The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.
Month
Jan Feb Mar
Apr May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
1
2
3
4
5
6
7
8
9
10
11
12
Temp.
21°
27°
390520620
720
770
740
650
53°
39°
25°
a. Write a sinusoidal function that models Omaha's monthly temperature variation
b. Use the model to estimate the normal temperature during the month of April.
Answers
Answer
[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]
Step by Step Explanation
Given
See attachment for table
Required
Determine the sinusoidal function
The sinusoidal function is represented as:
[tex]y = A \sin(Bx + C) + D[/tex]
Where
[tex]|A| = Amplitude[/tex]
And it is calculated as:
[tex]A = \frac{1}{2}[Highest - Least][/tex]
From the table:
Highest = 77 and Least = 21
So:
[tex]A = \frac{1}{2}[77 - 21][/tex]
[tex]A = \frac{1}{2}[56][/tex]
[tex]A = 28[/tex]
B is calculated as:
[tex]Period = \frac{2\pi}{B}[/tex]
The period is 12 i.e. 12 months
So:
[tex]\frac{2\pi}{B} = 12[/tex]
[tex]B = \frac{2\pi}{12}[/tex]
[tex]B = \frac{\pi}{6}[/tex]
C is calculated as:
[tex]\frac{C}{B} = -4[/tex]
[tex]C = -4 * B[/tex]
[tex]C = -4 * \frac{\pi}{6}[/tex]
[tex]C = -2 * \frac{\pi}{3}[/tex]
[tex]C = -\frac{2\pi}{3}[/tex]
Lastly, D is calculated as:
[tex]D = Least + A[/tex]
So:
[tex]D =21 + 28[/tex]
[tex]D=49[/tex]
So, the function is:
[tex]y = A \sin(Bx + C) + D[/tex]
[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]
Answer:
y=28 sin (pi/6 t - 7pi/6)+49
Step-by-step explanation:
Related Questions
What is the total area of each garden bed has a length of 4 feet Amelia
Answers
Answer:
48 ft^2.
Step-by-step explanation:
In this case, our formula is known as 3s^2 which can be written out as 3 x s x s or 3(s x s). S is the variable to represent our length and width because the formula for finding the area is l x w which can be written out as length x width. If the total area of each garden bed has a length of 4 feet, our equation would be 3(4 x 4) or 3 x 4 x 4 or 3(4)^2. 4 x 4 or 4^2 is 16. If we multiply 16 by 3, the answer would be 48. That is why the total area of each garden bed would be 48 ft^2.
On a coordinate plane, what are the center and radius of the circle represented by
(x+3)^2 + (y – 5)^2 = 25?
A. Center: (-3, 5); Radius: 25
B. Center: (3, -5); Radius: 25
C. Center: (3, -5); Radius: 5
D. Center: (-3, 5); Radius: 5
Answers
The answer is D.
Center is (-3, 5) and Radium is 5
Need help with math!!
Answers
5. Your gross monthly income is $4,400. What is your after-tax monthly income if 14% is deducted for taxes
each month?
A) $5016 B) $616 C) $4386 D) $3784
Answers
$4,400-0.616=$3,784
Answer is D
Answer:
$3,784
Step-by-step explanation:
Tell if the Ratio is Part-to-part or part-to-whole
4 apples to 3 oranges
Answers
Answer: Part-to-part
Step-by-step explanation:
This is a part-to-part, because they show part of apples, and part of oranges. This ratio when set up is 4:3. If the ratio was part-to-whole, then the apples would be compared to the total amount of oranges and apples. The ratio for part-to-whole would be 4:7.
Hope this helps!
Crystal randomly selects a card from the list and
then replaces it. Find:
a. P(two even numbers)
b. P(number less than 4 and a number greater than 4)
Answers
If P(A) = .24 and P(B) = .52 and A and B are mutually exclusive, what is P(A or B)?
(a).1248
(b).28
(c).6352
(d).76
Answers
Please can someone please help me answer this question
Don't put links
I rlly need it
Answers
Answer:
1.10231131
Step-by-step explanation:
What was first the fruit orange or the color orange
And how did the first people kill an animal with what
If a bow then where did they get the string from
Answers
Answer:
The orange (fruit) definitely got named first.
In ancient time, people hunt animals with old hunt tools. We can see some examples of old hunting tools.
