1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dimas [21]
3 years ago
6

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 45 degrees at midnig

ht 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.
Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

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

You might be interested in
If a straight angel is bisected, what type of angels are the resulting angels
NeTakaya
A straight angle is 180 degrees. if you bisect it (cut it in half), you'll end up with two 90 degree angles, which are called right angles.
3 0
3 years ago
Read 2 more answers
Solve the unknown viable<br><br> 7c/12 + 5c/16=15/48 +c
Mashutka [201]
<span>deconstructing
48 : 2 = 24
24 : 2 = 12
12 :2 = 6
6 : 2 = 3
3 : 3 = 1
2 * 2 * 2 * 2 * 3 = 48 
...................................
16 : 2 = 8
8 : 2 = 4
4 : 2 = 2
2 : 2 = 1
2 * 2* 2 * 2 = 16
..................................
12 : 2 = 6</span>\frac{7c}{12}  +  \frac{5c}{16}  =  \frac{15}{48}  + c \\  \\  \frac{7c*4}{12*4}  +  \frac{5c*3}{16*3}  -  \frac{15}{48}  = c \\  \\  \frac{28c + 15c}{48}  -  \frac{15}{48}  = c \\  \\ 48c =  43c - 15 \\  \\ 48c - 43c = -15 \\  \\ 5c =- 15 \\  \\ c =  -3&#10;<span>
6 : 2 = 3
3 : 3 = 1
</span><span>common denominator 48</span>
5 0
3 years ago
A local gym instructor has a course load that allows her to teach eight classes. At an interest meeting, 8 people wanted high-­‐
cricket20 [7]

Answer:

<u>The final curse load of the local gym instructor is this:</u>

<u>High-­‐impact aerobics = 1</u>

<u>Low-­‐impact aerobics =  4</u>

<u>Jazzercise = 1</u>

<u>Step exercise = 2</u>

Step-by-step explanation:

1. Let's apportion the class load using the Hamilton method

Number of classes the local gym instructor can teach = 8

Total number of students that want to take a class = 114 (8 people wanted high-­‐impact aerobics, 64 wanted low-­‐impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise)

Standard divisor = 114/8 = 14.25

Now, we can apportion the students in in Standard quotas, this way:

High-­‐impact aerobics = 8/14.25 = 0.5614

Low-­‐impact aerobics = 64/14.25 = 4.49

Jazzercise = 11/14.25 = 0.7719

Step exercise = 31/14.25 = 2.1754

Now, we find the Minimum quota, just considering the whole number and don't taking into account the decimals, this way:

High-­‐impact aerobics = 0

Low-­‐impact aerobics =  4

Jazzercise = 0

Step exercise = 2

As we can see we have 6 classes and there are 2 still pending. Those 2 goes to the classes with the highest decimal portion, in this case, Jazzercise .7719 and High-­‐impact aerobics with .5614.

<u>The final course load is this:</u>

<u>High-­‐impact aerobics = 1</u>

<u>Low-­‐impact aerobics =  4</u>

<u>Jazzercise = 1</u>

<u>Step exercise = 2</u>

7 0
3 years ago
The Gwinnett fair is in town!! You and your friends decided to meet at the fair this weekend. You have earned $50 from math tuto
PilotLPTM [1.2K]

Answer:

i tried but i dont understand sorry

Step-by-step explanation:

7 0
3 years ago
A basket contains 6 peaches and 8 plums . what is the ratio of peaches to total peaches of fruit ?
Nesterboy [21]
6:8 6 peaches 8 plums. If you doubled the fruit it would be 12:16
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope .
    8·1 answer
  • Matthew drove 189 miles in 7 hours. If he continued at the same rate, how long would it take to travel 297 miles
    11·1 answer
  • 57 divided by 858 worked
    13·1 answer
  • Is 5/6 closer to 0,1/2,or 1
    12·1 answer
  • The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how many people there are in total.
    7·1 answer
  • 36 is _____% of 60?<br> A. 24%<br> B. 40%<br> C. 60%<br> D. 67%
    5·1 answer
  • What is the slope of this line?<br> I need help?!!
    6·2 answers
  • David swam in 312 events during the last 6 years. He swam the same number of events each year.
    15·2 answers
  • Find f (3)for f () = 5* - 12.<br> 3<br> 57<br> 113<br> 125
    9·1 answer
  • 5.<br> How many tenths are in 2 2/10
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!