Answer:
The true statements are;
(i) m - n = n - m
(ii) +m (-n) = m - n
(iii) 0 = m - n
Step-by-step explanation:
We are given that m and n are both integers and we have to select all the statements that are true if m and n are also equal to each other.
(i) The given situation is: m - n = n - m
LHS = m - n
= m - m {because m and n are equal}
= 0
RHS = n - m
= n - n {because m and n are equal}
= 0
Hence, the given statement is true because LHS = RHS = 0.
(ii) The given situation is: +m (- n) = m - n
LHS = +m (- n)
= m - n
= m - m {because m and n are equal}
= 0
RHS = m - n
= n - n {because m and n are equal}
= 0
Hence, the given statement is true because LHS = RHS = 0.
(iii) The given situation is: 0 = m - n
LHS = 0
RHS = m - n
= m - m {because m and n are equal}
= 0
Hence, the given statement is true because LHS = RHS = 0.
(iv) The given situation is: m + n = 0
RHS = 0
LHS = m + n
= m + m {because m and n are equal}
= 2m
Hence, the given statement is not true because LHS [tex]\neq[/tex] RHS.
#1) m - n = n - m
#2) +m (-n) = m - n
#3) 0 = m - n
hope this HELPS!!!!!!!
is 7.401 larger or smaller then 7.04
Answer:
Larger
Step-by-step explanation:
Since, 7.401 > 7.04
Therefore, 7.401 is larger than 7.04.
Answer:
Larger.
7.401 = 7.40 (rounding)
7.40 > 7.04
Bye!
Select the appropriate technique with the problem you are looking for.
a. Checking the equal variance assumption
b. Checking the normal assumption
c. Check for model misspecification
d. Check for dependent errors
1. Create a scatterplot of hat versus your QN X's
2. Create a stem-and-leaf display of the zresiduals
3. Create a scatterplot of the residuals versus time period collected
4. Create a scatterplot of the residuals versus yhat
5. Create a scatterplot of the residuals versus your QN X's
Answer:
A, B, C, D
Step-by-step explanation:
(A) Checking the Equal Variance Assumption, the appropriate technique to use is:
- The ANOVA (Analysis of Variance) F test
- Plot residuals against fitted values
(B) Checking the Normal Assumption, the appropriate techniques to use are:
- Test for Kurtosis & Skewness
- Kolmogorov-Smirnov Test
- Q-Q Plots (the graphical method) also known as Quantile Plot
- Do not use a histogram; it is not advisable
(C) Checking for Model Misspecification, the appropriate techniques to use are:
- The Ramsey Regression Specification Error Test; also called RESET
- The Davidson & MacKinnon J. Test
(D) Checking for dependent errors, the appropriate technique to use is:
- Plot residuals against time variables
Which of the following fractions would convert into a repeating decimal
Answer: [tex]\frac{2}{9}[/tex]
Step-by-step explanation: It is 2/9 because 2/9 converts to 0.222222222...
Hope it helps!
find the unknown angles. please help
Answer:
60°, 60°, 60°
Step-by-step explanation:
Since, two side of the given triangle are congruent l. Therefore, measures of both the interior angle will be equal.
By remote interior angle theorem:
120° = x + x
120° = 2x
120°/2 = x
60° = x
Third angle = 180° - 120° = 60°
Hence measure of all the three angles of the triangle are 60°, 60° and 60°
y=3/2x+5 in standard form
Answer:
3x -2y = -5
Step-by-step explanation:
Standard form is ...
ax +by = c
where the leading coefficient (a, or b if a=0) is positive and a, b, c are mutually prime.
Multiplying the equation by 2 gives ...
2y = 3x +5
We can subtract 2y+5 to get standard form:
3x -2y = -5
A student wrote three papers in mathematics examination marks for two papers we're 77and 72 respectively.to obtain grade A, an average of not less than 75marks is required for the three papers
Answer:
The student must score at least 76 in the third subject
Step-by-step explanation:
Given
Scores in 2 subjects = 77 and 72
Number of subjects = 3
Required
Determine the scores in the third subject to get an average of 75
Represent the score in the third subject with y
Average in 3 scores is calculated as thus;
[tex]Average = \frac{Sum\ of\ 3\ scores}{3}[/tex]
Substitute 75 for Average
[tex]75 = \frac{Sum\ of\ 3\ scores}{3}[/tex]
Multiply both sides by 3
[tex]3 * 75 = \frac{Sum\ of\ 3\ scores}{3} * 3[/tex]
[tex]3 * 75 = Sum\ of\ 3\ scores[/tex]
[tex]225 = Sum\ of\ 3\ scores[/tex]
Substitute (77 + 72 + y) for Sum of 3 scores
[tex]225 = 77 + 72 + y[/tex]
[tex]225 = 149 + y[/tex]
Subtract 149 from both sides
[tex]225 - 149 = 149 - 149 + y[/tex]
[tex]225 - 149 = y[/tex]
[tex]76= y[/tex]
[tex]y = 76[/tex]
Hence, the student must score at least 76 in the third subject
Find the exact trigonometric ratios for the angle x whose radian measure is given. $$\frac{3 \pi}{4} $$
Answer:
Step-by-step explanation:
Before we can determine the exact trigonometric ratios for the angle x whose radian measure is given as [tex]\dfrac{3\pi}{4}[/tex], we need to first determine the quadrant the angle falls into.
The angle [tex]\dfrac{3\pi}{4}[/tex] = [tex]\dfrac{3*180}{4} = 135^0[/tex] and it falls in the second quadrant. since the angle is positive, we will use the trigonometry ratio that is positive in the second quadrant. The trigonometry ratio that is positive in the second quadrant is sin(x) while others are negative.
[tex]sin \frac{3\pi}{4} = sin (\pi - \frac{\pi}{4} ) = sin\frac{\pi}{4} = \frac{1}{\sqrt{2} } \\cos \frac{3\pi}{4} =cos (\pi - \frac{\pi}{4} ) = -cos\frac{\pi}{4} = -\frac{1}{\sqrt{2} } \\tan \frac{3\pi}{4} = tan (\pi - \frac{\pi}{4} ) = -tan\frac{\pi}{4} = -1[/tex]
Different amounts of force are applied to the same boat over several trials, and the acceleration is measured. In a graph of acceleration versus net force, what does the slope of the graph represent?
the speed of the boat <-- MY ANSWER
the inverse of the mass of the boat
the mass of the boat
the inverse of the speed of the boat
Thank you :)
Answer: The inverse mass of the boat (B)
Step-by-step explanation:
The relationship between force, mass and acceleration is: [tex]F = ma[/tex]. So, the slope of the graph represents the inverse of the mass of the boat.
From the question, we understand that the graph is acceleration vs net force.
This means that, the points on the graph will be:
[tex](F_1,a_1)[/tex] and [tex](F_2,a_2)[/tex]
The slope (m) of a linear graph is:
[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, it will be:
[tex]m =\frac{a_2 - a_1}{F_2 - F_1}[/tex] ---- slope
Recall that:
[tex]F = ma[/tex]
Make mass (m) the subject
[tex]m = \frac Fa[/tex]
See attachment for further explanation
Hence, the slope of the graph represents (b) the inverse of the mass of the boat
Read more about force, mass and acceleration at:
https://brainly.com/question/1046166
What is the value of (45−13)×52+56 expressed in simplest form?
4,336 is 10 times as much as?
Answer:
433.6
Step-by-step explanation:
Evaluate the expression shown below and write your answer as a fraction in simplest form. 3 (-20 8 Answer: Submit Answer attempt 1 out of 2 O
Answer:
[tex] -\frac{1}{40} [/tex]
Step-by-step explanation:
To evaluate [tex] -\frac{3}{8} - (-\frac{7}{20}) [/tex], start by opening the bracket.
When opening the bracket, we would be multiplying negative sign by negative sign, which equal positive sign.
