The population of a town gradually decreases by about 30
people a year. In 2015, the population was 3,600 people. Write an equation in general form for the population of this town .

[tex]\\(1).\\\\(1.7898)^{2x} = (1.7898)^6\\\\\implies \ln(1.7898)^{2x} = \ln(1.7898)^6\\\\\implies 2x \ln(1.7898) = 6 \ln(1.7898)\\\\\implies 2x =6\\\\\implies x = \dfrac 62 =3\\\\(3).\\\\2^{5x -6} = 4^{x+9}\\\\\implies 2^{5x -6} = (2^2)^{x+9}\\\\\implies 2^{5x-6} = 2^{2x+18}\\\\\implies \ln(2^{5x-6}) = \ln(2^{2x+18})\\\\\implies (5x -6) \ln 2 = (2x +18) \ln 2\\\\\implies 5x -6 = 2x +18\\\\\implies 5x -2x = 18 +6\\\\\implies 3x = 24\\\\\implies x = \dfrac{24}3 =8[/tex]

Answer:

450 miles / hour or 201.17 meters/second

Step-by-step explanation:

Speed = distance / time

Distance = 2475 miles

Time = 5 hours and 30 minutes

I will solve this in both miles per hour and meters per second and I am unaware of the appropriate units for your class.

Since 30 minutes = 1/2 an hour, 5 hours and 30 minutes = 5.5 hours

2475 miles / 5.5 hours = 450 miles / hour

1609.34 meters = 1 mile

3600 seconds = 1 hour

450 miles / hour * 1609.34 meters/1 mile * 1 hour/3600 seconds = 201.1675 meters/second (can round to 201.17)

Note that when multiplying, I am simply multiplying the result by 1. Since

1609.34 meters = 1 mile , 1609.34 meters/1 mile = 1 if I divide both sides by 1. Because I multiply by 1, the number is still the same. In terms of the numerator and denominator, I choose which is which by analyzing which units should cancel out. For example, I multiply by 1 hour/3600 seconds because in miles/hour, hour is on the bottom, and hour is on the top in hours/seconds.

Answer:

associative

Step-by-step explanation:

8x1=8

no matter how you group it the answer will always be 8

Hey there!

Identity Property FORMULA

Addition Identity Property

a + 0 = a

Multiplication Identity Property

a × b = b × a

Associative Property FORMULA

Addition Associative Property

a + (b + c)

Multiplication Associative Property

a * (b * c) = (a * b) * c

Based on that information we have above… we should say that your answer is most likely: IDENTITY

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

x/3-2=6

+2

x/3=8

*3

x=24

x/5+1=5

-1

x/5=4

*5

x=20

Answer:

Step-by-step explanation:

a)

(x / 3) - 2 = 6

add 2 to both sides

x / 3 = 8

multiply both sides by 3

x = 24

b)

(x / 5) + 1 = 5

subtract 1 from both sides

(x / 5) = 4

multiply both sides by 5

x = 20

[tex]\qquad[/tex]____________________

It’s given–

[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x+( x +2)+(x+4) = 42} }[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x +6 =42[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x = 42-6[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x =36[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel {\dfrac{36}{3}}[/tex]

[tex]\qquad[/tex][tex]\pink{ \bf\longrightarrow x = 12}[/tex] ( which is our lowest integer.)

[tex]\qquad[/tex]____________________

Given :

[tex] \: [/tex]

Solution :

Let us assume the three consecutive even numbers be "x" , "(x + 2)" and "(x + 4)" . Here x is the smallest number .

So,

According to the Question :

x + (x + 2) + (x + 4) = 42

⇢x + x + 2 + x + 4 = 42

⇢ x + x + x + 2 + 4 = 42

⇢ 3x + 6 ⠀⠀⠀⠀⠀ = 42

⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 42 - 6

⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 36

⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀= 36/3

⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀ = 12

Hence, 12 is the smallest consecutive even number.

[tex]3(x+9)-4x=11x-13x+23\\<=>3x+27-4x-11x+13x-23=0\\<=>x+4=0\\<=> x= -4[/tex]

Answer: this's true statement.

ok done. Thank to me :>

Answer:

To go to (-7,0) on a graph on the x axis go to the left 7 times and plot your point

Step-by-step explanation:

[tex] \: \: \: \: [/tex]

is it like mutiplying and dividing

The area of the rectangle that has side lengths of 7 yards and 3 yards is 21 square yards.

Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.

To find the area of the rectangle that has side lengths of 7 yards and 3 yards, use the formula as described below,

the area of the rectangle = length x width of the rectangle.

Substituting the value of the side lengths to the formula,

The area of the rectangle = 7 x 3

The area of the rectangle = 21 square yards.

Therefore, the area is 21 square yards.

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ7

Answer: multiply 6 by 3 and 10 by 3

Step-by-step explanation:

G = 10.8

creds to sqdancefan

Answer:

x=1.88

Step-by-step explanation:

Answer:

DO YOURE WORK!

Step-by-step explanation:

Please.

Answer:

The answer is 35.

Step-by-step explanation:

50% means half of a number.

For example, 50% of 20 is 10, because half of 20 is 10.

In this situation, the number is 70.

Do 70 divided by 2.

The answer is 35.

Answer : 50% can be written as .50, so to get 50% of 70, you just need to multiply 70 by .50.  This will give you 35. (The answer.)

Step-by-step explanation:

Any percent can be written as a decimal.  Move the decimal point two places to the right to convert a percent to a decimal.  For example, 25% to .25 and 50% to .50.  

Answer:

-14x

Step-by-step explanation:

Answer:

nonsense

Step-by-step explanation:

[tex]144\times0.2=28.8[/tex]

This employees statement is nonsense, as 43 sesame bagels is far more than the 29 they should expect when they order 20% of 144 bagels.

Answer:

it's nonsense. coz a person can't receive 43 sesame Bangles. it is not the actual number of sesame Bangles she should receive.

Answer:

Geometric

Step-by-step explanation:

The ratios of the terms are constant

Answer: Nope, im currently doing well right now. Thank you though.

Step-by-step explanation:

Answer:

y  <  −  2/3x  −  1

Step-by-step explanation:

Answer:

Both the median and mean are 13

Answer:

Mr. Pham should expect about 45165 books to have no damage or minor damage.

Answer:

A

Step-by-step explanation:

You have two increments of -5, so you know that 2 x -5 = -10. You know it is negative 10 because it is going to the left.

Hope this helps!

Answer:

The number is 1

Step-by-step explanation:

let the number be n

n-5=2n-6

n-2n=-6+5

-n=-1

n=1

Answer: 13x4+g

Step-by-step explanation:

Answer:

it is a little blurry I cannot tell what d is

Answer:

x + y = - 1.2

Step-by-step explanation:

7x - 7y = 5 ; y = x - [tex]\frac{5}{7}[/tex] ; the slope is 1 , and slope of ⊥ line is ( - 1 )

x + 5y = - 6 ; y = - [tex]\frac{1}{5}[/tex] x - [tex]\frac{6}{5}[/tex] ; y-intercept is ( - 1.2 )

Equation is y + [tex]\frac{6}{5}[/tex] = - ( x - 0 ) ; y = - x - 1.2 ; x + y = - 1.2

Answer:

9,4,-1,-6,-11

Step-by-step explanation:

When n = 1: a(1+1) =a(1) +1

                   a(2) = -9 +1

                   a(2) = -8

When n = 2: a(2+1) =a(2) + 2

                   a(3) = -8 + 2

                    a(3) = -6

When n = 3: a(3+1) = -6 + 3

a(4) = -3

Answer:

NOT CONGRUENT

Step-by-step explanation:

Angle Side Side doesnt work so it is not congruent

Answer:

132cm^2

Step-by-step explanation:

SA of square based pyramid:

SA = 2bs + b^2

b = base

s = slant height

-> 2(6)(8) + 6^2

-> 96 + 36

= 132cm^2

Answer:

132

Step-by-step explanation:

[tex]tsa = {a}^{2} + 2al[/tex]

[tex]tsa = {6}^{2} + 2(6)(8)[/tex]

[tex]tsa = 36 + 96[/tex]

[tex] = 132[/tex]

common difference=d=43-39=4

We need first term a

[tex]\\ \sf{:}\dashrightarrow a_5=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+4d=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+4(4)=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+16=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a=27[/tex]