A population numbers 19,000 organisms initially and grows by 4.8% each year. Suppose P represents population and t represents the number of years of growth. An exponential model for the population can be written in the form P =aâb^t where p =_________

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]

Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]

[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]

Answer:

173.2m

Step-by-step explanation:

Let C be the position of the meteorological station, B the position of the balloon and CB be the cable.

Let the height of the balloon from the ground be AB=hmetres.

In a right angled triangle ACB

BC

AB

=sin60

∘

⇒

200

h

=

2

3

since

sin60

∘

=

2

3

⇒h=200×

2

3

⇒h=100

3

∴h=100×1.732=173.2 since

3

=1.732

Hence, the height of the balloon above the ground is 173.2m

Answer:

a

Step-by-step explanation:

17x4+68

Answer: C. $2.04

Step-by-step explanation: 4 yards = 12 feet. 17 x 12 = 204 cents which equals to $2.04

Answer:

2845

Step-by-step explanation:

Answer:

y=-[tex]\frac{1}{2}[/tex]x+[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

  =(2-(-4))/(-2-1)

  =6/-3

  =-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-[tex]\frac{1}{2}[/tex]x+3/2

The equation of the line that is perpendicular to the line through (1,-4) and (-2,2) is [tex]y= \frac{1}{2}x+3[/tex]

The equation of the line perpendicular to the line passing through the points (x₁, y₁) and (x₂, y₂) is given as:

[tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

The slope m is calculated using the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2-(-4)}{-2-1} \\\\m=\frac{6}{-3} \\\\m=-2[/tex]

For the line passing through the points (1,-4) and (-2,2), substitute m = -2, x₁ = 1, and  y₁ = -4 into the equation [tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

[tex]y-1=\frac{-1}{-2} (x-(-4))\\\\y-1=\frac{1}{2}(x+4)\\\\y=\frac{1}{2}x+2+1\\\\y= \frac{1}{2}x+3[/tex]

Learn more on equation of a line here: https://brainly.com/question/13763238

Answer:

67

Step-by-step explanation:

                        __

Answer:   5.4945...

Step-by-step explanation:

1.6 (1 + 0.5n) − 3 , 2 = 1.1 (n − 6.8)

Rewrite the equation as 1.1 (n − 6.8) = 2.

1.1 (n − 6.8) = 2  

Divide each term by 1.1 and simplify.

  Divide each term in 1.1 (n − 6.8) = 2 by 1.1.

      1.1 (n − 6.8)/1.1  = 2/1.1

   Cancel the common factor of 1.1.

      n − 6.8 =  2/1.1

   Divide 2 by 1.1.                          

      n − 6.8 = 1.81...

Move all terms not containing n to the right side of the equation.

   Add 6.8 to both sides of the equation.                  

      n = 1.81... + 6.8            

   Add 1.81... and 6.8.

      n = 8.618...

Replace the variable n with 8.618... in the expression.

1.6 (1 + 0.5 (8.618...)) − 3  

Simplify each term.  

  Multiply 0.5 by 8.618...

      1.6 (1 + 4.309...) − 3

  Add 1 and 4.309...

      1.6 ⋅ 5.309... − 3

   Multiply 1.6 by 5.309...

      8.4945... − 3

  Subtract 3 from 8.4945...

      5.4945...

Answer:

y=x^2-2

Step-by-step explanation:

this equation is not a linear function because the equation is that of a quadratic function

Answer: 94

Step-by-step explanation:

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

Answer:

300kg

Step-by-step explanation:

Answer and Step-by-step explanation:

I don’t really know which system of equation to use, but I did the work. I also think there is supposed to be an attached picture but it’s fine

——————————————————————————————————————

Let x be students

Let y be adults

x + y = 222

5x + 8y = 1,626. <— let’s use the elimination/addition method to Solve this. Also, let’s eliminate y.

8 (x + y = 222)

-1 (5x + 8y = 1,626)

8x + 8y = 1,776

+ -5x - 8y = -1,626 <— add both of them

——————————————

3x = 150 <— divide 150 by 3

x = 5

Answer:

$56.10

Step-by-step explanation:

$0.34 removed for every dollar

.34 x 85 = $28.9 removed

85 - 28.9 = $56.10

hope this helped please mark brainliest if this helped :)

Answer:

12:15

3 goes into both of these numbers so then becomes

4:5

cannot be reduced any further

answer

4:5

Answer:

x = - 8

3x - 2y = 18 is the same as 3x - (2x - 13 times 2) = 18

Then I used an algebra site for the rest.

It should be x = - 8

I'm guessing you want x and y solved.

Answer: x=10 and y=6

Explanation:

For X: Substitute the y-equation (y-2x-13) into the first equation (3x-2y=18) so your equation is 3x-2(2x-13)=18. Do the distribution property and the equation will be 3x-4x+26=18. Put like terms on the same side of the equal sign and combine like terms (subtract 26 on both sides) and the equation will be -x = -10. To make x positive, make both sides positive and you get x=10.

For Y: Substitute your x answer (10) into the first equation (3x-2y=18) and you will get 30-2y=18. Subtract 30 from both sides and you get -2y=12. Divide both sides by the common factor of -2 and you get y=6.

Answer:

(3,5)

value of x is 3

value of y is 5

Answer:

A, C, E

Step-by-step explanation:

- (3/4) = -3/4

A: A is correct because it is the same equation as above.

B: -3/-4

The negatives cancel out each other, so it would just be 3/4, which is not the same as -3/4, so B is incorrect

C: -3/4 is equal to -3/4, so C is correct

D: -(-3/4)

The negative signs cancel each other out, so it equals 3/4. D is incorrect

E: 3/-4 = -3/4, so E is correct

Answer:

For 100 minutes

Step-by-step explanation:

Step one:

given data

Oh phone company

monthly plans plan a cost $13 plus an additional $.14 for each minute of calls

let the number of minutes be x, and the total be y

y= 13+0.14x--------------------1

Plan B cost $18 plus an additional of $.09 for each minute of calls

let the number of minutes be x, and the total be y

y= 18+0.09x--------------------2

Step two:

Equate 1 and 2 above

13+0.14x=18+0.09x

collect like terms

18-13= 0.14x-0.09x

5=0.05x

divide both sides by 0.05

x=5/0.05

x=100 minutes

Answer:

The answer to the question is four.

Answer:

I think the answer might be 4.

Answer:

+

Step-by-step explanation:

b/c

18+2×4

18+8

26

hope it's helpful ❤❤❤

THANK YOU.

Answer:

okay so this is kind of confusing but

Annalisa - 64 inches, 162.56 centimeters

Stefan - 67 inches, 170.18 centimeters

Keiko - 65 inches, 165.1 centimeters

Step-by-step explanation:

Answer:

it is 9a+6y+10

Step-by-step explanation:

Answer:

9a+10+6y

Step-by-step explanation:

Answer:

18 ft

Step-by-step explanation:

Since the 2nd triangle is 2x larger than the 1st one, you multiply by 2 on the matching side to get the answer.

(hope this helps!)

Answer:

less than because levi is one of the most skilled

Answer:

She is less than Levi

Step-by-step explanation:

Levi has literally decades more experience of fighting titans than Mikasa. Also, as revealed in the latest chapters, both are part of the Ackerman family which was the product of titan experiments. Also, five seconds don't really help Mikasa. So, yeah, Levi wins, no doubt.

Answer:

[tex]AD = 6[/tex], [tex]DC = 14[/tex], [tex]\angle A = 114^{\circ}[/tex], [tex]\angle B = 66^{\circ}[/tex], [tex]\angle C = 114^{\circ}[/tex]

Step-by-step explanation:

From Euclidean Geometry, parallelograms satisfy the following properties:

1) [tex]\angle A = \angle C[/tex], [tex]\angle B = \angle D[/tex]

2) [tex]\angle A +\angle D = \angle D + \angle C = \angle C +\angle B = \angle A+\angle B = 180 ^{\circ}[/tex]

3) [tex]AD = BC[/tex], [tex]AB = DC[/tex]

By 3):

[tex]AD = 6[/tex]

By 3):

[tex]DC = 14[/tex]

By 2):

[tex]\angle A = 180^{\circ}-\angle D[/tex]

[tex]\angle A = 180^{\circ}-66^{\circ}[/tex]

[tex]\angle A = 114^{\circ}[/tex]

By 1):

[tex]\angle B = 66^{\circ}[/tex]

By 1):

[tex]\angle C = 114^{\circ}[/tex]

Answer:

2(-12), -1(24), 6(-4)

Step-by-step explanation:

Answer:

Hope this helps!

Step-by-step explanation:

1.  9.38

2. 9.80

3. 11

4. 9.85

5.  15.23

6.  15

7. 9.95

8. 27

9. 26.96

10. 14.14

Step-by-step explanation:

on the picture

if it's helpful ❤❤❤❤❤

THANK YOU.

Answer:

Bebe he duff or my yiiyisidduxid