Select the correct answer.

The parent tangent function is horizontally compressed by a factor of 1/2 and reflected over the x-axis. Which equation could represent function g

the result of this transformation?

Answers

Answer 1

Answer:

[tex]g(x) = -\frac{1}{2}\tan{x}[/tex]

Step-by-step explanation:

Tangent function:

The tangent function is:

[tex]f(x) = \tan{x}[/tex]

Horizontally compressed by a factor of 1/2

Horizontally compressing by a factor of 1/2 is multiplying by 1/2. So

[tex]g(x) = \frac{1}{2}\tan{x}[/tex]

Reflected over the x-axis.

Reflecting a function over the x-axis is the same as multiplying it by -1. Then g is given by:

[tex]g(x) = -\frac{1}{2}\tan{x}[/tex]


Related Questions

Determine whether the following event is mutually exclusive or not mutually exclusive.

Choosing a student who is a mathematics major or a business major from a nearby university to participate in a research study. (Assume that each student only has one major.)

Answers

Answer:

The event is mutually exclusive.

Step-by-step explanation:

Mutually exclusive events are events that cannot exist simultaneously.

Thus, events that are not mutually exclusive can exist simultaneously.

Since each student only has one major, a single student cannot be both a mathematics major and a business major.

So, the event is mutually exclusive.

((X + 2) + (y - 5) =1​

Answers

Answer:

on like term

Step-by-step explanation:

x+2)=(y-5)=2+5=7

x-y{x-y]=7x-y

by Emmanuel okorie

Stats question what are the main difference between frequenting and Bayesian

Answers

Answer:

The frequentist believes that probability represents long term frequencies of repeatable events (such a flipping a coin). Frequentists do not attach probabilities to hypotheses or unknown values. On the other hand, the Bayesian approach uses probabilities to represent the uncertainty in any event or hypothesis.

HOPE IT HELPS

13. The pair of figures are congruent. Find the value of e.
37°
10 ft
8 ft
53°
6 ft

Answers

Answer:

No solution is possible from the provided information

Step-by-step explanation:

please answer the question first then explain ​

Answers

Answer:

Option A.

Step-by-step explanation:

If I have two variables b and c and a constant of 10. I can write that problem like this:

10b = c

For example, my factory today will make 20 books:

10×20 = c

$ 200 = c

|-5| >3 true or false plssssss answer it’s important

Answers

Answer:

TRUE

Step-by-step explanation:

Those lines around the -5 mean the absolute value of the number, basically the value of the number without any negative signs. SO the absolute value of -5 is just 5.

5 IS GREATER than 3, so this is true

ur welcome :)

For the following right triangle find the side length x

Answers

Answer:

the answer should be 120 as the hypotenuse is obtained by √(a²+b²=c² )

Answer:

x = 17

Step-by-step explanation:

We're given a right triangle with the measures of two legs . We're also given as measures of hypotenuse as x .

We need to find x.

Using Pythagorean theorem

a ² + b ² = c²

Where, a and b is the length of measures of legs and c is the measures of hypotenuse.

Lebels the values , we get

( 15 ) ² + ( 8 )² = ( x ) ²

Expand the exponent

225 + 64 = x²

Add the numbers

289 = x²

Taking square root of both side

√289 = √x²

17 = x.

Hence, the length of side x is 17.

Find f(2) if f(x) = (x + 1).

Answers

Answer:

The awnser should be 3.

Step-by-step explanation:

if f(x) means the same thing as x + 1. Than that means f = 1. So if re write the question. 1 plus 2 equals 3.

What is the difference of the rational expressions blow 4x/9 - 2x/9

Answers

Step-by-step explanation:

answer in the photo above look

An installation technician for a specialized communication system is dispatched to a city only when 3 or more orders have been placed. Suppose the orders follow a Poisson distribution with a mean of 0.25 per week for a city with a population of 100,000 and suppose your city contains 800,000.
a. What is the probability that a technician is required after a one-week period?
b. If you are the first one in the city to place an order, what is the probability that you have to wait more than two weeks from the time you place your order until a technician is dispatched?

