a positive radial velocity means the object is moving [x] the observer, while a negative velocity means the object is moving [y] the observer.
Answers
a positive radial velocity means the object is moving [x] the observer, while a negative velocity means the object is moving [y] the observer ,x away from, y towards
Radial velocity is the velocity of an object in the direction of an observer. A positive radial velocity means the object is moving away from the observer, while a negative velocity means the object is moving towards the observer.Radial velocity is the speed of an object in a particular direction, as observed from an observer. It is measured in the direction towards or away from the observer. A positive radial velocity means the object is moving away from the observer, in a direction radially outward from the observer. A negative radial velocity means the object is moving towards the observer, in a direction radially inward from the observer.
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Related Questions
Ahmad gives his friend Juana a lottery ticket for her birthday. The ticket cost Ahmad $1, and the back of the
ticket says, "The overall odds of winning a prize with this ticket are 1 : 50, and the expected return for this
ticket is $0.50.6000000
Ahmad says, "lf 1,000 people each bought one of these tickets, they'd have spent $1,000 in total and get back
about $5,000."
Juana says, "The probability that one of these tickets wins a prize is 0.50, on average."
Whose statement is correct based on the expected value?
Choose 1 answer:
Only Ahmad's
Only Juana's
Both statements are correct.
Neither statement is correct.
Answers
According to the information provided the statement of both people is incorrect (option D)
Ahmad's statement is false because he claims that in the situation where 1000 people spend $ 1000 on lottery tickets they would get back $ 5000. However, the recovery would be $ 500 This statement can be verified by doing the following operation:
0.50 x 1000 = 500
On the other hand, Juana's statement is false because she says that people who buy a lottery ticket have a probability of winning of 0.50 on average. However, the true probability is 0.02. This statement can be checked by doing the following operation:
1 ÷ 50 = 0.02
According to the above, none of the statements of the characters is true.
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Answer:
Neither statement is correct
Step-by-step explanation:
Got it right on Khan Academy
Meghan walked 1.67 fewer miles than Ellie. Ellie walked 5.34 miles. How many more miles did Meghan walk?
Answers
Answer:
7.01 miles
Step-by-step explanation:
5.34 + 1.67 = 7.01 miles
the term “more” indicates adding 2 or more numbers
Match each unit rate to its ratio. PLEASE HELP
Answers
Answer:
1½ gallons per minute3 gallons per minute ⅔ gallon per minute 9 gallons per minuteStep-by-step explanation:
You have to divide both numbers.
16) Solve for side AB.
AB-
Round your answer to the nearest hundredth.
A) 5.45
B) 6.45
C) 7.45
Answers
Answer:
AB= 7.45
Anwer C)
Step-by-step explanation:
Cos (angle) = Nearest side / Huypothenuse
Cos(20) = 7 / AB
Cos(20) * AB = (7 /AB) * AB
Cos (20) * AB = 7
(Cos(20) *AB) / Cos(20) = 7 / Cos(20)
AB = 7 / cos(20)
AB= 7.45
In order to find the hypotenuse, we can use the trigonometric function “cosine”,
since.
Cosine =
Adjacent side (which is 7) / hypotenuse
Cos(50) = 7 / AB
AB = 7 / Cos(50)
AB = 10.89006678802289
AB ≈ 10.89
Have a good day ^^
If a farmer has 320 eggs and you take 37 eggs, how many eggs do you have? - Quora
Answers
Answer:
Dear User,
Answer to your query is provided below
You take 37 eggs so you have 37eggs
Step-by-step explanation:
After Reading question clearly, you will see that you were having 0 eggs and then take 37eggs ,
so, 0+37 =37
Which term describes the collection of all points in a plane that are the same
distance from a given point in the plane?
A. Chord
B. Line
C. Diameter
D. Circle
Answers
Answer:circle
Step-by-step explanation:
I just got it right
Answer:
Circle
Step-by-step explanation
FIND THE AREA PLEASE
Answers
Answer:
the area of the shape is 48m
Step-by-step explanation:
10*4=40
2*4=8
40+8=48
brake it up into two triangles. one is a triangle that is 10m tall and 8m wide at the top. you can solve that by doing 4*10=40. the other triangle is 4m wide at the bottom and 2m tall. you can solve that by doing 2*4=8. and 40+8=48.
Solve for the rational exponent equation. Use factoring where necessary. If there is more than one answer, enter a comma separated list. x^3/4 = 8
Answers
Please look at the photo. Thank you!
Answers
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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5 customers entered a store over the course of 15 minutes. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
THE CORRECT ONE GETS BRAINLIEST
Answers
2. 2:6
when 5 customers entered the store, 15 minutes elapsed. the ratio here is 5:15, which simplifies to 1:3. (5/5 = 1; 15/5 = 3 —> 1:3)
when the minutes elapsed is 3, that means the customer amount must be 1, and when there are 2 customers, the amount of minutes that go by is 6. 1:3 —> 2:6 (multiply both numbers by 2). hope this helps.
what is the binary notation for the decimal number 12?
Answers
Answer:
1100
Step-by-step explanation:
8 = 1000
9 = 1001
10 = 1010
11 = 1011
12 = 1100
hope this helps :)
2x+3y 26
3x +2y 6
Any solutions
Answers
Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3
Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)
Answers
Answer: C
Step-by-step explanation:
Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?
Answers
All squares are quadrilaterals. True or false
Answers
Answer:
Step-by-step explanation:
yes because quadrilaterals have 4 sides and so do all squares
hope this answered your question
The set of odd numbers greater than 19 ? Infinite or finite
Answers
Answer: Infinite
Odd numbers are of the form 2n+1, where n is an integer
Solving 2n+1 > 19 leads to n > 9. There are infinitely many integers that make the inequality n > 9 to be true.
prove that -
\( \sin(3x) + \sin(2x) - \sin(x) = 4 \sin(x ) \cos( \frac{x}{2} ) \cos( \frac{3x}{2} ) \\ \)
thankyou ~
kindly move the screen to see the complete question ~
Answers
Let x = 2y. Then we want to show
sin(6y) + sin(4y) - sin(2y) = 4 sin(2y) cos(y) cos(3y)
Recall the angle sum identities,
sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)
cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)
which lets us write
sin(6y) = sin(4y + 2y) = sin(4y) cos(2y) + cos(4y) sin(2y)
sin(4y) = sin(2y + 2y) = 2 sin(2y) cos(2y)
cos(4y) = cos(2y + 2y) = cos²(2y) - sin²(2y)
Ultimately, we use these identities to rewrite the left side as
sin(6y) + sin(4y) - sin(2y)
= 2 (sin(4y) cos(2y) + cos(4y) sin(2y)) + 2 sin(2y) cos(2y) - sin(2y)
= 2 sin(2y) cos²(2y) + (cos²(2y) - sin²(2y)) sin(2y) + 2 sin(2y) cos(2y) - sin(2y)
Notice the underlined common factor of sin(2y). If we remove this from both sides of the identity we want to prove, then it remains to show that
2 cos²(2y) + (cos²(2y) - sin²(2y)) + 2 cos(2y) - 1 = 4 cos(y) cos(3y)
or
3 cos²(2y) - sin²(2y) + 2 cos(2y) - 1 = 4 cos(y) cos(3y)
Recall the Pythagorean identity,
cos²(x) + sin²(x) = 1
which lets us write
3 cos²(2y) - sin²(2y) + 2 cos(2y) - 1
= 3 cos²(2y) - (1 - cos²(2y)) + 2 cos(2y) - 1
= 4 cos²(2y) + 2 cos(2y) - 2
= 2 (2 cos²(2y) + cos(2y) - 1)
= 2 (2 cos(2y) - 1) (cos(2y) + 1)
Recall the half-angle identity for cosine,
cos²(x/2) = 1/2 (1 + cos(x))
which means
cos(2y) + 1 = 2 • 1/2 (1 + cos(2y)) = 2 cos²(y)
and so
2 (2 cos(2y) - 1) (cos(2y) + 1)
= 4 (2 cos(2y) - 1) cos²(y)
= 4 cos(y) (2 cos(2y) - 1) cos(y)
Now notice the underlined factor of 4 cos(y), which also appears in the right side of the identity we want to prove. Eliminate this term and all that's left is to show that
(2 cos(2y) - 1) cos(y) = cos(3y)
which follows from a combination of the identities I mentioned above:
(2 cos(2y) - 1) cos(y)
= 2 cos(2y) cos(y) - cos(y)
= 2 • 1/2 (cos(2y + y) + cos(2y - y)) - cos(y)
= (cos(3y) + cos(y)) - cos(y)
= cos(3y)
as required.
Trigonometric identities involve equations that use the trigonometric functions that are true for all variables in the equation
The identity is given as:
\(\sin(3x) + \sin(2x) - \sin(x) = 4\sin(x)\cos(\frac x2)\cos(\frac{3x}{2})\)
Let x = 2y.
So, we have:
\(\sin(6y) + \sin(4y) - \sin(2y) = 4\sin(2y)\cos(y)\cos(3y)\)
Expand
\(\sin(4y + 2y) + \sin(2y + 2y) - \sin(2y) = 4\sin(2y)\cos(y)\cos(3y)\)
Expand the identities using the angle sum identities,
\(\sin(4y)\cos(2y) + \cos(4y)\sin(2y) + 2\sin(2y)\cos(2y) - \sin(2y) = 4\sin(2y)\cos(y)\cos(3y)\)
Expand cos(4y) and sin(4y)
\(2\sin(2y)\cos^2(2y) + [\cos^2(2y) - \sin^2(2y)]\sin(2y) + 2\sin(2y)\cos(2y) - \sin(2y) = 4\sin(2y)\cos(y)\cos(3y)\)
Factor out sin(2y)
\(\sin(2y)[2\cos^2(2y) + \cos^2(2y) - \sin^2(2y) + 2\cos(2y) - 1] = 4\sin(2y)\cos(y)\cos(3y)\)
Evaluate the like terms
\(\sin(2y)[3\cos^2(2y) - \sin^2(2y) + 2\cos(2y) - 1] = 4\sin(2y)\cos(y)\cos(3y)\)
Substitute
\(\sin^2(2y) = 1 - \cos^2(2y)\)
\(\sin(2y)[3\cos^2(2y) - 1 + \cos^2(2y) + 2\cos(2y) - 1] = 4\sin(2y)\cos(y)\cos(3y)\)
Evaluate the like terms
\(\sin(2y)[4\cos^2(2y) - 1 + 2\cos(2y) - 1] = 4\sin(2y)\cos(y)\cos(3y)\)
\(\sin(2y)[4\cos^2(2y) + 2\cos(2y) - 2] = 4\sin(2y)\cos(y)\cos(3y)\)
Factor out 2
\(2\sin(2y)[2\cos^2(2y) + \cos(2y) - 1] = 4\sin(2y)\cos(y)\cos(3y)\)
Expand
\(2\sin(2y)[2\cos^2(2y) +2\cos(2y) - \cos(2y) - 1] = 4\sin(2y)\cos(y)\cos(3y)\)
Factorize
\(2\sin(2y)[2\cos(2y)( \cos(2y) + 1) -1( \cos(2y) + 1)] = 4\sin(2y)\cos(y)\cos(3y)\)
Factor out cos(2y) + 1
\(2\sin(2y)[( 2\cos(2y) - 1)( \cos(2y) + 1)] = 4\sin(2y)\cos(y)\cos(3y)\)
By half identity, we have:
\(\cos\²(\frac x2) = \frac 12 (1 + \cos(x))\)
Multiply both sides by 2
\(2\cos\²(\frac x2) = (1 + \cos(x))\)
Replace x with 2y
\(2\cos\²(y) = 1 + \cos(2y)\)
So, we have:
\(2\sin(2y)[( 2\cos(2y) - 1)( 2\cos^2(y))] = 4\sin(2y)\cos(y)\cos(3y)\)
\(4\sin(2y)(2 \cos(2y) - 1)(\cos^2(y)) = 4\sin(2y)\cos(y)\cos(3y)\)
Factor out cos(y)
\(4\sin(2y)(\cos(y)(2 \cos(2y) - 1)(\cos(y)) = 4\sin(2y)\cos(y)\cos(3y)\)
Expand
\(4\sin(2y)(\cos(y)(2 \cos(2y)\cos(y) - \cos(y)) = 4\sin(2y)\cos(y)\cos(3y)\)
Using the half identity, we have:
\(4\sin(2y)(\cos(y)(2 * \frac 12 *\cos(2y + y) + \cos(2y - y) - \cos(y)) = 4\sin(2y)\cos(y)\cos(3y)\)
\(4\sin(2y)(\cos(y)(\cos(3y) + \cos(y) - \cos(y)) = 4\sin(2y)\cos(y)\cos(3y)\)
\(4\sin(2y)\cos(y)\cos(3y) = 4\sin(2y)\cos(y)\cos(3y)\)
Recall that:
x = 2y
So, we have:
\(4\sin(x)\cos(\frac x2)\cos(\frac {3x}2) = 4\sin(x)\cos(\frac x2)\cos(\frac {3x}2)\)
Both sides of the equations are the same.
Hence, the identity \(\sin(3x) + \sin(2x) - \sin(x) = 4\sin(x)\cos(\frac x2)\cos(\frac{3x}{2})\) has been proved
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g(x) = –24 + 2x3 + 5x2 - 1
End of behavior
Answers
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
\(bit.^{}ly/3dXyuz8\)
On a number line, 7.05 would be located Choose all answers that make a true statement.
7.05
A. between 8 and 9
B. to the right of 7.02
C. to the left of 7.08
D. between 8.0 and 8.1
Answers
On a number line, 7.05 would be located
B. to the right of 7.02C. to the left of 7.08How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Number = 7.05
The analysis of its position s as follows:
A. between 8 and 9: False. 7.05 is to the left of 8 and is not between 8 and 9.B. to the right of 7.02: True. 7.05 is greater than 7.02, so it is to the right of 7.02 on the number line.C. to the left of 7.08: True. 7.05 is less than 7.08, so it is to the left of 7.08 on the number line.D. between 8.0 and 8.1: False. 7.05 is not between 8.0 and 8.1.So, the true statements are B and C.
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Round to the nearest hundredth (2 decimal places) when necessary
Answers
Answer:
volume = 693 m²
Step-by-step explanation:
volume = 21 x 33 = 693 m²
The following can be deposited in a savings account: (check all that apply)
1. Jewels
2. Cash
3. Paycheck
4. Coin
5. Checks
Answers
Answer: cash, paychecks, checks
Step-by-step explanation:
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The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 6 cm?
Answers
The rate at which the surface area is changing when r = 6cm is 96\(cm^{2}\)/min.
Surface area of SphereThe surface area of a sphere with radius r is given by4π\(r^{2}\)
Given;
S = surface area at time t, and r = radius at time t
radius of a spherical ball is increasing at a rate of 2 cm/min
radius: 6cm
Area of a sphere is A = 4π\(r^{2}\)
Step 1: Differentiate area of a spherical ball
A = 4π\(r^{2}\)
\(\frac{dA}{dt}\) =\(\frac{d}{dt}\)(4π\(r^{2}\))
=4π \(\frac{d}{dt}\)(\(r^{2}\))
=4π2r \(\frac{dr}{dt}\)
\(\frac{dA}{dt}\) = 8πr
since we have that dr/dt = 2 cm/min. Thus, the radius of the ball is 6cm, we have;
\(\frac{dA}{dt}\)= 8π(6)(2) =96π
So, the rate at which the surface area is changing when r = 6cm is 96\(cm^{2}\)/min.
