Answer:
-2 1/6
Step-by-step explanation:
given list: ( 6, 13, 14, 30, 38, 50, 60, 72, 76, 87, 90, 92 ) ex: 42, 32, 12 which list elements will be compared to key 60 using binary search? enter elements in the order checked.
Using binary search to find the key 60 in the given list, the elements compared in order are: 38, 76, 60.
1. We start by comparing the key (60) to the middle element of the list, which is 38. Since 60 is greater than 38, we know that the key must be in the second half of the list.
2. Next, we compare the key to the middle element of the second half of the list, which is 76. Since 60 is less than 76, we know that the key must be in the first half of the second half of the list.
3. We then compare the key to the middle element of the first half of the second half of the list, which is 50. Since 60 is greater than 50, we know that the key must be in the second half of the first half of the second half of the list.
4. Next, we compare the key to the middle element of the second half of the first half of the second half of the list, which is 72. Since 60 is less than 72, we know that the key must be in the first half of the second half of the first half of the second half of the list.
5. Finally, we compare the key to the middle element of the first half of the second half of the first half of the second half of the list, which is 60. Since 60 is equal to 60, we have found the position of the key in the list.
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A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible lengths for the third side?.
The possible lengths( in whole elevation) for the third side is
9 elevation< x< 45 elevation, i.e in between 9 and 45 elevation.
For the below question, we've a rule from the properties of triangle, the sum of the length of any two sides of the triangle must be lesser than the length of the third side.
Hence
She has two sides of length 18 elevation and 27 elevation
Let the third side = x
Hence
a) 18 27> x
45> x
b) 18 x> 27
x> 27- 18
x> 9
thus, the possible lengths( in whole elevation) for the third side is
elevation< x< 45 elevation
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A worker bee has a mass of 2 x 10^-4 kilograms. There are
8 x 10^4worker bees living in one hive. What is the mass
of all the worker bees in the hive together?
•Write your final answer in STANDARD form.
•Only type in the numerical answer.
To find the total mass of all the worker bees in the hive, you need to multiply the mass of a single worker bee by the number of worker bees in the hive.
The mass of a single worker bee is 2 x 10^-4 kilograms, and there are 8 x 10^4 worker bees in the hive.
So the total mass of all the worker bees in the hive is (2 x 10^-4 kilograms) * (8 x 10^4 worker bees) = 0.16 kilograms.
In standard form, this is written as 1.6 x 10^-1 kilograms.
Select the graph of the quadratic function g(x) = 2x2. Identify the domain and range
Answer:
Step-by-step explanation:
None of them are correct. The closest is D.
The domain is all real x or (-∞, ∞)
The range is [0, ∞).
if a function has vertical asymptotes, can it be continuous?
we have that
if a function has vertical asymptotes
then
The function is not continuous
Example
f(x)=1/x
The function has a vertical asymptote at x=0
The domain is the interval (-infinite,0) U (0, infinite)
The value of x=0 is not included in the domain
therefore
The function is not continuous
Solve for f please I need help
Answer:
See Below
Step-by-step explanation:
Isolate f
h = 4 + f
-4 -4
h - 4 = f
Or f = h-4
Perform the indicated operation.
6/y-z - 2/y-z
1. -4/y+z
2. -4/y-z
3. 4/y-z
4. 4/y+z
The value of the given expression 6/(y-z) - 2/(y-z) is 4/(y-z). Option 3 is the correct answer.
What are like terms?In algebra, like terms are those in which the same variable(s) are raised to the same power (s). Because they both have the same variable (y) raised to the same power, the expressions 2xy and -5y are similar (1). When combining terms that have similar coefficients, it's important to preserve the exponent and variable constants.
The given expression is 6/(y-z) - 2/(y-z).
Simplifying the expression by combining the like terms we have:
(6 - 2)/(y-z) = 4/(y-z)
Hence, the value of the given expression is option 3 4/(y-z).
