Solve for X. the Polygons in each pair are similar.

Answer:

La población que se espera para el 2012, es 317,060

Step-by-step explanation:

Si la población tiene un crecimiento relativo del 2%, entonces cada año, la población es un 2% más grande que el año anterior.

Definamos P(t) = población después de t años

Entonces, si al año t = 0 (que corresponde con el año 2000) la población es A

P(0) = A

Un año después, en t = 1, la población incrementa en un 2%

P(1) = A + (2%/100%)*A = A + (0.02)*A = A*(1.02)

Otro año después, en t = 2, la población incrementa un 2% de vuelta.

P(2) = A*(1.02) + (2%/100%)*A(1.02) = A*(1.02) + 0.02*A*(1.02)

      = A*(1.02)*(1.02) = A*(1.02)^2

Ya podemos notar un patrón, la población en el año t va a ser:

P(t) = A*(1.02)^t

Sabemos que en t = 0 (el año 2000) la población es 250,000

Entonces A = 250,000

P(t) = 250,000*(1.02)^t

Ahora queremos calcular la población en el año 2012

entonces si t = 0 es el 2000

2012 esta representado con t = 12

Reemplazando eso en la ecuación, obtenemos:

P(12) = 250,000*(1.02)^12 = 317,060.4

Como esto es una población tenemos que redondearlo al próximo número entero, como el primer digito después del punto es 4, redondeamos para abajo.

Entonces la población que se espera para el 2012 es: 317,060

Answer:

16π

Step-by-step explanation:

The circle touches the X-axis and center at (3,4), the coordinate is representing as (x, y), so the radio will be r = y (circle touches the X-axis), and the formula of circle area is π * r^2, so:

π * 4^2 is equal to 16π

Answer:

The answer is 5/6.

Step-by-step explanation:

If both the numbers are mixed then,

(5 1/3) - (4 1/2)

= {(3*5)+1}/3  -  {(2*4)+1}/2

= (16/3) - (9/2)

= (32-27)/6

= 5/6

Hope this helps.

Answer:

XP = 11

Step-by-step explanation:

Given that XZ = 7x + 1 and PZ = 4x − 1

From the diagram, XZ = 2PZ

7x + 1 = 2(4x-1)

7x+1 = 8x - 2

7x - 8x = -2 -1

-x = -3

x = 3

Since XP = PZ

XP = 4x - 1

XP = 4(3) - 1

XP = 12-1

XP = 11

Answer:

x=-2/3

Step-by-step explanation:

So let's start off with adding 4x on both sides, we add them to cancel out the -4x on the right hand side.

4x+-9x=-5x

Now, as for the fractions all we really gotta do here is add and subtract them. Let's subtract 5/6 on both sides. once we do that we get:

2/3+7/2-5/6=-5x

A quick trick for adding and subtract fractions is to cross multiply.

2/3+7/2

Multiply 3 times 7 and 2 times 2, then we'll multiply 3 times 2 to get a denominator.

3*2=6 (our denominator)

3*7=21

21/6

2*2=4/6

21/6+4/6=

25/6

Awesome! Now we have two like denominators so we don't have to do any additional cross multiplying. So, we can subtract 25/6-5/6=20/6.

Now, all we're left with is:

20/6=-5x

We can multiply 6 on both sides to isolate the 20.

20=-30x

Divide -30 on both sides!

x=-2/3

Hope this helps!

Answer:

d

Step-by-step explanation:

on edge

Answer:

D!!

Step-by-step explanation:

Got it right

Answer:

[tex]x=\frac{-12}{5} y+\frac{79}{5}[/tex]

Step-by-step explanation:

[tex]5(y-4)-3(y-2)+5(x-3)=10[/tex]

Add -12y to both sides:

[tex]5x+12y-69-12y=10-12y[/tex]

[tex]5x-69=-12y+10[/tex]

Add 69 to both sides:

[tex]5x-69+69=-12y+10+69[/tex]

[tex]5x=-12y+79[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5} =\frac{-12+79}{5}[/tex]

[tex]x=\frac{-12}{5} y + \frac{79}{5}[/tex]

[tex]\longrightarrow{\green{ x\:=\:1}}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex]11x + 6 = 6x + 11[/tex]

➼[tex] \: 11x - 6x = 11 - 6[/tex]

➼[tex] \: 5x = 5[/tex]

➼[tex] \: x = \frac{5}{5} [/tex]

➼[tex] \: x = 1[/tex]

Therefore, the value of [tex]x[/tex] is 1.

