The linear function f(x) has a slope of -5 and intersects the y-axis at the point (0, 45). The function g(x) intersects the x-axis closer to zero than the function f(x). Option D
What is a function?Generally, To find the x-intercepts of a linear function, you can set the y-value equal to zero and solve for x.
For the function f(x), we have:
f(x) = -5x + 45
0 = -5x + 45
5x = 45
x = 9
So the x-intercept of f(x) is (9, 0).
For the function g(x), we have:
g(x) = -5x - 10
0 = -5x - 10
5x = 10
x = 2
So the x-intercept of g(x) is (2, 0).
Since the x-intercept of g(x) is closer to zero than the x-intercept of f(x), the correct answer is D. The function g(x) intersects the x-axis closer to zero than the function f(x).
Read more about function
https://brainly.com/question/12431044
#SPJ1
A star with a parallax angle of 1/20 arcseconds is a) 10 parsecs away b) 20 parsecs away c) 1/20 parsecs away d) 20 light-years away
The star is 20 parsecs away which is approximately equal to 63.66 light-years away.
What is parallax angle ?
The parallax angle, also known as the parallax shift or the annual parallax, is the angle between the observer's line of sight to a celestial object at two different points in the Earth's orbit. It is a method used to measure the distance to stars and other celestial objects.
The parallax angle is defined as the angle between the observer's line of sight to the star at two different points in Earth's orbit. The distance to a star can be calculated using the formula ,
Distance = 1 / parallax angle (in arcseconds)
In this case, the parallax angle is 1/20 arcseconds, so the distance to the star is,
Distance = 1 / (1/20) = 20 parsecs
Note that one parsec is equivalent to 3.26 light-years.
So the star is 20 parsecs away which is approximately equal to 63.66 light-years away.
To learn more about parallax angle visit : brainly.com/question/3527534
#SPJ4
Which of the following rational functions is graphed below?
A. F(x) = (x+7)(x-2)
B. F(x)=(x+7)(x-2)
C. F(x)=(x-7)(x+2)
D. F(x)=(x-7)(x+2)
Vertical lines that are dotted at: as a result, and the numerator is zero. The graphed function is as follows: 1 / (x+3)(x-7)
what is functions ?The study of mathematics comprises the study of quantities and their variations, equations and associated structures, shapes and their positions, and locations where they can be found. A combination of inputs and corresponding outputs are referred to as a "function," which describes the relationship between them. The term "function" refers to an association between inputs and outputs where each input produces a single, unique result. There are two domains, or scopes, assigned to each function. Usually, the symbol f is used to signify functions (x). X is the input. There are four basic categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
X values for which the function is not defined, or points beyond a function's domain, are referred to as vertical asymptotes;
These vertical asymptotes are shown in a graph by vertical lines that are dashed.
A value of x when the function's denominator equals zero serves as an illustration.
In this diagram:
Vertical lines that are dotted at: as a result, and the numerator is zero.
The graphed function is as follows: 1 / (x+3)(x-7)
And option C provides the right response.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
What is the domain of the graph?
Question 2 options:
3 < y < 5
3 ≤ y ≤ 5
2 < x < 5
2 ≤ x ≤ 5
The domain of the graph is 2 ≤ x ≤ 5.
What is domain?Domain refers to the specific space of a website, including a domain name, associated IP address and a set of web pages that are hosted by a web server. Domain names are used to identify websites, and they are often used as a way to easily access a website. Domain names are assigned to each web server, allowing users to access the website by typing in the domain name instead of the IP address.
This means that all x-values must be greater than or equal to 2 and less than or equal to 5 in order for them to be part of the domain. This can also be written in interval notation as [2,5].
To know more about domain click-
https://brainly.com/question/2264373
#SPJ1
Consider the parent function below, and draw into the graph.
On solving the provided question, we can say that - the slope we have from the graph is [tex]m = \frac{y2 - y1}{x2 - x1}[/tex] +. m= 2
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
By the graph;
[tex](x1,x2) = (0,0)\\(y1,y2)=(2,1)[/tex]
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
m= 2
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ1
Fill in the blank is a graph of each data value plotted as a point. w/ is a graph of each data value plotted as a point. stemplot dotplot Pareto chart frequency polygon
A dot plot is a graph of each data value plotted as a point.
