Answer:
11 +6i
Step-by-step explanation:
(3+4i)+(8+2i)
Add the real portions
3+8 = 11
Add the imaginary portions
4i+2i = 6i
The complex number in a+bi form is
11 +6i
Answer:
[tex] = 11 + 6i[/tex]
Step-by-step explanation:
[tex](3 + 4i) + (8 + 2i) \\ 3 + 4i + 8 + 2i \\ = 11 + 6i[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which expression is shown using the model below?
Answer:
C
Step-by-step explanation:
Hopefully
C
I did it on edge hopefully this helps you and don't think i copied the other person
Which of the following describes the growth rate of the exponential function in the graph below?
For each x increase of 1, they increases by a common difference of 3.
For each x increase of 1, the y increases by a common factor of 3.
For each x increase of 1, the y increases by 4 more than the previous increase.
For each x increase of 1, they increases by doubling and then adding 1.
Answer:
For each x increase of 1, the y increases by a common factor of 3. (second answer listed)
Step-by-step explanation:
Notice that you have not provided the graph that the problem involves, but from the description of what the y behavior is when x increases by one, one can deduct if an exponential pattern applies.
Out of the four examples given, only one of them represents an exponential growth. Such type of growth has to include a common multiplicative factor (the base of the exponent), since the function has to be of the form:
[tex]f(x)=a\,\,b^x[/tex]
to be called exponential.
So every time that x increases by one unit, the following happens:
[tex]f(x+1)=a\,\,b^{(x+1)}\\f(x+1)= a\,\,b^x\,\,b[/tex]
So notice that the original function ends up being just multiplied by the common factor "b".
The other options don't describe such behavior.
Answer:
For each x increase of 1, the y increases by a common factor of 3.
Step-by-step explanation: hope it helps ^w^
A hummingbird’s nest is 6 meters high in a tree. A flower is on the ground 14 meters away from the base of the tree. How far will the hummingbird need to fly to get from its nest to the flower if it takes a direct path?
Answer:
15.23 m
Step-by-step explanation:
The problem given describes the shape of a right angled triangle.
From the diagram below:
The height of the tree is the opposite = 6 m
The distance of the flower from the base of the tree = adjacent = 14 m
The distance the bird must fly to get from the nest to the flower = hypotenuse = h
According to Pythagoras rule:
[tex]hyp^2 = opp^2 + adj^2[/tex]
Therefore:
[tex]h^2 = 6^2 + 14^2\\\\h^2 = 36 + 196\\\\h^2 = 232\\\\h = \sqrt{232} \\\\h = 15.23 m[/tex]
The bird will have to fly 15.23 m to get from its nest to the flower in a direct path.
37 POINTS pls help time limit 13 minute left...
Answer:
first 3
Step-by-step explanation:
Answer:
A B C and D are all true not the last one!
Step-by-step explanation:
An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?
Answer:
$713.8
Step-by-step explanation:
14%of 860 = 120.4
3% of 860 = 25.8
so, subtract the sum of the above 2 values from 860.
860 - (120.4+25.8) = 860-146.2 = 713.8
Hope this helps
Answer:
$713.008
Step-by-step explanation:
n over 24 = 15 over 18?
Answer:
n = 20
Step-by-step explanation:
cross multiply and divide
18n = 360
n = 20
If you want to increase the length of the side of a square by 30%, what fraction can be used as the
multiplier to find the length of the new side?
The fraction (13/10) can be used as the multiplier to find the length of the new side.
Suppose the length of the side of a square is x.
The new length of the side of the square after an increment of 30%
= x+ (30% of x).
What is the percentage?The percentage is the value per hundred.
So, 30% of x = 30*x/100 =0.3x
So, new length of the side = x+0.3x =1.3x
We can represent 1.3x as (13/10)x
This means we have multiplied the previous length by the fraction 13/10 in order to get an increment of 30%.
Thus, The fraction (13/10) can be used as the multiplier to find the length of the new side.
To get more about the percentage visit:
https://brainly.com/question/24304697
What is the value of x?
57+3x+6=90degree
60+3x=90
3x=90-60
3x=30
x=30/3
x=10
Answer:
[tex] \boxed{x \degree = 9 \degree} [/tex]
Step-by-step explanation:
[tex] = > 90\degree + 57\degree + (3x + 6)\degree = 180\degree \\ \\ = > 57\degree + (3x + 6)\degree = 180\degree - 90\degree \\ \\ = > 57\degree + (3x + 6)\degree = 90\degree [/tex]
Two Angles are Complementary when they add up to 90° (a Right Angle).
