drag the gray arrow so that it is pointing midway between horizontal and vertical, heading downward and toward the right. extend it as far as it will go. what do you notice about the speed of the star as compared to the speed of the star relative to earth?
Answers
The speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.
A star moving away from the observer (say on Earth) will have its emitted light red-shifted (move to lower frequency), i.e., the spectrum moving to left if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.
A star moving towards the observer (say on Earth) will have its emitted light blue-shifted (move to higher frequency), i.e., the spectrum moving to the right if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.
A star moving perpendicular to the observer (say on Earth) will have its emitted light will no change with respect to the spectrum of the stationary star.
These are due to the Doppler effect, the equation of frequency detected by the observer as
\(f_{0} = f_{s}\sqrt{\frac{1-\beta }{1+\beta } }\) where \(\beta = \frac{v}{c}\), v the relative velocity of the moving source (the star here), f^s is the frequency of light emitted by the source.
Hence the answer is the speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.
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Related Questions
A suitcase is a rectangular prism whose dimensions are 1 1/4 feet by 1 1/2 feet by 2 1/4 feet. Find the volume of the suitcase. Tell me the answer as a mixed number in simplest form.
Use the formula: V= lwh
Good luck!
Answers
Answer:
V = 4.22ft^3
Step-by-step explanation:
Length: 2.25ft
Width: 1.5ft
Height: 1.25ft
Length x Width x Height = V
2.25 x 1.5 x 1.25 = 4.22ft, since we're dealing with volume of a 3D space, the answer is 4.22ft^3!
let a (x)=3x^3-4x^2+x, and b(x)=x^2+2
Divide polynomials with remainders
Answers
a(x) = b(x) * (3x² - 10x + 21) + (8x - 8)
Polynomial Division with RemaindersTo divide the polynomial a(x) by b(x), we can use long division as follows:
3x - 6
-------------------
x² + 2 | 3x² - 4x² + x
- (3x³ + 0x²)
---------------
-4x² + x
- (-4x² - 8)
-------------
8x - 8
Therefore, the quotient is 3x - 6, and the remainder is 8x - 8.
We can write the result of the division as:a(x) = b(x) * (3x - 6) + (8x - 8)
Alternatively, we can use synthetic division to get the same result:-2 | 3 -4 1 0
| -6 20 -42
|-------------
| 3 -10 21 -42
The numbers on the bottom row represent the coefficients of the quotient, which are 3, -10, 21. The last number on the bottom row, -42, is the remainder. Therefore, the quotient is:
3x² - 10x + 21
And the remainder is:8x - 8
We can write the same result as before:a(x) = b(x) * (3x² - 10x + 21) + (8x - 8)
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How many lengths of ribbons 18 centimeters long can be cut from a length of 3.6 meters?
Answers
20 ribbons can be cut from the 3.6m length of ribbon.
1m=100 cm
lengths of ribbons 18 centimeters long can be cut from a length of 3.6 meters
number of ribbons = 360/18
=20
20 ribbons can be cut from the 3.6m length of ribbon.
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I need this today. Which two integers is 37 square root between?
Answers
Answer:
The square root of 37 is approximately 6.0827. To determine which two integers it lies between, we can find the integers that are closest to the square root of 37.
The integer that is smaller than 6.0827 is 6, and the integer that is larger than 6.0827 is 7.
Therefore, the square root of 37 is between the integers 6 and 7.
if tanθcscθ = 3, find the value of cosθ
Answers
Answer:
1.5
Step-by-step explanation:
\(\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}\)
Let's Solve :
\( \tan( \theta) \csc(\theta) = 3\)\( \dfrac{ \sin(\theta) }{ \cos(\theta) } \times \dfrac{1}{ \sin(\theta) } = 3\)\( \dfrac{1}{ \cos( \theta) } = 3\)\( \cos(\theta) = \dfrac{1}{3} \)_____________________________
\(\mathrm{ \#TeeNForeveR}\)
Ashley wants to know how much wrapping paper is needed to cover a box with the dimensions shown.
Answers
Answer:D 175 square inches
Step-by-step explanation: 5x5=25x7=175
please help ASAP!