What is a dot plot and its functions?A dot plot, which also known as a strip plot or dot chart, is a simple form of data visualization which consists of data points plotted as dots on a graph with an x- and y-axis. A dot plot is used to encode data in a small circle or a dot. The dot plot is presented on a number line which displays the distribution of numerical variables where a value is described by each dot.
Dot plots are used for continuous, quantitative, univariate data. Data points may be marked if there are few of them. Dot plots are one of the simplest statistical plots, and are fit for small to moderate sized data sets. Dot plots are useful for highlighting the clusters and gaps, as well as the outliers.
Learn more about data visualization at: brainly.com/question/18597103
#SPJ4
What additional information is needed to prove the triangles are congruent by side-angle-side?
The corresponding angles and sides of the two triangles need to be given in order to prove congruence by side-angle-side.
In order to prove congruence by side-angle-side, the corresponding angles and sides of the two triangles must be given. The sides must be proportional, which means that two sides of one triangle must be equal to two sides of the other triangle, and the angles between these two sides must also be equal. In other words, if two sides of one triangle are equal to two sides of the other triangle, and the angle between those two sides is also equal, then the two triangles are congruent. This can be expressed as “If two sides and the included angle of one triangle are equal to the corresponding sides and angle of a second triangle, then the two triangles are congruent.” In order to prove congruence by side-angle-side, all of the corresponding sides and angles must be given in order to show that they are equal.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
The additional information that is needed to prove the triangles are congruent by Side-Angle -Side us that the corresponding angles and sides of the two triangles need to be given .
What is Side-Angle-Side Congruence ?
The Two Triangles can be called as Congruent by Side-Angle-Side rule if any 2 sides and angle included between sides of one triangle is equivalent to corresponding 2 sides and angle between sides of second triangle .
In order to prove the Congruence by Side-Angle-Side, the corresponding angles and the sides of the 2 triangles must be given.
The sides must also be in proportional, that means that the two sides of one triangle must be equal to two sides of other triangle, and
the angles between these two sides of the triangle must be equal.
So , In order to prove a triangle congruent by Side-Angle-Side, all of the corresponding sides and angles must be given in order to prove that they are equal.
Learn more about Congruency here
https://brainly.com/question/29288158
#SPJ4
Please help me I have a learning disability and need help with this.
Define a variable and write the phrase as an algebraic expression.
four times as many apples
What is the phrase as an algebraic expression? Use the variable a
**Type your answer with no spaces between variables, operations, or numbers.**
Answer here ________
Answer:
Step-by-step explanation:
a = number of apples
"four times as many apples" written as an algebraic expression:
4a
one and five eighths, negative three halves, seventeen percent, negative 1.7
Part A: Rewrite all the values into an equivalent form as fractions
The values rewritten into an equivalent form as fractions include the following:
One and five eighths = 13/8.Negative three halves = -3/2.Seventeen percent = 17/100.Negative 1.7 = -17/10.What is a fraction?In Mathematics, a fraction simply refers to a numerical quantity which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
What are the parts of a fraction?In Mathematics, a fraction comprises two (2) main parts and these include the following:
NumeratorDenominatorFor instance, 5 by 8 should be read as "five eighths" and it simply means that five (5) parts out of eight (8) equal parts in which the whole part is divided.
Similarly, -3 by 2 should be read as "negative three halves" and it simply means that two (2) parts out of negative three (3) equal parts in which the whole part is divided. Additionally, the number 3 represents the numerator while the number 2 represents the denominator.
Read more on fraction here: brainly.com/question/2194108
#SPJ1
What are the zeros of the function f(x) = x4 − 4x2 − 5? a. positive or negative square root of 5 comma ±i b. ±2, ±i c. ±5, ±i d. positive or negative square root of 2 comma ±i
d. positive or negative square root of 2 comma ±
The zeros of the function f(x) = x4 − 4x2 − 5 are the values of x that make the equation equal to 0. To find these, we must solve the equation f(x) = 0. We can do this by factoring the equation to give (x2 + 5)(x2 − 2) = 0. This gives us the solutions x2 = −5 and x2 = 2. From this, we can find the zeros of the function, which are ±√2 and ±i. Therefore, the zeros of the function f(x) = x4 − 4x2 − 5 are positive or negative square root of 2 comma ±i.
