to the parent function [tex]f(x) = \sqrt{x}[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply multiply the expression for f by 2:
[tex]g(x) = 2[/tex] × [tex]f(x)[/tex]
[tex]= 2 \sqrt{x}[/tex]
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SHOW WORK FOR BRAINLIST AND HEARTS
The graph of Stewart's assignment added as an attachment
How to draw the graph of the scenario?From the question, we have the following parameters that can be used in our computation:
Number of assignments = 36Rate of assignment per day = 4This means that the equation of the scenario is
Number of assignments remaining = Initial number of assignments - Rate of assignment per day * Number of days
Represent the number of assignments remaining with y and the number of days with x
So, we have the following representation
y = Initial number of assignments - Rate of assignment per day * x
Substitute the known values in the above equation, so, we have the following representation
y = 36 - 4 * x
Evaluate the products
y = 36 - 4x
So, the equation is y = 36 - 4x and the graph is added as an attachment
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About how many meters are in 100 feet? (1 meter≈3.28 feet)
At a school, 30 students played soccer. This represented 2% of the student population at the school. How many students attend this school?
Answer:
There is around 30 meter in 100 feet
Step-by-step explantion I did it mentally.
how many batches of raisin granola bars can inez make if she has 8/3 cups of raisings and each batch requires 2/3 cup of raisins? \frac{1}{4}\enspace batch
If Inez has 8/3 cup of raisings and each batch takes 2/3 cup of raisins, she may create 4 batches of raisin granola bars.
What is fraction?In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator. A common fraction is a numeric representation of a rational integer. The same number can be expressed as a decimal, a percentage, or with a negative exponent. Fractions indicate pieces of a whole or group of items. A fraction is made up of two components. The number at the top of the line is referred to as the numerator. It specifies the number of equal sections of the whole or collection that are taken. The figure below the line is denominator.
Here,
8/3÷2/3=4
2/3 • 4 = 8/3
2/3 + 2/3 + 2/3 + 2/3 = 8/3
2/3 = 0.67
0.67 • 4 = 2.67
8/3 = 2.67
4 batches of raisin granola bars can inez make if she has 8/3 cups of raisings and each batch requires 2/3 cup of raisins.
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Solve for X - 18 points.
Answer:
x = 1 1/2
Step-by-step explanation:
1/3 x + 1/4 = 3/4
Solving for x
Subtract 1/4 from each side
1/3 x + 1/4 -1/4 = 3/4-1/4
1/3 x = 2/4
Simplify
1/3x = 1/2
Multiply each side by 3
1/3 x * 3 = 1/2 * 3
x = 3/2
Changing to a mixed number
x = 1 1/2
Answer:
[tex]\sf \frac{3}{2} = 1 \frac{1}{2} \\ [/tex]
Step-by-step explanation:
[tex] \sf \frac{1x}{3} + \frac{1}{4} = \frac{3}{4} \\ [/tex]
To solve easily, multiply the whole equation by it's LCM ( LCM of 3 & 4 is 12 ).
[tex] \sf12 \times ( \sf \frac{1x}{3} + \frac{1}{4} = \frac{3}{4} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \\ \\ \sf \frac{1x}{3} \times 12 + \frac{1}{4} \times 12= \frac{3}{4} \times 12\\ \\ \sf \sf \frac{12x}{3} + \frac{12}{4} = \frac{36}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf4x + 3 = 9 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
And now solve for x.
First, subtract 3 from both sides.
[tex] \sf4x = 9 - 3 \\ \sf4x = 6[/tex]
Divide both sides by 4.
[tex] \sf \: x = \frac{6}{4} \\ [/tex]
To write the fraction in its simplest form, divide both the numerator and denominator by 2.
[tex] \sf \frac{3}{2} = 1 \frac{1}{2} \\ [/tex]
Multiply the numerator of the complex fraction in part D by the reciprocal that you found in part E. Show your work from left to right for the entire problem. Express the result as a mixed number.
PART E ANSWER: 4/11
PART D ANSWER: 33/8/11/4
The result in the form of a mixed number if we multiply the numerator of the complex fraction in part D by the reciprocal that you found in part E is 8[tex]\frac{1}{4}[/tex].
What is meant by a mixed number?A whole number and a legal fraction are both expressed together as a mixed number. A number between any two whole numbers is typically represented by it. An integer (whole number) plus a correct fraction together make up a mixed number, also known as a mixed fraction (a fraction whose numerator is less than its denominator).
Pretzels, peanuts, Cheerios, and of course rice and corn Chex are all included in this mix, which is why it is called a mix. It is possible for a number to contain both an integer and a fraction. As a result of combining these two sorts of numbers, they are known as "mixed numbers."
PART D:
(33/8)/(11/4)
Reciprocal of PART E is:
11/4
Therefore, multiplying it with PART D, we get:
=((33/8)/(11/4))×(11/4)
=(33/8)×(4/11)×(11/4)
=33/8
=8[tex]\frac{1}{4}[/tex]
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considering the arrhenius equation, what is the slope of a plot of ln k versus 1/t equal to? a) k b) -k c) ea d) -ea/r e) a
The slope of the equation is m that is derivative of the given function if you take the graph of ln (K) and 1/T. I t makes intercept at ln[A] and the slope is given by m= -Ea/R that means option D is correct.
For many physical and chemical reactions, the relationship between reaction rate and temperature is described by the Arrhenius equation.
Based on hydrolysis S2 peak data measured at multiple heating rates and burial histories occurring over geological time scales, Arrhenius-equation first-order reactions are useful for modelling the timing and temperatures of petroleum generation from organic-rich shakes and oestrogens at laboratory scales.
The slope of the equation is m that is derivative of the given function if you take the graph of ln (K) and 1/T. I t makes intercept at ln[A] and the slope is given by m= -Ea/R that means option D is correct.
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The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
The statements that are always true regarding the diagram of interior and exterior angles of a triangle include the following:
C. m∠5 + m∠6 =180°.
D. m∠2 + m∠3 = m∠6.
E. m∠2 + m∠3 + m∠5 = 180°.
What is the Linear Pair Postulate?In Geometry, the Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two (2) adjacent angles would be equal to 180º when two (2) parallel lines are cut through by a transversal:
m∠5 + m∠6 =180°.
What is the exterior angle property?In Mathematics, the exterior angle property can be defined as a theorem which states that the measure of an exterior angle in a triangle is equal in magnitude to the sum of the measures of the two remote or opposite interior angles of that triangle:
m∠2 + m∠3 = m∠6.
Additionally, the sum of all the angles that are formed by a triangle is equal to 180º and this is given by:
m∠2 + m∠3 + m∠5 = 180°,
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Meghan is a graphic designer and is trying to make a logo for the Victory Vegetables company.
First, she draws an obtuse triangle with her graphing program. Then, she duplicates the triangle, pastes a copy back in, and flips it over, as shown in the diagram.
What is the value of x?
x = ___
The value of the angle x in the triangle is; x = 70°
What is the value of the angle at a point?Looking at the given image, it is clear that both triangles are similar triangles. This is because we see that after the duplicate, 2 sides apiece are equal.
Thus, the third angle bordering the center of the triangle with one angle as 15° is;
y = 180 - (15 + 20)
Since sum of angles in a triangle equals 180 degrees.
y = 180 - 35
y = 145°
Similarly,
z = 180 - (20 + 15)
z = 180 - 35
z = 145°
Now, sum of angles at a point is 360 degrees. Thus;
x = 360 - (145 - 145)
x = 70°
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WILL MARK AS BRAINLEST!!!!!!!!!!!!!!!!
Answer:
63 = EHF
Step-by-step explanation:
We know that EHG is a right angle which is 90 degrees
FHG is 27 degrees
EHG = FHG + EHF
90 = 27+ EHF
90-27 = EHF
63 = EHF
The 3-D object shown below is a loading ramp. Find the total surface area
Solve the system of equations -5x-4y=-17−5x−4y=−17 and -3x-y=1−3x−y=1 by combining the equations.
The solutions of system of equation are x = 1 and y =-4.
What is the system of equation?One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given that the system of equation;
-5x-4y = -17 , (equation 1)
-3x-y = 1, (equation 2)
First step is to write both equation in the standard form, both of these above equations are in standard form.
Now we will make the coefficients of variable y opposite, for that we multiply -4 to the equation 2.
12x+4y = -4
Now, in equation 2 coefficients of variable y are opposite.
Next step is combining the both of the equation;
-5x + 12x = -17 -4
7x = -21
x = -3
Substitute the value of x into equation 2,
-3x-y = 1
-3 (-3) -y = 1
-y = 1-9
y = 8
Therefore, the solutions of system of equation, x = -3 and y = 8.
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Are of the square is 49 sq. ft
Find the value of x.
Answer: x=2
Step-by-step explanation:
Area of square = s^2
So we know that (2x+3)^2 = 49
We get rid of the square root first
2x + 3 = 7
2x = 4
x = 2
The cost of 7 sandwiches and 5 milkshakes is $79. The cost of 2 sandwiches and 5 milkshakes is $44. How much does one sandwich cost and one milkshake cost?
Cost of one sandwich is $7 and cost of milkshake $5.
What is an equation?
In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
According to question:
let cost of one sandwich be x and cost of milkshake be y .
7x + 5y = $79 -------(1)
2x + 5y = $44 -------(2)
subtracting equation 2 from 1 , we get
5x = 35
x = $7
so cost of one sandwich is $7.
now substituting value of x in equation 1 , we get
7(7) + 5y = 79
49 +5y = 79
5 y = 20
y = 4
so cost of one milkshake is $5.
Hence cost of one sandwich is $7 and cost of milkshake $5.
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bill and julio each thought of a whole number between 1 and 20.Bill"s number was 15 and Julio's number was 6.What percent of Julio's number was Bill"s number?
60% of Julio's number was Bill"s number
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
bill and julio each thought of a whole number between 1 and 20.
Bill"s number was 15
Julio's number was 6
We need to find what percent of Julio's number was Bill"s number
Original number minus new number by original number
(15-61)/15
9/15
0.6
Now we have multiply with 100 as it is a hundredth part.
0.6×100=60
Hence, 60% of Julio's number was Bill"s number
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Find the percent decrease from the first number to the second.
(1.) 150 to 100
(2.) 300 to 250
The percentage decrease from the first number to the second of 150 to 100 is 33.33% and for 300 to 250 is 16.67%.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
Initial number = 150
Final number = 100
Calculate the percentage decrease by the formula given below,
[tex]Percentage\ decrease = (Initial \ number -Final\ number )Initial\ number \times 100[/tex]
Percentage decrease = (150 - 100) / 150 × 100
Percentage decrease = 50 / 150 × 100
Percentage decrease = 33.33%
Similarly, for 300 to 250
Percentage decrease = (300 - 250) / 300 × 100
Percentage decrease = 50 / 300 × 100 = 16.67%
Therefore, the percentage decrease from the first number to the second of 150 to 100 is 33.33% and for 300 to 250 is 16.67%.
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Graph the function and identify the domain and range.
y=-0.25x^2
(-∞, ∞) is the domain of y=-0.25x² and (−∞,0] is range.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given function is y=-0.25x²
y equal to minus zero point two five times of x square.
We need to find the domain and range of the function.
Let us find few points of x and y.
x 0 1 2 3 4
y 0 -0.25 -1 -0.5625 -4
In the given attachment the graph is given.
The domain is:
{x∣x is R} or (-∞, ∞)
The range is {x∣x≤0} or (−∞,0]
Hence, the domain of y=-0.25x² is (-∞, ∞) and range is (−∞,0].
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can square roots have a decimal value
yes yes yes yes yes yes yes yes yes yes yes yes yes yes
Y=2x^2 + 3x+1
a.Find the x - and y-intercept
b. Where is the line of symmetry of this parábola? Write its equation
c. Find the coordinates of the vertex
For the parabola y = 2x² + 3x + 1,
a. i. The x-intercepts are x = -1/2 and x = -1
a. ii. The y-intercept is y = 1
b. i. The line of symmetry is at x = -3/4
b. ii. The equation of the line of symmetry is x = -3/4
c. The vertex is at (-3/4, -1/8)
What is a parabola?A parabola is part of a conic section which is a curve.
a. i. Find the x - interceptGiven the parabola y = 2x² + 3x + 1, we find the x- intercept when y = 0.
So, y = 2x² + 3x + 1
2x² + 3x + 1 = 0
2x² + 2x + x + 1 = 0
Factorizing, we have
2x(x + 1) + (x + 1) = 0
(2x + 1)(x + 1) = 0
2x + 1 = 0 or x + 1 = 0
2x = -1 or x = -1
x = -1/2 or x = -1
So, the x-intercepts are x = -1/2 and x = -1
ii Find the y intercept?Given the parabola y = 2x² + 3x + 1, we find the y- intercept when x = 0.
So, y = 2x² + 3x + 1
So, y = 2(0)² + 3(0) + 1
y = 0 + 0 + 1
y = 1
So, the y-intercept is y = 1
b. i. Where is the line of symmetry of this parábola?The line of symmetry passes through the vertex of the parabola where dy/dx = 0.
So, y = 2x² + 3x + 1
dy/dx = d(2x² + 3x + 1)/dx
= d(2x²)/dx + d3x/dx + d1/dx
= 4x + 3 + 0
= 4x + 3
So, when dy/dx = 0,we have
4x + 3 = 0
4x = -3
x = -3/4
So, the line of symmetry is at x = -3/4
ii. Write its equationThe equation of the line of symmetry is x = -3/4
c. Find the coordinates of the vertex?Since the vertex of the parabola is a t x = -3/4, substituting this into the equation, we have
y = 2x² + 3x + 1
y = 2(-3/4)² + 3(-3/4) + 1
y = 2(9/16) - 9/4 + 1
y = 9/8 - 9/4 + 1
y = (9 - 18 + 8)/8
y = (17 - 18)/8
y = -1/8
So, the vertex is at (-3/4, -1/8)
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Convert 79 pounds to kilograms. (1 pound = 0.454 kilogram)
17.4 kilograms
35.866 kilograms
174 kilograms
358.66 kilograms
Option B is correct answer, 79 pounds is equal to 35.866 kilograms.
What is unit conversion?
A unit conversion is used to express the same property in a different unit of measurement. Minutes can be used to measure time instead of hours, and feet, kilometers, or any other measurement can be used to measure distance in place of miles. Measurements are typically provided in one system of measurement, such as feet, but are necessary in a different system, such as chains. A mathematical formula known as a conversion factor enables an equivalent exchange of feet for chains.
As it is given in the question,
1 Pound = 0.454 Kilograms,
So, In order to convert 79 pounds into kilograms we have to multiply 0.454 by 79.
79 pounds = 79(0.454) kilograms
79 pounds = 35.866 kilograms
Therefore, option B is correct answer.
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Answer: 79 pounds = 35.866 kilograms. Option B is correct!
The Expert was correct. Can I get brainliest because it's right?
Find the value of x. I NEED A CORRECT ANSWER PLEASE AND THANK YOU
Answer:
77
Step-by-step explanation:
60+128+95+x=360
283+x=360
x=77
12
On the grid below shade the region that satisfies all these inequalities.
x21, y>-1, y<4-2x
T
4
2
-2-
पं
2
X
4
In factoring the expression 12x²y³ + 20x³y, which of the following is the greatest
common factor?
(F) 8x³y³
(G) 8x²y
(H) 4x²y
(I) 4xy
Answer:
12 and 24 gcf = 4
so the only choice left is
(H) 4x²y
(I) 4xy
12x²y³ + 20x³y = lowest of x is x² and y is y
then its
(H) 4x²y
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(3a2 – 5ab + b2) + (–3a2 + 2b2 + 8ab)
Which of the following shows the sum of the polynomials rewritten with like terms grouped together?
[3a2 + (–3a2)] + (–5ab + 8ab) + (b2 + 2b2)
[3a2 + (–3a2)] + (–5ab + 2b2) + (b2 + 8ab)
[3a2 + 3a2] + (5ab + 8ab) + (b2 + 2b2)
[3a2 + 3a2] + (5ab + 2b2) + (b2 + 8ab)
Answer:
(3a2 – 5ab + b2) + (–3a2 + 2b2 + 8ab)
Which of the following shows the sum of the polynomials rewritten with like terms grouped together?
[3a2 + (–3a2)] + (–5ab + 8ab) + (b2 + 2b2)
[3a2 + (–3a2)] + (–5ab + 2b2) + (b2 + 8ab)
[3a2 + 3a2] + (5ab + 8ab) + (b2 + 2b2)
[3a2 + 3a2] + (5ab + 2b2) + (b2 + 8ab)
The answer is A.
Step-by-step explanation:
a matched-subjects study and an independent-measures study both produced a t statistic with df = 16. how many individuals participated in each study?
A matched-subjects study and an independent-measures study both included 17 participants.
What is degree of freedom?In statistics, the number of degrees of freedom is the number of values in the final computation of a statistic that are free to change. Estimates of statistical parameters might be based upon differing quantities of information or data. Degrees of freedom refer to the maximum number of logically independent values in a data sample, which are values with the freedom to vary. Degrees of freedom is calculated by subtracting one from the number of items within the data sample.
Here,
Sample size=degree of freedom(df)+1
=16+1
=17
17 individuals participated in each study of a matched-subjects study and an independent-measures study both.
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