The exact value of sinθ in simplest radical form is sinθ = 1.
The terminal side of an angle in standard position is a line passing through the point (x,y).
To find the exact value of sinθ, use the trigonometric identity sinθ = y/r, where r is the distance or length of the line segment from the origin
r = √(x² + y²)
Given the point (-20, 21), the value of sinθ is 21/√(20² + 21²).
Simplifying, 21/√(441), sinθ = 21/21 = 1.
Therefore, the exact value of sinθ in simplest radical form is sinθ = 1.
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A game requires players to throw a ball into a target. The table below shows values from the function that represents one path of a thrown ball, where x represents the horizontal distance the ball travels in feet and f(x) represents the height of the ball in feet. If the ball enters the target at the highest point in its path, based on the table, what is the height of the target? 1. 5 feet 4 feet 28 feet 29 feet.
Answer:
c
Step-by-step explanation:
29 feet
Determine whether the given points are on the graph of the equation
Answer
a) (0, 9) is not on the given graph.
b) (9, 0) is on the given graph.
c) (-9, 0) is on the given graph.
Explanation
The eqation of the function on the graph is given as
y² = x² - 81
We are then asked to check if some points are on this graph
To do that, we will substitute each ofthe given points into the equation as x and y and the ones that satisfy the equation are the ones that occur on the graph
a) (0, 9)
x = 0
y = 9
y² = x² - 81
9² = 0² - 81
81 = 0 - 81
81 ≠ -81
This point isn't on the graph.
b) (9, 0)
x = 9
y = 0
y² = x² - 81
0² = 9² - 81
0 = 81 - 81
0 = 0
This point is thus on the graph.
c) (-9, 0)
x = -9
y = 0
y² = x² - 81
0² = (-9)² - 81
0 = 81 - 81
0 = 0
This point is thus on the graph.
Hope this Helps!!!
A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours.
(a) What is the probability that a randomly chosen light bulb lasts more than 10,500 hours?
(b) Describe the distribution of the mean lifespan of 15 light bulbs.
(c) What is the probability that the mean lifespan of 15 randomly chosen light bulbs is more than 10,500 hours?
(d) Sketch the two distributions (population and sampling) on the same scale.
(e) Could you estimate the probabilities from parts (a) and (c) if the lifespans of light bulbs had a skewed distribution?
A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:
A normal distribution with,
μ = 9000
σ = 1000
a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.
x = 105000 - 9000 / 1000 ≈ 1.50
Determine the corresponding probability using the normal probability table in appendix,
P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)
= 1 - 0.9332 = 0.0668.
b) n = 15
The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.
The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
μ = 1000/√15 = 258.19
c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
The z-value is the sample mean decreased by the population mean, divided by the standard deviation:
z = x-u/σ/√n = 10500-9000/1000√15 = 5.81
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Which ordered pair is a solution to the following system of inequalities?
y< 2x+1
y 2 X-1
A. (-3,-11)
B. (0,6)
C. (5, 4)
D. (-8,0)
Answer: I think B
Step-by-step explanation:
The gross domestic product (GDP) of a certain country is projected to be N(t)=t^2 +4t+400 ≤t≤5 billion dollars tyr from now. What will be the rate of change of the country's GDP 3 yr from now? $10 billion/yr \$13 billion/yr $15 billion/yr \$11 billion/yr
The rate of change of the country's GDP 3 years from now is $10 billion/yr, based on the differentiation of the GDP function with respect to time.
To find the rate of change of the country's GDP 3 years from now, we need to differentiate the GDP function N(t) with respect to t and evaluate it at t = 3.
Given:
N(t) = t^2 + 4t + 400
Differentiating N(t) with respect to t:
N'(t) = 2t + 4
Evaluating N'(t) at t = 3:
N'(3) = 2(3) + 4
N'(3) = 6 + 4
N'(3) = 10 billion/yr
Therefore, the rate of change of the country's GDP 3 years from now is $10 billion/yr.The rate of change of the country's GDP 3 years from now is estimated to be $10 billion per year. This is determined by differentiating the GDP function N(t) with respect to time, which results in 2t + 4. Evaluating this expression at t = 3 yields a rate of change of 10 billion/yr.
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The table below represents a quadratic function. Use the data in the table to
determine the domain and range of the function.
x
-1
0
1
4
y
5
3
5
35
The domain is all real numbers and the Range is y ≥ 3.The correct answer is option A.
To determine the domain and range of the quadratic function based on the given table, let's analyze the values.
Domain represents the set of possible input values (x-values) for the function.
Range represents the set of possible output values (y-values) for the function.
From the given data:
x = -1, 0, 1, 4
y = 5, 3, 3, 5, 35
Looking at the x-values, we can see that the function has values for all real numbers. Therefore, the domain of the function is "all real numbers."
Now, let's consider the y-values. The minimum value of y is 3, and there are no y-values less than 3.
Additionally, the maximum value of y is 35. Based on this information, we can conclude that the range of the function is "y ≥ 3" since all y-values are greater than or equal to 3.
Therefore, the correct answer is:A. Domain: all real numbers
Range: y ≥ 3
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The probable question may be:
The table below represents a quadratic function. Use the data in the table to determine the domain and range of the function.
x= -1,0,1,4
y= 5,3,3,5,35
A. Domain: all real numbers Range: y ≥3
B. Domain: all real numbers
Range: x≥0
c. Domain: all real numbers
Range: y ≥0
D. Domain: all real numbers
Range: y ≤3
Timothy is at an elevation of –17.65 meters below sea level. He descends by 3
meters to observe a coral. What is his new elevation relative to sea level?
3 = b + 12
I need work and answer
Answer:
b= -9
Step-by-step explanation:
Plug in -9 for b.
3= -9+12
Solve.
3=3
Since both sides are equal, the answer is -9
I hope this helped you ;)
assembly programming and computer architecture for software engineers answers
1. False
2. False
3. True
4. True
5. True
1. CLD does not clear the zero flag (ZF). It is used to clear the direction flag (DF), which determines the direction of string operations.
2. REPNE (or REPNZ) will repeat as long as the zero flag (ZF) is not set. It checks the value of ZF before each iteration and continues until ZF becomes 0.
3. When repeating, the counter is decremented before the string instruction is executed. The counter is usually stored in the CX register and decremented automatically by the string instruction.
4. When repeating CMPS (compare strings), REPNZ (or REPNE) is used to continue repeating while the characters are not equal. It checks the ZF after each iteration and continues until ZF becomes 1.
5. STOS (store string) will initialize an array with whatever value is in the appropriate accumulator register. It stores the value from the accumulator into the destination memory location pointed to by the destination index register.
# Question: Assembly programming and computer architecture for software engineers answers
True/False 1. CLD clears the zero flag (ZF). 2. REPNE will repeat as long as ZF is set. 3. When repeating, the counter is decremented before the string instruction is executed. 4. When repeating CMPS, use REPNZ to continue repeating while the characters are equal. 5. STOS will initialize an array with whatever value is in the appropriate accumulator register.
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selena paid $15.00 for 6 gallons of gasoline what was the price per gallon
Answer:
$2.50
Step-by-step explanation:
Is Selena paid $15 for 6 gallons and you want to find the price for one gallon, all you need to do is divide the price of 6 gallons ($15) by the number of gallons (6).
15/6 = 2.5. Your answer is $2.50. Hope this helps ^-^
please helppppppppp!!!!
ow many groups of
1
5
5
1
start fraction, 1, divided by, 5, end fraction are in
4
44?
By the calculations below, there are 20 groups of 1/5 in 4.
Division of Fractions: Finding GroupsTo find out how many groups of 1/5 are in 4, we can use the concept of division of fractions.
Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem as:
4 ÷ 1/5
To find the reciprocal of 1/5, we flip the fraction:
1/5 → 5/1
Now, we can rewrite the division problem as multiplication:
4 ÷ 1/5 = 4 × 5/1
Multiplying across gives:
4 × 5/1 = 20
Therefore, there are 20 groups of 1/5 in 4.
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Kayla has a puppy that weighs 5 pounds. Kayla's brother Manuel has a puppy that is 65 times the weight of Kayla's puppy. Which statement about the weight of Manuel's puppy is true?
help im in class its urgent
I need help with Geometry
Answer:
A. segment QR
Step-by-step explanation:
It's a little hard to explain. Sorry for the inconvenience.
Hope this helps though. Have a nice day.
Answer:
Line RS
Step-by-step explanation:
1. Find S
S is 90 because the interior angles sum is 180. 180-44-46=90
2. Find the smallest angle
Angle Q
3. Find Q's opposing side
Which is RS
Hope this helps!
Using y/x = k, what is the value of k for Jack's data?
Answer:
1
Step-by-step explanation:
It takes Mark 45 minutes to ride his bike 5 miles. At this rate, how long will it take him to ride 8 miles?
Answer:
1 hour and 12 mins
Step-by-step explanation:
airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. what is the individual?
airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.
What is a case?
In statistics, the word case is used to refer to the individual from which data is collected. For example, in a study about students' performance, the cases are each of the students.
What is the case in this situation?
Considering the administrators will need to weight and record each bag, the cases are each piece of baggage.
A. Number of bags weighing more than 75 pounds.
B. Average weight of the bags.
C. Each piece of baggage.
D. The airport administrators.
Hence airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.
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What is the value of the rational expression below when x is equal to 6?x-2X-5A. 3B. 8cC. 4O D. Z
1) This is a question in which we need to evaluate x when x=6.
2) So, we can plug x=6 into that rational equation to figure out the value:
\(\frac{x-2}{x-5}=\frac{6-2}{6-5}=\frac{4}{1}=4\)So, that is the answer
This histogram shows the number of people who volunteered for community service and the number of hours they worked.
How many volunteers worked no more than 10 hours?
A 30 volunteers
B 35 volunteers
C 55 volunteers
D 60 volunteers
Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
Please see the image below(math)
Answer:
21
Step-by-step explanation:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
AD AH
----- = ---------
AB AH +y
3 9
---- = ------
10 9+y
Using cross products:
3(9+y) = 9*10
27+3y = 90
3y = 90-27
3y =63
y = 63/3
y = 21
Answer:
y = 21
Step-by-step explanation:
According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.
Therefore, according to the Side Splitter Theorem:
\(\boxed{\sf AD : DB = AH : HC}\)
From inspection of the given triangle, the lengths of the line segments are:
AD = 3DB = 7AH = 9HC = yTo find the value of y, substitute the given line segment lengths into the proportion and solve for y:
\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)
Therefore, the value of y is 21.
Pedro fills up his truck with gas he paid $2.75 a gallon which of these represents an amount and price of gas that Pedro purchased select all that apply
The options that represent an amount and price of gas that Pedro purchased are 19 gallons of gas for $52.25, 16 gallons of gas for $44. So options C and D are correct.
To calculate the amount of gas and the total price that Pedro purchased, we need to use the formula:
Price = Cost per gallon * Number of gallons
Dividing the total price by the cost per gallon will give us the number of gallons purchased. We can then compare this with the given options to see which one(s) match.
Using the given cost per gallon of $2.75, we can check each option:
a) 13.75 gallons of gas for $41.25
Price = $2.75/gallon * 13.75 gallons = $37.81
This option does not match the total price of $41.25, so it is not correct.
b) 22 gallons of gas for $71.5
Price = $2.75/gallon * 22 gallons = $60.50
This option does not match the total price of $71.5, so it is not correct.
c) 19 gallons of gas for $52.25
Price = $2.75/gallon * 19 gallons = $52.25
This option matches the total price of $52.25, so it is correct.
d) 16 gallons of gas for $44
Price = $2.75/gallon * 16 gallons = $44
This option matches the total price of $44, so it is correct.
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Complete question is:
Pedro fills up his truck with gas he paid $2.75 a gallon which of these represents an amount and price of gas that Pedro purchased select all that apply.
a) 13.75 gallons of gas for $41.25
b) 22 gallons of gas for $71.5
c) 19 gallons of gas for $52.25
d) 16 gallons of gas for $44
Point D(2,4) is rotated 180 degrees about the origin. What are the coordinates of D'?
The coordinates of D' are D' = (-2, -4)
What are the coordinates of D'?The given paramaters are
D = (2, 4)
The rule is given as
180 degrees about the origin.
This is represented as
(x, y) = (-x, -y)
So, we have
D' = (-2, -4)
Hence, the coordinates of D' are D' = (-2, -4)
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C) if two individuals are chosen at random from the population, what is the probability that at least one will have some college or a college degree of some sort?
The probability that neither of the two individuals has some college or a college degree is (1 - P(college))^2.
To calculate the probability that at least one of the two individuals chosen at random from the population will have some college or a college degree, we need to consider the complement of the event, which is the probability that none of the individuals have a college degree.
Let's assume that the population size is N, and the number of individuals with a college degree is C. The probability that an individual does not have a college degree is (N - C) / N.
When choosing the first individual, the probability that they do not have a college degree is (N - C) / N.
When choosing the second individual, the probability that they do not have a college degree is also (N - C) / N.
Since these events are independent, we can multiply the probabilities together:
P(no college degree for either individual) = (N - C) / N * (N - C) / N = (N - C)² / N².
Now, to find the probability that at least one of the individuals has a college degree, we subtract the probability of none of them having a college degree from 1:
P(at least one with a college degree) = 1 - P(no college degree for either individual) = 1 - (N - C)² / N².
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Can someone help solve question 12 and 13 please
answer:
the answers are undefined and zero ( and in that order )
step-by-step explanation:
for question 12,
x = 10
since that equation is just a vertical line, the slope is undefined!
but for question 13
y = -5
the equation is just a horizontal line rather then a vertical line, the slope is zero ( since it is not moving )
i hope this helps you and if you need anymore help then please feel free to ask me! :)
Simon earns $8.50 per hour for up to 30 hours of work
in a given week. For each hour Simon works over 30
hours in a week, he earns 1.5 times his regular hourly
rate. How much does Simon earn for a week in which
he works 35 hours?
Answer:$318.75
Step-by-step explanation:
PLS HELP ASAP I DONT NNOW HOW TO DO THIS
Answer:
I think you do know how because where the point is now is correct!!
The area of a rectangle is given as x2+5x+6. which expression represents either the length or widith of the rectangle. these are the answers, it has to be one of these (x-3) (x+1) (x+3) (x+6)
The expression which represents either the length or width is (x+3). The correct answer is option (c).
Given that the area of a rectangle which is given as x²+5x+6.
We have to find which expression represents either the length or width.
We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.
So, will find the factoring the expression we can see expressions for the length and the width.
Factoring x²+5x+6 we get (x+2)(x+3).
One of these factors is the width and the other is the length.
Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).
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Determine the number of solutions for the equation below.
-7x + 7 + 12x = 5x + 7
A. infinite solutions
B. Two solutions
C. One solution
D. no solution
Answer:
ANS:- No solution
Step-by-step explanation:
-7x + 7 + 12x = 5x + 7
5x + 7 = 5x + 7
0 = 0