The average high temperature during the hottest month in Beijing, China, is 72°F. The average high temperature during the coldest month in Beijing is 18°F. The function 1 =27 cos( π/6(m-6)) +45, where m represents the number of months after January, models the temperature throughout the year in Beijing. During which monke in the year would the temperature reach 55°F?
- August
- September
- November
- December

(it'll be SEPTEMBER, i just couldn't find the answer for it anywhere else, so here ya gooo.)

Answers

Answer 1

Answer:

- September

Step-by-step explanation:

The temperature in Beijing, in m months after January, is given by the following equation:

[tex]T(m) = 27\cos{((\frac{\pi}{6})(m-6))} + 45[/tex]

In which m is the number of months after January.

During which month in the year would the temperature reach 55°F?

We have to find m for which: T(m) = 55. So

[tex]T(m) = 27\cos{((\frac{\pi}{6})(m-6))} + 45[/tex]

[tex]55 = 27\cos{((\frac{\pi}{6})(m-6))} + 45[/tex]

[tex]27\cos{((\frac{\pi}{6})(m-6))} = 10[/tex]

[tex]\cos{((\frac{\pi}{6})(m-6))} = \frac{10}{27}[/tex]

Now, we apply the inverse cosine, on both sides of the equation, to find the value of m.

[tex]\cos^{-1}{\cos{(\frac{\pi}{6})(m-6)}} = \cos^{-1}{\frac{10}{27}}[/tex]

Now, with the help of a calculator, in radians:

[tex]\frac{\pi}{6}(m-6) = 1.19[/tex]

[tex]\pi m - 6\pi = 6*1.19[/tex]

[tex]\pi m = 6*1.19 + 6 \pi[/tex]

[tex]m = \frac{6*1.19 + 6 \pi}{\pi}[/tex]

[tex]m = 8.27[/tex]

8.27 months after January, since 8.27 + 1 = 9.28, it happens during the month of September.

Answer 2

Answer: September

Step-by-step explanation:

Edge


Related Questions

Find the length and width of rectangle DMLG, and calculate its area.

PLZ CACULATE ITS AREA PLZ!!

Answers

Answer:240 square feet

Step-by-step explanation:length of rectangle DMLG

= DM = LG = (25 + 5) = 30 feet

width of rectangle DMLG

= ML = 8 feet

area of rectangle DMLG

= length × width

= 30 × 8

= 240 square feet

Answer: length of rectangle DMLG

= DM = LG = (25 + 5) = 30 feet

width of rectangle DMLG

= ML = 8 feet

area of rectangle DMLG

= length × width

= 30 × 8

= 240 square feet

wish that helped :)

Step-by-step explanation:

A theater sells t tickets at a price of p dollars each. The theater conducts a survey and predicts that if the price of each ticket is changed by $2, the number of tickets sold will change by 15 tickets. If n is the number of times the theater changes the ticket price by $2, the expression (p+ 2n) (t-15n) can represent the theaters's total revenue, in dollars. In this expression, what does (t-15n) represent?

A. the number of tickets that the theater will sell If the ticket price is increased by $2

B. the number of tickets the theater will sell if the ticket prices increased by $2n

C.the number of tickets the theater will sell if the ticket price is decreased by $15​

Answers

Answer:

B

Step-by-step explanation:

You have to look at the second term to be sure of the meaning of t - 15n

What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.

The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.

C is out of the question. The information talks about 2 dollars per increase which is the first term.

A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)

The answer is B

Answer:

The answer is B

Step-by-step explanation:

拜託華人救我
我完全不懂這問題
可以幫我嗎?
明天需要提出的作業
謝謝​

Answers

Answer: 謝謝

Step-by-step explanation:

can y’all help me please I will mark you brainlist

Answers

Answer:

C: 22

Step-by-step explanation:

So for this problem, I have a very simple method to solve it. Just count the squares. It's as easy as that. The number of full squares I counted were 18, and I saw a little bit here and there, so I rounded the extra pieces to 22.

3. ¿Cuál es el peso de un (dm) de agua?

Answers

La densidad es una magnitud física que se refiere a la relación que hay entre la masa y el volumen de una sustancia, es decir, la cantidad de materia que tiene un cuerpo en una unidad de volumen, o para hacerlo más sencillo, la acumulación de una gran cantidad de elementos o individuos en un espacio determinado.