Answers

Answer:

0.3233

0.09

Step-by-step explanation:

Given that :

Mean, λ = 0.25 for a 100,000 per week

For a population of 800,000 :

λ = 800,000 / 100,000 * 0.25 = 8 * 0.25 = 2 orders per week

Probability that technician is required after one week ;

After one week, order is beyond 2 ; hence, order, x ≥ 3

P(x ≥ 3) = 1 - [p(x=0) + p(x= 1) + p(x =2)]

P(x ≥ 3) = 1 - e^-λ(1 + 2¹/1! + 2²/2!)

P(x ≥ 3) = 1 - e^-2(1+2+2) = 1 - e^-2*5 = 1 - e^-10

P(x ≥ 3) = 1 - e^-2 * 10

P(x ≥ 3) = 1 - 0.6766764

P(x ≥ 3) = 0.3233

B.)

Mean, λ for more than 2 weeks = 2 * 2 = 4

P(x < 2) = p(x = 0) + p(x = 1)

P(x < 2) = e^-4(0 + 4^1/1!)

P(x < 2) = e^-4(0 + 4) = e^-4(5)

P(x < 2) = e^-4(5) = 0.0183156 * 5 = 0.0915

P(x < 2) = 0.09

Write .125 as a fraction reduced to lowest terms.

Answers

Answer:

125 as a fraction is 1/8.

0.125 = 125/1000. We can reduce this to lowest terms by dividing the numerator and denominator by 125 to get the equivalent fraction 1/8.

Step-by-step explanation:

hey mate hope it cleared your problem!!

What is the slope of the line?​

Answers

Answer:

3/1

Step-by-step explanation:

Answer:

[tex]-3[/tex]

Step-by-step explanation:

The slope of the line is -3 because to get to one point from another point, you would need to go down 3 and right 1 which is -3/1, and that is also just -3

Hope this helps

Which mathematical operation changes 2amd 1/3 to 2

Answers

the addition sign thus 2+1÷3=2

Adele is 5 years older than Timothy. In three years, Timothy will be of Adele’s age. What is Adele’s current age?

Answers

Answer:

3

Step-by-step explanation:

+2

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 14 cups of​ coffee, using 204 ounces of​ coffee, while collecting a total of ​$16.70. How many cups of each size did Kyle​ fill?
Kyle filled ___ ​10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).

Answers

Answer:

Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Step-by-step explanation:

Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables a, b, and c, respectively.

Since a total of 14 cups of coffee was served:

[tex]a+b+c=14[/tex]

A total of 204 ounces of coffee was served. Therefore:

[tex]10a+14b+20c=204[/tex]

A total of $16.70 was collected. Hence:

[tex]0.95a+1.15b+1.5c=16.7[/tex]

This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.

From the first equation, let's subtract a and b from both sides:

[tex]c=14-a-b[/tex]

Substitute this into both the second and third equations:

[tex]10a+14b+20(14-a-b)=204[/tex]

And:

[tex]0.95a+1.15b+1.5(14-a-b)=16.7[/tex]

In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:

For the Second Equation:

[tex]\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}[/tex]

And for the Third:

[tex]\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}[/tex]

We can solve this using substitution. From the second equation, isolate a:

[tex]\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b[/tex]

Substitute into the third:

[tex]-0.55(7.6-0.6b)-0.35b=-4.3[/tex]

Distribute and simplify:

[tex]-4.18+0.33b-0.35b=-4.3[/tex]

Therefore:

[tex]-0.02b=-0.12\Rightarrow b=6[/tex]

Using the equation for a:

[tex]a=7.6-0.6(6)=4[/tex]

And using the equation for c:

[tex]c=14-(4)-(6)=14-10=4[/tex]

Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Find an equation for the line perpendicular to y= -4/3x+5 with​ y-intercept (0,-12). Write the answer in​ slope-intercept form

Answers

Answer:

y=3/4x−12.

Step-by-step explanation:

Slope of the perpendicular line is negative inverse: m=34.

The equation of the perpendicular line is y=3x4+a.

To find a, we use the fact that the line should pass through the given point: −12=(34)⋅(0)+a.

a=−12.

Therefore, the equation of the line is y=3x4−12.

If this helps you, please give bainliest!

An isosceles triangle has legs of length 12 and base angles that measure 28°. What is the measure of its base to the nearest tenth? Be careful on this one.

Answers

Answer:

base = 21.2

Step-by-step explanation:

Let the base be 2x

Drawing a perpendicular bisector divides the bases into 2 equal parts.

Then using trigonometric ratio :

[tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex]   , [tex][ \ where \ \theta = 28^{ \circ} , \ adjacent = x,\ hypotenuse = 12 \ ][/tex]

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the base of the isosceles triangle is 21.19 units.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

In order to solve the problem, we will draw a line between the triangle such that it will bisect the angle at the top(∠A) and the base(BC). As shown in the image below.

Now, as we know that the line(AD) is perpendicular to the base(BC) of the isosceles triangle, therefore, using the function of trigonometry in the Δ ABD we can write,

[tex]Cos \theta=\dfrac{BD}{AB}\\\\\\Cos (\angle B)=\dfrac{BD}{12}\\\\\\Cos 28^o \times 12={BD}\\\\BD = 10.5953[/tex]

Now, we know that the line BD divides the base BC into two equal parts, therefore, BD=BC.

BC = BD + DC

BC = 10.5953 +10.5953

BC = 21.19 units

Hence, the length of the base of the isosceles triangle is21.19 units.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

Translate the following sentence into an algebraic inequality: Three times a number, v, added to eight is greater than or equal to twenty-two. Question 7 options: A) 3v + 8 > 22 B) 3v + 8 ≥ 22 C) 3v + 8 ≤ 22 D) 3v + 8 < 22

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]3v + 8 \geq 22[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Breaking down the phrase...}}\\\\\text{Three times a number, v, added to eight is greater than or equal to twenty-two. }\\------------------\\\rightarrow \text{"Three times a number, v..."} - 3v \text{ This expresses the product of '3' and 'v'.}\\\\\rightarrow \text{"added to eight..."} - + 8 \text{ The product gets added to eight.}\\\\--------------\\\text{The First Part Is:}}\\\\3v + 8\\---------------\\\rightarrow \text{is greater than or equal to twenty-two. } - \geq 22[/tex]

[tex]\text{The value of '3v + 8' is greater than or equal to 22.}\\---------------\\\text{\underline{Putting it together, we would have:}}\\\\\boxed{3v + 8 \geq 22}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

HELP MEEEEEEEEEEEE please​

Answers

Answer:

X = 5

Step-by-step explanation:

Hope it's help you !!!!!!!!!

Answer:

X=5

Step-by-step explanation:

X=5

The other side is the same as X so it is 5. Also it the same as the bottom that = 5.

A knight wanted to visit a princess.
He had to arrive at exactly 17h00.
If he travelled at 15 km per hour, he would arrive one hour too early.
If he travelled at 10 km per hour, he would arrive one hour too late.
Questions : 1- At what time did he leave?
2- What distance did he travel?
3- At what speed did he travel?

Answers

Answer:

He had to arrive at 5:00pm

If he traveled at 15km per hour, he would arrive one hour too early

If he traveled at 10km per hour, he would arrive one hour too late.

At what time did he leave, what distance did he travel, and at what speed did he travel

:

Let d = distance traveled

:

Write an time equation; time = dist/speed

Travel time at 10 km/hr - travel time at 15 km/h = 2 hrs

d%2F10 - d%2F15 = 2

Multiply by 30

3d - 2d = 30(2)

d = 60 km is the distance

:

Find the travel time at 15 km/hr

60%2F15 = 4 hrs

:

let s = speed required to get there on time

:

required travel time - 15km/hr travel time = 1

60%2Fs - 4 = 1 hr

60 - 4s = 1s

60 = 1s + 4s

60 = 5s

s = 12 km/hr to arrive on time

:

Required travel time: 60%2F12 = 5 hrs

He would have to leave at noon

;

Summarize, depart at noon, travel for 5 hrs at 12 km/hr, a dist of 60 km

Step-by-step explanation:

12=x/5............................

Answers

Answer:

answer :

12 = x / 5

12 × 5 = x

60 = x

or

x = 60

Consider the function
f(x) = 327
=
As x + -00, then f(x) approaches what?
O A O
OB) 7
C) –00
C
D) 3
Ouestion 3 (1 point)

Answers

i think it’s B i will check and come back

đường cầu về tiền có hướng nghiêng dốc xuống thể hiện?

Answers

Ý bạn là sao? Bạn có thể cung cấp thêm thông tin hay hình ảnh không?

Mckenna kept track of the number of miles she rode her horse each day for 2 weeks 3.2.8, 8, 2,8, 8, 10, 4, 0, 0, 0, 0, 0, 0, 0 Part A Find the measures of center and variability that best summarize Mckenna's data. Use the dropdown menus to explain your reasoning, Choose The Choose is the best measure hours, is the best measure of center, so the Chooso... of variability LIVE Part 1 Mckenna says that she typically rides her horse for about 6 hours because the mode is 6. Is Mokenna's conclusion appropriate? Use the dropdown menus to explain your reasoning, Mckenna's conclusion Choose... accurate. The mode of her data Choose... 6 hours. However, Choose... than half of the time, she spends Choose.... than 6 hours riding her horse.

Answers

Answer: 110

Step-by-step explanation:

I did it it’s correct :)

312/132 (fraction simplified as a mixed number)

Answers

Answer:

2.3636363636 or 2 4/11

Which percentage is the best estimate for the shaded area under this normal curve?

Answers

Answer: B)  77.5%

=========================================================

Explanation:

It appears that -20 is the mean. It's not entirely clear however. If that assumption is correct, then the distance from -30 to -20 is 10 units. So the left endpoint is 1 standard deviation below the mean (because the standard deviation is 10 units).

Recall that through the empirical rule, roughly 68% of the distribution is within 1 standard deviation of the mean. This cuts in half to 34%. So the area from x = -30 to x = -20 is roughly 0.34

We'll use this value later so let A = 0.34

-------------------

The area under the curve from x = -20 to x = -10 is also 0.34

The area under the curve from x = -20 to x = 0 is 0.95/2 = 0.475

For the second part there, I'm using the idea that 95% of the normal distribution (roughly) is within 2 standard deviations of the mean.

So the area from x = -20 to x = -5 is somewhere between 0.34 and 0.475

Let B = 0.34 and C = 0.475

-------------------

The full shaded blue area is somewhere between A+B = 0.34+0.34 = 0.68 and A+C = 0.34+0.475 = 0.815

Based on that alone, the answer is between B and C.

-------------------

Unfortunately, we can't nail down an actual value unless we use a Z table or a calculator.

When I use a calculator, I'm getting 0.7745 (approximate) which rounds to 0.775 and converts to 77.5%

As for how to get this without a table or calculator, I'm not entirely sure what your teacher wanted you to do.

A bag contains 10 red marbles, 8
blue marbles and 2 yellow
marbles. What is the probability of
getting a blue marble?

Answers

the probability of it is 2/5

Which set of ordered pairs represent a function? O A {(1,0), (2,1), (2,3)} O B{(1,3), (1,4), (1,5)} O C{(1,5), (2,5), (3,5)} O D{(3, 1), (2, 2), (3, 3)}​

Answers

Answer:

C

Step-by-step explanation:

C is the only answer that doesnt share x-values

I need help ASAP!!!!

Answers

Step-by-step explanation:

Kindly find 4 attached files

The proportionality is determined by the lines that only passes through the origin

And all the lines drawn are passing through the origin

So by either one of the 2 ways

By using rule of direct variation y=kx that has no y intercept

Or by finding the equation of straight line and find the slope with neglecting the y intercept since it's 0

whats the probabily of drawing one blue marbel from a bag that contains 4 red marbels 6 green marbles and 1 white marbel and 3 blue marble

Answers

Answer: 3/14

Step-by-step explanation:

Number of red marbles = 4

Number of green marbles = 6

Number of white marbles = 1

Number of blue marbles = 3

Total number of marbles = 14

Therefore, the probability of drawing one blue marble will be:

= Number of blue marbles / Total number of marbles

= 3/14

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