1.02 sinusoidal graphs
Answer:
The answer is 20
Step-by-step explanation:
The wave starts at the origin and doesn't complete the cycle until unit 20.
Answer:
[tex]\displaystyle 20[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2})} \\ \\ 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 \frac{C}{B} \hookrightarrow \boxed{5} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{10}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\pi \\ Amplitude \hookrightarrow 1[/tex]
OR
[tex]\displaystyle \boxed{y = sin\:\frac{\pi}{10}x} \\ \\ 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 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\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 sine graph, if you plan on writing your equation as a function of cosine, 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 = cos\:\frac{\pi}{10}x,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine 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 cosine graph [photograph on the right] is shifted [tex]\displaystyle 5\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 5\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{5} = \frac{\frac{\pi}{2}}{\frac{\pi}{10}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-15, 1],[/tex]from there to [tex]\displaystyle [5, 1],[/tex]they are obviously [tex]\displaystyle 20\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 20.[/tex]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.
Divide 20x^4 by 10x^2
Answer:
The answer for this equation is 2x⁶.
Step-by-step explanation:
In order to solve the equation, you have to Take out the Constants.
[tex] \frac{20}{10} {x}^{4} {x}^{2} [/tex]
Now you have to Simplify 20/10 to 2 because 10 divided by 20 is 2.
[tex] {2x}^{4} {x}^{2} [/tex]
And now you have to Use the product rule:
[tex] {x}^{a} {x}^{b} = {x}^{a + b} [/tex]
[tex]2x ^{4 + 2} [/tex]
and lastly, you have to simplify 4 + 2 to 6.
[tex] {2x}^{6} [/tex]
Therefor, the answer for this equation is 2x⁶.
Answer:
i have questine
Step-by-step explanation:
6 gentlemen and 4 ladies, a committee of 5 is to be formed. In how many ways can this
So as to include at least two gentlemen?
be done
plz help with this asap
Answer:
17
Step-by-step explanation:
6+15 =21
DB = A F
CB = A F -4
CB = 21-4 = 17
lin's family needs to travel 325 miles to reach her grandmother's house. how far have they traveled when they have completed 72% of the trip's distance?
Answer:
Step-by-step explanation: Lin's family completed 8% of the trips distance.
Answer:
234 miles
Step-by-step explanation:
72% of 325=234
What is the equation of the following line? Be sure to scroll down first to see
all answer options,
(0,0) (7,2)
whats 10 times 10? also 6 times 6
Answer:
10 x 10 = 100
6 x 6 = 36
:)
Answer:
10*10=100 | 6*6=36
Step-by-step explanation:
Well, 100/10=10
36/6=6
--------------
10+10+10+10+10+10+10+10+10+10=50+50=100
6+6+6+6+6+6=18+18=36
Which of the following equations shows how to correctly calculate the volume, V, in cubic centimeters, of the prism below?
A.V = (9)(12) × 18
B.V = × 9
C.V = × 12
D.V = × 18
Answer:
A
Step-by-step explanation:
Phil's Frozen Yogurt Shop
A yogurt cup costs
$3.00 plus Phil
charges $0.50 per
topping.
y= cost $
x= # of toppings
PLS HELP
Identify the area of a regular hexagon with side length 17 in. rounded to the nearest tenth.
Answer:
750.8in squared
Step-by-step explanation:
The area of a regular polygon is one-half times the length of the apothem times the perimeter.
Notice that the formula combines the areas for the six triangles that fit inside the hexagon.
The perimeter is equal to the sum of the six triangle bases and the apothem is the height of each triangle.
The interior angles of the hexagon have a measure of 120°
, so the angles at the base of the triangle (and the third angle) have measure 60°
.The height forms a 30°−60°−90°
triangle, which has one leg equal to half of the hexagon side, or 8.5 in.
, and the other leg equal to 8.53–√ in
The figure shows a regular hexagon. Each angle of the hexagon measures 120 degrees. There is a triangle inside the hexagon. The base of the triangle coincides with one of the sides of the hexagon and one of the vertices of the triangle is the center of the hexagon. The length of the apothem is 8.5 times square root of 3 inches. The angles at the base of the triangle measure 60 degrees. The angle between the apothem and the side of the triangle measures 30 degrees. The apothem divides the base of the triangle into two parts. One of the parts is 8.5 inches long.
Find the perimeter of the hexagon.
P=6(17)
Simplify.
