Answer:
B. y=(5x)/(1 + 2x^2)
Step-by-step explanation:
A. y = (5x)/(x * x^2)
Vertical Asymptotes: x = 0
B. y = (5x)/(1 + 2x^2)
Vertical Asymptotes: None
C. y = (5x - 1)/x
Vertical Asymptotes: x = 0
D. y = x/(1 - x^2)
Vertical Asymptotes: x = -1, 1
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
Answer:
Step-by-step explanation: Domain is the x coordinates and range is the y coordinates
please help me!
Decrease £40 by 10%
Answer:
36
Step-by-step explanation:
40 * .10 = 4
40-4 = 36
NEED HELP ASAP PLEASE!!!
An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?
323 kph with a directional bearing of S 22° E
328 kph with a directional bearing of S 68° E
420 kph with a directional bearing of S 22° E
420 kph with a directional bearing of S 68° E
Answer:
a) 323 kph with a directional bearing of S 22° E
Step-by-step explanation:
to find the ground speed:
just do the pythagorean theorem.
c²=300²+120²
c²=104400
c=323
to find the directional bearing:
use the law of sines!
sin(90)/323 = sin(θ)/120
(*explanation: since the plane is heading due south and the wind is from due west, it makes a 90 degree angle; and the side opposite of the 90 degree angle is 323. set it equal to sin theta over 120; theta is the angle u r trying to find, and the side opposite of it is 120)
cross multiply:
120sin90=323sin(θ)
divide 323 on both sides:
sin(θ)=0.3715
use inverse sin to find out degree measure:
sin⁻¹(0.3715)=21.8
rounds up to 22.
The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E. Therefore, option A is the correct answer.
To find the ground speed of the plane, we need to know what a vector is
What is a vector?
A vector is a variable that has both magnitude and direction.
Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.
Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i
Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.
What is a resultant vector?A resultant vector is the sum of two or more vectors.
So, V' = v + V
V' = (-120 kph)i + (-300 kph)j
So, its magnitude V' = √(x² + y²) where
x = -120 kph and
y = -300 kph.
So, V' = √[(-120 kph)² + (-300 kph)²]
= √[14400 kph² + 90000 kph²]
= √(104400 kph²)
= 323.11 kph
≅ 323 kph
The direction of the plane
Its direction, Ф = tan⁻¹(y/x)
Ф = tan⁻¹(-300 kph/-120 kph)
Ф = tan⁻¹(2.5)
Ф = 68.2°
From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°
So, the directional bearing of the plane is S22°E.
So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E.
Learn more about the ground speed of a plane and direction here:
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Write the equation of a line that is parallel to y = 6x +1 and that passes through the point (-7,1).
Answer:
[tex]y=6x+43[/tex]
Step-by-step explanation:
We want the equation of a line that is parallel to [tex]y=6x+1[/tex] which also passes through (-7, 1).
Since the new line is parallel, it must have the same slope as the original line.
The slope of the original line is 6.
Hence, the slope of our new line must also be 6.
We know that the slope is 6.
And it passes through the point (-7, 1).
So, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
Substitute:
[tex]y-1=6(x-(-7))[/tex]
Simplify:
[tex]y-1=6(x+7)[/tex]
Distribute:
[tex]y-1=6x+42[/tex]
Add 1 to both sides. Hence, our equation is:
[tex]y=6x+43[/tex]
Samantha claims that 4x + 2 is equivalent to the expression x + 17 + 3x − 15. Check whether Samantha’s equivalent expression is correct using x = 2. Samantha is incorrect because when using x = 2, the resulting values in both expressions are different. Samantha is incorrect because the expressions cannot be checked using x = 2. Samantha is correct because when using x = 2, the resulting values in both expressions are equal.
Answer:
The correct answer is c
Answer:
Answer is c
Step-by-step explanation:
Your welcome
Find the area of the shape below
Answer:
????
Step-by-step explanation:
Answer:
where's the shape
Step-by-step explanation:
what's the length and width, maybe I can help
5, 18, 6, 18, 13 WHATS THE INTERQUARTILE RANGE??
Answer: 12.5
Step-by-step explanation:
25th Percentile: 5.5
50th Percentile: 13
75th Percentile: 18
Interquartile Range: 12.5
A player located 18.6 ft from the basket launches a successful jump shot from a height of 10 ft (level with the rim of the basket), at an angle θ = 36º and an initial velocity of v = 25 ft/s. Find the change of distance Δs of the toss if the angle changes by an amount Δθ. Hint: Use the following fact derived from Newton's Laws: An object released at an angle θ with initial velocity v ft/s travels a total distance [tex]s=\frac{1}{32} v^{2} sin(2\theta)[/tex]
Answer:
Step-by-step explanation:
You suck free points
The change of the distance travelled by the ball when the angle of launch
changes can be found by linear approximation.
