A population grows according to an exponential growth model. The initial population is 215 and the population after one year is 278.

Complete the formula where P is the population and n is the number of years.:

Answer:

A

Step-by-step explanation:

Given

y - 2x - 8 = 0 ( add 2x + 8 to both sides )

y = 2x + 8 → (1)

y² + 8x = 0 → (2)

Substitute y = 2x + 8 into (2)

(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify

4x² + 32x + 64 + 8x = 0

4x² + 40x + 64 = 0 ( divide through by 4 )

x² + 10x + 16 = 0 ← in standard form

(x + 8)(x + 2) = 0 ← in factored form

x + 8 = 0 ⇒ x = - 8

x + 2 = 0 ⇒ x = - 2

Substitute these values into (1) for corresponding values of y

x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)

x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )

Calculate the length of PQ using the distance formula

PQ = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )

PQ = [tex]\sqrt{(-2-(-8))^2+(4-(-8))^2}[/tex]

      = [tex]\sqrt{(-2+8)^2+(4+8)^2}[/tex]

       = [tex]\sqrt{6^2+12^2}[/tex]

       = [tex]\sqrt{36+144}[/tex]

       = [tex]\sqrt{180}[/tex]

       = [tex]\sqrt{36(5)}[/tex]

       = [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]

        = 6[tex]\sqrt{5}[/tex] → A

Answer:

f-2(x) = [tex]\sqrt{x} -4[/tex], - [tex]\sqrt{x} -4[/tex]

Step-by-step explanation:

Answer:

[tex]y = \frac{15}{4} \\ \\ [/tex]

it

Answer:

6%

Step-by-step explanation:

step by step

$20 to $14

we subtract

20-14

=6

Answer:D.30%

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Answer:

E. is 103 degree.

It's a vertical angle.

F. is 77 degree

the e and f makes a 180 degree. 180-103(aka e) = 77 degree

D. is 90 degree. it's perpendicular.

Answer:

6000 students

Step-by-step explanation:

Since the added value of the total number of students would be 5691, so if you wound up, it would be around 6,000

Answer:3,000 students

Step-by-step explanation:

Answer:

shenf dhd

Step-by-step explanation:

rhrbrutb hnjngb bdjdhdhdgdg jdjdurbervy

Answer:

7

Step-by-step explanation:

because if you add 10+7 17 17+7=24

Answer:2.81

Step-by-step explanation:

Answer:604

Step-by-step explanation: its easy

677-73

Answer:

lets find the exact value of w

7w - 7 = 7

+7        +7

7w = 14

/7     /7

w = 2

Now let's replace w with 2

5(2) + 1 = 11

Answer:

-3m+6=9

Step-by-step explanation:

-3m=3

Divide by -3

m=-1

Answer:

5

Step-by-step explanation:

expand: -3m - -6 = -9

-9 + -6 = -15

-3m = -15

-15 / -3 = 5

m = 5

Answer:

a) $3250

b) 31%

Step-by-step explanation:

a) 910 + 2340 = $3250

b) 18 + 13% = 31%

Answer:

8 mm

Step-by-step explanation:

the total length of the rod is 330, it's asking how many individual Rods cut at the length 41 1/4 which in decimal form is 41.25,, 330/41.25 = 8. anytime a question asks you how many of something can be obtained at a length just divide from total !

Answer: B

Step-by-step explanation: It was right on my test

Answer:

I'm to cool to answer that

Step-by-step explanation:

is that a bad thing

Answer: …………..

Step-by-step explanation:

……………..

Answer: number 1

Step-by-step explanation:

number 1

If you deposit $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?

The formula for deducing Compounded Annual Growth rate, CAGR = {( EV / SV)^1 / n} - 1

where:

EV = Investment's ending value

SV = Investment's starting value

n = Number of investment periods (months, years, etc.)

If you rearrange the formula for deducing the time period required.

SV = $8000

EV= $12400

Total appreciation = (EV-SV)*100%/SV = 64.52%.

At CAGR of 7%, the time required for any value to appreciate 64.52% is 6 years and 6 months

Step-by-step explanation:

mark me brainly have a great day!!!!

It rotated 90 degrees to the right and transformed down and to the right

Answer: sorry for the long answer just skip if you dont wanna read it all but the last one was hard for me sorry if wrong

1. STEP

1

:

           8

Simplify   —

           9

Equation at the end of step

1

:

       8

 10 -  —

       9

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  9  as the denominator :

          10     10 • 9

    10 =  ——  =  ——————

          1        9  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

10 • 9 - (8)     82

————————————  =  ——

     9           9

Final result :

 82          

 —— = 9.11111

 9            

2.Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x/5-7-(5)=0

Step by step solution :

STEP

1

:

           x

Simplify   —

           5

Equation at the end of step

1

:

  x          

 (— -  7) -  5  = 0

  5          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        7     7 • 5

   7 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (7 • 5)     x - 35

———————————  =  ——————

     5            5  

Equation at the end of step

2

:

 (x - 35)    

 ———————— -  5  = 0

    5        

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        5     5 • 5

   5 =  —  =  —————

        1       5  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(x-35) - (5 • 5)     x - 60

————————————————  =  ——————

       5               5  

Equation at the end of step

3

:

 x - 60

 ——————  = 0

   5  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x-60

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-60  = 0

Solving a Single Variable Equation:

4.2      Solve  :    x-60 = 0

Add  60  to both sides of the equation :

                     x = 60

3.Find the Least Common Denominator (LCD) of \frac{2}{5},\frac{3}{4}

5

2

​

,

4

3

​

. In other words, find the Least Common Multiple (LCM) of 5,45,4.

LCD = 2020

2 Make the denominators the same as the LCD.

\frac{2\times 4}{5\times 4}+\frac{3\times 5}{4\times 5}

5×4

2×4

​

+

4×5

3×5

​

3 Simplify. Denominators are now the same.

\frac{8}{20}+\frac{15}{20}

20

8

​

+

20

15

​

4 Join the denominators.

\frac{8+15}{20}

20

8+15

​

5 Simplify.

\frac{23}{20}

20

23

​

6 Convert to mixed fraction.

1\frac{3}{20}

1

20

3

​

Answer:

[tex] \sqrt[3]{ - 343} = - 7[/tex]

I hope I helped you^_^

Answer:

-7

Step-by-step explanation:

[tex] \sqrt[3]{ - 343} [/tex]

is the same as, let say we have a value a.

[tex]a \times a \times a = - 343[/tex]

We know a negative multipled 3 times is negative so our answer is a negative.

a cube root of 343 is 7 so the cube root of -343 is -7.

[tex] - 7[/tex]

[tex] - 7 \times - 7 \times - 7 = - 343[/tex]

Answer:

Step-by-step explanation:

Given:

and

Find the composite function f(g(x)), substitute g(x) with its value:

Answer:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

Answer:

[tex]\frac{4}{9}[/tex]

[tex]-\frac{9}{4}[/tex]

Step-by-step explanation:

First, solve the equation for y to find the slope of the original line. When you solve for y you get [tex]y=-\frac{9}{4}x+2[/tex]. Since the coefficient of x in slope-intercept form is the slope, -9/4 is the slope of this line.

Perpendicular lines have the opposite slope, so if the slope is a/b then the perpendicular slope is -b/a. Since the slope is -9/4, the perpendicular slope is 4/9.

Parallel lines have the same slope. So, the slope is the exact same, -9/4.

Answer:

I think 66 is correct answer

Answer:

66

Step-by-step explanation:

Thank You! Please thank me. Also I answered your question "what is input/output of TV"

Answer:

1st side= 4m

2nd side= 8m

3rd side= 12m

Step-by-step explanation:

Let the first, second and third side of the triangle be a, b and c meters respectively.

a= b -4 -----(1)

c= 3a -----(2)

Perimeter of triangle

= a +b +c

= 24

a +b +c= 24 -----(3)

From (1): b= a +4 -----(4)

Subst. (2) and (4) into (3):

a +(a +4) +3a= 24

3a +a +a +4= 24

5a +4= 24

5a= 24 -4

5a= 20

Divide both sides by 5:

a= 20 ÷5

a= 4

Substitute a= 4 into (4):

b= 4 +4

b= 8

Substitute a= 4 into (2):

c= 3(4)

c= 12

Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.

Answer:

Kites are a special type of quadrilateral with two distinct pairs of consecutive sides the same length. ... Similarly, every kite is not a parallelogram, because the opposite sides of a kite are not necessarily parallel.

Answer:

No

Step-by-step explanation:

All parallelograms are not a kite.

A kite is a quadrilateral with two disjoint pairs ( no side is in both pairs ) of equal-length, adjacent ( sharing a vertex ) sides. A parallelogram also has two pairs of equal-length sides, however they must be opposite, as opposed to adjacent.

( See the attached image )

Answer:

ok

ok

Step-by-step explanation:

thanks

thank

thanks