Para los líquidos y los sólidos, la densidad de referencia habitual es la del agua líquida de 1 kg/dm³, esto quiere decir que 1 kg de agua tiene un volumen de 1 dm³, por tanto, podemos determinar el peso de 1 cm³ de agua de la siguiente manera:

En 1 kg de agua ---> Hay 1 dm³ de volumen

Si... 1000 g (Que equivalen a 1 Kg) ---> 1000 cm³ (Que equivalen a 1 dm³)
X ---> 1 cm³

X = 1 cm³ x 1000 g ÷ 1000 cm³
X = 1 g

Por tanto, si el agua es lo suficientemente pura para tener una densidad de 1 Kg/dm³, el peso de 1 cm³ de agua es de 1 gramo.

if you don't know the answer to one of the problems you can just answer how every many you know and btw ill mark you!!

Answers

1. Have spinal cords 2.snakes and sharks 3.have live baby’s I’m pretty sure u have them all right good job

Answer:

#2 is correct.

#3 is correct, mammals are vertebrates, which means cows counts, also frogs, since they have to jump a lot, they have 10 vertebrae. Also, hawks, since they're vertebrates, and all vertebrates have backbones.

$4 is correct.

If you like my answer, please mark me brainliest.

Determine the vertex of the function f(x)=2(x+1)(x+7). You must show all algebraic steps for full marks

Answers

Answer:

vertex (-4,-18)

Step-by-step explanation:

f(x)=2(x+1)(x+7)

f(x)=2(x^2+8x+7)

f(x)=2x^2+16x+14

f(x)=2(x^2+8x)+14

f(x)=2(x^2+8x+4^2-4^2)+14

f(x)=2(x^2+8x+4^2)+2(-4^2)+14

f(x)=2(x^2+8x+4^2)+2(-4^2)+14

f(x)=2(x^2+8x+4^2)-18

f(x)=2(x+4)^2-18

vertex form:

f(x)=a(x-h)^2+k

h=-4

k=-18

vertex (-4,-18)

Help asap plsssssssss​

Answers

I really don’t now but give me a like plz

Which statement best describes the relationship between x and y in the graph?







y is two more than x.





y is one half of x.





y is two less than x.





y is twice x.

Answers

Y is 2 less than X because one point of the graph is (0,2), and 2 is greater than 0.

PLEASE HELP DUE IN 40 MINS!! Using the Law of Sines, find the exact answer for x.
45°
X
30°
12

Answers

Answer:

Step-by-step explanation:

Sin(30) / X  = Sin(45) / 12

use algebra to isolate X

1 / X = [ Sin(45) / 12  ]   /  Sin(30)

flip both sides

X =  Sin(30) / [Sin(45) /12 ]

invert the denominator on the right side

X = Sin(30) *  12/ Sin(45)

Do you know what Sin(30) is off the top of your head?

and also Sin(45) ?

these are worth remembering... and you can b/c they are just

sin(0) = 0/2

sin(30) = 1 / 2

sin(45) = [tex]\sqrt{2}[/tex]/2

sin(60)= [tex]\sqrt{3}[/tex] / 2

sin(90) = [tex]\sqrt{4}[/tex] / 2    (aka 1)

note the numerators just counts up  0, 1, 2, 3, 4  :)  

Cos works the same way but counts from 90° back to 0 but exactly like sin other wise, hence why Cos and Sin both = [tex]\sqrt{2}[/tex]/2 at 45 °

anyway

X =  1 / 2 * 12/ [tex]\sqrt{2}[/tex]/2

X = 3[tex]\sqrt{2}[/tex]

A=3

B= 2

:)  nice , huh

PLEASE ANY HELP I NEED HELP

Answers

Answer:

(3×6) -1+4

18+3

21 is your answer ☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

I have a few question:
Calculate the following (compound annually): $62,500 at 3.4% for 3 years, calculate the following (compounded annually): $5,000 at 1.5% for 4 years, Calculate the following using simple interest:$2,000 at 7.8% for 15 years, and lastly, Calculate the following at 1.8% for 8 years. (please show me how you did it step-by-step)

Answers

Step-by-step explanation:

simple interest

I=prt

I= 2000×(7.8/100)×15

I=2340

A number to the third power

Answers

squared is to the second power, cubed is to the third power "³"

Which is a perfect square?
6^1. 6^2. 6^3. 6^5​

Answers

Answer:

It should be 6^1.

Step-by-step explanation:

Because 6^1= 1 and 1 * 1= 1 which makes it a perfect square

:)

6^1 would be prefect I thin

fsfdaaffsfsad 598 × 4

Answers

Answer: 2,392

Step-by-step explanation:

Answer:

2392

Step-by-step explanation:

Guys Why have teachers not been active ??​

Answers

Answer:

Pandemic

Step-by-step explanation: Teachers are socially distancing

Answer:

OH OH idek maybe something happen 0-0

quickly Solve for k pls

Answers

Step 1 you need to cross multiply
Then divide both sides by eight which will then give you this answer

K= 3/2

Answer:

its 6

Step-by-step explanation:

its the fraction before they simplified it.

2. The average human heart beats 60 beats per minute. How many times does a heart
beat in one year?

Answers

Answer:

31536000

Step-by-step explanation:

if the average heart beats 60 beats per minute and there are 525600 minutes in a year multiply

Answer:

Children (ages 6 - 15) 70 – 100 beats per minute. Adults (age 18 and over) 60 – 100 beats per minute.

can somebody help me

Answers

7x4=28.
3x4=12
———
40 cups
28 mango and 12 cranberry

A pair of shoes originally costs $60. They are on sale for 25% off and sales tax is 7%. Cost is calculated by first applying the discount, then sales tax.

What is the total cost of shoes including tax?​

Answers

Answer:

$48.15

Step-by-step explanation:

60.00 x 25% = $15.00

60.00 - 15.00 = $45.00

45.00 x 7% = $3.15

45.00 + 3.15 = $48.15

On Monday in Minneapolis,Minnesota it’s was 0°F outside. On Tuesday it’s was 15 degrees colder. What was the temperature and Tuesday?

Answers

Answer:

-15º F.

Step-by-step explanation:

Given that on Monday in Minneapolis, Minnesota it’s was 0 ° F outside, while on Tuesday it was 15 degrees colder, to determine what was the temperature on Tuesday the following calculation must be performed:

0 - 15 = X

-15 = X

Thus, the temperature on Thursday was -15º Fahrenheit, which is equal to -26.11º Celcius.

I need help I will mark brainiest no spam or report

Answers

Answer:

C

Step-by-step explanation:

Hey There!

The range is subtracting the highest value from the lowest value

the highest in the set is .87 and the lowest is .05

so we subtract

.87-.05=.82 so the range is .82

I need help plsssss ASP​

Answers

Answer:

(From up to down)

1st box: 18

2nd box: 5

3rd box: 2

Answer:

x      y

9      18

5      10

1       2

Step-by-step explanation:

have a nice day!!

The table shows two samples of fish from a pond. If 400 fish are in the pond, which proportion represents the average number of bass you would expect to live in the pond?
(A)StartFraction 14 over 20 EndFraction = StartFraction x over 400 EndFraction
(B)StartFraction 7 over 20 EndFraction = StartFraction 400 over x EndFraction
(C)StartFraction 7 over 20 EndFraction = StartFraction x over 400 EndFraction
(D)StartFraction 20 over 40 EndFraction = StartFraction x over 400 EndFraction

Answers

Answer:

is C

Step-by-step explanation:

because if u do the problem and the fraction it will give u that answer

Answer:

monse856 is right

Step-by-step explanation:

I need help please :(​

Answers

Answer:

Brainliest??!!!

Step-by-step explanation:

Which of the following points would not lie on the line y=7
(1) (-2,7)
(3) (0,7)
(2) (7,-1)
(4) (5,7)

Answers

The answer is the point that does not have y equal to 7.

Note: (x, y) = (7, -1)

The point (7, -1) shows an x-value of 7 and a y-value of -1.

Answer: (7, -1).

Help mee!! I will give brainliesttt

Answers

Answer:

c = 12

Step-by-step explanation:

the ratio of sides in a 30-60-90° triangle, respectively, is 1: [tex]\sqrt{3}[/tex] : 2

if side opposite 30° is 6 then hypotenuse equals 12

edit question_ stats

Answers

wait what is there a question

an athlete eats 55g of protein per day while training. how much protein will she eat during 17 days or training?

Answers

Answer:

935 grams

Step-by-step explanation:

1 day = 55 grams

17 days = 55 x 17 = 935 grams

A map represents every 4 miles with 1 inch. If a school and a bank are actually 12 miles apart, how far apart are they on the map? A . 3 B. 4 C. 7. D . 8

Answers

Answer:

Step-by-step explanation:

12mi(1in/4mi)=3in

Answer:

A) 3

Step-by-step explanation:

4/1=12/x

4/1=4

4=12/x

x=12/4

x=3

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