Thus,
[tex] -\frac{3}{8} + \frac{7}{20} [/tex]
Solve further by performing addition operation to make both fractions one
The common denominator of 8 and 20 is 40,
[tex] \frac{5(-3) +2(7)}{40} [/tex]
[tex] \frac{-15 + 14}{40} [/tex]
[tex] \frac{-1}{40} = -\frac{1}{40} [/tex]
The answer of given expression in simplest form is: [tex]\dfrac{-1}{40}\\[/tex]
The given expression is:
[tex]-\dfrac{3}{8} - (-\dfrac{7}{20})[/tex]
Multiplying negative sign with negative sign will result in positive sign of the latter term.
The simplification will be done as follows:
[tex]\\-\dfrac{3}{8} - (-\dfrac{7}{20})\\\\= -\dfrac{3}{8} + \dfrac{7}{20}\\\\=\dfrac{-3 \times 5 + 7 \times 2}{40}\\\\= -\dfrac{1}{40}\\[/tex]
In the above process, we the lcm of 8 and 20 was taken which is equal to 40.
Thus, the simplest form of the given expression is [tex]\dfrac{-1}{40}\\[/tex].
Learn more here:
https://brainly.com/question/24161414
zalman started solving 53 times 26 by breaking the problem into parts. Here is what he has done so far 50 times 20=1000 50 times 6=300 3 times 20= 60 what does he still need to multiply
Answer:
3 * 6 = 18
Step-by-step explanation:
53 * 26 =
= (50 + 3) * (20 + 6)
= 50 * 20 + 50 * 6 + 3 * 20 + 3 * 6
= 1000 + 300 + 60 + 18
Answer: 3 * 6 = 18
While playing a video game a player collected 18 of the 45 available coins right and simplify a fraction to represent the situation
Answer:
2 / 5
Step-by-step explanation:
Fractions are written in the form part/whole, in this case, the part is 18 and the whole is 45 so the fraction would be 18 / 45 which simplifies to 2 / 5.
make h the subject A=1/2(a+c)h
Answer:
h = [tex]\frac{2A}{a+c}[/tex]
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex](a + c)h
Multiply both sides by 2 to clear the fraction
2A = (a + c)h ( divide both sides by (a + c) )
[tex]\frac{2A}{a+c}[/tex] = h
Answer:
[see below]
Step-by-step explanation:
[tex]a = 1/2(a+c)h\\\\1/2(a+c)h = a\\\\2 * 1/2(a+c)h = a * 2\\\\h(a+c)=2a\\\\\frac{h(a+c)}{a+c}=\frac{2a}{a+c}; a \neq -c\\\\\boxed{h=\frac{2a}{a+c}; a \neq -c}[/tex]
Hope this helps.
Write an expression to match this situation and combine like terms: Ling has 4m pounds of flour. She buys another 2 packages of flour, each weighing m pounds. How much flour does ling have in terms of m?
Answer:
4m + 2m = 6m
Step-by-step explanation:
What is the explicit rule for the geometric sequence? 4.05,1.35,0.45,0.15,...
Step-by-step explanation:
Since the above sequence is a geometric sequence
For an nth term in a geometric sequence
That's
[tex]A(n) = a( {r})^{n - 1} [/tex]
where
r is the common ratio
a is the first term
n is the number of terms
From the question
a = 4.05
r = 1.35 / 4.05 = 0.33
Substitute the values into the above formula
We have
[tex]A(n) = 4.05( {0.33})^{n - 1} [/tex]
Hope this helps you
Which are vertical angles?
O AFE and BFD
O BFC and DFE
O AFE and CFD
O BFC and EFA
Answer:
✔️AFE AND BFD
Step-by-step explanation:
vertical angles are angles are formed from a pair of intersecting lines. The vertical angles are angle AFE and BFD
What are vertical angles?These angles are formed from a pair of intersecting lines, The meet at a point X in a figure.
from the given figure, we need to find which of the angles are vertical angles. Since vertical angles are equal, hence the measure of this angles must be equal.
