Answer:
y = 96°
Step-by-step explanation:
The measure of the inscribed angle y is half the measure of its intercepted arc.
The whole circle = 360°
the intercepted arc = 360° - 168° = 192°
Thus
y = \(\frac{1}{2}\) × 192° = 96°
If a projectile is fired straight upward from the ground with an initial speed of 32 feet per second, then its height h in feet after t seconds is given by the function
h(t)=-16²+32t. Find the maximum height of the projectile
of the projectile
Answer:
it's 16 feet can you help me in something please?
A system of two linear equations in two variables has no solution. What statement is accurate about these two linear equations?
Responses
The two linear equations never intersect.
The two linear equations never intersect.
The two linear equations graph the same line.
The two linear equations graph the same line.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the y-axis.
The two linear equations do not cross the y-axis.
The two linear equations intersect at exactly one point.
The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.
How many types of solution are there for two linear equations ?
There are 2 types of solution :
Consistent :
A consistent system is said to be an independent system if it has a single solution.
A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.
Non-consistent :
Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.
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The two linear equations never intersect.
When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.
If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.
It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.
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A. (-2,3)
B. (-3,1)
C. (3,-2)
D. (1, -3)
find f ( a ) , f ( a h ) , and the difference quotient for the function given below, where h ≠ 0 . f ( x ) = 8 x − 9
The difference quotient for the function is 8.
The function is given by:
f ( x ) = 8 x − 9, where h ≠ 0
To find f(a), substitute a for x in the function. So we have:
f ( a ) = 8 a − 9
To find f(a + h), substitute a + h for x in the function. So we have:
f ( a + h ) = 8 ( a + h ) − 9
The difference quotient can be found using the formula:
(f(a + h) - f(a))/h
Substituting the values found above, we have:
(8 ( a + h ) − 9 - (8 a − 9))/h
Expanding the brackets and simplifying, we have:
((8a + 8h) - 9 - 8a + 9)/h
= 8h/h
= 8
Therefore, the difference quotient for the function is 8.
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COMPLETE THE FOLLOWING EQUATION USING APPROPRIATE SIGN ( +,-,x,÷) IN THE BOXES GIVEN:
REMEMBER TO USE (DMAS)
Answer:
) +, -
e) x, ÷
g) ÷
Step-by-step explanation:
If 9: x= x4, then x=
Answer:
x = ±6
Step-by-step explanation:
9 : x = x : 4
9/x = x/4
Cross multiply.
x² = 9 × 4
x² = 36
x = ±√36
x = ±6
In a class of 28 sluderds, 14 take physics and
22 take mathematics. The students in the class
take at least one of the two subjects;
Calculate how many
students take both subjects
It can be solved using a Venn diagram. Total 8 students took both subjects.
Describe the Venn diagram.A Venn diagram uses overlapping circles or other shapes to represent the relationships between two or more groups of objects. They typically serve to attractively organize objects, highlighting both the similarities and differences between the components. In the fields of mathematics, statistics, logic, education, linguistics, computer science, and business, Venn diagrams are extensively utilized.
It can be solved using a Venn diagram as
14 students take Physics, 6 students take mathematics and the rest 8 take both subjects.
where, 14(Physics) + 6(mathematics) + 8(both) = 28 (which is the total no. of students).
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Suppose you have an algorithm A that takes as input an array M[0,1,...,n - 1] of n integers. The algorithm is defined by two functionsf: Z → Zand g: ZXZ â€" Z. If n = 1, then the algorithm computes a function f (g), where is the single entry in the array, and returns this integer value. For larger values of n, the algorithm Computes two new arrays that start at positions i = 0 and [n/3 - 1] and that include [2n/3] elements. Thus, if n = 15, the new arrays would begin at positions 0 and 4 and contain 10 elements each The algorithm then runs recursively on each subarray, and stores the value. This returns an ordered set of two integers, x, y,. The algorithm then computes g(x, y), and returns this value. We would like to write down a function (n) for the running time of this algorithm on inputs of arrays of n elements. Assume that computing f (9) and g(x, y) each cost only one operation. Counting all the operations for each step, which of the following recurrence relations would seem to fit? To make the problem easy to solve, you should assume that n = 3k for some non-negative integer a. t(1) = and t(n) = 2t(n/2) + 1, for some positive constant C O b. t(1) = C, and t(n) = 21(2n/3), for some positive constant c. 1(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2 d. 1(1) = C, and t(n) = 21(2n/3) + C2n, for some positive constants C, C2 e. f(1) = C, and t(n) = 2t(n/3) + C2, for some positive constants C, C2
Based on the given algorithm, we can analyze the recurrence relation for the running time of the algorithm on inputs of arrays of n elements.
Let's denote the running time of the algorithm for an input of size n as t(n).
For n = 1, the algorithm computes f(g) for a single entry in the array, which costs a constant time, let's say C1. Therefore, we have:
t (1) = C1
For larger values of n, the algorithm splits the array into two subarrays of size 2n/3 each and runs recursively on each subarray. This step incurs a running time of t(2n/3) for each subarray.
Additionally, the algorithm performs the computation g(x, y) on the resulting ordered set of two integers, which costs a constant time, let's say C2.
Considering these factors, we can write the recurrence relation for the running time as:
t(n) = 2t(2n/3) + C2
Therefore, the correct option among the given recurrence relations that seems to fit the running time of the algorithm is:
c. t(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2
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reflected over the x-axis, then translated 7 units left and 1 unit up
what is the equation
What is the slope for y = 4 + 3x? *
Your answer
Answer:
3
Step-by-step explanation:
Round 837.6186 to the nearest hundredth. Enter your answer in the space
provided
Answer:
837.62
Step-by-step explanation:
Two decimal places to the right of the decimal is the hundredths place. When we round, we use the number after it to determine the number. 8 is greater than 5, so the 1 after the 6 will turn into a 2.
HELPP I HAVE A MATH EXAM TOMORROW AND IM WONDERING IF ANYONE KNOWS HOW TO WRITE THE RATIO 21 : 14 in its simplest form
Answer: The simplest form of 2114 is 32.
given 3 inputs: p1 with values v1 and v2; p2 with value v3, and p3 with values v4 and v5, what are the correct tests for a pairwise combination design of experiments? 1 point
The correct tests for a pairwise combination design of experiments are: Given 3 inputs: p1 with values v1 and v2; p2 with value v3, and p3 with values v4 and v5.
Pairwise testing is a popular black-box testing technique used for testing software applications. Pairwise testing is a software testing technique that is used to reduce the number of test cases while still ensuring that all combinations of input parameters are tested at least once. The correct tests for a pairwise combination design of experiments are : Test each input parameter individually.
Test every possible pair of input parameters. Test the interactions of three input parameters.
The technique of pairwise testing is a technique that involves testing every possible pair of input parameters in a system. When there are three or more input parameters, this technique may not be practical because it can lead to a large number of test cases. As a result, we can use the technique of pairwise combination design of experiments. Pairwise combination design of experiments is a technique that involves testing all possible pairs of input parameters. To be more specific, the correct tests for a pairwise combination design of experiments are: Test each input parameter individually. Test every possible pair of input parameters.
Test the interactions of three input parameters. Pairwise testing is a black-box testing technique that is particularly useful for testing software applications. It is based on the idea that most defects are caused by interactions between input parameters, rather than by individual parameters. By testing every possible pair of input parameters, the tester can identify and eliminate defects that are caused by these interactions. In addition, by using a pairwise combination design of experiments, the tester can reduce the number of test cases required to test all combinations of input parameters, thus saving time and resources.
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Evaluate 9 divided by 3[(20 - 7) - 2^2].
Answer:
9 ÷ 3[ 13 - 4]
9 ÷ 3[9]
1/3 = 0.34
answer option b (0.34)
pls mark as Brainliest
1x + 2 - 3 = 8
what is x?
Answer:
x= Multiplication
Step-by-step explanation:
1 x +2 -3 =8
Answer:
x = 9
Step-by-step explanation:
Hope this helps
-4x = -60 on a graph
The graph of the equation -4x = -60 is shown below.
How to Graph the Equation of a vertical Line?A vertical line is expressed as the equation, x = b. Here, the variable "b" is the point on the x-axis where the line intercepts the horizontal axis.
Thus, to plot the graph for a vertical line with the equation, x = b, we would simply draw a vertical line that crosses the x-axis at point b.
Given the equation, -4x = -60, rewrite the equation in the form x = b, to determine the value of b:
-4x/-4 = -60/-4 [division property of equality]
x = 15
This means that the graph of the equation, -4x = -60, would be a graph that has a vertical line that crosses the x-axis at 15.
the graph is shown below.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.
Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow.
Determine the theoretical probability of the spinner not landing on yellow, P(not yellow).
The theoretical probability of the spinner not landing on yellow, would be 75 %.
How to find the probability ?In order to calculate the likelihood of the spinner not landing on yellow, it is necessary to initially identify the quantity of non-yellow partitions and subsequently divide this by the full tally of sections. The spinner comprises a total of 8 individual segments.
Of these, two (i.e., sections 2 and 3) are colored in shades of yellow, hence totaling two yellow sectors. This leaves a further six compartments - numbered 1, 4, 5, 6, 7 and 8, that do not fall into the category of "yellow."
The probability is therefore :
= ( Number of not yellow sections ) / ( Total number of sections )
= 6 / 8
= 3 / 4
= 75 %
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What is the distance between the point m(-21,-7) and n(-5,-7)
6(x + 1) = -2(3x + 9)
Answer:
x=-2
Step-by-step explanation:
6(x + 1) = -2(3x + 9)
Distribute 6 and -2.
6x+6=-6x-18
Move the variable to the left-hand side and move the constant to the right and change their signs.
6x+6x=-18-6
Collect like terms.
12x=-24
Divide both sides of the equation by 12.
x=-2
Hope this helps :)
solve the inequality -2x+4>64
Answer: x< -30
Step-by-step explanation:
Question Progres
Homework Progress
15 / 46 Marts
A store employs 11 women and 12 men.
What percentage of the employees are men?
Give your answer to 1 decimal place.
1. The top four languages spoken by the greatest number of people worldwide are...
2. Religions are important keys to human geographic understanding because...
1. The top four languages spoken worldwide are Mandarin Chinese, Spanish, English, and Hindi.
2. Religions are important for human geography understanding as they influence people's behaviors and interactions with the environment.
3. Religions shape land use patterns, settlement locations, migration, and cultural landscapes.
1. The top four languages spoken by the greatest number of people worldwide are Mandarin Chinese, Spanish, English, and Hindi. Mandarin Chinese is the most widely spoken language, with over 1 billion speakers. Spanish is the second most spoken language, followed by English and then Hindi.
These languages are widely used in different regions of the world and play a significant role in international communication and cultural exchange.
2. Religions are important keys to human geographic understanding because they shape people's beliefs, values, and behaviors, which in turn influence their interactions with the physical environment and other human populations. For example, religious practices can determine land use patterns, settlement locations, and even migration patterns.
Religious sites and pilgrimage routes also contribute to the development of cultural landscapes and can attract tourism and economic activities. Understanding the role of religion in human geography helps us comprehend the diverse ways people connect with and impact their environments.
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The usual price of a bottle of champagne was $52. Stanley sold the bottle of champagne to Eugene for $59.80.
Find the percentage increase in price.
Answer:
u get 59.08 divide by 52 multiply by 100% u get da answer
đa thức p (x) = 2x ^ 3 - 3x ^ 2 + qx +56 có nhân tử là x-2 a) chứng tỏ q = -30? b) thừa số p (x) hoàn toàn và do đó xác định tất cả các nghiệm của p (x) = 0
PLEASE HELP IT WORTH 50 points!!!!!
Answer:
(x-3) (x-2)
Step-by-step explanation:
\(x^{2}\) - 5x + 6
How to break down the equation and factorise it:
-3 x -2 = 6
-3 + -2 = -5
Final Answer:
(x-3) (x-2)
A ball bounces to a height of 6.7 feet on the first bounce. Each subsequent bounce reaches a height that is 81% of the previous bounce. What is the height, in feet, of the sixth bounce
After solving, the height in feet of the sixth bounce is 1.892 feet.
In the given question, we ave to find the height, in feet, of the sixth bounce.
From the given question,
Height on the first bounce = 6.7
Subsequent bounce reaches a height of the previous bounce = 81%
Suppose the height is h.
So according to the question:
h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6
h(6) = 6.7*(81%)^6
h(6) = 1.892 feet
So the height of sixth bounce is 1.892 feet.
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What is the result when 4x3 + 19x2 + 29x + 14 is divided by 4x + 7?
Step-by-step explanation:
4x³ + 19x² + 29x + 14
= (4x³ + 7x²) + (12x² + 21x) + (8x + 14)
= x²(4x + 7) + 3x(4x + 7) + 2(4x + 7).
= (x² + 3x + 2)(4x + 7).
Hence 4x³ + 19x² + 29x + 14 divided by 4x + 7 is x² + 3x + 2 or (x + 1)(x + 2).
A tile pattern is growing by 6 and has 73 tiles in figure 0. What is the equation that represents the situation?
Remember that is the figure number and y is the total number of tiles.
The equation that represents the situation is y = 6x + 73. This equation can be used to determine the total number of tiles (y) for a given figure (x).
To calculate this equation, we first need to identify the two variables – the figure number (x) and the total number of tiles (y). Then, we can use the given information to set up the equation. We know that for figure 0, there are 73 tiles, so we can say y = 73. We also know that the pattern is growing by 6, so we can say y = 6x. Combining these two equations, we can say y = 6x + 73.
In order to calculate the total number of tiles for a certain figure, we can plug in the figure number into the equation. For example, if we wanted to calculate the total number of tiles for figure 5, we would plug in 5 for x. That would give us y = 6(5) + 73. Simplifying the equation, we would get y = 48 + 73, which equals 121. So, the total number of tiles for figure 5 is 121.
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Complete the series 1,1,4,12,__
Hi how are you call 112 you will get nice
can someone please help me with 13? there’s only two options you can see them in the picture
Answer:
The value of x is 5.8
Step-by-step explanation:
Here. we want to find the value of x
To do this, we need the appropriate trigonometric identity
As we can see 10 is the opposite as it faces the side given
x is the adjacent
The trigonometric identity relating opposite and adjacent is tan . Tan is the ratio of the opposite to the adjacent
Thus, mathematically;
Tan 60 = 10/x
x = 10/tan 60
x = 5.8