Answer:
The component form of the vector that represents the velocity of the airplane is [tex](74.1 i , \ 11.73j)\ mph[/tex]
Step-by-step explanation:
Given;
velocity of the airplane, v = 75 mph
direction of the plane, θ = 9°
The vertical component of the velocity is given by;
[tex]V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph[/tex]
The horizontal component of the velocity is given by;
[tex]V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph[/tex]
Therefore, the component form of the vector that represents the velocity of the airplane is given as;
[tex](V_x , \ V_y) = (74.1 , \ 11.73)\ mph[/tex]
Which subtraction expression
has the difference 1 + 4i?
O (-2+ 6i) - (1 - 2i)
O (-2+ 6i) - (1 - 2i)
O (3 + 5i) - (2 - i)
O (3 + 5i) - (2 + i)
Answer: d, (3+5i)-(2+i)
Step-by-step explanation:
i’m smart
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can find the difference 1 + 4i by subtracting the complex numbers in each expression and checking which one gives us the result of 1 + 4i.
Let's start with option (a):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
This is not equal to 1 + 4i, so option (a) is not the correct answer.
Let's move on to option (b):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
We have already seen this expression and it is not equal to 1 + 4i. Therefore, option (b) is also not the correct answer.
Let's move on to option (c):
(3 + 5i) - (2 - i) = 3 + 5i - 2 + i = 1 + 6i
This is not equal to 1 + 4i, so option (c) is not the correct answer.
Finally, we have the option (d):
(3 + 5i) - (2 + i) = 3 + 5i - 2 - i = 1 + 4i
This is equal to 1 + 4i.
Thus,
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Learn more about expressions here:
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A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes
Complete question is;
A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
Answer:
A) (d/9) + 900 + (d/6) = 1080
B) d = 648 ft
Step-by-step explanation:
A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.
Time taken is given as;
t = distance/speed
If distance is d from the hive to the flower bird.
Then, t1 = d/9
The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.
We are told that the bee flew directly back to the hive at 6 feet per second.
Thus,time is;
t3 = d/6
Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s
Thus;
(d/9) + 900 + (d/6) = 1080
B) Since we have derived;
(d/9) + 900 + (d/6) = 1080
Then we can find d.
Multiply through by 18 to get;
2d + (900 × 18) + 3d = 1080 × 18
2d + 16200 + 3d = 19440
5d = 19440 - 16200
5d = 3240
d = 3240/5
d = 648 ft
add (4x^2-xy-y^2) and (x^2+5xy+8y^2) simplify your answer:
Answer:
To find a, b, and c, rewrite in the standard form ax2+bx+c=0ax2+bx+c=0.
a=1, b=3, c=0
Answer:
4x^2-4xy-3\frac{y^2}{2}x^2-5xy-3y^2 is 2
−3x^2 y^2 +8x^2 −18xy−6y^2
Step-by-step explanation:
???? If you know it, put it down below :)) thanks!
Answer:
66
Step-by-step explanation:
A contestant on the Biggest Loser tv show started at 380 lbs. When the show ended, the contestant weighed 225 lbs. What was the contestants percent decrease?
Answer:40.789%
Step-by-step explanation:
380-225=155
155/380=0.40789 or 40.789%
Avery and Nolan's baseball teams are fundraising. Avery's team has reached ⅗ of their goal. Nolan's team has reached 5/9 of their goal. Avery says her team collected more money than Nolan's team. Both of the goals are $450. Is Avery correct?
Answer:
Yes , Avery is correct
Step-by-step explanation:
To check if Avery is correct, we need to know the exact value obtained in each of their goals
For Avery’s team;
3/5 * 450 = $270
For Nolan’s team
5/9 * 450 = $250
Since $270 is greater than $250, we can see that Avery’s team collected more money
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
That looks like interior angle to me
x = 47 (since interior angles are congruent)
Step-by-step explanation:
I am really sleepy... :/
which number is irrational?
Answer: pie, the last one
Writing an Equation Given Two Point
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
solve for x: -5|x + 1| = 10
Answer:
x=-3
Step-by-step explanation:
-5(x+1)=10
-5x-5=10
-5x= 15
x=-3
Find the distance between A and B
Answer:
The distance between A and B is 2.6
Step-by-step explanation:
We know that there are 2 whole numbers from -1 to 0 and 0 to 1. Then we can add the 0.3 from both sides. 0.3 plus 0.3 is 0.6.
I hope this helped and if it did I would appreciate it if you marked me brainliest, thank you and have a nice
day
Answer:
27 cm or 2in and 6cm!
Step-by-step explanation:
count the lines.
Consider the equation y = 3x - 1. Identify the slope and y-intercept and
sketch the graph.
can you guys help me pleasee ?
Answer: slope=3
y intercept :(0, -1)
Step-by-step explanation:Use the slope-intercept form to find the slope and y-intercept
What is a pre-image?
