Given the information sin(O) = -1 and cos(e) > 0 with e in quadrant 3, we can determine the quadrant, x, y, and r values, and then find the six trigonometric ratios for O.
First, determine the quadrant for O:
Since sin(O) = -1 and cos(e) > 0, we know that O is in quadrant 4, where sine is negative and cosine is positive.
Next, find x, y, and r:
Given sin(O) = -1, we know that y/r = -1. Since sin(O) is at its minimum, this occurs when y = -1 and r = 1. With e in quadrant 3, x must be negative. Since cos²(e) + sin²(e) = 1, we have x² + (-1)² = 1, so x² = 0, and x = 0.
Now, calculate the six trigonometric ratios for O:
1. sin(O) = y/r = -1/1 = -1
2. cos(O) = x/r = 0/1 = 0
3. tan(O) = y/x = -1/0 (undefined, as we cannot divide by 0)
4. sec(O) = r/x = 1/0 (undefined, as we cannot divide by 0)
5. csc(O) = r/y = 1/-1 = -1
6. cot(O) = x/y = 0/-1 = 0
So, O is in quadrant 4 with x=0, y=-1, and r=1. The trigonometric ratios are sin(O)=-1, cos(O)=0, tan(O)=undefined, sec(O)=undefined, csc(O)=-1, and cot(O)=0.
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please help i need this assigment done today!!
Answer:
Step-by-step explanation: Bro honestly math is some bull
n electrician invested $9,000 in an investment account paying 2.45% interest compounded semiannually. After 30 years, the value of the account will have a balance of $18,685.71. If the electrician's investment was compounded continuously instead of twice per year, what would be the difference in the account balance after 30 years?
$42.03
$80.38
$83.63
$165.55
The difference in the account balance after 30 years if the electrician's investment was compounded continuously instead of twice per year would be $83.63.
What is value?Value is the worth of something that is measured in terms of its quality, importance, and usefulness. It is a fundamental concept in economics, finance, and business, as it reflects the perceived benefits of a good or service compared to its cost. Value can be subjective, as it is often based on personal opinion or preference. It can also be quantified and measured in terms of money, time, or resources.
Compound interest is the concept of earning interest on the initial principal and any interest previously earned. When the interest is compounded continuously, the interest is added to the principal more frequently than when it is compounded semiannually, resulting in a larger final balance.
The electrician's initial investment of $9,000 compounded semiannually at 2.45% for 30 years would have a balance of $18,685.71.
However, if the same investment had been compounded continuously at 2.45%, the balance after 30 years would be $18,769.34, which is $83.63 more than the semiannually compounded balance.
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Answer:
$83.63
Step-by-step explanation:
The rest are wrong.
f(x)=4x-3 find f-1(x)
Answer:
3 x −3
Step-by-step explanation:
Use the given functions to set up and simplify f−x.
What will be the area of triangle whose sides are 9 cm 12 cm and 15 cm?
The area of triangle whose sides are 9 cm 12 cm and 15 cm is 54 cm².
The formula to be used for calculating of the area of triangle is -
A = ✓s(s-a) (s-b) (s-c), where a, b and c are sides of triangle. S is (a+b+c)/2.
Let us assume side a to be 9 cm, side b to be 12 cm and side c to be 15 cm. Calculating the value of s.
s = 9 + 12 + 15/2
Adding values on Right Hand Side of the equation
S = 36/2
Performing division
S = 18
Keep the values in formula of area -
A = ✓18 × (18 - 9) × (18 - 12) × (18 - 15)
Performing subtraction
A = ✓18 × 9 × 6 × 3
Performing multiplication
A = ✓2916
Taking square root
A = 54 cm²
Thus, the area of triangle is 54 cm².
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What are the 7 stages of problem-solving?
The 7 stages of problem-solving are a widely recognized framework for approaching and solving problems. The stages include identifying the problem, collecting information, developing the possible solutions, evaluating those solutions, choosing a solution, implementing it and evaluating the results.
Identifying the problem: This involves clearly defining and understanding the problem, including its scope and the factors that contribute to it.
Gathering information: This involves researching and collecting data to better understand the problem and potential solutions.