P=102in.
The formula for the area is A=12aP
. Substitute the known values and simplify.
A=12(8.53–√)(102)
=433.53–√in2
Round to the nearest tenth as 750.8 in
Therefore, the area of the regular hexagon with side length 17in.
is A≈7508. in2
.
A rock is dropped down from the top of a 500-foot cliff. After 1 second, the rock is traveling 32 feet per second. After 5 seconds, the rock is traveling 160 feet per second.
a. Assume that the relationship between time, t, and speed, s, is linear, and write an equation describing this relationship. Use ordered pairs of the form (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.
Answer:
A) s=32t
B) 224 ft/s
Step-by-step explanation:
A)
In the form (time, speed), the question gives us the following data: (1,32) and (5,160). Since we are told that the relationship between time, t, and speed, s, is linear, we know the equation will fit the formula y=mx+c, where m is slope c is the y-intercept and y and x are the co-ordinate values. Plug in (1,32) and (5,160) to find the formula:
y=mx+c
s=mt+c
32=1m+c
c=32-m
160=5m+C
160=5m+32-m
128=4m
m=32
c=32-m
=32-32=0
So our equation is s=32t
B)
s=32t
s=32(7)=224 ft/s
need help with surface area
4.
The number of hours h that it takes m men to assemble x machines varies directly as the number of
machines and inversely as the number of men. If four men can assemble 12 machines in four hours,
how many men are needed to assemble 36 machines in eight hours?
Answer:
5 men
Step-by-step explanation:
4m × 4h = 12
xm × 8h=36
x m = 4.5
15 POINTS 15 POINTS !5 POINTS
Answer:
I AM SO SORRY but I need that point soo plsss Im sooo sorry
Answer:
The answer is (x+2)²+(y-3)²=29.
Hope it helps uh
Identify the type of triangle by looking at the sum of the angle
measures.
145 + 20 + 15 = 180°
Answer:
Scalene triangle because it's all sides are unequal
Answer:
Scalene triangle
Step-by-step explanation:
what are 3 online websites I can take pictures on with, without saving to ur device , it stays on that site and its just for u
Answer:
Webca-mtoy.com webca-mera.io I only know 2
Step-by-step explanation:
Imagine you are starting an office supply business. Your overall costs for supplies are $100. You plan on selling binders for $4 each and pencils for $2 each. Let x represent the number of binders sold and y represent the number of pencils sold.
Complete question :
Imagine you are starting an office supply business. Your overall costs for supplies are $100. You plan on selling binders for $4 each and pencils for $2 each. Let x represent the number of binders sold and y represent the number of pencils sold. Give an expression for the profit made.
Answer:
(2y + 4x) - $100
Step-by-step explanation:
Given that:
Cost of supply = $100
Supplies :
binders, sales price = $4
Pencils, sales price = $2
Number of binders sold = x
Number of pencils sold = y
The revenue from sale :
(Cost of pencils * number of pencils) + (cost of binders * number of binders)
Revenue = 2y + 4x
Profit, p = Revenue - Cost of supply
p = (2y + 4x) - $100
A baker recorded the number of batches of
cookies he made on each of seven days. He
baked a different number of batches of cookies
each day. This box-and-whisker plot
summarizes his data.
Number of Cookies
+
9 10 11 12 13 14 15
1 2
3
4
5
6
7
8
The baker baked 20 batches of cookies on the
eighth day. He redraws the box-and-whisker plot
to include his data. Which statement comparing
the new box-and-whisker plot to the original box-
and-whisker plot is NOT true?
A. The median increased.
B. The lower extreme increased.
C. The upper extreme increased.
D. The value of the interquartile range
increased
Answer:
B. The lower extreme increased.
Step-by-step explanation:
From the original box and whisker plot, the lower extreme (minimum) is 5 ; The upper extreme, maximum is 15.
The number of batches baked on the eight day is 20. This exceeds tbe previous maximum value. Hence, upper extreme( maximum) value of the new plot will change from 15 to 20.
The lower extreme isn't affected as the obtained value isn't below 5.
The median value will Increase and the upper quartile value will also increase. Once the upper quartile value increases, the interquartile range will also increase
Please help!
Passes through (- 1, - 8) and perpendicular to x + 3y = - 6
What is the equation?