[tex] = > 57 \degree + (3x + 6) \degree = 90 \degree \\ \\ = > 57 \degree + 3x \degree + 6 \degree = 90 \degree \\ \\ = > 63 \degree + 3x \degree = 90 \degree \\ \\ = > 3x \degree = 90 \degree - 63 \degree \\ \\ = > 3x \degree = 27 \degree \\ \\ = > x\degree = \frac{27}{3}\degree \\ \\ = > x\degree = 9\degree[/tex]
Question
At a grocery store, bulk almonds sell for $3.80 per pound. The cost, y, in dollars, of x pounds of almonds is shown in the
table.
x (pounds)
y ($)
1.90
0.5
1
3.80
Hola
1.5
5.70
2
7.60
Select the correct answer from each drop-down menu.
The relation described in the table is
The domain of the relation is
The range of the relation is
Submit
INTL
Answer:
The domain is {0.5, 1, 1.5, 2}
The range is {1.9, 3.8, 5.7, 7.6}
Step-by-step explanation:
The cost, y is in dollars, and x in pounds of almonds is shown in the table.
x (pounds) y ($)
0.5 1.9
1 3.80
1.5 5.70
2 7.60
The grocery store sells almond at $3.80 per pound, the relation between y and x is given by the function:
y = 3.8x
The x values are the independent variables and they serve as the input of the function while the y values are the dependent variables (dependent on x) and the serve as the output of the function.
The domain consist of input values which is the x values. The domain is {0.5, 1, 1.5, 2}
The range consists of all output values i.e the y values. The range is {1.9, 3.8, 5.7, 7.6}
Any number of pounds of almonds can be purchased, including partial amounts, so the relation described in the table is continuous.
Because x can be any positive number of pounds, the domain of the relation is x ≥ 0, or x-values greater than or equal to 0.
Because y can be any positive dollar amount, the range of the relation is y ≥ 0, or y-values greater than or equal to 0.
the weights of cars passing over a bridge have a mean of 3550 lb and a standard deviation of 870 pounds. Assume that the weights of cars passing over the bridge or never distributed. Use the empirical rule to estimate the probability that a randomly-selected car going over the bridge will weigh less than 940 lbs
Answer:
a. 0.15%
Step-by-step explanation:
The Z-score of 940 pounds is ...
(X -µ)/σ = (940 -3550)/870 = -3
The empirical rule tells you that 99.7% of the normal distribution lies within Z = ±3. Half of the remaining 0.3% lies below Z = -3, which is the set of weights of interest.
The probability that a car weighs less than 940 lbs is about 0.15%.
Identify the 9th term of the given geometric sequence. [/tex]1/3, −1/9, 1/27, −1/81, ....
HELP ASAP PLEASE!!!
Step-by-step explanation:
Before we find the ninth term, we need to find the common ratio. The common ratio in a geometric sequence is the number that every number after the first one is multiplied by. For example, in the sequence {2, 4, 8, 16, 32, ...}, the common ratio is 2.
Now, for our example, the numbers in the sequence alternate between negative and positive numbers. What does that tell us about the common ratio? Well, the common ratio has to be negative because the negative sign keeps alternating.
So we know the common ratio is negative. But what about the rest of the number? Well, we can see that the ratio has a 1 in the numerator because the numerator is the same throughout the sequence (aside from the alternating negative sign).
Now that we've narrowed down the possibilities to -1/x, let's figure out the denominator of the common ratio. The denominator changes from 3 to 9 to 27 to 81. Do you see a pattern there? Each denominator is 3 times the value of the previous denominator. The denominator of the common ratio, then, must be 3.
Ok. We have our common ratio, -1/3, but the question we still need to find the 9th term in the sequence. Well, we can write out the pattern until we get to the term we want. But what if you were trying to find the one hundredth or the one thousandth term? That would take a very long time to write out. Instead, we can take the first number in the sequence (1/3) and multiply it by the our common factor to the power of the remaining terms. As a formula, this looks like: [tex]a_{1} *f^{n-1} = a_{n}[/tex], where a is your first term, f is your common factor and n is the number of the term you are trying to find.
So, finally, we can solve the problem.
1/3 * (-1/3)⁸ = a₉
1/3 * 1/6561 = 1/19683
So the value of the ninth term of the given geometric sequence is 1/19683.
I hope you learned something and it wasn't too difficult to understand.
Answer:
^^ what he said xD
Step-by-step explanation:
It was snowing again and I smiled as I stared at the white flakes fluttering by my window. It was (capitalized the C)Christmas, and my day had been one of the best all year. First I (had removed) awakened in the morning to the sound of my brother (added the n to runing)running madly around the house, yelling that it was Christmas. Jumping out of bed, (capitalized the i that was there)I skipped happily down the stairs, with my brother at my heels, and made my way to the Christmas tree in the living room. My parents(apostrophe removed from between the t and s) groggily walked down the stairs to watch us open (up removed) our presents. My Mom sat down on the couch and dad plopped himself on the floor, grumbling something about coffee. I started opening my presents because, after all, its ladies first. Ripping open the wrapping paper, I stared down at my brand(removed dash)new pink boom box. It was beautiful!(question mark changed to exclamation) (capitalized e)Even more, it came with little, stick-on jewels to decorate the boom box. Mom and Dad finally got their coffee and we all took turns watching each other open presents. I got(get turned to got) many more presents that were absolutely amazing. (changed every one into one word)Everyone spends the rest of the day admiring their gifts and playing with their new toys. "I will remember this Christmas forever,"(added endnote) I thought. (capitalized s)Sighing contentedly, I finally turned away from the snow (removed the e from what was danceing)dancing outside the window and rejoined my family.
If x – 9 is a factor of x2 – 5x – 36, what is the other factor? x – 4 x 4 x – 6 x 6
Answer:
(x+4)
Step-by-step explanation:
Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)
Answer:
b (x+4)
Step-by-step explanation:
edge
Which linear inequality is represented by the graph
7
Eddie had lunch at 10 minutes to 1 in the afternoon.
Fatimah had lunch at 11 45 on the same day.
Who had lunch later? How much later?
Answer: Eddie had lunch later than Fatimah.
Step-by-step explanation: Eddie had lunch at 10 minutes to one, which is 12:50. Fatimah had lunch at 11:45. So if you subtract 11:45 from 12:50, you find that Eddie had lunch 1:05 later than Fatimah.
Answer:
Eddie had lunch later.
He had lunch 1 hour 5 minutes later
Step-by-step explanation:
Eddie had lunch 10 min before 1
which means at 12 50.
Fatimah had lunch at 11 45 . Earlier than Eddie.
Eddie had lunch after her.
and How much later?
11 45 to 12 45 is 1 hour.
12 45 plus 5 minute is 12 50.
so it is 1 hour 5 minute
find the value of x,
Answer:
for the first one they are opposite angles so they are the same degrees so x=15 I forget adjacent angles so idk the second one sorry
You have $6 and earn $0.50 for each cup of orange juice you sell. Write an equation in two variables that represent the total amount A (in dollars) you have after selling j cups of orange juice.
A=
Can you help me plz ASAP
Answer:
A = 0.50j + 6.......u r correct
he started with 6....and he is selling each cup (j) for 0.50
so lets say he sold 10 cups...u would sub in 10 for j
A = 0.50(10) + 6
A = 5 + 6
A = 11......and he would have $ 11
Suppose it costs you $100 to rent a jet ski, plus another $150 per hour
of use. Using the equation C = 150h + 100, where C represents the
total cost for the rental and h represents the number of hours you rent
the jet ski, identify the slope and y-intercept.
A body was found at midnight in a warehouse where the temperature was 55. The medical examiner found the temperature of the body to be 66. What was the approximate time of death?
Answer:
5 p.m.
Step-by-step explanation:
Newton's law of cooling-
[tex]T(t)=t_a+(t_0-t_a)e^{-kt}[/tex]
where,
[tex]t_0[/tex] = the initial temp. = 98.6 F (human body temp.)
k = 0.1947,
T(t) = 66 F,
[tex]t_a[/tex] = 55 F,
Putting the values,
[tex]\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h[/tex]
Therefore, the time of death was 7 hours before midnight i.e at 5 pm.
classify the number as rational or irrational 2√5
m2.24
Step-by-step explanation:
I did the math and got 2.236 and rounded it and got 2.24.
Please answer I need help no rush.
Answer:
12 divided by -6
Step-by-step explanation:
12÷(-6) (3) + (-2)
PEMDAS
P There are no operations inside the parentheses
E There are no exponents
MD Multiply and divide from left to right
12 divided by -6 is the first from left to right
1) Simplify 16x – 7y - 19x - 4y
Answer:
-3x-11y is the answer.
Answer: -3x-11y
Add them in groups
Which of the following is a quadratic function?
in photo..
