Answer:
The answer is 30+7i.
Step-by-step explanation:
Imaginary Number Definition
[tex]\large\boxed{{i=\sqrt{-1}}}[/tex]
Simply evaluate like how you evaluate polynomials. Expand the expression in.
[tex]\large{(8-3i)(3+2i)=[(8*3)+(8*2i)]+[(-3i*3)+(-3i*2i)]}\\\large{(8-3i)(3+2i)=(24+16i)+(-9i-6i^2)[/tex]
Therefore, our new expression when cancelling out the brackets is:
[tex]\large\boxed{24+16i-9i-6i^2}[/tex]
Imaginary Number Definition II
[tex]\large\boxed{i^2=-1}[/tex]
Therefore, substitute or change i² to -1
[tex]\large{24+16i-9i-6(-1)}\\\large{24+7i+6}\\\large{30+7i}[/tex]
Complex Number Definition
[tex]\large\boxed{a+bi}[/tex]
Where a = Real Part and bi = Imaginary Part.
Therefore, it's the best to arrange in the form of a+bi.
Hence, the answer is 30+7i.
Mrs. Miller and 8 of her closest friends are taking a
Yoga class. The total cost for the class is $78.75.
Write and solve a multiplication equation to show
the cost per person for the Yoga class.
Answer:
f f f f f ff f f ff f f ff f f f f f f
Step-by-step explanation:
Hal and Renee play the following game: A bag has 14 tiles in it, , each with a letter from the phrase the probability on it. Hal and Renee take turns drawing a tile, recording the letter, and placing the tile back in the bag. Renee earns a point if she draws a vowel. Hal earns a point if he draws a consonant. They decide that the letter y can be a vowel or a consonant. Which statement best explains whether or not the game is fair?
A) The game is fair because both Hal and Renee will get a point if the letter y is drawn.
B) The game is not fair because the probability of Hal drawing a winning letter is more than the probability of Renee drawing a winning letter.
C) The game is fair because Hal and Renee have the same probability of drawing a winning letter.
D) The game is not fair because the probability of Hal drawing a winning letter is less than the probability of Renee drawing a winning letter.
(SOMEONE PLEASE HELP ME)
Answer:
B
Step-by-step explanation:
There are more consonants in the phrase than vowels so Hal has a better chance of pulling a winning letter. Also, before any tiles have been drawn, Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.
Option B is correct.
As given the bag has 14 tiles, each with a letter from the phrase the probability on it.
What is probability?
Probability is nothing but the ratio of number of favorable outcome and total number of outcomes.
Now,
As we know a phrase always consist of vowels and consonants and the number of consonants is always greater than vowels.
Therefore, Hal has better chance of pulling a willing letter. Also before any tiles have been drawn, so Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.
Hence, option B is the correct option.
To learn more about probability visit: https://brainly.in/question/20635873#
#SPJ2
There are 13 students in the class if every student in the class recycled one piece of paper each school day for the whole school year how many pieces of paper would get recycled versus go in the trash? (There are 172 school days per school year)
Answer:
dont know the answer but as i see, 13 student in class and each have 1 peice so 13 per day. you said 172 days so, 172 multiply 13 is 2236. its your answer
In the figure ,PS bisects angle RPT.If PS//QR then prove that:PQ=PR
There are 6 flavors of candy in a bag. The probability of randomly selecting strawberry is 1/4, lime is 3/16, lemon is 4/32, cherry is 1/8, and grape is 14/64. What is the probability of randomly selecting a piece of the 6th flavor?
Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution. Explain. Show your work. plzzz help me ill give yo a brainlyiest
Answer:
Solution;
given equation : 3.67 = c - 2.13
On solving equation, we get
c = 3.67 +2.13
c = 5.8
Hence, Janae solution is incorrect. So I disagree.
Answer: No because the answer is c =5.8 or 5.80
Step-by-step explanation:
Add 2.13 to both sides. 3.67 + 2.13 = 5.80
Please help worth 10 points
Answer:
2.5%
Step-by-step explanation:
ahhh has to be 20 characters
I would say 50 percent
A) 79.2
C) 11.9
B) 8.9
D) 11.6
Answer:
789
Step-by-step explanation:
Original price New price Calculation Converted to fraction over 100 % change
$20
$16
20 - 16
20
=
4
20
4 20
20 100
$20
$15
Answer:
1.20%
2.25%
Step-by-step explanation:
in 2.i converted to fraction over 100 and I've changed to percentage.I think that's what you needed hope it helps.
Grandma received 0.25 liters of medicine from her doctor. The directions asked her to take one teaspoonful 3 times daily until it is finished. A full teaspoon has a capacity of 4 ml. Grandma started taking her medicine on November 20th. What date should the medicine finish?
Answer:
Dec 10
Step-by-step explanation:
0.25 liter = 250 ml
4 ml * 3 = 12 ml
250/12 = 20.83 days
Nov 20 - Nov 30: 11 days
Dec 1 - Dec 9: 9 days
On December 9, she can still take her 3 doses.
By December 9, she will have taken 12 ml per day for 20 days for a total of 240 ml. She has 10 ml left for Dec 10th.
On Dec 10, she will take 2 doses of 4 ml and 1 dose of 2 ml, and she will finish the medicine.
11 divided by 6 please help
Answer:
1.83 (the 3 keeps going so I simplified it)
Step-by-step explanation:
11/6 = 1.8333333333 (keeps going...)
:))
WILL MAKE BRAINLIEST!!!
write the equation given the slope and y-intercept
1.) m= 1, b=2
2.) m= 1/4, b=0
3.) m= -3, b= 0.5
4.) m= 0.2, b=0.8
jennifer got a box of chocolates the box is a rectangular prism the measurments are 3in x 4in x 5in what is the surface area of the box of chocolates
Answer:
90
Step-by-step explanation:
-x+4=-9 help me please
Answer:
-13 = x
Step-by-step explanation:
:))
Answer: x = 13
Step-by-step explanation:
First subtract -4 on both sides because your adding by 4
-x + 4 = -9
- 4 -4
The 4 - 4 cancels out
So, -9 - 4 is -13
Then we change the sign because we cannot leave x negative.
-x = -13
x = 13
In ADEF, the measure of ZF=90°, the measure of ZD=69°, and FD = 64 feet. Find
the length of DE to the nearest tenth of a foot.
9514 1404 393
Answer:
178.6 ft
Step-by-step explanation:
The definitions of the trig functions tell you ...
Cos = Adjacent/Hypotenuse
cos(69°) = FD/DE
DE = FD/cos(69°) ≈ (64 ft)/0.3584
DE ≈ 178.6 ft
Find the difference
Answer:
4x² - 2x + 5
Step-by-step explanation:
5x² - 1x² = 4x²
8x - 6x = 2x
2 + 3 = 5
= 4x² - 2x + 5
254,817- 13?,125=118,692
Answer:
118,692
Step-by-step explanation:
V.
Simplify the expression using the distributive property.
14.
3(2x - 5)
I’m
Answer: 6x-15
Step-by-step explanation: 3 times 2x equals 6x and 3 times -5 equals 15, which makes 6x-15
Answer:
6x-15
Step-by-step explanation:
Distributive property means that you would be distributing.
So, 3 · 2x = 6x
3 · -5 = -15
You cannot simplify any further, so the final answer is 6x - 15.
Let me know if you need further clarification, and if this helped, feel free to award a Brainliest :P
B
Manuel is leaving Boston to go on a hike at Mt.
Monadnock, in New Hampshire. He mapped out a
route with the map scale of 1 in. = 25 mi and found the
total distance on the map to be about 3.2 inches. What
is the actual distance Manuel will travel?
miles
Bu
1 in. = 25 mi
A town has a population of 7000 and grows at 4% every year. What will be the population after 13 years, to the nearest whole number?
Answer:
The population would be 11,656 after 13 years.
Step-by-step explanation:
We can do the equation 7000(1+4/100)^13
Hope it helps :)
Identify the slope in y=-1/3x + 2
Hint: y = mx + b
1. -1/3
2. 2
3. -2/3
4. 1
Answer:
A) -1/3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = -1/3x + 2
m = -1/3
How do I solve this ...........................
Answer:
proportion: 3/2 roses = 38.70, (3/2)/38.70 = 1/x, x = 25.80 dollars I believe
Step-by-step explanation:
The maximum grain yield for corn is achieved by planting at a density of 36,000 plants per acre. A farmer wants to maximize the yield for the field represented on the coordinate grid. Each unit on the coordinate grid represents one foot. How many corn plants, to the nearest thousand, does the farmer need? (Hint: 1 acre = 43,560 ft2)
Answer:501,000
Step-by-step explanation:
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle is 5 cm. Find the area of the quadrilateral
Answer:
60cm^2
Step-by-step explanation:
We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...
K = sr
where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.
K = (12 cm) (5cm) = 60 cm²
_____
A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.
Answer and explain deeply thank you so much! I’ll mark brainliest
-12 + 45
25 + -77
Theres more in pic
Answer
|-12|+|45|=|12|+|45|= 12+45=57
Step-by-step explanation:
When you take the absolute value of a negative number it is the same thing as taking as a positive number. The absolute value is just that number. Once you teach the absolute value of each number perform the operation given In the problem.
Combining Like Terms:
11z+17-7z-6
Answer:
4z+11 final answer
Step-by-step explanation:
11z+17-7z-6 this is the Q
11z-7z+17-6
4z+11 the result is 4z+11
What are vertical angles? If ZA and ZB are vertical angles, what is true about their
measures?
Answer:
45 i think
Step-by-step explanation:
[tex]\huge{ \mathbf{ \underline{ Answer }\: \: ✓ }}[/tex]
Vertical Angles are pair of two angles opposite to each other formed by two lines intersecting each other. And they have equal measures.
So, if [tex]\angle A[/tex]\angle B[tex][/tex] are vertical angles then they have equal measures .
[tex] \large\boxed{ \angle A = \angle B}[/tex]
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
please answer asap NO SCAM LINKS.
I don’t know how to solve the question so can you explain how you did it so I don’t have to come back on this app.