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 degrees 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.

Answers

Answer 1

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:

[tex]\sin{(\frac{\pi}{2})} = 1[/tex]

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

The maximum value will occur when [tex]\sin{(\frac{\pi t}{6}}) = 1[/tex], 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 [tex]\frac{\pi}{2}[/tex]. So

[tex]\frac{\pi t}{6} = \frac{\pi}{2}[/tex]

[tex]\frac{t}{6} = \frac{1}{2}[/tex]

[tex]2t = 6[/tex]

[tex]t = \frac{6}{2} = 3[/tex]

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


Related Questions

Find the surface area of each figure to the nearest tenth.


Answers

Answer:

A≈471.24 is the surface area of the cylinder

58m^2 is the surface area of the triangular prism

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·5·10+2·π·52≈471.2389

Triangle area formula

area = 0.5 * b * h , where b is the length of the base of the triangle, and h is the height/altitude of the triangle.

4(2.5)+8(6)

10+48=58m^2

Hope this helped!!!

Por favor ayúdeme es para hoy :(

Answers

Didn’t get it. What’s this??!

Hey can you guys please help me understand. I need to find the answer to this question and my teacher explained how to do the assignment HORRIBLY. Please explain to me how you got the answer :)​

Answers

mmm  answer is 139.5 (C)

7x4.5=31.5

12x9=108

108+31.5=139.5

Answer:

A=139.5cm^2

Step-by-step explanation:

12x9=108---->Area of the rectangle A=l x w

9x7=63 divided by 2=31.5--->Area of the triangle  A=1/2 (b x h)

108+31.5=139.5cm^2

Hope this helps and can you give me brainliest pls?

What is the domain of the square root function graphed below? On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3). x less-than-or-equal-to negative 1 x greater-than-or-equal-to negative 1 x less-than-or-equal-to 0 x greater-than-or-equal-to 0

Answers

Answer:

Its D

Step-by-step explanation:

Ed2021

Answer

x greater-than-or-equal-to 0

Step-by-step explanation:

yes

Simplify fractions 7/21

Answers

Answer:

1/3

Step-by-step explanation:

7/21 = 1/3

This is because 21 & 7 are both multiples of 7. 7 / 7 = 1. 21 / 7 = 3.

That makes it 1/3.

Hope that helps! :)

Answer:1/3

Step-by-step explanation:to simplify, divide both numerator and denominator by 7

7/7=1 and 21/7=3

There are 165 deer in a state park. The population is increasing at the rate of 12% per year. Enter a prediction for how long it will take the population to reach 300. If necessary, round your answer to the nearest tenth.

The deer population will reach 300 in approximately _____
years.

Answers

The deer population will reach 309 in approximately 6 yrs


Year 1. 165•1.12=184.8
Year 2. 184.8•1.12=206.976
Year 3. 206.976•1.12=231.813
Year 4. 231.813•1.12=259.63
Year 5. 259.63•1.12=290.785
Year 6. 290.785•1.12=325.679

Therefore it will take 6 years for the deer’s population to reach 300

find the angle measure x in the following figures

Answers

The answer would be x=60

Given the set of integers 1 − 20 , what is the probability of selecting a number that is divisible by 7 ?

Answers

Answer 1/10=0.1

There are two numbers from 1-20 that are divisible by 7 (7 and 14). 2/20 reduces to 1/10. This can be represented as a decimal (0.1), but it is usually a fraction(1/10).

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

What is probability?

Probability deals with finding out the likelihood of the occurrence of an event.

It measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events.

The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

Given

Set of integers = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

The probability of selecting a number that is divisible by 7 :

We all know the 7 multiples less than 20 : 7, 14

There are 2 numbers that are divisible by 7 in the set of integers 1 - 20

Therefore, Number of favorable outcomes n(E) = 2

Total number favorable outcomes n(S) = 20

Probability is the ratio of number of favorable outcomes to total number of favorable outcomes.

[tex]P(E) = \frac{n(E)}{n(S)}[/tex]

[tex]P(E) = \frac{2}{20} =\frac{1}{10}[/tex]

Hence,

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

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What is the length of the segment connection the points that have the coordinates (-9, 8) and (2, -5) A √130 B √218 C √290 D √338

Answers

Answer:

Step-by-step explanation:

please help me.......​

Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Let's use CAH  1st  , on the Lenovo building,  b/c we  have they Hypotenuse (Hyp)  and an angle and we want to know the other side of the Lenovo building

Cos(30) = x/294

294*Cos(30) = x

254.611 = x

Sin(30) = y / 294

294*Sin(30) = y

147 = y

perimeter = 147+254.611+294

perimeter Lenovo = 695.611 feet

For Asus building

hyp = sqrt [ ( 144.5*[tex]\sqrt{2}[/tex])^2 +  144.5*[tex]\sqrt{2}[/tex])^2 )]

hyp = 289

perimeter = 289+144.5*[tex]\sqrt{2}[/tex]+144.5*[tex]\sqrt{2}[/tex]

perimeter Asus = 697.7077

The difference of the two buildings is

697.7077 -  695.611 =2.09671 feet

the difference is 2.10 feet ( rounded to nearest 100th)

Find the 8th term of the geometric sequence show below

Answers

Answer:

Alli khanaw .................

Answer:

8x^36

Step-by-step explanation:

first term (a) = [tex]8x^{8}[/tex]

Second term (t2)= [tex]8x^{12}[/tex]

common ratio (r)

= [tex]\frac{8x^{12} }{8x^{8} }[/tex]

= [tex]x^{4}[/tex]

now the 8th term of the G.S is

t8 = [tex]ar^{n-1}[/tex]

  = [tex]8x^8 * (x^4)^8^-^1[/tex]

  = [tex]8x^8 * (x^4)^7\\[/tex]

  = [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]

hope it will help

She has 12 watermelons, 30 pears, and 42 apples

For each basket Kerra makes they must have the same number of fruit.

She must use all the fruit.



What is the greatest number of baskets that Kerra can make?

Answers

Six because all can be divided by six
12/6=2
30/6=5
42/6=7

A. 93
B. 57
C. 132
D. 123

Answers

Answer:

B

Step-by-step explanation:

The interior angles of a triangle always add up to 180 degrees.

We have two angles already and they add up to 60+63=123 degrees

180-123=57

so the remaining angle is 57 degrees

9514 1404 393

Answer:

  D.  123°

Step-by-step explanation:

The external angle is equal to the sum of the remote internal angles.

  m∠1 = 60° +63°

  m∠1 = 123°


Find the volume. Round to the nearest tenth if necessary.

Answers

Answer:

1,440

Step-by-step explanation:

When you find the volume, you have to multiply all the numbers.

So in this case:

10*12*12 = 1,440

HELP! Does the pythagorean theorem work for every triangle or just for right triangles?

a. everytriangle

b. only right triangles

Answers

Answer:

This is so easy!

ONLY RIGHT TRIANGLES

Did you really ask this question?

Tip: You should learn the basics first.

NEED HELP WITH MATH

Answers

9514 1404 393

Answer:

  A.  g(x) = √(x -5), x ≥ 5

Step-by-step explanation:

You can use the definition of an inverse function to solve for g(x).

  x = f(g(x))

  x = (g(x))^2 +5

  x -5 = (g(x))^2 . . . . . subtract 5

  √(x -5) = g(x) . . . . . take the square root

The radical contents cannot be negative, so this is only defined for x-5 ≥ 0, or x ≥ 5.

  g(x) = √(x -5),  x ≥ 5

In the figure below, find the mZ6, in degrees, if m2 = 75°?
87
413
50° 2
1
56
PLEASE HELPP

Answers

Answer:

75 degrees

Step-by-step explanation:

2 and 4 are vertical angles so 4 is 75.

4 and 6 are alternate exterior angles so have same value.

6 is 75 degrees.

X-2 is a factor of f(x) = x3 – 2x2 + ax +
+18. State the remainder when f(x) divided
by x-9.

Answers

Answer:

answer is in the picture above

Answer:

remainder: 504

Step-by-step explanation:

x³ – 2x² + ax +18 = x²(x-2) - 9*(x-2)

a = -9

(x³ – 2x² - 9x +18) / (x-9) = (x² +7x + 54)(x-9) + 504   ... long division

How do you know if alternate interior angles and alternate exterior angles have the same measure?

Plz be specific..Will give BRAINLIEST!!!!!!!

Answers

Answer:

If the transversal cuts across parallel lines (the usual case) then alternate exterior angles have the same measure. So in the figure above, as you move points A or B, the two alternate angles shown always have the same measure.

Step-by-step explanation:

Hope this helps

What are the answers

Answers

Answer:

3. 5cm

[tex]4. \: {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Step-by-step explanation:

3. the hypotenuse C squared = side A squared + side B squared. So 3 × 3=9 and 4 × 4 =16 therefore 9 + 16 =25 and the square root of 25 = 5.

4. In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Hope it is helpful....

If the average rate of change 10 is greater than the average rate of change of -12.5 explain why this is incorrect?

Answers

Answer:

Step-by-step explanation:

It's the magnitude of the average rate of change that's important here.

| -12.5 | is greater than | 10 |.  The negative sign tells us that the function is decreasing on the given interval.

the ratio of pigs to cows at the farm is 16:2. If the total number of animals is 72. How many pigs are there?

Answers

Answer:

There are 64 pigs

Step-by-step explanation:

pigs: cows: total

16            2   16+2

16          2         18

There are 72 animals

72 /18 = 4

Multiply each number by 4

pigs: cows: total

16*4     2*4     18*4

64         8        72

There are 64 pigs

What is the answer to this problem?

Answers

Answer:

The volume of hemisphere = 2/3 pie r ^3

or, 18 pie = 2/3 pie r ^ 3

or, 27 = r ^ 3

or, r = 3 inches #

hope this helps

All the best!!

What type of counting problem is this?

Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?

Answers

The type of counting problem is combination with repetition.

What is combination ?

One of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.

As johnny  use a lot of condiments.

His mother tells him he may only make two additions to his meal.

He can add 2 condiments only twice, whether he already use them or not.

So, here we will use combination with repetition  because here same condiments can be added twice that is two times.

So, in how many different ways can johnny improve his meal can be determined by combination with repetition.

Learn more about combination here:

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Answer:

10

Step-by-step explanation:

Please see attached pic

Answers

Answer:

D is the correct answer.

Step-by-step explanation:

-Subtract final value by start value

-Divide by start value

-Multiply by 100

Answer:

33%

Step-by-step explanation:

Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help? ​

Answers

Answer:

9=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x²-9x+7=0

2x²-9x=-7

x²-9/2 x +(-9/4)²=-7+(-9/4)²

(x-9/4)²=-7+81/16=(-112+81)/16=-31/16

(x+(-9/4))²=-31/16

Determine the equation of this circle. *

Answers

Answer:

b is correct center of circle is x=4 y=-2

radius = 3

Three methods for teaching mathematics to first graders are to be compared. Ten students are
randomly assigned to each of the methods, and the score on a quiz is recorded. What are the
response and treatment for this experiment?

Answers

Answer: The three methods are the treatments and the response is the score achieved on the quiz.

Step-by-step explanation:

The three techniques are the treatments, and the results are the final score.

what is response variable in the experiment?

The researcher predicts that a variable will change if the controlled variable changes; this variable is known as a responsive variable. A dependent variable is another name for a responsive variable.

Solution:

Three methods are assigned for teaching mathematics.

Randomly ten students are assigned to each of the method.

There scores are then recorded on a quiz.

It is clear that the response will be the score card of the students either scoring high marks or not being able to clear it.

And the treatments are three for if the student is not able to understand any of the method.

Hence the three methods serve as treatments, and the outcomes determine the final grade.  

Learn more about "Logical reasoning questions" here-

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Find the probability of a choosing a student that is taking a foreign language, given that the student is playing a sport using the Venn Diagram below.

Answers

Answer:

7/25

Step-by-step explanation:

In simpler words, the problem wants us to find the probability of choosing a student that both play a sport and takes a foreign language.

To find this, we need to locate the intersection in the Venn diagram which is

14.

The intersection represents the number of students that both play a sport and take a foreign lang.

We have our favorable outcomes of 14.

Our total outcomes can be found by adding all the numbers like so:

23+14+10+3=50

The theoretical probability theorem is:

Number of favorable outcomes/number of total outcomes.

So our answer is 14/50, or simplified as 7/25!

Hope it helps! :))

Please help me but no links

Answers

Answer:

I think you got to time it all togther and the answer would be 531.44m^3

Step-by-step explanation:

(5.2×7×14.6)mmm

(36.4×14.6)mmm

531.44m^3

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