Answer:
Quadrant IV (4)
Step-by-step explanation:
I did the test and the other person was wrong.
The quadrant in which angle theta lie if csc theta < 0 and cot theta < 0 exists Quadrant IV (4).
What is meant by Trigonometric Identities?Trigonometric Identities are equality conditions that hold for all possible values of the variables in the equation and use trigonometry functions. There exists numerous unique trigonometric identities that relate a triangle's side length and angle.
Sine, cosine, and tangent are the fundamental three operations in trigonometry. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical notions exists built.
Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These exists identities that, geometrically speaking, involve certain functions of one or more angles.
The quadrant in which angle theta lie if csc theta < 0 and cot theta < 0 exists Quadrant IV (4).
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Which is NOT true?
A
10 + 9 = 7 + 12
B.
10 = 10
c
10 - 4 = 3 + 3
D.
10 = 19 - 11
Answer:
D
Step-by-step explanation:
BECAUSE 19-11 ISNT 10
Answer:
D. 10= 19-11
Step-by-step explanation:
A. 10+9=19 and 7+12= 19
B. 10=10
C. 10- 4 = 6 and 3+3=6
D.19-11=8 not 10
show that 3x4 1 is o(x4∕2) and x4∕2 is o(3x4 1).
3\(x^4\) + 1 is equivalent to \(x^{(4/2)}\) in terms of asymptotic growth rate. The value of 3\(x^4\) + 1 is O(\(x^{(4/2)}\)) and \(x^{(4/2)}\) is O(3\(x^4\) + 1).
To show that 3\(x^4\) + 1 is O(\(x^{(4/2)}\)), we need to find a constant C and a value of x such that:
|3\(x^4\) + 1| <= C|\(x^{(4/2)}\)|
For x >= 1, we can say that:
3\(x^4\) + 1 <= 4\(x^4\)
Taking the square root of both sides, we get:
sqrt(3\(x^4\) + 1) <= 2x²
Thus, we can choose C = 2 and x0 = 1, and we have:
|3\(x^4\) + 1| <= 2|\(x^{(4/2)}\)| for all x >= 1
Therefore, 3\(x^4\) + 1 is O(\(x^{(4/2)}\)).
To show that \(x^{(4/2)}\) is O(3\(x^4\) + 1), we need to find a constant C and a value of x such that:
|\(x^{(4/2)}\)| <= C|3\(x^4\) + 1|
For x >= 1, we can say that:
\(x^{(4/2)}\) <= x²
Thus, we can choose C = 1 and x0 = 1, and we have:
|\(x^{(4/2)}\)| <= |3\(x^4\) + 1| for all x >= 1
Therefore, \(x^{(4/2)}\) is O(3\(x^4\) + 1).
Since both 3\(x^4\) + 1 is O(\(x^{(4/2)}\)) and \(x^{(4/2)}\) is O(3\(x^4\) + 1).
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use the alternating series test, if applicable, to determine the convergence or divergence of the series. [infinity] n = 7 (−1)nn n − 6
To apply the Alternating Series Test, we need to check two conditions:
The terms of the series must alternate in sign.
The absolute values of the terms must decrease as n increases.
Let's analyze the given series: ∑ (-1)^n (n - 6) from n = 7 to infinity.
Alternating Signs: The series has alternating signs because of the (-1)^n term. When n is even, (-1)^n becomes positive, and when n is odd, (-1)^n becomes negative.
Decreasing Absolute Values: Let's examine the absolute values of the terms: |(-1)^n (n - 6)| = |n - 6|.
As n increases, the absolute value |n - 6| also increases. Therefore, the absolute values of the terms do not decrease.
Since the terms do not meet the decreasing absolute values condition, we cannot conclude convergence or divergence using the Alternating Series Test. The Alternating Series Test does not apply in this case.
To determine the convergence or divergence of the series, we need to use other convergence tests, such as the Ratio Test or the Comparison Test.