The change in the distance, Δs, when the angle changes by Δθ in radians is approximately 0.211·Δθ.Reasons:
The distance of the player from the basket = 18.6 ft.
Height from which the jump shot is launched = 10 ft.
Angle of the jump shot = 36°
The initial velocity = 25 ft./s
According to Newton's Law of motion, the distance an object travels when
released at an angle θ, with an initial velocity, v, is given by the following
horizontal range formula equation;
[tex]s = \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta)[/tex]
[tex]\dfrac{ds}{d\theta} =\dfrac{d}{d\theta } \left( \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta) \right)= \dfrac{v^2 \cdot cos(2 \cdot \theta)}{16}[/tex]
By linear approximation, we have;
[tex]\Delta s = \dfrac{ds}{d\theta} \times \Delta \theta[/tex]
Which gives;
[tex]\Delta s =\dfrac{25^2 \cdot cos(2 \times 36^{\circ})}{16}\times \Delta \theta \approx 12.07 \times \Delta \theta[/tex]
360° = 2·π radians
[tex]12.07 ^{\circ} = \dfrac{2 \cdot \pi}{360} \times 12.07 \approx 0.211 \ radians[/tex]
Δs ≈ 0.211·Δθ
Therefore;
The change in the distance, Δs, when the angle changes by Δθ is 0.211·Δθ.
Learn more here:
https://brainly.com/question/17026396
Sal invests $16,000 at age 35. He hopes the investment will be worth $320,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
59.9%
Sorry I don’t have time to explain in the middle of an exam
The rate of growth needs to be 59.9%.
The formula used to determine the future value of an investment when interest is compounded continuously is:
FV = A x [tex]e^{r}[/tex] x N
A= amounte = 2.7182818 N = number of years r = interest rateFV = future value$320,000 = $16,000 x [tex]e^{r}[/tex] x 5
Divide both sides by $16,000
20 = 5[tex]e^{r}[/tex]
Take the In of both sides
In(20) = 5r
Divide both sides by 5
r = 59.9%
To learn, please check: https://brainly.com/question/14640433
8(-4a + 8b) = 240please
Answer:
= -32a+64b
Step-by-step explanation:
thats the answer
3 − 3k + 7k = 5b find the equation for k
Answer:k=5b/4 - 3/4
Step-by-step explanation:
Answer:
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
Step-by-step explanation:
-3k + 7k = 5b - 3
4k = 5b - 3
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
Form a polynomial whose zeros and degree are given.
Zeros: 6, multiplicity 1; 3, multiplicity 2; degree 3
Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.
f(x) = (Simplify your answer.)
Answer: (x-6)(x-3)² all multiplied by 3.
Step-by-step explanation: first you will simplify (x-3)² then multiply it by (x-6). Then lastly you will multiply tha entire answer by 3 and simplify.
Hope this helped!!! :))
Who can't wait for Cyberpunk to come out
Answer:
i got it, hella good game but reallllyyy buggy
Step-by-step explanation:
feel free to ask questions abt it, I know, lore, controls, gameplay, etc.
Can somebody just answer this in simplify form plz!!! Make sure it’s a correct answer :)
(I’m still new to this and idek what “simplify it” means...?
WILL MARK BRAINLIEST
PROMISE!
given f(x)=4-3x, what is the value of f(5)?
Answer:
-11
Step-by-step explanation:
What is the domain and range please?
Answer:
Both infinate.
Step-by-step explanation:
PLEASE HELP ME
What is the simplified form of
the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3
F(x) = x^3 + x^2-5x-6 at x=2
Answer:
3^2+2^2-5×2-6
9+4-10-6
-3
Step-by-step explanation:
-3 is the answer
Answer:
It could be solved by filling in "x" as 2.
Step-by-step explanation:
F(x) = 2^3 + x^2 - 5(2) - 6
f(x) = 8 + 4 -10 - 6
f(x) = 12 -16
= -4
Hope this is easy enough to understand.
The bottom one Staples has 9 cases of crayons with 1452 boxes in each case
Office Depot has 6 cases of crayons with 504 boxes in each cate
How many total boxes of crayons do both stores hove?
Answer:
d. 16,092
Step-by-step explanation:
Staples: 1452 x 9 = 13,068
Office Depot: 504 x 6 = 3,024
13,068 + 3,024 = 16,092
An online streaming service costs $25 to join. Each gigabyte used costs $2.50. Let g represent the number of gigabytes. Would this situation represent a function?
True False
Answer: 10
Step-by-step explanation:
25 ÷ 2.5 = 10
10 gigabytes
NEED HELP ASAP WILL GIVE BRAIN
Review the diagram.
On a coordinate plane, a vector labeled 120 meters forms angle 25 degrees with the x-axis. It goes to point mirror 1. Another vector labeled 90 meters goes from point mirror 1 to mirror 2. It forms angle 20 degrees with a horizontal line. Point mirror 2 goes to (0, 0).
A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?
approximately 85 m
approximately 122 m
approximately 174 m
approximately 194 m
Answer:
Vectors are usually described in terms of their components in a coordinate system. Even in everyday life we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if you ask someone for directions to a particular location, you will more likely be told to go 40 km east and 30 km north than 50 km in the direction 37° north of east.
In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is described by a pair of coordinates (x, y). In a similar fashion, a vector
→
A
in a plane is described by a pair of its vector coordinates. The x-coordinate of vector
→
A
is called its x-component and the y-coordinate of vector
→
A
is called its y-component. The vector x-component is a vector denoted by
→
A
x. The vector y-component is a vector denoted by
→
A
y. In the Cartesian system, the x and y vector components of a vector are the orthogonal projections of this vector onto the x– and y-axes, respectively. In this way, following the parallelogram rule for vector addition, each vector on a Cartesian plane can be expressed as the vector sum of its vector components:
Step-by-step explanation:
Answer:
approximately 85 m
Step-by-step explanation:
use the law of cosines
x²=120²+90²-2(120)(90)cos(45)
*120 & 90 are given values
*45 is from 25+20; bcuz of alternate interior angles, the other angle from mirror 1 is 25 degrees, making the total 45 degrees
x=√120²+90²-2(120)(90)cos(45)
x=85, the distance btwn origin point and mirror 2
Mr. Smith had 262 markers in the art room. He threw away the markers that dried out, and now he has 99 markers. How many markers dried out?
Answer:
163
Step-by-step explanation:
262-99=163
Answer:163
Step-by-step explanation: subtract 262 and 99
Rounding Decimals 5.5252; ones
Answer:
6
Step-by-step explanation:
Identify the ones place and check the number to the right.
5.5252
Since we round up if the number to the right is greater than or equal to 5, and the number is a 5, we round up.
Therefore,
5.5252 ≈ 6
Hope this helps.
(PLEASEEE HELP) Which graph of which line represents a
proportional relationship?
Graph A
Graph B
Graph C
Graph D
Look carefully at the graph of multiple graphs shown below. Which of the graphs
represents or shows a proportional relationship?
Answer:
B
a proportional relationship in a graph needs to go through the 0.0, and also needs to be a stright line.
What is the value of (2x)° + 1
Answer:
=2x+1
Step-by-step explanation:
I am pretty sure that is the answer
PLease help me for my homework hahaqhahahahahhahaha please
Answer
Step-by-step explanation:
rise over run so it'd be 3/3 positive or y= 3x-3
Write the numbers from least to greatest
8.062, 8.26, 8.026, 8.6
Answer:
8.026, 8.062, 8.26, 8.6
Step-by-step explanation:
Answer:
Hi! I'm happy to help!
Step-by-step explanation:
8.026, 8.062, 8.26, 8.6
Write an equation for the line parallel to the given line that contains C.
y =
Answer:
y=3/7x+46/7
Step-by-step explanation:
Parallel lines have the same slope. This means in the equation y=mx+b, m=3/7 for sure. Then, it gives us the point (1,7). The line has to go through this point so we plug it in: 7=3/7(1)+C. Then, we solve for C using algebra.
7-3/7=C
C=46/7
Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the oven the second bake for 15 the muffins bake for 12 minutes and the cookies bake for 10 minutes when one tray is done he removes it a replaces it with another tray of the same item how many minutes after caylan puts the trays in the oven will he first remove the scones muffins and cookies at the same miinutes
Answer:
Step-by-step explanation:
an hour, or 60 minutes
Answer:
60 minutes
Step-by-step explanation:
i d 1 0 t
Which model represents the product 6×34?
Answer:
204 is the answer
Step-by-step explanation:
204 is the answer
Paki heart nalang po kung nakatulong
Answer:
its the 3rd
Step-by-step explanation: