Answer: f(x) = 4*cos(pi*(6/8)*x) + 2
Step-by-step explanation:
A generic cosine function is written as:
f(x) = A*cos(w*x + p) + M
where:
A = amplitude
w = angular frequency
p = phase
M = midline.
We know that:
the midline is 2, then M = 2
the amplitude is 4, then A = 4
There is no information about the phase, so p = 0.
And we know that the period is 8/3.
The period is written as T, and the relation between the period and the angular frequency is:
T = 2*pi/w
Then we have:
8/3 = 2*pi/w
w = (2*pi)*(3/8) = pi*(6/8)
where pi = 3.14
Then we have:
w = pi*(6/8)
A = 4
M = 2
p = 0
Then the cosine function is:
f(x) = 4*cos(pi*(6/8)*x) + 2.
4 5/6 - 4 1/3 in simplest form
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4\dfrac{5}{6}-4\dfrac{1}{3}\ =}[/tex]
[tex]\mathsf{4\dfrac{5}{6}=\bf \dfrac{29}{6}}[/tex]
[tex]\mathsf{4\dfrac{1}{3}=\bf \dfrac{13}{3}}[/tex]
[tex]\mathsf{\dfrac{29}{6}-\dfrac{13}{3}}[/tex]
[tex]\mathsf{\dfrac{(29\times3)-(13\times6)}{6\times3}}[/tex]
[tex]\mathsf{29\times3 = \bf 87}\leftarrow \large\textsf{\underline{NUMERATOR}}[/tex]
[tex]\mathsf{13\times6= \bf 78}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]
[tex]\mathsf{\dfrac{\bf 87-78}{6\times3}}[/tex]
[tex]\mathsf{87-78=\bf 9}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]
[tex]\mathsf{\dfrac{\bf 9}{6\times3}}[/tex]
[tex]\mathsf{6\times3 = \bf 18}\leftarrow\large\textsf{\underline{DENOMINATOR}}[/tex]
[tex]\mathsf{\dfrac{9}{\bf 18}}[/tex]
[tex]\mathsf{\dfrac{9\div9}{18\div9}}[/tex]
[tex]\mathsf{9\div9=\bf 1}\leftarrow \large\textsf{NUMERATOR}[/tex]
[tex]\mathsf{\dfrac{\bf 1}{18\div9}}[/tex]
[tex]\mathsf{18\div9= \bf 2}\leftarrow\large\textsf{DENOMINATOR}[/tex]
[tex]\mathsf{ = \dfrac{1}{\bf 2}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf \dfrac{1}{2}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which statement describes the definition of a function?
Answer:
an activity or purpose natural to or intended for a person or thing.
Step-by-step explanation:
: >
The function definition is given below..
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function is a relation that has an input and an output.
All the possible outputs are called codomains.
The inputs are called the domains.
The outputs are called the range.
A function can be many-to-one but not one-to-many.
Example:
f(x) = x²
For x = 1 and x = -1
f(x) = (1)² = 1 and f(x) = (-1)² = 1
This is many to one.
Thus,
The function definition is given above.
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A circle has an approximate circumference of 15.7 ft. and a radius of 2.5 ft. Based on this
circle, which ratio is equivalent to the value of ?
Answer:
C
Step-by-step explanation:
[tex]\pi = 3.14[/tex]
15.7/5=3.14
С
15 cm
X cm
A
8 cm
B.
Answer:
17
Step-by-step explanation:
This is Pythagorean Theorem. AB is the "a" side, BC is the "b" side, and the x (or AC) is the hypotenuse. In Pythagorean Theorem, a^2 + b^2 = c^2 is used to find the hypotenuse, or in this case, segment AC. We find this by doing 8^2 + 15^2 which gives us 289. We then take the square of that which is 17 to find the hypotenuse, or the length of line segment AC
Brainliest pls
Consider the function f(x) = 3x
a. How would you change the original function to shift the graph 5 units
upwards?
Answer:
f(x)=3x+5
Step-by-step explanation:
just plus 5 when moving up, mines 5 when moving down
Please give brilianst!!!!
Thank you
help!! will mark brainliest
use the following coordinate plane to write the ordered pair for each point.
Answer:
A (-2.5,0)
b(3,3)
c(1,-4)
Step-by-step explanation:
Convert these improper fractions into mixed numbers.
5/4
Answer:
1 1/4
Step-by-step explanation:
4/4 + 1/4 = 5/4
4/4 = 1
so 1 1/4
Answer: 1 1/4
Step-by-step explanation: first we have to find the whole number then we divide the numerator and the denominator. then we are only interested in the whole numbers so we ignore the one to the right of the decimal. then we will used the whole number we calculated in step one and multiply it by the original denominator then is subtracted from original numerator. our next step is to simplify. then when that down we need to calculate the greatest common factor.
Plsss help!!!
Evaluate for C when F =77º
C = 5/9 (F – 32)
A. 25
B. 45
C. 60
D. 80
Answer:
A. 25°C
Step-by-step explanation:
C=5/9(77-32)
C=5/9(45)
C=25°C
To convert from Celsius to Fahrenheit. We apply the following formula:
[tex]\bf{^{\circ}C= \dfrac{5}{9}(^{\circ}F-32) \ \longmapsto \ Formula }[/tex]
We substitute the number 77 where the Fahrenheit degrees are, and we are left with the following form.
[tex]\bf{^{\circ}C= \dfrac{5}{9}(77-32) \ \longmapsto \ \ Subtract \ 32 \ from \ 77. }[/tex]
[tex]\bf{^{\circ}C= \dfrac{5}{9}\times45 \ \longmapsto \ \ Multiply \ 5*45, divide \ by \ 9 }[/tex]
[tex]\bf{^{\circ}C=25}[/tex]
So 77 Fahrenheit, on the Celsius scale is 25.So the correct alternative is option "A".
A rectangular boad is 1100 millmeters long and 900 millmeters wide. what is the area of the board in square meters?
Answer:
1100 mm = 1.1 m, and 900 mm = 0.9 m.
So the area is 1.1 x 0.9 = 0.99 m^2
The area of the rectangular board is 0.99 square meters.
Given that a rectangular board is 1100 millimeters long and 900 millimeters wide.
We need to find the area of the board,
To find the area of the rectangular board in square meters, we need to convert the given dimensions from millimeters to meters and then calculate the area.
Given:
Length of the board = 1100 millimeters
Width of the board = 900 millimeters
To convert millimeters to meters, we divide the given values by 1000:
Length in meters = 1100 mm / 1000 = 1.1 meters
Width in meters = 900 mm / 1000 = 0.9 meters
The formula to calculate the area of a rectangle is:
Area = Length × Width
Substituting the values, we get:
Area = 1.1 meters × 0.9 meters
Area = 0.99 square meters
Therefore, the area of the rectangular board is 0.99 square meters.
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The sum of a number and twice a second number is 29. The second number is ten less than three times the first number. What are the two numbers?
Also, write the two equations.
the sum of a number and twice a second number
How do you do long divisions for 2 divided by 3339
Answer:
3339/2=1669.5
Step-by-step explanation:
Using the digits 1 to 5 , Atmos one time, placed a digit in each box to create an expression which is the largest possible value.
Answer:
4^5+2x3
Step-by-step explanation:
4^5+2x3
what fraction is 15 minutes of 1 hour
Answer:
1/4
Step-by-step explanation:
Convert 1 hour to minutes
1 hour = 60 minutes
Then you can find the fraction
15/60
simplifies to 1/4
15 minutes is 1/4 of 60 minutes/1 hour
PLEASE HELP!
Dean owes $14 on his credit card. He subtract five dollars from his credit card debt by making a payment. Dean
writes this subtraction equation to represent what he owes now. how much money does Dean owe now?
-14 - (-5)=?
answer options:
Dean owes $19
Dean owes $9
Dean has a positive $9
Dean has a positive $19
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Estela brushes her teeth for t minutes twice a day. She uses the expression t×2×365 to represent how many minutes she spends brushing her teeth each year. Write an equivalent expression. Then explain what information is in your expression that is not in the original expression of t×2×365.
What is the perimeter of the figure?
O 34 m
O 44 m
O 62 m
0 72 in
Answer:
62 m
Step-by-step explanation:
WILL GIVE BRAINLIEST
find the missing length
Answer:
Correct Answer is A. 3 times root 5.
Step-by-step explanation:
We all know that in a right angled triangle, the square of both sides is equal to the square of hypotension.
hence,
a^2 + b^2 = c^2
a^2 + (2)^2 = (7)^2
a^2 + 4 = 49
a^2 = 49-4
a^2 = 45
a = root of 45 which is 6.7082
which can be written as 3 times root 5
Which graph represents the line that has a -intercept of 3 and goes through the point (2, 5) ?
Answer:
The second one
Step-by-step explanation:
Answer:
Is the third one,as you can see it goes thru the point (2,5)
Step-by-step explanation:
Jennifer and Micaela are selling pies for a school fundraiser. Customers can buy apple pies and pumpkin pies. Jennifer sold 4 apple pies and 5 pumpkin pies for a total of $86. Micaela sold 8 apple pies and 2 pumpkin pies for a total of $92. Find the cost each of one apple pie and one pumpkin pie.
9514 1404 393
Answer:
apple $9pumpkin $10Step-by-step explanation:
Let 'a' and 'p' stand for the prices of apple and pumpkin pies, respectively. Then the two sales are described by ...
4a +5p = 86
8a +2p = 92
Subtract half the second equation from the first to eliminate the 'a' variable.
