Answers
The function in the given graph obtained from the y and x-intercept is the option;
\(y = cot \left( \frac{3}{4} \cdot \left(x - \frac{\pi}{6} \right)\right)\)
Which method can be used to find the correct function?From the given graph, we have;
At x = 0, y < -2Similarly;
At x = (5/6)•π, y ≈ 0The above relationship corresponds with the following function;
\(y = cot \left( \frac{3}{4} \cdot \left(x - \frac{\pi}{6} \right)\right)\)
The function graphed is therefore;
\(y = cot \left( \frac{3}{4} \cdot \left(x - \frac{\pi}{6} \right)\right)\)
Learn more about graphing functions here:
https://brainly.com/question/14323743
#SPJ1
Related Questions
PLEASE HELP I WILL GIVE BRAINLY!!!Question 2(Multiple Choice Worth 2 points)
(Factoring Algebraic Expressions LC)
Rewrite 30 - 6x³ using a common factor.
O2(15-3x³)
O 2x(15-3x²)
O6(5-6x³)
O6x(5-x²)
Answers
Answer:
(15-3x³) is the answer.
Step-by-step explanation:
2*15-2*3x³
which is 30-6x³.
suppose that an highway patrol officer can obtain radar readings on 500 vehicles during a typical shift. how many traffic violations would be found in a shift?
Answers
The patrol officer to find approximately 25 traffic violations during a typical shift based on our assumption that one out of every 20 vehicles observed is violating a traffic law.
How we get the average rate of traffic violations per vehicle?The rate of traffic violations per vehicle will depend on a variety of factors such as the time of day, the location of the patrol, and the types of vehicles being monitored.
Without additional information, we cannot determine a precise value for this rate. However, we can make an estimate based on historical data or expert opinion. Let's assume that on average, one out of every 20 vehicles observed by the patrol officer is violating a traffic law.
Rate of traffic violations per vehicle = 1/20 = 0.05Calculate the expected number of traffic violations in a shift:
Expected number of traffic violations = Rate of traffic violations per vehicle * Number of vehicles observedExpected number of traffic violations = 0.05 * 500 = 25Learn more about Average rate
brainly.com/question/13275208
#SPJ11
Spiral Review A wall is 4 1/2 feet long and has an area of 15 3/4 square feet. What is its height in feet?
Answers
The height of the wall is 7/4 feet, or 1 3/4 feet. To find the height of the wall, we need to use the formula for the area of a rectangle:
\(Area = length * height\)
We know that the length of the wall is 4 1/2 feet and the area is 15 3/4 square feet. We can write this as:
15 3/4 = (9/2) x height
To solve for height, we can divide both sides by 9/2:
height = 15 3/4 ÷ (9/2)
To divide fractions, we can multiply the first fraction by the reciprocal of the second:
height = 15 3/4 x 2/9
Next, we need to convert the mixed number to an improper fraction:
height = (4x15 + 3)/4 x 2/9
height = 63/4 x 2/9
Finally, we can simplify the fraction by canceling out common factors:
height = 7/4 feet
Therefore, the height of the wall is 7/4 feet, or 1 3/4 feet.
Learn more about area here:
https://brainly.com/question/1631786
#SPJ11
A sports apparel supplier offers teams the option of purchasing extra apparel for players. A volleyball team purchases 15 jackets and 12 pairs of sweatpants for $348. A basketball team purchases 8 jackets and 8 pairs of sweatpants for $200. Let x represent the price of a jacket and let y represent the price of a pair of sweatpants. Which system of equations can be used to find the price of each item? a system of equations. 8 x plus 8 y equals 200. 12 x plus 15 y equals 348. A system of equations. 8 x plus 8 y equals 200. 15 x plus 12 y equals 348. A system of equations. 8 x plus 8 y equals 348. 12 x plus 15 y equals 200. A system of equations. 8 x plus 8 y equals 348. 15 x plus 12 y equals 200.
Answers
If volleyball team purchased 15 jackets, 12 pairs of sweatpants for $348 and basketball team purchases 8 jackets , 8 pairs of sweatpants for $200, the the system of equations that represent the situation is (b) \(15x+12y = 348\) and \(8x+8y = 200\) .
let the number of jackets purchased be = x ;
let the number of pairs of sweatshirts purchased be = y ;
the volley ball team purchased 15 jackets and 12 pairs of sweatpants for $348 ,
that means the equation that represents the situation is :
\(15x+12y = 348\) .