Learn more about square root here :
https://brainly.com/question/29286039
#SPJ4
For 0° ≤ x < 360°, what are the solutions to cos(startfraction x over 2 endfraction) – sin(x) = 0? a. {0°, 60°, 300°} b. {0°,120°, 240°} c. {60°, 180°, 300°}
d. {120°,180°, 240°}
The solutions of the given trigonometric equation are 60°, 180°, and 300°.
What is a trigonometric equation?
A trigonometric equation is an equation that contains one or multiple trigonometric ratios of unknown angles.
The given trigonometric equation is:
cos ([tex]\frac{x}{2}[/tex]) - sin (x) = 0
⇒ cos ([tex]\frac{x}{2}[/tex]) - 2sin ([tex]\frac{x}{2}[/tex]) cos ([tex]\frac{x}{2}[/tex]) = 0
⇒ cos ([tex]\frac{x}{2}[/tex]) [1 - 2sin ([tex]\frac{x}{2}[/tex])] = 0
Therefore, cos ([tex]\frac{x}{2}[/tex]) = 0 = cos (90°) ([tex]\frac{x}{2}[/tex] can't be 270°)
⇒ x = 180°
Again, [1 - 2sin ([tex]\frac{x}{2}[/tex])] = 0
⇒ 2sin ([tex]\frac{x}{2}[/tex]) = 1
⇒ sin ([tex]\frac{x}{2}[/tex]) = 1/2
⇒ ([tex]\frac{x}{2}[/tex]) = 30°, 150°
⇒ x = 60°, 300°
So, The solutions of the given trigonometric equation are 60°, 180°, and 300°.
Read more about trigonometric equations:
https://brainly.com/question/24349828
#SPJ4
80,60,45,...
Find the 9th term.
(PLEASE HELP)
The 9th term of the geometric sequence is equal to 8.0090 rounded up to the nearest thousandth.
What is a geometric sequenceA geometric sequence or progression is a sequence where every term bears a constant ratio to its preceding term. The nth term of a geometric sequence is calculated as ar^(n - 1) where a is the first term and r is the common ratio.
the first term a = 80
we get the common ratio by dividing the preceding term by the previous term;
r = 60/80 = 3/4
the 9th term is evaluated as follows:
80 × (3/4)^(9-1)
80 × (3/4)^8
80 × 6561/65536
524880/65536
8.0090
Therefore, the 9th term of the geometric sequence is 8.0090 approximately to the nearest thousandth.
Know more about geometric sequence here:https://brainly.com/question/1509142
#SPJ1
Why is sine called sine?
The term "sine" is derived from the Latin word sīnus, which means "bay". Sine is a mathematical function used to define a ratio between the length of a side of a right triangle and its opposite side.
It is also used to describe waveforms in trigonometry, electricity, and other sciences. The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse of a right triangle. The sine of a given angle in a right triangle is equal to the ratio of the length of the opposite side to the length of the hypotenuse.
This ratio can be expressed as a number between -1 and 1, with 0 representing a right angle. Sine is also used to describe waveforms in trigonometry, electricity, and other sciences. In addition, sine is used to solve problems involving triangles, circles, and various quadratic equations.
Learn more about Sine here:
https://brainly.com/question/21902442
#SPJ4
A teacher prints off review packets for her classes. Each 6th-grade packet is 10 pages long and each 7th-grade packet is 12 pages long.
Which expression represents the total number of pages printed if there are p 6th-grade packets printed and r 7th-grade packets printed?
The expression that represents the total number of pages is as follows:
number of printed pages = 10p + 12r
How to represent a situation with an expression?A teacher prints off review packets for her classes. Each 6th-grade packet is 10 pages long and each 7th-grade packet is 12 pages long.
