The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation y = 2.375sin((StartFraction pi Over 6 EndFraction x minus StartFraction pi Over 2 EndFraction))+12.125, where x = 0 represents December, x = 1 represents January, etc.

Answer:

( -1 , 0.5)

Step-by-step explanation:

Four years ago average age of A , B & C was 25 years.

A's present age

Let the ages of A , B , C be A , B , C years.

We know that,

Average = Sum of observations/Number of observations.

Here,

Sum of observations = A - 4 + B - 4 + C - 4 = (A + B + C - 12) years.

Number of observations = 3.

So, (A + B + C - 12)/3 = 25

⟹ A + B + C - 12 = 3 * 25

⟹ A + B + C = 75 + 12

⟹ A + B + C = 87 -- equation (1)

Also given that,

Average age of B & C before 5 years was 20 years.

⟹ (B - 5 + C - 5)/2 = 20

⟹ B + C - 10 = 2 * 20

⟹ B + C = 40 + 10

⟹ B + C = 50 -- equation (2)

Subtract equation (2) from equation (1).

⟹ A + B + C - (B + C) = 87 - 50

⟹ A + B + C - B - C = 37

⟹ A = 37 years

∴ A's present age is 37 years.

I hope it will help you.

Regards.

Answer:

→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]

→ 4md - 2nd = 2 * [ a + (n - 1)d ]

→ 2(2md - nd) = 2 * (a + nd - d)

→ 2md - nd - a + d = nd

→ 2md - nd - (md - 2nd) + d = nd

[ From equation (1) ]

→ 2md - nd - md + 2nd + d = nd

→ md + nd + d = nd

→ (m + n + 1)d = n * d

→ (m + n + 1) = n

Step-by-step explanation:

Answer:

-1

So the answer would be (-1, 2)

Hopefully, this is correct, sorry if not.

Answer:

I think the integers are -19 and -20.

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

√169 = 13

square root and two digits after dot means the result need to has one digit after dot (number of digits after dot divided by 2 because of square root)

so √1.69 = 1.3

Answer:

y = 1/2x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

Point-slope form; y - 2 = 1/2(x + 4)

Step 2: Rewrite

Answer:

y=1/2x+4

Step-by-step explanation:

y-2=1/2(x+4)

(distribute the 1/2)

y-2=1/2x+2

(add 2 to both sides)

y=1/2x+4

Answer:

0.674 as a percent. 0.674 is equivalent to 67.4%.

Hope this helps!

Answer:

Subtract 17 from -12, you sould get x= -29

Step-by-step explanation:

Answer:

200x-160

Step-by-step explanation:

Answer:

If i am correct the area should 337inches..........

Step-by-step explanation:

my reason is becuase if you multiply these numbers

13* 6 = 78       and   8 * 8 = 64     and   10 * 17 + 170   and  last 5 * 5 = 25

they you add    170+ 78 + 64 + 25 =  337inches          so means the answer is 337 Your Welcome :D

Answer:

c = -25

Step-by-step explanation:

8c + 120 = -180

Subtract 20 from both sides.

8c = -200

Divide both sides by 8.

c = -25

Answer:

C = -25

Step-by-step explanation:

Start by getting C alone, subtract 20 from the left side of the equal sign and subtract 20 from the right. (what you do on one side you MUST do to the other) this gives you 8c= -200. Divide 8 from 8c on the right side and divide 8 from -200 on the left side. This will give you c= -25

Answer:

The second graph

Step-by-step explanation:

each of the points you listed are graphed on there.

Answer:

the answer is graph number 2

it has X(-2, 0), Y(3, -5), and Z(0, 3) points on it !

Answer:

13

Step-by-step explanation:

15 and 13 have the same angle because they are opposit each other on the intersection of both lines.

Given :

AT&T charges $350 to get a plan with them, plus $60 per month.

T-Mobile charges a $275 initial fee, plus $80 per month.

To Find :

Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.

Solution :

Money-time relation of plan AT&T :

[tex]M_1 = 60x + 350[/tex]

Money-time relation of plan T-Mobile :

[tex]M_2 = 80y + 275[/tex]

( Here, x and y are number of months )

Let, after t months would take for T-Mobile to cost the same or more than AT&T.

So, [tex]M_2\ge M_1[/tex]

[tex]80t+275 \ge 60t + 350\\\\20t \ge 350 - 275\\\\20t \ge 75\\\\t \ge 3.75[/tex]

Hence, this is the required solution.

Answer:

ok u need to list the numbers in the journal

Step-by-step explanation:

Answer:

No, because each output of altitude has more than one input of time. ... No, because the altitude is constant between 60 minutes and 130 minutes

Step-by-step explanation:

look at the graph

Answer: C

Step-by-step explanation:

Answer:

x=19

Step-by-step explanation:

x=25-6

x=19

Answer:

x=19

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

x+6−6=25−6

x=19

Given:

The equation is

[tex]\dfrac{14}{\dfrac{2}{7}}[/tex]

To find:

The correct description of Urvi's work.

Solution:

We have,

[tex]\dfrac{14}{\dfrac{2}{7}}[/tex]

Using the rule "multiply by the reciprocal", we get

[tex]\dfrac{14}{\dfrac{2}{7}}=14\times \dfrac{7}{2}[/tex]

[tex]\dfrac{14}{\dfrac{2}{7}}=\dfrac{98}{2}[/tex]

[tex]\dfrac{14}{\dfrac{2}{7}}=49[/tex]

Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

Answer:thats tuff

Step-by-step explanation:

Study, thank you for tuning in my Ted talk.

Answer:

I believe the answer is 8.5 inches long

Step-by-step explanation:

we have to find out how long 1/4 × 34 is, since each 1/4 represents one of the 34 feet of the pools length.

34×.25 = 8.5

Answer:

Im not 100 percent sure but I think you have to do this

Step-by-step explanation:

Add all numbers together to find total students

Then add the students in Chemistry and Physics and both together

Then find what that number is in percent to the total students

Answer:

20 containers

Step-by-step explanation:

Given:

D = 0.07N

Where,

D = Amount of deposits

N = Number of containers

If D = $1.40 find N

D = 0.07N

1.40 = 0.07N

Divide both sides by 0.07

N = 1.40 / 0.07

= 20

N = 20 containers

if you deposit $1.40, you will buy a total of 20 containers.

Answer:

If the question is (64)2 x 60, then the answer is 7,200

Step-by-step explanation:

Answer:

[tex]=27x + 18y + 30[/tex] fr it's the real answer

Step-by-step explanation:

hope it helps u won't fail(maybe)

leave a like

and if u can mark brainliest

Answer:

1) y-4+1(x-5)

Step-by-step explanation:

With point-slope form, you just have to substitue the information that is given to you into the generic formula.

y-y1= m(x-x1)

so the y1 is the y value of the point that is given to you and x1 is the x value of the point that is given to you

m is the slope (also given)

and x and y just stay the same; x &y

Answer:

k4-3+3=10k

Step-by-step explanation:

Answer:

4k-3+3=10k

Step-by-step explanation:

4k-3+3=10k