Also given that , the basketball team purchased 8 jackets and 8 pairs of sweatpants for $200 ,
that means the equation that represents the situation is :
\(8x+8y = 200\) .
Therefore , the system of equations are \(15x+12y = 348\) and \(8x+8y = 200\) .
The given question is incomplete , the complete question is
A sports apparel supplier offers teams the option of purchasing extra apparel for players. A volleyball team purchases 15 jackets and 12 pairs of sweatpants for $348. A basketball team purchases 8 jackets and 8 pairs of sweatpants for $200. Let x represent the price of a jacket and let y represent the price of a pair of sweatpants. Which system of equations can be used to find the price of each item ?
(a) 8x + 8y = 200 ; 12x + 15y = 348 ;
(b) 8x + 8y = 200 ; 15x + 12y = 348 ;
(c) 8x + 8y = 348 ; 12x + 15y = 200 ;
(d) 8x + 8y = 348 ; 15x + 12y = 200 .
Learn more about Equations here
https://brainly.com/question/20492979
#SPJ4
I need help with this is the last question
Answers
Hope this helps
Answer:
84 ft2
Step-by-step explanation:
mitochondria is the powerhouse of a cell
Calculate 6 ÷ (2-3)³
Answers
Answer:
-6
Step-by-step explanation:
y= -2/5X - 2
slope=
y-intercept=
Answers
9514 1404 393
Answer:
slope = -2/5y-intercept = -2Step-by-step explanation:
Compare your equation ...
y = (-2/5)x +(-2)
to the slope-intercept form ...
y = mx + b . . . . where m is the slope and b is the y-intercept.
Matching these patterns, you should be able to see that ...
m = -2/5 = slope
b = -2 = y-intercept
Solve for x please help me out
Answers
Answer: x=5, choice D
Step-by-step explanation:
you have two vertical angles
11x=55
55/11=5
x=5
find the centroid ( ¯ x , ¯ y ) of the triangle with vertices at ( 0 , 0 ) , ( 5 , 0 ) , and ( 0 , 7 ) .
Answers
The centroid of a triangle is the point where the three medians of the triangle intersect. In this case, the triangle has vertices at (0, 0), (5, 0), and (0, 7).
First, let's calculate the average x-coordinate:
¯x = (0 + 5 + 0) / 3 = 5/3 ≈ 1.67
Next, let's calculate the average y-coordinate:
¯y = (0 + 0 + 7) / 3 = 7/3 ≈ 2.33, the centroid of the triangle with vertices at (0, 0), (5, 0), and (0, 7) is approximately (1.67, 2.33).
In summary, the centroid of the triangle with verticesvertices at (0, 0), (5, 0), and (0, 7) is located at approximately (1.67, 2.33). This point represents the average position of the three vertices and is the intersection point of the medians of the triangle.
The centroid coordinates are found by taking the average of the x-coordinates and the average of the y-coordinates of the three vertices. In this case, we add up the x-coordinates (0 + 5 + 0 = 5) and divide by 3 to get an average of 5/3, which is approximately 1.67. Similarly, we add up the y-coordinates (0 + 0 + 7 = 7) and divide by 3 to get an average of 7/3, which is approximately 2.33. These values represent the x-coordinate (¯x) and the y-coordinate (¯y) of the centroid, respectively. Therefore, the centroid of the triangle is located at approximately (1.67, 2.33).
Learn more about triangles here
brainly.com/question/14366937
#SPJ11
you lean a 13 foot ladder on your house so that it reaches the roof. if the bottom of the ladder is 5 feet away form the house, how tall is the house?
Answers
The height of the building is 12 feet.
What is the height of the building?Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
Given that:
Length of the ladder (hypotenuse) = 13 feet
Distance of the ladder's bottom from the house (base) = 5 feet
Let's denote the height of the house (vertical side) as 'b'.
Using the Pythagorean theorem, we have:
13² = 5² + b²
b² = 13² - 5²
b² = 169 - 25
b² = 144
Taking the square root of both sides:
b = √144
b = 12
Therefore, the value of b is 12 feets.
Learn more about Pythagorean theorem here: brainly.com/question/343682
#SPJ1
-18=7v+9-10v
slove for v.
Answers
Answer:
v=9
Step-by-step explanation:
-18 = 7v + 9 - 10v
combine like terms
-18 = -3v + 9
-9 -9
-27 = -3v
divide both sides by -3
9 = v
or
v = 9
Hope this helps!!!
i am stuck on this question and i’m not sure how to graph it
Answers
Given the function:
\(f\left(t\right)=e^{0.4t}\)For t = -4,
\(f\left(t\right)=e^{0.4(-4)}=e^{-1.6}=0.2\)For t = -2,
\(f(t)=e^{0.4(-2)}=e^{-0.8}=0.4\)For t = 0,
\(f(t)=e^{0.4(0)}=e^0=1\)For t = 2;
\(f(t)=e^{0.4(2)}=e^{0.8}=2.2\)For t = 4,
\(f(t)=e^{0.4(4)}=e^{1.6}=5\)Then we graph the points
(-4,0.2) (-2, 0.4) (0,1) (2, 2.2) and (4,5)
and we get the graph:
i need help!! can anybody help me?
Answers
x=67 is your answer
Consider the polynomial 9n2+60n+100.
What are the square roots of the first and last terms?
square root of first term:
square root of last term:
Answers
Last term: 10
Have a great day :)
John deposited $80 and it's savings account earning 5% interest compounded annually how much interest will he earn in 3 years
Answers
Therefore , the solution of the given problem of interest comes out to be John will receive $12.02 in interest after three years.
What does interest actually mean?To calculate the simple interest rate, divide the amount by the funding cost, the amount of time left, and other variables. The easiest return strategy in marketing is principal student loan hours. This method of determining involvement is the easiest. In most cases, income is determined as a percentage of the beginning amount. For instance, if he asks any of these buddies for $100 but chooses to pay back the loan wit 5% of his salary.
Here,
We may use the compound interest calculation to determine the interest that John's savings account has accrued:
=> A = P\((1 + r/n)^{nt}\)
In this instance, P is equal to $80, r is equal to 5%, or 0.05, n is one, and t is three years.
We thus have:
=> A = $80(1 + 0.05/1)^(1*3) = $92.02
We deduct the initial deposit from the total to determine the interest earned:
=> Interest = $12.02 ($92.02 - $80).
John will therefore receive $12.02 in interest after three years.
To know more about interest visit:
https://brainly.com/question/28792777
#SPJ1
Grapes are selling for $0.68 a pound. Aldo spent $9.18 on grapes. How many pounds of grapes did Aldo buy?
Answers
Answer:
13.5 pounds.
Step-by-step explanation:
9.18 divided by .68
= 13.5
Answer:
13.5
$0.68 times 13.5 = $9.18
observe that for every value of that satisfies , the value of is constant. what does this tell you about the behavior of the graph of on this interval?
Answers
The graph remains at a constant height (y-value) for all x-values within the specified interval. This means that the function does not change in this interval and maintains a consistent output.
If the value of is constant for every value that satisfies a certain condition, it means that the graph is a horizontal line on that interval. The behavior of the graph is constant or unchanging in terms of its vertical position.
When every value of x that satisfies a given condition results in a constant value of y, this tells us that the behavior of the graph of the function on this interval is horizontal. In other words, the graph remains at a constant height (y-value) for all x-values within the specified interval. This means that the function does not change in this interval and maintains a consistent output.
to learn more about intervals click here:
brainly.com/question/29152839
#SPJ11
Today is Derek's 25th birthday. Derek has been advised that he needs to have $2,176,097.00 in his retirement account the day he turns 65 . He estimates his retirement account will pay 8.00% interest. Assume he chooses not to deposit anything today. Rather he chooses to make annual deposits into the retirement account starting on his 27.00 th birthday and ending on his 65th birthday. How much must those deposits be? Answer format: Currency: Round to: 2 decimal places.
Answers
To accumulate $2,176,097.00 in his retirement account by age 65, Derek needs to make annual deposits of $5,000.00 starting on his 27th birthday and ending on his 65th birthday, assuming an 8.00% interest rate.
To determine the annual deposits Derek needs to make, we can use the future value of an ordinary annuity formula. First, we calculate the number of years between Derek's 25th and 65th birthdays, which is 65 - 25 = 40 years. Next, we calculate the future value of the retirement account using the given interest rate of 8.00%. Using the formula:
Future Value = Present Value * (1 + interest rate)^number of periods
In this case, the future value is $2,176,097.00, the interest rate is 8.00%, and the number of periods is 40. We can rearrange the formula to solve for the present value:Present Value = Future Value / (1 + interest rate)^number of periods
Substituting the values:Present Value = $2,176,097.00 / (1 + 0.08)^40 = $123,529.31 (rounded to 2 decimal places)
Now, we need to find the annual deposit amount. Since Derek starts making deposits on his 27th birthday and ends on his 65th birthday, he makes deposits for 65 - 27 = 38 years.Annual Deposit = Present Value / ((1 + interest rate)^number of periods - 1)Substituting the values:
Annual Deposit = $123,529.31 / ((1 + 0.08)^38 - 1) = $5,000.00 (rounded to 2 decimal places)Therefore, Derek must make annual deposits of $5,000.00 into his retirement account starting on his 27th birthday and ending on his 65th birthday to accumulate $2,176,097.00 by the time he turns 65.
To learn more about interest rate click here
brainly.com/question/32615546
#SPJ11
According to the video above, the geometric object called a(n) ___ has the characteristics that it has one endpoint and extends in away from that endpoint without end.
Answers
They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.
According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.
for more seach question surveying
https://brainly.com/question/17365081
#SPJ8
Which inequality determines the number of chores, c, Janie must do this week in order to earn enough money to buy a CD. Explain how the terms and operations in the inequality you choose relate to the problem.
0 3 + 2c > 13
• 2+3c≥13
• 3 + 2c < 13
• 2 + 3c < 13
Answers
The inequality represented by the statement is 2 + 3c ≥ 13
How to determine the inequalityThis inequality says that the total amount of money Janie earns from doing chores, which is given by the expression 2 + 3c, must be greater than or equal to $13.
Using the above as a guide, we have the following:
The inequality that determines the number of chores, c, Janie must do this week in order to earn enough money to buy a CD is:
2 + 3c ≥ 13
The term 2 represents the fixed amount of money Janie earnsThe term 3c represents the amount of money Janie earns for each additional chore she does, since she earns $3 per chore.Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
A(n) ___ reflects a system's key entities and the relationship among them. data flow diagram; relational table; program flow chart; entity-relationship diagram.
Answers
An Entity-Relationship Diagram (ERD) reflects a system's key entities and the relationship among them.
What are Entity-Relationship Diagram?Entity Relationship Diagrams, sometimes referred to as ER Diagrams, ER Models, or ERDs, are a sort of structural diagram used in database architecture. The key entities included in the system scope as well as the interactions between these entities are both visually represented by an ERD's various symbols and connectors.
An Entity-Relationship Diagram (ERD) reflects a system's key entities and the relationship among them.
ERDs are commonly used in database design to visually represent the structure of a database system. They depict entities (objects or concepts) and the relationships between them, helping to model the organization of data and the interactions between entities. ERDs typically consist of entities (represented as rectangles), attributes (represented as ovals), and relationships (represented as lines connecting entities).
Therefore, the correct answer is:
Entity-Relationship Diagram.
Learn more about Entity-Relationship Diagram on:
https://brainly.com/question/17063244
#SPJ4
boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes. how long will it take for both mowing at the same time to mow the lawn?
Answers
The time taken by both to mow the lawn is 36 minutes.
This is a question of time and work.
It is given that:-
Time taken by boy to mow the loan = 90 minutes.
Time taken by girl to mow the loan = 60 minutes.
We have to find the time taken by both of them together to mow the lawn.
LCM(60,90) = 180
Let the total work to be done to mow the lawn be 180 units.
Hence,
Efficiency of boy = 180/90 = 2 units
Efficiency of girl = 180/60 = 3 units
Total efficiency = 2 + 3 = 5 units.
Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.
To learn more about time and work, here:-
https://brainly.com/question/8032605
#SPJ4
You inherit RM300,000 from your parents and want to use the money to supplement your retirement. You receive the money on your 65 th birthday, the day you retire. You want to withdraw equal amounts at the end of each of the next 20 years. What constant amount can you withdraw each year and have nothing remaining at the end of 20 years if you are earning 7% interest per year?
A. RM15,000
B. RM28,318
C. RM33,574
D. RM39,113
Answers
To determine the constant amount that can be withdrawn each year for 20 years, we need to calculate the annuity payment using the present value of an annuity formula.
Inherited amount: RM300,000
Interest rate: 7% per year
Number of years: 20
Using the present value of an annuity formula:
PV = P * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value (inherited amount)
P = Annuity payment (constant amount to be withdrawn each year)
r = Interest rate per period (7% or 0.07)
n = Number of periods (20 years)
Plugging in the values:
300,000 = P * [(1 - (1 + 0.07)^(-20)) / 0.07]
Solving this equation, we find that the constant amount that can be withdrawn each year is approximately RM15,000.
Therefore, the correct answer is A. RM15,000.
To know more about interest click here: brainly.com/question/30393144
#SPJ11
andre drew a plan of a courtyard at a scale of 1 to 60. in his drawing, one side of the courtyard is 2.75 inches. what is the actual measurement of that side of the courtyard (in inches)?
Answers
The actual measurement of that side of the courtyard = 165 inches
In this question, we have been given Andre drew a plan of a courtyard at a scale of 1 to 60. in his drawing, one side of the courtyard is 2.75 inches.
We need to find the actual measurement of that side of the courtyard.
In order to calculate the real length,
real length = scale length / scale ratio
here, scale length = 2.75 inches
scale ratio = (1/60)
so, the real length would be,
real length = 2.75/ (1/60)
real length = 2.75 * 60
real length = 165 inches
Therefore, the actual measurement of that side of the courtyard = 165 inches
Learn more about scaling here:
https://brainly.com/question/11349851
#SPJ4
Solve
-4.5 x (-2) =
Selection :
-0.9
9
0.9
-9
Answers
The solution to -4.5 x (-2) is 9.
What is the arithmetic calculation?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
The reason for this is that when two negative numbers are multiplied together, the result is positive.
This is because the negative sign on a number is similar to a "minus" sign, indicating that the number is less than zero.
When you have two "minus" signs together (in this case, one on -4.5 and one on -2),
they cancel each other out, leaving the positive product of 4.5 and 2, which is 9.
-4.5 is a negative decimal number, and -2 is also a negative integer number. When multiplied, it results in a positive number, which is 9.
Hence, the solution to -4.5 x (-2) is 9.
To learn more about arithmetic calculation visit,
https://brainly.com/question/13181427
#SPJ1
what are factors of the expression x^2-x-6?
A. (x+3)(x+2)
B. (x-3)(x-2)
C. (x+3)(x-2)
D. (x-3)(x+2)
Answers
Answer:
The answer is D. (x - 3) (x + 2)
PLS HELP ILL MARK BRAINLIST
Answers
5. 0.9 -0.2 =
its 5th grade math
Answers
Answer:
0.7
Step-by-step explanation:
Build a deterministic FA M4 such that L4=L(M4)=aa((a+b)(a+b))∗bb For example, bbabaa ∈/L4 and aab ∈/L4, but aabb ∈L4 and aabaaabb ∈L4.
Answers
To build a deterministic finite automaton (DFA) M4 that recognizes the language L4 = aa((a+b)(a+b))∗bb, follow these steps:
Step 1:
Start with an initial state q0.
Create two transition states, q1 and q2.
Create a final state q3.
Step 2:
From q0, create transitions labeled 'a' to q1.
From q1, create transitions labeled 'a' to q2.
From q2, create transitions labeled 'a' or 'b' to q3.
From q3, create a transition labeled 'b' to q3.
In this DFA, the initial state q0 represents the start of the input. The first 'a' transition from q0 to q1 ensures that the input starts with two 'a's.
From q1, another 'a' transition is necessary to ensure that there are at least three 'a's in the input.
From q2, 'a' and 'b' transitions lead to the final state q3, allowing any number of 'a's and 'b's in between.
The final transition from q3 to q3 with the label 'b' ensures that there are at least two 'b's at the end of the input.
This DFA guarantees that the language L4 = aa((a+b)(a+b))∗bb is recognized. It accepts strings that begin with two 'a's, followed by any combination of 'a's and 'b's, and end with two 'b's. Strings like 'bbabaa' and 'aab' are not accepted since they don't satisfy the defined pattern, while strings like 'aabb' and 'aabaaabb' are accepted.
Learn more about: deterministic finite automaton
brainly.com/question/32072163
#SPJ11
help please
!!!!! this is 4 summer
Answers
Answer:
2. 8/10
3. 27/100
4. 75/100 or 3/4
Step-by-step explanation:
•First, put the number on top of 1 in a fraction.
•Multiply the top and the bottom by 10 for every number after the decimal point.
2.
Number on top of 1 in a fraction:
0.8/1
As there is 1 number after the decimal place, you would have to times the top and bottom by 10.
8/10
3.
Number on top of 1:
0.27/1
Times top and the bottom by 100:
27/100
4.
Number on top of 1:
0.75/1
Times top and bottom by 100:
75/100
Simplify (if needed):
3/4
Hope this helps :)