The population of two different villages is modeled by the equations shown
Suppose y represents the population and x represents the number of years
since 1980. What year(s) were the populations of both villages the same?
What was the population of both villages in the year(s) they were the same
Montville: y = x2 – 30x + 540
Havertown: y = 20x + 15

Answer:

89

Step-by-step explanation:

Answer:

work is pictured and shown

Answer:

(A) 20 degrees

Step-by-step explanation:

Inside the (G) angle is writen (2x + 10)

2 X 10 = 20

Step-by-step explanation:

Assuming we use only one kind of bread, meat and cheese, we have 3, 2, and 3 options for them respectively. Therefore, the total amount of sandwiches we can make is 3 * 2 * 3 = 18.

Answer:

Perimeter, [tex]P=\dfrac{2}{5}(5x+14)[/tex]

Step-by-step explanation:

We have, a hand woven rectangular rug measures x ft long and [tex]2\dfrac{4}{5}\ ft[/tex] wide. For a rectangular shaped object, perimeter is equal to the sum of all sides. If l is length and b is width, then

Perimeter, [tex]P=2(l+b)[/tex]

We have, l = x ft and b = [tex]2\dfrac{4}{5}\ ft=\dfrac{14}{5}\ ft[/tex]

So,

[tex]P=2(x+\dfrac{14}{5})[/tex]

or

[tex]P=\dfrac{2}{5}(5x+14)[/tex]

Answer:

A line that is tangent to each of the two coplanar circles

Step-by-step explanation:

Answer:

282.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

diameter=6

r=6/2=3

h=12

surface area=2πrh+2πr²=2πr(h+r)

=2π×3(12+3)

=90π

≈282.7

Answer:

39.8

Step-by-step explanation:

for this question, use the Pythagorean theorem which is:

a^2 + b^2 = c^3

a = 35

b = 19

c = the answer

lets solve it:

35^2 +19^2 = c^2

solve the exponents first

1225 + 361 = c^2

1586 = c^2

square root both to find c

(the answer is rounded)

39.824 = c

rounded to nearest 10th:

c = 39.8

Answer:

the answer is 39.8m

Step-by-step explanation:

You divide the pool with the diagonal and you obtain a right angled triangle with its base as 35m and its height as 19m. then using pythagoras theorem, you find the length of the hypotenuse and this is the length of the diagonal of the pool.

Answer:

5 (q + 13)

Step-by-step explanation:

collect like terms

5q + 5 - 5 + 65

5q + 65

5 (q + 13)

Answer:

5q+ 65

Step-by-step explanation:

3q+5+2q-5+65

We can only simplify since there is no equals sign

Combine like terms

5q+ 65+5-5

5q +65

Answer:

139.20

Step-by-step explanation:

=160 - 0.13(160)

=160 - 20.80

=139.20

Answer:139.20

Step-by-step explanation:

Answer:

Answer:

157

let g(4) = x

Answer:

22.5

Step-by-step explanation:

Answer:

22.5%

Step-by-step explanation:

I did it the easy way, all I did was divide 45 by 2 to get 22.5 which would be 22.5/100 and also 22.5%

Answer:

Choice A x= 16, y= 9√2

Step-by-step explanation:

x= 9+7 =16

y= √9²*2= 9√2

Answer:

C

Step-by-step explanation:

The triangle is reflected across the y-axis and moved down 3 units.

Answer:

The answer is A.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The area of the shaded sector is 54 pi units squared

The formula for calculating the area of a sector is expressed as:

[tex]A = \frac{\theta}{360} \times \pi r^2[/tex]

Given the following parameters

[tex]\theta = \pi/2\\r = 6units\\[/tex]

Substitute the given parameters into the formula

[tex]A=\frac{90}{360} \times \pi (6)^3 \\A = \frac{1}{4} \times 216\pi\\A = 54 \pi units^2[/tex]

Hene the area of the shaded sector is 54 pi units squared

Learn more on area of sector here: https://brainly.com/question/22972014

Answer:

(x + 5)² + (y - 4)² = 36

Step-by-step explanation:

The equation of a circle in standard form id

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 5, 4) and r = 12 ÷ 2 = 6 , thus

(x - (- 5))² + (y - 4)² = 6², that is

(x + 5)² + (y - 4)² = 36

Answer:

Thanks for free pointsThanks for free pointsThanks for free pointsThanks for free pointsThanks for free points

Step-by-step explanation:

vThanks for free pointsThanks for free pointsThanks for free pointsThanks for free pointsThanks for free points

Answer:

7.5 pounds

Step-by-step explanation:

you divide 120 by 16 to get how many pounds is needed

Answer:

7.5 pounds because...

Step-by-step explanation: ... it is 7.5 pounds if you divide 120 divided by 16 you would get 7.5 pounds.

Answer:

They are not in proportion.

Step-by-step explanation:

Make two ratios:

8 : 3

15 : 6 = 5 : 2

They are not in proportion.

Answer:

The mode is 80

Step-by-step explanation:

The number which appears most often in a set of numbers

Answer:

80

Step-by-step explanation:

Out of the 7 bars, three of them hit 80, two hit 50, and the other two hit 60.

50, 50, 60, 60, 80, 80, 80

80 appears most in the data set, so it is the mode.

Answer:

x = 23/5

y = -2/5

Step-by-step explanation:

We are given two equations

2x + 3y = 8     eq. 1

x - y = 5         eq. 2

From eq. 2

x - y = 5

x = 5 + y       eq. 3

Substitute eq. 3 into eq. 1

2x + 3y = 8     eq. 1

2(5 + y) + 3y = 8

Simplify the equation

10 + 2y + 3y = 8

10 + 5y = 8

5y = 8 - 10

5y = -2

y = -2/5

or

y = -0.4

Substitute the value of y into eq. 3 to get the value of x

x = 5 + y       eq. 3

x = 5 - 2/5

x = 23/5

or

x = 4.6

Therefore, the solution set is

(x, y) = (23/5, -2/5)

This is the point of intersection where these two equations meet.

Answer:

increases

Step-by-step explanation:

edg 2020

Answer:

increases

Step-by-step explanation:

Answer:

c is the answer

Step-by-step explanation

Answer:

y=9 7/15

Step-by-step explanation:

y + 3 7/15 = 12 14/15 - 8/15

y + 3 7/15 = 12 14/15

y + 3 7/15 = 12 14/15

   - 3 7/15  - 3 7/15

y             =  9 7/15

Answer:

28

Step-by-step explanation:

Consider the expansion:

[tex]$(x+y)^2=\sum_{k=0}^{n} \binom{n}{k}y^{n-k}x^k$$[/tex]

[tex]$ \binom{n}{k}=\frac{n!}{(n-k)!k!}[/tex]

We have

[tex]$\left(x + y\right)^{8}=\sum_{k=0}^{8} \binom{8}{k} \left(y\right)^{8-k} \left(x\right)^k[/tex]

I'm sorry but I will not write and solve everything, typing LaTeX takes time. But that's the idea:

For [tex]k=0[/tex]

[tex]$\binom{8}{0} \left(y\right)^{8-0} \left(x\right)^{0}=\frac{8!}{(8-0)! 0!}\left(y\right)^{8} \left(x\right)^{0}=y^{8}[/tex]

For [tex]k=2[/tex]

[tex]$\binom{8}{2} \left(y\right)^{8-2} \left(x\right)^{2}=\frac{8!}{(8-2)! 2!}\left(y\right)^{6} \left(x\right)^{2}=28 x^{2} y^{6}[/tex]

[tex](x+y)^8={x}^{8} + 8{x}^{7}y + 28{x}^{6}{y}^{2} + 56{x}^{5}{y}^{3} + 70{x}^{4}{y}^{4} + 56{x}^{3}{y}^{5} + 28{x}^{2}{y}^{6} + 8x{y}^{7} + {y}^{8}[/tex]

Answer:

Step-by-step explanation:

Since the measurements in meters are multiples of 4, it makes this problem a little easier.

First you divide 8 by 4 to get 2

Then divide 16 by 4 to get 4

After that you're going to multiply 3 units by both quotients separately.

So you multiply 3 by 2 to get 6

Then you multiply 3 by 4 to get 12

So then you end up with a 6 unit by 12 unit drawing.

therefore, the answer is

Answer:

= 15mins 18 seconds. The storm chaser van drove 13.53 miles to catch up with the storm which obviously has moved less than 0.53 miles as it was same time but multiplied below by 0.5 per minute as speed per minute is 0.5 for the storm. See right at the end the storm only moved 1.11 mile.

Step-by-step explanation:

We count in 1 minutes

54 mph = 54/60 = 0.9 miles per minute

Storm = 13 m +  1 minute  is;

33/60 = 0.55 miles = 11/20

M = (16 7/10 * 9/10x) = ( 3 7/10 * 11/20y ) +13

M = 15 3/10x = ( 407/200y +13)       (407/200 = y starting value +13)

M = 15 3/10x =  15 3/10 = 16 7/10x (the same as 16 7/10* 9/10 for x)

M = 15 3/10 x = 15 3/10  = 15.03    

M = 16 7/10x  / 9/10y                      (is also the same as 186/1000)

X = 185⁄1000 = 37⁄200xy x 16 7/10  (as starting value)

7/10 of 60 = 42 minutes

3/10 of 60 = 18 minutes

x = 15 mins 18 seconds.

y = 15 mins  18 seconds.

as 0.005 left over for y 3/10 was actually 15.035 gives us 0.005 of 60 can not be rounded up to a second.

However as we started with 16mins and 7/10 we can see that we multiplied by 9/10 so when we divide 16 7/10 by 9/10 we find  185⁄1000 = 37⁄200

To equal the mileage of the storm of where we multiplied 3 7/10 by 17/10

= 37/200 just the same

We added 13 miles of the storm to find each was multiplied by the larger x sum 9/10 and y was multiplied  

As 35/200 + 13 =  

13 37/200  

37/200 of 60 = 11.1 = 11.06 minutes which is

= 15.04 % more for y as 13 + 2 mins + 06 seconds = 15.06 = 15.035

The percentage looks the same but valued different as 2 of 13 as a percentage is multiplied as 13 x 15.04%  to equal the 2 of 15 miles as 15.04%.

To find how many miles we go back and see 15.035 = 15 7/200

Then we multiply this by 0.9 miles for the storm van

= 15 7/200 x 0.9 = 13.5315 = 13.53 miles

For the storm itself we can prove 0.53  increase of mileage

417/200 x 0.53 = 1.10505 = 1.11 miles. rounded up

Answer:

She wronged in V1.

Step-by-step explanation:

She write wrongly for the values of length and height. The length of V1 should be 7ft + 4ft which is 11ft and the height is 5ft.

So the volume of V1 is :

V1 = 2ft × 11ft × 5ft

= 110 ft³