Note that measuring area unit is cm2/min
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arrange 12 coins in four rows with four in each row
Answers
Answer:
3 coins each row
Step-by-step explanation:
if you put 3 coins in 4 rows it we'll be equivalent to 12
Which expression is represented by the model shown below?
brit of beau ad noo noiz
Srodeq nislame
Answers
Answer:
4*9
Step-by-step explanation:
It's obvious.
I do not understand how to do this?
Answers
Answer:
-8,-7
Step-by-step explanation:
I think
Answer:
try pressing the help button, it looks like it mightve glitched
Step-by-step explanation:
You are offered a job that pays $34,000 during the first year, with an annual increase of 5% per year beginning in the second year. That is, beginning in year 2, your salary will be 1.05 times what it was in the previous year. What can you expect to earn in your fourth year on the job?
In your fourth year on the job, you can expect to earn $______
(Round to the nearest dollar)
Answers
In your fourth year on the job, you can expect to earn $41,327.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =P(1+r/n)^rt
We are given that;
In this case, P = 34,000, r = 0.05, and n = 4.
Plugging these values into the formula, we get:
A = 34,000(1 + 0.05)^4
A = 34,000(1.05)^4
A = 34,000(1.2155)
A = 41,327
Therefore, by the simple interest the answer will be $41,327.
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Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
Answers
We know that he used 5/6 gallons of gas per hour of driving.
So, the total amount of gas he used is 5/6 * x.
We also know that he used a total of 5 3/4 gallons of gas.
So, we can set up the equation:
5/6 * x = 5 3/4
To solve for x, we can first convert 5 3/4 to an improper fraction:
5 3/4 = 23/4
Then, we can multiply both sides of the equation by the reciprocal of 5/6:
x = (5 3/4) / (5/6)
x = (23/4) / (5/6)
x = (23/4) * (6/5)
x = 27.6/4
x = 6.9
Therefore, Pablo was driving for a total of 6.9 hours.
brainliest???
Find the area of the hexagon
Answers
Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)
How to find the area of Hexagon ?Hexagons are polygons with six sides and six angles.
Six equilateral triangles make up a regular hexagon, which has six equal sides and six angles. Whether you're dealing with an irregular hexagon or a standard hexagon, there are numerous approaches to figure out the area of a hexagon.
The area of hexagon formula can be calculated in a number of different ways. The various techniques primarily depend on the hexagon's spitting motion.
It can be split into two triangles and one rectangle, or six equilateral triangles. We shall examine numerous approaches to calculating the hexagon's surface area in this post.
According to the given information
Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)
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The heights of the starting players on each of two basketball teams are shown in the table below. Heights of Starters on Team A and Team B Team A 70 in. 72 in. 75 in. 68 in. 70 in. Team B 71 in. 73 in. 71 in. 72 in. 73 in. Jacob found that the mean height of Team A is 71 and the mean height of Team B is 72. He believes that because Team B has a greater mean, it also has a greater mean absolute deviation. Which explains Jacob’s error?
Answers
Answer:
The correct answer should be A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Find a, b & c value
Answers
The value of a, b and c are found as 6, 10 and 2 respectively.
Explain about the exponents of the number?Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.
For instance, 43 instructs you to divide by three the number four. The base of a power is the integer being increased, and the exponent or power is the superscript number it above base.A number's exponent shows the amount of times the number has been multiplied by itself.The given expression is;
\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)
Solving expression using the law of indices.
\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)
\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)
Comparing powers of both sides:
a = 6
8 = b-2 : b = 10
c = 2
Thus, the value of a, b and c are found as 6, 10 and 2 respectively.
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