Answers
Answer:
I substitued theta as A. You can write theta instead of A.
Step-by-step explanation:
f(A)= tanA+secA
or, f(A)=sinA/cosA + 1/cosA
or, f(A)=(1+sinA)/cosA
or,f(A)=(1+sinA)(1-sinA)/cosA(1-sinA)
or,f(A)=(1²-sin²A)/cosA(1-sinA)
or,f(A)=cos²A/cosA(1-sinA)
or, f(A)=cosA/(1-sinA)
or, f(A) =g(A)
f(A)=g(A) proved..
Related Questions
The area of a sector of a circle with a radius measuring 15 cm is 235.62 cm^2 . What is the measure of the central angle, to the nearest degree that forms the sector?
Answers
Answer:
120°
Step-by-step explanation:
The area of a sector of a circle is given by:
\(A = \frac{\alpha }{360} * \pi r^2\)
where α = central angle of sector in degrees
r = radius of circle.
The radius of the circle is 15 cm and the area of the sector is 235.62 cm^2. Therefore:
\(235.62 = \frac{\alpha }{360} * \pi * 15^2\\\\84823.2 = 706.86 * \alpha \\\\=> \alpha = 84823.2 / 706.86\\\\\alpha = 120^o\)
The central angle of the sector is 120°
use the binomial theorem to find the binomial expansion of the given expression. (2x-3y)^5.
show work
Answers
Answer:
(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n
The binomial expansion of (2x - 3y)^5 is:
32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5
The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.
The given expression is (2x-3y)⁵.
In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.
(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵
= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵
= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵
Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.
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In Exercise, fill in the blank(s).Two properties of logarithms are _______ = n loga u and ln(uv) = _______.
Answers
Answer:
Step-by-step explanation:
i am not sure but i think its :
n logₐ(u)
ln(uv) = ln(u) + ln(v)
What is the measure of the vertical angles?
6x - 199
3x + 32
Answers
you set them equal to each other because vertical angles are congruent.
6x-19=3x+32
Add 19 to both sides then subtract 3x from both sides
Youre left with 3x=51
divide both sides by 3 and you get 17
26b. alarm clock life hack what is the probability that both the battery-powered alarm clock and smartphone clock do not fail?
Answers
The probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
a. The probability that a single battery-powered alarm clock works successfully is 1 minus the probability that it fails.
1 - 0.005 = 0.995 or 99.5%.
b. The probability that both the battery-powered alarm clock and the smartphone alarm clock fail is the product of their individual probabilities of failure.
0.005 x 0.052 = 0.00026 or 0.026%.
The probability that both of them do not fail is the complement of the probability that they both fail
1 - 0.00026 = 0.99974 or 99.974%.
Hence, the probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%
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Explain briefly the six main criteria that can be used to define normality and abnormality, by illustrating them with one psychological "abnormality" (other than homosexuality).
What may be the values and limitations of using the medical model and classification systems (which are originated from diagnosing and treating physical illnesses) to the understanding and treating of psychological disorders?
The six criteria are:
1. Abnormality as statistical infrequency (Involves comparison with other people)
2. Abnormality as personal distress (Involves consequences of the behavior for self)
3. Abnormality as others’ distress (Involves the consequences of the behavior for others)
4. Abnormality as unexpected behavior (Involves another kind of comparison with others’ behavior)
5. Abnormality as highly consistent/inconsistent behavior (Involving making comparisons between both the actor and others, and between the actor and him/herself in different situations)
6. Abnormality as maladaptiveness or disability (Concerns about the (disabling) consequences for the actor)
Answers
The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.
1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.
2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.
For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.
3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.
For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.
4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.
For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.
5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.
For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.
6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.
The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.
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what is the solution set for the inequality 5-3k>35
Answers
Answer:
k<-10
Step-by-step explanation:
-3k+5>35
-3k+5-5>35-5
simplifica la expresión
k<-10
Please help :)
Carly worked for 5 1/4 hours and earned $46.20 How much would she earn if she worked for 6 3/4 hours? Enter your answer in the box
Answers
Answer:
Hi. The answer is $59.40
Step-by-step explanation:
Divide $46.20 into the hours she works, so 46.20/5.25 = 8.80
She earns $8.80 per hour. Multiply this by 6 3/4 hours...8.80x6.75 = $59.40
Answer:
$59.40
Step-by-step explanation:
Suppose you are interested in the determinants of college tuition prices. You collect data on a random sample of 500 colleges and universities in the U.S. in 2015. Then you estimate the following model using OLS, where tuition is measured in $1,000s: Tuition=7+4+Rank-0.20*Size+8*Private-0.4*LibArts Rank is the college's rank, ranging from 1 to 5, according to US News and World Report. Size is the number of students who attend the college, measured in 1,000s. Private is a binary variable that equals 1 if the college is private and equals 0 if the college is public. LibArts is a binary variable that equals 1 if the college is a liberal arts college and equals 0 otherwise. Standard error for betalhat=2 Standard error for betalhat=0.7 Standard error for beta2hat=0.12 Standard error for beta3hat=2 Standard error for beta4hat=0.6 R-squared=0.20 What is the predicted cost for a student who attends a private liberal arts college, which has 1,500 students, and a rank of 4.5? Suppose the student in question 1 switches from her college to a public, non-liberal arts college. Her new college has 15,000 more students than her old college, and its rank is 0.5 lower. How much money does she save in tuition?
Answers
The predicted cost for a student attending a arts college with 1,500 students and a rank of 4.5 can be calculated using the given regression model: Tuition = 7 + 4*Rank - 0.20*Size + 8*Private - 0.4*LibArts.
In this case, Rank = 4.5, Size = 1.5 (since it's measured in 1,000s), Private = 1 (since it's a private college), and LibArts = 1 (since it's a liberal arts college). Plugging these values into the model, the predicted tuition cost would be: Tuition = 7 + 4*(4.5) - 0.20*(1.5) + 8*1 - 0.4*1 = $26.1 thousand.
If the student switches from her current private liberal arts college to a public, non-liberal arts college with a rank 0.5 lower and 15,000 more students, we need to adjust the Size and Rank variables accordingly. Assuming the student's current college is still private, the new values would be Rank = 4.5 - 0.5 = 4 and Size = 1.5 + 15 = 16.5 (since it's measured in 1,000s). With the new values, we can calculate the predicted tuition cost for the public college: Tuition = 7 + 4*(4) - 0.20*(16.5) + 8*0 - 0.4*0 = $22.4 thousand.
To determine how much money the student saves in tuition, we calculate the difference between the predicted costs of the two colleges: $26.1 thousand - $22.4 thousand = $3.7 thousand. Therefore, by switching from her current private liberal arts college to a public, non-liberal arts college with a lower rank and larger size, the student saves $3.7 thousand in tuition.
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Use pascal triangle to expand and simplify (5x+4y)³
Answers
Answer:
125x³+240xy²+64y³ +300yx²
Step-by-step explanation:
Row of pascals triangle to use is 1 3 3 1
For binomial expansion, use a³ +3a²b+3ab²+b³
Una embarcación tenía 120 tripulantes al naufragar parece el 30% los sobrevivientes el 25% son casados¿ Cuántos de los sobrevivientes son solteros?
Ayudenme rápido plis
Answers
Answer:
Solteros= 27
Step-by-step explanation:
Entiendo que de los 120 tripulantes, sobrevivió el 30%. Y de los sobrevivientes, 25% son casados.
Primero, debemos calcular la cantidad de sobrevivientes:
Sobrevivientes= 120*0.3= 36
Ahora la cantidad de casados, y por diferencia los solteros:
Casados= 36*0.25= 9
Solteros= 36 - 9
Solteros= 27
Help please , I’ve been struggling on this problem for days now.
Answers
Answer:
14/25
Step-by-step explanation:
soh cah toa
toa is tan = opposite/adjacent
tan = 14/25
Answer:
14/25
Step-by-step explanation:
tan(angle) = opposite/adjacent
so tan(G) = 14/25
I hope this helps
Find the roots of each equation by factoring. x^2–4=0
Answers
The polynomial can be factored as
\(x^2-4=(x+2)(x-2)\)In fact, any polynomial of the form x^2-b^2 can be factored as
\(x^2-b^2=(x+b)(x-b)\)Back to our polynomial, we see that its zeros are
\(x=2\)and
\(x=-2\)Obtain numerical solution of the ordinary differential equation y' = 3t−10y²
with the initial condition: y(0)= −2 by Euler method using h=0.5 Perform 3 steps.
Solution of all problems MUST contain general formula and all intermediate results. Perform numerical computations using 4 digits after decimal point.
Answers
The Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.
To solve the ODE using the Euler method, we divide the interval into smaller steps and approximate the derivative with a difference quotient. Given that the step size is h = 0.5, we will perform three steps to obtain the numerical solution.
we calculate the initial condition: y(0) = -2.
1. we evaluate the derivative at t = 0 and y = -2:
y' = 3(0) - 10(-2)² = -40
Next, we update the values using the Euler method:
t₁ = 0 + 0.5 = 0.5
y₁ = -2 + (-40) * 0.5 = -22
2. y' = 3(0.5) - 10(-22)² = -14,860
Updating the values:
t₂ = 0.5 + 0.5 = 1
y₂ = -22 + (-14,860) * 0.5 = -7492
3. y' = 3(1) - 10(-7492)² ≈ -2.2395 x 10^9
Updating the values:
t₃ = 1 + 0.5 = 1.5
y₃ = -7492 + (-2.2395 x 10^9) * 0.5 = -1.1198 x 10^9
Therefore, after performing three steps of the Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.
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Which fraction is equivalent to
__
0.03
Answers
Answer:
1/33
Step-by-step explanation:
1/33 in decimal form is 0.03 repeating
In a school, 55% of the pupils are girls. Out of the girls, the ratio of ones with blonde hair to ones with brown hair is 2:3. What percentages of pupils are blonde girls?
Answers
Answer:
36.7
Step-by-step explanation:
The wholesale price for a shirt is $3.50 . A certain department store marks up the wholesale price by 90 %. Find the price of the shirt in the department store.
Answers
Answer: $6.65
Step-by-step explanation:
The price of the shirt in the department store = wholesale price + 90% of wholesale price
= 3.50 + (3.50*90)/100
= 3.50 + 3.15
= 6.65
Therefore, the price of the shirt is $6.65
Calculate the future value of a three year uneven cash flow given below, using 11% discount rate:
Year 0 Year 1 Year 2 Year 3
0 $600 $500 $400
Answers
Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.
To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;
Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴
Given the cash flows;
Year 0: $0
Year 1: $600
Year 2: $500
Year 3: $400
Then the Future value of uneven cash flow
= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³
= $600/1.11 + $500/1.23 + $400/1.36
=$540.54 + $405.28 + $293.00
=$1,238.82
Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.
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Two parallel lines are crossed by a traversal. What is the value of y?
Answers
Answer:
y = 50 is answers and it is alternate angle
Answer:
B
Step-by-step explanation:
The two angles are the same
Pls help Me its Due tonight I really struggle and have no time to do this pls help me .
Answers
The factorized polynomial 6x² + 15xy -14x -35y is given as (2x + 5y) (3x - 7)
Factorization of PolynomialsA polynomial is an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power.
To solve this problem, we simply need to factorize the polynomial given.
\(6x^2 + 15xy - 14x - 35y\)
Let's look for a common factor and factorize similar or like terms.\(6x^2 + 15xy - 14x - 35y\\(2x + 5y) (3x - 7)\)
This is the the reduced or factorized form of the given polynomial.
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This system is a flexible tool for data analysis, since its reports do not have a fixed format.
A. Management information system
B. Decision support system
C. Transaction processing system
D. Executive support system
Answers
Option - B : Decision support system is a flexible tool for data analysis, since its reports do not have a fixed format.
Decision support systems, a subset of business intelligence, are created to help organisations make sensible business decisions based on vast volumes of analysed data. Huge volumes of data are analysed using an interactive information system called a decision support system (DSS) to aid in the direction of business choices. A DSS aids management, operations, and planning levels of an organisation in making better decisions by assessing the importance of uncertainties and the tradeoffs involved in selecting one option over another. A DSS uses a variety of raw data, papers, personal knowledge, and/or business models to aid users in making decisions. A DSS may make use of relational data sources, cubes, data warehouses, electronic health records (EHRs), income projections, sales projections, and other sources.
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3. Communicate and Justify The average cost of
an entree on a restaurant menu is $15. Does this
describe the mean or median? Explain.
Answers
The average cost of an entree on a restaurant menu that is $15 describes the mean, not the median.
What is the mean?The mean is the average value of a data set.
To compute the average, the total value of the data set is divided by the number of items involved.
The average value or mean is the quotient of the total value and the number of data items.
On the other hand, the median describes the middle value of an ordered list of data values.
Thus, when an entree on a restaurant menu costs $15 on average, it is a description of the mean value and not the median.
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In a poll, students were asked to choose which of six colors was their favorite. The circle graph shows how the students answered. If 14,000 students participated in the poll, how many chose Green?
Purple
6%
Pink
10%
Red
12%
Blue
21%
Green
39%
Orange
12%
Answers
Answer:
Step-by-step explanation:
you get 5000 and divide 21and it equals 238 people
solution to 5y\9-y\9 is equal to 8\9?
Answers
Answer:
\(y = 2\)
Step-by-step explanation:
1) Simplify 5y/9 - y/9 to 4y/9.
\( \frac{4y}{9} = \frac{8}{9} \)
2) Multiply both sides by 9.
\(4y = \frac{8}{9} \times 9\)
3) Cancle 9.
\(4y = 8\)
4) Divide both sides by 4.
\(y = \frac{8}{4} \)
4) Simplify 8/4 to 2.
\(y = 2\)
Hence, the answer is y = 2.
PLS HELP ASAP WILL GIVE BRAINLEAST!!!!!!!!
Answers
Answer:
It's B
Step-by-step explanation:
Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. If it takes the hot water faucet 9 minutes to fill the tub by
itself, how long will it take the cold water faucet to fill the tub on its own?
O
Do not do any rounding.
Answers
This query relates to prices. Let's use the rate for a cold tap to represent Rc and hot water to represent Rh.
What is meant by denominator?The lowest number in a fraction, or denominator, in mathematics indicates the number of equal pieces into which an object is divided. It acts as the fraction's divisor. In this case, the denominator is 4, indicating that there are four pieces in total. When a fraction has a denominator, which is always the lowest number, we can refer to it as the fraction's divisor. The quantity into which an object is divided into equal parts is specified.Therefore,
Since R = V/t, where t is the fill-in time, determines the rate at which the volume V tab is filled. The following can be written for both of them:
Rc = V/17
Rh = V/t
Rc + Rh = V/7
where t is the time that we need to find.
V/17 + V/t = V/7
Divide both sides by V to get:
1/17 + 1/t = 1/7
Rearrange:
1/t = 1/7 - 1/17
Bring to common denominator:
1/t = (17 - 7)/(7*17) = 10/119
Take an inverse:
t = 119/10 = 11.9 minutes.
The complete question is?
Left on together, the cold and hot water faucets of a certain bathtub take 7 minutes to fill the tub. If it takes the cold water faucet 17 minutes to fill t?
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Determine the value of x
Answers
D x=4.5 degree
Step-by-step explanation:
because 90+20x=180
x=4.5
Answer:
x=4.5
Step-by-step explanation: All angles of a square add up to 90 degrees. Thus if x=90 or 20 or 45 then quotient of the angle would be greater than 90 degrees.
Does anyone think your life is a video game?
Answers
Answer:Yes!
Step-by-step explanation:
Answer:
Yes i really do because i love video games i play Roblox and that i always play and that i feel like i am in Royale High For Real
Step-by-step explanation:
Royale High is my favorite game
__x 12 = 36
__x 15 = 75
HELP ME PLEASE!!!
HELP ME PLEASE!!!
HELP ME PLEASE!!!
Answers
Answer:
first answer is 3×12=36
5×15=75
Answer:
Download the App "Photo Math"
Step-by-step explanation:
it will help you to solve all of your math problems.
Weiling took part in a Mathematics quiz which consist of 60 questions. For every correct answer, 3 marks would be awarded. For every wrong answer, 2 marks would be deducted. Weiling answered all the questions and scored a totał of 140 marks for the quiz. How many questions did she answer correctiy?
Answers
Answer:
Right answer = 52
Wrong answers = 8
Step-by-step explanation:
Every correct answer = + 3
Every wrong answer = - 2
Number of correct answers = x
Number of wrong answers = y
x + y = 60 - - - (1)
3x - 2y = 140 - - - (2)
From (1) :
x = 60 - y
Put x = 60 - y into (2)
3(60 - y) - 2y = 140
180 - 3y - 2y = 140
180 - 5y = 140
-5y = 140 - 180
-5y = - 40
y = 8
x = 60 - y
x = 60 - 8
x = 52
Right answer = 52
Wrong answers = 8