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:
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
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 ?
Answer:
noentiendo. que preguntas?
Step-by-step explanation:
A line includes the points (-39,49) and (0,0). What is its equation in slope-intercept form?
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]
Jamie did some push ups on Monday and Tuesday
Answer:
what would you like?
More information needs to be provided.
An event called __ if the probability it will occur equals 1, plz help im dying (it has 7 letters)
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)
please help this is due soon 2
4.) is 3. Acute
5.) is 4. 77°
Which number is divisible by 5 and 10?
A.24503
B.24305
C.23450
D.23405
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 :)
Determine the missing angle in each triangle.
Answer:
45
23
104
49
Step-by-step explanation:
A correlation coefficient of -1 would be considered...
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. ...
Which grach remesents an odd function
:'( NEED HELP NOWWW ok so its 3/4h x 19mi/ 1/4h I'm failing in math so pls help.would appreciate it
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
NEED RN, WORTH 30! ~ please and thank you! <3
30% of $40 is ?
How much money $?
Answer:
30 percent of 40 dollars is
12 dollars.
Which relation graphed below is a function?
Answer:
C is a function, D is not.
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
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.
i need help on this now plz
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.
A machine costs 7500. Its value decreases by 5% every year due to usage. what will be its price after 1 year?
Answer:
12000 will be the price of machine after 1year.
Step-by-step explanation:
As i got.
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
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 sideLet 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
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
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
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
Please help! Thanks!!
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
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)
Answer:
1. 9.8
2. 3.8
3. -19
Hope it helps :)
A)4(3х+4)
B)- 60(-7 х - 3)
With solution please
Urgent
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! :)
-3+-12 - (11+4--2)
Answer quick please I need to do four operations with rational numbers and showing all steps
Answer:
-32
Step-by-step explanation:
6th grade math i mark as brainliest
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:
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
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:
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.
What percent of 47.9 is 11?
A)4.4%
B)435.5%
C)148%
D)23%
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
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.
SOLVE THIS PLEASE
Nice
Impressive
Great
Golden
Eager
Respectible
can someone please help?
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