Answer:
(A) [tex]4.9\times 10^{-7}\ m[/tex]
Step-by-step explanation:
Given:
Frequency of the wave (f) = [tex]6.1\times 10^{14}\ Hz[/tex]
Speed of the wave (v) = [tex]3.00\times 10^8\ m/s[/tex]
The wavelength equation of the wave is given as:
[tex]\lambda=\dfrac{v}{f}[/tex]
Here, [tex]\lambda \to wave\ wavelength[/tex]
Now, plug in the given values and simplify.
[tex]\lambda=\frac{3\times 10^8}{6.1\times 10^{14}}\\\\\lambda=4.9\times 10^{-7}\ m[/tex]
Therefore, the wavelength of the wave is option (A) [tex]4.9\times 10^{-7}\ m[/tex]
What is Y equals negative 2X plus 6 in standard form
Answer:
2x + y - 6 = 0
OR 2x + y = 6
Step-by-step explanation:
First write the equation given in the problem:
y = -2x + 6 This is in slope-intercept form (y = mx + b).
Standard form is written Ax + By + C = 0. When C is a negative number, you might also see it as Ax + By = -C.
The main difference between the two forms in that slope-intercept form isolates the 'y' whereas standard form equates to 0. Don't confuse the 'b' in standard from with the 'B' in slope-intercept form.
To convert from slope-intercept form to standard form, move everything over to the side with 'y'. When you move something, you do its reverse operation to the whole equation. (The reverse of addition is subtraction, the reverse of multiplication is division.)
y = -2x + 6 Do the reverse operations for -2x and +6
y + 2x - 6 = -2x + 2x + 6 - 6 Add 2x and subtract 6 on both sides
y + 2x - 6 = 0 Right side cancels out to be '0'.
2x + y - 6 = 0 Rewrite with the 'x' in front of the 'y'
Here you can see the new equation and what each variable in Ax + By + C = 0 is.
A = 2
B = 1 When a number is not written with the variable, it is 1.
C = -6
Some teachers ask it to be rewritten as Ax + By = -C when 'C' is a negative number.
2x + y = 6
The $130 fishing rod was first marked down 40 percent, and now it’s an additional 25 percent off. How much will it end up costing
Answer:$58.50
Step-by-step explanation:
The price was 130
With 40% off
Which reads out in this format
40/100*130= 52 dollars off the real price
130-52=78 dollars
Then later reduce by 25 percent
Now the price is 78 dollars
25/100*78= 19.5 dollar off the new price
So the real price will be
78-19.5=$58.5
What is the answer to 18-1/2-1/3
Answer:103/6
Step-by-step explanation:
All numerators above least common denominators 6
108-3-2/6
Calculate difference
103/6
Which expression is equivalent to StartRoot StartFraction 25 x Superscript 9 Baseline y Superscript 3 Baseline Over 64 x Superscript 6 Baseline y Superscript 11 Baseline EndFraction EndRoot? Assume x Greater-than 0 and y > 0.
Answer:
[tex]\displaystyle \frac{5x}{8y^{4}}\sqrt{x}[/tex]
Step-by-step explanation:
Simplfy in Algebra
We have the following expression
[tex]\displaystyle E=\sqrt{\frac{25x^9y^3}{64x^6y^{11}}}[/tex]
Simplifying like factors in the denominator and numerator
[tex]\displaystyle E=\sqrt{\frac{25x^3}{64y^{8}}}[/tex]
All the factors are perfect squares except [tex]x^3[/tex], thus we rewrite:
[tex]\displaystyle E=\sqrt{\frac{25xx^2}{64y^{8}}}[/tex]
Taking the square root of all the perfect square factors:
[tex]\boxed{\displaystyle E=\frac{5x}{8y^{4}}\sqrt{x}}[/tex]
Answer:
D On edge.
Step-by-step explanation:
Its Very Simple i Took it just now :D
Of the 350 people surveyed recently in New York, 68% said they prefer to vacation in Florida. Find the number preferring to vacation in Florida..
Answer:
238 is the answer
Step-by-step explanation:
68 percent of 350 is 238
-DH
The number preferred to vacation in Florida is 238.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that, of the 350 people surveyed recently in New York, 68% said they prefer to vacation in Florida.
The number of people will be calculated as,
N = 68% of 350
N = ( 68 x 350 ) /100
N = 238
Therefore, the number preferred to vacation in Florida is 238.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
write the following comparison as a ratio reduced to lowest terms. 36 nickels to 30 dimes
Answer:
6:5
Step-by-step explanation:
because 30 and 36 can both be divided by 6;
36/6= 6
30/6= 5
so the ratio is 6 to 5
The ratio of 36 nickels to 30 dimes, reduced to its lowest terms, is 6:5.
To write the comparison of 36 nickels to 30 dimes as a ratio reduced to its lowest terms, we need to find the greatest common divisor (GCD) of 36 and 30 and then divide both numbers by the GCD.
Step 1: Find the GCD of 36 and 30:
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.
The common factors are 1, 2, 3, and 6. The greatest common divisor (GCD) is 6.
Step 2: Divide both numbers by the GCD (which is 6):
36 ÷ 6 = 6
30 ÷ 6 = 5
The reduced ratio is 6:5.
So, the ratio of 36 nickels to 30 dimes, reduced to its lowest terms, is 6:5.
To know more about ratio:
https://brainly.com/question/14494733
#SPJ2
Write an equation for a direct variation that includes the point (4, 16)
Answer:
therefore for direct variation that will include the point (4, 16) is y = 4x
Step-by-step explanation:
i) for direct variation we can say that y = k [tex]\times[/tex] x
ii) substituting the given values of x and y into the equation in i) we get
16 = k [tex]\times[/tex] 4
Therefore k = [tex]\frac{16}{4}[/tex] = 4
iii) therefore for direct variation that will include the point (4, 16) is y = 4x
which function represents the inverse function below? please help
Answer:
C
Step-by-step explanation:
f(x) = 3x + 5
Let y = 3x + 5
3x = y - 5
x = y/3 -5/3
The inverse of the function is
g(x) = x/3 - 5/3
Which graph shows a dilation of a rectangle with a scale Factor of 1/3?
Answer:
The first picture corresponds the correct dilation by a scale of factor of 1/3 as the image rectangle is reduced and has the coordinates (-2, 0), (0, 2), (2, 0), and (0, -2) after a rectangle is dilated by a scale of factor of 1/3.
Step-by-step explanation:
A dilation is said to be a transformation which generates an image that is the same shape as the original object, but has a different size.
If the scale factor is greater than 1, then the image will be enlarged. In other words,
scale factor > 1, image will be enlargedIf the scale factor is greater than 0 but less than 1, then the image will be reduced. In other words,
0 < scale factor > 1, the image will be reducedConsidering the quadrilateral with the vertices (-6, 0), (0, 6), (6, 0) and (0, -6).
According to dilation rule, when a figure is dilated by a scale of factor of 1/3, the the coordinates of that point are multiplied by 1/3. So,
(x, y) → (1/3x, 1/3y)
So, lets apply this on the quadrilateral with the vertices (-6, 0), (0, 6), (6, 0) and (0, -6).
For (-6, 0)
(x, y) → (1/3x, 1/3y) = (-6, 0) → (-2, 0)
For (0, 6)
(x, y) → (1/3x, 1/3y) = (0, 6) → (0, 2)
For (6, 0)
(x, y) → (1/3x, 1/3y) = (6, 0) → (2, 0)
For (0, -6)
(x, y) → (1/3x, 1/3y) = (0, -6) → (0, -2)
So, the image rectangle will have the coordinates (-2, 0), (0, 2), (2, 0), and (0, -2) after a rectangle is dilated by a scale of factor of 1/3.
Therefore, the first picture corresponds the correct dilation by a scale of factor of 1/3 as the image rectangle is reduced and has the coordinates (-2, 0), (0, 2), (2, 0), and (0, -2) after a rectangle is dilated by a scale of factor of 1/3.
So, correct picture is also attached below.
Keywords: dilation, transformation, quadrilateral
Learn more dilation and transformation from brainly.com/question/13625798
#learnwithBrainly
Donuts at the store are $0.60 each or $5.88 for a dozen. What is the difference in the unit rates
Step-by-step explanation:
Unit rate means one, if you buy 1 donuts you pay $0.60 for it, if you buy 12 you pay 5.88÷12=$0.49 per donut. The difference between them is 0.60-0.49=$0.11
How many solutions does this system of equations have? y = 4x - 4 y = -4x + 4
Answer:
Step-by-step explanation:
y = 4x - 4 ......slope here is 4 and y int is -4
y = -4x + 4...slope here is -4 and y int is 4
now we compare our slopes and y int's....
learn these, it helps...
if the slopes are different, and y int's are different, then u have 1 solution.
if the slopes are the same and the y int's different, then u have no solutions
if the slopes are the same and the y int's the same, there are infinite solutions.
so ur answer is : 1 solution
number 22 plz help!!!!!!!!!! must need rn
Answer:
1. 6x + 2y = 25.92
4x + 3y = 33.93
2 the site charges $0.99 for a song and $9.99 for an album.
Step-by-step explanation:please see attachment for explanation
The surface area of a regular pentagonal pyramid is 125 square yards. The base length is 5 yards. The area of the base is 37.5 square yards. What is the slant height of the pyramid?
Answer:
The Slant height of the pyramid is 7 yards.Step-by-step explanation:
The total surface area is 125 square yards.
The base area is 37.5 square yards.
Hence, the area of the curved surface is 125 - 37.5 = 87.5 square yards.
According, to the formula, the area of the curved surface is [tex]\frac{5}{2} \times bs[/tex], where b is the base length and s = slant height.
Here, it is given that b = 5 yards.
Thus, [tex]\frac{5\times5\times s}{2} = 87.5\\s = 7[/tex].
Answer:
Sample Response: First, draw and label a net of the pyramid. The triangular faces have a base of 5 yards and a height of 12 yards. Find the area of each of the faces. The square base has an area of 25 yd2. Each of the triangular faces has an area of 30 yd2. Add the areas together to find the surface area: 25 + 30 + 30 + 30 + 30 = 145 yd2.
Step-by-step explanation:
(❁´◡`❁):-P(✿◡‿◡)
4x + 16y = -19
-2x – 8y = 10
Solve by elimination method
Answer:
No solution.
Step-by-step explanation:
4x + 16y = -19
-2x – 8y = 10 Multiply this equation by 2:
-4x - 16y = 20 Add this equation to the first equation:
0 + 0 = 1
0 = 1
This is absurd so there are no solutions.
Write the word sentence as an equation. Then solve.
A number x multiplied by 25 is 320.
The word problem 'A number x multiplied by 25 is 320' translates into the equation 25x = 320. Solving for 'x' by dividing both sides by 25 yields x = 12.8.
Explanation:The question asks to write the word sentence as an equation, and then solve it. The word problem 'A number x multiplied by 25 is 320' can be written as the equation 25x = 320. To solve for 'x', we need to isolate 'x' by dividing both sides of the equation by 25. Thus, x equals 320 divided by 25, giving us x = 12.8 as the solution.
Learn more about Equation solving here:https://brainly.com/question/14410653
#SPJ12
Final answer:
The word sentence 'A number x multiplied by 25 is 320' can be translated into the equation 25x = 320. By dividing both sides by 25, we solve for x, which results in x = 12.8.
Explanation:
To translate the word sentence 'A number x multiplied by 25 is 320' into an equation, we use the symbol '*' for multiplication and '=' to denote equality, resulting in the equation 25x = 320. To solve for x, we divide both sides of the equation by 25:
x = 320 / 25
This gives us:
x = 12.8
Therefore, the number x is 12.8.
Use substitution to prove these algebraic expressions are equivalent 9j + 21 + 3j and 3(3j + j + 7). You may substitute any number for the variables you choose. Show all your work for complete credit.
Will give brainliest!!!!
To the best answer!!!
Answer:
Let j =1
Step-by-step explanation:
9j+21+3j= 3(3j+j+7)
9j+21+3j=9j+3j+21
Since j=1,
9+21+3=9+3+21
Therefore both equations are equivalent
PLEASE MARK BRAINLIEST
what does the symbol 0 with a horizontal line it mean?
Answer:
It means that it divides into two equal parts
Lines y and z are parallel.
Parallel lines are cut by transversals s and t. The angles formed by lines s, t, and y, clockwise from top left, are blank, blank, (10 x + 5) degrees, blank, (4 x minus 7) degrees, blank; formed by s and z are 65 degrees, 1, blank, blank; formed by z and t are 2, blank, blank, blank.
What is the measure of angle 2?
6 degrees
11 degrees
28 degrees
37 degrees
Answer:
28 degrees
Step-by-step explanation:
step 1
Find the measure of angle 1
[tex]m\angle 1+65^o=180^o[/tex] ----> by supplementary angles
[tex]m\angle 1=180^o-65^o=115^o[/tex]
step 2
Find the value of x
[tex](10x+5)^o=m\angle 1[/tex] ----> by corresponding angles
substitute
[tex](10x+5)^o=115^o[/tex]
[tex]10x=110\\x=11[/tex]
step 3
Find the measure of angle 2
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
[tex]m\angle 1+m\angle 2+(4x-7)^o=180^o[/tex]
substitute
[tex]115^o+m\angle 2+(4(11)-7)^o=180^o[/tex]
[tex]m\angle 2=180^o-152^o=28^o[/tex]
Help asappp please 20 points !!!!
Answer:
5
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 3^2 = 25
Then you square root 25 and that is 5
Create a linear equation that goes through (2,-3) and that has a slope of 4.
Answer: y - 4x + 11 = 0
Step-by-step explanation:
Formula
y₂ - y₁
y - y₁ = --------- ₓ ( x - x₁ )
x₂ - x₁
y - y₁ = 4( x - x₁ )
substitute for the coordinate of x and y
y - (-3) = 4( x - 2 )
y + 3 = 4x - 8
y = 4x - 8 - 3
y = 4x - 11
The equation now becomes
y - 4x + 11 = 0
in a history class, the girl to boy ratio is 9 to 5. if there is a total of 70 students how many boys is there
Answer:
25 boys.
Step-by-step explanation:
To solve this problem, first add the two parts of the ratio. 9 + 5 = 14. Then divide 70 by 14 to get 5. Since the total is 5 times the ratio total, multiply both sides of the ratio by 5. The result is 45 : 25. If you add them together, you get a total of 70. Therefore, there are 25 boys in the class.
Answer:
There are 25 boys in the class.
Step-by-step explanation:
9-5
9-5=18-10
9-5=27-15
9-5=36-20
9-5=45-25
45+25=70
PLZ HELPPPP!!!!!!!!!
Challenge A movie theater sends out a coupon for 70% off the price of a ticket. Write an equation for
the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket.
Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first
quadrant.
The equation is y=
.
Answer:x•0.70=y
Step-by-step explanation:
Answer:
0.30x
Step-by-step explanation:
What is the answer of two plus two
Answer:
Two
Step-by-step explanation:
If you have one and added one you have two
Answer:
4 Because that’s what you get when you add them together
2 1/4(4x-1)=1 3/5(1+4x)?? I need help with this problem. Thanks!!
Solving [tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)[/tex] we get [tex]x=\frac{77}{52}[/tex]
Step-by-step explanation:
We need to solve the problem: [tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)[/tex]
Solving:
[tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)\\\frac{9}{4}(4x-1)=\frac{8}{5}(1+4x)\\9x-\frac{9}{4}=\frac{8}{5}+\frac{32x}{5}[/tex]
Add 9/4 on both sides:
[tex]9x-\frac{9}{4}+\frac{9}{4}=\frac{8}{5}+\frac{32x}{5}+\frac{9}{4}[/tex]
[tex]9x=\frac{8}{5}+\frac{9}{4}+\frac{32x}{5}\\9x-\frac{32x}{5}=\frac{8}{5}+\frac{9}{4}\\\frac{9x*5-32x}{5}=\frac{8*4+9*5}{20}\\\frac{45x-32x}{5}=\frac{32+45}{20}\\\frac{13x}{5}=\frac{77}{20}\\x=\frac{77}{20}\times \frac{5}{13}\\x=\frac{77}{4*13}\\x=\frac{77}{52}[/tex]
So, Solving [tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)[/tex] we get [tex]x=\frac{77}{52}[/tex]
Keywords: Solving Fractions
Learn more about Solving Fractions at:
brainly.com/question/2456302 brainly.com/question/4390083 brainly.com/question/2456302#learnwithBrainly
URGENT 15 POINTS in the following diagram
what is the value of y and the value of z?
Answer:
see explanation
Step-by-step explanation:
Using the sine ratio in right Δ ACD and the exact value
sin30° = [tex]\frac{1}{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AD}{AC}[/tex] = [tex]\frac{y}{150}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 150 ( divide both sides by 2 )
y = 75
----------------------------------------------------------------------
Using the tangent ration in right Δ ABD and the exact value
tan60° = [tex]\sqrt{3}[/tex]
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AD}{BD}[/tex] = [tex]\frac{y}{z}[/tex] = [tex]\frac{75}{z}[/tex] = [tex]\sqrt{3}[/tex] ( cross- multiply )
[tex]\sqrt{3}[/tex] z = 75 ( divide both sides by [tex]\sqrt{3}[/tex] )
z = [tex]\frac{75}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = [tex]\frac{75\sqrt{3} }{3}[/tex] = 25[tex]\sqrt{3}[/tex]
I'LL GIVE BRAINLIEST IF ANSWERED WITHIN 10 MINUTES
Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.
y = -x^2 + 6x + 5
Answer:
(x - 3)² = - (y - 14)
The maxima of the function is (3,14).
Step-by-step explanation:
The formula of a quadratic function is given by y = - x² + 6x + 5
We have to write this in the vertex form.
Now, y = - x² + 6x + 5
⇒ y = - (x² - 6x + 9) + 9 + 5
⇒ y - 14 = - (x - 3)²
⇒ (x - 3)² = - (y - 14)
This is the equation of the parabola in vertex form.
This parabola has the vertex at (3,14) and the axis of the parabola is parallel to the negative y-axis.
Therefore, the maxima of the function is at (3,14). (Answer)
Consider the line graphed on the coordinate plane. What is the rate of change of the line ?
Answer:
the gradient of the line is 4
A square has sides of 6X. Which
expression shows the perimeter of the square
Answer:
If a square has all four sides
Each side equals 6x
Then to find the perimeter of a square you take one of the sides and multiply is by 4
6x*4
24x
Hope this helps ;)
2/3 X equals four so what is X
Answer:
x=6
Step-by-step explanation:
The equation is 2/3x=4. So to get x alone we divide 2/3x by 2/3 and we divide 4/(2/3) because we have to do the same to both sides. So we end out with x=6. To check our work, we can do 2/3 * 6 and we get 4