How do you remember commutative and associative property?
Answers
The commutative property of addition states that a + b = b + a and the commutative property of multiplication states that a × b = b × a and the associative property of addition states that (a + b) + c = a + (b + c) and the associative property of multiplication states that: (a × b) × c = a × (b × c).
Commutative Property - The Commutative Property is derived from the word commute, which means to move. It states that the product or sum of two numbers do not change even if the places of numbers are changed or if the numbers move from one place to another. The commutative property of addition states that a + b = b + a and the commutative property of multiplication states that a × b = b × a.
Associative Property - It is related with the grouping of numbers. It states that the product or sum of three numbers do not change even if the grouping of numbers are changed. The associative property of addition states that (a + b) + c = a + (b + c) and the associative property of multiplication states that: (a × b) × c = a × (b × c).
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Related Questions
Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)
Answers
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
What is the triangle?Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
Here,
Given : Triangle STU is a right triangle.
Thus,
We find :
sides s,t and u
the relationship between them is :
As it is a right triangle
So,
According to the pythagoras theorem,
=>u²= t²+s²
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
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use the root test to determine the convergence or divergence of the given series or state that the root test is inconclusive. is: [infinity]
Σ 1/n8n
n=1
l=lim n√|an|= ____ (enter 'inf' for [infinity].) n->[infinity] [infinity]
Σ 1/n8n is:
n=1
a. convergent b. divergent c. the root test is inconclusive
Answers
The root test is inconclusive for the series Σ 1/n8n.
To determine the convergence or divergence of the series Σ 1/n8n using the root test, we need to calculate the limit as n approaches infinity of the nth root of the absolute value of the nth term. In this case, the nth term is 1/n8n.
Calculating the limit, we have lim n→∞ (n√|1/n8n|).
Simplifying the expression inside the absolute value, we get 1/n^8n = 1/n^(8n) = 1/n^(8n) = 1/(nⁿ⁸) = 1/(n⁸ⁿ).
Taking the nth root of the absolute value, we have
n√|1/n⁸ⁿ| = n√(1/(n⁸ⁿ)).
As n approaches infinity, the expression (1/(n^8n)) approaches zero because the denominator, n⁸ⁿ, grows much faster than the numerator, 1. Therefore, the nth root of the absolute value approaches 1.
Since the limit is equal to 1, the root test is inconclusive. The root test does not provide sufficient information to determine whether the series
Σ 1/n8n is convergent or divergent.
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Please help transition math question
Answers
A marathon runner who travels 5/2 miles in 1/4 hour how many miles can he run in 4 hours
Answers
Answer:
40 miles
Step-by-step explanation:
2.5 miles / .25 hours = 10 miles per hour
(10 miles per hour)(4 hours) = 40 miles
Plzz help me! Choose the correct slope of the line that passes through the points (1, -3) and (3, -5).
OO
O-1
O 1
0 1
2.
Answers
Answer:
The answer is - 1Step-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)
From the question the points are
(1, -3) and (3, -5)
The slope is
\(m = \frac{ - 5 - - 3}{3 - 1} = \frac{ - 5 + 3}{2} = - \frac{2}{2} = - 1 \\ \)
We have the final answer as
- 1Hope this helps you
Answer:
3 and negative 5
Step-by-step explanation:
Least common denominator of 6 and 9
Answers
Answer:
18 because 6 x 3 = 18 and 9 x 2 =18
Step-by-step explanation:
hey, i would really appreciate it if someone helps me with this. It's just one multiple choice question.
Answers
Answer:
2
Step-by-step explanation:
Hope you pass
A grocery store had 38 employees, but then they hired 4 more people. What is the percent change in their staff?
Answers
The percentage change in the staff strength of the grocery store is 10.53%.
How to find the percentage change?
We are given;
Number of employees in store = 38 employees
Number of additional people hired = 4 employees
Thus, percentage change in their staff is;
4/38 * 100% = 10.53%
Thus, the percentage change in the staff strength of the grocery store is 10.53%.
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Identify the initial value and rate of change for the graph shown.
