Answers
Explanation:
Normally, cosine has a period of 2pi. This means that the curve repeats itself every 2pi units. However, this graph has a period of pi.
We can see this by noting that the distance from one peak such as x = 0 to another adjacent peak x = pi is exactly pi units across.
Since T = pi is the period, we then know that
B = (2pi)/T
B = (2pi)/(pi)
B = 2
Then recall that the general template is y = Acos(B(x-C))+D
In this case, A = 1, C = 0 and D = 0. So all of this leads to y = cos(2x)
Related Questions
Please help me this on the picture
Answers
Answer:
Step-by-step explanation:
Factor the following expression completely. 16x^5-x^3
Answers
Answer:
x³ (4x + 1)(4x - 1)
Step-by-step explanation:
Answer:
x^3 (4x-1)(4x+1)
Step-by-step explanation:
16x^5-x^3
Factor out x^3
16* x^2*x^3 - x^3
x^3(16x^2 -1)
The term inside the parentheses is the difference of squares
a^2 - b^2 = (a-b)(a+b)
x^3 ( (4x)^2 -1^2)
x^3 (4x-1)(4x+1)
The ratio of the cost of a shirt to the cost of a jacket is 2:5. If the jacket cost $240 more than the shirt,
find the cost of the shirt and the cost of the jacket.
Answers
Given:
The ratio of the cost of a shirt to the cost of a jacket is 2:5.
The jacket cost $240 more than the shirt.
To find:
The cost of the shirt and the cost of the jacket.
Solution:
Let x be the cost of the shirt.
The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).
The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,
[tex]\dfrac{x}{x+240}=\dfrac{2}{5}[/tex]
[tex]5x=2(x+240)[/tex]
[tex]5x=2x+480[/tex]
Subtract 2x from both sides.
[tex]5x-2x=480[/tex]
[tex]3x=480[/tex]
Divide both sides by 3.
[tex]x=\dfrac{480}{3}[/tex]
[tex]x=160[/tex]
So, the cost of shirt is $160.
Now, the cost of jacket is:
[tex]160+240=400[/tex]
Therefore, the cost of shirt is $160 and the cost of jacket is $400.
in triangle ABC the measure of angle A is 90. the length of AB is 1 unit the length of AC is 8 unit, find the legth of BC
Answers
Answer:
8.06
Step-by-step explanation:
by using pythagoras
BC^2=1^2+8^2
BC^2=1+64
BC^2=65
BC=√65
BC=8.06
31. Which choice describes the value of m when -5(m + 1) = 23?
А
B.
m 2-3
ms-
6 m2
D.ms-
Answers
Answer:
The correct choice is Option A. m ≥ -28/5
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A teacher takes a random sample of 100 students enrolled at Springfield High School and asks them their opinions about the food served in the school cafeteria. The population of students here is __________________.
A. the 100 students who are asked questions
B. all students enrolled at Springfield High School
C. all high school students in the country
D. all high school students in the world
Answers
Answer:
The 100 students who are asked questions.
Robi bought a toy car for $x. He sold it at a loss of 10%. Find the expression
for the selling price.
Answers
Step-by-step explanation:
loss amount'= loss% × C.P
=10/100 × x
=0.1 x
Again,
S.P = C.P - Loss amount
=$x - $0.1 x
=0.9 x
The expression for the selling price is:
0.9x
What is selling price and cost price and its formula?
Cost Price: The price paid for an item is referred to as its cost price (C.P.). The price at which an item is purchased is referred to as its selling price (S.P.).
Profit or Gain: The seller is considered to have profit or gain if SP exceeds CP.
Solution:
Given, loss percent is = 10%
cost price of the toy car is = $x
Therefore the loss amount is: loss% × C.P
= 10/100 × cost price
= 0.1x
Now, for the selling price expression:
selling price (SP) = Cost price ₋ Loss amount
= $x ₋ $0.1x
= 0.9x
Hence we get the desired expression for the selling price as 0.9x.
Learn more about "selling price questions" here-
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pls help !! answer both 1a and 1b pls
Answers
Answer:
KM = 50 mm , ∠ K = 104°
Step-by-step explanation:
Note that KM = KL = 50mm ( congruent legs )
This indicates the triangle is isosceles with base angles congruent, both 38°
∠ K = 180° - (38 + 38)° = 180° - 76° = 104°
Answer:
So the answer is 398°
Step-by-step explanation:
hope it helps
Setting y = 0 allows you to determine the what
of a graph
Answers
[tex]y=0[/tex] allows you to determine the x-intercept of a graph.
x-intercept and y-intercept:The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept. Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.When y is 0, the x-intercept is reached. The graph's intersection with the y-axis, or (0, b), is known as the y-intercept. When x is 0, the y-intercept is reached. When y is 0, the x-intercept is reached.Therefore, [tex]y=0[/tex] allows you to determine the x-intercept of a graph.
Know more about x-intercept and y-intercept here:
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factor: 3x^(2)-16x+16
Answers
Answer:
[tex]3 {x}^{2} - 16x + 16 \\ 3 {x}^{2} - 12x - 4x + 16 \\ 3x(x - 4) - 4(x - 4) \\ (3x - 4)(x - 4)[/tex]
Step-by-step explanation:
I hope it helped U
stay safe stay happy
This is the answer for Plato and Edmentum
please help geometry surface area
Answers
Answer: 159
Step-by-step explanation:
We have to find the surface area of two triangles and 3 rectangles
To find the surface areas of the triangles, we use the formula: base x height / 2
6 x 5.5 / 2 = 16.5
Multiply that by 2 since there are 2 of them
16.5 x 2 = 33
To find the surface area of the rectangles, we multiply the length and width
7 x 6 = 42
Multiply that by 3 since there are 3 of them
42 x 3 = 126
Add up all the surface areas
126 + 33 = 159
Is it equivalent? please show work so i can write it
Answers
No, because
2(y + 1,5) = 2 · y + 2 · 1,5 = 2y + 3
2y + 3 ≠ 2y + 1,5
Answer:
No
Step-by-step explanation:
2 ( y + 1.5 ) = 2y + 3. Not 2y + 1.5
2,000
10,000
milligrams
grams
6
7
HELPPPPPPPPP
Answers
Answer:
2000 milligrams —> 2 grams
6000 milligrams —> 6 grams
7000 milligrams —> 7 grams
10000 milligrams —> 10 grams
I hope I helped you^_^
One angle of a triangle is 22^0. What is the measurement (in degrees) of the corresponding angle in a similar triangle?
Answers
Answer:
22 degrees
Step-by-step explanation:
Corresponding angles in similar triangles are equal
So the corresponding angle would be 22 degrees
Work out an estimate for the value of
41.2 x 19.8
——————-
0.49
Answers
Answer:
820
Step-by-step explanation:
41.2 * 19.8 = 41 *20 = 820
41.2
In this tenth value is 2 which is less than 5. So ignore it and write the whole number alone. 41
19.8
In this tenth value is 8 awhich greater than 5. So add 1 to whole part and write.
19+1 = 20
Hey can someone help me figure out what 3/4(x-8)=12
Answers
Answer:
x=24
Step-by-step explanation:
3/4(x-8)=12
Multiply each side by 4/3
4/3*3/4(x-8)=12*4/3
x-8 = 16
Add 8 to each side
x-8+8 = 16+8
x=24
Answer:
x = 24
Step-by-step explanation:
Essentially, you need to break this apart.
You need to isolate the x to figure it out with division or something.
To isolate, you need to get rid of the numbers around it.
To get rid of the 3/4, you can convert it to a decimal to make it easier, and then divide both sides by 0.75 to get rid of it on the x's side.
You now have
x-8 = 12/0.75
You can quickly punch the right side into a calculator to make it easier.
x - 8 = 16
You then add 8 to both sides to finish off the x, to get
x = 24
The height and radius of a cone are each multiplied by 11. What effect does this have on the volume of the cone?
The volume of the cone is multiplied by (Blank 1).
Answers
The volume of the new cone would be 1331 times more than the volume of the original cone. Thus, The volume of the original cone is multiplied by 1331
The volume of the cone can be calculated by the given formula:
The volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]
where r = radius of the cone
h = height of the cone
Solution:
The volume of the original cone= .......1
It is given that the height and radius of a cone are multiplied by 11.
then volume
= [tex]\frac{1}{3} \pi (11r)^{2} (11h)[/tex]
= [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex] .........2
The change in volume of the cone after multiplying 11 to r and h would be
dividing equation 2 by equation 1
= [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex]/[tex]\frac{1}{3} \pi r^{2} h[/tex]
= 121*11
= 1331
Thus, The volume of the original cone is multiplied by 1331
Learn more about the volume of the cone:
https://brainly.com/question/1315822
Is this relation a function?
Answers
Answer:
Hello,
Answer D
Step-by-step explanation:
In a function a value may not have 2 images.
y1=f(x1) and y2=f(x1) ==> y1=y2
I’m very confused abt this question: Look at the pic for clarification.
Answers
Answer:
8A
Step-by-step explanation:
We are multiplying the matrix by a scalar
Each term in the first matrix is multiplied by 2
[tex]\left[\begin{array}{ccc}2l&2m&2n\\2p&2q&2r\\2s&2t&2u\end{array}\right][/tex]
Factor out 2
[tex]2\left[\begin{array}{ccc}l&m&n\\p&q&r\\s&t&u\end{array}\right][/tex]
We know that the determinant of a matrix when multiplied by a scalar is found by
det ( a A) =a^n * det (A)
The scalar in this case is 2 and n is the number of rows ( or columns) since the matrix must be square
det (2A) = 2^3 det(A) = 8A
Answer:
(A)
Step-by-step explanation:
Factor the 2 out and do 2/1=x/A
X=2A
Find the 8th term of the geometric sequence 7,−21,63,
Answers
Answer:
8th term is -15309
Step-by-step explanation:
[tex]{ \boxed{ \bf{u_{n} = a( {r}^{n - 1} ) }}} \\ { \tt{u_{8} = 7( {( - 3)}^{8 - 1}) }} \\ { \tt{u_{8} = 7( - 2187)}} \\ { \tt{u _{8} = - 15309}}[/tex]
r is the common difference, r = -21/7 = -3
Answer:
a₈ = - 15309
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-21}{7}[/tex] = - 3 , then
a₈ = 7 × [tex](-3)^{7}[/tex] = 7 × - 2187 = - 15309
Provide a rule to describe the relationship between the number in the sequence
1,4,9,16
Answers
Answer:
add 3, add 5, add 3
Step-by-step explanation:
1, 4, 9, 12
add 3, add 5, add 3
Answer:
x^2
Step-by-step explanation:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
And so on.
So, the rule is x^2.
If (3+√5)(4-√5)=a+b√5, where a and b are integers, then what is the value of a + b?
Answers
So, if a and b are integers, a=2 and b=3
Brad runs 4 miles in 18 minutes. at the same rate how long will it take him to run 24 miles
Answers
Answer:
108 minutes
Step-by-step explanation:
Take 24 and divide by 4; you get 6;
Multiply 18 by 6; you get 108;
It will take Brade 108 minutes to run 18 miles
Which equation is in slope-y-intercept form?
Question 1 options:
a) 3x + 4y = 7
b) x = 4y - 2
c) y = 3x -1
d) x + 4y -2
Answers
Answer:
C = y - 3x-1
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
C = y - 3x-1 is in slope intercept form
The answer is A.
I took the test.
1 upon sec A -tan a minus one upon cos A is equal to 1 upon Cos A minus one upon sec a + tan a prove it
Answers
Step-by-step explanation:
1/(seca-tana) - 1/cosa=1/cosa -1/(seca+tana)
There are many ways to solve this, let's take a look at a simple one
1/(seca-tana) + 1/(seca+tana) =1/cosa + 1/cosa
((seca-tana)+(seca+tana))/(sec^2a-tan^2a)=2/cosa
(seca-tana+seca+tana)/1=2*1/cosa
2seca=2seca
125 + (a-b)³ help me
Answers
Answer:
(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)
Step-by-step explanation:
125 + (a - b)³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
Then
125 + (a- b)³
= 5³ + (a - b)³
with a = 5 and b = (a - b)
= (5 a a - b)(5² - 5(a - b) + (a - b)² )
= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)
= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)
If A = {1, 3, 5, 6, 7, 9, 10}, B = {3, 5, 7, 9,10,12}, C = {2, 4, 6, 8, 10,12} (a) Find A U B ( b) Find A U C (c) Find B ∩ C
Answers
Answer:
Step-by-step explanation:
A ∪ B -----> we have to write all the elements from A & B set without duplicating.
B∩C ------> We have to write only the elements that are found in both B set and C set
A) A ∪ B = {1,3,5, 6, 7, 9, 10,12}
b) A ∪ C = {1, 3, 5, 6, 7, 9, 10,2,4,8,12}
c) B ∩ C = {10,12}
Answer:
a. A U B = { 1,3,5,6,7,9,10,12 }
b. A U C = { 1,2,3,4,5,6,7,8,9,10,12}
c. B n C = { 10.12 }
Step-by-step explanation:
a. A U B — you put all the numbers in set A and B together without repeating anything.
A U B = { 1,3,5,6,7,9,10,12}
b. A U C — you put all the numbers in set A and C without repeating anything.
A U C = { 1,2,3,4,5,6,7,8,9,10,12}
c. B n C — you find a common number in sets B and C.
B n C = { 10,12}
The numbers 10 and 12 are the only common thing in sets B
and C.
What line does the point (8,41) lie?
Answers
Answer:
There are infinite answers to your question
y= 5x + 1
is one of them
Step-by-step explanation:
plse help.....me
[tex]a - 3 + a - 5[/tex]
Answers
[tex]a-3+a-5=\\\\=a+a-3-5=\\\\=\boxed{2a-8}[/tex]
worth 10pts if someone can help!
Answers
Answer:
y=-x
I found the points then simplified it down
Answer:
hmm maybe trying using 2y=5x-2
Step-by-step explanation:
how i came to this was just looking at point y which was just 2 and then since point x was at 5,-2 all i did was simply it into 2y=5x-2
maybe that's the answer if it is can i get brainlist ?! pretty please if not let me know so i can see what i got wrong