The owners of the resort want to expand and build a row of condos at the western base of the mountain. Because of the amount of snow, the area gets most winters, it is important to have the pitch (steepness) of the roof of each condo at least 60°. To make the condos appealing to skiers and boarders, they want to model the condos after their cabins, but on a larger scale. The cabins have an A-line roof that forms an isosceles triangle as shown, with the base angles at 65°. The base length is 8m. Note: the slant height is the length of the side of the roof. Hint: Lesson 4.03, pages 261 268 in the resource guide Diagram absied correctiv IME Part A What is the slant height of the roof of the cabin? Round to the nearest tenth of a meter. Part B The roofs of the condos to be built will have a base length of 10.6 m. What will the slant height of the roof be on one of the houses? Round to the nearest tenth of a meter. Cabin Condo 65° 70" Appropriate work CONTACT THE ACTION DE NO Correct answer Kombed correcthy, jahel Styles
Answers
A. The slant height of the roof of the cabin is approximately 4.41 meters.
B. The slant height of the roof for one of the condos will be approximately 5.84 meters.
How did we get the values?To find the slant height of the roof of the cabin, use the properties of an isosceles triangle. In this case, the base angles of the triangle are 65° each, and the base length is 8m.
Part A: Slant height of the cabin roof
To find the slant height, use the sine function. The formula for the slant height (s) in terms of the base length (b) and the base angle (A) is:
s = b / (2 x sin(A))
Substituting the values:
A = 65°
b = 8m
s = 8 / (2 x sin(65°))
Using a calculator, we find:
s ≈ 8 / (2 x 0.9063) ≈ 4.41m
Therefore, the slant height of the roof of the cabin is approximately 4.41 meters.
Part B: Slant height of the condo roof
For the condo roofs, the base length is given as 10.6m.
Using the same formula as before:
A = 65°
b = 10.6m
s = 10.6 / (2 x sin(65°))
Using a calculator:
s ≈ 10.6 / (2 x 0.9063) ≈ 5.84m
Therefore, the slant height of the roof for one of the condos will be approximately 5.84 meters.
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Find the slope of the line that passes through A(3 , 7) and B(2, 2).
Answers
Answer:
5
Step-by-step explanation:
To find the slope, we will use this equation.
\(\frac{y_{2} - y_{1} }{x_{2} - x_{1} } = m\)
m = slope
When we plug in the values of y2, y1, x2, and x1, we get this:
\(\frac{2-7}{2-3} = m\)
when we simplify:
\(\frac{-5}{-1}\)
-5 / -1 = 5 / 1 = 5
The slope is 5.
Evaluate the expression below when x = 4 and y = 12.
5х^2 — Зу
Answers
Answer:
44
Step-by-step explanation:
x = 4 and y = 12.
5х² - 3у
20x - 3y
80 - 36
44
Mr. Johnson sells erasers for $3 each. He sold 96 last week and he sold 204 this week. About how much more money did he make this week?
Answers
Answer:
He makes $324 more this week than last week.
Step-by-step explanation:
Answer:
$324 More
Step-by-step explanation:
Last week he made a total of $244 ($3 times 96)
This week he made a total of $612 ($3 times 204)
$612 minus $244 equals $324
Use the formula for continuous compounding to compute the balance in the account 1, 5, and 20 years. Also, find APY for the account. A 10,000 deposit in an account with an APR of 3.5%.
Answers
We are given the following information:
Deposit = $10,000
APR = 3.5% = 0.035
The balance in the account is given as shown below:
\(undefined\)What are the x and y intercepts for 2x+y=2
What are the x and y intercepts for 2x-3y=18
pleaseee help now !!!
Answers
Answer:
2x-3y=18
Intercepts are (9,-6)
2x+y=2
intercepts are (1,2)
How do you graph a quadratic form?
Answers
The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
The graph of quadratic functions is a technique to study the nature of the quadratic functions graphically. The shape of the parabola is determined by the coefficient 'a' of the quadratic function f(x) = ax2 + bx + c, where a, b, c are real numbers and a ≠ 0.
the vertex of a quadratic function is. \(f(x)=a(x-h)^2+k, where (h,k)\) is the vertex of parabola. When a>0 then function will be open upward if a<0 then function will be opens downward.
Steps to plot graph of quadratic function.
a\(x^2\) is imply a vertical scaling of the parabola, if a<0 the parabola will also flip its mouth from the positive to negative side.
\(a(x+\frac{b}{2a} )^2\) This is a horizontal shift of magnitude |\(\frac{b}{2a}\)| units. The direction of the shift will be decided by the sign of b/2a. The new vertex of the parabola will be at (-b/2a,0).
This transformation is a vertical shift of magnitude |\(\frac{D}{4a}\)| units. The direction of the shift will be decided by the sign of \(\frac{D}{4a}\). The final vertex of the parabola will be at (\(\frac{-b}{2a} ,\frac{-D}{4a}\)).
So, The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
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9. How many perpendiculars can we draw to a line from a given point outside the line?
O A. 3
O B. 2.
O C.O
D. 1
Answers
Answer:
The answer is D. 1. You can form only 1 perpendicular line.
Look at this square. Find the value of
S.
S
Perimeter = 16 miles
S =
miles
Answers
The value of S, which represents the length of each side of the square, is 4 miles.
To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.
Perimeter = 4 × S
Given that the perimeter is 16 miles, we can substitute this value into the equation:
16 = 4 × S
To solve for S, we divide both sides of the equation by 4:
16 ÷ 4 = S
4 = S
Therefore, S, which stands for the square's side lengths, has a value of 4 miles.
So, S = 4 miles.
This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.
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Rewrite the radical expression as an expression with a rational exponent.
\( \sqrt[4]{ \times 5?} \)
A.
\( {x}^{ \frac{5}{4} } \)
B.
\( {x}^{20} \)
C.
\(x\)
D
\( {x}^{ \frac{4}{5} } \)
Answers
Answer:
B
Step-by-step explanation:
simply the equation-2(-3 + 2z)
Answers
Simply the equation -2(-3 + 2z)
6 − 4z
Find two linearly independent solutions of 2x²y" - xy' + (-4x + 1)y = 0, x > 0 of the form
Y₁ = x" (1+ a₁x +а2x² +аzx³ +...)
y₂ = x2 (1+b₁x + b²x² + b²x² + ...)
where ri > T2.
Enter
T1 =
a1 =
a2 =
a3 =
r2 =
b1 =
b2 =
b3 =
Answers
2.
Step-by-step explanation:
T1 = 0
a1 = -1/4
a2 = -1/8
a3 = -1/16
r2 = 1
b1 = 1/2
b2 = 1/8
b3 = 1/48
21 cm by 18cm by 15 cm what will the total sq cm
Answers
Answer:
5670 \(cm^{3}\) will be your answer!
Step-by-step explanation:
21 x 18 x 15 = 5670
How many F ratios (i.e. F statistic values) are figured in a two-way analysis of variance known as a 2x2 Factorial Design?
a) as many as there are cells in the design
b) 2
c) 3
d) 1
Answers
Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.
How many F ratios in a 2x2 Factorial Design?In a two-way analysis of variance (ANOVA) known as a 2x2
factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.
The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.
There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.
This F ratio assesses the joint influence of both independent variables.
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Consider the sets below.
A{x|x is a polygon}
B {x|x is a triangle)
Which is true?
1.А СВ
2.BCA
3. Aᴄ= B
4.Bᴄ=A
Answers
Considering the sets, the statement which is true is 2. B ⊂ A
To answer the question, we need to know what polygons and sets are
What are polygons?Polygons are plane shapes bounded by n sides. The number of sides determines the type of polygon.
Types of polygonsSome types of polygons include
Triangles - These are 3 sided polygonsSquares - These are 4 sided polygonsPentagons - These are 5 sided polygonsFrom this, we see that a triangle is a polygon with 3 sides.
What is a set?A set is a collection of similar items.
Since
set A = {x|x is a polygon} and set B {x|x is a triangle),We see that B ⊂ A. Since triangles are 3 sided polygons.
So, the statement which is true is 2. B ⊂ A
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the number of pupils in a school rises by 8%. There used to be 850 pupils. how many are there now?
Answers
Answer:
Answer: There are 918 pupils now.
• Rise in percentage:
\( \dashrightarrow \: { \tt{(100 \% + 8\%) = 108\% }}\)
• let current number of pupils be n
\({ \tt{n}}\dashrightarrow \: { \tt{108\% \times 850}} \\ \\ { \tt{n = \frac{108}{100} \times 850}} \\ \\ { \tt{n = 918 \: pupils}}\)
A student walks 10 km in 150 mins. What's the students average speed in Km/in
Answers
Answer:
The answer is 15 km/in
Step-by-step explanation:
150 divided by 10 is 15.
Therefore the answer is 15 km/in.
What would be the new coordinates of W' after a dilation of 3? W
Answers
The new coordinates would be
W' (12 , 6)
X'( 24 , 18 )
Z'(24 ,6 )
What exactly does coordinate geometry mean?
The term "coordinate geometry" refers to the study of geometry using coordinate points (or analytic geometry). Calculating distances between points, segmenting lines into m:n pieces, finding a line's midpoint, figuring out a triangle's area in the Cartesian plane, and other operations are all achievable with coordinate geometry.
Remember that the rule for a dilation by a factor of k about the origin is
(x,y) = (kx, ky)
Identify the coordinates of the points W, X and Z. Then, apply a dilation by a factor of 3 about the origin to find W', X' and Z', the new coordinates after the dilation.
w = (4,2)
x = ( 8, 6 )
z = ( 8,2)
Apply a dilation by a factor of 3:
W(4,2) ⇒ W'(3 * 4, 3 * 2) = W' (12 , 6)
X(8 ,6 ) ⇒ X'(3 * 8 , 3 * 6 ) = X' ( 24 , 18 )
Z(8 , 2 ) ⇒ Z'(3*8 , 3 * 2) = Z'(24 ,6 )
Therefore, the new coordinates would be
W' (12 , 6)
X'( 24 , 18 )
Z'(24 ,6 )
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A circle has a center of (-3, -4) and the endpoints of a diameter of the circle are (0, 2) and (-6, -10). What is the equation of the circle
Answers
Answer:
henxe required equation of circle is solved
Giving brainlist to whoever answers
Answers
Answer:
420
Step-by-step explanation:
volume = length x width x height
12 x 5 x 7 = 420
5 x 7 x 12= 420
4. Car dealer Lisa Kovach paid 82% of a car's options totaling $3,098. She paid 85% on a base price of $15,480.
The destination charge was $890. What is the dealer's cost?
a. $13,158.00
b. $16,588.36
c. $18,020.36
d. $19.001.20
Answers
Part (c) is the correct option i.e. The total dealer's cost is $16588.36.
What is Percentage ?
Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given, Cost paid for car's options = 82 % $3,098 = $2540.36
Cost paid for base price = 85 % $15,480 = $13158.
Destination charge = $890
∴ The total dealer's cost will be :
= Cost paid for car's options + Cost paid for base price + Destination charge
= $2540.36 + $13158 + $890
= $16588.36.
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Find the area of the surface generated when the given curve revolved about the x -axis. y = 8 √ x on [ 9 , 20 ]
Answers
When the curve y = 8√x on [9, 20] is revolved around the x-axis, the area of the surface generated is 120π.
The surface area of revolution can be obtained by integrating 2π(y) √(1+ (dy/dx)²) dx over the given interval. In this case, y = 8√x, and (dy/dx) = 4/√x.
∴ The surface area is given by:
S = ∫209 (2πy √(1+ (dy/dx)²) dx)
= 2π ∫209 y √(1+ (dy/dx)²) dx
= 2π ∫209 8√x √(1+ (4/√x)²) dx
= 16π ∫209 x √(16 + x) dx
= 16π ∫(209)18 (u-16)² du (where u = x + 16)
After simplification,
S = 16π × 2/3 (u-16)×(3/2) |_9×20
= 32π (16×(3/2) - 8×(3/2))
= 120π (approximately)
Hence, the surface area generated is 120π.
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1) Lesson 9 Practice Problems An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. a. What scale is being used for the image? b. How tall is the actual book? Show your work.
Answers
We have:
Image of book on website
Wide = 1.5 inches
Tall = 3 inches
Actual book
Wide = 9 inches
Tall = ?
a) Scale used for the image:
\(\frac{wide\text{ actual book}}{wide\text{ image book}}=\frac{9}{1.5}=6\)Answer: scale = 6 inches
b) Tall actual book
\(\text{tall image book }\times scale=3\times6=18\)Answer: tall = 18 inches
Does anyone know the answer ?!?
Answers
Answer:
40/100 = .4 = 40%
Step-by-step explanation: