a. Radius and diameter of a circle is proportional
b. Radius and circumference of a circle is proportional
c. Radius and area of a circle is not proportional
d. Diameter and circumference of a circle is proportional
e. Diameter and area of a circle is not proportional
Given that,
We have to find the pair of quantities are proportional to each other.
We know that,
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
We know
a. Radius and diameter of a circle is proportional because d=2r
b. Radius and circumference of a circle is proportional because C = 2πr
c. Radius and area of a circle is not proportional because A = πr² non linear relationship.
d. Diameter and circumference of a circle is proportional C = πd
e. Diameter and area of a circle is not proportional A = πd²
To learn more about proportional visit: https://brainly.com/question/29690231
#SPJ1
Isabella is 30 miles into a 70-mile backpacking trip in the wilderness.
Isabella can hike 8 miles per day. How many more days does Isabella
need to finish?
Isabella needs how
more days.
Answer: Five Days
Step-by-step explanation:
Isabella can hike 8 miles per day. So:
[tex]\frac{30miles}{8miles} = 3.75 days[/tex]
It will take:
[tex]\frac{70 miles}{8 miles} = 8.75 days[/tex]
..in total to hike 70 miles.
So, subtracting the two values:
[tex]8.75 - 3.75 = 5[/tex]
She still needs to hike five days in order to finish the trail.
Quadrilateral TEAMTEAMT, E, A, M i rotated -180^\circ−180
∘
minu, 180, degree about the origin
The quadrilateral's image points will be,A(3, 3) → A'(-3, 3) R(5, 7) → R'(-7, 5) M(7, 5) → M'(-5, 7) Y(5, 1) → Y'(-1, 5).
If a point (x, y) is rotated 180 degrees anticlockwise with respect to the origin, the rotational rule is:
(x, y) → (-y, x) (-y, x)
Consequently, the image point's coordinates following rotation will be (-y, x).
Using this guideline,
The quadrilateral's image points will be,
A(3, 3) → A'(-3, 3)
R(5, 7) → R'(-7, 5)
M(7, 5) → M'(-5, 7)
Y(5, 1) → Y'(-1, 5)
By graphing the image points we can get the graph of the image quadrilateral A'R'M'Y'.
Know more about quadrilateral
https://brainly.com/question/30291709
#SPJ4
The question is incomplete, complete question:
Quadrilateral ARMY is rotated 180 degrees about the origin. Draw the image of this rotation.
explain what the slope and intercept mean in each situation the amount of money y in a cash box after x tickets are purchased for carnival games. The slope of the line is 1/4 and the y intercept is 8
Answer:
The (1/4) slope is the prive per ticket. The y intercept is the money in the cash box before any tickets were sold.
Step-by-step explanation:
Let y be the money and x the numbers of tickets sold, as requested. We are told that the equation for this situation is:
y = (1/4)x + 8
Let's assume the money is in units of dollars. The slope of (1/4) would mean that each carnival game ticket cost $(1/4), or 25 cents. The y-intercept is the value of y when x=0, which means zero tickets have been sold. That means that the cash box had $8 before any sales were made. [perhaps to use for making change].
On a assembly line, 2 parts can be made per minute. There are 8 parts already made. To determine how many more minutes (x) it will take to make y total parts, the equation y=2x + 8 is written. What is the description of a solution to this problem?
The description of a solution to the problem modeled by the function y = 2x + 8 is given as follows:
The time needed to complete 40 parts is of 16 minutes.
What is the interpretation for the function in this problem?The function for this problem is defined as follows:
y = 2x + 8.
In which the variables are defined as follows:
x is the time in minutes.y is the number of parts produced.Hence, solving the function for x, we are going to obtain the time needed to produce y parts, giving the description of a solution for this problem.
When y = 40, the solution for x is given as follows:
40 = 2x + 8
2x = 32
x = 32/2
x = 16 minutes.
The interpretation of this solution is that a time of 16 minutes is needed to obtain a production of 40 parts.
More can be learned about functions at https://brainly.com/question/25537936
#SPJ1
What is the degree of the polynomial of 5x²y 8xy² 9?
The polynomial is a mathematical expression containing variables and coefficients and can be written as a sum of terms of various degrees. In this case, the polynomial is composed of three terms of varying degrees: 5x²y, 8xy² and 9. The degree of this polynomial is the highest degree of the terms, which is 4.
1. Identify the terms of the polynomial: 5x²y, 8xy² and 9
2. Identify the degree of each term: 5x²y has degree 3, 8xy² has degree 4 and 9 has degree 0
3. Determine the highest degree among the terms: The highest degree is 4
4. The degree of the polynomial is then the highest degree among the terms, which is 4.
A polynomial is a mathematical expression consisting of variables and coefficients and can be written as a sum of terms of varying degrees. In this case, the polynomial consists of three terms: 5x²y, 8xy² and 9. To determine the degree of the polynomial, we must first identify the degree of each term. The term 5x²y has degree 3, the term 8xy² has degree 4 and the term 9 has degree 0. The degree of the polynomial is then the highest degree among the terms, which is 4. This means that the polynomial has a degree of 4, as the highest degree among its terms is 4. The degree of a polynomial is an important factor in solving equations and other mathematical problems, as it can determine the complexity of the equation.
Learn more about polynomial here
https://brainly.com/question/11536910
#SPJ4
if x-3 is directly proportional to the square y and x=5 when y=2 find x when y=6
Answer:
If x-3 is directly proportional to the square of y, then we can say that:
(x-3) = ky^2
Where k is a constant of proportionality.
If x=5 when y=2, we can substitute these values into the equation to find the value of k:
(5-3) = k(2)^2
2 = 4k
k = 0.5
Now that we have the value of k, we can use it to find the value of x when y=6:
(x-3) = (0.5)(6)^2
x-3 = 18
x = 21
So, if x is directly proportional to the square of y and x=5 when y=2, then x=21 when y=6.
Joe the hiker decided to take a rest at the gas station before Kingston. While sitting at the picnic table, he noticed that there were many cars in the parking area. There were three times more silver colour cars than red cars. There were 2 more blue cars than red and silver cars together. There were twice more white cars than red. Joe counted 42 cars altogether in the parking lot.
How many white cars were there?
how many blue cars were ther?
how many red cars were there?
how many silvers were there
There are 7 white cars, 16 blue cars, 14 red cars and 5 silver cars.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let w represents white cars
b represent blue carr
r represents red cars
s represents silver cars
There were three times more silver colour cars than red cars
3s=r...(1)
There were 2 more blue cars than red and silver cars together
b+2=r+s..(2)
There were twice more white cars than red.
2w=r..(3)
42 cars altogether in the parking lot.
w+b+r+s=42
After solving the above equation we get
s=5, b=16, w=7 and r=14
Hence, there are 7 white cars, there are 16 blue cars, there are 14 red cars and 5 silver cars.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
What is the equation of the function
shown in the graph, given that the
equation of the parent function is
f(x) = (-/-)² ?
(}})
The equation of the function shown in the graph is f(x) = (-2x)^2.
What is function?In mathematics a function is a relation between two states that assigned to each element of the first set exactly one element of the second set in order words it is the rule that is describe how unstead of values is related to another set a values function are used to model real voice scenario and to solve mathematical problems example of function include linear equation polynomials and trigonometric function.
This is based on the equation of the parent function, which is f(x) = (-/-)^2. The graph shows that the function has been shifted two units to the left, which is why the coefficient of x is -2 instead of -1.
To know more about function click-
https://brainly.com/question/25638609
#SPJ1
Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation.
Suppose an angle has a measure of 2. 1 radians.
This angle (with a measure of 2. 1 radians) is what percent of a full rotation?
 %
Use your work in part (i) to determine the measure of the angle in degrees.
 degrees
If there are [tex]2\pi[/tex] radians and [tex]360 \textdegree[/tex] in one full rotation and an angle has a measure of [tex]2.1 radians[/tex] then the angle is 33.4 percent of a full rotation , and the measure of the angle in degrees is [tex]120.2\textdegree[/tex] .
we know that in 1 full rotation , the radians is 2π ;
and in 1 full rotation , the degree is 360 degree ;
We know that the relation between the degree and the radian measure is
⇒ [tex]1 radian = \frac{180\textdegree}{\pi }[/tex] ;
Part(i) ;
we have to express the 2.1 radians as a percent of full rotation ;
we get ; ⇒ [tex]\frac{2.1}{2\pi } \times 100\%[/tex]
on simplifying further ,
we get ; [tex]\approx 33.4\%[/tex] .
Part(ii) ;
we have to determine the measure of the angle in degrees.
from part(i) , we find the percent is [tex]33.4\%[/tex] ,
So , [tex]33.4\%\times 360\textdegree[/tex]
On simplifying ,
⇒ [tex]\frac{33.4}{100} \times 360\textdegree[/tex]
[tex]\approx 120.2\textdegree[/tex] .
Learn more about Angles here
https://brainly.com/question/21506238
#SPJ4
In 2010, the population of a city was 59,000. From 2010 to 2015, the population grew by 7.3%. From 2015 to 2020, it fell by 5.3%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
To the nearest percent, the percent by which the population grew from 2010 to 2020 is; 2%
How to find the percentage growth?Percentage increase is defined as the difference between the final value and the initial value, expressed in the form of a percentage.
Now, we are told that;
Initial Population in 2010 = 59000
From 2010 to 2015, the population grew by 7.3%. Thus;
Population in 2015 = 1.073 * 59000 = 63307
Now, we are told that from 2015 to 2020, it fell by 5.3%. Thus;
Population in 2020 = 63307 * (100% - 5.3%)
= 59952
Thus, percentage increase from 2010 to 2020 = (59952 - 59000)/59000) * 100% = 1.61% ≈ 2%
Read more about Percentage Growth at; https://brainly.com/question/28398580
#SPJ1
I have a 1 in the ones place, a 4 in the tens place, and a 5 in the hundreds place.
Answer:
541
Step-by-step explanation:
if you have a 1 in the ones place and a 4 in the tens place and a 5 in the hundreds place this will be your number
How do you find the inverse of a 4x4?
By adding a duplicate of the identity matrix to the augmented matrix, which was formed, it is possible to find the inverse of a square matrix using row reduction.
If the matrix is capable of being reduced to the identity, the identity matrix will simultaneously change into the inverse matrix. A rectangular array of numbers, arranged in rows and columns, is referred to as a matrix. The dimension, or order, of a matrix, indicates how many rows and columns there are in the array. For example, if a matrix has m rows and n columns, its order is expressed as mxn.
Correct Question :
How do you find the inverse of a 4x4 matrix?
To learn more about matrix here:
https://brainly.com/question/28180105
#SPJ4
lamar bought v vanilla cupcakes and 8 chocolate cupcakes for the party write an expression that shows how many cupcakes lamar bought in all
Answer:
8 + v
Step-by-step explanation:
assuming Lamar didn't buy any other cupcakes outside of the chocolate and vanilla ones mentioned, the expression that gives you the total amount of cupcakes bought for the party is 8 + v. since you don't know the number of vanilla cupcakes Lamar bought, it is represented as the variable v in this problem. Then just add 8 and the variable v together. hope this helped :]
A hockey team scored the following number of goals in their last 5 games:
2,3,5, 3,2
Which is the mean absolute deviation of the number of goals?
Hurry pls
The mean absolute deviation of the number of goals is 0.8 goals
What is Mean Absolute Deviation ?The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data collection. A measure of variance in a data collection is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.
The average distance between data points and a center point is referred to as mean absolute deviation. N is the number of words in the sample, where xi is the sample's individual value and x is the sample's mean or average.
Enter the numbers in the provided input box, separated by commas.To determine the mean absolute deviation for a set of data, click the "Calculate" button.To obtain the mean absolute deviation for the various figures, click the "Reset" option to clear the fields.The mean of the goals scored is = (2+3+5+3 +2)/5 = 3
The Mean Absolute Deviation is = [tex]\frac{1}{5}\{|(2-3)| + |(3-3)| + |(5-3)| + |(3-3)| + |(2-3)|}\}\\[/tex] = 4/5 = 0.8
To learn more about Mean Absolute Deviation refer to :
https://brainly.com/question/13269532
#SPJ4
A line is parallel to y = 4x + 11 and
intersects the point (-2, 4). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x − x1)
Then write the equation in slope-intercept form.
Enter
Answer:
y=4x+12
Step-by-step explanation:
if a line is parallel to another they have the same slope ,,
y=mx+c
where m represents the slope
and c represents the intercepted part of y axis
so the slope equals 4 from y=4x+11
to find the intercepted part c ,, substitute by the given point in the equation y=mx+c
(-2,4),, and slope is 4
4= 4×-2+c
4= -8+c
c= 12
so the equation is
y=4x+12
Answer:
y =4x-18
Step-by-step explanation:
y +2 = 4(x - 4)
y +2 =4x-16
y = 4x-18
I don’t know this question
help me
The number of groups of like terms is 3
What is an algebraic expression?An algebraic expression is defined as an expression made up of terms, variables, coefficients, constants, and factors.
These algebraic expressions are also composed of mathematical operations, such as;
AdditionSubtractionDivisionBracketParenthesesMultiplication, etcA term can be described a single variable, number or numbers and variables that are multiplied together.
From the information given, we have the terms;
3x¹³, 9x¹⁰, -1x¹³, -16x¹³, 3x¹⁰, 3¹³, 10x¹⁰, 13x¹⁰
The similar terms are;
3x¹³, 3x¹⁰, 3¹³
Hence, the number is 3
Learn more about terms here:
https://brainly.com/question/7882626
#SPJ1
I’m doing math homework and is about functions they said f(x)= x-3 and g(x)= √x-2
After I set them up I have this
am I supposed to just add the numbers or is there something else to do?
√ (x-3)-2
Answer: It looks like you are trying to find the value of the function h(x) = √ (x-3) - 2.
To find the value of this function for a given value of x, you need to substitute the value of x into the function definition and simplify the expression.
For example, if you want to find the value of h(x) for x = 5, you would substitute 5 for x in the function definition and simplify the expression to get:
h(5) = √(5-3) - 2
= √2 - 2
= 1.4 - 2
= -0.6
Therefore, the value of h(x) for x = 5 is -0.6.
You can follow this same process to find the value of h(x) for any other value of x. Just be sure to substitute the correct value of x into the function definition and simplify the expression to find the final result.
Step-by-step explanation:
Answer:
g[f(x)]
Step-by-step explanation:
Given functions:
[tex]f(x)=x-3[/tex]
[tex]g(x)=\sqrt{x}-2[/tex]
Composite functions are when the output of one function is used as the input of another.
Therefore, to create √(x-3)-2, substitute the function f(x) in place of the x in function g(x):
[tex]\begin{aligned}\implies g[f(x)]&=\sqrt{f(x)}-2\\&=\sqrt{x-3}-2\end{aligned}[/tex]
Solved previously.How many three-digit positive integers $x$ satisfy $3874x 481\equiv 1205 \pmod{23}$
The solution indicates 40 positive three-digit integers of this kind are available.
What are Positive integers?The numbers used for counting as well as organizing are known as natural numbers in mathematics. Cardinal numbers and ordinal numbers are two different types of numbers that are used for counting and ordering, respectively.
Which of these integers are negative?Left of zero on the number line, a negative number is an integer. It is not zero, though.
According to the given information:Any solution x will mod 23 will also have x+23n as a solution, for some integer n.
Since;
900/23 = 39 3/23,
we know:
There are 39 or 40 three-digit integers of this form.
As it happens,
100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n,
hence 40 solutions to the equation.
The equation reduces, mod 23, to
10x = 11
Its solutions are x = 23n +8.
This shows There are 40 three-digit positive integers of this form.
To know more about positive integers visit:
https://brainly.com/question/24929554
#SPJ1
Determine the range of f(x) = x + 51.
A-{yl-00
B-{y 1-5
C-{y|0 ≤y <∞0}
D-{y | 5 ≤y < 00}
Answer:
90670998.89999999999999
PLEASE HELP ASAP!!!
ABCD is an isosceles trapezoid with legs ▁AB and ▁CD, and base ▁BC.
If the length of ▁AB = -3y+54, the length of ▁BC = 5y+ 2, and the length of ▁CD is 6y + 9, find the value of y.
The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.
What is Triangle ?
Triangle can be defined as which contains three sides, three angles and the sum of the angles is 180 degrees.
Given ,
ABCD is an isosceles trapezoid with legs AB and CD and base BC.
If the length of AB is (7y - 4),
the length of BC s (4y - 6),
and the length of CD is (8y - 18).
The two legs are of equal length In any isosceles trapezoid that means:
7y - 4 = 8y - 18
Add 18 on both sides in the above equation.
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y
Now, subtract 7y on both sides in the above equation.
7y + 14 - 7y = 8y - 7y
Simplify the above expression in order to get the value of 'y'.
y = 14
To learn more about Triangle from the given link
https://brainly.com/question/14366937
#SPJ4
Leo's bank balances at the end of months 1, 2, and 3 are $1,500.00, $1,530.00, and $1,560.60, respectively. The balances form a geometric sequence.
What will Leo's balance be after 8 months?
Leo's bank balance will be $
after 8 months.
Leo's balance after 8 months is $1725.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Example:
2, 4, 8, 16 is a geometric sequence.
We have,
1500, 1530, and 1560 is a geometric sequence.
First term.
a = 1500
Common ratio.
r = 1.02
The nth term of a geometric sequence is a[tex]r^{n-1}[/tex].
Now,
For n = 8,
8th term.
= 1500 x [tex]1.02^7[/tex]
= 1500 x 1.15
= 1725
Thus,
The balance after 8 months is $1725.
Learn more about geometric sequence here:
https://brainly.com/question/2321576
#SPJ1
Find the centre focus,vertex,directrix and axis of each parabola and sketch the graph? (x-1)² = y+2
Answer:
Step-by-step explanation:
The equation for a parabola is of the form y = ax^2 + bx + c, where a, b, and c are constants. The graph of a parabola is a U-shaped curve that is symmetrical about a line called the axis of symmetry.
In the equation (x-1)^2 = y+2, we can rewrite it as y = (x-1)^2 - 2. This is the standard form of a parabola with a = 1, b = 0, and c = -2.
The vertex of the parabola is the point on the graph where the parabola reaches its highest or lowest point. For a parabola in standard form, the vertex is always of the form (h,k), where h and k are the values of x and y, respectively, at the vertex. The vertex of this parabola is (1,-2).
The axis of symmetry of the parabola is a line that divides the parabola into two mirror images. For a parabola in standard form, the axis of symmetry is always the line x = h, where h is the value of x at the vertex. The axis of symmetry of this parabola is the line x = 1.
The directrix of a parabola is a line that is used to define the parabola. For a parabola in standard form, the directrix is always the line y = k + p, where k and p are constants and p is the distance from the vertex to the directrix. The directrix of this parabola is the line y = -2 + p, where p is the distance from the vertex to the directrix.
The focus of a parabola is a point on the axis of symmetry that is used to define the parabola. For a parabola in standard form, the focus is always the point F(h,k+p), where h and k are the values of x and y, respectively, at the vertex, and p is the distance from the vertex to the directrix. The focus of this parabola is F(1,-2+p), where p is the distance from the vertex to the directrix.
To sketch the graph of this parabola, we can start by plotting the vertex at (1,-2). Then we can draw the axis of symmetry, which is the line x = 1. Next, we can choose a value for p and draw the directrix y = -2 + p. Finally, we can use the vertex and focus to plot points on either side of the axis of symmetry, and connect these points to form the U-shaped curve of the parabola.
[asy]
unit size(1cm);
real p = 1.5;
pair F, V;
F = (1,-2+p);
V = (1,-2);
draw((-2,0)--(4,0));
draw((0,-4)--(0,4));
draw((-2,V.y)--(4,V.y),dashed);
draw((F.x,p)--(F.x,-4),dashed);
label("$x$", (4,0), E);
label("$y$", (0,4), N);
label("$y = (x - 1)^2 - 2$", (4,-3), E);
a dot("$F$", F, NW);
a dot("$V$", V, S);
label
I
need to show work please help me its due tomorrow
Answer:
#1
Step-by-step explanation:
boxes apples
3 6
6 12
9 18
10 20
ratio of apples to boxes is 2:1. 2 apples each box. Divide the number of apples by 2 to get the number of boxes. multiply boxes by 2 to get apples.
#2
boxes cherries
3 12
5 20
6 24
7 28
if you divide cherrie by 4 you get the number of boxes.
Multiply boxes by 4 to get cherries.
Ratio of cherries to boxes is 4 to 1.
A et of 3 card, pelling the word ADD, are placed face down on the table. Determine P(D, D) if two card are randomly elected with replacement. One third
two third
two ixth
four ninth
The probability of the two cards being D and D, P(D, D), is 4/9. The correct option is: 4/9.
What is probability?A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.
Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.
Calculating probability of selecting a card:
From the question, we are to determine the probability of selecting two cards with D and D
From the formula for probability, we have that
P(D) = Number of favorable outcomes to D / Total number of possible outcomes
From the given information,
Number of favorable outcomes to D = 2
Number of possible outcomes = 3
Thus,
P(D) = 2/3
Then,
The probability of selecting two cards that have D and D with replacement is
P(D, D) = P(D) × P(D)
P(D, D) = 2/3 × 2/3
P(D, D) = 4/9
Hence, the probability is 4/9.
To know more about probability refer to:
brainly.com/question/24756209
#SPJ4
What is 2/3 + 1/6 + 2/8
Answer:
2/3 + 1/6 + 2/8
=(2×8+1×4+2×3)/24
=(16+4+6)/24
=26/24
=13/12
*mark me brainliest
What is the length of the hypotenuse of a 45 45 90 triangle with a leg of 12?
It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as 12/√2
since the hypotenuse is one of the legs multiplied by √2.
dividing the hypotenuse by √2 will get the length of one leg. since it is a 45 45 90 triangle, the length of the two legs are the same.
It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as:
By using the Pythagoras theorem, we have
a^2+b^2= c^2
Substituting the given values, we have
12/√2
Thus, the length of the hypotenuse will be
12/√2
learn more about of hypotenuse here
https://brainly.com/question/12407354
#SPJ4
Which function is shown on the graph?
of(x) = 1/2cos x
of(x) = -1/2cos x
Of(x) = -1/2sin x
Of(x) = 1/2sin x
The reasons and responses to the graphs in the question are as follows:
Graph 1.
The amplitude of the first graph is (1/2) which is the height from the midline to the peak
The value of the function at x = 0 is -(1/2), where sin(0) = 0, therefore, the function is a cosine function
The period of the graph is 2·π, which is the period of the parent cosine function
Therefore, the correct option is
Graph 2: Please find attached the graph of the function g(x) = 2×cos(x)
Graph 3: The frequency of a sinusoidal function is given as follows;
The period of the graph = π
Therefore;
The frequency of the sinusoidal graph is 2
Graph 4. Required:
To find the equation that represents the function of the graph
Solution;
The period of the function, T = π
The graph of the function has a maximum at x = 0, therefore, the graph is similar to a cosine function, y = cos(B·x)
Where;
B = 2·π/T
Therefore;
B = 2·π/π = 2
Therefore;
The equation that represent the function in the graph is f(x) = cos(2·x)
Question 5. The given function is f(x) = cos(2·x)
The frequency factor in the given function, B = 2
The period, T = 2·π/B
Therefore, T = 2·π/2 = π
The period of the function, f(x) = cos(2·x), is 2
To learn more about sinusoidal function refer to:
https://brainly.com/question/9133917
#SPJ1
solve for x, Give your answer as a fraction or decimal rounded to the nearest hundredth.
Using the fact that the triangles are similar, we will see that:
x = 5.626
How to find the value of x?On the image we can see two triangles, such that one is inscribed on the other.
Just because of that, it is obvious that the two triangles are similar.
And because the triangles are similar, the quotients between correspondent sides must be equal, that allows us to write the equation:
3/x = 8/15
The quotient is "left side over the bottom side"
We can solve that equation for x:
3/x = 8/15
3 = (8/15)*x
(15/8)*3 = x
45/8 = x
5.625 = x
That is the value of x.
Learn more about similar triangles by reading:
https://brainly.com/question/14285697
#SPJ1
Please tell me someone know I have to go back to school tomorrow
An equation for the function g(x) when g(x) = f(-x) is g(x) = -x/3 - 6, which is shown in the graph attached below.
What is a reflection?In Mathematics, a reflection can be defined as a type of transformation which moves every point of the geometric figure by producing a flipped, but mirror image of the geometric figure.
In Geometry, a reflection across the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By reflecting the given function across the across the y-axis (y = x), we have the following:
f(x) = x/3 - 6
g(x) = f(-x)
g(x) = -x/3 - 6.
Read more on reflection here: brainly.com/question/10260342
#SPJ1
The points (14, –3) and (–10, –3) fall on a particular line. What is its equation in slope-intercept form?
y = -3
Step-by-step explanation:Slope intercept form is y = mx + c.
"m" is the slope and "c" is the y-interecept.
The slope is calculated by dividing the change in y values by change in x values. However, you can see from these two points that as the value of x changes, the value of y stays the same (-3). This means the slope is zero, as it doesn't move up in the y-direction at all.
This means y = 0x + c
You can substitute 14 for y and -3 for x from the first point to get:
-3 = 0(14) + c
-3 = c
y = 0x + -3
Which is the equation of the line in slope-intercept form.
This is the same as saying y = -3, as for every x value, y will always be -3.