From the diagram, the vertical angles are angle AFE and BFD
Learn more on vertical angles here: https://brainly.com/question/4191966
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How do you simplify x-2/2-x?
Answer:
-1
Step-by-step explanation:
Simplify the following:
x - 2/2 - x
Hint: | Reduce (-2)/2 to lowest terms. Start by finding the GCD of -2 and 2.
The gcd of -2 and 2 is 2, so (-2)/2 = (2 (-1))/(2×1) = 2/2×-1 = -1:
x + -1 - x
Hint: | Group like terms in x - 1 - x.
Grouping like terms, x - 1 - x = (x - x) - 1:
(x - x) - 1
Hint: | Look for the difference of two identical terms.
x - x = 0:
Answer: -1
the supplement of a 45 degree angle is
Answer:
135°
Step-by-step explanation:
The supplement of an angle is the measure in which, when combined with the previous angle, will total up to 180°. Since we already know the measure of 1, we can easily find the supplement, assuming [tex]x[/tex] is the supplement of 45.
[tex]45 + x = 180\\\\x = 180-45\\\\x=135[/tex]
Hope this helped!
Kate is making a pasta salad for her family party. She has 3 pounds of pasta salad to serve 12 people. She wants to give an equal amount of pasta salad to each person in her family. How much pasta salad should Kate put in each person’s bowl?
Answer:
0.25 of a pound, 1/4
Step-by-step explanation:
3 divided by 12 = 0.25
Trigonometry question! NEED HELP ASAP
Answer:
12.3 = y
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 35 = y/15
15 cos 35 = y
12.28728066 = y
To the nearest tenth
12.3 = y
I have a rectangular garden. I usually grow
carrots in 2/5 of my garden but I want to
take 1/4 of the carrots section to grow
strawberries. After I make this change, how
much of my whole garden will be
strawberries?
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
If you originally have [tex]\frac{2}{5}[/tex] of your garden reserved for carrots, are taking [tex]\frac{1}{4}[/tex] of the carrot space ( [tex]\frac{2}{5}[/tex] ) for strawberries, then the total amount of your garden left for strawberries will be [tex]\frac{2}{5}\cdot\frac{1}{4}[/tex]
[tex]\frac{2}{5}\cdot\frac{1}{4} = \frac{2}{20}[/tex]
[tex]\frac{2}{20}[/tex] simplifies down to [tex]\frac{1}{10}[/tex].
Hope this helped!
Which of the following is required by k-means clustering ? a. defined distance metric b. number of clusters c. initial guess of centroids d. all of the above
Answer:
d. all of the above
Step-by-step explanation:
K-means clustering is a term used to describe a technique of vector quantization, that attempts to partition "n" observations into "k" clusters whereby each observation refers to the cluster with the closest mean which represents a model of the cluster.
This implies that the K-means algorithm recognizes the "k" number of centroids, and then assigns every data point to the closest cluster while the centroids remain as small as possible.
Hence, the following is required of K-means clustering:
1. defined distance metric
2. number of clusters
3. initial guess of centroids
Therefore, in this case, the correct answer is option D: All of the above.
. Which category(s) does 75% belong? I. Real II. Whole III.Rational IV. Integer V. Irrational VI. Natural *
A. III and IV only
B. I and III only
C. I, II, IV, V, and VI only
D. I, II, III, IV, and VI only
E. I, II, and III
Answer: B.) 1 and 111 only
Real, rational
Step-by-step explanation: Real is an encompassing terms when defining numbers as it includes all integers, whole, rational and irrational numbers. Therefore 75% belondmgs to a category of real numbers.
75% which is equivalent to 75/100 is a rational number as it can be written in the form p/q . where both p and q are integers and q is not 0. This also means 75% is not an irrational number.
75% = 0.75 is neither a whole number nor an integer as it contains decimal.
75% is not a natural number as natural numbers are counting numbers starting from 1.
Graph the image of the given segment under a di6with scale factor -1/3 and center of dilatation (0,0). Line on graph is A (-6,9) B (-3,3) please explain to me how I solve this.
Answer:
A ' = (2, -3)
B ' = (1, -1)
See attached image below for the diagram
========================================================
Explanation:
Point A is originally at (-6, 9). It moves to A ' (2,-3) after applying the scale factor. This is because we basically multiply the scale factor (-1/3) by each coordinate of point A
-6 * (-1/3) = 2
9 * (-1/3) = -3
The negative scale factor is like a mirror in a way. Points in negative regions move to positive regions, and vice versa. Since |-1/3| = 1/3 is less than 1, this means the new point (2,-3) is closer to (0,0) compared to its original counterpart.
Point B follows the same idea
B(-3,3) moves to B ' (1, -1) after multiplying each coordinate by -1/3
-------------
Side note: The segment A'B' is 1/3 as long compared to segment AB.
Solve the problem.When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of bananas for several different ethylene exposure times. Plot the data and then find a line approximating the data. With the aid of this line, determine the rate of change of ripening time with respect to the exposure time. Round your answer to two significant digits.
The table and the plotted data are in the attachment.
Answer and Step-by-step explanation: A line of best fit is the best approximation of the given data. It is used to show the relation of two variables and it can be determined, more accurately, by the Least Square Method.
To use the method, follow the steps:
1) Calculate the mean of the two variables:
[tex]X = \frac{\Sigma x_{i}}{n}[/tex]
[tex]Y=\frac{\Sigma y_{i}}{n}[/tex]
2) The Slope of the line is given by:
[tex]m=\frac{\Sigma (x_{i}-X)(y_{i}-Y)}{\Sigma (x_{i}-X)^{2}}[/tex]
3) The y-intercept is found by the formula:
[tex]b=Y-mX[/tex]
For the ripening of bananas, the least square method gives the line:
y = -0.142x + 5.56
The rate of change of a line equation is its slope, so
Rate of change = -0.14
The rate of change of ripening time with respect to exposure time is -0.14, which means the more expose the fruit is, the less time it needs to ripe.
Hurry Please!!! Which two numbers on the number line have an absolute value of 4 Select the location of both numbers on the number line.
Answer:
-4 and 4
Step-by-step explanation:
Hello!
An absolute value is a number regardless if it is negative or positive
For example, the absolute value of -6 is 6, -3 is 3 and 5 is 5
So numbers that have an absolute value of 4 are 4 and -4
Hope this Helps!
Below is the graph of a polynomial. Which of the following statements about
this graph is true?
Find the greatest common factor of 16 and 36
Answer:
GCF= 4
Step-by-step explanation:
A factor is a number that evenly divides into another number.
First, list the factors of 16.
1 , 2, 4, 8, 16
Next, list the factors of 36
1 , 2 , 3, 4, 6, 9, 12, 18, 36
Now, find the GCF, or greatest common factor. The GCF is the largest factor that both numbers share.
16 : 1 , 2, 4, 8, 16
36 : 1 , 2 , 3, 4, 6, 9, 12, 18, 36
When we compare the lists, we see the biggest number that appears in both lists is 4.
The Greatest Common Factor of 16 and 36 is 4.
Answer: 4
Step-by-step explanation: The Greatest Common Factor of two
numbers is the largest factor shared by both numbers.
As a review in case you didn't know, a factor of a
number divides into that number without a remainder.
To find the greatest common factor of 16 and 36,
we begin by finding all of the factors of each number.
Let's start by finding the factors of 16.
16 ÷ 1 = 16
16 ÷ 2 = 8
16 ÷ 4 = 4
We can stop here because if we continue
dividing, we won't find any new factors.
So the factors of 16 are 1, 2, 4, 8, and 16.
Now let's find the factors of 36.
36 ÷ 1 = 36
36 ÷ 2 = 18
36 ÷ 3 = 12
36 ÷ 4 = 9
36 ÷ 6 = 6
So the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Now find the largest number shared by the two lists.
In this case, the largest number is 4.
So the greatest common factor of 16 and 36 is 4.
What is 3.173 rounded to the nearest tenth
THE answer is 3.173≅3.2(nearest tenth)