Mathematics College

Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2 ?

Answers

Answer 1
[tex]tan(4x- \pi )= \frac{sin(4x- \pi )}{cos(4x- \pi )} [/tex]

The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0

cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2

4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8

4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2

4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8

Asymptotes are π/8 and 3π/8




Answer 2

Answer:

D 3pi/8 , 5pi/8

Step-by-step explanation:

Related Questions

what two consecutive numbers the square root of 10 between

Answers

[tex]\bf \sqrt{10}\approx 3.162278 \\\\\\ \boxed{3}\text{\textemdash\textemdash\textemdash}3.162278\text{\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash}\boxed{4}[/tex]

Mike has $880 in his savings account and adds $24 per week. at the same time, leslie has $520 in his savings account and adds $36.00 per week. how long will it take leslie to have the same amount as mike?

Answers

30 weeks

880+24x=mike
520+36x=leslie

880+24x = 520+36x

360=12x
x=30 weeks

What is a point estimate of the difference between the mean annual premium in pennsylvania and the national mean (to the nearest dollar)?

Answers

Given that the mean annual premium for automobile insurance in the United States is $1503 and that a sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1440

Then the point estimate of the difference between the mean annual premium in pennsylvania and the national mean (to the nearest dollar) is $1,440 - $1,503 = -$63.
Final answer:

A point estimate is a single value used to estimate an unknown parameter. The point estimate of the difference between the mean annual premium in Pennsylvania and the national mean can be calculated by taking the difference between the two means.

Explanation:

A point estimate is a single value that is used to estimate an unknown parameter of a population. In this case, the point estimate of the difference between the mean annual premium in Pennsylvania and the national mean can be calculated by taking the difference between the two means. Let's say the mean annual premium in Pennsylvania is $1000 and the national mean is $1500. The point estimate of the difference would be $1500 - $1000 = $500.

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Ms.Smith has 132 stickers to give to her students.Shehas 5 students.If she gives the same number of stickers to each of her students how many stickers will she have leftover

Answers

If Ms. Smith hands out 130 of her stickers between all 5 of her students each will have 26. Which means she will have 2 remaining
She'll have 24.6 stickers left over because you divide the 132 stickers with the 5 students

If 3 tons of flower bed mulch cost $480, what is the price per pound?

Answers

1 ton = 2,000 pounds 
3 tons = 6,000 pounds
$480/6,000 = 0.08 
per pound is $0.08

Which expression is equivalent to 6 – (–8)?

Answers

[tex] 6 -(-8)[/tex] 

[tex]6+8 [/tex] 

[tex]=14[/tex]

The expression 6 – (–8) will be equivalent to 14.

What is an expression?

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Given the expression,

6 – (–8)

By multiplication,

Negative signs become positive

6 – (–8) = 6 + 8 = 14

Hence "The expression 6 – (–8) will be equivalent to 14.".

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Raffle tickets are being sold for a fundraiser. The function a(n) relates the amount of money raised to the number of tickets sold, n. 

It takes as input the number of tickets sold and returns as output the amount of money raised. 

a(n) = 3n – 15 

Which equation represents the inverse function n(a), which takes the money raised as input and returns the number of tickets sold as output?


Answers

Answer:

For apex it is N(a)= [tex]\frac{a+15}{3}[/tex]

Final answer:

To find the inverse function, solve the equation a = 3n - 15 for n. The inverse function is n(a) = (a + 15) / 3.

Explanation:

To find the inverse function, we need to solve the equation n(a) = 3n - 15 for n.

Step 1: Replace n(a) with a: a = 3n - 15

Step 2: Solve for n.

Add 15 to both sides of the equation.a + 15 = 3nDivide both sides of the equation by 3.(a + 15) / 3 = n

Therefore, the inverse function is n(a) = (a + 15) / 3.