Answer:
an image before the image your seeing
Step-by-step explanation:
If two gallons of gas cost $5.40, how many gallons can be purchased for $13.50?
Answer:
5 gallons because 13.5 divided by 5.4 is 2. 5 so times 2 so 5
Answer:
5 gallons.
Step-by-step explanation:
two gallons=$5.40
? gallons=$13.50
you cross multiply
2 × $13.50÷$5.40
27÷5.40=5 gallons
how to write this numbers in word 89.04
Answer:
eighty-nine point zero four
Step-by-step explanation:
Answer:
u mean 89.04 = eighty-nine point zero four?
Step-by-step explanation:
Please Help Me I will give you 100 Points
Answer:
twoendndbdsjwu
Step-by-step explanation:
Answer:
a. x represents the 1$ rides and y represents the 2$ rides.
b. they represent the rides that she has taken.
c. (4, 11) or x = 4 and y = 11
Step-by-step explanation:
Benny went to his local zoo that featured 6 lion exhibits. If these lion exhibits make up 25% of the zoo's exhibits, then how many exhibits does the zoo have in total?
Answer:
24
Step-by-step explanation:
if 6 exhibits are 25% of the entire zoo. You would need four times that amount to get the total number of exhibits because 25% × 4 = 100%. So, if you multiply 6 × 4 the total number of exhibits would be 24.
EASY POINTS Y'ALL!!!!
Answer:
subtracting 18 from both sides isolate the variable term
Is 10, 24, and 13 a Pythagorean triple?
A. yes
B. cannot tell
C. no
Answer:
C. no
Step-by-step explanation:
2divided by 1/2
A. 2
B. 16
C. 8
D. 4
Answer:
It's letter D. It's four.
5÷4/9 help mee :_<<<<<<
Answer:
45/4 I think
Step-by-step explanation:
you would do keep flip switch
so 5 would be 5/1, flip 4/9 to become 9/4 then multiply 5/1 by 9/4
hopefully this helps you
Answer:
5 divided by 4/9 equals 45/4, or 11.25
Step-by-step explanation:
Can someone help me with the questions in the picture?
Answer:
25) B obtuse scalene
26) A acute isosceles
27) A acute isosceles
28) D obtuse isosceles
29) D right scalene
30) C obtuse isosceles
31) C obtuse scalene
32) C acute scalene
Step-by-step explanation:
A scalene triangle has sides of no equal measures (no side has the same length as another). An isosceles triangle has two sides of the same length. An equilateral triangle has three sides that all have the same lengths.
An acute triangle has all three angles that each measure less than 90°. An obtuse triangle has one angle that measures greater than 90°. A right angle has one angle that measures exactly 90°.
Hope this helps :)
What is the system of equations represented by the table of values for continuous
linear functions, f(x) and g(x), shown below?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
which is greater? 2/3 or 3/4?
Answer:
3/4
Step-by-step explanation:
When finding common denominators the answer would be 3/4.
Answer:
2/3 is not greater than 3/4
Step-by-step explanation:
Calculate the rise and run to find the slope of each line
Answer:
Step-by-step explanation:10
Answer:
1) slope m=-4
2) slope m=-5/4
3) slope m=1
4) slope m=-2
5) slope m=3/5
6) slope m=5/8
Step-by-step explanation:
Slope equation: m=y2-y1/x2-x1
With our slope equation can get just use the graph and choose two points that the line crosses over.
Question 1 example) I chose points (0,-3) as my x1, y1, and point (1,-1) as my x2, y2. I plugged the numbers into the equation and got -1-3/1-0=-4. Which is why our slope is -4
The rest of the questions follow the same concept of Finding two points, decide which one is your x1, y1 and which one is you x2, y2 (does not matter which one you associate with each point), plug the numbers in, and calculate the slope.
(I may be wrong because the graph is a little blurry)
Hope this helps you
If you subtract a negative number to another negative number do you get a positive answer or negative?
Answer:
Negative
Step-by-step explanation:
Because Depending on which number is the biggest it's negative and the rules say the same signs add different subtract and keep the sign of the bigger number so
positive minus a negative= positive (6-3=3)
negative-positive= negative (-10+5= -5)
Example: What is 6 − (−3)? Yes indeed! Subtracting a negative is the same as adding!
What is the y-intercept of f(x)
= (3/5)^x?
Answer:
(0,1)
Step-by-step explanation:
its right
Which graph represents a function?
a. Each day, your teacher randomly calls on 5 students in your class of 30. What is the
probability you will be called on today?
Answer:
The probality is 5/30 or in simpliest form it is 1/6!
Step-by-step explanation:
Hope this helps! Plz give me brainliest
Vicky records the low temperature for three consecutive days. Between the first and second days the temperature increased 6 degrees. Between the second and third days the temperature decreased 3 degrees. On the third day the low temperature was –6º. What was the low temperature on the first day?
Answer:
3
Step-by-step explanation:
-6+6=0
Plus the 3
Your answer is 3
Answer:
-3 or 3
Step-by-step explanation: