Wavelength is the ratio of speed and frequency. The wavelength of yellow light is 5.8 × 10⁻⁷ m. Then the correct option is A.
What is division?The division means the separation of something into different parts, sharing of something among different people, places, etc.
Yellow light has a frequency of 5.2 × 1014 Hz and travels at a speed of 3.0 × 108 m/s. Then the wavelength is given as
[tex]\lambda = \dfrac{v}{f}\\\\\\\lambda = \dfrac{3.0 \times 10^8}{5.2 \times 10^{14}}\\\\\\\lambda = 5.76\times 10 ^{-7} \approx 5.8 \times 10 ^{-7}[/tex]
More about the division link is given below.
https://brainly.com/question/369266
Answer:
A
Step-by-step explanation:
Marcus is ordering supplies online for his dog. He plans to order a collar for $6.76 and some bags of treats for $4.80 each. The total for his order must be more than $25 to qualify for free shipping.
Answer:
25 < 6.76 + 4.80t
Step-by-step explanation:
The order has to be over 25 dollars so 25 dollars is less than the order.
He spends 6.78 dollars for a collar, so that will be part of the order. We don't know what the total cost of all the treats is, but we know that it is 4.80 dollars per bag. So 4.80t represents the cost for t amount of treat bags.
Step-by-step explanation:
Write a ratio that simplifies to 3:4
What is the sum of the first 11 terms in the arithmetic sequence if the first term is -3 and the common difference d is 5.
a.
152
b.
352
c.
402
d.
242
Answer:
d. 242..................
Answer:
d
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 5, thus
[tex]S_{11}[/tex] = [tex]\frac{11}{2}[/tex] [ (2 × - 3) + (10 × 5) ]
= 5.5(- 6 + 50)
= 5.5 × 44
= 242 → d
How many cubic millimeters are in one cubic kilometer?
Answer:
I think 1000000000000000000
Step-by-step explanation:
Hope it's right
Answer:
it is 10000
Step-by-step explanation:
4 to the power of 3 times 4 to the power of -1
Answer:
16 or (4^2)
Step-by-step explanation:
4^3 * 4^-1
When multiplying exponents with the same bass, the exponents themselves can be added.
3 + -1 = 2
4^2 = 16
16 is your answer!
Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers.
Answer:
y = 1/10x+60.
Step-by-step explanation:
Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers. The correct answers are: The y-intercept of the function is $60. The function can be represented by the equation y = 1/10x+60.
Hope it helps!!!Brainliest pls!!!can you please help me?
Which of the following can be used to show that these triangles are congruent?
Which of the following is a simpler form of the expression startfraction sine (theta) secant (theta) over cosine (theta) tangent (theta) endfraction? sec theta cos theta csc theta tan theta
The simpler form of the expression [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex] is [tex]\\\rm sec\theta[/tex].
It is given that the expression [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]
It is required to find the simpler form from the given options.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have the expression:
[tex]\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]
We know:
[tex]\rm cos\theta = \frac{1}{sec\theta} \\\\\rm tan\theta = \frac{sin\theta}{cos\theta}[/tex]
By using these trigonometry formulas, we get:
[tex]\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}\\\\\rm= \frac{sin\theta }{(cos\theta) (cos\theta) \frac{sin\theta }{cos\theta} }\\\\\rm= \frac{1}{cos\theta} \\\\\rm = sec\theta[/tex]
Thus, the simpler form of the expression [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex] is [tex]\\\rm sec\theta[/tex].
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Answer:
option A: sec Ø
Step-by-step explanation:
$1.00 is worth 0.73 Swedish franc. How much is 12145 Canadian dollars in
francs.
Answer:
$8,865.85
Step-by-step explanation:
12145 multiplied by 0.73 = 8865.85
A sheet of origami paper is in the shape of a square with a side length of 7 inches, as shown. What is the area of the sheet of origami paper? A square has side lengths of 7 inches. Use the formula for the area of a square, A = s squared, where A represents the area and s represents the side length. 14 Inches squared 28 Inches squared 49 Inches squared 98 Inches squared
Answer:
Its 49 inches.
