1) State the amplitude, period, phase shift, vertical shift and graph

Answer:

See answers and explanations below (along with a visual graph)

Step-by-step explanation:

For the function [tex]y=acos(b(x+c))+d[/tex]:

Amplitude: [tex]|a|[/tex]

Period: [tex]\frac{2\pi}{|b|}[/tex]

Phase shift: [tex]\frac{-c}{b}[/tex]

Vertical shift: [tex]d[/tex]

Therefore, for [tex]y=2cos(\frac{2}{3}(\theta+\pi))-1[/tex]:

Amplitude: [tex]|a|=|2|=2[/tex], which is 2 units above and below the midline (see d)

Period: [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|\frac{2}{3}|}=\frac{2\pi}{\frac{2}{3}}=3\pi[/tex], so the cycle will repeat every 3π units

Phase shift: [tex]\frac{-c}{b}=\frac{-\frac{2\pi}{3} }{\frac{2}{3} }=-\pi[/tex], or π units to the left

Vertical shift: [tex]d=-1[/tex], or 1 unit down

Tara uses 8.8 pints of white paint and blue paint to paint her bedroom walls. 4 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Write the word sentence as an equation.

The sum of nine and one-fourth of a number g is equal to a number h.

1. Complete the following table for the proportional relationship:
Hot Dogs
I Total Price
1
2
$3.00
3
$7.50
12
$31.50
55
What is the constant of proportionality for the relation above?

Someone help me with these please

Someone please help me I’ll give out brainliest please dont answer if you don’t know

You have started keeping track of your spending habits. You have noticed that after 12 days you have
$1281 left in your account. You check again after 17 days have passed and your account is now at $861.
How many days will it take before you run out of money (assume you are spending money at a constant
rate)? Marks will be awarded only for the use of equations where t is the time elapsed in days and m is
the money left in your account in dollars.

I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

what is 1+1

need answer!!!!!!!!!!!!!!!!!!!!!!!!

NEED HELP ASAP


What are the asymptote and y-intercept of the function below?
f(x) = 4x


A.
asymptote: y = 0
intercept: (0,1)
B.
asymptote: y = 1
intercept: (0,1)
C.
asymptote: y = 1
intercept: (0,4)
D.
asymptote: y = 0
intercept: (0,4)

please answer it soon

RS 1000 was distributed equally a anmong certain number of people. If there were 5 people more each would have received RS 20 less .Among how many people was the amount distributed? Find it.

Aaron is a chocolate vendor. He finds that he needs 25 identical sweet boxes to pack all the chocolates he has if he puts 24 chocolates per box. How many sweet boxes will he need to pack all the chocolates, if he puts only 30 chocolates in a box?Immersive Reader (1 Point)

(c) Which numbers are divisible by 10?


683,134 or 680

Find the slope of the line

Which point is located at (2, 6)?

On a coordinate plane, point A is 6 units to the right and 2 units up. Point B is 6 units to the left and 2 units up. Point C is 2 units to the right and 6 units up. Point D is 2 units to the left and 6 units up.
A
B
C
D

Evaluate the expression for n = 8.
6(n + 1) =?

What is the absolute value of -6.75?

HELP ME PLS!!! -1 2/5 - ( -4/5)=?

[tex]5u + 11 = 56 \\ u = [/tex]
how resolve this ?​

pleaseeeeeeeeeeeeeeeeeee answer

Barry wants to make a drawling this is 1/2 the size of the original. If a tree in the original drawling is 11 inches tall and 7 inches wide, what will be the length and width of the tree in Barry's drawling?

If a point in the figure below is chosen at random, what is the probability that it is in the shaded region?​

A truck is bought at the price of $60,000. The value decreases at the rate of .25 every year (t). The exponential expression 60,000(0.75)t describes this situation. Find the value of the truck at 2 years.

Classify each polynomial by the number of terms ( monomial, binomial, trinomial)

A) - 2/3

B) 16u^2 - 7v^2

The parabola in the image has its focus at (4,3). Its directrix is the line y=1. The point (8,6) is on the parabola.
4
3
2
ol

the ages of the 11 players of a soccer team on the soccer field are shown. 21, 32, 22, 28, 26, 30, 29, 24, 22, 24, 26. what would cause the median age of the players on the field to decrese?

She swam 800 meters in 16 minutes, find how many minutes would it take her to swim 1,600 meters?

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1300 seats. The students filled 1001 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?

15 POINTS PLEASE HELP
R/3​+5≤8
Choice a: r=9
choice b: r=12
choice c: r=15
-khan
--choose all answers that apply

The cost of a new robotic toy after an 8% markup can be represented by the expression r+0.08r . Simplify the expression.

Solve each equation using the substitution method.

8+=56