Answer:
The answer is -4.
Step-by-step explanation:
It is -4 using the method of PEMDAS. Subtract 4 and 2 together in the parentheses to get 2. Multiply to the third root power to get 8. Then, multiply -3 by 4 together to get -12. Finally, subtract 12 from 8 to get -4 as your final answer.
a plane, initially traveling 150 mi/hr 100 east of north, suddenly enters a region where the wind is blowing at 50 mi/hr from the southwest. What is the plane's resultant direction?
Answer:
Velocity of plane is 100 mi/hr along northeast direction
Step-by-step explanation:
From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction
since the velocity of wind and plane is exactly opposite
⇒ relative velocity of plane with respect to wind is given by
[tex]v_r_e_l = v_p - v_w[/tex] where [tex]v_p[/tex] is the velocity of plane = 150mi/hr and [tex]v_w[/tex] = velocity of wind = 50 mi/hr
Therefore, [tex]v_r_e_l = v_p - v_w[/tex] = [tex]v_r_e_l = 150 - 50 = 100 mi/hr[/tex] alond northwest direction
Therefore, velocity of plane is 100 mi/hr along northeast direction
By working with the velocity vectors, we will find that the direction of motion of the plane is 28.7 south of east.
Working with the velocity vectors:
First, we need to define our coordinate axis, I will define the x-axis as the east and the y-axis as the north.
We know that the plane travels at 150 mi/hr at 100° east of north, notice that if we measure from the positive x-axis, this is equivalent to an angle of -10°.
Then the x-component of the velocity is: 150mi/hr*cos(-10°) = 147.7 mi/hrThe y-component of the velocity is: 150mi/hr*sin(-10°) = -26 mi/hr.
So the vector is:
V = < 147.7 mi/hr, -26 mi/hr >
Now we know that the wind blowing at 50mi/hr at southwest, exactly southwest would be at an angle of 225°, so the components of the vector are:
x-component: 50mi/hr*cos(225°) = -35.4 mi/hry-component: 50mi/hr*sin(225°) = -35.4 mi/hr.So the vector is:
W = < -35.4 mi/hr, -35.4 mi/hr>
The sum of the vectors gives the total velocity of the plane in the wind, we will get:
V + W = < 147.7 mi/hr -35.4 mi/hr , -26 mi/hr -35.4 mi/hr >
V + W = <112.3 mi/hr, -61.4 mi/hr>
The direction of a vector <x, y> is given by:
θ = Atan(y/x)
Then in this case the direction of the plane is:
θ = Atan(-61.4 mi/hr/112.3 mi/hr) = -28.7°
So the direction of the plane is 28.7° south of east.
If you want to learn more about vectors, you can read:
https://brainly.com/question/17108011
is y=4x+2 proportional?
Answer: yes
Step-by-step explanation:
If ABD ~ HGE and AC and HF are angle
bisectors, find x. And If LJK ~ PQN, find x.
Answer:
Q1. 9.6, Q2. 33Step-by-step explanation:
Corresponding parts have same ratio:
Q1
x/24 = 14/35x = 24*2/5x = 9.6Q2
x/42.9 = 30/39x/42.9 = 10/13x = 42.9*10/13x = 33Answer:
Step-by-step explanation:
4{h-3[f-6(f-h)]} please help its urgent
need a brainliest for this answer.. it took long to do.
Pls Help..... 50 points and brainliest if you answer correctly!
Answer:
5
Step-by-step explanation:
The left side is equal to:
x/(2.52-2.02) = x/0.5 = 2x
Let's simplify the numerator of the right side.
9*(31/20 - 1.05) = 9*(0.5) = 9/2
The denominator is 43/40 - 35/8 /7 = 43/40 - 5/8 = 43/40 - 25/40 = 18/40 = 9/20.
So 2x = (9/2)/(9/20) = 10
x = 5
Answer:
x=-2835/62 or (in decimal form) 45.726
Step-by-step explanation:
Hope this helps!
Brain-List?
PLEASE HELP AND GET POINTS!
Answer:
i think 6 x 72 = calculator
Step-by-step explanation:
Answer:
6 x 70 = calculator
Step-by-step explanation:
1.
Ms. Abbott's 6th grade class has 18 students with brown eyes and 12 students with blue eyes. Ms. Downey's class has 15 students with brown eyes and 10 students with blue eyes. Which classroom has a higher ratio of brown eyes?
a.
Ms. Abbott's class
c.
They are the same
b.
Mrs. Downey's class
d.
Mrs. Smith's class
Answer:
They are both the same
Step-by-step explanation:
(ratio of brown eyes to blue eyes)
Ms. Abbott's class- 18:12
Ms. Downey's class- 15:10
if you simplify both of the ratio's you'll get 3:2 for both of them. Therefore both classes have the same ratio of brown eyes to blue eyes.
Find the equation of the line shown.
Can someone help me please
Answer:
y= -2x + 9
Step-by-step explanation:
I got 2x because you use rise over run. As you can see in the image, the slope goes up two and to the left one ( 2x). It's plus 9 because that where it intersects the 9 on the y-intercept. The slope is negative because the line is going down from left to right ( always read it from left to right).
I hope this helps. I'm not that great at explaining so....:)
Answer:
2x+y-9=0
Step-by-step explanation:
let's take two co ordinates
(X1,y1)=(4,1)
(X2,y2)=(3,3)
Equation using two point :
(y-y1)/(y2-y1)=(x-x1)/(x2-x1)
plug in the values,(y-1)/(3-1)=(x-4)/(3-4)
(y-1)/2=(x-4)/-1
-1*(y-1)=(x-4)*2
-y+1=2x-8
0=2x+y-9
2x+y-9=0
A circle has a diameter of 18 feet. Which following is closest to the l circumference of the circle?
A-28.3ft
B-56.5ft
C-113.1ft
D-245.5ft
circumference =2×pi×r
18/2=9(r)
so...2×pi×9
=54..5
Answer:
56.5 ft
Step-by-step explanation:
We define the number π as the ratio between the circumference and diameter of a circle: π = c/d. Rearranging this equation gives us one for the circumference: c = πd. Using an approximation of π ≈ 3.14 and our value of d = 18 feet, we can find that c = 3.14(18) = 56.52 ft, or 56.5 ft, rounded to the nearest tenth.
Linear or not linear, PLZ I’m freaking out cause this is due in like 15 mins PLEASE HELP ME
Answer:
no yes yes no
Step-by-step explanation:
because linear means straight line if the line isnt a straight equation its wrong (: other ones have example: ^3 and ^2 so that makes the problem not straight anymore (:
Perry has already taken 8 pages of notes on his own, and he will take 1 page during each
hour of class. After attending 33 hours of class, how many total pages of notes will Perry
have in his notebook?
Answer:
41 pages of notes
Step-by-step explanation:
Since he took 1 page of notes for each hour, and attended 33 hours of class, this will add 33 pages of notes to his notebook.
To find the total, add 8 to this, because he already had 8 pages on his own.
33 + 8
= 41
So, he will have 41 pages of notes in his notebook
Answer:
He will have 41 pages of notes in his notebook.
Step-by-step explanation:
(33*1)+8
30*1=30
3*1=3
30+3=33
33+8
41
2 cents using dollar symbols
answer:
$0.02
-- let me know if you have any questions regarding this.
Which expression is equivalent to the expression shown?
2
4 x4
48
166
46
PLZ ANSWER I WILL GIVE BRAINLIST
Answer:
5^8 .. you have to do it like this 5^(2×4)
The price of a certain new car increases by the same amount each year the first year it was $17,200 and then the 12th year it was $30,400 in which year with a car cost $36,400?
Answer:
k47n4
Step-by-step explanation:
Answer: would it be the 12th year and a half
Step-by-step explanation: because since it increases then half of the year it would be $30,400
Margie says the set of numbers, 0.1, -1, -21
4
, 3, are in order from least to greatest. What is her error?
She did not use the correct common denominator.
The 3 is in the wrong place.
She treated all the numbers as positive.
The –1 should be the first number on the list.
Answer:
-21, -1, 0.1, 3, 4
Step-by-step explanation: the higher the negative number is the lower the number is for example -30 is lowe then -1
Answer:
She treated all the numbers as positive.
Step-by-step explanation:
ik because i am from the future
write one way to read the expression 1/4×(48+8)
Answer:
14
Step-by-step explanation:
= 1/4(56)
= 14
step by step
Hello please help me solve this :) will give braisnlt
What’s the order ???
For immigration
C A B E D
i think this is the answer
What is the formula for slope?
Will give brainliest for first correct.
Answer:
To solve the problems in this lesson, students use the slope formula, which states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".
Hope helps
Bi-weekly mortgage is $576. Monthly phone charges are $44.95. The electric bill last month was $105.88. Groceries cost about $98/week. What is a good estimate of your monthly expenses?
$1,401.00
$1,127.00
$1,703.00
$827.00
Answer:
2nd one...............
Answer:
1,127.00
Step-by-step explanation:
The total cost overall is 1,118.83. However you can round and estimate it to 1,127.00
Maria orders a salad and a drink for lunch at a resturant. A salad costs $4.75 and a drink costs $1.65. How much tip should maria leave the server if she wants to tip her 18%?
A. $5.24
B. $7.55
C. $6.40
D. $1.15
Carly needed to study for 5/6 of an hour for 9 days. How many hours did she study?
Answer:
180 hours
Step-by-step explanation:
24 hrs in a day
5/6 of 24 is 20 and multiply it by 9 because there are 9 days
=180
Answer:
its 180 houe=rs i agree
Step-by-step explanation:
Identify the equation of the parabola in vertex form if a = 1 and the vertex is (4, 6).
a) y = (x - 6)2 + 4
b) y = (x + 6)2 +
+4
c)y=(x + 4)² +6
d) y = (x - 4)2 + 6
Answer:
B
Step-by-step explanation:
Tatiana’s book has an area of 88 square inches what are the length and width measurements of the book
Answer:
9.38 inch
Step-by-step explanation:
[tex]length \: = width \: = \sqrt{area} = \sqrt{88} = 9.38 \: inch[/tex]
Answer:
9.38 inch
Step-by-step explanation:
Kendyl started reading a new book over the weekend. She was able to read 8 pages in the 20 minutes before dinner.at this rate how long will it take for her to read the entire book if it has 300 pages?
Answer:
750 minutes
Step-by-step explanation:
8 pages in 20 minutes
300 / 8 = 37.5
37.5 * 20 = 750
where is the point ( 0,-4) located on the coordinate plane
A. on the y-axis
B. in Quadrant 3
c. on the x-axis
d. in quadrant 4
Answer:
A
Step-by-step explanation:
If you plot the point on a cartesian plane you see it is on the y axis
Answer:
D
Step-by-step explanation:
Pls anaerw this fast
Answer:
what do you need help with
PLZ HELP ME I REALLY NEED IT?!?
Answer:
he bought 17 book.
Find cos θ for θ = 60°
Question
Find cos θ for θ = 60°
Printer A can print 21 pages per minute. Printer B can print 1300 per hour. Which printer will have the biggest number of pages in two hours.
(please show work)
Answer:
Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.
Step-by-step explanation:
Subtract 6q from 10z
Answer:
10z-6q..............