Need help solving this :/

Answers

[tex]\bf \begin{array}{cccll} x&171x-337778&\textit{internet users}\\ ----&-------&------\\ 2004&171(2004)-337778&4906\\ 2005&171(2005)-337778&5077\\ 2006&171(2006)-337778&5248\\ 2007&171(2007)-337778&5419\\ 2008&171(2008)-337778&5590\\ 2009&171(2009)-337778&5761\\ 2010&171(2010)-337778&5932\\ \end{array}[/tex]

now, that's using the table of values, let's do so using N = 5932

[tex]\bf N=171x-337778\implies 5932=171x-337778 \\\\\\ 5932+337778=171x\implies 343710=171x\implies \cfrac{343710}{171}=x \\\\\\ 2010=x[/tex]

jackson made 15 calls in 20 minutes. how many calls per minute did he make

Answers

i think it's .75...:')
Hello User :)

How are you doing?
In this case, your trying to find how many calls he makes per minute. So here we go! We know he made 15 calls in 20 minutes! Therefore, we must divide to find the unit number, which basically is "Numbers Simplified." 

[tex]15 / 20=0.75[/tex]

That means he makes 0.75th of a call in 1 minute. 

Evaluate the integral. (remember to use absolute values where appropriate. use c for the constant of integration.) 2 (t + 2)(t − 6) dt

Answers

do you mean 2(t+2)(t-6) dt?
if yes then,
expanding you have
2 { t² -4t -12} dt
2 ∫ t²-4t-12 dt
2 [ t³ -4t² -12t +c]

The domain for f(x) and g(x) is the set of all real numbers. let f(x) = 3x + 5 and g(x) = x2. find g(x) − f(x). x2 − 3x − 5 3x3 − 5x2 3x2 − 5 x3 − 5

Answers

f (x)=3x+5
g (x)=x^2

g (x)-f (x)=(x^2)-(3x+5)
=x^2-3x-5

is (3,13) a solution of the equation y=4x

Answers

y=4x
13 = 4(3)
13 = 12 ...not true

answer
(3,13) is not a solution of the equation y=4x
No because 13 = 4(3) is not equal. So the answer is no.

an air traffic controller is tracking two planes. To start, playing a is at an altitude of 2814 ft and plan B is just taking off. Plan a is gaining altitude at 30.5 feet per second in playing day is gaining altitude at 80.75 feet per second. How many seconds will pass before the planes are on the same altitude

Answers

Model the altitude of each plane with a linear equation.
The initial altitude is the 'y-intercept'.
The rate of elevation is the slope.

Plane A:  y = 30.5x + 2814

Plane B:  y = 80.75x

The planes will be at same altitude when the y values are equal.
80.75x = 30.5x + 2814

Solve equation for 'x'.
80.75x - 30.5x = 2814
50.25x = 2814
x = (2814/50.25) = 56

Answer:
It will take 56 seconds before planes are at same altitude.

Answer:

56 seconds will pass.

Step-by-step explanation:

Because its right. :)

please give brainliest

the table shows the low temperature in five cities on a winter day. which statement is true

A. it is warmer in Tacoma than in Roseville

B. it is colder in Roseville Than in Helena

C. It is warmer in Helena than in Fargo

D. it is colder in Tacoma than in Great Falls

Answers

The answer to that question so D because 1.0 is the lowest tem.

Solve P=2D+2C for D

Answers

P-2c/2 = D   So, P-2c all over 2 is equal to D.

Answer: D = (P - 2C)/2

Step-by-step explanation:

We want to solve P= 2D + 2C for D

This means "isolate D in one side of the equation"

The first step is subtracting 2C in the both sides of the equation:

P - 2C = 2D + 2C - 2C = 2D

P - 2C = 2D

Now, we want to take of the multiplication that is acting on D, so we divide in both sides by 2:

(P - 2C)/2 = (2D)/2 = D

Now we have D isolated, and this is:

D = (P - 2C)/2

A company manufactures photo cells it uses the expression

Answers

What expression it’s not completed

2x + y = -2
x + y = 5
 The x-coordinate of the solution to the system shown is _____.
 -7
-3
3
7

Answers

Subtract equation (2) from equation (1)
Subtract the like terms (ie subtract straight down)

2x - x = 1x = x
y - y = 0y = 0 so the y terms go away
-2 - 5 = -7

We end up with x = -7

Answer:

-7

Step-by-step explanation:

Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?

Answers

Since the amount of money it costs for the forks are 1.70f (if f is the number of forks, due to that we add 1.70 for each fork) and the spoons is 1.30s (with s being the number of spoons), the total money spent is
1.7f+1.3s=37.9 and the total money made is
5.6f+5.4s=147.20 dollars (since forks sell for 5.6 dollars and spoons 5.4)

Multiplying the first equation by -5.4/1.3 and adding it to the second, we end up with -1.46153846154f=-10.2307692308 and by dividing both sides by -1.46153846154, we get f=7. Plugging that into 1.7f+1.3s=37.9, we get 1.7*7+1.3s=37.9. Subtracting 1.7*7 from both sides and then dividing them by 1.3, we end up with (37.9-1.7*7)/1.3=s=20

Harrison mows lawns and rakes leaves for his summer and fall weekend jobs. He gets $10 an hour to mow lawns and $8 an hour to rake leaves. If, during September, Harrison mows for m hours and rakes for 12 hours, which expression represents the amount of money he makes? Harrison mows lawns for 11 hours, so m = 11. How much money does he make in September?

Answers

total money= 10m+8(12)

Answer:

first one is    10m+8(12)  

second one is 206

Step-by-step explanation:

i took it alrr..

A miner descended 1500 feet into a mine. While in the mine, he then rose 1200 feet and then descended 850 feet. What was the miner's net gain or loss in altitude?

Answers

Call descending a negative number and rising a positive number.
Then add the numbers.

A miner descended 1500 feet into a mine.
-1500 ft

he then rose 1200 feet
+1200 ft

then descended 850 feet
-850 ft

Now add the three numbers:
-1500 ft + 1200 ft + (- 850 ft) = -1150 ft

Since the sum is a negative number, that means
he had a net loss in altitude of 1150 ft.

Solve 8d + 4d – 5d – 4 = 3d.

Answers

8d + 4d - 5d - 4 = 3d
12d - 5d - 4 = 3d
7d - 4 = 3d
7d = 3d + 4
4d = 4
d = 1
8d+4d-5d-4=3d
 7d-4=3d
 7d-3d=4
 4d=4
 d=1

A bank offers a money market account paying 4.9% interest compounded semiannually. A competing bank offers a money market account paying 4.8% interest compounded daily. Which account is the better investment?

Answers

Assume $1000 at 4.9% semi-annually = $1,049.60
Assume $1000 at 4.8% daily =  $1,049.17

Let's try a bigger number $50'000 4.9% semi-annually $52,480.01
                                           $50,000 4.8% daily =              $52,458.37
It's a wash, the question is how long will you be investing, that might make a difference. I calculated 12 Millions over 6 years and bank A would be the better choice. Semi-annual compounded at 4.9%

kayla wrote a three-digit number.the value of the digit in the hundreds place is 6 hundreds. the digit in the tens place is 3 less than the digit in the hundreds place. sum of all three digital is 12.what is kayla number?

Answers

336 is kaylas number, hope this helps
633 is the number

6 is the hundreds place
3 is the number that is 3 less than the hundreds number (6)
6+3=9
12-9=3
3 is your last digit

i hope you understood

In a steel titanium alloy, 360 grams of steel were required to make 1200 grams of the alloy. How much titanium was required to make 1600 grams of the alloy?

Answers

check mathematics app

A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?

Answers

now, a decigram is "deci" one tenth of a gram, 1/10 gram.

whilst a milligram is "milli" one thousandth of a gram, 1/1000 gram

now, the flea is 8 of those decigrams thus is 8 * (1/10) grams

the ant is 3 of those milligrams thus 3 * (1/1000) grams

let's find their difference.

[tex]\bf 8\left( \frac{1}{10} \right)\implies \cfrac{8}{10}\implies \stackrel{decigrams}{\cfrac{4}{5}} \\\\\\ 3\left( \frac{1}{1000} \right)\implies \stackrel{milligrams}{\cfrac{3}{1000}}\\\\ -------------------------------\\\\ \cfrac{4}{5}-\cfrac{3}{1000}\impliedby \textit{our LCD is 1000}\implies \cfrac{(200\cdot 4)-3}{1000}\implies \cfrac{800-3}{1000} \\\\\\ \cfrac{797}{1000}\implies 797\left( \frac{1}{1000} \right)\implies 797~milligrams[/tex]

Answer:

797 milligrams

Step-by-step explanation:

Hope this helps!

Lisa drew a picture of a boat. She used the scale 1 inch: 6.5 feet the boat in her picture is 7:25 inches long. What is the length, in feet of the actual boat?

Answers

Okay. So, using the scale, we can solve for the length of the actual boat by writing and solving a proportion. Let’s write it out like this: 1/6.5 = 7.5/x. This is because you’re looking for the real length of the boat, so the x would be lined up horizontally with 6.5, as shown in the proportion. Let’s cross multiply. 6.5 * 7.5 is 48.75. 1 * x is 1x. 48.75 = 1x. Now, let’s divide each side by 1 to isolate the “x”. When you do that, you get x = 48.75. There. The length of the actual boat is 48.75 feet.
you can write this as a proportion  1 inch is to 6.5 feet as 7.25 in is to X               1/6.5 = 7.25/X                     7.25 times 6.5 = X           X = 47.125 feet

Hello Brainly,
Please send the details for the area of each shape.
Sincerely,
Leanoriaia

Answers

This type of problems are solved by partitioning the figure into rectangles, whose areas we can find easily.

Picture 1)

From the point denoted by E, draw two altitudes towards the sides AG and AC.

Since ED is 3, then BC is 3. Thus, AB=4-3=1. 

Since EF is 1, then HG is 1, so AH=3-1=2.


The area of the figure is equal to the area of rectangle ACDH + the area of the square HEFG.

That is, the area of the figure is 4*2+1*1=8+1=9 (square in).

Picture 2)

As in the first part, draw the altitudes EB and EH from point E.

GF is 5, so AB is 5. This means that BC=7-5=2 (in).

FE is 3, so GH is 3, that is HA=6-3=3.

Thus, Area(figure)=Area(ABFG)+Area(BCDE)=5*6+2*3=30+6=36 (square in.)

Answer: 9 (square in); 36 (square in.)

Which equation has the same solution as 4-2(x-5)-x-19

Answers

i believe the equation with the same solution is -3x-5

The equation 3x - 4 = 2x + 7 has the same solution as 4 - 2(x - 5) = x - 19, with both solutions yielding x = 11.

Let's solve the equation step-by-step: 4 - 2(x - 5) = x - 19

First, expand the left side:
4 - 2x + 10 = x - 19Combine like terms:
14 - 2x = x - 19Move all terms involving x to one side:
14 = 3x - 19Move constant terms to the other side:
33 = 3xSolve for x:
x = 11

Now, let's compare this solution to other given equations:

2(x + 5) = -8
2x + 10 = -8
2x = -18
x = -9 (Not a match)3(x - 3) = 9
3x - 9 = 9
3x = 18
x = 6 (Not a match)x + 2 = 2x - 3
2 = x - 3
x = 5 (Not a match)3x - 4 = 2x + 7
3x - 2x = 7 + 4
x = 11 (Match)

The equation with the same solution as 4 - 2(x - 5) = x - 19 is 3x - 4 = 2x + 7.

Complete question: Which equation has the same solution as 4 - 2(x - 5) = x - 19?

2(x + 5) = -83(x - 3) = 9x + 2 = 2x - 33x - 4 = 2x + 7

Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect? Explain your answer. 40 POINTS

Answers

3x + 1 = y

x: 1 | 2 | 3  |
------|---|--- |----------------
y: 4 | 7 | 10|

so make points at (1,4) (2,7) and (3,10), and connect them to get the line

4x + 1

x: 1 | 2 | 3
----------------
y: 5 | 9 | 13

Make points at (1,5) (2,9) and (3,13)

IF they do not intersect yet, continue making points until they intersect. Make note of the point in which they intersect, and that is your answer

hope this helps

What is the probability that the selected consumer is 35–55 years old or likes crunchicles?

Answers

Final answer:

The probability that a selected consumer is 35–55 years old or likes crunchicles is 0.5.

Explanation:

To determine the probability that the selected consumer is 35–55 years old or likes crunchicles, we need to add the probabilities of these two events happening individually and subtract the probability of both events happening. Let's assume the probability of a randomly selected consumer being 35–55 years old is 0.4 and the probability of a randomly selected consumer liking crunchicles is 0.3. The probability of a randomly selected consumer being both 35–55 years old and liking crunchicles is 0.2. Therefore, the probability that the selected consumer is 35–55 years old or likes crunchicles is:

P(35-55 or crunchicles) = P(35-55) + P(crunchicles) - P(35-55 and crunchicles)

= 0.4 + 0.3 - 0.2 = 0.5

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