Developing possible solutions: This involves generating a list of potential solutions to the problem, including both traditional and creative options.
Evaluating possible solutions: This involves analysing each potential solution to determine its feasibility and potential impact.
Choosing a solution: This involves selecting the best solution based on the evaluation in the previous stage.
Implementing the solution: This involves putting the chosen solution into action, including any necessary planning and preparation.
Evaluating the results: This involves monitoring and assessing the effectiveness of the solution and making any necessary adjustments.
It's important to note that the problem-solving process is not always linear, and it's possible to move back and forth between the stages as new information is gathered or new issues arise. Additionally, it's important to be flexible and open-minded throughout the problem-solving process to consider different possibilities.
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Number of jelly beans in a scoop:
47, 28, 38, 47, 58, 34, 76, 35, 32, 45, 53, 43, 35, 27
Which numbers would be used for the stems in a stem-and-leaf plot of the data set?
Answer:
4
2
3
4
5
3
7
3
4
5
4
3
2
Step-by-step explanation:
What is inequality statements in math?
In mathematics, an inequality is a statement that compares two expressions or values.
The expressions or values being compared are separated by an inequality symbol, such as; > (greater than), < (less than), ≥ (greater than or equal to), ≤ (less than or equal to), or ≠ (not equal to).
For example, the inequality statement "3 < 5" means that 3 is less than 5. The symbol "<" is the inequality symbol, and it shows the relationship between the two values 3 and 5. Another example would be "x + 2 > 5", this inequality states that the value of x + 2 is greater than 5, where x can be any value.
Inequality statements can also be represented graphically on a number line. For example, the inequality x > 3 would be represented by a line on the number line with an open circle at 3, with all the numbers to the right of 3 being included in the solution set.
Inequality statements can also be combined to form a system of inequalities, which can then be solved graphically by finding the common solution set of all the inequalities in the system.
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The Algebra 2 test grades are posted, and all students taking the test scored over 75. Unfortunately, 5 students were absent from the test, so the teacher listed their scores as 0 until the test is taken. Assuming that no score repeated more times than the 0's, what measure of central tendency would most likely give the best representation of this data? Explain.
The measure of central tendency that would most likely give the best representation for the data would be Median.
Why would the median give the best representation ?The mean (average) would be greatly skewed by the presence of 0's and would not accurately represent the scores of the students who took the test. Since the scores were all above 75, the mean would be much lower than the actual scores due to the presence of 0's.
The mode (most common value) would be 0 and it would not be a good representation of the scores of the students who took the test.
The median can be calculated by ordering the scores and finding the middle value. Since 5 students were absent and their scores were listed as 0, it would be the middle value of the test scores that were above 75. This is therefore the best measure of central tendency.
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Enter the total area of kite LMNP in quare meter
6. 4 meter
5 meter
12. 4 meter
6. 4 meter
The total area of kite LMNP with diagonal length of 6.4 m and 12.4m in square meters is 39.68 square meters.
Therefore the answer is 39.68 square meter.
To find the area of a kite, you need to know the lengths of its diagonals. The formula for finding the area of a kite is
(d1 × d2) / 2
where d1 and d2 are the lengths of the diagonals.
Here diagonals d1 = 6.4m and d2 = 12.4m, so
area = (d1 × d2) / 2
area = (6.4 × 12.4) / 2
area = 39.68 square meters
So area of the kite LMNP is 39.68 square meters.
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Plot the whole number benchmarks on the open number line then plot the number you are subtracting from label the distance of each jump 6.57 - 3.86
Answer:
109 it is the answer
Step-by-step explanation:
02947 029377393
write a cosine function that has a midline of 4, an amplitude or 3 and a period of 7/3
The cosine function will be equal to f(x) = 3cos(π(6/7)x) + 4
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
A generic cosine function is written as:
f(x) = Acos(wx + p) + M
where:
A = amplitude
w = angular frequency
p = phase
M = midline.
We know that:
The midline is 4, then M = 4
The amplitude is 3, then A = 3
There is no information about the phase, so p = 0.
And we know that the period is 7/3.