(4a +5p) -(1/2)(8a +2p) = (86) -(1/2)(92)
4p = 40 . . . . . simplify
p = 10 . . . . . . . divide by 4
Substitute into the first equation:
4a + 5(10) = 86
4a = 36 . . . . . subtract 50
a = 9 . . . . . . . divide by 4
One apple pie costs $9; one pumpkin pie costs $10.
How many solutions does the following equation have 6x-4=-4+6x
How can you find the missing angle measurement of a triangle if you know the measurement of the other 2 angles using an equation
hello
Step-by-step explanation:
180 - (sum of known angles) = missing angle
you can substitute the values
angles in a triangle add up to 180
Describe each graph in relation to its basic function.
a. Compare f(x) = (x - 2)^3 - 1 to the basic function g(x) = x^3
Explain in full sentences please!
Answer:
In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.
Step-by-step explanation:
Let be [tex]g(x) = x^{3}[/tex] the parent function, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation, that is:
[tex]f(x) = g(x-a)-b,\,a,b\in\mathbb{R}[/tex] (1)
If [tex]a > 0[/tex], then translation is rightwards.
If [tex]b > 0[/tex], then translation in downwars.
If [tex]a = 2[/tex] and [tex]b = 1[/tex], then the resulting function is:
[tex]f(x) = g(x-2)-1[/tex]
[tex]f(x) = (x-2)^{3}-1[/tex] (2)
In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.
PLEASE HELP!!!! Parallelogram
Answer:
B) 120 degrees
Step-by-step explanation:
The two triangles are the same, so first find the measure of angle B.
To do this first solve for angles A and C. Solve for A first: 4x or 4(5), which is 20 degrees. Now solve for C: 8x or 8(5), which is 40 degrees. Add 40 + 20 degrees to get 60 degrees total of those two angles.
A triangle has 180 total degrees, so to solve for the measure of Angle B, subtract 180 - 60 to get 120 degrees.
Since the two triangles are the same, Angle D is the measure as Angle B.
Hope it helps!
4. A map has a scale factor of 1 cm = 15 miles
a. What is the distance (real life) if two cities are 2.5 cm apart on the map?
can anyone help please ?
Kristin draws a different circle. The radius of Kristin's circle is 1/2 the radius of Ben's circle. Which statement is true about Kristin's
circle?
O A The area of Kristin's circle is 2 times the area of Ben's circle.
OB. The area of Kristin's circle is 4 times the area of Ben's circle.
C. The area of Kristin's circle is 1/4 the area of Ben's circle.
D. The area of Kristin's circle is 1/2 the area of Ben's circle
Help please hurry !!
Answer:
[tex]\large\boxed{\textsf{Option D.}}[/tex]
Step-by-step explanation:
[tex]\textsf{For this problem, we are asked to compare the areas between Kristin's and Ben's circle.}[/tex]
[tex]\textsf{To start, we should know that the Radius plays an important role for the area.}[/tex]
[tex]\Large\underline{\textsf{What is the Radius?}}[/tex]
[tex]\textsf{The \underline{Radius} is a \underline{line segment} that starts at the \underline{center} of the circle, and ends at}[/tex]
[tex]\textsf{a point on the \underline{circumference} of the circle. (\underline{Arc})}[/tex]
[tex]\large\underline{\textsf{Area of a Circle:}}[/tex]
[tex]\mathtt{Area = \pi (radius)^{2}}[/tex]
[tex]\textsf{The Radius \underline{determines} what the area of the circle is.}[/tex]
[tex]\textsf{Because Kristin's radius is 1/2 of Ben's radius, \underline{the area will be 1/2 of Bens}.}[/tex]
[tex]\large\boxed{\textsf{Option D.}}[/tex]
Which statement about the reflection below is true?
Answer:
Can you show us the statements?
Step-by-step explanation:
Find the area of the triangle using Pythagorean theorem
Answer:
48
Step-by-step explanation:
Remark
Use a^2 + b^2 = c^2 to solve for the height.
Givens
c = 10
b = 6
h = ?
Solution
b^2 + h^2 = c^2
6^2 + h^2 = 10^2
36 + h^2 = 100 Subtract 36
h^2 = 100 - 36
h^2 = 64 Take the square root of both sides
sqrt(h^2) = sqrt(64)
h = 8
The height = 8
Area = 1/2 * b * h
Area = 1/2 *12 * 8
Area = 48
Comment
You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12
the ratio of red apples to green apples is 2:3 if there are 21 green apples how many red apples are in the basket
Answer:
49
Brainliest :)
solve for x. Please show work
Answer:
9
Step-by-step explanation:
a rectangular solid has 6 cm by 6 cm by 6 cm is painted on all six faces then the solid is cut into cubes that measures 2 cm on each side how many cubes have only one face painted