Answers
Answer:
○ [tex]\displaystyle None\:of\:these[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 2cos\:(2x - \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{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle \boxed{y = 2sin\:2x} \\ 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{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 2[/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 = 2cos\:2x,[/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 \frac{\pi}{4}\:unit[/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 \frac{\pi}{4}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(2x - \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 hits [tex]\displaystyle [-2\frac{1}{4}\pi, -2],[/tex]from there to [tex]\displaystyle [-1\frac{1}{4}\pi, -2],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/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 two units 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.
Related Questions
If a 5 kg ball is accelerating 1.2 m/s squared, what is the force on it? plss do it now
Answers
Answer:
The answer is 6 N
Step-by-step explanation:
There is no solution to the equation csc x=0.
A. True
B.False
Answers
Answer:
True
Step-by-step explanation:
Answer:
i would say that A. would be the answer...because 0 is a #number.
a toy store sells assorted bags of marbles sold in small or large bags the table show the number of each color of marble in the small bag the manager of the store wants to mantain the same ratio of each color of the marble in the large bag as in the small bag
if each marble cost 20 green marble how much does the large bag cost
Answers
10$
Hope this helped!
ms.lu is adding a new room to her house. The room will be a cube with volume 4,913 cubic feet. What is the length of the new room?
Answers
Answer:
17 feet
Step-by-step explanation:
Since it's a cube, you just take the cube root of the volume.
So,
[tex]\sqrt[3]{4913}[/tex]=17
Calculate the value of each expression.
Type each value in the corresponding boxes below.
Answers
Answer:
140
-2.6
0
Step-by-step explanation:
60 -(-80) if there is - - that means +
60 + 80 = 140
2.3 + (-4.9) if its + - it just means - ignore the plus
2.3 - 4.9
-2.6
4.5 + (-4.5)
0
Answer:
a.140
b. -2.6
c. 0
Step-by-step explanation:
a.60-(-80)= 60+80 because two negatives make a positive
=140
b. 2.3+(-4.9)= 2.3-4.9
= -2.6
c. 4.5+(-4.5)=0
marking brainlist for correct answer :))
Answers
is 16 m2 for the answer hope this works
Please help I will give brainliest.
Answers
To find the x-intercept, substitute 0 for y and solve for x.
To find the y-intercept, substitute 0 for x and solve for y.
x-intercepts : (4, 0), (1, 0)
y-intercepts : (0, 4)
513 divided by 23 math
Answers
Answer:
22.3
Step-by-step explanation:
Help asap I’ll give branniest to the best answer
The diameter of a cylinder is 1 yd. The height is 4 yd find the volume of the cylinder type answer with pie symbol
Answers
Answer:
3.14 cube .yd
Step-by-step explanation:
Volume of cylinder= πr^2h
3.14 × 0.5 × 0.5 × 43.14 cube.ydPeremeter=34 Area=60, What are the sides???
Answers
Answer:
Step-by-step explanation:
I'm going to assume it is a rectangle.
P = 2L + 2w = 34
Area = L * w = 60 Divide by L
w = 60/L Substitute into the perimeter.
P = 2L + 2w = 34 Put (60/L) for w
P = 2L + 2(60)/L = 34 Multiply both sides by L
P = 2L^2 + 120 = 34L Subtract 34L from both sides.
2L^2 - 34L + 120 = 0 Divide everything by 2
L^2 - 17L + 60 = 0 Factor
(L - 5)(L - 12) = 0
Since L is usually the larger value, use L = 12
L*w = 60
12w = 60
w = 60/12
w = 5
Answer
L = 12w = 59^2 - (4) (2) (-6) what is the answer?
Answers
Answer:
129
Step-by-step explanation:
pls heart and give brainliest much appreciated
10th grade Geo | What does JK equal?
Answers
Answer:
16
Step-by-step explanation:
6x-7=2x+3 Cause point M is the midpoint, so JM and MK have to be equal.
4x=10
x=2.5
JM=15-7=8 and MK=5+3=8
8+8=16
what number does x^2 - 16x + 64 represent when x= -4
Answers
Hey there!
Plug in the value of x and evaluate:
x²-16x+64
(-4)²+16(-4)+64
16-64+64
16
Hence, the answer is 16.
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
is number 1 a function??
Answers
Answer:
yes
Step-by-step explanation:
The population density of Peru one year was approximately 23 people per square kilometer. Brazil has a land area of approximately 8.5 million square kilometers.
If Brazil had the same population density as Peru that year, approximately how many people were living in Brazil?
370,000 people
2,700,000 people
31,500,000 people
195,500,000 people
Answers
Answer:
D (195,500,000)
Step-by-step explanation:
8.5 mil times 23 equals D
The number of people living in Brazil that year was approximately 195,500,000 people. The answer is the last option 195,500,000 people
What is Population density?From the question, we are to determine the number of people living in Brazil in that year
From the given information,
Brazil land area = 8.5 million square kilometers = 8500000 km²
Brazil population density = Peru population density = 23 people /km²
From population density formula,
[tex]Population\ density = \frac{Number \ of \ people}{Land\ area}[/tex]
Then,
Number of people = Population density × Land area
Therefore,
Number of people living in Brazil = 8500000 × 23
Number of people living in Brazil = 195,500,000 people
Hence, the number of people living in Brazil that year was approximately 195,500,000 people. The answer is the last option 195,500,000 people
Learn more on Population density here: https://brainly.com/question/26910545
Some satellites are called 'geo-stationary' - they seem to hover above the earth, as they remain 36,000 km above a single point on the earth's surface and spin with the earth as it rotates. How much time would such a satellite take to complete one revolution of the earth?
Answers
Answer:
24 hours
Step-by-step explanation:
This is because they seem to be stationary about one point on the surface of earth. This is possible when the satellite has the same angular speed as the earth.
This means that it takes the same amount of time to the satellite to take one revolution around the earth as it takes the earth to take one revolution about its axis.
[tex]w=\frac{revolutions}{time}[/tex]
[tex]w_{satellite}=w_{earth}[/tex]
[tex]\frac{N_{satellite}}{t_{satellite}}=\frac{N_{earth}}{t_{earth}}[/tex]
since [tex]N_{satellite}=N_{earth}[/tex]
then, when solving for t we get that:
[tex]t_{satellite}=t_{earth}[/tex]
(-3, 4) and (-1, 10).
What is the slope
Helpasap
Answers
Answer:
6/2
Step-by-step explanation:
10-4=6
-1-(-3)
-1+3=2
6/2
1 by 8 + 3 by 4
I have a photo of you don’t know what I mean:)
And could u explain it too if you can<33
Thank you so much :>
Answers
Answer: 7/8
Step-by-step explanation:
First, we can start by finding a common denominator.
The least common denominator of 8 and 4 is 8.
We can multiply the numerator and denominator of 3/4 by 2:
= 6/8
So, we are esssentially calculating 1/8 + 6/8. We can add the numerators:
= 7/8.
2. Multiply the right side by 2
3. You now have 1 6
— + —
8 8
4. Now you just have to add the numbers , do not add the denominators ( in this case 8)
5. You would get 7
—
8
find the number of bounded and unbounded regions that 4 lines in general position divide a plane into. then find the number of regions for 5 through 10 lines. organize the information in a chart. (ALL THE BLANK SPOTS IN THE ATTACHMENT ARE WHAT I AM CONFUSED ON) please help I have till friday to finish!
Answers
Answer:
10, 15, 21, 28, and 36
Step-by-step explanation:
The rule is the number of line which is n. (n-2)*(n-1) divided by 2
The slope of that line through the origin that divides the region bounded is 1.0315
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
given that,
y = 5x - 3x2
5x - 3x2 = 0
x(5 - 3x) = 0
x = 0 , x = 5/3
Area under y = 5x - 3x2 is A = [0 to 5/3] 5x - 3x2 dx
A = [0 to 5/3] 5x2/2 - 3x3/3
A = [0 to 5/3] 5x2/2 - x3
A = 5(5/3)2/2 - (5/3)3 = 125/54
line passing through origin is in the form of y = mx
==> mx = 5x - 3x2
==> 3x2 + mx - 5x = 0
==> 3x2 + x(m -5) = 0
=> x(3x + (m -5)) = 0
==> x = 0 , x = (5 -m)/3
Area under y = 5x - 3x2 and y = mx is (125/54)/2 = 125/108
==> ?[0 to (5 -m)/3] 5x - 3x2 -mx dx = 125/108
==> ?[0 to (5 -m)/3] (5 - m)x - 3x2 dx = 125/108
==> [0 to (5 -m)/3] (5 - m)x2/2 - x3 = 125/108
==> (5 - m)[(5 -m)/3]2/2 - ((5 -m)/3)3 = 125/108
==> (5 -m)3/18 - (5 -m)3/27 = 125/108
==> (5 -m)3/54 = 125/108
==> (5 -m)3 = 125/2
==> (5 -m) = 3.9685
==> m = 5 - 3.9685
==> m = 1.0315
Hence slope of line = 1.0315
To learn more about slope
brainly.com/question/3605446
#SPJ3
The complete question is given below
There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
How does DNA replication differ in prokaryotic and eukaryotic cells?
a. DNA is single stranded in prokaryotic cells
b. prokaryotic cells do not keep their DNA in a membrane bound nucleus
c. prokaryotic DNA uses uracil as a nitrogenous base instead of thymine
d. prokaryotic cells use a different amino acid code
Answers
the answer you are looking for is A
How do I find the area of a triangle in a coordinate plane
Answers
If a car travels 400 miles in 4 hours how fast is it going?
Answers
Answer:
100 miles per hour
Step-by-step explanation:
Answer:
100 miles in 1 hour
Step-by-step explanation:
all you have to do is divied 400 and 4
Asap! I’ll mark you brainlest
What does how many hours did he rent the bike for?
Add
Subtract
Divide
Multiply
Answers
Answer:
He rented the bike for 2 hours.
Step-by-step explanation:
Since a bike costs $13 plus $5 per hour, we can write this as:
13 + 5(h)
We used "h" as the variable for hours, since we need to find how many hours he rented the bike for, that he had to pay $23.
And since Pete paid $23, we need to make the other equation equal to 23.
= 23
So the actual equation, would look like this:
13 + 5(h) = 23
Now we just solve for h in the equation:
13 + 5(h) = 23
Step 1: Multipy 5 times "h"
13 + 5h = 23
Step 2: Subtract 13 from both sides
13 + 5h - 13 = 23 - 13
Step 3: Simplify
5h = 10
Step 4: Divide both sides by 5
5h/5 = 10/5
Step 5: Simplify
h = 2
So the number of hours that Pete rented the bike for 2 hours
How is the product of 2 and-5 shown on a number line
Answers
Answer:
-10
Step-by-step explanation:
start at 0 and move backwards 5(gives you -5) then move backwards 5 more(-10)
Help please:{ 8th grade Math heh-
Answers
Answer:
so it's number 2
Step-by-step explanation:
just try it I'm sure it's right
Answer:
Second option: y = 5(x + 2)
Step-by-step explanation:
Equation that is already graphed: y = 5x - 10
Let's use the second option: y = 5(x + 2)
Since y = 5x - 10, we substitute 5x - 10 into the equation y = 5(x + 2)
The equation will look like this: 5x - 10 = 5(x + 2)
Now we solve: 5x - 10 = 5(x + 2)
5x - 10 = 5(x + 2)
Distribute
5x - 10 = 5x + 10
Rearrange variables to the left side of the equation
5x - 5x = 10 + 10
Apply the inverse property of addition
0 = 10 + 10
Add 10 and 10
0 = 20
Therefore, there is no solution
help! ILL MARK BRAINLIEST 20 points too! Please actually help instead of typing something random for points that’s mean;(
Answers
Answer:
The greatest common factor (GCF) is the largest factor that divides two numbers and a factor is a number that divides into another number exactly so...
1)
10: 1,2,5,10
20: 1,2,4,5,10, 20
*10 is the GCF
2)
12: 1, 2, 3, 4, 6, 12
16: 1, 2, 4, 8, 16
*4 is the GCF
3)
27: 1, 3, 9, 27
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
*9 is the GCF
2t - 15t is equal to
2t-15t is equal to
Answers
Answer:
2 result(s) found
t=2
t=
2
11
=5.500
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*t^2-(15*t-22)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
2t2 - (15t - 22) = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2t2-15t+22
The first term is, 2t2 its coefficient is 2 .
The middle term is, -15t its coefficient is -15 .
The last term, "the constant", is +22
Step-1 : Multiply the coefficient of the first term by the constant 2 • 22 = 44
Step-2 : Find two factors of 44 whose sum equals the coefficient of the middle term, which is -15 .
-44 + -1 = -45
-22 + -2 = -24
-11 + -4 = -15 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -11 and -4
2t2 - 11t - 4t - 22
Step-4 : Add up the first 2 terms, pulling out like factors :
t • (2t-11)
Add up the last 2 terms, pulling out common factors :
2 • (2t-11)
Step-5 : Add up the four terms of step 4 :
(t-2) • (2t-11)
Which is the desired factorization
Equation at the end of step
2
:
(2t - 11) • (t - 2) = 0
STEP
3
:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : 2t-11 = 0
Add 11 to both sides of the equation :
2t = 11
Divide both sides of the equation by 2:
t = 11/2 = 5.500
Solving a Single Variable Equation:
3.3 Solve : t-2 = 0
Add 2 to both sides of the equation :
t = 2
Supplement : Solving Quadratic Equation Directly
Solving 2t2-15t+22 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
4.1 Find the Vertex of y = 2t2-15t+22
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 2 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,At2+Bt+C,the t -coordinate of the vertex is given by -B/(2A) . In our case the t coordinate is 3.7500
Plugging into the parabola formula 3.7500 for t we can calculate the y -coordinate :
y = 2.0 * 3.75 * 3.75 - 15.0 * 3.75 + 22.0
or y = -6.125-0
Large cheese pizzas cost $5 each and large pepperoni pizzas cost $6 each. The expression 5c+6p models the total cost of large cheese pizzas (c) and large pepperoni pizzas (p). What does each part of the expression represent in the context of the situation? Drag the correct description to each part of the expression.
Answers
Answer: 5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.
Step-by-step explanation:
Given: Large cheese pizzas cost $5 each and large pepperoni pizzas cost $6 each.
The expression 5c+6p models the total cost of large cheese pizzas.
here c represents Number of large cheese pizzas and p represents number of large pepperoni pizzas such that
5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.
[Total cost = Cost of each item x Number of items ]
The width of a rectangle is 14 meters less than the length. The area of the rectangle is 576 square meters. Find the length and the width.
Answers
Answer: Width = 18m
Length = 32m
Step-by-step explanation:
Let the width of a rectangle be x
Let the length of the rectangle be: x+14
Width = 18m
Length = 32m
Check the attachment for the explanation and further details.
It takes 33 minutes to walk to the pool from her house. If she rides her bike it takes her 1/3 of that time. Natasha leaves her house for the pool at 3:12. If she is riding her bike, what time will she arrive? _:_
Answers
Answer:
Natasha will arrive at 3:23
Step-by-step explanation:
(1/3)*33= 11
3:12+11= 3:23