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The sum of terms of an arithmetic progression is . and
the common difference is . Find the first term of the series
The first term of the series, given the sum of the arithmetic progression and the common difference, is - 1 / 2 .
How to find the first term of the series ?In an arithmetic progression, the sum of the terms (S) can be calculated by the formula:
S = n / 2 x ( 2a + ( n - 1 ) d )
Substitute the known values into the equation:
202. 5 = 15 / 2 x ( 2a + ( 15 - 1 ) 2 )
Simplify and solve for a:
202.5 = 15 / 2 x ( 2a + 28)
202.5 = 7. 5 x ( 2a + 28)
27 = 2a + 28
2a = 27 - 28
2a = - 1
a = - 1 / 2
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The full question is:
The sum of 15 terms of an arithmetic progression is 202.5 and the common difference is 2. Find the first term of the series
3/12 simplified version
Answer:
1/4
Step-by-step explanation:
divide numerator and denominator by 3
The arc length x = True O False 4(3 + y)² on the interval [1, 4] is approximately 131 units.
The statement is false. The arc length of the curve defined by x = 4(3 + y)² on the interval [1, 4] is not approximately 131 units.
To find the arc length of a curve, we use the formula ∫ √(1 + (dx/dy)²) dy, where the integral is taken over the given interval.
In this case, the equation x = 4(3 + y)² represents a parabolic curve. By differentiating x with respect to y and substituting it into the arc length formula, we can calculate the exact arc length over the interval [1, 4].
However, it is clear that the arc length of the curve defined by x = 4(3 + y)² cannot be approximately 131 units, as this would require a specific calculation using the precise integral formula mentioned above.
Therefore, the statement is false, and without further calculations, we cannot determine the exact arc length of the given curve on the interval [1, 4].
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5* Le terrain de M. Campo mesure 1250 m².
C'est 450 m² de plus que celui de M. Vergne.
Quelle est la superficie du terrain de
M. Vergne ?
Answer:
800 m^2
Step-by-step explanation:
= 1250 - 450
= 800 m^2 est la superficie de la terre de M. Vergne
j'espère que ma réponse t'aidera.
Solve for y.
2y^2 - 10y+44 =(y-7)^2
If there is more than one solution, separate them with commas.
Answer:
y = -5, 1
Step-by-step explanation:
2y² - 10y + 44 = (y - 7)²
expand (y - 7)²
(y - 7)² = y² - 14y + 49
move it to the left
(2y² - 10y + 44) - (y² - 14y + 49) = 0
distribute the (-)
2y² - 10 y + 44 - y² + 14y - 49 = 0
combine like terms
y² - 4y -5
factor with factoring X
y² + 5y - y - 5 = 0
factor by grouping ↓
factor out a y from first half of equation
y(y + 5) - y - 5 = 0
factor out a (-) from second half of equation
y(y +5) - (y + 5) = 0
(y +5)(y - 1) = 0
y = -5, 1
100 POINTS AND BRAINLIEST!!!!!
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.
What is the theoretical probability of randomly drawing either a red marble or a blue marble?
20%
32%
13%
52%
Answer:
52%
Step-by-step explanation:
5+8+12=25
5+8 or red+blue= 13
13/25= 52%
Answer:
52
Step-by-step explanation:
5 red
8blue
12 green
12±8±5=25
25=100percent
12=12×100÷25=48green
8=8×100÷25=32blue
5=5×100÷55=20red
32±20=52
Find the slope of the line that contains (10 -1) and (-8 6)
The Slope of the line whose coordinates are given that (10 -1) and (-8 6) is the change in y coordinate with respect to the change in x coordinate is (-7/18).
Here the coordinates are (10 -1) and (-8 6) that means :-
X1 = 10
X2 = -8
Y1 = -1
Y2 = 6
So slope of line = (Y2-Y1)/(X2-X1)
slope = 6-(-1)/-8-10
slope = 7/-18
Hence the slope of the line containing (10 -1) and (-8 6) would be 7/-18.
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.
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when you create an array using the following statement, the element values are automatically initialized to [][] matrix = new int[5][5];
When an array is created using the following statement, the element values are automatically initialized to 0. The statement is: `[][] matrix = new int[5][5];`. Arrays are objects in Java programming that store a collection of data.
It is a collection of variables of the same data type. Each variable is known as an element of the array. In Java, an array can store both primitive and reference types.The elements of an array can be accessed using an index or subscript that starts from 0.
The index specifies the position of an element in the array. For example, the first element of an array has an index of 0, the second element has an index of 1, and so on. In multidimensional arrays, each element is identified by a set of indices that correspond to its position in the array.
For example, the element at row i and column j of a 2D array can be accessed using the expression `array[i][j]`.When an array is created using the `new` operator, memory is allocated for the array on the heap.
The elements of the array are initialized to default values based on their data type. For numeric data types such as `int`, `float`, `double`, etc., the default value is 0. For boolean data types, the default value is `false`, and for reference types, the default value is `null`.
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What is the Y-intercept of the line shown above
What are some parent functions with a domain of all real numbers?
Answer:
The identity function has a slope of m = 1 and a y-intercept of (0, 0) .
Step-by-step explanation:
The identity function is a special type of linear function having the form f(x) = x . The domain of this function is all real numbers and the range consists of all real numbers .
its algebra help 37 points
3. Solving 13x² - 7 = 62
- Subtract 62 from both sides: 13x^2 - 7 - 62 = 62 - 62
- Simplify - 13x² - 7 - 62 = 0
- Combine like terms: 13x² - 69 = 0
- Now, we can solve this quadratic equation using the square root method or factoring. Let's use the square root method
- Add 69 to both sides: 13x² = 69
- Divide both sides by 13: x² = 69/13
- Take the square root of both sides: √(x²) = ±√(69/13)
- Simplify: x = ±√(69/13)
4. Solving x² + 2x - 24 = 0 -
- To solve this quadratic equation, let's factor it
- Find two numbers that multiply to give -24 and add up to 2. The numbers are 6 and -4.
- Rewrite the middle term - x² + 6x - 4x - 24 = 0
- Group the terms and factor by grouping: (x² + 6x) + (-4x - 24) = 0
- Factor out the common terms: x(x + 6) - 4(x + 6) = 0
- Combine like terms: (x - 4)(x + 6) = 0
- Now, set each factor equal to zero and solve for x -
- x - 4 = 0; x = 4
- x + 6 = 0; x = -6
So, the solutions for equation 3 are x = ±√(69/13), and the solutions for equation 4 are x = 4 and x = -6.
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Use rise/run for this
Answer:
The table displays a higher rate because the slope in the table is bigger than the slope in the graph.
What does a graph's slope mean?
The graph's slope serves as a gauge for a line's steepness. It is the ratio of any two places on the line's vertical change (rise) to horizontal change (run). Slope is defined mathematically as: Slope (m) = (change in y)/(change in x).
The slope from the table is:
y2 - y1/x2 - x1
m = 42 - 30/7 - 5
= 6
The slope from the graph is:
8 - 0/1.5 - 0
m = 5.33
whats the common denominator of 3/4 and 5/6
Answer:
60 Hope this helps you :)
Step-by-step explanation:
A student club has 60 members. They want to elect two officers who will serve as the president and the vice president of the club. The club bylaws dictate that the selections be done without replacement and that the first person selected would serve as the president and the second person selected would serve as the vice president. Calculate how many different ways the selections can be made if: a) There is no restriction on who is elected and whoever is elected will accept to serve. (2 Points) b) Two members, say A and B, will accept to serve only if they are elected to serve together. (3 Points)
Answer:
3540
2
Step-by-step explanation:
Total number of members = 60
Number of members to be elected = 2
Since the order of selection matters as the first is president and second is vice president ;
Using the permutation formula :
nPr = n! ÷ (n-r)!
60P2 = 60! ÷ (60 - 2)!
60P2 = 60! ÷ 58!
60P2 = 3540
B.) 2 members A and B will accept to serve only if they are selected to serve together ;
Since only 2 members (president and vice president) are to be chosen ; Hence, only the tow of them (A and B) will be chosen, to do this ;
2P2 = 2! /(2 - 2)! = 2! / 0! = (2*1)/1 = 2
Consider The Graph shown?
Write the slope-intercept form (y=mx + b) of the blue line.
Explain or show your work.
Write a one-sentence summary comparing the blue line to the black line.
Hint: Find the y-intercept. Then count up and over (y/x) to the next point on the line to determine the slope.
Answer:
y = 1/2x + 2
Comparison: The black and blue line haver the same y-intercept, however they have different slopes. The slope of the black line is 2/3 and the slope of the blue line is 1/2.
Step-by-step explanation:
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Sulfuric acid, H2SO4, can be neutralized by sodium hydroxide, NaOH. The unbalanced equation is:
H2SO4(aq) + NaOH(aq) → Na2SO4(aq) + H2O(l)
A student who was asked to balance the reaction wrote the following:
H2SO4(aq) + Na2OH(aq) →Na2SO4(aq) + H3O(l)
Is this correct? Explain why or why not using what you know about the law of conservation of mass and chemical changes. If necessary, provide the correct balanced equation.
Answer:
No,
Step-by-step explanation:
No, as the law of the conservation of mass states no atoms are lost or gained in a chemical reaction.You can only balance the equation by multiplying a molecule
How is this maths? btw
Pls, give me brainliest
pls:(
Answer:
The student is incorrect.
Step-by-step explanation:
According to the law of conservation, matter is never created nor destroyed. The same rule applies for atoms, so multiplying a molecule is the only way to balance an equation. The student is incorrect in his balancing of the equation.
Thirteen less than eight times a number is three more than four times the number.
What is the number?
Answer:
Step-by-step explanation:
Let the number = x
8x - 13 = 4x + 3 Add 13
8x = 4x + 3 + 13 Combine
8x = 4x + 16 Subtract 4x
8x - 4x = 16 Combine
4x = 16 Divide by 4
x = 16/4
x = 4
If 18 , x , y , -3 are in A.P then find x + y.
Answer:
15
Step-by-step explanation:
If this is an arithmetic progression, then there is a common difference.
-3-18 = -21
-21/3 = -7
18 - 7 = x
x = 11
11 - 7 = y
y = 4
4 - 7 = -3
x + y
11 + 4 = 15
Given circle and circle with radii of 6cm and 4cm respectively.
Compare the length of EF and GH.
The length of EF is ____the length of GH
The length of EF is___
The length of GH is ___
Solution :
Given that :
The radius of circle A = 6 cm
The radius of circle C = 4 cm
In circle A
\(\angle EAF = \theta = 140^\circ\)
The length of arc EF = \($2 \pi r \times \frac{\theta}{360^\circ}$\)
\($=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$\)
= 14.653 cm
In circle C
\(\angle GCH = \theta = 140^\circ\)
The length of arc GH = \($2 \pi r \times \frac{\theta}{360^\circ}$\)
\($=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$\)
= 9.769 cm
Therefore,
The length of EF is 14.653 cm
The length of GH is 9.769 cm
The length of EF is 1.5 times the length of GH
i.e. 14.653 = 1.5 x 9.769
14.653 = 14.653
Hence proved.
Myra reads 8 pages of her book. If this is 25% of her book. How many pages does she have left to read?
y=−8x−3 x+y=7 Is (3,4) a solution of the system?
Answer:
no
Step-by-step explanation:
negative 8 times 3 is negative 32 . subtract three and you get -35, which is not equal to 4
Which values represent solutions to cos
(Pi/4-x)= square root of 2/2 sin x, where x € (0,2 pi)?
The solutions to the equation cos(Pi/4 - x) = sqrt(2)/2 sin(x), where x ∈ (0, 2pi), are x = Pi/4 and x = 7Pi/4.
To find the solutions to the given equation, we can start by simplifying it. Using the identity cos(Pi/4 - x) = cos(Pi/4)cos(x) + sin(Pi/4)sin(x), we get (sqrt(2)/2)cos(x) + (sqrt(2)/2)sin(x) = sqrt(2)/2 sin(x).
Next, we can cancel out sqrt(2)/2 from both sides, resulting in cos(x) + sin(x) = sin(x). Subtracting sin(x) from both sides, we have cos(x) = 0.
In the interval (0, 2pi), the values of x where cos(x) = 0 are x = Pi/2 and x = 3Pi/2. However, we need to consider the equation cos(Pi/4 - x) = sqrt(2)/2 sin(x).
For x = Pi/2, cos(Pi/4 - x) = cos(Pi/4 - Pi/2) = cos(-Pi/4) = cos(Pi/4) = sqrt(2)/2. And sqrt(2)/2 sin(x) = sqrt(2)/2 sin(Pi/2) = sqrt(2)/2.
Similarly, for x = 3Pi/2, cos(Pi/4 - x) = cos(Pi/4 - 3Pi/2) = cos(5Pi/4) = -sqrt(2)/2. And sqrt(2)/2 sin(x) = sqrt(2)/2 sin(3Pi/2) = -sqrt(2)/2.
Therefore, the solutions to the equation cos(Pi/4 - x) = sqrt(2)/2 sin(x), where x ∈ (0, 2pi), are x = Pi/4 and x = 7Pi/4.
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1. A history teacher asks six of her students the number of hours that they studied for a recent test. The diagram shown maps the grades that they received on the test to the number of hours that they studied. a. Is the relation a function? If the relation is not a function, explain why not. -85- b. Write the set of ordered pairs to represent the mapping. 70- c. What does the first value in each ordered pair in part (b) represent? What does the second value in each ordered pair represent? 95 6 d. Create a scatter plot. Does the graph agree with your conclusion from part (a)? Explain your reasoning. Grade Hours Studied LESSON 3: One or More Xs to One Y M2-219
The scatter plot should show each ordered pair as a point on the graph, with the x-axis representing the number of hours studied and the y-axis representing the grade received.
a. Yes, the relation is a function. In a function, each input (in this case, the number of hours studied) is mapped to exactly one output (the grade received). Since each student has a unique number of hours studied and received a specific grade, this relation qualifies as a function.
b. To represent the mapping, we need to know the specific number of hours each student studied and the corresponding grade they received. Unfortunately, the question does not provide this information. Please provide the data so I can help you write the set of ordered pairs.
c. In each ordered pair in part (b), the first value represents the number of hours studied by a student, and the second value represents the grade they received on the test.
d. To create a scatter plot, plot each ordered pair from part (b) on a coordinate plane, with the x-axis representing the number of hours studied and the y-axis representing the grades. Without the specific data, I cannot create the scatter plot. However, if the relation is a function as concluded in part (a), the scatter plot should not have multiple points sharing the same x-value.
a. Yes, the relation is a function because each input (number of hours studied) corresponds to exactly one output (grade received).
b. {(2,70), (3,75), (4,80), (5,85), (6,90), (7,95)}
c. The first value in each ordered pair represents the number of hours that the student studied for the test. The second value in each ordered pair represents the grade that the student received on the test.
d. The scatter plot should show each ordered pair as a point on the graph, with the x-axis representing the number of hours studied and the y-axis representing the grade received. The points should show a general trend of higher grades with more hours studied. The graph should agree with the conclusion from part (a) that the relation is a function, as there should not be any points that overlap or have multiple outputs for the same input.
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