State the amplitude, period, and phase shift for y = 2 sin(θ+20°). Then graph the function.
Answers
Step-by-step explanation:
Amplitude = 2
period = 2π or 360°
phase shift = 20° leading
Related Questions
Does the location of the first aid station actually fall in the middle of the park? Provide mathematical calculations to support your answer.
Answers
Answer:
The first aid station is at the middle of the park.
Step-by-step explanation:
Given
[tex](0,0) \to[/tex] Origin of Fun
[tex](-7, 6) \to[/tex] Quadratics in Motion
[tex](-2, 14) \to[/tex]Towers of Trigonometry
[tex](5,8) \to[/tex] The Food Equation
[tex](-1,7)\to[/tex] First aid station
Solving (a): Plot the above points
See attachment for plot
Solving (b): Determine if the first aid station is at the center of the park
From the plot, we have the opposite points to be:
(1) [tex](0,0)[/tex] and [tex](-2, 14)[/tex]
(2) [tex](5,8)[/tex] and [tex](-7, 6)[/tex]
Calculate midpoint using:
[tex]M = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]
For (1):
[tex]M = \frac{1}{2}(0 -2, 0 + 14)[/tex]
[tex]M = \frac{1}{2}(-2,14)[/tex]
[tex]M = (-1,7)[/tex]
For (2):
[tex]M = \frac{1}{2}(5 -7, 8 + 6)[/tex]
[tex]M = \frac{1}{2}(-2,14)[/tex]
[tex]M = (-1,7)[/tex]
From the above computation, we have midpoint to be:
[tex]M = (-1,7)[/tex]
Given that:
[tex](-1,7)\to[/tex] First aid station
We can conclude that the first aid station is at the middle of the park.
it takes 0.75 cups of sugar to make a batch of lemon cookies i have 5.5 cups of sugar how mant batches can i make
Answers
Answer:
7.3
Step-by-step explanation:
help please!!!
i will give brainleist
Answers
Answer:
B
Step-by-step explanation:
y = 3x + 4
plug in (-2, -2)
-2 = -6 +4
-2 = -2
y = 6x + 10
plug in (-2, -2)
-2 = -12 + 10
-2 = -2
Answer:
B
Step-by-step explanation:
Given the 2 equations
y = 3x + 4 → (1)
y = 6x + 10 → (2)
Substitute y = 6x + 10 into (1)
6x + 10 = 3x + 4 ( subtract 3x from both sides )
3x + 10 = 4 ( subtract 10 from both sides )
3x = - 6 ( divide both sides by 3 )
x = - 2
substitute x = - 2 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 3(- 2) + 4 = - 6 + 4 = - 2
solution is (- 2, - 2 ) → B
Help me. I need to do it by today!
Answers
Answer:
TC recheck it hexes ten 8 Uzbek
PLS HELP ASAP (Brainliest answer if it's right)
The width of a rectangle measures (8p+5) centimeters, and its length measures (4p+4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
1. 24p+18
2. 8+13p
3. 9+12p
4. 26p+16
Thx if u help>3
Answers
Answer:
1. 24p + 18
Step-by-step explanation:
One of the formulas used to find the perimeter of a rectangle is:
P = 2(l + w)
Where P is the perimeter, l is the length, and w is the width. We can substitute in the given values:
P = 2[(4p + 4) + (8p + 5)]
Now we can combine the like terms:
P = 2[12p + 9]
And simplify:
P = 24p + 18
This is the same as option 1.
PLEASE HELP FIND THE MISSING EXPONET
Answers
Answer:
x=7
Step-by-step explanation:
Answer:
The missing exponent is 7 :)
if the amount of money you have matched ur phone number, how much do you have?
Answers
Answer: lma0
Step-by-step explanation:
Answer:
45 even tho my mine broke xD
have a good day :)
Step-by-step explanation:
The function g(t) = -16t2 + vt + h represents the height of an object, g, in feet above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Part A: Write a function that can be used to describe the flight of the model rocket.
A. g(t) = -16t^2 + 80t + 80
B. g(t) = -16t^2 + 80
C. g(t) = -16t^2 + t + 80
D. g(t) = -16t^2 + 80t
Answers
please help asap! i’ll try to mark you brainliest if you get it right and can explain!
Answers
Steps:
5x=x^2/2
10x=x^2
x^2-(10x)=0
(x-10)(x+0)=0
Solve for factors
x-10=0
x=10
x+0=0
x=0
A coke can and a monster can are each in the shape of a right circular cylinder. The cans have the same radius but the height of the monster can is 2 times the height of the coke can. What is the ratio of the volume of the coke can to the volume of the monster can
Answers
Answer:
1 : 8
Step-by-step explanation:
Given the height of 2 similar cylinders = a : b , then
ratio of volumes = a³ : b³
Here the ratio of heights = 1 : 2
ratio of volumes = 1³ : 2³ = 1 : 8
1)
2 points
A school lunch menu is posted in the cafeteria as shown below. Phoebe selects 1
food item and 1 drink at random. What is the probability she chooses a hamburger
with juice?
Food
hamburger
pizza
chicken nuggets
Drinks
milk
juice
Your answer
Answers
Answer:
81
Step-by-step explanation:
Look at the picture of the graph below, select all the answers
that apply to the graph.
Answers
And the discriminant is a positive value. (Since there are 2 solution or roots, that means the discriminant value must be positive)
- if you want to check to make sure it’s a positive value (visually the graph tells you it’s positive) you would find the equation of the curve then plug in the formula b^2-4ac
Solution 1: (0,-5)
Solution 2: (0,-3)
Find x. Round your answer to the nearest tenth of a degree.
Answers
Answer:
51.70
Step-by-step explanation:
The county park wants to install a circular fence around the sandpit. How much fencing will they need if the diameter of the sandpit is 10 ft?
Answers
Answer:
157.07963
Step-by-step explanation:
2πr²
2π(5)²
2π(25)
50π
157.07963
help me with this math question please I'm giving away brainliests
Answers
Answer:
Horizontal Asymptote: None (degree of numerator is larger than denominator)
Vertical Asymptote: None (domain of function is [tex]\mathbb{R}[/tex])
x-intercept: (0, 0)
y-intercept: (0, 0)
Hole: (-2, 1)
Step-by-step explanation:
HA: Since the degree of the numerator (2) is larger than the degree of the denominator (1), no HA exists.
VA: Since the domain of the function of is [tex]\mathbb{R}[/tex] (all real numbers), no VA exists. *no real value of x will make the denominator equal to 0 and numerator [tex]\neq[/tex] 0
x-intercept:
The x-intercept occurs at [tex]y=0[/tex].
Solving for x:
[tex]0=\frac{-2x^2-4x}{4x+8}[/tex]:
[tex]0=-2x^2-4x,\\x=0[/tex]. Therefore, the x-intercept is (0, 0).
y-intercept:
The y-intercept occurs when [tex]x=0[/tex].
Solving for y:
[tex]\frac{-2x^2-4x}{4x+8}, x=0,\\\frac{-2(0)^2-4(0)}{4(0)+8}=0[/tex]. Therefore, the y-intercept is (0, 0).
Hole:
When looking for a hole, we are looking for a factor that occurs in both the numerator and denominator:
[tex]\frac{-2x^2-4x}{4x+8}=\frac{-2x(x+2)}{4(x+2)}[/tex]
Rewriting our function here, we see that the term [tex](x+2)[/tex] occurs in both the numerator and denominator. Thus, when this term is set to 0, it will make both the numerator and denominator 0, thus rendering an undefined value (since we cannot divide by 0). We call this a hole. *Note: Usually when an x-value makes the denominator zero, this will create a vertical asymptote. However, if the x-value also makes the numerator zero, it's considered a hole, not an asymptote. The x-value of this hole will be the value of when the common term is equal to 0:
[tex]x+2=0,\\x=-2[/tex]
To find the y-value of the hole, remove the common term and plug in your x-value:
[tex]\frac{-2x^2-4x}{4x+8}=\frac{-2x(x+2)}{4(x+2)}=\frac{-2x}{4},\\\frac{-2(-2)}{4}=\frac{4}{4}=1[/tex]
Therefore, the hole of this function is at (-2, 1).
What is the slope of the line?
Answers
Find the volume of the rectangular prism.
Answers
Answer: 105
Step-by-step explanation: 3 x 7 x 5= 105
Answer:
105
Step-by-step explanation:
You have to do 3 x 5 x7 because Volume = W * H * L
3 x 5 x 7 = 105
can somebody please help (no websites)
Answers
Answer:
x y
0 .75
3 3.75
9 9.75
Step-by-step explanation:
You add .75 to whatever number x equals, to get y.
Hope that this helps!
Divide. Give the exact answer, written as a decimal.
Answers
Answer:
11.12
Hope this helps-
Step-by-step explanation:
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answers
Answer:
A B D
Step-by-step explanation:
those are the answers
But a closer look shows that B will be the best answer.
Answer:
Since all the rhombus is parallelogram
some are trapezoid and quadrilateral.
So
B.parallelogram is a answer:
it opposite side are equal.
diagonal bisect angle equally.
.
If a fish is swimming 20 feet below the surface of the ocean and a bird flying directly overhead of the fish is 12 feet above the surface, how far apart are they?
Answers
Answer:
32 feet
Step-by-step explanation:
The equation would be 12 - (-20)
12 + 20 = 32
Select the correct answer.
Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect does this have on
the surface area of the pyramid?
OA The surface area of the pyramid is multiplied by 10.
OB. The surface area of the pyramid is multiplied by 50.
Ос. The surface area of the pyramid is multiplied by 100.
OD The surface area of the pyramid is multiplied by 1,000.
ОЕ The effect on the surface area cannot be determined.
Answers
Answer:
The answer must be c because a pyramid is built from one step to
another
AREA OF A CIRCLE HELP PLS
Answers
Answer:
201.06
Step-by-step explanation:
pi × 8²
Find (fog)(x) for f(x)=x^2+4 and g(x)=7-x
please answer asap urgent!
Answers
Answer:
f(g(x)) = x^2 - 14x + 53
Step-by-step explanation:
f(g(x)) = (x-7)^2 + 4 = x^2 - 14x + 53
What is the value of x?
Answers
Answer:
x=10.4
Step-by-step explanation:
a car uses 32 L of gas to travel 450 KM. how many liters would be required to drive 800 km (to the nearest tenth)?
Answers
Answer: 56.88 L
Explanation:
Let L represents number of liters
A Car uses 32 L of gas to travel 450 km.
Write a proportion for the problem using rates.
450/32 = 800/L
Cross product is 450*L = 800*32
450L = 25600
Divide each side by 450.
450L/450 = 25600/450
L = 56.88
The population of a certain animal species
decreases at a rate of 3.5% per year. You
have counted 80 of the animals in the
habitat you are studying. Using the
exponential function f(x) = 800.965)*,
determine the domain and range for this
scenario.
Domain:
Range:
Answers
cacita fria
Step-by-step explanation:tu mamita
Please answer this troublesome question shown in the image
Answers
2
—
X3
Explanation:
A.4 Simplity radical expressions SC5
Subtract. Write your answer in simplest form.
-9. 5 - 10/5
Answers
Answer:
your answer should be -11.5
Step-by-step explanation:
all you do is divide 10/5 which will give you 2 then you do -9.5-2 which gives you -11.5
If the cheetah sprinted at 70 mph how far would the cheetah have traveled
Answers
Answer:
If the cheetah sprinted at 70 mph, then the cheetah would travel 70 miles every hour.
Step-by-step explanation: