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]
2 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]2 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
Find the equation of the line that has slope of 7 and passes through the point (-9,2).
lawyer [7]

Answer:

y=7x+65

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-9,2) and has a slope of 7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 7. So you can right away fill in the equation for a line somewhat to read:

y=7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-9,2). When x of the line is -9, y of the line must be 2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,2).

So, why not plug in for x the number -9 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-9,2). y=mx+b or 2=7 × -9+b, or solving for b: b=2-(7)(-9). b=65.

The equation of the line that passes through the point (-9,2) with a slope of 7

is

y=7x+65

Have a nice day!

5 0
2 years ago
A shadow 60 meters long is cast by a stone tower that is 32 meters tall. If a cedar tree close
hjlf

Answer:

107

Step-by-step explanation:

you will add 60 + 32 +15 = 107 that is how i got the answer

6 0
2 years ago
Matthew is 3 times as old as jenny. in 7 years, he will be twice as old as she will be then. how old is each now? Explain how to
Nataliya [291]

Let m and j be the current ages of Matthew and Jenny, respectively.

Now, Matthew is 3 times as old as Jenny, so the variables are in the following relation:

m=3j

In 7 years, both of them will be 7 years older, i.e. their ages will be m+7 and j+7, and Matthew will be twice as old:

m+7=2(j+7)

Now, remembering that m=3j, we can rewrite the second equation as

3j+7=2j+14 \iff j = 7

So, Jenny is 7 and Matthew is 21 (he's 3 times older).

In fact, in 7 years, they will be 14 and 28, and Matthew will be twice as old.

7 0
2 years ago
H(j + i) - k5 + h<br> when h = 3, i = 4, j = 2, and k = 1<br> pls put how you did it
VikaD [51]

Answer:

16

Step-by-step explanation:

First you want to plug in all the numbers where the letters are

h ( j + i )- k(5) + h

3 ( 2 + 4 )- 1(5) + 3

After this step you will have to distribute the 3 outside the parenthesis. Which you do by multiplying everything in side the parenthesis by the outside number which is three.

6 + 12 - 1(5) + 3

Then you just follow PEMDAS to solve for the rest

6 + 12 - 5 + 3

18 - 5 + 3

13 + 3

16

6 0
2 years ago
Solve the given equation for v.
vaieri [72.5K]

Answer:(3t)^2

Step-by-step explanation:

Steps below

4 0
2 years ago
Other questions:
  • Joseph invested $16,000 in an account paying an interest rate of 5.7% compounded continuously. Assuming no deposits or withdrawa
    13·1 answer
  • Need this one giving lots of points b/c im lazy and i have a headache
    6·1 answer
  • A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54 . What is the volume of the dilated prism? E
    7·1 answer
  • The sum of the angle measures of a polygon with s sides is 2880. Find s. A. 20 B. 16 C. 17 D. 18
    8·1 answer
  • Which of the following is a rational number?
    10·2 answers
  • 4. Solve. x² – 81 = 0 (1 point) 0 –9 –9, 9 9
    13·2 answers
  • Geometry review: Which term can be defined as lines in the same plane
    8·2 answers
  • I need help please with unit rates
    13·2 answers
  • Here's a graph of a linear function. write the equation that describes that function.
    5·1 answer
  • 6. Find the value of x.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!