The period is written as T, and the relation between the period and the angular frequency is:
T = 2π/w
Then we have:
7/3 = 2π/w
w = (2π)*(3/7) = π x (6/7)
where π= 3.14
Then we have:
w = π x (6/7)
A = 3
M = 4
p = 0
Hence, the cosine function is: f(x) = 3cos(π(6/7)x) + 4
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in exercises 25-28, three vertices of DEFG are given D(0,2), E(-1,5), G(4,0). Find the coordinates of the missing vertex
The coordinate of F is (3, 3).
What is the formula to find the midpoints?
Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.
The formula is used to find the midpoints are as follows;
(x1 + x2)/2, (y1+y2)/2
DF and EG are diagonals of parallelogram DEFG, therefore:
The midpoint of DF = midpoint of E
Then,
The midpoint of D(0, 2) and F(x, y) is:
(0 + x)/2 , (2 + y)/2
The midpoint of E(-1, 5) and G(4, 0) is;
(-1 + 4)/2, (5 + 0)/2
Comparing the equation;
x/2 = 3/2
x = 3
2+y/2= 5/2
y = 3
Hence, the coordinate of F is (3, 3).
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Which of the following is not an expression? A. 6x-3=5 B. 3x+4 C. 1 = x/4 D. X-5
Option C is correct. 1 = x/4 is not an expression. It is an equation. An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that can be simplified or evaluated to a single value, while an equation is a statement that asserts the equality of two expressions.
What is the difference between expressions and equation?Expression: In order to indicate the value of something, an expression is defined as a grouping of integers (constant), letters (variables), or their combination connected by operators (+, -, *, /). A mathematical, algebraic, polynomial, or analytical expression can be used.
It does not demonstrate any relationship because it lacks the equals (=) sign. As a result, it lacks left and right sides. An expression can be made simpler by grouping related terms together, or it can be evaluated by replacing the variables with values to get a numerical value.
Equation: Equation refers to a claim of equivalence. In this statement, two expressions are positioned on either side of one another. The value of the relevant variable must be known in order for an equation to be satisfied; this is referred to as the solution or root of the equation.
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What are the 3 coordinates?
The three types of co-ordinates are:
(i) Cartesian co-ordinates
(ii) cylindrical co-ordinates
(iii) spherical co-ordinates
Which coordinate system is used?Three digits are used to indicate distances in the three-dimensional flat space of the Cartesian coordinate system, often known as the "rectangular coordinate system." The East/West direction, North/South direction, and Elevation are represented by the first two digits, respectively.
The Cartesian coordinate system is a prime example of a coordinate system. Two perpendicular lines are picked in the plane, and a point's coordinates are assumed to be the signed distances between the lines.
So, three types of co-ordinates are:
(i) Cartesian co-ordinates
(ii) cylindrical co-ordinates
(iii) spherical co-ordinates
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Ed found that the value of his new car is now $23,500, but it is expected to depreciate at a rate of 7.5% per year. What is the range of the exponential function in that represents this situation?
The decay factor for the car will be equal to 0.925 or 92.5%
What is an exponent?The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.The way of representing huge numbers in terms of powers is known as an exponent.Exponent, then, is the number of times a number has been multiplied by itself. The result of multiplying 6 by itself four times is 6 6 6 6. You can write this as 64. Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as bn and is pronounced as "b to the n."To learn more about exponent refer to:
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what are the fact families for 4 4 4 4 and 16
2x²+4x+5=ax²+(2b-6)x+c find the constant a,b,c
What are the 4 types of factorization?
Answer:
The four main types of factoring are the Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cubes.
Step-by-step explanation:
Hope it helps!
plssss i’ll give points
The equation of this perpendicular line is Y=-4x+15
What is perpendicular line ?
In elementary geometry, two geometric objects are perpendicular if they intersect at a right angle. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂. It can be defined between two lines, between a line and a plane, and between two planes.Lines that intersect each other forming a right angle are called perpendicular lines. Example: the steps of a straight ladder; the opposite sides of a rectangle.A perpendicular line is a straight line through a point. It makes an angle of 90 degrees with a particular point through which the line passes. Coordinates and line equation is the prerequisite to finding out the perpendicular line.the equation is : y = ax+bthe slope is a : a×(1/4) = -1......( perpendicular to a line with a slope of 1/4) becausey=x/4 -2 means y = (1/4)x -2... the slope is : 1/4but : a×(1/4) = -1 so : a = - 4 y= - 4x+bthe line that passes through (4, -1)-1 =-4(4)+bb = 15the equation is : y = - 4x+15To learn more about perpendicular line refers to:
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Gerardo changed a $100 at the bank. He received $20 bills and $10 bills.
$20 bills was 2 more than the number of $10 bills. How many bills of each kind did he
receive?
Write using LESCA
Answer:
• Two $10 bills
• Four $20 bills
Step-by-step explanation:
We are told that Gerardo received a number of $20 and $10 bills upon changing a $100 bill at the bank. We are also told that he received 2 more $20 bills than $10. Then we are asked to find the number of each kind of bill.
To solve this problem, let's consider the number of $10 bills he received was [tex]x[/tex]. Since he received 2 more $20 bills, he got [tex](2 + x)[/tex] $20 bills. Therefore, in total he received:
[tex]10 \times x + 20 \times (x +2)[/tex]
This should add up to $100 since that is the amount he changed. Solving the resulting equation for [tex]x[/tex] will give us the number of $10 bills he received.
[tex]10 \times x + 20 \times (x +2) = 100[/tex]
⇒ [tex]10x + 20x + 40 = 100[/tex]
⇒ [tex]30x +40 = 100[/tex]
⇒ [tex]30x + 40 - 40 = 100 - 40[/tex] [Subtracting 40 from both sides of equation]
⇒ [tex]30x = 60[/tex]
⇒ [tex]\frac{30}{30}x = \frac{60}{30}[/tex] [Dividing both sides of the equation by 30]
⇒ [tex]x = \bf 2[/tex]
Therefore, he received 2 $10 bills.
Since the number of $20 bills is 2 more than the number of $10 bills,
no. of $20 bills = 2 + 2
= 4
A candle's height is modeled by the equation y=-5x+30, where x is the hours spent burning, and y is the height of the candle in centimeters. Interpret the slope, using a complete sentence. Please explain how you got the answer. I will mark you brainliest!!
The number -5 represents the rate of decreasing 5 centimeters per hour.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A candle's height is modeled by the equation y = -5x + 30, where x is the hours spent burning, and y is the height of the candle in centimeters.
The number -5 represents the rate of decreasing 5 centimeters per hour and 30 represents the initial length of the candle.
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What alternate for of genes do nucleic acids have that allows them to offer variability?
Nucleic acids offer variability through their ability to undergo mutations.
What is mutation?Mutation is a process in which a gene or organism undergoes a change in its DNA sequence, resulting in a new trait or altered function. Mutations can occur naturally or be induced by environmental factors such as radiation, chemicals, or viruses. Mutations can be beneficial, harmful, or have no effect on the organism. Some mutations can cause genetic disorders or even cancer.
Mutations are changes in the sequence of nucleotides that make up a gene, resulting in a different form of the gene. These mutations can lead to different traits in the organism, providing a greater range of variability in the gene pool. Mutations can be caused by environmental factors such as radiation or chemicals, as well as random changes that occur as DNA is replicated. The range of variability offered by mutations is one of the main reasons why organisms are able to adapt to their environment.
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what is 4/9 divided by 8/15 as a simplified fraction.
Answer:0.3
Step-by-step explanation:
Rhode Island Red chicks cost $3.20 each and Buckeye chicks cost $3.44 each. A farmer buys 4 Rhode Island Red chicks for every 3 Buckeye chicks.
He buys 70 chicks in all. What is the total cost of the farmer’s chicks?
Answer:$231.2
Step-by-step explanation:
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The total cost of farmers' chicks is $231.2
What is an equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 5 is an equation.
We have,
Total chicks = 70
4 Rhode Island Red chicks = 3 Buckeye chicks.
Multiply 10 on both sides.
40 Rhode Island Red chicks = 30 Buckeye chicks.
We see that,
40 + 30 = 70
Now,
Rhode Island Red chicks cost = $3.20
Buckeye chicks cost = $3.44
Now,
= 40 x 3.20 + 30 x 3.44
= 128 + 103.2
= $231.2
Thus,
The total cost of farmers' chicks is $231.2
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17 exceeds one-eighth of a number by 9. what is the number?
The number that satisfies the given condition is x= 64.
What are equations?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
Let the number be x.
Then one eight of the number can be represented as follows: [tex]\frac{1}{8}x[/tex]
The number 17 exceeds by 9, this is written as [tex]\frac{1}{8}x + 9 =17[/tex]
Using the equation, we find the value of x by isolating the variable:
[tex]\frac{1}{8}x + 9 =17\\\\x+ (8)(9) = (17)(8) \\\\x = 136 - 72\\\\x=64[/tex]
Hence the number x that satisfies the given condition is 64.
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One tennis club charges $ 34 per session to play tennis. Another tennis club charges an annual fee of $ plus $ 22 per session. After how many sessions is the cost at the two clubs the same?
The cost of the two clubs will be the same after 4 sessions
How to determine the number of sessions at which the cost at the two clubs the same?A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation
Let x represent the number of session
Since One tennis club charges $ 34 per session to play tennis. We can write the cost as:
cost = 34x
And another tennis club charges an annual fee of $ plus $ 22 per session. We can write the cost as:
cost = 48 + 22x
At the same cost, we have:
34x = 48 + 22x
34x - 22x = 48
12x = 48
x = 48/12
x = 4
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Complete Question
One tennis club charges $30 per session to play tennis. Another tennis club charges an annual fee of $48 plus $22 per session. After how many sessions is the cost at the two clubs the same?
QUICK PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
How can you solve two-step inequalities?
Explain shortly.
To solve a two-step inequality, you can follow these steps:
Isolate the variable on one side of the inequality by performing the same operation on both sides of the inequality.
If the inequality is a "greater than" or "less than" inequality, you will need to reverse the inequality if you multiply or divide by a negative number.
Solve the inequality by isolating the variable.
Check your solution by plugging it back into the inequality and making sure it is true.
Graph the solution in number line
Example:
x + 2 > 6
x > 4
(x+2) > 6
x > 4 (by isolating x)
It is important to remember that if we multiply or divide by a negative number, we have to reverse the inequality sign.
It is also important to remember that after solving the inequality, it is necessary to check the solution by substituting it back into the original inequality to make sure it works.
Question 3
Suppose you take a trip that covers 147.4 km and takes 8.6 hours.
What is your average speed (km/h)?
Question 4
1 pts
1 pts
Answer:
17.13953 mph
I just did it these ways with a speed calculator
Step-by-step explanation:
Classifying Triangles
According to the lengths of their sides, triangles can be classified into three types which are: Scalene, Isosceles. Equilateral.
What is the Classification of Triangles in Geometry?Triangles come in six different types and are divided into two groups, namely sides and angles. The three triangles are categorised as equilateral triangles, isosceles triangles, and scalene triangles based on their sides. Triangles can be classified as acute, obtuse, or right-angled depending on the angle at which they are formed.
Triangles are divided into three sorts based on their sides.
Equilateral triangle: A triangle is deemed to be an equilateral triangle if its three sides are all the same length.
Isosceles triangle: An isosceles triangle is one in which each of its sides are equal.
A triangle is said to be a scalene triangle if each of its three sides is a different length.
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You have been asked to find the value of f(-5) for the function:
f(x)=3[tex]x^{2}[/tex] -2x+5
Which of the following options is NOT a possible way to evaluate that function and find the correct answer?
Answer 1: See what x is when y=-5
Answer 2: Graph the equation and look at the table to find the y-value when x=-5
Answer 3: Substitute (-5) wherever there is an x and solver using a calculator
Answer 4: Graph the equation and find the y-value of the ordered pair when x=-5
The option that is not a possible way to evaluate that function and find the correct answer is given as follows:
Answer 1: See what x is when y=-5.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The function for this problem is defined as follows:
f(x) = 3x² - 2x + 5.
At x = -5, the numeric value is obtained replacing the two instances of x by -5, hence:
f(-5) = 3(-5)² - 2(-5) + 5 = 90.
Meaning that only answer 1 is incorrect.
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