The length of the day in Lagos, Nigeria (in minutes), ttt days since the beginning of the year can be estimated by this formula: \qquad L(t) = 727+22\sin \left(\dfrac{2\pi (t - 80.75)}{365}\right)L(t)=727+22sin( 365 2π(t−80.75) ​ )L, left parenthesis, t, right parenthesis, equals, 727, plus, 22, sine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 80, point, 75, right parenthesis, divided by, 365, end fraction, right parenthesis. When is the longest day of the year? Give an exact answer.

Answers

Answer 1

Answer:

The longest day of the year is day 172  

Step-by-step explanation:

Since the length of day is L(t)=727+22sin[2π(t−80.75)/365], the maximum length of day is obtained when sin[2π(t−80.75)/365] is at its maximum value which is 1. So. sin[2π(t−80.75)/365] = 1

We now solve this to find the day at which this maximum value occurs.

sin[2π(t−80.75)/365] = 1

[2π(t−80.75)/365] = sin⁻¹(1)

[2π(t−80.75)/365] = π/2

dividing both sides by 2π/365, we have

[2π(t−80.75)/365] ÷ 2π/365 = π/2 ÷ 2π/365

t−80.75 = 365/4

t−80.75 = 91.25

t = 91.25 + 80.75

t = 172

The longest day of the year is day 172

Answer 2

Answer:

172

Step-by-step explanation:

Keep in mind, that when graphed one of the "tallest" points is 172,749. Using this, you'll find that 172 is the tallest


Related Questions

Ms. Swanson and 2 neighbors purchased a lawnmower to share. The lawnmower costs​ $358.40. Describe how you can estimate each​ person's share of the cost.

Answers

358.40 divider by 3 equals 119.467. So your answer would be $119.467
358.40/3

they each paid about $120

A)4(3х+4)
B)- 60(-7 х - 3)
With solution please
Urgent

Answers

happy with solution rate this

Step-by-step explanation:

A) distribute: 12x +16 = 0; 12x/12 = -16/12

x = -4/3

B) distribute: 420x +180 = 0; 420x/420 = -180/420

x = -3/7

Hope this helps! :)

An event called __ if the probability it will occur equals 1, plz help im dying (it has 7 letters)

Answers

Answer:

"certain"

Step-by-step explanation:

by definition, any event with a probably of 1 is defined as certain (i.e certain to happen)

by contract any even with a probably of 0 is defined as impossible (i.e impossible to happen)

Paolo is putting a fence around his pool. The length of the pool is 20 feet, the width is (20 minus x) feet, and the area of the pool is 300 square feet. Recall that area is length multiplied by width. The equation below models the area of the pool. 20 (20 minus x) = 300 What is the value of x? Round to the units place. 5 8 15 35

Answers

Answer:

The value of x = 5

Step-by-step explanation:

Length of the pool = 20 feet

Width of the pool = (20 minus x) feet

Area of the pool = 300 square feet

Area of a rectangular pool = length × width

300 = 20 (20 - x)

300 = 400 - 20x

Subtract 400 from both sides

300 - 400 = 400 - 20x - 400

- 100 = - 20x

Divide both sides by -20

x = -100/-20

= 5

x = 5

The value of x = 5

Answer:

a. 5

Step-by-step explanation:

30% of $40 is ?
How much money $?

Answers

Answer:

30 percent of 40 dollars is

12 dollars.

Determine the missing angle in each triangle.

Answers

Answer:

45

23

104

49

Step-by-step explanation:

45, 23, 104, 49 would be the answers

-3+-12 - (11+4--2)
Answer quick please I need to do four operations with rational numbers and showing all steps

Answers

Answer:

-32

Step-by-step explanation:

-3 + -12 - (11+4 - -2) = -3 + -12 - (17) = -3 + -12 -17 = -32

Answer : -32

Jamie did some push ups on Monday and Tuesday

Answers

Answer:

what would you like?

More information needs to be provided.

can someone please help?

Answers

Answer:

The answer is in the explaination

Step-by-step explanation:

A + B = 180 degrees

14x - 72 = 180

14x = 108

x = 8

A = 5 times 8 plus 20

A = 60

Answer:

110 degrees.

Step-by-step explanation:

Angle A + Angle B = 180 degrees.

Therefore, 5x+20+9x-92=180

When you solve you get 14x=252 or x=18

When you plug that into A you get 5(18)+20=110

Therefore, A=110 degrees

NEED RN, WORTH 30! ~ please and thank you! <3

Answers

1/4x-4 so the second one

A line includes the points (-39,49) and (0,0). What is its equation in slope-intercept form?

Answers

Answer:

The equation in the slope-intercept form will be:

[tex]y=-\frac{49}{39}x+0[/tex]

Step-by-step explanation:

Given the points

(-39,49) (0,0)

Finding the slope between the points using the formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-39,\:49\right),\:\left(x_2,\:y_2\right)=\left(0,\:0\right)[/tex]

[tex]m=\frac{0-49}{0-\left(-39\right)}[/tex]

[tex]m=-\frac{49}{39}[/tex]

We know that the point-slope of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting [tex]m=-\frac{49}{39}[/tex] and (-39,49)  in the equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)[/tex]

Now writing the equation in slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

[tex]y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)[/tex]

[tex]y-49=\frac{-49}{39}\left(x+39\right)[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]y-49=-\frac{49}{39}\left(x+39\right)[/tex]

[tex]\mathrm{Add\:}49\mathrm{\:to\:both\:sides}[/tex]

[tex]y-49+49=-\frac{49}{39}\left(x+39\right)+49[/tex]

[tex]y=-\frac{49}{39}x+0[/tex]              ∵ [tex]y=mx+b[/tex]

Where

[tex]m=-\frac{49}{39}[/tex] and the y-intercept i.e. [tex]b=0[/tex]

Therefore, the equation in the slope-intercept form will be:

[tex]y=-\frac{49}{39}x+0[/tex]

Which grach remesents an odd function

Answers

If you turn the graph upside down, it looks the same. The example shown here, f(x) = x3, is an odd function because f(-x)=-f(x) for all x. For example, f(3) = 27 and f(–3) = –27.

PLEASEE HELPP WILL MARK BEAINLIEST
Write an equation in point-slope form of the line that passes through the two points given. Use the
first point to write the equation.

1.) (4,7) and (5,1)

2.) (9,-2) and (-3,2)

3.) (3,-8) and 7(-2)

Answers

Answer:

1. 9.8

2. 3.8

3. -19

Hope it helps :)

1. Y = -6x + 31
2. Y = -1/3x + 1
3. Y = 3/2x - 25/2

solve the following

1) what should be the sum when the greatest two digit number is added to the smallest 3 - digit number ? ___________

2) what is the difference between greatest 3 digit number and smallest 3 digit number ? _____________

can anyone answer this tow question
ಠ︵ಠ​ please

Answers

Answer:

1) 199

2) 899

Step-by-step explanation:

1)

The 2-digit number is the number formed from unit-digit and ten-digit

∵ The greatest digit is 9

→ To form the greatest 2-digit number use 9 as ten-digit and unit-digit

The greatest 2-digit number is 99

The 3-digit number is the number formed from unit-digit, ten-digit, and hundred-digit

∵ The smallest digit is 0

→ To form the smallest 3-digit number use 0 as ten-digit and unit-digit,

   we can not use 0 for the hundred-digit so use 1 as hundred-digit  

The smallest 3-digit number is 100

∵ The sum of them = 99 + 100

Their sum is 199

2)

→ To form the greatest 3-digit number use 9 as hundred-digit, ten-digit,

   and unit-digit

∴ The greatest 3-digit number is 999

∵ The smallest 3-digit number is 100

∵ The difference between them = 999 - 100

The difference between them = 899

SOLVE THIS PLEASE

Nice
Impressive
Great
Golden
Eager
Respectible

Answers

omg i just understood it-

A correlation coefficient of -1 would be considered...

Answers

Step-by-step explanation:

Correlation coefficient is a quantitative measure used to determine the statistical relationships between two or more random variables or observed data values. Here -1.0 states the perfect negative correlation, while 1.0 states the perfect positive correlation. ...

please help this is due soon 2

Answers

4.) is 3. Acute

5.) is 4. 77°

i need help on this now plz

Answers

Answer:

-7

Step-by-step explanation:

Answer:

x= -7

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

Which relation graphed below is a function?

Answers

Answer:

C is a function, D is not.

Step-by-step explanation:

What percent of 47.9 is 11?
A)4.4%
B)435.5%
C)148%
D)23%

Answers

Answer:

4.4%

Step-by-step explanation:

47.9 divided by 11 is 4.3545454545...

Round the 4.35454545.. to the closest

This is 4.4 percent

A bank gives two dollars in eastern caribbean currency for one united states dollar. Given 1% tax is charged on all foreign exchange transactions, calculate the amount in ec currency which a tourist receives in exchange for us 1200

Answers

Answer:

A tourist receives 2376 ec currency in exchange for us 1200.

Step-by-step explanation:

This can be calculated as follows:

Tax rate = 1%

Amount of us currency = 1200

Total amount of ec currency = Amount of us currency * 2 = 1200 * 2 = 2400

Amount of tax = Total amount of ec currency * Tax rate = 2400 * 1% = 24

Net amount of ec currency = Total amount of ec currency - Amount of tax = 2400 - 24 = 2376

Net amount ec currency obtained above is the amount of ec currency which a tourist receives in exchange for us 1200.

Therefore, a tourist receives 2376 ec currency in exchange for us 1200.

6th grade math i mark as brainliest​

Answers

Answer:

Solving [tex]6^2-(1.1+7.4)+1.5[/tex] we get [tex]\mathbf{29}[/tex]

Step-by-step explanation:

We need to solve:

[tex]6^2-(1.1+7.4)+1.5[/tex]

First solving brackets

[tex]=6^2-(8.5)+1.5\\=6^2-8.5+1.5\\[/tex]

Now solving 6^2

[tex]=36-8.5+1.5\\[/tex]

Now subtracting 8.5 from 36

[tex]=27.5+1.5[/tex]

Now adding the above values

[tex]=29[/tex]

So, solving [tex]6^2-(1.1+7.4)+1.5[/tex] we get [tex]\mathbf{29}[/tex]

Answer:

no

Step-by-step explanation:

Which number is divisible by 5 and 10?

A.24503
B.24305
C.23450
D.23405

Answers

Answer:

C

Step-by-step explanation:

a number is divisible by 5 if it ends in 5 or 0

since we know that, we know that A is not correct.

a number is divisible by 10 if it ends in 0

from this, we can see that C is the correct answer because it ends in a 0

answer=c

hope this helps!

please mark as brainliest if you can, I need to level up :)

A machine costs 7500. Its value decreases by 5% every year due to usage. what will be its price after 1 year?​

Answers

Answer:

12000 will be the price of machine after 1year.

Step-by-step explanation:

As i got.

Please help! Thanks!!

Answers

Answer:

x=12

Step-by-step explanation:

(2x-4)/5=4

We move all terms to the left:

(2x-4)/5-(4)=0

We multiply all the terms by the denominator

(2x-4)-4*5=0

We add all the numbers together, and all the variables

(2x-4)-20=0

We get rid of parentheses

2x-4-20=0

We add all the numbers together, and all the variables

2x-24=0

We move all terms containing x to the left, all other terms to the right

2x=24

x=24/2

x=12

Answer:

x = 12

Step-by-step explanation:

Given

[tex]\frac{2x-4}{5}[/tex] = 4 ( multiply both sides by 5 to clear the fraction )

2x - 4 = 20 ( add 4 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

:'( NEED HELP NOWWW ok so its 3/4h x 19mi/ 1/4h I'm failing in math so pls help.would appreciate it

Answers

Answer:

3/16

Step-by-step explanation:

Easy!! USE A CALCULATOR! LOL!

Answer: 2.51718887 × 10-63 m5 kg2 / s2

Step-by-step explanation:

pretty sure oh and -63, 5 next to m, 2 in kg, and 2 in s is  supposed to be smaller

When your gas tank is full, your car can drive 350 miles. If you’ve already driven 72 miles since the last time you filled up your gas tank, write an inequality representing the possible number of miles you can still drive in your car, then solve for the most amount of miles you can drive ?

Answers

Answer:

noentiendo. que preguntas?

Step-by-step explanation:

HELPP ASAP PLEASE

Using the information given, select the statement that can deduce the line segments to be parallel. If there are no
then select none.
When m7=24
AB || DC
AD II BC
none

Answers

Answer:

b. AD II DC

math is annoying, a lot of the stuff they teach we don't use in the real world lol

Answer:

If anything, AB DC seems like it would be right because AD BC doesnt line up with angles real well. Im not entirely sure; educated guessing.

The sum of the lengths of any two sides is greater than the third side, then the given sides will form a triangle.
Apply the theorem statement for the given numbers 10, 7 and 13. Do these numbers form a triangle? Explain

Answers

Answer:

Yes, These numbers 10, 7, and 13 can form a triangle

Step-by-step explanation:

The sum of any two sides of a triangle is greater than the third side

Let us use this theorem to solve the question

∵ The numbers are 10, 7, 13

∵ 10 + 7 = 17

∵ 17 > 13

The sum of 10 and 7 is greater than the 3rd number 13

∵ 10 + 13 = 23

∵ 23 > 7

The sum of 10 and 13 is greater than the 3rd number 7

∵ 7 + 13 = 20

∵ 20 > 10

The sum of 7 and 13 is greater than the 3rd number 10

∵ The sum of every two numbers is greater than the 3rd number

→ By using the theorem above

The numbers 10, 7, and 13 can form a triangle

6/11 ÷ 3/6
please answer the correct one I'll brainlies ​

Answers

Answer: 12/11

Step-by-step explanation:

(6/11) / (3/6)

(6/11) * (6/3) = 36/33 = 12/11

Answer:

12/11

Step-by-step explanation:

6/11 / 3/6

Simplify

6/11 / 1/2

Preform division, remember, dividing a number by a fraction is the same as multiplying that number by the reciprocal of that fraction

6/11 * 2/1

12/11

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