Answer:
Step-by-step explanation:
Umm idk-
Let z = 19 + i and w = 4 + 10i.
What is the first step in determining zw?
Replace i2 with –1.
Multiply z by the conjugate of w.
Apply the distributive property or FOIL.
Combine the corresponding real and imaginary parts.
EDGE
In the first step apply the distributive property or FOIL to find zw. Option C is correct.
Given that,
Let z = 19 + i and w = 4 + 10i.
The first step is to be determined.
The number that constitute of real and imaginary numbers are called a complex numbers. Complex number is represents as z = a + ib, where a = real number and bi = imaginary number
z = 19 + i and w = 4 + 10i
in order to find the product of complex numbers z and w following are the steps,
z.w = ( 19 + i )( 4 + 10i )
Step ⇒ 1
Applying distributive law,
z.w = 19 * ( 4 + 10i ) + i * ( 4 + 10i )
Step ⇒ 2
opening the parenthesis,
z.w = 19 * 4 + 19*10i + i * 4 + i * 10i
similarly, further steps are
z.w = 76 + 190i +4i + 10i²
since i² = -1
z.w = 76 + 194i - 10
z.w = 66 + 194i
Thus, in the first step apply the distributive property or FOIL to find zw. Option C is correct.
Learn more about complex numbers here: https://brainly.com/question/28007020
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Answer:
C
Step-by-step explanation:
Apply the distributive property of FOIL
The following system of equations is given below:
\large -5x+y=-18
\large -10x-5y=20
Which of the following steps is not suitable to solve this system by elimination?
a. Multiply the first equation by 2 and then subtract the equations from each other.
b. Multiply the first equation by -5 and then add the equations together.
Selected:c. Multiply the first equation by 5 and then add the equations together.This answer is incorrect.
d. Multiply the first equation by -2 and then add the equations together.
Answer:
both b and c are correct options
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Score: 0 of 2 pts
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HW Score: 20.83%, 5 of 24 p
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Question Help
As part of a research project, the blood pressures of 2000 patients in a hospital are recorded. The systolic blood pressures (given in millimeters) have
an approximately normal distribution with mean y = 122 and standard deviation o = 15. Use the 68-95-99.7 rule to complete the following.
(a) Estimate the number of patients whose blood pressure was between 92 and 167 millimeters.
(b) Estimate the number of patients whose blood pressure was between 92 and 137 millimeters.
c) The first five terms of a sequence are shown below; 13, 9, 5, 1, -3 . Find the nth term of this sequence
Answer:
-7
Step-by-step explanation:
because they are going down by 4. So just subtract 4.
Evaluate this expression:
(5+5)-(5+5)
Answer:
0
Step-by-step explanation:
=(5+5)-(5+5) <-- Do what's inside the parenthesis first
=10 - 10 <-- Subtract
=0
Question 3: On a recent math quiz, 20 of the 32 students who took the
quiz used a pen and the rest used a pencil. Which of the following is the
ratio of the students who used a pen to those who used a pencil? *
5 to 3
5 to 8
8 to 5
O 13 to 8
Answer:
5 to 8
Step-by-step explanation:
bc u divide the numerator and denominator by 4
are there instances that rational algebraic equation can be transformed into quadratic equation
Answer:
yeah
Step-by-step explanation:
hmm
Answer:
yes you can
Step-by-step explanation:
for example you have a second order algebraic equation, which have the general form ax^2 + bx + c = 0, for any constants a, b, and c, you can use the quadratic equation to find the values of x. However, sometimes it is easier to simply factor the expression into (fx+g)(hx+i) = 0, for any constants f, g, h, and i, and then solve the two resulting equations fx+g = 0 and hx+i=0 for the values of x.
i hope this helps
2. Select the solution for the system of linear equations y = 3x + 4 and y = x + 2.
A. (-1,1)
B. (1,-1
C. (-1,-1)
D. (1,1)
Which expression is
equivalent to 25x + 12 ?
Answer:
Step-by-step explanation:
What are the choices?
ANSWER ASAP GIVING BRAINLIEST!
A chemical reaction in a light stick causes it to give off a glowing green light. Explain why the reaction is endothermic or exothermic.
Answer:
The chemical reaction is due to chemical change in the chemicals within the light stick so it shows off color.
Step-by-step explanation:
The chemicals in the light stick interact with each other. This cause them to come together and give off a color of light.
Subtract 8 from me. Then add 21. If you divide me by 4 and add 21 you get 29. What number am I?
Answer:
19
Step-by-step explanation:
x - 8 + 21 ÷ 4 + 21 = 29
x - 8 + 21 ÷ 4 = 29 - 21
= 8
x - 8 + 21 = 8 x 4
= 32
x - 8 = 32 - 21
= 11
x = 11 + 8
= 19
Therefore the number is 19. A bit confusing to me at first but I solved it :)
The sum of three times a number (2) and -23 is 28.
Answer:
x = 17
Step-by-step explanation:
3x + -23 = 28
3x - 23 = 28
3x = 28 + 23
3x = 51
x = 51/3
x = 17
g One card is selected randomly from a standard 52-card deck. a. What is the probability of drawing a
Answer:
Probability [Getting a red card] = 1/2
Step-by-step explanation:
Given:
Total number of cards = 52
Find:
Probability [Getting a red card]
Computation:
Total number of red cards = 26
Probability [Getting a red card] = 26/52
Probability [Getting a red card] = 1/2
laura spent 2/5 of her money now she has $18 left how much money did she have origanily
Answer:
Money Laura had originally = $30
Step-by-step explanation:
Let the money Laura had = x
Money spent = 2/5 of x = [tex]\frac{2}{5}x[/tex]
Remaining money = $ 18
[tex]x - \frac{2}{5}x = 18\\\\\frac{x*5}{1*5}-\frac{2}{5}x = 18\\\\\frac{5x}{5} - \frac{2x}{5} = 18\\\\\frac{3x}{5}=18\\\\ 3x = 18*5\\\\3x = 90\\\\x = \frac{90}{3}\\\\x = 30[/tex]
Money Laura had originally = $30
Some one please answer
Answer:
A and D
Step-by-step explanation:
0.45 - 0.23 = 0.22
0.45(8) = 3.60
50 POINTS!!!!Perpendicular Bisectors meet at the Circumcenter. What is the measure of BD?
20
15
25
24
Answer:20 degrees
Step-by-step explanation:
Here is a list of numbers 15 6 8 7 12 1 5 8 4 3 state the median
Answer:
The median is 6.5
I need help trying to find any fractions that are not in simplest form. (there should be a screenshot below. I dont know the hidden word that is supposed to go in the box... Reply if you understand..
Answer:
Denominator is the hidden word.
Step-by-step explanation:
8/18, 9/27, 42/48, 21/70, 14/35, 8/30, 15/39, 18/100, 8/64, 70/98, and 63/81 are all not in simplest form. Their letters (ENAMNIODOTR) unscramble to "denominator."
HELP 50 POINTS
Could I get like an explanation so I know how to do this since its 50 points?
Answer: #2
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter
engine.
32.7, 35.7, 38.0, 38.7, 40.1, 42.3, 34.3, 36.2, 38.1, 39.0, 40.6, 42.9, 34.5, 37.4, 38.3, 39.4, 41.4, 43.4, 35.3, 37.6, 38.5, 39.7, 41.7, 48.9
(a) Compute the z-score corresponding to the individual who obtained 38.1 miles per gallon. Interpret this result.
The z-score corresponding to the individual is __ and indicated the date value is __ standard decoration(s) __(below/above) the __(mean/median)
(b) Determine the quartiles.
(c) Compute and interpret the interquartile range, IQR.
(d) Determine the lower and upper fences. Are there any outliers?
Answer:
A) Z = -0.24
We can interpret this as the z-score corresponding to the individual who obtained 38. 1 miles per gallon is -0.24.
B) Q1 = 36.8 and Q3 = 41
C)IQR = 4.2
This means that the distance between the first and third quartile is 4.2
D) LF = 30.5 and UF = 47.3
the only outlier is 48.9 which is more than UF
Step-by-step explanation:
We are given the data representing the miles per gallon of a random sample of cars with a three-cylinder as;
32.7, 35.7, 38.0, 38.7, 40.1, 42.3, 34.3, 36.2, 38.1, 39.0, 40.6, 42.9, 34.5, 37.4, 38.3, 39.4, 41.4, 43.4, 35.3, 37.6, 38.5, 39.7, 41.7, 48.9
Sum of data is;
ΣX = 32.7 + 35.7 + 38.0 + 38.7 + 40.1 + 42.3 + 34.3 + 36.2 + 38.1 + 39.0 + 40.6 + 42.9 + 34.5 + 37.4 + 38.3 + 39.4 + 41.4 + 43.4 + 35.3 + 37.6 + 38.5 + 39.7 + 41.7 + 48.9 = 934.7
Formula for mean is;
μ = ΣX/n
μ = 934.7/24
μ = 38.95
Formula for sample standard deviation of is;
s = √[(1/(n - 1))Σ(X - μ)²]
From online calculator, we have a value of;
s = 3.505
A) Formula for z-score is;
Z = (x - μ)/s
We are given x = 38.1
Thus;
Z = (38.1 - 38.95)/3.505
Z = -0.24
We can interpret this as the z-score corresponding to the individual who obtained 38. 1 miles per gallon is -0.24.