Step-by-step explanation:
We know that a squares has 4 equal sides, therefor: all sides equal 7 inches.
To find the area, multiply 7x7- which is 49.
Formula: A=s squared -> 49=7 squared
Hope this helps, brainliest is always appreciated! :)
Have a great day! cx
~Mitsuna
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTIONN!!!!!!!
Answer:
81
Step-by-step explanation:
13/-13=-1+10=9
9*9=81
Answer:
81
Step-by-step explanation:
A human hair has an average diameter of about 0.000017 meter. Write this measurement in scientific notation.
Answer: 1.7 x 10-5
Step-by-step explanation:
please help me omggggg
Answer:
the third one, EF = RQ or FD=QS
Answer:
it is the third box
hope this helps
If is an angle in standard position and its terminal side passes through the point
(-1,-8), find the exact value of tan in simplest radical form.
Check the picture below.
Which fraction is equivalent to 12⋅43÷56?
Answer:
9/3
Step-by-step explanation:
12x43=168
168 divided by 56=3
plot the graph of y=cos x
Step-by-step explanation:
[tex]\displaystyle \boxed {y = sin\:(x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = sin\:x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = sin\:(x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a wourd problem to wourk with, you MUST use the above formula for calculating the period. Onse you do that, the rest should be easy. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Answer:
Step-by-step explanation:
Cosine is a trigonometric function defined as the ratio of length of adjacent side and the hypothesis in a right-angle triangle.
It is a periodic function with a period of 2pi.
Graph of its plot is attached.
Slove for x to the nearest tenth
Step-by-step explanation:
Let me start off by saying that 1 unit side is absolutely useless.
You can translate the 6 unit side downwards, so now we have a right isosceles triangle of 2 equal sides which are 6
The hypotenuse is given here by x.
Applying the Pythagorean theorem i can then say;
[tex]x {}^{2} = 6 {}^{2} + 6 {}^{2} [/tex]
[tex]x {}^{2} = 36 + 36[/tex]
[tex]x {}^{2} = 72[/tex]
[tex]x = \sqrt{72} = 6 \sqrt{2} = 8.485[/tex]
x=8.5
rounded to the nearest 10 :)
Two species of birds are being compared. Species A can fly 18.9 miles in 42 minutes, while species B can fly 20.3 miles in 58 minutes. Which species is slower, and at what speed can it fly?
A Species A is slower, and it can fly 0.35 miles per minute.
B Species A is slower, and it can fly 0.45 miles per minute.
C Species B is slower, and it can fly 0.35 miles per minute.
D Species B is slower, and it can fly 0.45 miles per minute.
100 POINTS
Answer:
Option C .
Step-by-step explanation:
Here it is given that there are two species of birds which fly at different rates.
Species A can fly 18.9 miles in 42min .Species B can fly 20.3miles in 59min .We can use the formula here ,
[tex]\longrightarrow \red{ Speed =\dfrac{Distance} {Time} }[/tex]
For Species A :-
Substitute the respective values in stated formula ,
[tex]\longrightarrow v_A = \dfrac{18.9\ miles}{42min}\\[/tex]
Simplify ,
[tex]\longrightarrow v_A = 0.45\ miles / min [/tex]
For species B :-
Substitute the respective values in stated formula,
[tex]\longrightarrow v_B =\dfrac{20.3\ miles}{58min}\\ [/tex]
[tex]\longrightarrow v_B = 0.35\ miles / min [/tex]
Therefore from above calculations we can say that ,
[tex]\underline{\underline{ v_A > v_B }}[/tex]
Species B is slower and it can fly 0.35miles/minute .
H 125°
D 180
3. A triangle has two sides that have lengths of
14 feet and 22 feet. Which of the following
lengths could not represent the length of the
third side?
A 8 ft
B 12 ft
c) 14 ft
(D) 20 ft
Step-by-step explanation:
14 ft hope this hellped ask again
100 points. Please help. I'll give brainliest.
A: 95 people dislike both
B: 81
C: 21
Answer:
Thanks for the points!!
Step-by-step explanation: dawggggggg
SHOW WORK
To make purple paint, we need to maintain a 3:2 ratio of red paint to blue paint. Red paint costs $20 a gallon and blue paint costs $25 a gallon. A coupon gives a 10% discount on red paint and a 20% on blue paint. If you have $500 for paint, what is the maximum amount of red blue paint you can buy to make purple paint?
Answer:
red (w/discount) ... $18 per gallon
blue (w/discount) ... $20 per gallon
(3 n * 18) + (2 n * 20) ≤ 500
54 n + 40 n ≤ 500 ... 94 n ≤ 500 ... n ≤ 5 15/47
3 n = 15 gal red ... 2 n = 10 gal blue
Find the volume of each figure. Round your answers to the nearest tenth if necessary.
SHOW ALL WORK
Hey there!
Volume= (l)(w)(h)
=> 6cm × 5cm × 7cm
=> 210cm[tex] {}^{5} [/tex]
Therefore, Volume = 210cm[tex] {}^{5} [/tex]
In Exercises 15-18, find the measure of the exterior
angle. (See Example 3.)
15.
75°
64°
2
Applying the exterior angles theorem, the measure of the exterior angle is: m∠2 = 139°.
What is the Exterior Angles Theorem?The exterior angles theorem states that the measure of the two remote angles in a triangle is equal to the measure of the exterior angle of a triangle.
Thus:
75° and 64° are remote interior angles.
Therefore:
m∠2 = 75° + 64°
m∠2 = 139°
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What is the scale factor from Figure A to Figure B? PLEASE HELP
Answer:
Its 3 bro
Step-by-step explanation:
my guy A is just B scaled 3 times, every number on B times 3 equals their counterpart in A
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
a.25 mi
b. 60 mi
c. 150 mi
d. 300 mi
2 determinar el valor del patrimonio con los siguientes datos Caja= 10,000 Bancos= 13,500 Cuentas por pagar= 8,000 Documentos por pagar= 4,000 Equipos de computación= 2,400 Documentos por cobrar= 5,100 Intereses por pagar= 1,200 es contabilidad pero no se cual es en ingles
Answer:
PN= $17,800
Step-by-step explanation:
La formula general para calcular el activo de una empresa es la siguiente:
A= PN + P
El activo es igual al patrimonio neto y el pasivo.
Debemos intercambiar los términos:
PN= A - P
Activo:
Caja= 10,000
Bancos= 13,500
Equipos de computación= 2,400
Documentos por cobrar= 5,100
Pasivo:
Cuentas por pagar= 8,000
Documentos por pagar= 4,000
Intereses por pagar= 1,200
PN= 31,000 - 13,200
PN= $17,800
Which of the following is the equation of a line in slope intercept form for a line with slope =1/3 and y intercept at (0,-4)
A. Y= -1/3x - 4
B. X= 1/3y - 4
C. Y= 1/3x + 4
D. Y= 1/3x - 4
The linear function with slope of 1/3 and y-intercept at (0,-4) is given as follows:
D. y = x/3 - 4.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.The intercept has coordinates (0,b).The parameters for this problem are given as follows:
m = 1/3, b = -4.
Hence the function is given as follows:
D. y = x/3 - 4.
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determine which of the following are arithmetic
1/4, 3/4, 5/4 , 7/4 , 9/4 ,
80, 70 , 60 ,50 ,40
100, 50, 25 , 12.5
1,2,4,8,16
2/3, 4/3, 8/3 16/3, 32/3
5,10,15,20,25
Step-by-step explanation:
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence. The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.
The scale of a map says that 8 cm represents 5 km. What distance on the map in centimeters representan 5 km
Answer:
8cm
Step-by-step explanation:
8cm = 5km
5km = 8cm
therefore 8cm represent 5km on the map