Precalculus I don't know how to do this
Answers
Answer:
\(\Large\bold\red{Precalculus}\)
Precalculus is a field of atudy which basically includes in maths.Also, it is a course from where you can learn Algebra and trigonometry in easy,intermediate and hard levels.
\(\huge\bold\red{Formula}\)
Now, talking about the formula, some examples are given below that may help you.....
\(example \\ \\ f \: cosa + ad(a) \\ \\ = f \: cosa + ad(a) = f \: cosada + f \: ad(a) \\ = sina + \frac{ {x}^{2} }{2} + c\)
If you can't see, scroll right to left side then you can see full solution.
You need to understand the solution and practice in integration.
\(\Large\textsf{Hope \: It \: Helped}\)
Answer:
\(\large{\sf{\underline{\underline{\purple{Answer :}}}}}\)
Precalculus :
↝ Precalculus mathematics is mathematics that gives background for the mathematical concepts, problems, issues and techniques that appear in the calculus course.
↝ Precalculus is a continuation of previous foundations from Algebra 1. Geometry, and Algebra 2. Students use functions, equations, and limits to express generalizations and to analyze and understand a broad variety of mathematical relationships.
\(\rule{200}2\)
Some Precalculus Formula :
Some of the important precalculus formulas which I know are given below:
\(\red\star\) Complex Numbers
➝ (a + ib) + (c + id) = (a + c) + i(b + d)➝ (a + ib) - (c + id) = (a - c) + i(b - d)➝ (a + ib) × (a - ib) = a² + b²\(\pink\star\) Polynomials
➛ (a + b)² = a² + 2ab + b²➛ (a - b)² = a² - 2ab+ b²➛ (a + b)(a - b)= a² - b²➛ (a+b+c)² =a²+b²+c²+2ab+2bc+2ac➛ (a-b)³ = a³-b³-3ab(a-b)➛ (a³+b³) = (a+b)(a²-ab+b²)➛ a²+b² = (a+b)²-2ab➛ (a³-b³) = (a-b)(a²+ab +b²)\(\blue\star\) Trigonometry
➝ Pythagoras Theorem: Hypotenuse² = Perpendicular² + Base²➝ sin θ = 1 / cosecθ (OR) cosec θ = 1 / sinθ➝ cos θ = 1 / secθ (OR) sec θ = 1 / cosθ➝ tan θ = 1 / cotθ (OR) cot θ = 1 / tanθ➝ sin (A - B) = sin A cos B - cos A sin B➝ cos (A + B) = cos A cos B - sin A sin B➝ cos 2θ = 1 - 2 sin2θ\(\purple\star\) Functions
➠ aᵐ× aⁿ = aᵐ+ⁿ ➠ (ab)ˣ = aˣ bˣ➠ (aˣ)ʸ = aˣʸ\(\rule{300}{1.5}\)
Related Questions
(NEED ANSWER TODAY!) The dimensions of this figure are changed so that the new surface area is exactly 1/3 what it was originally.What is the new surface area?Enter your answer as a decimal in the box.
Answers
ANSWER: 202.46 if you need all the question answers just ask :D
find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. round the z-score to the nearest tenth if necessary. a time for the 100 meter sprint of 19.8 seconds at a school where the mean time for the 100 meter sprint is 17.5 seconds and the standard deviation is 2.1 seconds. select the correct option: 1.1; not unusual 2.3; unusual 1.1; unusual -1.1; not unusual
Answers
the z-score corresponding to the given value is approximately 1.1. Based on the given criterion, the value of 19.8 seconds is not considered unusual.
The z-score corresponding to the given value of 19.8 seconds can be calculated using the formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. In this case, the mean time for the 100 meter sprint is 17.5 seconds and the standard deviation is 2.1 seconds.
Substituting the values into the formula, we get: z = (19.8 - 17.5) / 2.1 = 2.2 / 2.1 ≈ 1.05.
Rounding the z-score to the nearest tenth, we have a z-score of approximately 1.1.
According to the given criterion, a score is considered unusual if its z-score is less than -2.00 or greater than 2.00. In this case, the z-score of 1.1 falls within the range of -2.00 to 2.00, so the value of 19.8 seconds is not considered unusual.
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I need a bit of help please
Answers
Answer:
x < 5/6 or x > 7/6
Step-by-step explanation:
\( \frac{6}{5} x + 5 < 6\)
\( \frac{6}{5} x < 1\)
\(x < \frac{5}{6} \)
\(x - \frac{1}{6} \geqslant 1\)
\(x \geqslant \frac{7}{6} \)
x < 5/6 or x > 7/6
a football team gained 6 yards on a play, on the next play they lost 9 yards. what is the net yardage for the team
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A football team gained 6 yards on a play, on the next play they lost 9 yards. -9 is the net yardage for the team
In two subsequent plays, the team lost yardage. The term "lost" usually implies a negative number. To find the total yards lost we must add the losses: (-3)+(-6)=? Remember that adding a negative is the same thing as subtracting that number:
(-3)+(-6)
(-3)-(6)
= -9.
*Remember that when you add two negative numbers together, you simply add the numbers and then put a negative sign in front of them.
Therefore, the total change in yardage in the two plays combined is -9 yards.
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Kamal, Kamala, Krishna invert a sum of RS= 30,000 on a business in the ratio 2 : 3 : 5. Find the each of their investment.
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\(\\ \rm\Rrightarrow 2x+3x+5x=30000\)
\(\\ \rm\Rrightarrow 10x=30000\)
\(\\ \rm\Rrightarrow x=3000\)
2x=60003x=90005x=15000Which image shows a translation?
А
B
с
Answers
Answer:
I'm pretty sure it's A :)
arctan(4/3) in terms of pi
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The expression for arctan(4/3) in terms of π is a tan(4/3) / π.
To express arc tan(4/3) in terms of π, we can use the relationship between the trigonometric functions and the unit circle.
The tangent function (tan) is defined as the ratio of the length of the side opposite an angle to the length of the adjacent side in a right triangle. The inverse tangent function, arctan, gives the angle whose tangent is a given value.
In this case, arctan(4/3) represents the angle whose tangent is 4/3. To express this angle in terms of π, we can consider the unit circle.
For arctan(4/3), we can construct a right triangle in the unit circle with the opposite side equal to 4 and the adjacent side equal to 3.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse:
hypotenuse² = opposite² + adjacent²
hypotenuse² = 4² + 3²
hypotenuse²= 16 + 9
hypotenuse²= 25
hypotenuse = 5
Now, let's denote the angle whose tangent is 4/3 as θ. In the right triangle we constructed, the sine of the angle θ is given by opposite/hypotenuse, which is 4/5, and the cosine of the angle θ is given by adjacent/hypotenuse, which is 3/5.
Since the sine is positive and the cosine is positive in the first quadrant of the unit circle, we can conclude that arctan(4/3) corresponds to an angle in the first quadrant.
Therefore, arctan(4/3) can be expressed as:
arctan(4/3) = θ
Since θ corresponds to an angle in the first quadrant, we can write:
arctan(4/3) = θ = tan(4/3)
Note that a tan(4/3) is an angle measure in radians. To express it in terms of π, we need to divide atan(4/3) by π:
arctan(4/3) = θ = tan(4/3) / π
So, the expression for arctan(4/3) in terms of π is a tan(4/3) / π.
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Solve for x. Thank you
Answers
Answer:
The sum of interior angles in a triangle is 180°.
So we just have to add Al the angles and equate them to 189°
Step-by-step explanation:
\(70 + 65 + x + 35 = 180 \\ 135 + 35 + x = 180 \\ 170 + x = 180 \\ x = 180 - 170 \\ x = 10\)
Step-by-step explanation:
please mark me as brainlest and follow me
Find the union and the intersection of the given intervals I₁=(-2,2]; I₂=[1,5) Find the union of the given intervals. Select the correct choice below and, if necessary, fill in any answer boxes within your choice A. I₁ UI₂=(-2,5) (Type your answer in interval notation.) B. I₁ UI₂ = ø Find the intersection of the given intervals Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. I₁ ∩I₂ (Type your answer in interval notation) B. I₁ ∩I₂ = ø
Answers
To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.
The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:
I₁ U I₂ = (-2, 2] U [1, 5)
To find the union, we combine the intervals while considering their overlapping points:
I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)
So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).
Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:
I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)
To find the intersection, we consider the overlapping range between the two intervals:
I₁ ∩ I₂ = [1, 2]
Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].
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john is making a poster for safety awareness week. His poster has 2 sides of equal length. Which math words and numbers are important in this problem
Answers
Answer:
2 sides of equal length meaning the poster is a rectangle
You are interested in exploring the relationship between hours studying and test grades. which of these statements would be her null hypothesis?
a. There is no relation between hours studying and grades on a test. b. There is a relation between hours studying and grades on a test.
c. There is no relation between hours studying and grades on a test.
d.The more hours one studies, the higher their grades will be.
e. None of the above.
Answers
There is no relation between hours studying and grades on a test. this statements would be her null hypothesis .
What is the definition of a null hypothesis?
The null hypothesis presupposes that any variation between the selected attributes you observe in a set of data is the result of chance.
For instance, if the predicted profits from the gambling game genuinely equal zero, then any discrepancy between the data's average profits and zero results from chance.
The null hypothesis doesn't exist.
A null hypothesis may declare, for instance, that the population mean return is equal to zero. The null hypothesis is typically an equality hypothesis for population parameters.
It might be said that the alternative hypothesis is the exact opposite of a null hypothesis (e.g., the population mean return is not equal to zero).
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Consider the following vectors in component form
a = LeftAngleBracket 2, 10 RightAngleBracket. B = LeftAngleBracket negative 5, negative 12 RightAngleBracket. C = a minus b.
NEED HELP ASAP
What is the magnitude and direction angle of vector c?
|c| = 5, θ = 36.9°
|c| = 5, θ = 53.1°
|c| = 25, θ = 16.3°
|c| = 25, θ = 73.7°
Answers
Answer:
D
Step-by-step explanation:
The magnitude is 25 and the direction angle of vector c is 73.7°. Option D is correct.
Given, a=⟨2,10⟩, b=⟨-5,-14⟩, c=a-b
We need to find what is the magnitude and direction angle of vector c.
What is the magnitude and direction angle?Given a position vector v=⟨a,b⟩, the magnitude is found by |v|=√a²+b². The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tanθ=(ba)⇒θ=\(tan^{-1}\)(ba).
Now, vector c=⟨7,24⟩|c|=\(\sqrt{7^{2} +24^{2} }\)=25angle =tan(θ)=(168)⇒θ=\(tan^{-1}\)(168)= 73.7°.
Hence, the magnitude is 25 and the direction angle of vector c is 73.7°.
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rewrite 17/20 and 13/15 so that they have a common denominator.
Answers
Answer:
51/60, 52/60
Step-by-step explanation:
20 and 15 are 5×2×2 and 5×3. The smallest common denominator would be 5×2×2×3=60.
Malia baked 15 cookies with 3 scoops of flour. With 8 scoops of flour, how many cookies can Malia bake? Solve using unit rates.
Answers
Answer:
40 Cookie
Step-by-step explanation:
15 divided by 3 is 5 so per every one scoop of flour its 5 cookies so multiply 8 by 5 and you would get 40 cookies
Laurie is running in a 5,000-meter race. A kilometer equals about 0.625 mile. About how
many miles long is the race?
Answers
Answer:
3.125 miles
Step-by-step explanation:
5 × 0.625 = 3.125 miles
if Mr. Davis ate 20 of the 50 chocolate chip cookies from the bag,what percent of the bag of cookies did he eat?
Answers
Answer:
He ate 40% of it
Step-by-step explanation:
20/50 is 2/5, which is basically 4/10 therefore equaling 40%
consider an undirected graph that has 100 vertices. for any pair of vertices, only 1 edge can connect them. in other words, you cannot have 2 edges connecting vertex a directly to vertex b. also assume that there are no self-loops, i.e. an edge that goes from vertex a to vertex a. what is the maximum number of edges that can be in this specific graph?
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So the maximum number of edges in an undirected graph with 100 vertices is 4950.
In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.
In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:
n * (n-1) / 2
Substituting n = 100, we get:
100 * 99 / 2 = 4950
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On a piece of paper, graph y<-2/5x+1 then determine which answer choice matches the graph you drew
Answers
Answer:
graph B just took the test
Step-by-step explanation:
Answer:
B is correct
Step-by-step explanation:
Give two other names for PS
Answers
Answer:
it's c
Step-by-step explanation:
The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS. Then the correct option is D.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. In daily speech, a line segment with two points designating its endpoints is also referred to as a line.
The line is shown below.
The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS.
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3 How is the value of 2 - 3 like the value of 3 - 2? How is it different? -
Answers
Answer:
They are not diffrent at all. may look diffrent from the question but lets look a little closer!
Step-by-step explanation:
2-3=1 and 3-2=1 both answers look the same because the equion is Both 3s in 3-2 and 2-3 looks no diffrent. To be honest one is only backwords from the other one! But remeber to think BIG and look at those diffrentses.
Please help me
I such at geometry
Answers
Simplify. 24 7/12 - 4 3/8
20 4/4
20 5/24
20 4/96
5/24
Answers
Answer:
20 5/24
Step-by-step explanation:
The domain is a group working on a project at a company. One of the members of the group is named Sam. Define the following predicates.
P(x, y): x knows y's phone number. (A person may or may not know their own phone number.)
D(x): x missed the deadline.
N(x): x is a new employee.
Give a logical expression for each of the following sentences.
a. There is at least one new employee who missed the deadline.
b. Sam knows the phone number of everyone who missed the deadline.
c. There is a new employee who knows everyone's phone number.
d. Exactly one new employee missed the deadline.
Answers
The logical expression based on the information will be:
a. ∃x (N(x) ∧ D(x))
b. ∀y (D(y) → P(Sam, y))
c. ∃x (N(x) ∧ ∀y P(x, y))
d. ∃x (N(x) ∧ D(x) ∧ ∀y (N(y) ∧ D(y)) → x = y)
How to explain the expressionIt should be noted that ∃x (N(x) ∧ D(x)) states that there exists at least one person (denoted by x) who is a new employee (N(x)) and also missed the deadline (D(x)). In other words, there is at least one new employee who missed the deadline.
∀y (D(y) → P(Sam, y)): This expression states that for every person (denoted by y) who missed the deadline (D(y)), Sam knows their phone number (P(Sam, y)). In other words, Sam knows the phone number of everyone who missed the deadline.
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For the polynomial function find the following: (i) Degree of the polynomial; (ii) All intercepts; (iii) The intercept.
y = x^2 + 169
Degree of a Polynomial:
When our polynomial is written in expanded form, we can determine its degree by stating the highest exponent on our variable. If our polynomial is factored, the degree is instead equal to the sum of the number of factors, though if any factor is taken to an exponent, we count that factor as many times as indicated by the value of the exponent.
Answers
(i) The highest exponent on the variable x is 2. Therefore, the degree of the polynomial is 2. (ii) There are no x-intercepts for this polynomial. (iii) Since there are no x-intercepts, there is no intercept to be determined for this polynomial.
For the polynomial function \(y = x^2 + 169\):
(i) Degree of the polynomial:
The highest exponent on the variable x is 2. Therefore, the degree of the polynomial is 2.
(ii) All intercepts:
To find the intercepts, we set y = 0 and solve for x.
When y = 0:
\(x^2 + 169 = 0\)
This equation has no real solutions because the term x^2 is always non-negative, and adding 169 to it will result in a positive value. Therefore, there are no x-intercepts for this polynomial.
(iii) The intercept:
Since there are no x-intercepts, there is no intercept to be determined for this polynomial.
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Find the value of x
Answers
Answer:
x = 19
Step-by-step explanation:
A triangle is always 180 degrees
180 = (3x - 14) + (-18 + 3x) + (4 + 2x)
then do simple algebra
180 = (8x - 28)
-28 - 28
152 = 8x
152 / 8 = 19
x = 19
I insist its B, however D is the teachers answer. What is the answer.
Answers
Considering the roots of function f(x), the correct statement is given by:
D. f has exactly two zeros of [0,4].
What are the roots of a function?The roots of a function are the values of x for which f(x) = 0.
In this problem, we have that:
f(2) = 0, hence x = 2 is a root.f(3) < 0 and f(4) > 0, meaning that between x = 3 and x = 4, there is a root of a function, as to go from negative to positive, it has to pass through f(x) = 0.For values of x less than 2 on the interval, the function is never negative nor zero, hence there are no roots in that interval and option D is correct.
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For a company picnic, Kira ordered a box of fresh-baked gingerbread cookies and sugar cookies. The box included a total of 40 cookies, and 45% of them were gingerbread. How many gingerbread cookies did Kira get?
Answers
Answer:
She ate 18 cookies
Step-by-step explanation:
If you multiply your percent which is 45% by 40 you will get your answer
0.45x40=18
Given h(x) = -5x - 5, solve for x when h(x) =0
Answers
h(x)= -5(0)-5
h(x)= -5
HELP PLS I WILL GIVE YOU 70 POINTS PLS
f (x) = cos (pi/2 x)
Answers
Answer:
\( \mathcal{BE \: BRAINLY} \)\( \boxed{75 : 100 }$$$$ \)Savitribai Phule (3 January 1831 – 10 March 1897),https://thereconpilot.github.io/picture-environment-latex/\( \mathcal{BE \: BRAINLY} \)\( \mathbb{} \)\( \boxed
When drawing a histogram, which is a good number of categories to include on your x axis?
Answers
Usually, six to twelve equally wide categories are a decent number to use when trying to understand how the data is distributed for drawing a histogram.
One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution.
A histogram is a graphic representation of data that uses bars of various heights. Each bar in a histogram divides numbers into ranges. More data falls inside that range, as shown by taller bars. The form and distribution of continuous sample data are shown in a histogram.
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