Answers
Answer:
8. ☐ A Up
☑ B Down 1
☑ C Left [tex]\displaystyle \frac{\pi}{2}[/tex]
☐ D Right
7. [tex]\displaystyle 3\pi[/tex]
6. ☑ A x = −2π
☐ B x = −π
☐ C x = [tex]\displaystyle \frac{\pi}{2}[/tex]
☑ D x = π
5. [tex]\displaystyle y = -1[/tex]
Explanation:
[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ \boxed{y = tan\:(\frac{1}{3}x + \frac{\pi}{6}) - 1} \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{6}}{\frac{1}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{\pi}{\frac{1}{3}} \\ Amplitude \hookrightarrow N/A[/tex]
Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Second, to find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, on a universal scale of [tex]\displaystyle \frac{\pi}{4}[/tex] with a range of [tex]\displaystyle -2\pi\:to\:2\pi,[/tex] the vertical asymptotes are [tex]\displaystyle -2\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{3\pi} = \pi + 2\pi.[/tex] So, the period of this function is [tex]\displaystyle 3\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = -1.[/tex]
Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.
I am delighted to assist you at any time.
Related Questions
A particular brand of milk is sold in 1L and 2L bottles. If the shop owner orders 120L of milk and receives 97 bottles in total, calculate how many of each size the shop owner receives.
Answers
Answer:
74 1L bottles and 23 2L bottles
Step-by-step explanation:
We can use algebra to figure out the answer
let the 1L bottles be called m and the 2L bottles be called n
We know that:
(1) m+n = 97
and
(2) m+2n(2L bottles) = 120L
(2) - (1)
m+2n-m-n = 120-97
n = 23
and so
m = 74
Therefore, The shop owner receives 74 1L bottles and 23 2L bottles
log(12), round to the nearest thousandths?
Answers
Answer:
1.079.
Step-by-step explanation:
Use ur calculator.
How to find the absolute value of |2x+3|=13
Answers
Answer:
x=5 or x = -8
Step-by-step explanation:
|2x+3|=13
There are two solutions to this problem, one positive and one negative
2x+3 =13 and 2x+3 = -13
Subtract 3 from all sides
2x+3-3 = 13-3 2x+3-3 = -13-3
2x = 10 2x = -16
Divide each side by 2
2x/2=10/2 2x/2 = -16/2
x = 5 x = -8
Solve the following complex equation
18+22i=3x-2yi
Answers
Answer:
[tex]this \: a \: complex \: equation \: so \: compare \\ \: real \: term \: and \: imaginary \: term \\ so \\ 18 = 3x \: \: and \: 22i = - 2yi \\ x = \frac{18}{3} \: \: \: \: and \: y = \frac{22i}{ - 2i} \\ x = 6 \: \: \: y = - 11 \\ then \: 6 \times 3 - - 2 \times 11i \\ = 18 + 22i \\ thank \: you[/tex]
how do you find x the problem is 9x = -22
Answers
Answer:
x = -22/9 or, x = -2.44 in decimal form
Step-by-step explanation:
9x = -22
/9 /9 (divide both sides by 9)
-------------
x = -22/9 (when converted to decimal form, you get x = -2.44)
Which graph shows the function f(x) = x with an input of f(x – 3)?
Answers
A person sent 213 copies of a junk mail via email. Each email consisted of 2 bytes of data. How many bytes of data were sent altogether? Express the answer in exponential notation.
Answers
Step-by-step explanation:
a person sent 213 copies of junk via email
each email consisted of 2 bytes
then 213×2=426
Find the approximate side length of a square game board with an area of 132 in?
(Round to the nearest inch as needed)
Please explain to me how you got the answer cuz I want to learn!!
Answers
Explanation:
Find side of square:
Side = sqrt(Area)
Side = sqrt(132)
Side = 11.48
Side = 11 (Round down)
Solve 1/x = 1/a + 1/b find x
Answers
Answer:
[tex]x=\frac{ab}{a+b}[/tex]
Step-by-step explanation:
Combine the two fractions on the right by using the common denominator ab.
[tex]\frac{1}{x}=\frac{b}{ab}+\frac{a}{ab}\\=\frac{b+a}{ab}[/tex]
If two quantities are equal, then their reciprocals are equal.
[tex]x=\frac{ab}{b+a}[/tex]
Answer:
x = [tex]\frac{ab}{b+a}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{x}[/tex] = [tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex]
Multiply through by abx ( the LCM of denominators ) to clear the fractions
ab = bx + ax ← factor out x from each term on the left side
ab = x(b + a) ← divide both sides by (b + a)
[tex]\frac{ab}{b+a}[/tex] = x
A movie with an aspect ratio of 1.85:1 is shown as a letterboxed image on a newer 50-inch 16:9 television. Calculate the height of the image, the height of each barely visible black bar at the top and bottom of the screen, and the percent of the screen’s area that is occupied by the image. Use a variety of representations to justify your response.
Answers
The aspect ratio of a Television is the ratio of the width to the height of the television.
The height of image on the 50-inch television is 24.48 inchesThe height of each black bar is 23.52 inchesThe percentage of the screen area occupied is 96.08%The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the new 50-inch 16:9 TV is x.
The ratio is represented as:
[tex]Width : Height = 16 : 9[/tex]
Using Pythagoras theorem, we have:
[tex](16x)^2 + (9x)^2 = 50^2[/tex]
[tex]256x^2 + 81x^2 = 2500[/tex]
[tex]337x^2 = 2500[/tex]
Divide both sides by 337
[tex]x^2 = 7.42[/tex]
Take square roots of both sides
[tex]x = \sqrt{7.42[/tex]
[tex]x = 2.72[/tex]
So, the width of the image is:
[tex]Width = 16x[/tex]
[tex]Width = 16 \times 2.72[/tex]
[tex]Width = 43.52[/tex]
The height of the image is then calculated as:
[tex]Height = 9x[/tex]
[tex]Height = 9 \times 2.72[/tex]
[tex]Height = 24.48[/tex]
The height of the image is 24.48 inches
The height of each black bar is calculated as follows:
[tex]Width : Height = 1.85 : 1[/tex]
Express as fraction
[tex]\frac{Height}{Width}= \frac{1}{1.85}[/tex]
Make Height the subject
[tex]Height = \frac{1}{1.85}\times Width[/tex]
Substitute [tex]Width = 43.52[/tex]
[tex]Height = \frac{1}{1.85}\times 43.52[/tex]
[tex]Height = 23.52[/tex]
The height of each black bar is 23.52 inches
Lastly, the percentage of the screen’s area that is occupied by the image
First, we calculate the area of the bars
[tex]A_1 = Height \times Width[/tex]
Where:
[tex]Height = 23.52[/tex] and [tex]Width = 43.52[/tex]
So:
[tex]A_1 = 23.52 \times 43.52[/tex]
[tex]A_1 = 1023.59[/tex]
Next, calculate the area of the 50-inch TV
[tex]A_2 = Height \times Width[/tex]
Where
[tex]Width = 43.52[/tex] and [tex]Height = 24.48[/tex]
So:
[tex]A_2 = 24.48 \times 43.52[/tex]
[tex]A_2 = 1065.37[/tex]
So, the percentage occupied on the screen area is:
[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex]
[tex]\% Screen = \frac{1023.59}{1065.37} \times 100\%[/tex]
[tex]\% Screen = \frac{102359}{1065.37} \%[/tex]
[tex]\% Screen = 96.08 \%[/tex]
Hence, the percentage of the screen area occupied is 96.08%
Read more about aspect ratios at:
https://brainly.com/question/17231027
What is the sum of a rational number but a product of an irrational one.
Answers
I'm going to only focus on part B
If 'a' and 'b' are rational numbers, then
a = p/qb = r/swhere p,q,r,s are integers. Also, q and s are nonzero. In fact, this context would make sense to also have p and r to be nonzero as well.
The perimeter of this rectangle is
P = 2*(length+width)
P = 2*(a+b)
P = 2*(p/q + r/s)
P = 2*(ps/qs + qr/qs)
P = 2*( (ps+qr)/qs )
P = (2ps+2qr)/qs
P = integer/integer = some rational number
We see that the perimeter P is rational if and only if 'a' and 'b' are rational.
From this, notice that the area is
area = length*width = a*b = (p/q)*(r/s) = (pr)/(qs)
Showing that the area is also rational.
If we wanted the area to be irrational, then we'd have to have either 'a' and/or 'b' irrational; this would then make the perimeter irrational as well. This contradiction is sufficient to show that case B is not possible.
There is no way to have a rational perimeter but an irrational area.
Plz help!! Math isn’t my thing. I’ll give brainliest.
Answers
Answer:
Here is your answer
Hope it helps
Answer:
(2,-6)
Step-by-step explanation:
it is above in the photo.
3a + 2b = 17, b = 4a - 30
Answers
1) (3x-5)^2
2) (3xy-1/3)^2
Answers
1)
=(3x)² - 2 × 3x × 5+5²
=3²x²2 × 3x × 5+5²
=9x² -2 × 3x × 5 + 5²
=9x² -2 x 3x x 5 + 25
=9x²30x + 25
make sense of this. PLSSSS 15 POINTSSSSS
Answers
==================================================
Explanation:
The volume is 296 cm^3 and the height of the box is 8 cm
The area of the top is 296/8 = 37 cm^2. I'm using the idea that
volume of box = (area of base)*(height)
--------------------
The area of the top is 37 cm^2. Apply the square root to get sqrt(37) = 6.08276 cm which is the approximate length of each side along the top. This only works if the top is a square.
Multiply this by 4 to get 4*6.08276 = 24.33104
The perimeter along the top is roughly 24.33 cm
--------------------
The next task we have to do is convert from inches to centimeters
Multiply by 2.54 to do this.
24 & 1/4 inches = 24 + 1/4 = 24 + 0.25 = 24.25 inches
24.25 * 2.54 = 61.595 cm
The measurement 24 & 1/4 inches converts to about 61.595 cm
This means Adam has about 61.595 cm of ribbon
--------------------
To recap, we found these two facts:
The perimeter of the top is about 24.33 cmAdam has roughly 61.595 cm of ribbonSince the amount he has (61.595) exceeds the perimeter (24.33), this means he does have enough ribbon.
In fact, he has enough ribbon to do 2 boxes because 61.595/24.33 = 2.53 approximately and that rounds down to 2. We don't round to 3 even though we're closer to it.
Find the perimeter. Simplify your answer.
W+1
w+1
W+1
W+1
Answers
w + 1 + w + 1 + w + 1 + w + 1 =
= w + w + w + w + 1 + 1 + 1 + 1 = 4w + 4 ← the end
what is -2 1/3 - (-5)=
Answers
Answer:
[tex] \frac{8}{3} [/tex]
Step-by-step explanation:
[tex] - 2 \frac{1}{3} - ( - 5)[/tex]
convert mixed fraction into improper fraction.
[tex] - \frac{7}{3} + ( - 5)[/tex]
calculate the sum of the fraction:
[tex] \frac{8}{3} [/tex]
a + 1 = 3000
a = ?
This is my first question, I know the answer. I just wanna test the platform.
Answers
Answer:
2999
Step-by-step explanation:
a + 1 = 3000
=> Subtracting 1 from both sides,
=> a + 1 - 1 = 3000 - 1
=> a = 2999
If S is directly proportional to t squared and s= 8 when t= 4 find the value of s when t= 3
Answers
Answer:9/2
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
k=8÷16=0.5
s=0.5×3=1.5
Help please. Domain ASAP
Answers
Answer:
x ≥ -1
Step-by-step explanation:
The domain is all the possible x-values of the function.
Reading from left to right, the first x-value is x = -1 (which is included because the dot is filled in.) From there, the graph goes to the right, towards infinity.
So x is greater than or equal to -1.
x ≥ -1
let the dimensions of a rectangle be (4*(871209)^(5)+3*49762105) ft. by (7*(871209)^(3))-(49762105) ft. determine the area of the rectangle
Answers
Answer:
Area = Approximately 9.293 x [tex]10^{48}[/tex]
I AM SO CONFUSED HELP PLS
Answers
Answer:
x goes up 1 and f(x) is subtracting 3
least commom multiple of 2 and 4?
Answers
Answer:
4
BRAINLIEST, PLEASE!
Step-by-step explanation:
Multiples of 2: 2, 4, 6, 8, 10
Multiples of 4: 4, 8, 12, 16, 20
Please help I’ll mark brainlist
Answers
Answer:
⚪ 4: three right triangles and one acute-angled triangle.
Step-by-step explanation:
[tex].[/tex]
In the following statement, change the percent to a reduced fraction. Then diagram the statement and answer the questions.
Twenty-five percent of three dozen plants are blooming.
a. What fraction of the total number of plants are not blooming?
b. How many plants are not blooming?
Answers
Answer:
a. 3/4 b. 27
Step-by-step explanation:
We know 25% percent are blooming, since 100-25 = 75, 75% aren't blooming.
Since 1 / 4 = 0.25, 3/4 = 0.75, so for question a. 3/4 of the plants aren't blooming.
For question b, we know there are three dozen plants, which is 3 * 12 = 36 plants.
75% of 36 = 36 * 0.75 = 27 plants aren't blooming.
Find the perimeter in units of a polygon with the given vertices (4,-3),(7,10)(-8,2)
Answers
Answer:
take the length of each side, and multiply it by the number of sides I'm not sure why you have coordinates
Step-by-step explanation:
If ∠AOB, ∠BOC, and ∠COD are supplementary angles, then what is the value of x and m∠COD?
A.
x = 20; m∠COD = 50°
B.
x = 20; m∠COD = 70°
C.
x = 50; m∠COD = 20°
D.
x = 30; m∠COD = 80°
Answers
Answer:
B
Step-by-step explanation:
x=180-90-20-50=20
m∠COD=20+50=70
Answer:
B
Step-by-step explanation:
∠ AOB + ∠ BOC + ∠ COD = 180° ( AOD is a straight line ) , then
20 + 90 + x + 50 = 180 , that is
x + 160 = 180 ( subtract 160 from both sides )
x = 20
Then
∠ COD = x + 50 = 20 + 50 = 70°
what is the factor of 12
Answers
Answer:
1, 2, 3, 4, 6, 12
Step-by-step explanation:
35n^2+371n+882. Factor
Answers
Answer:
7(x+7)(5x+18)
Step-by-step explanation:
Answer:
factors are (5n + 8)(n + 7)
Step-by-step explanation:
[tex] {35n}^{2} + 371n + 882 \\{ \sf{sum = \frac{371}{35} \: and \: product = \frac{882}{35} }} \\ factors= (5n + 8)(n + 7)[/tex]
Write each word statement as an equation. Use x as the variable. Find all solutions from the set (5,7,12,17,22).
The sum of a number and 5 is 17
The equation is
? = 17
Answers
You have to fist write it in a way you don't confuse yourself
Let the number be x
x+5=17
x=17-5
x=12
It's a step by step process