Answer:
Cosθ
Step-by-step explanation:
Given the trigonometry identity:
tan θ cot θ = 1, to transform this identity, we need to write in terms of sinθ and cosθ as shown;
In trig:
tanθ = sinθ/cosθ
cotθ = 1/tanθ
1/tanθ = 1/(sinθ/cosθ)
1/tanθ = cosθ/sinθ
Hence cotθ = cosθ/sinθ
Substitute the expression for tanθ and cotθ into the expression in question
tan θ cot θ = 1
sinθ/cosθ*cosθ/sinθ = 1
Comparing the gotten expression with
sin θ/cos θ * blank/sin θ = 1 we can dee that the blank is cosθ
Hence the correct answer is cosθ
The identity which should be filled into the blank is cos θ.
Trigonometric identities;From trigonometric identities; we know;
tan θ = sin θ/cos θ cot θ = cos θ/sin θ .Ultimately, sin θ/cos θ × cos θ/sin θ = 1.
Therefore, the missing identity is cos θ.
Read more on trigonometric identities;
https://brainly.com/question/7331447
There are 100 students at a school and three dormitories A, B, and C with capacities of 25, 35, and 40, respectively.
Required:
a. How many ways are there to fill up the dormitories?
b. Suppose that, of the 100 students, 50 are men and 50 arewomen and that A is an all-men's dorm, B is an all-women's dorm andC is co-ed. How many ways are there to fill thedormitories?
Answer:
a
[tex]N = 7.0 *10^{44} \ Ways [/tex]
b
[tex]U = 2.85 *10^{26}\ ways [/tex]
Step-by-step explanation:
From the question we are told that
The number of students are n = 100
The number of dormitories is k = 3
The capacity of the first dormitory is A = 25
The capacity of the second dormitory is B = 35
The capacity of the third dormitory is c = 40
Generally the number of way to fill the dormitory up is mathematically represented as
[tex]N = \frac{n!}{A! B!C!}[/tex]
=> [tex]N = \frac{100!}{25! 35! 40!}[/tex]
Here ! stands for factorial, so we will be making use of the factorial functionality in our calculators to evaluated the above equation
=> [tex]N = \frac{100!}{25! 35! 40!}[/tex]
[tex]N = \frac{9.332622* 10^{157}}{[1.551121* 10^{25}]* [1.0333148* 10^{40}] * [8.1591528*10^{47}]}[/tex]
[tex]N = 7.0 *10^{44} \ Ways [/tex]
From the question we are told that there are 50 men and 50 women and
A is all-men's dorm and B is all-women's dorm while C is co-ed
So
When A is filled , the number of men that will be remaining to fill dorm C is 50-25 = 25
While when B is filled the number of women that will be remaining to fill dorm C is 50-35 = 15
Generally the number of ways there to fill the dormitories is equivalent to the number of ways of selecting the 25 men and 35 women to fill dormitory A and B plus one more way which is filling dorm C with the remaining students this is mathematically represented as
[tex]U = ^{50}C_{35} * ^{50}C_{25} + 1[/tex]
Here C stands for combination hence we will be making use of the combination functionality in our calculators
[tex]U = 2.250829575* ^{12} * 1.264106064 * 10^{14} + 1[/tex]
=> [tex]U = 2.85 *10^{26}\ ways [/tex]
Find the perimeter of the figure if the following
is true:
a = x2
b = 4x + 8
c = 2x²
d = x
Order the fractions 1/2, -2/3, -3/8 0 from least to greatest
Answer:
-2/3, -3/8, 0, 1/2
Step-by-step explanation:
Say that Malaysia has a workforce of 11,071,016, with an average yearly salary of (equivalent US dollars) $15,196. How much more revenue will the Malaysian government gather if it sets the income tax at 17% than if it sets the income tax at 8%, to the nearest million dollars? a. $21,059 million b. $16,824 million c. $15,141 million d. $13,459 million
Answer:
c. $15,141 million
Step-by-step explanation:
Population = 11,071,016
Average salary = $15,196
Tax rate 1 = 17%
Tax rate 2 = 8%
Revenue from tax :
Tax rate * average salary * population
To obtain the revenue difference :
(11,071,016 × $15196 × 17%) − (8% × $15196 × 11,071,016)
= $15,141,164,322.24
Answer:
c.
$15,141 million
Step-by-step explanation:
Graph the parabola.
y = 3x + 6x-3
Answer:
15
Step-by-step explanation:
What is the solution to this equation?
10x- 15x+ 5 = -45 + 20
O A. x = 4
B. X= -6
C. x=-4
O D. x = 6
Step-by-step explanation:
[tex]10x - 15x + 5 = - 45 + 20 \\ or \: 10x - 15x = - 45 + 20 - 5 \\ or \: - 5x = - 45 + 15 \\ or \: - 5x = - 30 \\ or \: \frac{ - 5x}{ - 5} = \frac{ - 30}{ - 5} \\ or \: x = 6 \\ \\ therefore \: the \: value \: of \: x \: is \: 6.[/tex]
D. The value of X is 6. I hopes it helps you ☺️.......Thank you ☺️
Consider the following cost function.
A. Find the average cost and marginal cost functions.
B. Determine the average and marginal cost when x = a.
C. Interpret the values obtained in part (b).
C(x) = 1000 + 0.1x, 0 ≤ x ≤ 50000 ≤ x ≤ 5000, a = 2000
Answer:
a)Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]
Marginal cost function =[tex]C'x=0.1[/tex]
b) [tex]\bar{C(2000)}=0.6[/tex]
[tex]C'(2000)=0.1[/tex]
c)[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items
C'(2000)=0.1 is the marginal cost to produce 2001 th item
Step-by-step explanation:
Cost function: [tex]C(x) = 1000 + 0.1x[/tex]
a)Find the average cost and marginal cost functions.
Average cost function =[tex]\bar{C(x)}=\frac{C(x)}{x}[/tex]
Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]
Marginal cost function =[tex]C'x=0.1[/tex]
b) Determine the average and marginal cost when x = a.
a = 2000
Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}=\frac{1000+0.1a}{a}=\frac{1000+0.1(2000)}{2000}=0.6[/tex]
So, [tex]\bar{C(2000)}=0.6[/tex]
Marginal cost function =[tex]C'(2000)=0.1[/tex]
c)Interpret the values obtained in part (b).
[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items
C'(2000)=0.1 is the marginal cost to produce 2001 th item
Consider these three numbers written in scientific notation.
1.67
9.7
4.5
Which shows the numbers in order from least to greatest?
A. 1.67 , 9.7 , 4.5
B. 4.5 , 9.7 , 1.67
C. 1.67 , 4.5 , 9.7
D. 9.7 , 4.5 , 1.67
The correct order from least to greatest is:
9.7 x 10^-6.1.67 x 10^4.4.5 x 10^9.What is scientific notation?Scientific notation is a system that simplifies very big or small numbers by using 10^... In this case, the number multiplied by the power of 10 indicates the number of 0 or digits before the period (.) in case the number is negative or after the period (.) in case, the number is a positive integer.
Numbers in scientific notation to standard form:
To understand which number is the smallest/greatest let's convert these numbers to regular notation:
1.67 x 10^4 = 167009.7 x 10^-6 = 0.00000974.5 x 10^9 = 4500000000Based on this, the correct order is:
9.7 x 10^-6.1.67 x 10^4.4.5 x 10^9.Note: This question is incomplete because the complete numbers are not provided. Here is the missing section.
Consider these three numbers written in scientific notation.
1.67 x 10^4
9.7 x 10^-6
4.5 x 10^9
Learn more about numbers in: https://brainly.com/question/17429689
Answer:A. 115
B. 200
C. 11,500
D. 20,000
Step-by-step explanation:
for a review, help would be appreciated (:
Answer:
Blurry as'.'s picture I cant see nothin
Step-by-step explanation:
Suppose that a sample of n students at the same university (instead of n) determines that % of the sample use the web browser. At the level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of %?
Complete Question
The worldwide market share for a web browser was 20.5% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser.
At the 0.05 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5%?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.205[/tex]
The sample size is n = 200
The number that uses the browser is k = 50
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{50}{200}[/tex]
=> [tex]\^ p = 0.250[/tex]
The null hypothesis is [tex]H_o : p = 0.205[/tex]
The alternative hypothesis is [tex]H_a : p > 0.205[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \^ p - p }{ \sqrt{ \frac{ p (1 - p )}{ n} } }[/tex]
=> [tex]z = \frac{ 0.250 - 0.205 }{ \sqrt{ \frac{ 0.205 (1 - 0.205 )}{ 200} } }[/tex]
=> [tex]z = 1.5764[/tex]
Generally the area under [tex]z = 1.5764[/tex] to the right is
[tex]p-value = P( Z > 1.5764 ) = 0.057467[/tex]
From the value we obtained we can see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
What is the answer for 8
Answer:
no they share the same y value for two different x values
I’ll mark brainliest tysm
-13 EX: 2(-4) - 5 = -8 -5 = -13
-7
-1
1
3
THESE ARE THE ANSWERS
For statistical tests of significance about the coefficients, the null hypothesis is that the slope is 1. True False
The function that represents the amount of caffeine in milligrams remaining
Answer:
Step-by-step explanation:
The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.
Answer:
If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:
A(t) = c×e^(dt)
where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)
I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.
This relationship solving for the remaining miligrams can be given by:
A(t) = 190 mg × e ^ (-.36t)
Where t is the amount of hours.
What is the relationship between the 5’s in 345,502
Jeff places a pineapple with mass of 890g on a balance scale. He balances the scale by placing 2 oranges, an apple and lemon on other side. Each orange weighs 280g. The lemon weighs 195g less than each orange. What is the mass of the apple?
Answer:
bnbvmnbnjnmbkjbvkjhbjn
Step-by-step explanation:
lnjkkllknnhljknk
Martha earns $24 in four hours. How much would she
earn in 10 hours?
Answer:
$60
Step-by-step explanation:
24/4=6
6*10=60
Answer:
$60
Step-by-step explanation:
24 ÷ 4 = 6
6 × 10 = 24
she makes $6 an hour. $60 in ten hours.
Divide. −24/7 Enter your answer as a mixed number, in simplified form, in the box.
Answer:
-3 3/7
Step-by-step explanation:
When you divide, you get this answer. You then later add the negative sign.
Find the missing angles.
Answer:
150
Step-by-step explanation:
i’ll mark brainlest to whoever answers first :D
Answer:
10
The slope is 10 cuz rise/run rise is 10 run is 1. so 10÷1=10
Answer:
The answer is 7.2
Solve the following expression when a=5
4^2+5a-2a
Answer: 31 i think
Step-by-step explanation:
what is the value of x (3x-3) 6(x-10)
Answer:
x = 21
Step-by-step explanation:
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used, x ?
Answer: 3cups
Step-by-step explanation:
List all of the solutions.
3cups = 48 = y = cups = x =
Answer:
3cups
Step-by-step explanation:
NOT TRYING TO RUSH YOU OR ANYTHING BUT CAN YOU PLEASE HURRY UP AND HELP ME!!
Answer: A.
Step-by-step explanation:
marina wants to make 6 dozen cookies for the school bake sale. how much milk and mix does she need?
Number of cookies: 24
amount of mix: 2 1/2
amount of milk: 1 1/4
2.549 miles can be rounded to 3 miles and 2.5 miles.Explain how its true.
Answer:
If you round 2.549 miles to 3, you are rounding it to the nearest ones place(whole number). 2.549 rounded to the nearest tenth, however, is 2.5 because 2.549 is being rounded to the tenth decimal place.
Step-by-step explanation:
Answer:
You can either round it up to the tenths place or you can use the tenths place to round the 2 up to 3.
mary is twice as old as ayana.ayana is five years younger than jaime.jaime is 12 years old. how old is mary?
Answer:
14
Step-by-step explanation
We should work backwards here. Jamie is 12, and ayana is five years younger than jamie. This means that ayana is 7 years old. Mary is twice as old as the 7 year old ayana, which means that Mary is 14 years old.
Answer:
Mary is 14
Step-by-step explanation:
if jaime is 12 and ayana is 5 years younger then that equals to 7. and 7x2=14
Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, what is their total score?
Answer:
8 - 2i
Step-by-step explanation:
Just add the real parts together and then add the imaginary parts together
5 + 3 = 8
-4i + 2i = -2i
8 - 2i
Answer:
8-2i
Step-by-step explanation:
Austin is paid a salary of $350 weekly. Find the Austin's earnings per year.
Answer:
$18234
Step-by-step explanation:
Round 5.951 to the place value of the underlined digit ( underlined digit is 9)
6.0
6.9
5.95
5.9
Answer:
A.) 6.0
Step-by-step explanation:
I dont explain very well, but..
if the next number is above or it is 5, then u round up
