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
Andrews [41]
3 years ago
10

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 64 and 26 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:
Nady [450]3 years ago
5 0

Answer:

D = 45+19*sin(\frac{\pi}{12}*t)

Step-by-step explanation:

The amplitude (A) and the mean (M) temperature are given by:

A=\frac{64-26}{2}\\ A= 19\\M=\frac{64+26}{2}\\ M= 45\\

The mean temperature, 45 degrees. occurs at midnight (t=0) and the frequency is f=24h. Therefore, the temperature D, in degrees, as a function of t, in hours, is:

D = M+A*sin(\frac{2\pi}{24}*t)\\D = 45+19*sin(\frac{\pi}{12}*t)

You might be interested in
Accounting Question
Romashka [77]
B inventory
Add purchase
Add fright inward

Total amount to be account for
Less E inventory
7 0
3 years ago
Calculate 7x +5 - 3x - 7 = 10
vredina [299]

You answer is 3 and here's why...

7x + 5 - 3x - 7 = 10

First you must collect like terms

And that gives us

4x - 2 = 10

Next you must simplify by removing additives

4x - 2 + 2 = 10 + 2

4x = 12

Now you must divide

4x/4 = 12/4

x = 3

6 0
3 years ago
Read 2 more answers
Christov and Mateus gave out candy to children on Halloween. They each have out candy at a constant rate, and they both gave awa
padilas [110]

Answer: 1) Both gave same number of candies to each child.

2) Christov gave candy to a greater number of children.

Step-by-step explanation:

Since, Christov initially had 300 pieces of candy, and after he was visited by 17 children, he had 249 pieces left.

Let he gave x candy to each student when he visited 17 children.

Then, 17 x + 249 = 300

⇒ 17 x = 51

⇒ x = 3

Since, he distributes candies in a constant speed.

Therefore, his speed of distribution = 3 candies per child

Now,The function that shows the remaining number of candies Mateus has after distributing candies to n children,

C(n)=270 - 3 n

Initially, n = 0

C(0) = 270

⇒ Mateus has initial number of candies = 270

When he gave candies to one child then remaining candies = 270 - 3 × 1 = 267

Thus, the candies, get by a child from Mateus = 270 - 267 = 3

Since, he distributes candies in a constant speed.

⇒ His speed of distribution = 3 candies per child

1) Therefore, Both Christov and Mateus have same speed of distribution.

2) Since, both have same seed.

⇒ The one who has greater number of candies will be distribute more.

⇒ Christov will give more candies.


8 0
3 years ago
Which of the following best describes how to use of the addition property of equality to isolate the variable x below?. . 5 = x
sergiy2304 [10]
<span>The best answer is C.add 2 to both sides of the equation.
</span>5=x-2
5+2=x-2+2
7=x-0
x=7
5 0
3 years ago
In ΔVWX, \text{m}\angle V = (7x-1)^{\circ}m∠V=(7x−1) ∘ , \text{m}\angle W = (4x+16)^{\circ}m∠W=(4x+16) ∘ , and \text{m}\angle X
Anika [276]

Answer:

m∠X= 22°

Step-by-step explanation:

In ΔVWX:

m∠V=(7x−1) ∘

m∠W=(4x+16) ∘ ,

m∠X=(3x−17) ∘ . Find M∠X.

Step 1

We find the variable x

The sum of angles in a triangle is 180°

Hence,

ΔVWX = m∠V + m∠W +m∠X

180° = (7x - 1)° + (4x + 16)° + (3x - 17)°

180° = 7x - 1 + 4x + 16 + 3x - 17

180° = 7x + 4x + 3x - 1 + 16 - 17

180° = 14x -2

Collect like terms

180° + 2 = 14x

182° = 14x

x = 182°/14

x = 13°

Step 2

We find m∠X

m∠X = (3x−17) ∘

x = 13

m∠X = (3 × 13 − 17)°

m∠X = (39 − 17)°

m∠X = 22°

5 0
2 years ago
Other questions:
  • PLEASE HELP!!!<br><br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7Bx-6%7D%20%3D%20%5Cfrac%7B3%7D%7Bx-10%7D" id="TexFor
    10·2 answers
  • Mary made 5 different sandwiches: turkey, roast beef, ham, bologna, and salami Mary wrapped the sandwiches and placed them into
    12·1 answer
  • Urgent!!
    12·1 answer
  • What is the importance of function in real life?
    14·2 answers
  • What is the approximate area of the circle shown below 60cm
    15·2 answers
  • a banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diam
    10·1 answer
  • Find the value of x.
    6·2 answers
  • Use the given property to complete the statement
    7·1 answer
  • A baby blue whale weighed 5520 pounds at birth. After two days, the baby weighed 5710. After 14 days, the baby weighed 8180 poun
    10·2 answers
  • PLEASE HELP WITH DIRECTIONS ON THIS PROBLEM, MAJOR MATH GRADE The sides of a pyramid measure 114 feet. My question is does each
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!