Answer:
- 23 + 19i
Step-by-step explanation:
[tex](2 + 5i)^{2} - (2 + i) \\ \\ = {2}^{2} + {(5i)}^{2} + 2.2.5i - 2 - i \\ \\ = 4 + 25 {i}^{2} + 20i - 2 - i \\ \\ = 4 - 25 + 20i - 2 - i \\ ( \because \: {i}^{2} = - 1) \\ \\ 4 - 25 - 2 + 20i - i \\ \\ = - 23 + 19i[/tex]
I need to fill in the blanks i need this before Monday at 10:45 am
Answer:
1. 0.4 cup of sugar
2. 2.5 cup of flour
3. 17.5 cup of flour
4. 2.4 cup of sugar
Step-by-step explanation:
Find the slope of the line through each pair of points.
Type your answer as a fraction.
(-1, -11), (16, -8)
Answer:
m = 3/17
Step-by-step explanation:
M = -1y/-11c + 16y/-8x = 3/17
the sum of three plus three times x equals 129 which color
Answer:
Yellow I think
Step-by-step explanation:
(3+3)*x=129
Ravi has to take a walk around a field once. If the field is 15 m long and 20 m wide, then how many metres does he have to walk?
Answer: 70 m
Step-by-step explanation:
The field described has the shape of a rectangle because one side is longer than the other.
The length that Ravi would have to walk therefore is the perimeter of this rectangle.
Perimeter = 2 × ( Length + Width)
= 2 × ( 15 + 20)
= 2 × 35
= 70 m
PLS HELP Its somewhat easy math
A pentagon is transformed according to the R 180 degrees. Which is another way to state the transformation?
Answer:
(x, y) → (–x, –y)
Step-by-step explanation:
Given
[tex]R_0, 180^{\circ}[/tex]
Required
Another way to write the above transformation
The above transformation means 180 degrees clockwise rotation.
When a coordinate point (x,y) undergoes this type of transformation, the new coordinate point becomes (-x,-y).
Hence, another way to write [tex]R_0, 180^{\circ}[/tex] is (x, y) → (–x, –y)
A bag is filled with red,blue,and green marbles.
Red-70
Blue-120
Green-60
Marble is pulled out of random from the bag. What REDUCED fraction and percent represent the probability that the marble will be green?
HELPpppppp!!!!
find the are of the ABC triangle
Answer:
The area of the triangle is 48 square centimeters.
Step-by-step explanation:
The area of a triangle is base times height times a half. So the area of the triangle is 12 * 8 / 2 = 6 * 8 = 48 square centimeters.
A scale model NASA is working on for the space shuttle is built in the ratio of 1:15, meaning the actual space shuttle is 15 times larger. If the rocket fuel container on the model is 5 inches long, how many inches long is the rocket fuel container on the actual space shuttle?
Answer: 75 inches
Step-by-step explanation:
From the question, we are informed that a scale model NASA is working on for the space shuttle is built in the ratio of 1:15.
If the rocket fuel container on the model is 5 inches long, the number of inches long is the rocket fuel container on the actual space shuttle will then be:
= 5 × 15.
= 75 inches
721 + 19 =
886 + 33 -
447 22=
915 + 36 =
??
Answer:
Step-by-step explanation:
I dont know if you still need the answers but im on a mathematics streak so imma jus answer dis rq.
plz help me and show your work
This is simple:
First of all, let us take the first equation:= 4x - 2y = 8
Put x = 0
= 4 ( 0) - 2 y = 8
= 0 - 2y = 8
= -2y = 8
= y = 8/-2
= y = - 4
So, the solution will be ( 0, -4)
For second equation,= y = ½ x + 2
Put x = 0
= y = ½ × 0 + 2
= y = 0 + 2
= y = 2
So, the solution will be ( 0, 2 ).
Now plot these points on the graph.Note*- I have taken x = 0 for easy calculation, you can take any number of your choice._________________________Find the volume of a sphere whose radius is 13 feet. Round your answer to two decimal places. (use = 3.14)
Answer:
9,202.77
Step-by-step explanation:
This is off of g/o/o/g//l/e/// btw hope this helped
i need help with number 1
Answer:
Step-by-step explanation:
Given
Points: (0,3) and (-4,-1)
Formula
x = 0 to find the y intercept
m = (y2 - y1)/(x2 - x1)
Solution
y2 = 3
y1 = - 1
x2 = 0
x1 = - 4
m = (3 - -1)/(0 - - 4)
m = 4/4
m = 1
You have y = mx + b so m = 1
the general equation becomes y = x + b
Use point (0,-4)
y = x + b
- 4 = 0 + b
b = - 4
y = x - 4
Answer:
Step-by-step explanation:
I'm not sure what the answer is. If you know, please help me out.
Answer:
Is y = (x+8) (x+3)
Answer:
1. y=(x+8)(x+3)
Step-by-step explanation:
Problem to solve:
Suppose that 8% of all cars produced at Plant A have a certain defect, and 5% of all cars produced at Plant B have this defect. A quality control manager takes separate random samples of 150 cars from each plant. The manager will then look at the difference (A-B) between the proportions of cars with the defect in each sample.
What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Choose 1 answer:
A. Approximately normal, because we expect 12 defective and 138 defect-free cars from Plant A, and 15 and 135 from Plant B, and all of these counts are at least 10.
B. Approximately normal, because we expect 16 defective and 134 defect-free cars from Plant A, and 10 and 140 from Plant B, and all of these counts are at least 10.
C. Not normal, because we expect fewer than 10 defective cars in Plant A.
D. Not normal, because we expect fewer than 10 defective cars in Plant B.
Answer:
Not normal, because we expect fewer than 10 defective cars in plant B
Step-by-step explanation:
Answer: D
Not normal, because we expect fewer than 10 defective cars in Plant B. [tex].05*150=7.5[/tex]
Step-by-step explanation: Khan Answer
Suppose you were to drop a stone down a well. A falling object obeys the equation s=16(t1)2 , where s is the distance fallen in feet and t is the time in seconds. Sound waves travel at a speed of about 1100 ft/sec, and the time it takes to travel a distance s is t2=s1100 . The total time it takes for you to hear the stone hit the water below equals the time it spent falling plus the time it takes the sound to reach your ear. What is the distance to the water's surface in the well if you hear the stone hit the water 4 seconds after dropping the stone?
Answer:
228.64 ft
Step-by-step explanation:
Given that the total time, t it takes for you to hear the stone hit the water below equals the time it spent falling, t1 plus the time it takes the sound to reach your ear t2.
Given that t = 4s and t = t1 + t2.
So t1 + t2 = 4 (1)
Also s = 16(t1)² and t2 = s/1100
Thus t2 = 16(t1)²/1000
From (1), t2 = 4 - t1
So 4 - t1 = 0.016(t1)²
0.016(t1)² + t1 - 4 = 0
(t1)² + 62.5t1 - 250 = 0
Using the quadratic formula to find t1,
[tex]t1 = \frac{-1 +/- \sqrt{1^{2} - 4 X -4 X 0.016} }{2 X 0.016}\\t1 = \frac{-1 +/- \sqrt{1 + 0.256} }{0.032} \\t1 = \frac{-1 +/- \sqrt{1.256} }{0.032} \\t1 = \frac{-1 +/- {1.121} }{0.032} \\t1 = \frac{-1 + 1.121 }{0.032} or t1 = \frac{-1 - 1.121 }{0.032}\\t1 = 0.121/0.032 or -2.121/0.032\\t1 = 3.78 s or -66.28 s[/tex]
Since t1 cannot be negative, t1 = 3.78 s
So, s = 16(t1)²
= 16(3.78)²
= 16(14.29)
= 228.64 ft
3² • 9³ = [ ]
solve
Answer:
3⁸ or 6561
Step-by-step explanation:
First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
There are no parentheses, so let's solve the exponents.
3² • 9³
3² = 9
9³ = 729
Your expression is:
9 • 729
Now let's multiply.
= 6561
This number can also be expressed with exponents.
Since 9 = 3², 9³ = 3²⁽³⁾
Now your expression is:
3² • 3²⁽³⁾
First, solve the exponents by multiplying.
3² • 3⁶
When you multiply two expressions with exponents that have the same base (3), you add the exponents.
3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸
3⁸ also equals 6561.
Your answer is 3⁸ or 6561.
Hope this helps!
Write the ratio of 24 cats to 16 dogs in simplest form in 3 ways explain or show your work
Answer:
3:2
3 to 2
3/2
Step-by-step explanation:
24/16 reduces to 3/2.
Answer:
3/2 5/3 12/8
Step-by-step explanation:
A triangle has a base of 3 inches and an area of 5 to square inches. Find the height of
the triangle. Show your reasoning.
Answer:
Four Is The Answer
Step-by-step explanation:
Thx Me Later
Please solve the proof in the picture. It uses either all of the lines or all but one.
Answer:
we cant see the picture-
Step-by-step explanation:
Answer:
Step-by-step explanation:
so do i download it?
Which of the following is the slope of the line that passes through the points (- 2, 8) and (10, - 1)
(1) -1/2
(2)-3/4
(3)7/8
(4)9/8
Answer:
2. -3/4
Step-by-step explanation:
slope formula is y2-y1/x2-x1
-1-8/10-(-2)
simplify the two negatives make a positive
-9/12
simplify
-3/4
You had 100 dollars in the bank. Over time, your account grew by 15%. How much money is in the bank?
Answer:
115
Step-by-step explanation:
13) Find the measure of an exterior angle of a regular 20-gon.*
360
n
A) 18°
OB) 20°
0 C) 162
7a^3b-7ab^3 needs factoring plz
Answer:
7ab (a+b)(a-b)
Step-by-step explanation:
please help me on this will give you brainliest!!
Answer:
a) -13 B) 82
Step-by-step explanation:
a) -34+21= -13
b) 73+9= 82
Paul’s dad drives on the highway at an average rate of 70 miles per hour. If the entire trip is driven on a highway, how many driving hours will be required for the trip
Answer:
The answer would be based off of how many miles the dad went so if he went to say 140 miles then it would be 2 hours.
Step-by-step explanation:
Just go to your calculator and divide how many miles he went by 70 then it will give you the amout of hours he went.
Have a great day! :)
two times p plus five is greater than or equal to three times p minus ten
Answer:
2p + 5 ≥ 3p - 10
Step-by-step explanation:
Answer: 2p+5 ≥ 3p-10
HELP ME IM GOING TO FAIL WILL GIVE BRAINLESS
Step-by-step explanation:
wt=swqt=srpw=ptpu=prtr=sqpr=puws=quwr=urplz mark as brainliest plz frd
Which proportion can be used to find n?
Answer:
n = 2
Step-by-step explanation:
If two triangles are similar, their corresponding sides will be proportional.
Both the triangles in the given picture similar.
Therefore, by the property of similar triangles,
Corresponding sides of the given triangles will be proportional.
[tex]\frac{1}{2}=\frac{n}{4}[/tex]
n = [tex]\frac{4}{2}[/tex]
n = 2
Find the indicated side of the triangle
Answer:
It's a 30-60-90 triangle so x=6
Step-by-step explanation:
Answer:
90 I think bc I saw the right angle