Write an equivalent expression for each operation.
(3 + 2i) + (4 + 5i)
Help me plz ASAP
Answer:
The equivalent expression is [tex]7(1+i)[/tex]
Step-by-step explanation:
Additional of complex numbers:
When we add complex numbers, we add both it's real parts and imaginary parts.
In this question:
[tex](3 + 2i) + (4 + 5i) = 3 + 4 + (2+5)i = 7 + 7i = 7(1+i)[/tex]
The equivalent expression is [tex]7(1+i)[/tex]
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
- 2
0
2
Use the function rule to complete the table.
- 10x + y = 4
Please help I’ve been stuck on this for an hour now PLEASEEEEE
Answer:
y= 10x + 4
Step-by-step explanation:
-10x + y = 4
-10x + y +10x = 10x + 4
y= 10x + 4
depending on what its asking usually this is what its asking for but im not sure exaclty what its asking so here.....
next step is to plug the numbers in
so for the first box it says that x is -2
plug it in.....
y = 10(-2) + 4
y = -20 + 4
y = -16
then keep doing it for the next boxes.....
second box:
y = 10(-1) + 4
y = -10 + 4
y = -6
third box:
y = 10(0) + 4
y= 4 because 10 times zero is zero (basically any number times 0 is zero)
fourth box:
y = 10(1) + 4
y = 10 + 4
y = 14
fifth box:
y = 10(2) + 4
y = 20 + 4
y = 24
Hope this helps!
*srry in advance if its wrong
Ginee sells t-shirts that she custom designs and buys from two wholesalers. Custom T-Shirts charges $7 for each t-shirt and a one-time screen print set-up fee of $40. T-Shirts Unlimited charges $8 for each t-shirt and a one-time screen print set-up fee of $20. Based on this information, which THREE statements are correct?
Answer:
Its B,C,D
Step-by-step explanation:
Find m∠4 if m∠1 = 100°
Answer:
m4{=100 is the answer,,,,,,
What's the probability of the compound event for. A bag contains 4 red, 8 blue, 6 yellow and 2 green marbles. Maria selects a marble, puts it back and then selects a second marble. P (blue, red)
Given:
Number of red marbles = 4
Number of blue marbles = 8
Number of yellow marbles = 6
Number of green marbles = 2
To find:
The probability of getting a blue marble then a red marble, i.e., P(blue, red).
Solution:
Using the given information,
The total number of marbles = 4+8+6+2
= 20
Probability of getting a blue marble in first draw is
[tex]P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}[/tex]
[tex]P(Blue)=\dfrac{8}{20}[/tex]
[tex]P(Blue)=\dfrac{2}{5}[/tex]
Maria selects a marble, puts it back and then selects a second marble. It means the total number of marbles remains the same.
[tex]P(red)=\dfrac{\text{Number of red marbles}}{\text{Total number of marbles}}[/tex]
[tex]P(red)=\dfrac{4}{20}[/tex]
[tex]P(red)=\dfrac{1}{5}[/tex]
Now, the probability of getting a blue marble then a red marble is
[tex]P(blue,red)=\dfrac{2}{5}\times \dfrac{1}{5}[/tex]
[tex]P(blue,red)=\dfrac{2}{25}[/tex]
Therefore, the required probability P(blue, red) is [tex]\dfrac{2}{25}[/tex].
III. Fill in the gaps with the correct form of the verbs in brackets.
(go) early
1. If you
(not/want) to stay in the party, we
2. You
(pass) your exams if you
(study) really hard.
Answer:
give us a more zoomed out picture
Step-by-step explanation:
Look at point w,x,y,and z on the number line
Answer:
u need toADD THE PITRUE
Step-by-step explanation:
what shape can be formed from the fowllowing net?
Answer:
rectangular prism
Step-by-step explanation:
find the value of u in paralellogram
Answer:
34
Step-by-step explanation:
2u=u+34
2u-u=34
u=34
Answer:
Step-by-step explanation:
2u = u + 34
u = 34
PLEASE HELP!! The AHS Football team did a weigh in at the start of training camp. The weights of the players were distributed normally with a mean of 98kg and a standard deviation of 6kg. Which of the following curves represents the data? A,B, Or C??
Answer: Choice C
=========================================================
Explanation:
The mean is 98, so that's the center of the distribution. This is where the highest point occurs because the most people are clustered around here. This rules out choice A and the answer is between B or C.
One standard deviation above the mean is 98+6 = 104. All we do is add on the standard deviation (6) to the mean (98) to get 104.
One standard deviation below the mean is 98-6 = 92
The graph that has tickmarks at 92 and 104 indicate we are exactly 1 standard deviation from the mean (98)
Similarly, 2 standard deviations above the mean is at 98+2*6 = 98+12 = 110. Or you could say 104+6 = 110.
2 standard deviations below the mean would get us to 98-2*6 = 98-12 = 86
The same idea applies to 3 standard deviations as well.
All of this matches with graph C. We can eliminate graph B by noticing that something like 95 is not a result of 98-6.
what are the x-interceptsf(x)=-2x2-3x+20?
Step-by-step explanation:
f(x)=(2×2)-3x+20
0=4-3x+20
0=-3x+24
3x=24
×=24÷3
x=8
Mr. Bernstein owns 11 paintings, but has only enough wall space in his home to display five of
them at any one time. How many ways can Mr. Bernstein display three paintings in his home?
Answer:
2,184
Step-by-step explanation:
Find the value of the expression a? – b2 for a = 2 and b=1
Answer:[tex]a^2-b^2=3[/tex]
Step-by-step explanation:
We need to find the value of the below expression i.e.
[tex]a^2-b^2[/tex] when a = 2 and b = 1.
So,
Put a = 2 and b = 1 in the above expression. So,
[tex]a^2-b^2=(2)^2-1^2\\\\=4-1\\\\=3[/tex]
Hence, the value of the expression is equal to 3.
What is the perimeter of the larger triangle
18
b) 45
d) 36
Answer:
36
Step-by-step explanation:
its x2 for the missing length of the original once you have it add it all up.
Plssss HELPPP I DONT wanna fail o(≧口≦)o
Answer:
1/4
3/8
3/4
Step-by-step explanation:
Fairly rough estimates as the image doesn't look perfectly to scale!
Help please
look at the picture above
Answer:
60
Step-by-step explanation:
To find area just multiply base time height, length time width, or side time side if it is a square, so 5 x 12 = 60
Use substitution to solve the following system of equations. 4x – 13y = -12 AND X = 2y - 8
Answer:
y=5/4=0.8
Step-by-step explanation:
(4×2y−8)−13y=−12
Multiply 4 and 2 to get 8.
8y−8−13y=−12
Combine 8y and −13y to get −5y.
−5y−8=−12
Add 8 to both sides.
−5y=−12+8
Add −12 and 8 to get −4.
−5y=−4
Divide both sides by −5.
y=−5−4
Fraction −5/−4 can be simplified to 5/4 by removing the negative sign from both the numerator and the denominator.
y=5/4
The value of a is the value of B is the value of C is
Answer:
A: 5
B: 9
C: 32
I hope this helps the people who're looking for this answer!
A: 5
B: 9
C: 32
thank you :)
In which equation does X have a value of 25 A) 2 ( x - 25) = 25 B) 1/5 X + 20 = 25 C) 0.5 X + 12 = 25 D) -4X -75 = 25
Answer:
B
Step-by-step explanation:
1/5x +20 = 25
1/5x = 5
x = 25
Answer:
B
Step-by-step explanation:
A) 2(x-25)=25 x=25 2(25-25)=25 2(0)=25 No
B 1/5x+20=25 x=25 1/5*25=5 5+20=25 Yes
B is the answer! I hope this helped ^^
Please explain in words.
Answer:
Negative
Step-by-step explanation:
The following expression will be negative. This is because, the fraction in x is a negative fraction. The fraction in y is a positive fraction. The expression is x * y, so if you were to multiply the two it would be negative. This is because a negative multiplied by a positive will be equal to a negative.
Hope this helps!!
-Ketifa
(Can I get brainliest?)
[tex]\frac{t}{5} =13[/tex]
Answer:
t=65
Step-by-step explanation:
[tex] \frac{t}{5} = 13[/tex]
[tex]5 \times \frac{t}{5} = 5 \times 13[/tex]
[tex]t = 65[/tex]
cuanto es 3/4 × 5/6
Answer:0.625 or 5/8
Step-by-step explanation:
When Mrs. Campece bakes chocolate chip cookies, she need 2 cups of flour
for every 1.5 cups of chocolate chips. If she's making a big batch and uses 6 cups
of flour, how many chocolate chips does she need?
Answer:
4.5
Step-by-step explanation:
make a proportion:
[tex]\frac{2}{1.5} = \frac{6}{x}[/tex]
solve for x using cross products:
x=4.5
Identify the angles , solve for x
Answer:
Consecutive interior angles ; x = 20
Step-by-step explanation:
These are known as consecutive interior angles. This means they are equal to each other. Knowing this, we can set up an equation to solve for x.
4x - 30 = 2x + 10
2x - 30 = 10
2x = 40
x = 20
Find the equation of the line with slope m=1 that contains the point (1,2)
Answer:
y = x + 1
Step-by-step explanation:
We can use the point-slope formula to write an equation for this problem. The point-slope formula states: (y - y1) = m (x - x1)
Where m is the slope and (x1 y1) is a point the line passes through.
Substituting the slope and the values from the point in the problem gives:
( y - 2 ) = 1 ( x - 1 )
We can also solve for y to put the equation in slope-intercept form. The slope-intercept form of a linear equation is: y = mx + b
y - 2 = 1x - 1
y = 1x - 1 + 2
y = 1x + 1 or y = x + 1 * are just the same.
The equation of the line is y = x + 1.
What is a slope?The slope and direction of a line are represented numerically by the line's gradient, which is also referred to as the slope in mathematics.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
And here we have the slope,
m = 1
And (x₁ ,y₁) = (1,2)
then the equation of line is
y - y₁ = m (x - x₁)
y - 2 = (x -1)
y = x + 1
Therefore, the equation is y = x + 1.
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
In the past, 30% of a country club's members brought guests to play golf sometime during the year. Last year, the club initiated a new program designed to encourage members to bring more guests to play golf. In a sample of 95 members, 34 brought guests to play golf after the program was initiated. When testing the hypothesis that the new program has increased the proportion of members bringing out guests (using a 5% level of significance), what is the null and alternative hypothesis
Answer:
The null hypothesis, H₀: p = 0.3
The alternative hypothesis is Hₐ: p ≠ 0.3
Step-by-step explanation:
The null hypothesis, H₀, in inferential statistics is the default hypothesis that the measured quantity is zero or null and therefore there is no difference between the population characteristic measured, when the quantity measured is the difference between two situations
Therefore, the null hypothesis, H₀: p = 0.3
The alternative hypothesis is usually the opposite of the null hypothesis, therefore, the alternative hypothesis Hₐ is given as follows;
The alternative hypothesis is Hₐ: p ≠ 0.3
please help on this question i will give u brainliest:
Mr. Ramirez informs the students that some of the trees they plant will not survive their first year, so the class will take precautions to monitor the trees to give them the best chance of survival.
Abby does some research and finds that, on average, 3 out of every 25 trees planted will die their first year.
Answer:
smalls
Step-by-step explanation:
ill mark brainlist plss help
Answer:
The light because it uses it with water and carbon dioxide to do photosythesis and use gluose for energy
Step-by-step explanation:
Using a directrix of y = 2 and a focus of (3, −4), what quadratic function is created?
Answer:
f(x) = -1/12 (x - 3)^2 - 1
Step-by-step explanation:
one half of the birds at the pet store are yellow. Tara buys one of the birds. Then one third of the birds at the pet store are yellow. How many yellow birds were at the pet store before Tara bought one? explain how u know