B) Arranging the set of given values in ascending order, we have;
32.7, 34.3, 34.5, 35.3, 35.7, 36.2, 37.4, 37.6, 38.0, 38.1, 38.3, 38.5, 38.7, 39.0, 39.4, 39.7, 40.1, 40.6, 41.4, 41.7, 42.3, 42.9, 43.4, 48.9
Number of data; n = 24
First quartile is;
Q1 = ((n + 1)/4)th = ((24 + 1)/4)th = 25/4 = 6.25th term
Thus, we will find the average of the 6th and 7th term;
Q1 = (36.2 + 37.4)/2
Q1 = 36.8
Similarly;
Q3 = ¾(n + 1)th = ¾(24 + 1)
Q3 = ¾ × 25 = 18.75th term
Thus, we will find the average of the 18th and 19th term.
Q3 = (40.6 + 41.4)/2
Q3 = 41
C) Formula for inter quartile range is;
IQR = Q3 - Q1
IQR = 41 - 36.8
IQR = 4.2
This means that the distance between the first and third quartile is 4.2
D) Formula for lower fence is;
LF = Q1 - (1.5 × IQR)
LF = 36.8 - (1.5 × 4.2)
LF = 30.5
Formula for upper fence is;
UF = Q3 + (1.5 × IQR)
UF = 41 + (1.5 × 4.2)
UF = 47.3
Now, an outlier will be any values in the given set less than LF or more than UF.
From the given set, the only outlier is 48.9 which is more than UF
The sum of two numbers is 47. The greater number is 9 more than the smaller number. Which equation can be used to solve for the smaller number? x + (x + 9) = 47 x − (x + 9) = 47 x(x + 9) = 47 x(x − 9) = 47
I believe the correct answer from the choices listed above is the first option. The equation that can be used to solve the problem would be x + (x + 9) = 47.
The sum of two numbers is 47. ---> x + y = 47 where x is the smaller number and y is the larger.
The greater number is 9 more than the smaller number. -----> y = x + 9
x + ( x + 9 ) = 47
Answer:
x + (x + 9) = 47
Step-by-step explanation:
This equation can be used to solve for
This equation can be used to solve forthe smaller number.
Write the slope intercept form of the equation. PLEASE HELP
Answer:
8. D
10. D
12. B
if the lines are parallel, then the slopes are the same. if it's a perpendicular line then the slope is the opposite reciprocal.
1. un numar se mareste cu 4 iar rezultatul se mareste de 4 ori. noul rezultat micsorat cu 4 se imparte la 4 si se obtine 4.aflati numarul
Răspuns:
1
Explicație pas cu pas:
Fie numărul = x
x + 4 = e - - (1)
e * 4 = f - - - (2)
Ecuația 2 - 4 împărțită la 4 = 4
(f - 4) / 4 = 4
Crucea se înmulțește
f - 4 = 16
f = 16 + 4
f = 20
Rezultatul 1 împărțit la 4 este egal cu 4
Prin urmare,
e = f / 4
f = 20
e = 20/4
e = 5
De la (1)
x + 4 = e
x + 4 = 5
x = 5 - 4
x = 1
Answer:
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]e(x) = -x + -6
Find e(-2)
Answer:
I'm pretty sure it's -4
Step-by-step explanation:
If you substitute in -2, you get e(-2)= -(-2)+ -6
which is equal to 2-6
2-6=-4
Answer:
e(-2)=-4
Step-by-step explanation:
e(-2)=-(-2)+-6
=2-6
=-4
89,235 written in expanded form? (2 points)
a
8 x 10,000 + 9 x 1,000 + 2 x 100 + 3 x 10 + 5 x 1
b
8 x 10,000 + 9 x 1,000 + 2 x 100 + 3 x 10 + 5 x 5
c
8 x 100,000 + 9 x 10,000 + 2 x 1,000 + 3 x 100 + 5 x 10
d
8 x 80,000 + 9 x 9,000 + 2 x 200 + 3 x 30 + 5 x 5
HELP ME PLEASE I NEED HELP I WILL GIVE BRAINLIST
Answer:
The second choice. About 1 cup.
Step-by-step explanation:
1/8 + 4/5 = 37/40
Thats around 1 full cup.
Answer:
♥B♥ about 1 cup!
Im pretty sure!
♥ お力になれて、嬉しいです！♥
In order to make a necklace, Alicia purchased a bag of 80 beads for a total of $39. Some of the beads were sterling silver and cost $.40 each, and the rest were gemstone beads that cost $.65 each. How many of each type of bead were in the bag? Please show your work!
Answer:
20 in each bag
Step-by-step explanation:
Please answer. Have to find what numbers make that equation true
Answer:
(x+8y)(x-8y)
Step-by-step explanation:
8 squared is 64 and so is y for y^2.
One positive and a negative turns into a negative, so that's why it's only one.
(X+y)^16 what is the answer
Use the Binomial Theorem to expand.
what does 900+900+900=
Answer:
2,700
Step-by-step explanation:
thx for da points tee hee
Answer:
2700
Step-by-step explanation: