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
Tema [17]
3 years ago
10

The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in deg

rees Fahrenheit in Centerville.
b.) What is the maximum high temperature and when does this occur?

NOTE: I found the answer online, I just don't understand how to get there. It's July 15, 85 degrees.
Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer:

The maximum temperature will be of 85 degrees, on July 15.

Step-by-step explanation:

Sine function:

The sine function oscilates between -1 and 1, and it's maximum value is:

\sin{(\frac{\pi}{2})} = 1

y=60+25sin(pi/6)t

The maximum value will occur when \sin{(\frac{\pi t}{6}}) = 1, and it will be of 60 + 25 = 85 degrees.

When will it occur?

First we find the value of t for which the value inside the function sine is \frac{\pi}{2}. So

\frac{\pi t}{6} = \frac{\pi}{2}

\frac{t}{6} = \frac{1}{2}

2t = 6

t = \frac{6}{2} = 3

That is the number of months after April 15, which is 3 months. So July 15.

You might be interested in
A corner store sells two kinds of baked goods: cakes and pies. A cake costs $4 and a pie costs $6. In one day, the store sold 9
Troyanec [42]

Answer:

the number of cakes sell is 5

Step-by-step explanation:

The computation of the number of cakes sold is shown below;

Let us assume

The cake be C

And, the pie cost be P

Given that

There is two types of baked goods sold

The cost of the cake is $4

And, the cost of the pie cost is $64

Now the store sold 9 baked goods for a total of $44

So, the equation would be

C + P = 9

P = 9 - C ...... (1)

4C + 6P = 44............(2)

Now put the value of P in equation 2

4C + 6(9 - C) = 44

4C + 54  - 6C = 44

-2C = -10

C = 5

And, P = 4

hence, the number of cakes sell is 5

8 0
3 years ago
You buy a car for $8,000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?
goblinko [34]
The correct answer for this question would be about $4,467.2 according to my estimation.

If it’s not correct, I’m sorry, but if it is, please mark the brainliest!!
8 0
2 years ago
a mail distribution center processes as many as 180 000 pieces of mail each day. the mail is sent via ground and air. each land
Kamila [148]
X - the number of loads by land carriers,
y - the number of loads by air carriers;
The system of inequalities:
x + y ≤ 150
2,000 x + 1,250 y ≤ 180,000
8 0
3 years ago
Read 2 more answers
Seventy four point three times five point four​
kherson [118]

401.22

Hope this helps!

May I have brainliest please? :D

8 0
2 years ago
Read 2 more answers
Graph h(x)= -4(x-3)(x-1)
ExtremeBDS [4]

Answer:

roots (1,0) (3,) the vertical intercept is (0,-12)

Step-by-step explanation:

5 0
1 year ago
Other questions:
  • Payment history is ____ of your credit score.
    6·2 answers
  • The sum of two numbers is 67 . The smaller number is 11 less than the larger number. What are the numbers?
    5·2 answers
  • Consider the expression 63 + 81.
    9·2 answers
  • The point (4, 5) is translated two units left and eight units down. What is the y-coordinate of the image?
    14·2 answers
  • 55 36/72 rounded to the nearest whole number
    13·1 answer
  • NEED HELP ASAP I believe the answer is C but I’m not sure
    15·2 answers
  • What is the Interquartile Range (IQR) of the pumpkin weights? <br> a) 10<br> b) 4<br> c) 15<br> d) 8
    7·2 answers
  • Evaluate 10m +<br> when m = 5 and n = 4.
    10·1 answer
  • There are two types of tickets sold at the Canadian Formula One Grand Prix race. The price of 5 grandstand tickets and 3 general
    5·2 answers
  • USING ALGEBRA TILES Write the sum of the two algebraic expressions modeled by the algebra tiles. Let x be the variable. Then use
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!