After studying the growing population of a certain species of fish, Dr. Goldthwait has determined that the population will grow
in such a way that the population each year will be 27 less than the square of the previous year's population. If he introduces
this species of fish to a new environment by placing a population of 15 fish, and the population grows according to his results
which of the following recursive formulas can be used to determine the number of fish that will be in the environment in the
future? Assume that the space for the population to grow is unlimited.
OA
NEXT = Now2 - 27 starting at 15
OB. NEXT = (NOW + 27) starting at 15
OC. NEXT = now? + 27 starting at 15
OD. NEXT =
(NOW - 27) starting at 15

Answer:

Length of kite string = 118.9 feet (Approx.)

Step-by-step explanation:

Given:

Height of kite = 78 feet

Angle of elevation = 41°

Find;

Length of kite string

Computation:

Height of kite = Perpendicular

Length of kite string = Hypotenuse

Using trigonometry function;

Sinθ = Perpendicular / Hypotenuse

Sin 41 = Height of kite / Length of kite string

0.656 = 78 / Length of kite string

Length of kite string = 78 / 0.656

Length of kite string = 118.9 feet (Approx.)

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

Answer:

answer is A. you can see each intervals slowly to know this

Answer:

The correct answer is D.

A, B, and C are incorrect. <3

Hope this helps!

- Madeline

Answer:

153.86

Step-by-step explanation:

So first off, what is the formula for finding area of a circle?

Its [tex]\pi r^{2}[/tex]

We know that r(radius), is the distance from one point of the circle to its center.

In this case it is 7.

Note that in other cases, you might see a line going strait through the middle of the circle.

This is the diamater, and is 2x the radius. If you see the diamater, divide it in half, and you will find radius.

Now, back to the problem.

We know our radius is 7, so lets plug that into [tex]\pi r^{2}[/tex]:

[tex]\pi *7^{2}[/tex]

=

[tex]\pi *49[/tex]

=

153.93

So tecnically, this test is wrong. THe actual answer is .07 bigger than what they give.

However, it is the only possible answer, so it is correct.

Answer:

153.86

Hope this helps!

Answer:

whats the question..........

Answer and Step-by-step explanation:

The circumference formula for a circle is:

C = [tex]2\pi r[/tex]

Plug 35 in for r (radius) and solve.

C = [tex](35) 2\pi\\\\C = 70\pi\\\\C = 219.9[/tex]

So, approximately 219.9 [tex]in^2[/tex] is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

300 degrees

Step-by-step explanation:

5 pi/3

To change radians to degrees, multiply by 180/pi

5 pi/3 * 180/pi

5/3 * 180

5 * 60

300 degrees

Answer:

2760

Step-by-step explanation:

23 multiply by 120

=2760

i think D is the answer 16

Step-by-step explanation:

it might be the last one

may it helped u

Answer:

15

Step-by-step explanation:

Since, triangle ABC is the enlargement of triangle XYZ.

[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]

So, corresponding sides of both the triangles would be in proportion.

[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]

[tex] \therefore x= \frac{6\times 25}{10}[/tex]

[tex] \therefore x =\frac{150}{10}[/tex]

[tex] \therefore x = 15[/tex]

Answer:

Step-by-step explanation:

radius, r = 7 cm

[tex]Area = \pi r^2 = \pi \times 7^2 = 49 \pi = 153.94 \ cm^2\\\\Perimeter = 2 \pi r = 2 \pi \times 7 = 43.98 \ cm[/tex]

Answer:

the area of the parallelogram = base times the height

For the given parallelogram :

x = 8 units, y = 13 units, and h = 11 units

1) If x is the perpendicular to h

So, the base = 8 and the height = 11

So, the area = 8 * 11 = 88 square units

2) If y is the perpendicular to h

So, the base = 13 and the height = 11

So, the area = 13 * 11 = 143 square units

Step-by-step explanation:

Answer: 2, 3, 4

Step-by-step explanation:

In the table graph provided, you will a column that has "x" as it's title. Under x, 4, 8, and 12 should listed. You figure out the answers for y by inputting the x value into the rule: y = 1/4x + 1.

Answer:

4.5 miles per hour

Step-by-step explanation:

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Distance = 3/4 of a mile

Time taken on Monday = 1/6 of an hour.

What is Selma's unit rate in miles per hour for Monday's run?

Unit rate in miles per hour for Monday's run = distance ÷ time taken

= 3/4 ÷ 1/6

= 3/4 × 6/1

= (3 * 6) / (4 * 1)

= 18/4

= 4.5 miles per hour

Unit rate in miles per hour for Monday's run = 4.5 miles per hour

Answer:

14 days

Step-by-step explanation:

Since there are already 8000 trinkets in the warehouse, this means that we need to find the number of days it will take for the factory to create 42,000 trinkets which would cause the warehouse to max out it's capacity.

50,000 - 8000 = 42,000 trinkets

Since the factory can produce 3000 trinkets per day, we simply need to divide 42,000 by 3000 to get the number of days before the warehouse is at max capacity

42,000 / 3000 = 14 days

Therefore, it will take 14 days for the warehouse to be filled

Answer:

diameter=22

circumference=22pi

Step-by-step explanation:

diameter=2*radius

so 2*11=22

circumference=2pi*r

=2*11*pi

=22pi

Answer:

3^-6(81)^2=3^-6(6561)=9 which is 3^2

Answer:

120 crackers

Step-by-step explanation:

Given

[tex]Box = 5[/tex]

[tex]Crackers = 24/box[/tex]

Required

The total number of crackers

To do this, we simply multiply the number of box by the crackers per box

[tex]Total = Box * Crackers[/tex]

[tex]Total = 5 * 24[/tex]

[tex]Total = 120[/tex]

Answer:

y = 5/2x + 6

Step-by-step explanation:

Find the slope:

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{11-21}{2-6}\\\\m=\frac{-10}{-4}\\\\m=\frac{5}{2}[/tex]

Use point-slope form to find the equation in slope-intercept form:

[tex]y-y_1=m(x-x_1)\\\\y-11=\frac{5}{2} (x-2)\\\\y-11=\frac{5}{2}x-5\\\\y=\frac{5}{2}x+6[/tex]

The equation of the line for the function will be y = 5/2x + 6.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the graph of a linear function passes through points (2, 11) and (6,21).

Slope = ( 21 - 11 ) / ( 6 - 2 )

Slope = 10 / 4

Slope = 5 / 2

The y-intercept will be calculated as:-

y = mx + c

y = ( 5 / 2 )x + c

11 = ( 5 / 2 ) x 2 + c

c = 11 - 5

c = 6

The equation of the line will be:-

y = mx + c

y = (5/2)x + 6

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

Answer:

about (-3,1.5)

Step-by-step explanation:

Hope this helps!

Answer:

c = 4n

Step-by-step explanation:

Answer:

7) 96

8) 84

9) 72

Step-by-step explanation:

A = bh

7)

b = 12, h = 8

A = 12*8 = 96

8)

b = 12, h = 7

9)

b = 8, h = 9

answer:

the answer is going to be ½

Answer:

x = 15

Step-by-step explanation:

(5x-3)=(3x+27)

Subtract 3x from each side

(5x-3x-3)=(3x-3x+27)

2x-3 = 27

Add 3 to each side

2x-3+3 = 27+3

2x= 30

Divide by 2

2x/2 = 30/2

x = 15

Answer:

7 inches

Step-by-step explanation:

area of square=l^2

49=l^2

[tex]\sqrt{49[/tex]=l

7=l

therefore the sides of a triangle is 7 inches.

Answer:

7

Step-by-step explanation:

So to find this you know a square has 4 equal sides. The area is 49, and area is side length multiplied by side length. So what number multiplied by itself is 49? 7 x 7=49!

Answer:

A

Step-by-step explanation:

geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Option b is the geometric sequence with the common ratio of 2

sorry but can u show a picture of y?

Answer:

but where is que plz show your que

Answer: x=3 plus or minus i square root 29 end root all over 2