[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]

[tex]11 \times 1 + 6 = 6 \times 1 + 11[/tex]

➼ [tex] \: 11 + 6 = 6 + 11[/tex]

➼[tex] \: 17 = 17[/tex]

➼ L. H. S. = R. H. S

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

Step-by-step explanation:

x^2+64=(x+8i)(x-8i)

16x^2+49=(4x+7i)(4x-7i)

Answer:

0.075 metre

2000 mm

500 cm

0.001 gram

1.5 × 10-6 kilogram

86400 second

18000 second

Step-by-step explanation:

hope it helps

Answer:

a) 0.075 m

b) 2000 mm

c) 500 cm

d) ?

e) 0.0015 kg

f) 86400 seconds

g) 18000 seconds

Answer:

Difference is the answer to a subtraction problem.  If you are on here, you can probably use a calculator.  If you go to the desmos scientific calculator, you can type it in and it will give you your answer as a fraction.

Step-by-step explanation:

Answer:

13/30

Step-by-step explanation:

7/10 - 4/15

Get a common denominator of 30

7/10 *3/3 = 21/30

4/15 *2/2 = 8/30

21/30 -8/30

13/30

Answer:

Right Triangle

Step-by-step explanation:

It has a 90 degree angle

Answer:

the answer for this one is 39.2f. me being a Canadian and knowing that 0c is 32 Celsius it had to be larger and putting 4 Celsius thru a converter gives you 39.2

Step-by-step explanation:

Answer:

29120

Step-by-step explanation:

if 5.6 × 0.52 = 2912

then,

0.56 × 520 = 29120

Answer:

its Positive or absolute ....

Answer:

y = - 7

Step-by-step explanation:

6x - 2y = 14

x = 0

6(0) - 2y = 14

- 2y = 14

- 2y ÷ - 2 = 14 ÷ - 2

y = - 7

Answer:

Sergio will buy first

It will take 34 weeks for Sergio

and 45 weeks for Lia

Step-by-step explanation:

Given Info: Per week Sergio Saves $24

How:

divide $72 by 4 weeks to find how much Lia is earning per 1 week.

72/4= 18

So Lia is saving 18$ per week while Sergio saves $24 per week

24>18

Sergio will save more per week so he will get it first.

It will take 34 weeks for Sergio

and 45 weeks for Lia

Answer:

$8

Step-by-step explanation:

12.5 hours earned him $110

then an hour will earn him less

12.5=$110

1=x then you cross multiply

12.5x=110

12.5x/12.5=110/12.5

x=8

therefore an hour will earn him $8

Answer:To test for divisibility, you look for answers that are whole numbers when you divide 59859 by either 2, 3, 5, 9, or 10.

To start divide it by each of them:

59859/2=29929.5

59859/3= 19953

59859/5= 11971.8

59859/9= 6651

59859/10= 5985.9

Now look at which of the choices are whole numbers

3 and 9 are the only non decimal numbers, therefore, C would be your answer.

Step-by-step explanation:

Answer:

$84.48

Step-by-step explanation:

Multiply the price before discount by 1.2 (100% + 20%) to get 70.40 x 1.2 = 80.48; $80.48

Hope this helps!

:)

Answer:

0.125

Step-by-step explanation

one eighth = 1/8

Divide the numerator by denominator and the answer is 0.125

Answer:

1/6

Step-by-step explanation:

Answer:

x ≈ 13.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan34° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{20}[/tex] ( multiply both sides by 20 )

20 × tan34° = x , then

x ≈ 13.5 ( to the nearest tenth )

Answer:

y = 8(2) = 16

Step-by-step explanation:

"If y varies directly as x," then y = kx, where k is the constant of proportionality.

Here, when x = 6, y = 48.  This data lets us calculate k:

48 = k*6, or k = 8.

Then the pertinent equation is  y = 8x.

If x = 2, y = 8(2) = 16

Answer:

B) 376 units squared

Step-by-step explanation:

Imma put a picture that has a fully explanation. Hope this helps, good luck! ;)

Btw saw your other one got deleted •_• *sigh*

Answer:

y = 1/3 x

Step-by-step explanation:

y = kx

13 = k 39

k = 13/39

k = 1/3

y = 1/3 x

Answer:

C) Y > 0

hope it helps uh

mark me as brainliest

Answer:

B

Step-by-step explanation:

The range is the values of y covered by the graph

The values of y go from 0 to 8 , then

range is 0 ≤ y ≤ 8

Answer:

5.4

Step-by-step explanation:

Juss took the test