Therefore, the expression that represents the total number of pages printed if there are p 6th-grade packets printed and r 7th-grade packets printed is as follows:
Hence,
number of printed pages = 10p + 12r
where
p = number of 6th-grade packets printedr = number of 7th-grade packets printedlearn more on expression here:https://brainly.com/question/20484337
#SPJ1
Nova wants to measure the height of a tree. She asks her brother Caden to stand so that the
tip of his shadow coincides with the tip of the tree’s shadow. She stands at the tip of Caden’s
shadow. Caden, who is 1.2 meters tall, is 4.2 meters from Nova and 6.5 meters from the tree.
The tree is ___ meters high. Round your answer to the nearest tenth and write it as a decimal.
The height of the tree is 1.9 meters
How to determine the height of the treeFrom the question, we have the following parameters that can be used in our computation:
Nova stands at the tip of Caden’s shadow. Caden is 1.2 meters tallCaden's distance from Nova is 4.2 metersCaden's distance from the tree is 6.5 metersThe height of the tree can then be calculated using the following ratio expression
Tree's height : Caden's height = Caden's distance from the tree : Caden's distance from Nova
Substitute the known values in the above equation, so, we have the following representation
Tree's height : 1.2 = 6.5 : 4.2
Express as fraction
Tree's height/1.2 = 6.5/4.2
So, we have
Tree's height = 1.2 * 6.5/4.2
Evaluate
Tree's height = 1.9
Hence, the tree's height is 1.9 meters
Read more about ratios at
https://brainly.com/question/2328454
#SPJ1
The tables represent the points earned in each game for a season by two football teams. Eagles 3 24 14 27 10 13 10 21 24 17 27 7 40 37 55 Falcons 24 24 10 7 30 28 21 6 17 16 35 30 28 24 14 Which team had the best overall record for the season? Determine the best measure of center to compare, and explain your answer. Eagles; they have a larger median value of 21 points Falcons; they have a larger median value of 24 points Eagles; they have a larger mean value of about 22 points Falcons; they have a larger mean value of about 20.9 points
The team that had the best overall record for the season is C. Eagles; they have a larger mean value of about 22 points Falcons; they have a larger mean value of about 20.9 points
What is the mean about?The best measure of center to compare the overall records of the two teams is the mean (average) value of the points earned in each game. This is because the mean is a commonly used measure of center in statistics and provides a good overall summary of the data set.
In this case, the Eagles have a larger mean value of about 22 points (calculated by summing the points and dividing by the number of games) compared to the Falcons' mean value of about 20.9 points. So, the correct answer would be Eagles; they have a larger mean value of about 22 points
It's worth noting that using the median value in this case is not the most accurate, because this will give you a more robust representation of the center of the dataset in cases where data have outliers.
Learn more about mean on:
https://brainly.com/question/1136789
#SPJ1
i need promblems 7,8,9,10,11
Answer:
7. y-8 = [tex]\frac{3}{4}[/tex](x-4)
8. y+3 = 4(x-1)
9. y+5 = [tex]\frac{-1}{7}[/tex](x-7)
10. y-3 = [tex]\frac{5}{3}[/tex](x-3)
11. y+4 = -2(x+1)
Two customers each bought sets of tables and chairs from a furniture store offering a single price for chairs and a single price for tables. The
amount paid by each customer is represented by the following
inequalities, where c is the price of a single chair and t is the price of a single table.
8c + 3t> $350
2c + 5t < $350
Which could be the prices for a singlechair and a single table?
A. Chair: $20, Table: $40
B. Chair: $22, Table: $60
C. Chair: $25, Table: $40
D. Chair: $30, Table: $60
According to the Inequalities the prices for a single chair and a single table:
B. Chair: $22, Table: $60
The correct option is B.
What exactly is inequality?Inequalities specify the relationship between two different values. Not equal is the definition of inequality. In most cases, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are employed to compare the values, whether is less than or more than.
According to the given statement:8c + 3t> $350
2c + 5t < $350
Putting the value in the equation:
8c + 3t> $350
8×22 + 3×60> $350
176 + 180 > 350
356 > 350
2c + 5t < $350 equation 2
2 × 22 + 5 × 60 < $350
44 + 300 < 350
344 < 350
To know more about Inequalities visit:
https://brainly.com/question/30228778
#SPJ1
What is the area of a 6 cm equilateral triangle?
The Area of equilateral triangle that have the side length as 6cm is [tex]9\sqrt{3} \; cm^{2}[/tex] .
An Equilateral Triangle is defined as a type of triangle in which all the side lengths are equal and measure of all the angles is also equal .
The Ares of Equilateral is calculated by formula : [tex]\frac{\sqrt{3} }{4} \times a^{2}[/tex] ;
where "a" = side length ;
the side length of triangle is given as : 6 cm .
substituting the value of "a" as 6 in the formula ,
we get ;
Area = [tex]\frac{\sqrt{3} }{4} \times 6^{2}[/tex]
= [tex]\frac{\sqrt{3} }{4} \times 36[/tex] ....because [tex]6^{2} =36[/tex] ;
Simplifying further ,
we get ;
= [tex]9\times \sqrt{3}[/tex] .
Therefore , the area of given equilateral triangle is [tex]9\sqrt{3} \; cm^{2}[/tex] .
Learn more about Equilateral Triangle here
https://brainly.com/question/10681095
#SPJ4
1 kilogram is equivalent to 1,000 grams. How many grams are in 3.5 kilograms? Circle the letter of the correct answer.
A. 0.35 gram
B. 3.5 grams
C. 3,500 grams
D. 35,000 grams
Rodney chose D as the correct answer. How did he get that answer? Write your statement down below.
Answer: C. 3,500 grams
Step-by-step explanation:
Rodney got D as the answer by because he thought there are three zeros and adding 3 and 5 to the 1,000 35,000.
Because we know the unit rate: 1(kilogram) = 1,000(grams)
Rodney chose the incorrect answer.
Therefore, 3.5 x 1000 = 3,500 is correct
Answer:
The correct answer is C. 3500g
Step-by-step explanation:
3.5kg×1000=3500g
Rodney got answe D. by moving the decimal place of 3.5kg over by 4 places instead of 3.
His equation could have been 3.5kg×10000= 35000
Rodney did NOT choose the correct answer
If f(x) = -x - 2 and g(x) = x², what is (g°f)(-6)?
The required value of a function of function (g°f)(-6) is given as 52.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f(x) = -x - 2
g(x) = x²
g(f(x)) = [-x - 2]²
g(f(x)) = [x + 2]² [since [-a]² = a²]
g(f(x)) = x² + 2x + 4
Now, put x = 6,
g(f(6)) = 6² + 2[6] + 4
g(f(6)) = 36 + 12 + 4
g(f(6)) = 52
Thus, the required value of a function of function (g°f)(-6) is given as 52.
Learn more about function here:
brainly.com/question/21145944
#SPJ1
What is the next number in this pattern?
Enter your answer in the box.
2,7, 12, 17,
Answer:
22
From the numbers already shown it looks like each time they are adding 5 to the number before it.
Match each exponential expression with its expanded form.
Each exponential expression is matched with its expanded form as;
-2⁴. Option E
2³. Option C
(-2)⁴. Option A
2². 2³. Option B
What is a index form?A index form can be described as a mathematical method or way of writing numbers or values that re too small or too large in simpler and comprehensible forms.
Other forms for index forms are standard forms or scientific forms.
From the information given, we have that;
-2⁴
This is represented as;
-2 × 2 × 2 × 2
2³
The index form is written as;
2 × 2 × 2
(-2)⁴, written as
-2 ×-2 × -2 ×-2
Also, 2². 2³ is written in the form;
(2 × 2)× ( 2× 2 × 2)
Hence, index forms simplifies expressions
Learn more about index forms here:
https://brainly.com/question/15361818
#SPJ1
Which of these relations is a function?
Pls Help
Answer:
See attached
Step-by-step explanation:
You want to know which of the graphed relations shows a function.
FunctionThe graph of a function will not intersect any vertical line in more than one place. A graph that has multiple values for any given x-value is not a graph of a function.
The attachment shows the one graph here that represents a function.
<95141404393>
Explain, in words, the mistake made in solving the equation.
Answer:
You should -5x on both side of the equation instead of adding 5x on the left side.
the complement of an angle is 57 degrees, what is the size of the angle?
Answer:
43 degreesStep-by-step explanation:
It costs johnny $15 a month plus $1. 50 per song to download music. This situation is represented by the expression 1. 5x + 15, where x is the number of songs downloaded. How much will it cost johnny to download 10 songs?.
The total amount of money that Johnny will have to pay is f(10) = 30.
What are expressions?
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Given is that it costs Johnny $15 a month plus $1.50 per song to download music. This situation is represented by the expression →
1.5(x) + 15.
The expression is given by -
f(x) = 1.5(x) + 15
where [x] is the number of songs downloaded.
For [x] = 10 songs, the total amount of money that Johnny will have to
pay is -
f(10) = 1.5 x 10 + 15
f(10) = 15 + 15
f(10) = 30
Therefore, the total amount of money that Johnny will have to pay is f(10) = 30.
To solve more questions on amount visit the link below -
brainly.com/question/14591508
#SPJ4
The cost that Johnny has to pay to download 10 songs is 30$
as per given in the question,
johnny's regular cost is 15$ a month
$1.50 is to be added for every song download
The cost to be find for 10 songs download
the equation which can be formed is
let x be the number of songs
1.5 times the number of songs + the cost of every month
therefore
1.5(x) + 15
the total number of songs to be downloaded is 10
so,
1.5(10) + 15
=> 15 +15
=> 30 $
Now the cost that has to pay by johnny after the downloading of 10 songs is 30 $
To learn more about cost :
https://brainly.com/question/17109853
#SPJ4
What is the value of x in the equation 2 x 3 9 3 1 )+ x?
The value of x in the equation "2 (x - 3) + 9 = 3 (x + 1 )+ x" is 0.
Solving this equation and finding the value of x,
2 (x - 3) + 9 = 3 (x + 1 )+ x
2x - 6 + 9 = 3x + 3 + x
Bringing values with x to one side of the equation and constant to another side of the equation so that the value of x can be found.
2x - 3x - x = 3 + 6 - 9
2x - 4x = + 3 - 3
-2x = 0
x = 0 / -2
x = 0
After solving the equation '2 (x - 3) + 9 = 3 (x + 1 )+ x' for x, the value of x to be found is 0.
Therefore, the equation '2 (x - 3) + 9 = 3 (x + 1 )+ x' gives the value of x equal to 0.
"
Complete question :
What is the value of x in the equation 2 (x - 3) + 9 = 3 (x + 1 )+ x'?
"
You can learn more about equation at
brainly.com/question/22688504
#SPJ4
Multiply. 5abc5⋅3a2b3
The multiplied form of the expression 5abc⁵⋅3a²b³ is 15 a³b⁴c⁵.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
The given expression is,
5abc⁵⋅3a²b³.
To multiply the given expression,
Use multiplication mathematical operation,
15abc⁵.a²b³
15 a³b⁴c⁵
The required expression is 15 a³b⁴c⁵.
To learn more about Mathematical operations on :
https://brainly.com/question/22469627
#SPJ1
Lance deposits $3,860 into an account that pays 3.08% interest, compounded semi-
monthly. What is his ending balance after 2 years? Round to the nearest cent.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3860\\ r=rate\to 3.08\%\to \frac{3.08}{100}\dotfill &0.0308\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-monthly, thus 24} \end{array}\dotfill &24\\ t=years\dotfill &2 \end{cases} \\\\\\ A = 3860\left(1+\frac{0.0308}{24}\right)^{24\cdot 2} \implies A = 4105.09[/tex]
what is a 140 degree counter clock wise the same as
Answer:
A 140 degree counterclockwise rotation is the same as a 40 degree clockwise rotation. To determine the equivalent angle of a rotation in the opposite direction, you can subtract the angle of rotation from 360 degrees. In this case, 140 degrees counterclockwise is equivalent to 360 - 140 = 220 degrees, which is the same as a 40 degree clockwise rotation.
Step-by-step explanation:
