Answer:
(c) 24 (d) 2 -4 (e) 22 2 1.25 0
Step-by-step explanation:
Problem 1.1 (10 Points) Let 21 2j, and 23 j. Find the value of each of the following 3 4j, 22 expressions and give your answers in rectangular form z t jy. (a) 132122 (b) 321 421 (c) (21)3 (Note that superscript denotes conjugation.) 222 21 (d) 22 (e) 2223 Problem 1.2 (10 Points) (a) Find real numbers r and y such that 5z -3y j(5y z) 4. (b) Show that any complex number z can also be expressed as z e 2"* k 0, 1,2, 3. Problem 1.3 (10 Points) Express each of the following complex numbers in polar form. a) 2 2V3 (c) 1 j j2 7 4j (d) 3-2j (e) Problem 1.4 (10 Points) Use the results from Problem 1.2 (b) above to find all roots of the following complex numbers and plot your results in the complex plane. (a) 1 (Hint: there are 5 different answers and one is 2 (b) 23 (1 -j) (Hint: there are 3 different answers. (c) 24 (d) 2 -4 (e) 22 2 1.25 0
Bella needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the area of the two triangles that need to be painted?
Dimensions:
Triangle 1: 6 by 2
Triangle 2 5 by 9
Answer:
It would be 28.5. First, you would find the area of the smaller triangle by using the formula a=.5bh (area=.5xbasexheight) and then when you get that, you should get 6. Then, you do the same for the larger triangle and you should get 22.5. Then, 22.5 + 6 = 28.5, giving you that answer.
Step-by-step explanation:
F(x)=1/2x+4 and g(x)=−8f(x). What equation shows the correct rule for the function g? A. g(x)=−8x−32. B. g(x)=−4x+4. C. g(x)=−4x−32
Answer:
f(x)=1/2x+4.
Step-by-step explanation:
The Mountain Spring Water Company is moving their backup supply of drinking water to a different site. Each tank weighs according the table shown here. Determine if the function is linear or not.
both
neither
linear
nonlinear
Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?
On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30.
Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q
Answer:
Point R is at (−40, −10), a distance of 20 units from point Q
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
(-40,30)
CAN SOMEONE PLEASE HELP ME PLEASE
Answer:
x = 5
Step-by-step explanation:
I already explained and solved it on the other question. Here is the link to my explanation of how it's 5. https://brainly.com/question/20451937
If f(x) = -6x + 1, what is f(1/2x-1) equal to
By substituting [tex]x = \(\frac{1}{2}x-1\)[/tex] , the given function f(x) = -6x + 1 can be simplified to [tex]f(x) = \(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
To find [tex]\(f(\frac{1}{2}x-1)\)[/tex], substitute [tex]\(\frac{1}{2}x-1\)[/tex] into the function f(x):
[tex]\(f(\frac{1}{2}x-1) = -6(\frac{1}{2}x-1) + 1\)[/tex]
Now, simplify the expression:
[tex]\(f(\frac{1}{2}x-1) = -3x + 6 + 1\)\\\\\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex]
So, [tex]\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
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If the area of a rectangular park is 350sq. m and its length is 70m, form the algebraic expression to find its breadth
With full solution
Answer:
350 m² = 70 m × breadth
Step-by-step explanation:
This will be 5m = breadth
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Answer: the triangles are congruent
Step-by-step explanation: if u add up all the angles u get 180 so all angles are congruent
y = -3x + 3
-3x - y = -6
Answer:
let it be equation 1 and 2
Step-by-step explanation:
-3x -(-3x+3) =-6
-3x +3x -3= -6
0x = -3
x = 0
y = -3(0) +3
y = 3
What is an equation of the line that passes through the points (3, 0) and (6, -1)
Answer:
(Note: This is assuming that the answer can be in any format.)
[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]
Step-by-step explanation:
When given at least two points, you can find write an equation using the point-slope formula: [tex]y - y_1 = m (x - x_1)[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values from one point that need to be substituted in to make an equation, as well as the [tex]m[/tex] which represents the slope.