Answer:
[tex]f(x)=-3x^2[/tex]
Step-by-step explanation:
A quadratic function is a function in which its degree (Highest power of the variable) is 2.
[tex]f(x)=-3x^2[/tex] is the function that has a degree of 2.
Find the size of the final unknown exterior angle in a polygon whose
other exterior angles are:
57° 68° 32°, 59° and 72º.
Answer:
72
Step-by-step explanation:
The sum of exterior angles is 360
360-57-68-32-59-72 =. 72
Write each as an algebraic expression
Answer:
4^3
11>6
y>2
13-x
Step-by-step explanation:
4 is to the third power
11 is greater than 6 which means u use this sign >
y is greater than 2
13 subtract x
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
359, 352, 345, ...
Find the 44th term.
Answer:
Submit Answer
attempt out of 2
(DELTAMATH VERSION)
Answer:
[tex]58[/tex]
Step-by-step explanation:
[tex]-7n+366[/tex]
[tex]-7(44)+366[/tex]
[tex]-308+366[/tex]
[tex]=58[/tex]
Probability Race game
Read the whole thing. Question 2 will be posted separately to make the question simple.
Question 1:
Why should you not play this game with Roland? Use probability to prove that
the game is unfair and Roland is likely to win. SHOW ALL YOUR WORK!
Answer:
see below
Step-by-step explanation:
There are 36 possible outcomes when rolling 2 die
P( number) = number of times the sum appears / total outcomes
p(1) =0/36
P(2) = 1/36
p(3) = 2/36
p(4) = 3/36
p(5) = 4/36
p(6) = 5/36
p(7) = 6/36
p(8) = 5/36
p(9) = 4/36
p(10) = 3/36
p(11) = 2/36
p(12) = 1/36
Since he picked first he has the greatest odds so he is most likely to win
?????????????????????????
Answer:
[tex] \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} [/tex]
Given:
[tex]f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8[/tex]
To find:
[tex](f - g)(x) = f(x) - g(x)[/tex]
Step-by-step explanation:
[tex] \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3[/tex]
The revenue from selling xshirts is r(x) = 12x.
The cost of buying x shirts is c(x) = 5x + 20
The profit from selling x shirts is p(x) = r(x)-c(x).
What is P(x)?
A. p(x)=7x+20
B. p(x)=17x-20
C. p(x)=17x+20
D. p(x)=7x-20
Answer:
D. [tex]p(x)=7x-20[/tex]
Step-by-step explanation:
[tex]r(x) = 12x\\c(x) = 5x + 20\\p(x) = r(x)-c(x)\\p(x)=12x-(5x+20)\\p(x)=12x-5x-20\\p(x)=7x-20[/tex]
Simply subtract the two functions from each other and simplify to get the result.
Jorge solves the equation 4 x minus (x + 2) + 6 = 2 (3 x + 8) using the steps below. Step 1: 4 x minus x + 2 + 6 = 6 x + 16 Step 2: 3 x + 8 = 6 x + 16 Step 3: 8 minus 16 = 6 x minus 3 x Step 4: Negative 8 = 3 x Step 5: Negative StartFraction 8 Over 3 EndFraction = x BRAINLISEST
Answer:
The solution of the given equation is x = -4
Step-by-step explanation:
Explanation:-
Given expression 4 x - (x +2) +6 = 2 (3 x+8)
Step(i):-
4 x - (x +2) +6 = 2 (3 x+8)
4 x - x -2 + 6 = 6 x + 16
step(ii):-
3 x + 4 = 6 x + 16
subtracting '4' on both sides , we get
3 x + 4 - 4 = 6 x + 16 - 4
3 x = 6 x + 12
Step(iii):-
Subtracting '6x' on both sides , we get
3 x - 6 x = 6 x - 6 x + 12
- 3 x = 12
Step(iv):-
Dividing '-3' on both sides , we get
[tex]\frac{-3x}{-3} = \frac{12}{-3}[/tex]
x = - 4
Final answer:-
The solution of the given equation is x = -4
Verification:-
4 x - (x +2) +6 = 2 (3 x+8)
put x = -4
4 ( -4) - ( - 4 +2) +6 = 2 (3(-4)+8)
-16+2+6 = 2 (-12+8)
-8 = -8
Both are equal
Answer:
For everyone on Edge, It's A: He distributed incorrectly.
Step-by-step explanation:
he didn't distribute at all so
im pretty sure.
I need help pleasee please
Answer:
We just have to do 15 ÷ 15/4 = 15 * 4/15 = 4.