Plsss helpppp worth 100 points + other 2 questions
1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function. (1st picture)
a) What is the phase shift, c, of this curve?
b) What is the vertical shift, d, of this curve?
c) What is the amplitude, a, of this curve?
d) What is the period and the frequency factor, b, of this curve?
e) Write an equation using the cosine function that models this data set.
2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to model the curve using the sine function.
(4.5, 2), (1.5, 22)
a) What is the vertical shift, d, of this curve?
b) What is the amplitude, a, of this curve?
c) What is period and the frequency factor, b, of this curve?
d) Write an equation using the sine function that models this curve.
Answers
Answer:
1.)
A.) phase shift is c = 6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y = -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x - 6)) - 21
2.)
Answer:
A.) Vertical shift is 12 units down
B.) The amplitude is 10
C.) The period is 6 and the frequency factor is pi/3
D.) Equation: y = 10sin(pi/3(x)) + 12
Answer:
1.)
A.) phase shift is c = 6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y = -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x - 6)) - 21
2.)
Answer:
A.) Vertical shift is 12 units down
B.) The amplitude is 10
C.) The period is 6 and the frequency factor is pi/3
D.) Equation: y = 10sin(pi/3(x)) + 12
Step-by-step explanation:
Related Questions
Evaluate the expression
(x + 3)(y - 2) , if x = -2, and y= 6
Answers
Answer:
The answer is 4
Step-by-step explanation:
Given,
[tex]x=-2,\,y=6[/tex]
Now, the expression
∴[tex](x+3)(y-2)\\=>(-2+3)(6-2)\\=>(1)(4)\\4[/tex]
hope you have understood this...
pls mark my answer as the brainliest
if (y-b)÷(x-a)=m, then x is equal to
Answers
Step-by-step explanation:
[tex] \frac{(y - b)}{(x - a)} = m \\ y - b = m(x - a) \\ y - b = mx - am \\ mx = y - b + am \\ x = \frac{y - b + am}{m} [/tex]
Picture shown!
If
f(x) = x^2+ 2x - 4
and
g(x) = 3x + 1
Find
g(f(x)) = [ ? ]x^2+ [ ? ] + [ ? ]
Answers
Answer:
3x^2+6x-11
Step-by-step explanation:
g(f(x)) = g(x^2+2x-4) = 3(x^2+2x-4)+1 = 3x^2+6x-11
If there are 16 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made. They already used 16:32 as an example
Answers
Answer: 8:16
Step-by-step explanation:
Ratios are like fractions, you can DIVIDE, so...
16 divided by 2 is 8
32 divided by 2 is 16
So there you have it!
Try it now. Enter the interval equivalent to
2
<
x
≤
5
or
x
>
7
Answers
We have that
The interval equivalent to each range is given below
[tex]x=3-5[/tex]
[tex]x'=7,8,9 ...[/tex]
From the Question we are told that
2 < x ≤ 5 or x >7
Generally the interval equivalent is given as follow from the number line
(...-1,0,1...)
For 2 < x ≤ 5
Here this means x is less than 2 and less than or equal to 5
Therefore
A range of numbers
[tex]x=3-5[/tex]
For x >7
Here x is greater than 7 i.e
[tex]x'=7,8,9 ...[/tex]
in conclusion
The interval equivalent to each range is given below
[tex]x=3-5[/tex]
[tex]x'=7,8,9 ...[/tex]
For more information on this visit
https://brainly.com/question/16191404
Answer:
(2,5] U (7,∞)
Step-by-step explanation:
got it correct.
Please answer this ASAP NO PHOTOS PLEASE
Answers
Answer: 1cm cubed
Step-by-step explanation:
Cube Formula = L x W x H
= 1 x 1 x 1
= Volume of cube
= 1cm cubed
-5c+5c+2c–6c–12c-16 16=c
Answers
Step-by-step explanation:
-5c+5c+2c–6c–16=c
-16c - 16=c
-16 = c + 16c
-16 = 17c
-16/17 = c
Find the mode from the given data a, c, b, b, a, c, a, b, c, a, c
Answers
Lets write the repeatations
a=4times b=3timesc=4timesa=c.
Hence this data has no mode.
2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
Please answer fast step by step. I will mark the best answer as brainliest.
Answers
Answer:
Step-by-step explanation:
[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]
[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]
The expression (4c − 3d)(3c + d) is equivalent to:
A. 12c2 − 13cd − 3d2
B. 12c2 − 13cd + 3d2
C. 12c2 − 05cd − 3d2
D. 12c2 − 05cd + 3d2
E. 12c2 − 03d2
Answers
(4c - 3d)(3c + d) =
= 12c² + 4cd - 9cd - 3d² =
= 12c² - 5cd - 3d²
The expression (4c − 3d)(3c + d) is equivalent to 12c² - 5cd - 3d²
(4c − 3d)(3c + d)
Open the bracket
12c² + 4cd - 9cd - 3d²
Collect like terms
12c² - 5cd - 3d²
Hence, the equivalent value of the expression is : 12c² - 5cd - 3d²
Learn more : https://brainly.com/question/18109354
What fraction is equal to −0.37¯¯¯¯¯?
Answers
Answer: -37/100
Step-by-step explanation:
Given
-0.37
Convert to division form (Any division that can get -0.37)
-37 ÷ 100
Convert to fraction
[tex]\boxed{-\frac{37}{100} }[/tex]
Finally, always make sure the final fraction is no longer divisible.
Hope this helps!! :)
Please let me know if you have any questions
You know this as when you do -37 divided by 100, that gives you -0.37.
Please help me AAAAAA
Answers
Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
kiara starts with k marbles iin her collection. she loses 16
Answers
Answer:
Answer: k - 16
Step-by-step explanation:
If she looses, it becomes less or smaller. Subtraction produces that result. K is a fairly large number. 16 is much smaller. So she has K - 16 left.
K - 16
Which of the following is a point of tangency on the circle below?
Answers
Answer:
Answer D but read below.
Step-by-step explanation:
The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.
Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.
However I think you are expected to answer F which is answer D.
Answer:
The answer is D.
Step-by-step explanation:
I learned it in school.
What is the mean of the data set rounded to the nearest tenth?
0.7 1.1 0.8 1.6 1.6 2.2 1.1
Answers
Answer:
1.3Step-by-step explanation:
Mean is the average of data set:
μ = (0.7 + 1.1 + 0.8 + 1.6 + 1.6 + 2.2 + 1.1)/7 = 1.3Mean
[tex]\\ \rm\leadsto \dfrac{\sum n}{n}[/tex]
[tex]\\ \rm\leadsto \dfrac{0.7+1.1+0.8+1.6+1.6+2.2+1.1}{7}[/tex]
[tex]\\ \rm\leadsto 1.3[/tex]
Evaluate the following expression
Answers
H ;-)
x = -3 and y = -2
2x² - 5xy - y³ =
= 2 · (-3)² - 5 · (-3) · (-2) - (-2)³ =
= 2 · 9 - 30 - (-8) = 18 - 30 + 8 =
= -12 + 8 = -4
Answer:
[tex]2 {x}^{2} - 5xy - {y}^{3} \\ x = - 3 \\ y = - 2 \\ 2 { (- 3)}^{2} - 5 \times - 3 \times - 2 - { (- 2)}^{3} \\ 2 \times 9 + - 30 - - 8 \\ = 18 - 30 + 8 \\ = - 4 \\ thank \: you[/tex]
the expression for perimeter of a rectangle
with a length of (x + 7) and a width of (2x)
Answers
Answer:
P = 6x + 14
Step-by-step explanation:
P = 2l + 2w
where P is perimeter, l is length, and w is width
l = x + 7
w = 2x
So P = 2(x+7) + 2(2x)
Distribute the 2 to the x and 7.
P = 2*x + 2*7 + 2*2x
Multiply each term out
P = 2x + 14 + 4x
Group the xs
P = 2x + 4x + 14
Combine like terms
P = 6x + 14
please help me it’s my last question
Answers
One circle is 360°, that means, 180° is half of the circle.
Then, the required rotation may be performed according to this property. For more details see the attached picture.
A shoe store is selling all basketball shoes at a 20% discount. What is the sale price of a pair of shoes originally priced at $139.00? (2 points)
$105.20
$111.20
ОООО
$127.80
$166.80
Answers
Explanation:
20%= 0.2
$139.00 * 0.2= $27.8 discounted
$139.00-$27.80= $111.20
Can anyone answer this please? I need help
Answers
Answer:
84 cm squared, 30 cm squared, 18 cm squared
Step-by-step explanation:
Formula for triangle area= 1/2 Base * Height
Area for triangle ABD= 1/2 (12cm)*(14cm)
=84 cm squared
Area for triangle BC(orange triangle)= 1/2 (6cm)*(10cm)
=30 cm squared
BC= half of BD
Area for triangle CD(Green triangle)= 1/2 (6cm)*(4cm)
=12 cm squared
area of green triangle is 12cm^2
Step-by-step explanation:
1/2×6×4
3×4
12
6. In which set(s) of numbers does the real number 0 belong?
A. irrational only
B. rational, whole, and natural
C. rational, integer, and natural
D. rational, integer, and whole
Answers
Answer:
rational integer and whole
Answer:
D. Rational, integer, and whole.
Step-by-step explanation:
0 can be written in a ton of fraction forms (like [tex]\frac{0}{2645648}[/tex]), so it is rational.
Whole numbers include 0 and the natural numbers, but natural numbers alone, don't include 0.
Integers are the whole numbers and they negative opposites.
12 POINTS + BRAINLIEST TO FIRST CORRRECT AANSWER!
Which ordered pair would form a proportional relationship with the point graphed below?
On a coordinate plane, point (60, negative 20) is plotted.
(–10, 30)
(30, –15)
(–30, 10)
(80, –30)
Answers
★» -30, 10
★» Yes, I use ★» at the beginning of each sentence, it's my style.
Answer:Its c
Step-by-step explanation:
17. A rectangle has perimeter
40 in. If the width is 7 in, find the
area.
Answers
Area= 91
Step-by-step explanation:
if the width is 7 then the length is 13
13 times 7 is 91
Multiply (FOIL)
( x - 3)( 2x + 5)
(3x + 7)(2x - 1)
Answers
[tex](x-3)(2x+5)=2x^2+5x-6x-15=\boxed{2x^2-x-15}\\\\(3x+7)(2x-1)=6x^2-3x+14x-7=\boxed{6x^2+11x-7}[/tex]
Please help!
3x – 4 = = 35
Answers
Answer:
13
Step-by-step explanation:
3x13-4=35 Hope this helps
Step-by-step explanation:
Hope it helps.
Thank you
find the last digit of 45^45
Answers
Answer:
45^45=2025, so the last digit is 5.
Step-by-step explanation:
x^2-y^2-z^2 factorise
Answers
Answer:
2(x-y-z)
Step-by-step explanation:
take common fromm all of those terms
WILL GIVE BRAINLY: VOLUME
width=12 length=12 height=14 find volume of aquarium
Answers
Answer:
2016 cubic units
Step-by-step explanation:
12 * 12 * 14 = 2016
Answer:
2,016
Step-by-step explanation:
volume formula is width*length*height
= 12*12*14= 2016unit^3
1/2x +1/4y =32 , then find 2x+y
Answers
Answer:
128
Step-by-step explanation:
Dave has $15 to spend on an $8 book and two
birthday cards (c) for his friends. How much can
he spend on each card if he buys the same card
for each friend?
Answers
Answer:
yesjndndkkwkdkdndkiskdn
Answer:
3.50 on each cuz 15-8=7 and 7÷2= 3.5 or 3.50