A coordinate plane graph is shown. A line is graphed that passes through the y-intercept at 4 and through the point 4 comma 1.
a
Initial value: 5.5, rate of change: negative 3 over 4.
b
Initial value: 4, rate of change: negative 3 over 4.
c
Initial value: negative 3 over 4., rate of change: 4
d
Initial value: negative 3 over 4., rate of change: 5.5
Thanks :')
Answers
The solution is Option B.
The equation of line is given by y = ( -3/4 )x + 4 , where the rate of change is the slope m = ( -3/4 ) and the initial value is 4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
A line is graphed that passes through the y-intercept at 4 and through the point P ( 4 , 1 )
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = mx + 4 be equation (1)
when y = 1 , x = 4
1 = 4m + 4
Subtracting 4 on both sides of the equation , we get
4m = -3
Divide by 4 on both sides of the equation , we get
m = -3/4
So , the slope of the line is m = -3/4
Therefore , the equation of line is y = ( -3/4 )x + 4
Now , the initial value of the equation is when x = 0
So ,
y = ( -3/4 ) ( 0 ) + 4
y = 4
So , the initial value of f ( 0 ) = y = 4
Hence , the equation of line is y = ( -3/4 )x + 4
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Which are the solutions of 5x2 + 2x - 3 = 0 by factoring?
Answers
Answer:
\(x=\frac{3}{5}\)
x = - 1
Step-by-step explanation:
5x² + 2x - 3 = 0
5x² + 2x - 3x = 0
(5x² + 5x) + (- 3x - 3) = 0
5x(x + 1) - 3(x + 1) = 0
(5x - 3)(x + 1) = 0
Create separate equations.
5x - 3 = 0
x + 1 = 0
5x - 3 = 0
5x - 3 + 3 = 0 + 3
5x = 3
5x ÷ 5 = 3 ÷ 5
\(x=\frac{3}{5}\)
x + 1 = 0
x + 1 - 1 = 0 - 1
x = - 1
PLEASE HELP! I'LL GIVE BRAINLIEST:)
The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is (2, -3) (2, 3) (-2, 3)
Answers
Step-by-step explanation:
We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :
\( {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \)
Given, the equation of circle
\( {(x + 2)}^{2} + (y - 3) ^{2} = 25 = {5}^{2} \)
By comparing, we will get,
h = -2
k = 3
So, center of the circle is ( -2,3)
\(\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \bf\:Mark\\\bf\:me\:as\\\bf brainliest \end{array}}}} \\ \)
Answer:
-2;3
Step-by-step explanation:
we have a formular
(x-a)^2 +(y-b)^2=c
the center of the cirlce is (a;b)
so in this case it's (-2;3)
When the 12-lb block A is released from rest it lifts the two 15-lb weights B and C. Determine the maximum distance A will fall before its motion is momentarily stopped. Neglect the weight of the cord and the size of the pulleys.
Answers
The maximum distance before its motion will be 0.1552x.
Why Maximum distance will be 0.1552x?
Given data:
Weight of block A, W₁ = 12-lb
Weight of block B and C,
W₂ = W₃ = 15-lb
Let us assume that the maximum distance A will fall before its motion is momentarily stopped is h.
Let us apply the work-energy principle.
W₁gh = 2(W₂ + W₃) × x
where x is the distance moved by weights B and C.
Since the pulleys and the cord are weightless, therefore there is no loss in energy due to these factors. So, all the potential energy of block A is converted to the kinetic energy of the three bodies.
∴ W₁gh = 2(W₂ + W₃) × x 12 × 32.2 × h
= 2(15 + 15) × x386.4h = 60x
= h = 60x/386.4 ⇒ h = 0.1552x
Thus, the maximum distance A will fall before its motion is momentarily stopped is 0.1552x.
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Calculus II integrals
Find the area of the shaded region. y у y=x² y 84 By= 2 x+16 (1,6) 6 (2, 4) (-2, 4) 2 y = 8 - 2x) х 4 2. 4 -2 A= Read it Need Help?
Answers
Answer:
Area of shaded region is A = -144744
Step-by-step explanation:
To find the area of the shaded region, we need to identify the boundaries of the region and set up the integral.