Answer:
y = 3x - 5
Step-by-step explanation:
1) First, place the given equation in slope-intercept form, represented by the formula [tex]y = mx +b[/tex], to find the slope. Whatever [tex]m[/tex] or the coefficient of x-term is will be the slope. Isolate y in the equation:
[tex]x + 3y = -6\\3y = -x -6\\y = -\frac{1}{3}x-2[/tex]
So, the slope of that line is [tex]-\frac{1}{3}[/tex]. Lines that are perpendicular have slopes that are opposite reciprocals, thus the slope of the new line will be 3.
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the equation of the new line. Substitute real values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] in the equation.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{1}{3}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of one point the line passes through, substitute the x and y values of (-1,-8) into the formula as well. Then, isolate the y in the resulting equation to put the equation in slope-intercept form and find an answer:
[tex]y-(-8) = 3 (x-(-1))\\y + 8 = 3(x+1)\\y + 8=3x + 3\\y = 3x -5[/tex]
PLEASE HELP IVE BEEN STUCK ON THIS ONE FOR QUITE A WHILE.
WILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
JK is longer than JL and isn't 9 units long
you don't have to do all of them
Answer: lol your using canvas
1. 63
2. D
3. B
4. A
Sorry for the bland explinations havin a bad day.
Step-by-step explanation:
1. The way we solve this is by adding the degrees 72 and 45. then we subtract it by 180. this is because in all triangles the angles always add up to 180 degrees.
2. Like question one what set of angles measures to 180 degrees.
3. The sides of a triangle should define the angle measurements. you can also see if its a triangle if the numbers are continues like 3,4,5 or in this case 4,5,6
4. like in questions 1 and 2 the angles of a triangle has to equal 180 degrees so 60 times 3 is 180 so each angle would have to be 60 degrees.
Original price of a phone: $129.99
Tax: 2%
Answer:
$132.59 is the answer
Marissa went on a trip and drove her car throughout the day. The graph below shows Marissa's distance from the starting point of her trip for different segments of time
What’s the answer to this please?
A. The rate of the first segment is increasing, second segment is constant, and third segment is decreasing.
B. Marissa's distance from the starting point at the end of her trip is 40 miles.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The graph below shows Marissa's distance from the starting point of her trip for different segments of time.
A. The rate of the first segment at the interval (0,3) is increasing, the rate of the second segment at the interval (3,7) is constant, and the rate of the third segment at the interval (7,10) is decreasing.
B. Marissa's distance from the starting point at the end of her trip is 40 miles.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ6
The question seems incomplete, the missing part has been below:
A. Describe each of the three segments of the graph in terms of the rate of change in Marissa's distance from the starting point throughout her tip.
B. What is Marissa's distance from the starting point at the end of her trip?
What are the x-input values of this relation? (1, 4), (2, 5), (3, 6) Choose all that apply.
1
2
3
4
5
6
pleaseee
Answer:
1, 2 and 3
Step-by-step explanation:
First you must know that the coordinate of a point is expressed as (x, y) wgere
x serves as the input value (domain)
y serves as the output values
Given the coordinates (1, 4), (2, 5), (3, 6), the input values will be the values at the x coordinates of the points that is 1, 2 and 3.
The perimeter of a pool is 116 feet. If the length of the pool is 3 times its width, what is the width of the pool?
Answer:
the width is 3
Step-by-step explanation:
Find the area of the shape.
Answer:
[tex] area \: of \: trapezium = \: \frac{1}{2} (a + b) \times h[/tex]
Therefore, 1/2 (9 +17)*8
Therefore, 1/2(26)*8
Therefore, 13*8
Therefore, 104
Your answer is 104ft²
Find the equation of the line
perpendicular to 3x + 5y = 15 with an
x-intercept 6.
the legs of a right triangle are congruent and the hypotenuse is
.
[tex]7 \sqrt{3} [/tex]
units long . find the length of each leg.
plss help me with this I'm really bad at math
Answer:
Step-by-step explanation:
Length of each leg = hypotenuse/√2
= 7√3/√2 units
= 7√6/2 units
A rectangle is 1 2/5 in. by 2 1/2 in. What is the rectangle’s perimeter?
Answer:
b. 7 4/5 in
Step-by-step explanation:
First, turn 1 2/5 and 2 1/2 into decimals which would be 1.4 and 2.5. Then, multiply 1.4 by 2 and 2.5 by 2 since you have to add up all the sides of the rectangle. Then, add the products to get the perimeter of 7.8 inches. (4/5 = 0.8).