Find the slope by using the slope formula [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] and the two points given:
[tex]\frac{-1-0}{6-3}[/tex]
[tex]\frac{-1}{3}[/tex]
So, the slope is [tex]-\frac{1}{3}[/tex].
Next, choose a point (in this case, I chose (3,0)) and substitute its x and y values into [tex]x_1[/tex] and [tex]y_1[/tex] respectively, and also substitute [tex]-\frac{1}{3}[/tex] for m. This forms an equation of a line in point-slope formula:
[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]
Blue Street passes through the points (-2,6) and (3,-4) find the slope using the slope formula and then find the equation of the line using any method. Show your work.
Answer:
Christianity
May god Bless you
Step-by-step explanation:
Last week, Laura volunteered at the community clean-up event and earned 2 patches for her scout uniform. She spent 4 minutes sewing the patches onto her uniform. This week, Laura spent the week at the scout camp and earned another 6 patches.
If Laura sews at the same rate, how many minutes will she spend sewing her new patches onto her uniform?
Answer:
12
Step-by-step explanation:
let's say number of patches is x, and amount of time is y. the time per patch is k.
k * x = y
2 * k = 4
k = 2
2 * x = y
2 * 6 = 12
Find the percent increase from 15 to 18
Answer:
The percentage increase would be 20%
Step-by-step explanation:
worked it out
The percent increase from 15 to 18 is 20%.
To find the percent increase from 15 to 18, we can use the following formula Subtract the initial value from the final value, then divide the result by the absolute value of the initial value.
Percent Increase = (New Value - Old Value) / Old Value * 100
Using this formula, let's calculate the percent increase:
Percent Increase = (18 - 15) / 15 * 100
Percent Increase = 3 / 15 * 100
Percent Increase = 0.2 * 100
Percent Increase = 20
Therefore, the percent increase from 15 to 18 is 20%.
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ABCD is a quadrilateral with AB equal and parallel to DC. prove that AD is equal and parallel to BC
Answer: see below proof
Step-by-step explanation:
Imagine a diagonal line AC
If AB = DC and AB // DC then angle BAC =
Angle ACD Alternate Interior angles theorem.
Then if AB = AD and angle BAC = angle ACD and AC = AC then triangle ABC is congruent to triangle CDA.
If triangle ABC is congruent to triangle CDA then AD = BC because congruent parts of congruent triangles are congruent.
If triangle ABC is congruent to triangle CDA then angle ACB = angle CAD because congruent parts of congruent triangles are congruent.
If angle ACB = angle CAD then AD // BC because of the alternate interior angles theorem.
find slope of the line that passes through the two points (3,11) and (9,16)
Answer:
5 over 6
Step-by-step explanation:
y2-y1 over x2-x1 is the equation you need. Y2 in this case is 16, Y1 is 11 and X2 is 9 and X1 is 3 so then you just plug it is. 16 - 11 is 5 and 9 - 3 is 6
Mr. Cohen used 25 kilograms of fertilizer on his lawn. The fertilizer contained 4 kilograms of nitrogen. What percent of the nitrogen was in the fertilizer that Mr. Cohen used?
Answer:
The answer to this question is the percentage of the nitrogen is 17%
A sales person makes $200 each week plus an additional $24 per sale. This sales person wants their weekly paycheck to be at least $500.Which inequality could be used to solve for how many sales () the sales person will have to make to reach or exceed their goal?
I need help asap I’m confused
Which graph shows a proportional relationship between the number of hours of renting a camping tent and the total amounts back to work for camping tent?
Answer: Graph 2
Step-by-step explanation:
2h+y/9h^2-y^2 - 4h^2/3h+y what is the least common denominator in this expression
Answer: It is 9
Step-by-step explanation:
A selfie ring light is originally priced at $55 is marked down 25%. What is the sale price?