And if they used bow, then I think they made string from raw materials like tree's branded peels.
Step-by-step explanation:
please help pslpslsplspslspslspslsplspsl
Answers
Answer:
x=30/96
Step-by-step explanation:
x=31%
HELP TIMED!!
Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a 7 or a queen?
Answers
Answer:
50%
Step-by-step explanation:
Its a deck and its suffled
Answer:
[tex]\frac{8}{52}[/tex] = 0.15384615384 = 15.38%
Step-by-step explanation:
There are 4 7s and 4 queens so
[tex]\frac{4}{52}[/tex] + [tex]\frac{4}{52}[/tex] = [tex]\frac{8}{52}[/tex]
A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total receives were $2414
How many who paid were adults?
How many who paid were seniors?
Answers
Answer:
Step-by-step explanation:
Determine the types of tickets involved.
There are student tickets and adult tickets.
Create a table to organize the information.
Type
Number
Value ($)
Total Value ($)
Student
6
Adult
9
1
,
506
Step 2. Identify what you are looking for.
We are looking for the number of student and adult tickets.
Step 3. Name. Represent the number of each type of ticket using variables.
We know the number of adult tickets sold was
5
less than three times the number of student tickets sold.
Let
s
be the number of student tickets.
Then
3
s
−
5
is the number of adult tickets.
Multiply the number times the value to get the total value of each type of ticket.
Type
Number
Value ($)
Total Value ($)
Student
s
6
6
s
Adult
3
s
−
5
9
9
(
3
s
−
5
)
1
,
506
Step 4. Translate: Write the equation by adding the total values of each type of ticket.
6
s
+
9
(
3
s
−
5
)
=
1506
Step 5. Solve the equation.
6
s
+
27
s
−
45
=
1506
33
s
−
45
=
1506
33
s
=
1551
s
=
47
students
Substitute to find the number of adults.
3
s
−
5
=
number of adults
3
(
47
)
−
5
=
136
adults
Step 6. Check. There were
47
student tickets at
$6
each and
136
adult tickets at
$9
each. Is the total value
$1506
?
We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.
47
⋅
6
=
282
136
⋅
9
=
1224
_____
1506
✓
Step 7. Answer the question. They sold
47
student tickets and
136
adult tickets.
Plz help, And no links please
List all the possible rational zeros of the function f(x)=x^2-5x+12
Answers
However, here is the method u can use to find the zeros lol
You can use the quadratic formula in order to get the zeros
This is the equation therefore use these values
ax^2+bx+c=0
A=1
B= -5
C=12
The quadratic formula is -b±√(b^2-4ac))/2a (I left a picture just in case)
Daria makes and sells stuffed toys she uses special fabric to cover a funky to make a number two how much fabric did Daria use to make this number cube
Answers
The question is incomplete as the side lengtb of the cube isn't given. Taking the side length to b
be a value, x
Answer:
Step-by-step explanation:
Given that :
The side length = x
To obtain the amount of fabric which would be required for covering the funky, we Obtian the total surface area of the foam. Cube.
Using he relation :
Surface area of a cube = 6 * s² ; the side length s = x
Surface area = 6 * x².
Hypothetically,
Let x = 7 cm
E
pls help me out what up
Answers
Answer:
Answers are below
Step-by-step explanation:
29. 3(4x-5) + 4(2x+6)
Solution: 20 + 9
30. -8(2a - 3b) - 5(6b - 4a)
Solution: 4 − 6
31. 10(5g + 2h - 3) - 4(3g - 4h + 2)
Solution: 38 + 36ℎ − 38
hope this helps :) Let me know if you need any further explanations.
Can some one help me with all of these if not can you help me with 3-4
Answers
1620 = 13x8xw
1520/104 = w
w=15.57 cm
933 months
years
months
Answers
Answer:
933mounths=77years and 9 mounts
Answer:
[tex]77\frac{3}{4}[/tex] years = 933 months
77.75 years = 933 months
Step-by-step explanation:
1 year = 12 months
y = 933 months
[tex]\frac{1}{12}= \frac{y}{933}[/tex]
12 × y = 933 × 1
12y = 933
12y ÷ 12 = 933 ÷ 12
y = 77.75
Find an angle between 0 and 360 degrees that is coterminal with 232
Answers
Answer:
Hola que hace
:I
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
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A. Skewed Right
B. Uniform
C. Skewed Left
D. Normal
Answers
Skewed Right I think. I'm not sure but try it
Answer:
C. Skewed Left
Step-by-step explanation:
Because the first 2 age group have minimal runners than the next 3 age groups spikes and the last 4 are very low once again. the spike occurs relavity near the beggining so if graphed it would be skewed left.
Find the volume of the cylinder.
Answers
Answer:
Step-by-step explanation:
V=πr^2h is the equation for volume of a cylinder.
the radius is half of 50 so 50/2=25.
then 75 is the height so you plug the vaules in
V=(3.14)((25)^2)(75)
then multiply and you get 147187.5 rounded to the nearest whole number that is 147188
hope this helps :)
Alan used 9 as a estimate for 3 7/10+5 4/10 He added and got 9 1/10 for the actual sum.Is Alan answer reasonable?
Answers
3 7/10 + 5 4/10 = 8 11/10 = 9 1/10
so estimate = 9
actual answer = 9 1/10
yes, his answer is reasonable
brainliest or a thank you please :)) <33
Write an equation of the line and interpret the slope.
Answers
Answer:
y=-100x+700
Step-by-step explanation:
Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100
So your slope would be m=-100
To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:
y=mx+b (Slope-intercept form)
y=-100x+b (Equation so far)
200=-100(5)+b [Plugging in (5,200)]
200=-500+b
700=b
So since the y-intercept is b=700, then the equation of the line is y=-100x+700
Reduce your fraction into lowest terms.
Answers
HELPO PLS TYSMMM
I’m bad so help lol
Answers
Answer:
no, yes, yes , no, yes
Step-by-step explanation:
please help me i'm going to give you brainless
Answers
Answer: 280 children
Explanation: Each grade has 70 kids. You have 4 total grades (3rd, 4th, 5th, and 6th grade). You have to add the number of kids you have in every grade. In this case, 70 children in 3rd grade, 70 children in 4th grade, 70 children in 5th grade, and 70 children in 6th grade. The problem would look like this:
70 + 70 + 70 + 70
Then your answer is 280 when you add them all together!
plz help 50 points will give brainliest to first correct answer
Answers
Answer:
Step-by-step explanation:
BDC=95
Answer:
[tex] m\angle BDC = 95\degree [/tex]
Step-by-step explanation:
[tex] In\: \triangle ACD\: \&\:\triangle BDC[/tex]
[tex] m\angle A = m\angle B[/tex] (given)
[tex]\because m\angle A = 50\degree [/tex]
[tex]\therefore m\angle B = 50\degree [/tex]
[tex] m\angle ADC = m\angle BCD[/tex] (given)
[tex]\because m\angle ADC = 35\degree [/tex]
[tex]\therefore m\angle BCD= 35\degree [/tex]
[tex] In\: \triangle BDC[/tex]
[tex] m\angle BDC = 180\degree - (m\angle B+m\angle BCD) [/tex]
(By angle sum postulate of a triangle)
[tex] m\angle BDC = 180\degree - (50\degree +35\degree ) [/tex]
[tex] m\angle BDC = 180\degree - (50\degree +35\degree ) [/tex]
[tex] m\angle BDC = 180\degree - 85\degree [/tex]
[tex] m\angle BDC = 95\degree [/tex]
psychology!!!!
An individual who exhibits a mixture of schizophrenic symptoms most likely has undifferentiated schizophrenia.
Please select the best answer from the choices provided
T
F
Answers
Answer:
t
Step-by-step explanation:
Answer:t
Step-by-step explanation:the other person was right
how to factor y^2+49
Answers
This expression is not factorable with rational numbers
Answerrrrrrrrrr: )?
Answers
Answer:
I think the answer is D
Step-by-step explanation:
MARKING BRAINLIEST!!!!!
Answers
Answer:
Water Stats
The average family can waste 180 gallons per week, or 9,400 gallons of water annually, from household leaks. That's equivalent to the amount of water needed to wash more than 300 loads of laundry. Household leaks can waste approximately nearly 900 billion gallons of water annually nationwide.
Step-by-step explanation:
THATS FOR NUMBER 2
Answer:
19.3 Gallons
Step-by-step explanation:
83066/1000 to get back to liters
83.066 Liters/4.54=19.3 Gallons