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Help please!!!!!!!!!
Answer:
a=8
b=⅛
c= 2.6
d= 0.26
that's all the answers
Find x, photo above.
Answer:
x=15
Step-by-step explanation:
Since the little square next to A has been cut in half we know that 3x = 1/2 of 90:
3x=45
Divide both sides by 3:
3x÷3=45÷3
x=15
Solve the inequality.
6x + 10 + 10x < 4(4x + 3)
Answer:
X = all #'s
why?
6x+10+10x < 4(4x+3)
Combined liked terms
16x + 10 < 16x +12
you can see that there is X on both sides and the lowest one has a +10 and the highest has a +12 so it will always be greater by 2
Answer:
undeterminate (all real numbers are a solution)
Step-by-step explanation:
1) multiply 4 by 4x and 3
6x + 10 + 10x < 16x + 12
2) added up the terms with x
16x + 10 < 16x + 12
3) add at the two members -16x
10 < 12
4) notice the 10 is ever < 12, so the inhequality is undetermined
you have $2.30 and would like to buy some rice flour. if a pound costs $4, how many ounces can you buy?
You have $2.30 and would like to buy some rice flour buy 9.2 ounces of rice flour with $2.30.
To arrive at this answer, we need to first convert the price per pound to price per ounce. There are 16 ounces in a pound, so the price per ounce is $4/16 = $0.25 per ounce.
Next, we divide the amount of money you have ($2.30) by the price per ounce ($0.25).
$2.30/$0.25 = 9.2 ounces.
Therefore, the conclusion is that you can buy 9.2 ounces of rice flour with $2.30.
Hi! I'm happy to help you with your question.
You can buy 9.2 ounces of rice flour.
1. First, we need to find out how many dollars you have per ounce of rice flour: $4 per pound / 16 ounces per pound = $0.25 per ounce.
2. Next, we'll determine how many ounces of rice flour you can buy with $2.30: $2.30 / $0.25 per ounce = 9.2 ounces.
With $2.30, you can buy 9.2 ounces of rice flour at the given price of $4 per pound.
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a 6-foot man is running away from the base of a streetlight that is feet high. if he moves at the rate of feet per second, how fast is the length of his shadow changing?
As per the unitary method, the length of his shadow changing is 30 feet.
The term unitary method is known as a process of finding the value of a single unit, and based on this value.
Here we have given that a 6-foot man is running away from the base of a streetlight that is feet high.
Then let us consider that the man be x feet away from the street light and his shadow length be y,
Here we have also consider that let the tip of the shadow be l feet away from the light is written as
=> l = x + y
Here we are given that,
=> dx/dt=2
Then as per the concept of similar triangles, we can write it as,
=> x/5 = 6x+6/31
=> 31x = 30x + 30
=> x = 30
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you only get one birthday present from your parents. initially, you thought it was twice as likely that your parents would give you a phone for your birthday rather than something else. then you see the gift-wrapped box, which resembles a cell-phone box in size and shape. the probability of the box looking like this if it were a phone, you decide, is 90 percent, whereas the probability of it looking this way if it were not a phone is 30 percent. updating on this new evidence, what are the odds that you got a phone?
If probability of box looking like it were a phone, is 90%, and probability of it looking if it were not a phone is 30%, then the odds that you got a phone is 6:1 or 86%.
The Bayes' Theorem is used to describe the relationship between conditional probabilities of two events.
To find the odd that you got the phone, we use Bayes’ theorem;
⇒ P(A|B) = P(B|A) × P(A)/P(B)
Where A = event that you got a phone, B = event that the box looks like a cell-phone box.
We are given that, P(A) = 2/3 and P(not A) = 1/3 (since there are only two possible outcomes).
We also know that P(B|A) = 0.9 and P(B|not A) = 0.3;
By using Bayes theorem,
We get,
⇒ P(A|B) = P(B|A) × P(A)/(P(B|A) × P(A) + P(B|not A) × P(not A))
⇒ [0.9 × (2/3)]/(0.9 × (2/3) + 0.3 × (1/3))
⇒ 6/7
Therefore, the odds that you got a phone are 6:1.
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how to solve step by step 4(x-7)=-6x+12
Answer:
x = 3
Step-by-step explanation:
4 ( x - 7 ) = -6x + 12
→ Expand brackets
4x - 28 = -6x + 12
→ Add 6x to both sides
10x - 28 = 12
→ Add 28 to both sides
10x = 30
→ Divide both sides by 10
x = 3
-3x + 4y = -15 and 4x - y = -19
Answer:
x=-7, y=-9. (-7, -9).
Step-by-step explanation:
-3x+4y=-15
4x-y=-19
---------------
y=4x-(-19)
y=4x+19
-3x+4(4x+19)=-15
-3x+16x+76=-15
13x=-15-76
13x=-91
x=-91/13
x=-7
4(-7)-y=-19
-28-y=-19
y=-28-(-19)
y=-28+19
y=-9
A robot begins moving on a linear path at (2,5). When it reaches (6,6), the robot turns 90° Counterclockwise and continues to move linearly. After the tum, what is the y-coordinate of the robot's position when its x-coordinate is 3?
The y-coordinate of the robot's position is equal to 18.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of the linear path (line 1);
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (6 - 5)/(6 - 2)
Slope (m) = 1/4
Since the robot turns 90° Counterclockwise and continues to move linearly, we know a perpendicular would be formed;
m₁ × m₂ = -1
1/4 × m₂ = -1
m₂ = -4
Slope, m₂ = -4
At data point (6, 6) and a slope of -4, the y-coordinate of the robot's position can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 6 = -4(x - 6)
y = -4x + 24 + 6
y = -4x + 30
y = -4(3) + 30
y = 18
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Help me with this, it’s due in a bit!
Answer:
64 square centimeters
Step-by-step explanation:
The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.
Finding the triangular face:
Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)
12 * 4 (4 sides) = 48 square cm
Finding the Base = \(w * l = 4 * 4 = 16\)
Finally, we add it together. 48 + 16 = 64
Find the derivative of each function. a. f(x) = x²ln (-3x² + 7x) b. f(x) = e¹⁻²ˣ
The derivative of f(x) = x²ln(-3x² + 7x) is 2xln(-3x² + 7x) - (3x^4 - 7x³ + 6x²)/(3x² - 7x). For f(x) = e^(1-2x), the derivative is -2e^(1-2x).
In the first function, we used the product rule to differentiate the product of x² and ln(-3x² + 7x).
Then, applying the chain rule to the second term, we found the derivative of the logarithm expression. Simplifying the expression gave us the final derivative.
For the second function, we used the chain rule by letting u = 1-2x. This transformed the function into e^u, and we differentiated it by multiplying the derivative of u (which is -2) with e^u.
The result was -2e^(1-2x).
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Which is the best estimate?
need help solving a practice question
look at the step by step explanation.
Step-by-step explanation:
Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.
Answer:
Complicated answer.
Step-by-step explanation:
So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.
1. The perimeter is actually 24
2. The side lengths are actually 4
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On a number line, suppose the coordinate of A is 0 and AR=21. What are the possible coordinates of the midpoint of AR?
Answer:
The possible coordinates of the midpoint are -10.5 and 10.5
Step-by-step explanation:
The given parameters are;
The coordinate of A = 0
The distance from A to R which is the same as AR = 21
Given that R is on the number line, we have;
When R is on the left side of A, which is = 0 - 21 = -21, we have;
The coordinates of the midpoint, M from -21 to 0 is given as follows;
M = (A + R)/2 = (0 - 21)/2 = -10.5
When R is on the right side of A, which is = 21 - 0 = 21, we have;
The coordinates of the midpoint, M from 21 to 0 is given as follows;
M = (A + R)/2 = (0 + 21)/2 = 10.5
Therefore, the possible coordinates of the midpoint are -10.5 and 10.5.
select the slope of the line that joins the pair of points. a. (9, 10) and (7, 2) 1 of 5. 4 b. (-8, -11) and (-1, -5) 2 of 5. select choice c. (5, -6) and (2, 3) 3 of 5. select choice d. (6, 3) and (5, -1) 4 of 5. select choice e. (4, 7) and (6, 2) 5 of 5. select choice
The required slopes are:
(a) slope = 4
(b) slope = 6/7
(c) slope = -3
(d) slope = 4
(e) slope = -5/2
We know that,
When a line passing through (x₁, y₁) and (x₂, y₂)
Then the slope of the line be,
slope (m) = (y₂ - y₁) / (x₂ - x₁)
Using this formula, calculate the slope for each given points
a. (9, 10) and (7, 2)
⇒ slope (m) = (2 - 10) / (7 - 9)
= -8/-2 = 4
So, the slope is 4.
b. (-8, -11) and (-1, -5)
⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))
= 6/7
So, the slope is 6/7.
c. (5, -6) and (2, 3)
⇒ slope (m) = (3 - (-6)) / (2 - 5)
= 9/-3
= -3
So, the slope is -3.
d. (6, 3) and (5, -1)
⇒ slope (m) = (-1 - 3) / (5 - 6)
= -4/-1
= 4
So, the slope is 4.
e. (4, 7) and (6, 2)
⇒ slope (m) = (2 - 7) / (6 - 4)
= -5/2
So, the slope is -5/2.
Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.
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What is the percent of change from 92 to 108?
Round to the nearest percent.
The percentage change from 92 to 108 is 13.4% approx
What is Percentage?
A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. The term per cent refers to one hundred percent.
Solution:
Percentage = Change / Original * 100
Change = 108 - 92 = 16
Original/Initial Value = 92
Percentage Change = 16/92 * 100 = 17.39% = 17.4% (approx)
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Evaluate and interpret the condition numbers for f(x) = sinx / 1+cosx for x=1.0001π
The condition numbers for f(x) = sin(x) / (1 + cos(x)) evaluated at x = 1.0001π indicate the sensitivity of the function's output to changes in the input.
In the first paragraph, we summarize that we will evaluate and interpret the condition numbers for the function f(x) = sin(x) / (1 + cos(x)) at x = 1.0001π. The condition numbers provide insight into how sensitive the function's output is to changes in the input.
To calculate the condition numbers, we first find the derivative of f(x) with respect to x, which is [(cos(x)(1 + cos(x))) - sin(x)(-sin(x))] / (1 + cos(x))^2. Evaluating this derivative at x = 1.0001π gives us the slope of the tangent line at that point.
Next, we calculate the absolute value of the product of the derivative and the input value (|f'(x) * x|) at x = 1.0001π. This represents the absolute change in the output of the function due to small changes in the input.
Finally, we divide |f'(x) * x| by |f(x)| to obtain the condition number, which provides a measure of the relative sensitivity of the function. A larger condition number indicates a higher sensitivity to changes in the input.
Interpreting the condition number can be done by comparing it to a threshold. If the condition number is close to 1, the function is considered well-conditioned and changes in the input have minimal impact on the output. However, if the condition number is significantly larger than 1, the function is considered ill-conditioned, and small changes in the input can lead to large changes in the output.
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What is the value of the question in the photo- I will give brainless to the first person to answer or the most accurate/ make sense.
Answer:
I am unable to see the photo
Step-by-step explanation:
Can you tell me the question?
Solve and then graph each solution on a number line.
52 = 12 + 4w
The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports an equal number of students. What is the minimum number of students that could attend the school
Answer:
240 students
Step-by-step explanation:
Least common multiple:To find the minimum number of students, we have to find the LCM of 10, 12, 16
10 = 2 * 5
12 = 2 * 2 * 3
16 = 2 * 2 * 2 * 2
LCM = 2 * 2 * 2 * 2 * 3 * 5
= 240
I really need help i have asked a lot and i will give thanks and brainlyest i am just so stuck
Answer:
27864000
Step-by-step explanation:
Do 8.1*10^4 * 3.44*10^2
Please help.
Graph RST with vertices R(4,1), S(7,3), and T(6, 4) and its image after the glide reflection.
Translation: (x,y) →(x, y-1)
Reflection: in the y -axis.
Answer:
Points R(4,1) S(7,3) T(6,4) after translation
R(4-3, 1) S(7-3, 3) T(6-3, 4)
R'(1, 1) S'(4, 3) T'(3, 4)
Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection
R''(1, -3) S''(4, -5) T''(3, -6)
Step-by-step explanation:
Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...
construct an appropriate triangle to find the missing values. (0° ≤ θ ≤ 90°, 0 ≤ θ ≤ π/2)
To find missing values in a triangle with angles between 0° and 90° (or 0 and π/2 radians), an appropriate triangle can be constructed based on the given information. Trigonometric relationships can then be applied to determine the missing values.
In a triangle with angles between 0° and 90° (or 0 and π/2 radians), we can construct an appropriate triangle by considering the information provided. The specific construction depends on the given values or missing values that need to be determined.
For example, if we are given the lengths of two sides of a right triangle, we can construct the triangle by drawing a base representing one side and constructing a perpendicular line segment representing the other side. The angle between these sides would be 90°, forming a right triangle.
Once the triangle is constructed, we can use trigonometric relationships such as sine, cosine, or tangent to find missing values. For instance, if we know the length of one side and the measure of one angle, we can use the sine or cosine function to find the lengths of other sides or angles.
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Rewrite as a simplified fraction:
1.323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323(infinite 32323)
Answer:
the answer is 1 & 32/99 (131/99)
to define a default field value, add the attribute ____.
To define a default field value in a form or a database, you can use the attribute "default". When you add the "default" attribute to a field, it will automatically assign the specified value to that field if no other value is provided by the user or system.
This can be particularly useful when designing forms or databases that require certain fields to have a value even when the user does not provide one.
For example, in a web form, you might have a "Country" field that requires users to select their country from a dropdown list. By setting a default value for this field, such as "United States," the system ensures that there is always a value associated with that field even if the user does not make a selection.
Similarly, in a database schema, you might have a "DateCreated" field that automatically assigns the current date and time as the default value. This ensures that the date and time are always recorded for each new entry, even if the user does not manually input a value.
In both cases, the "default" attribute allows you to streamline the data collection process and ensure that your forms and databases maintain consistent and complete data. Using default values can also improve the user experience by reducing the amount of input required, making it easier for users to complete forms and submit their data.
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Solve the following multi-step equations and write the answers on the solutions column. If the answer is correct, it will turn green and part of the picture will appear
Answer: for the first question it is 4
Step-by-step explanation:
5x -3x= 15-7
2x=8
2x/2x 8/2
x=4
Answer:
\(10x + 17 - 5x = 27 \\ 10x - 5x = 27 - 17 \\ 5x = 10 \\ x = \frac{10}{5} \\ x = 2 \)
How do you find the hypotenuse of a 45-45-90 triangle if you know the length of the legs?
The length of the hypotenuse of a 45-45-90 triangle is √2x units.
To find the hypotenuse of a 45-45-90 triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse).
Let's denote the length of each leg of the triangle as "x". Since the triangle is isosceles, both legs are of equal length. Therefore, we can write:
Leg 1 = Leg 2 = x
To find the length of the hypotenuse (which we'll call "h"), we can use the Pythagorean theorem as follows:
x² + x² = h²
Simplifying this equation, we get:
2x² = h²
To solve for h, we need to take the square root of both sides of the equation:
√(2x²) = √(h²)
√2 * x = h
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