Answer:
41.25
Step-by-step explanation:25% of 55 is 13.75
When are two lines perpendicular?
A. when the slopes are opposites
B. when the slopes are reciprocal
C. when the slopes are negative
D. when the slopes are opposite and reciprocal
Answer: C I think
Step-by-step explanation:
Item 1
One February day, the low temperature in St. Paul, MN was -17°F. Over a period of three hours, the temperature rose 5 °F per hour. After three hours, what was the temperature?
°F
A researcher is interested in consumer preferences among three brands of yogurt. A sample of 90 people is obtained,
and each individual is asked to taste each brand and then select his/her favorite. The resulting frequency data are as
follows:
Brand A
Brand B Brand C
37
21
32
Do the data indicate any significant preferences among the three brands? Test at the .05 level of significance.
State the null hypothesis (1 point), the expected frequency for each category (3 points), the value of chi-
square (4 points), the df (1 points), the critical value of chi-square (2 points), and the decision regarding
significance (1 points).
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis: all three brands are equally likely to their expected value
The alternative hypothesis: preferences exist among the three brands i.e. at least one is different from the expected value.
The expected frequency = [tex]f_e[/tex]
The observed frequency = [tex]f_o[/tex]
[tex]f_e[/tex] [tex]f_o[/tex] [tex](f_o- f_e)^2[/tex] [tex]\dfrac{(f_o - f_e)^2}{f_e}[/tex]
37 30 49.00 1.633
21 30 81.00 2.700
32 30 4.00 0.133
[tex]X^2 = \sum\dfrac{(f_o-f_e)^2}{f_e} = 4.47[/tex]
Degree of freedom = [tex](n-1)[/tex]
= 3 -1
= 2
At ∝ = 0.05 and df = 2
The critical value [tex]X^2_{0.05, 2}= 5.99[/tex]
Decision rule:
Since the calculated chi-square is less than the critical value, we do not reject the null hypothesis.
Thus, the null is retained with a calculated chi-square value of 4.47 and a critical chi-square value of 5.99.
Is it the 1st one. I’m not to sure.
Answer:
Yes, it's the first one
Step-by-step explanation:
Since the number line is from 0 to 1 and it's divided into 6 sections, the correct answer is 1
PLEASE HELP What is the x value. (Remember to round to the nearest tenth.)
Answer:
the answer might be 71.9
Step-by-step explanation:
add 12.8 and 5.3 =18.1 then
90-18.1=71 9
what is 5 quarts converted to liters
Answer:
1 quart = 0.95 liters. with this said, we can conclude that 5 quarts equals 4.73 liters
Answer:
4.73176
Step-by-step explanation:
okay so this is the exact decimal but you can just write you answer as 4.73
hope this helps
5.5.19
Factor out the greatest common factor from the following polynomial.
6x(z + 14)+(z + 14)
Select the correct choice below and, if necessary, fill in the answer box to complete your cho
6x(z + 14)+(z+14) = _______ Type your answer in factored form.)
The polynomial has no common factor other than 1.
Answer:
The greatest common factor of 6x(z + 14)+(z + 14) is 1
and if you want it in factored form it is (z + 14)(6x + 1)
Adela, Tony, Pang, and Ruben are all in 6th grade. Their average age is 11 years old. The list shows the difference from average for each.
Age Difference
Adela: 0.75 year
Tony: 11
10
years
Pang: –0.8 year
Ruben: -1
2
year
Which lists shows the values of the differences ordered from least to greatest?
Adela, Tony, Pang, Ruben
❌Adela, Pang, Ruben, Tony
Pang, Ruben, Adela, Tony
Tony, Adela, Ruben, Pang
Answer:
Pang, Ruben, Adela, Tony
Step-by-step explanation:
So the Answer would be c. I hope this helped and have a good day.
Answer:
c
Step-by-step explanation:
Solve 3b – 8 + 6 = 2(b + 6)
Answer:
b=14
Step-by-step explanation:
3b-2=2b+12
b-2=12
b=14