From the given graph, we can see that the shaded region is bounded by the curves y = x^2, y = 2x + 16, and the y-axis.
To find the x-values where these curves intersect, we can set the equations equal to each other and solve for x:
x^2 = 2x + 16
Rearranging the equation, we get:
x^2 - 2x - 16 = 0
Using quadratic formula or factoring, we find that the solutions are x = -4 and x = 4.
Thus, the boundaries of the shaded region are x = -4 and x = 4.
To set up the integral for the area, we need to integrate with respect to y since the region is bounded vertically. The integral will be from y = 0 to y = 84.
The area can be calculated as follows:
A = ∫[0, 84] (upper curve - lower curve) dx
A = ∫[0, 84] [(2x + 16) - x^2] dx
Integrating, we have:
A = [x^2 + 16x - (x^3/3)]|[0, 84]
A = [(84^2 + 16(84) - (84^3/3)) - (0^2 + 16(0) - (0^3/3))]
A = [7056 + 1344 - (392^2)] - 0
A = 7056 + 1344 - 154144
A = -144744
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find the surface area of a cube 5in height 8 in length and 6 in base pls help
Answers
if its wrong that means you didn't explain it correct tell me if its wrong and ill solve it correctly if you say what's the width, length and height the answer is down below.
Answer: 236 in²
Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answers
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
a researcher recorded reaction time to respond to a sound. if the data of the research subjects are presented in a frequency distribution graph, what type of graph should be used?
Answers
If the data of the research subjects are presented in a frequency distribution graph, a histogram-type graph should be used.
If the data are presented in a frequency distribution graph, then the type of graph that should be used is a histogram. A histogram is a type of bar graph that displays the distribution of a continuous variable by dividing the range of values into intervals, and bins, and counting the number of observations that fall within each bin.
If the academic majors were nominal a bar graph could also be used to display the frequency of each major. In a bar graph, each category would be plotted on the horizontal axis, and the frequency of students in each category would be plotted on the vertical axis.
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Dilate the Jack-o-Lantern face with the scale factor of 3.
i know it’s november 2nd but i really need the answer of this before thursday because i need extra points and i’m kinda lazy to thisand kinda confused at the same time ♀️
Answers
Answer:
vbvb
Step-by-step explanation:
Round the number 63,825
On the hundreds place
Answers
Answer:
63,800
Step-by-step explanation:
Answer:
63,800
hope this helps :3
Drag the two ordered pairs that are 5.5 units apart.
(-3, -3.5)
(-1.5, 2)
(-1.5, 2.5)
(5, 1.5) (5, -3.5)
(-1.5, -3.5)
Answers
Answer: (-1.5, 2) and (-1.5, -3.5)
Step-by-step explanation:
The distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
A simpler case, is when we have two points where one of the components is the same for both of them, like:
(a, b) and (a, c)
Then the distance will be:
D = √( (a - a)^2 + (b - c)^2 ) = Ib - cI
Then we need to look for points that have an equal component, and the difference between the other two components is exactly 5.5
The solution will be:
(-1.5, 2) and (-1.5, -3.5)
Where the x-component is the same in both of them, then the distance will be:
D = I2 - (-3.5)I = I2 + 3.5I = 5.5
Select the correct answer. what is the value of the third quartile of the data set represented by this box plot? a box plot with lower quartile, median and upper quartile values as 21, 26, and 29, respectively. the whiskers on both the ends end at 19 (minimum) and 33 (maximum). a. 19 b. 21 c. 26 d. 29
Answers
Answer:
D. 29
Step-by-step explanation:
just did the test and got it correct. Edmentum, Plato.
help me pleaseeeeeeee
Answers
Tan (angle)= opp/adj
Tan (39) = X / 30
Therefore Tan(39) x 30 = x
So X= 108.44
after creating a ratio table if each ratio was simplified will you get the same answer for each?plz help 30 points
Answers
Answer:
no that is just impossible to get the same for each
Step-by-step explanation:
Which graph represents y = -2x
Answers
Answer: Second Option, with a downward trend from left to right.
Step-by-step explanation:
We just have to find a graph that matches up with a slope of -2 or a rise/run of -2/1.
The graph represented by y = -2x is the graph in option B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The equation, y = -2x is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
In the graph attached with the answer below it is observed that the line y = -2x is passing from the origin and covering the second and the fourth quadrant of the coordinate axis x and y.
It is also observed that the line y = -2x is passing from the point (0,0) then the y-intercept is zero for the equation.
Therefore, the graph represented by y = -2x is the graph in option B.
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i need help on this question answer!
Answers
200x = 1250
x = 6.25
25/100 = 15/60
6 hr 15 min
You polled 2805 Americans and asked them if they drink tea daily. 724 said yes. With a 95% confidence level, construct a confidence interval of the proportion of Americans who drink tea daily. Specify the margin of error and the confidence interval in your answer.
Answers
According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766). The margin of error is approximately 0.0140.
How to construct a confidence interval?To construct a confidence interval for the proportion of Americans who drink tea daily, we can use the formula:
Confidence Interval = p ± Z * \(\sqrt\)((p * (1 - p)) / n)Where,
p = the sample proportion
Z = the critical value corresponding to the desired confidence level
n = the sample size
Given:
Sample size (n) = 2805Number of Americans who drink tea daily (p) = 724/2805 ≈ 0.2580 (rounded to four decimal places)Z-value for a 95% confidence level ≈ 1.96Now, let's calculate the confidence interval and margin of error:
Confidence Interval = 0.2580 ± 1.96 * \(\sqrt\)((0.2580 * (1 - 0.2580)) / 2805)Confidence Interval ≈ (0.2485, 0.2766)Margin of Error = 1.96 * \(\sqrt\)((0.2580 * (1 - 0.2580)) / 2805)Margin of Error ≈ 0.0140According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766), with a margin of error of approximately 0.0140.
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What is the measure of the angle?
А 30°
В. 60°
с. 90°
D. 120
E. 150
Answers
Please Help? For the function f(x) = 2|x – 1|, what is the average rate of change over the interval –1 ≤ x ≤ 1?
average rate of change:__
Answers
========================================================
Explanation:
Plug in x = -1 to find that
f(x) = 2|x-1|
f(-1) = 2|-1-1|
f(-1) = 2|-2|
f(-1) = 2*(2)
f(-1) = 4
If you repeat for x = 1, you should find that f(1) = 0
--------
Now use the average rate of change formula below. Effectively, we're using the slope formula more or less.
\(m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(1)-f(-1)}{1-(-1)}\\\\m = \frac{0-4}{1+1}\\\\m = \frac{-4}{2}\\\\m = -2\\\\\)
The average rate of change on this interval is -2
This is the same as finding the slope through the points (-1, 4) and (1, 0).
Answer this math question for 15 points
Answers
Hello !
1 - a
2 - d
3 - b
4 - c
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2
Find F[G(x)] - F(x).
4x + 4
4x
4x + 2
Answers
Step-by-step explanation:
F[G(x)]=2(3x+2)-1= 6x+4-1= 6x +3
F[x]=2x-1
F[G(x)] - F(x)=6x+3-(2x-1)=6x+3-2x-1
=4x+2
answer=4x+2
Answer: A
Step-by-step explanation:
\(F(x)=2x-1\\G(x)=3x+2\\\\F(G(x))-F(x)=F(3x+2)-(2x-1)\\\\=2*(3x+2)-1-2x+1\\\\=6x+4-2x\\\\=4x+4\\\\\\Answer\ A\)
a company has the following information regarding its forecast performance in the past three periods. icture what is the mean absolute deviation (mad)? question 26 options: 225 -66.7 1200 200
Answers
The mean absolute deviation over three period of time is 200
The absolute value of error in period 1 = 300
The absolute value of error in period 2 = 200
The absolute value of error in period 3 = -100
Total absolute value of error = The absolute value of error in period 1 + The absolute value of error in period 2 + The absolute value of error in period 3
Substitute values in the equation
Total absolute value of error = 300 + 200 + 100
= 600
The mean absolute deviation = Total absolute value of error / 3
Substitute the values in the equation
The mean absolute deviation = 600 / 3
= 200
Therefore, the mean absolute deviation is 200
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