Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 45 degrees at midnight and the high and low temperature during the day are 54 and 36 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Answer:

D = 9sin(2π(t + a)/24) + 45

Step-by-step explanation:

Let's find the average temperature;

(54 + 36)/2 = 45°

Amplitude = 54 - 45 = 9

From the wave equation, we can write the temperature as;

D = 9sin(2π(t + a)/24) + 45

Where;

D is the temperature

t is the time in hours after midnight

a is a "phase" that is used to set the time at which temperature(D) occurs

There are 3/4 as many vanilla cupcakes as chocolate cupcakes in a bakery. If there are 35 cupcakes in the bakery, how many are chocolate?

GIVING OUT BRAINLIEST TO CORRECT ANSWER WITH EXPLANATION

A triangular prism. The triangular base has a base of 11 inches and height of 7 inches. The height is 9 inches.

The formula for volume of a prism is V = Bh.

The variable B stands for the .
In this prism, B equals in.2.
The variable h stands for .In this prism, h is in.
The volume of the prism is in.3.

pls solve this! no work needs to be shown!

12g=12(2/3g-1)+11

Lainey se desliza por un tobogán de agua de 352 pies de largo a una velocidad de 44 pies por segundo . ¿Cuánto tiempo le tomará a Lainey viajar desde la parte superior hasta la parte inferior del tobogán?
A -8 segundos
B.
8 segundos
C.
308 segundos
D.
-308 segundos

A crew is picking up chairs in the gymnasium after an event. After
clearing 217 chairs from the gym floor, 36 chairs still remain. Write an
equation you can use to find the number of chairs c placed on the gym
floor for the event.

PLEASE HELP!!
What is the missing reason in step 5?
Given: Circle O with diameter LN and inscribed angle
LMN
Prove: ZLMN is a right angle.
M
Statements
Reasons
1. circle O has diameter LN and 1. given
inscribed angle LMN
2.
LKN is a semicircle
2. diameter o divides
into 2 semicircles
3. circle O measures 360° 3. measure of a circle
is 360°
K
N
4.
m LKN = 180°
5. m LMN = 90°
6. LMN is a right angle
4. definition of
semicircle
5.?
6. definition of right
angle
HL theorem
O inscribed angle theorem
Mark this and return
Next
Submit

A triangle has side lengths 4.9cm 7.3cm and 8cm the angle measures are 36 degree 64° and 80°.?

1. Acute scalene
2. Acute isosceles
3. Obtuse isosceles
4. Obtuse scalene

Pls help ASAP because I need it :(

Is quadrilateral UVWX a parallelogram? Why or why not?
A) Yes, because adjacent sides aren't perpendicular.
B) No, because opposite sides aren't congruent.
C) Yes, because opposite sides are parallel.
D) There isn't enough information.
Question 85 points)

Write an algebraic expression for the product of 2 and the sum of a
number and 6.

The cost of DVDs will grow at a rate of $1.40 each year. In 2013, a new DVD cost $17.99. Let z be the number of years since 2013.
Which function models the price of a new DVD 2 years after 2013?
O f (z) - 17.99 + 1.0147
O f (2) - 17.99 +1.42
f (x) – 17.99(1.4)
O f(z) – 17.99(1.014)

Jason solved the equation below. What error did he make?
8 + 3x = 5(x - 2)
Step A: 8 + 3x = 5x – 10
Step B: 8 = 2x – 10
Step C: -2 = 2.c
Step D: -1= x

What is another way to write the equation 7/8 x 3/4= -6? (Look at picture! Pls hurry)

3) Let h(x)= |2x|-4. Find h(x) when x = -7.
a) -10
b) 10
c) -13
d) 13

What is the product?
(-202 + 5) (502 -65)
+
0-1004 +17025-652
O-1004+ 170452-652
0 -1004 - 7028-682
O -1004+ 1702S+682

If you have $3250 how many board feet can you buy if the cost per board foot is $2.29?

Solve for x.
plz answer fasttt

A school theater can sell 41 tickets for a show. If 9 have
been sold, how many tickets are still left to be sold?
45
B В
32
50
369

What triangle is it unique triangle, more than one triangle, or no triangle?

plz help me:) thank you so much!

A block is pushed from four sides with forces of different magnitude, as shown in the diagram below. N = North, W = West, S = South, and E = East

Identify in which direction the block will move. Support your claim with appropriate evidence and scientific reasoning based on the picture and your knowledge of forces.

A bank account earns 6% simple interes per year if you deposit 1,000 and then do not make any additional deposits or withdrawals what will the balance on the account be after 5 years. Round your answer to the nearest dollar

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Kaleb solved the problem he added all of the numbers. His answer is 16.4
What errors did he make? -2.5(1.4 + 3.1) + 6.9 ( -4.3)

HIII HELP MEEE PLSSSSS

(r) (q-p); use p=5, q=-5 and r =-6

25,714.28571428571 to 2DP

3. Fill in the missing number: (6) (___) = 1
a. 6
b. -6
c. 0
d. 1/6

fatima opened a saving account with $7,500. she decided to deposit that same amount semiannually this account earns 3.975% interest compounded semiannually what is the future value of the account after 10 years​

Which of the ordered pairs form (x, y) is a solution of this equation? 3x + 2y = 6
A. (4, -3)
B. None are solutions.
C. (-2, 0)
D. (8, -5)