Step-by-step explanation:
z+w= 1+3i-3-4i = -2-i
w+z=-3-4i+1+3i = -2-i
So, z+w = w+z
So, complex number addition is commutative
If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
What is commutativity property of addition?We are aware that the addition's commutative property states that altering the addends' order will not affect the sum.
How to solve it ?Here z = 1 + 3i and w = -3 - 4i.
Now, z + w = 1 + 3i - 3 - 4i = 1 - 3 + 3i - 4i = - 2 - i
and w + z = - 3 - 4i + 1 + 3i = - 3 + 1 - 4i + 3i = - 2 - i
i.e. z + w = w + z
Clearly, the addition obeys the commutative property.
Therefore we can conclude that If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
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If an angle measuring 18 ° is bisected to form two new angles , what is the measure of each new angle ?
Answer:
9 degrees
Step-by-step explanation:
18/2=9
Find the value of x. 4^3 = x
Answer:
x=64
Step-by-step explanation:
Consider continuous functions f and g. Then complete the statement.
(See attachment)
The x-intercept of the function f is (greater than, equal to, or less than) the x-intercept of function g.
(Multiple choice in the parentheses)
Correct answer receives BRAINLIEST! Have a great day. ❤️
Using the concept of x-intercept, it is found that the correct statement is:
The x-intercept of the function f is greater than the x-intercept of function g.What is the x-intercept of a function?The x-intercept of a function is the value of x when y = 0.In this problem, in function f(x), when f(x) = 0, x = 3, hence the x-intercept is x = 3.
Function g(x) is defined by:
[tex]g(x) = 2 + \sqrt[3]{3x + 1}[/tex]
Hence, the x-intercept of g(x) is found as follows:
[tex]g(x) = 0[/tex]
[tex]2 + \sqrt[3]{3x + 1} = 0[/tex]
[tex]\sqrt[3]{3x + 1} = -2[/tex]
[tex](\sqrt[3]{3x + 1})^3 = (-2)^3[/tex]
[tex]3x + 1 = -8[/tex]
[tex]3x = -9[/tex]
[tex]x = -\frac{9}{3}[/tex]
[tex]x = -3[/tex]
The x-intercept of g(x) is -3, which is less than the x-intercept of function f(x), hence, the correct statement is:
The x-intercept of the function f is greater than the x-intercept of function g.To learn more about the concept of x-intercept, you can take a look at https://brainly.com/question/24737967
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 14 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.
A. Which form of the null and alternative hypotheses most appropriate for this situation.
B. Comment on the conclusion when H0 cannot be rejected.
1. No evidence that the new plan increases sales.
2. The research hypothesis ? > 24 is supported; the new plan increases sales.
C. Comment on the conclusion when H0 can be rejected.
1. No evidence that the new plan increases sales.
2. The research hypothesis ? > 24 is supported; the new plan increases sales.
Answer:
A) Null Hypothesis: H0: μ ≤ 14
Alternative hypothesis: Ha: μ > 14
B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases
sales volume.
C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume
Step-by-step explanation:
A) We are told that the mean sales volume is 14 automobiles per month.
The hypotheses is defined as follows;
Null Hypothesis: H0: μ ≤ 14
Alternative hypothesis: Ha: μ > 14
B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases
sales volume.
C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume.
Which functions are symmetric with respect to the origin?
y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx
Answer:
y=arcsinx and y=arctanx
Step-by-step explanation:
The functions that are symmetric with respect to the origin will be y = arcsin x and y = arctan x. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.
Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.
The functions that are symmetric with respect to the origin will be y = arcsin x and y = arctan x. Then the correct option is D.
The diagram is given below.
More about the function link is given below.
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Due today HELP PLEASEEEEE!!!
Answer:
Oiiiiio ka cha thik cha
g Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.
Complete question is;
In a recent poll of female college students, 70% stated that they plan to graduate with a STEM degree. A math teacher at ODU decides to randomly sample 15 female college students. Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.
Answer:
σ = 1.77
Step-by-step explanation:
We are told that 70% stated that they plan to graduate with a STEM degree.
This means that probability of success is; p = 70% = 0.7
A sample of 15 female college students were randomly selected, this means that number of trials is;
n = 15
Now,in binomial distribution formula for standard deviation is;
σ = √(np(1 - p))
Plugging in the relevant values, we have;
σ = √(15 × 0.7 × (1 - 0.7))
σ = √(15 × 0.7 × 0.3)
σ = √3.15
σ ≈ 1.77
What does h(40) = 1700 mean in terms of the problem?
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1250
1400
1550
1700
1850
2000
2150
Answer:
40 hours of training=h(40)
Monthly Pay=1700
Step-by-step explanation:
For 40 hours of training, you will receive $1700 for the month.
(25+,-,* 4) +,-,*3 +,-,*7=9
34(8x – 6) – 2 = 12 – x
Answer:
sorry for my handwriting
i think this is the correct answer
It snowed 68.5 cm in one day. How much did it snow in meters?
Answer: 0.685 meters
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 meter = 100 cm
x = 68.5
Cross multiply
68.5 * 1 = 100 * x
Divide by 100
68.5/100 = x
x = 0.68.5
What is the determinant of A=
3
1
11
-1
-14 is the Determinant of given matrices A.
What is the determinant?A scalar value connected to the square matrix is known as the determinant. If X is a matrix, then |X| or Det is used to indicate the matrix's determinant (X).
Given a Mtrix A:
3 1
11 -1
The formula for the determinant of a matrix:
The determinant of a 2x2 matrix A = [ a b c d ] is |A| = ad - bc. It is simply obtained by cross-multiplying the elements starting from the top left and then subtracting the products.
In our case,
Determinants of A = (3 * -1 ) - (1 * 11)
Determinants of A = -3 -11
Determinants of A = -14
Therefore, the Determinant of given matrices A is -14.
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Complete question:
What is the determinant of
A= 3 1
11 -1
Answer please so hard
Answer:
b s=3w
Step-by-step explanation:
when graphed its a straight line and it goes through the orgin so its proportional
The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled. Find the mean.
1
2
3
4
5
6
P(x)
0.14
0.16
0.12
0.14
0.13
0.31
A. = 3.5
OB. u = 3.8
O C. 1 = 0.2
OD. u = 3.9
Answer:
Mean = 3.9
Step-by-step explanation:
Given
The above table
Required
Determine the mean
The mean is calculated as thus:
Mean = Summation of x * P(x)
So, we have:
Mean = 1 * 0.14 + 2 * 0.16 + 3 * 0.12 + 4 * 0.14 + 5 * 0.13 + 6 * 0.31
Mean = 0.14 + 0.32 + 0.36 + 0.56 + 0.65 + 1.86
Mean = 3.89
Mean = 3.9 (approximated)
The mean should be 3.9.
Calculation of the mean;Here the following formula should be used:
Mean = Summation of x * P(x)
So,
Mean = 1 * 0.14 + 2 * 0.16 + 3 * 0.12 + 4 * 0.14 + 5 * 0.13 + 6 * 0.31
= 0.14 + 0.32 + 0.36 + 0.56 + 0.65 + 1.86
= 3.89
= 3.9
Therefore, we can conclude that The mean should be 3.9.
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Caleb earns $2 for each package delivery he makes in addition to $65 per day. He wants to earn more than $87 each day. Use the inequality 2+65≥87 to determine how many packages, p, Caleb must deliver each day. are made of living cells?
Answer:
Caleb must deliver at least 11 packages a day
P=11
If necessary, combine like terms. (5x+1)(5x-1)
Answer:2 5x^2-1
Step-by-step explanation:
There are (26)3⋅ 20 bacteria in a sample. What is the total number of bacteria in the sample? (1 point)
Answer: If we multiply then I guess it’s 26*3=78 and 78*20=1,560
Step-by-step explanation:
How many quarts does a 100 liter tank hold?
Answer: 84.535 Quartas.
Step-by-step explanation:
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
1.When x = 3, both expressions have a value of 30.
2.When x = 5, both expressions have a value of 42.
3.When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
4.When x = 2, both expressions have a value of 15, and when x = 6, both expressions 5.have a value of 39.
Answer:
2
Step-by-step explanation:
I think
Quadrilateral GHJK has vertices G(2, 3), H(8, 2), J(6, 8), and K(3, 6). It is transformed according to the rule T(–4, –5).
What are the coordinates of G”?
(–7, 3)
(–2, 2)
(–1, –7)
(2, –2)
Answer:
the transformation T(a, b) can be change the pre image to the final image by following the rule as we explain below
if A(x, y) is a pre image, then A ' ( x', y') is its image, and x' = a+x, y' = b + y, where because of T(a, b) transformation
in our case Quadrilateral GHJK has vertices G(2, 3), so the coordinates of G”
can be found with
T(-4, -5) applied to G(2, 3) ⇒ G' (-4 +2, -5+3)=G' (-2, -2)
T(-4, -5) applied to G' (-2, -2) ⇒ G"(-4-2, -5-2) =G"(-6, -7)
the coordinates of G” are (-6, -7)
Step-by-step explanation:
i hope it helps?Answer:
its c on edg (-1, -7)
Step-by-step explanation:
2/15 = h/125 need a step by step please
====================================
Work Shown:
2/15 = h/125
2*125 = 15*h .... cross multiply
250 = 15h
15h = 250
h = 250/15
h = (5*50)/(5*3)
h = 50/3
-----------------
Extra info:
50/3 = (48+2)/3
50/3 = (48/3)+(2/3)
50/3 = 16 + (2/3)
50/3 = 16 & 2/3
The improper fraction 50/3 converts to the mixed number 16 & 2/3
Another way to see this is to use long division to get 50/3 = 16 remainder 2.
Helppppppp lol idk what I’m doing
Answer:
C
Step-by-step explanation:
Step 1: Translate word to math
"Five" = 5
"times" means multiplication
"a number" = n
"plus" means addition
"3" = 3
"is" means equal
"12" = 12
Step 2: Set up equation (combine)
5n + 3 = 12
Answer:
C
Step-by-step explanation:
a number represents n
is represents =
times represents multiplication
plus represents addition
5 times n plus 3 is 12
so this means
5n+3=12
А At a concessan stand l hot dog and one hamburger cost $4.One hotdog and
5
Hamburgers cost $13
Find the cost of one hot dog and the cost of one hamburger ?
Answer:
2.25
Step-by-step explanation:
let x be cost of a hotdog
let y be cost of hamburger
so,
5x + 4y = 17.75 eq. 1
4x + 5y = 18.25 eq. 2
manipulate eq. 1 so solve for x:
5x = 17.75 - 4y
x = 17.75/5 - (4/5)y
x = 3.55 - (4/5)y eq. 3
substitute eq. 3 to eq. 2:
4(3.55 - (4/5)y) + 5y = 18.25
14.2 - (16/5)y + 5y = 18.25
14.2 + (9/5)y = 18.25
(9/5)y = 18.25 - 14.2
4.05= (9/5)y
y = 2.25
x = 3.55 - (4/5)(2.25)
x = 1.75
hotdog costs $1.75
hamburger costs $2.25
63.9 x 7.0
Help plz
Answer:
447.3
Step-by-step explanation:
Answer:
447.3
Step-by-step explanation:
63.9
x 7.0
_____
447.3
Help me three questions please really easy I promise answer
Answer:
1.y=-2x+7
2. no
3.yes
Step-by-step explanation:
Oct 16, 12:30:47 PM
Wyatt has 6 cups of yogurt to make smoothies. Each smoothie uses cup of yogurt.
What is the maximum number of whole smoothies Wyatt can make with the yogurt?
¾ divid ⅖=n
Pleas answer i need a answer
PLEASE HELP
What is (-i)^5
Answer:
-i
Step-by-step explanation:
hope this helps my fellow friend.
Answer:
D) i
Step-by-step explanation:
What is the asymptote of the function g(x) = 5.2 3x + 4 shown on the graph?
Y=0
Y=3
Y=4
Y=5
Answer:
Y=4
Step-by-step explanation:
Answer:
Y=4
Step-by-step explanation:
Eight more than.twice an number is four less than the same number
Answer:
2x+8=x-4
Step-by-step explanation:
I think that's right, let me know if it's wrong and I'll delete