6. A population of Florida fire ants grows at a rate of 8% a year. If there are 320 fire ants in
the initial population, find the sum of the geometric series after six population rotations.
PLZZZ HELP

Answers

Answer 1

Answer: 1920

Step-by-step explanation:


Related Questions

HEEEEEEEEEEEEELLLLLLLLLLLLLLLLLPPPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZ

Answers

Answer:

(6x + 3) + (7x - 44) = 180

6x + 3 + 7x - 44 = 180

13x - 41 = 180

13x = 221

adjacent x = 17

pls help asap
AABC ~ ADEF B. Х 8 А 'C E 3 6. D ' x = [?] Enter​

Answers

Answer:

[tex] \boxed{ \tt{x = 4}}[/tex]

Step-by-step explanation:

[tex] \frac{3}{x} = \frac{6}{8} \\ 6x = 24 \\ x = 4[/tex]

John ran 1 of a mile in 8 minutes. If he continues running 2 at that speed, how long will it take him to run one mile? A) 4 minutes B) 8 minutes C) 12minutes D) 16 minutes

Answers

Answer:

d 16 minutes

Step-by-step explanation:

1 mile equals 8 minutes

2 miles equals 16 minutes

Help it is past due!!! One hundred points

Answers

i wont give the answer but i will tell you how to solve

Opening Exercise

The original triangle, labeled A, has been reflected across the first line, resulting in the image labeled B. Reflect the image across the second line. Carlos looked at the image of the reflection across the second line and said, “That’s not the image of triangle A after two reflections; that’s the image of triangle A after a rotation!” Do you agree? Why or why not?

Discussion

When you reflect a figure across a line, the original figure and its image share a line of symmetry, which we have called the line of reflection. When you reflect a figure across a line and then reflect the image across a line that intersects the first line, your final image is a rotation of the original figure. The center of rotation is the point at which the two lines of reflection intersect. The angle of rotation is determined by connecting the center of rotation to a pair of corresponding vertices on the original figure and the final image. The figure above is a 210° rotation (or 150° clockwise rotation).

Exploratory Challenge

Line of symmetry of a figure: This is an isosceles triangle. By definition, an isosceles triangle has at least two congruent sides. A line of symmetry of the triangle can be drawn from the top vertex to the midpoint of the base, decomposing the original triangle into two congruent right triangles. This line of symmetry can be thought of as a reflection across itself that takes the isosceles triangle to itself. Every point of the triangle on one side of the line of symmetry has a corresponding point on the triangle on the other side of the line of symmetry, given by reflecting the point across the line. In particular, the line of symmetry is equidistant from all corresponding pairs of points. Another way of thinking about line symmetry is that a figure has line symmetry if there exists a line (or lines) such that the image of the figure when reflected over the line is itself.

Does every figure have a line of symmetry?

Kim drew the diagram below to find x, the length of the pole holding up the stop sign that is at an angle with the ground as shown.

Answers

Answer:

the length of the pole is 9.90 feet.

Step-by-step explanation:

PLEASE HELP ME THANKS SO Much

Answers

9514 1404 393

Answer:

  (b)  x = 7, AB = 9, AC = 12

Step-by-step explanation:

ΔAEB ~ ΔCDB so corresponding sides are proportional.

  AB/CB = AE/CD

  (x+2)/(x -4) = 12/4

  x +2 = 3(x -4) . . . . . . multiply by x-4

  x +2 = 3x -12 . . . . . . eliminate parentheses

  14 = 2x . . . . . . . . . . . add 12-x

  7 = x . . . . . . . . . . . . . divide by 2

AB = x +2 = 7 +2 = 9

BC = x -4 = 7 -4 = 3

AC = AB +BC = 9 +3 = 12

__

In summary, ...

  x = 7, AB = 9, AC = 12 . . . . . matches the 2nd choice

_____

Additional comment

Please note the other choices make no sense.

  (a) AB = x +2 = -5 +2 = -3 ≠ -9

  (c) AC = 2x-2 = 2(7) -2 = 12 ≠ 9

  (d) segment lengths are never negative in a geometrical figure

The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 45% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 260 pints of a mixture that is 45% pure fruit juice?

Answers

Answer:

first type of fruit juice (35%) = 4

second type of fruit juice (100%) = 4

Step-by-step explanation:

4×35 = 140

4×100 = 400

400-140 = 260

what is the measure of angle k?

Answers

9514 1404 393

Answer:

  59°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  ∠N +∠L = 180°

  (a +16) +(a -18) = 180

  2a = 182 . . . . . . . . . . add 2

  a = 91 . . . . . . . . . . . . divide by 2

Then the measure of angle M is ...

  ∠M = (a+30)° = (91 +30)° = 121°

and angle K is its supplement.

  ∠K = 180° -121°

  ∠K = 59°

Determine the equation of the graph in its final position if the graph of y = 2*
is translated 2 units to the right and then 7 units upward.

Answers

Step-by-step explanation:

Work out the size of angle A.
11 cm
9 cm
38°​

Answers

Answer:

38° because the other two are cm? also you haven't linked a photo so I can't work out angle A

Solve for y. y + 1 = 17 y = Submit​

Answers

Answer:

y=16 bc 17 -16 =1 which if u do backward equals the same thing

and all together is

18y+1 and just leave it like that dont touch the numbers or anything bc you cant take a 1 and join it with a variable

you can only join numbers with numbers and variables with variables

Hellllppppppppppppppp!!!!!

Answers

A, and if I’m wrong don’t sue me

please help me! no links please im begging u ;(

Answers

9514 1404 393

Answer:

  x = 70

Step-by-step explanation:

The angle between the tangents is the supplement of the intercepted arc:

  x° = 180° -110°

  x° = 70°

__

Alternate solution

The exterior angle x° is half the difference of the intercepted arcs. Long arc ACB is 360° -110° = 250°, so we have ...

  x° = (250° -110°)/2 = 140°/2

  x° = 70°

__

If you work this alternate solution generically, you find it is the same as the first solution.

  x = ((360 -AB) -AB)/2 = (360 -2AB)/2 = 180 -AB

For this question, if the answer is not a whole number, enter it as a fraction using / as the fraction bar.

Rajek, a truck driver, hauls containers for his customers. One customer wants to know the total amount of cardboard that can fit in a container at one time. The truck Rajek uses is shown below.



The base of the container has an area of 50 1/4 square feet.

Answers

Answer:

226 1/8

Step-by-step explanation:

Substitute the measurements of the container into the formula.

The amount of cardboard Rajek can fit in the container at one time is  cubic feet.

The total surface area of the container is 9L + 9W + 50 1/4

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

To find the total amount of cardboard that can fit in the container at one time, we need to find the surface area of the container.

The container has a rectangular base with an area of 50 1/4 square feet.

Let's assume the length of the base is L and the width is W.

We know that:

L x W = 50 1/4

We also know that the height of the container is 4(1/2) feet, which is equivalent to 9/2 feet.

The container has two identical sides, which are rectangles with a length of L and a height of 9/2 feet.

The surface area of one side is:

L x (9/2) = (9/2)L

The container also has two identical ends, which are rectangles with a width of W and a height of 9/2 feet.

The surface area of one end is:

W x (9/2) = (9/2)W

Finally, the container has a top, which is a rectangle with a length of L and a width of W.

The surface area of the top is:

L x W

To find the total surface area of the container, we add up the surface area of each of these parts:

Total surface area = 2(L x (9/2)) + 2(W x (9/2)) + (L x W)

Simplifying this expression, we get:

Total surface area = 9L + 9W + LW

We know that L x W = 50 1/4, so we can substitute this into the equation:

Thus,

The total surface area of the container is 9L + 9W + 50 1/4

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

5. The area of the greatest square that is cut from a rectangle of sides
7cm and 4cm is
(1)
49sq.cm (ii) 28sq.cm (iii) 16sq.cm (iv) 9sq.em

Answers

Answer:

16 cm²

Step-by-step explanation:

The dimension of rectangle = 7cm by 4 cm

The Area of the greatest square that can be cut from the rectangle :

The dimension has to be the Same to form a square :

Hence, the greatest width = 4cm

Therefore, taking the length also as 4cm

Area of square = side length²

Greatest area of square that can be cut = 4² = 16cm²

You deposit 5000 into an account that earns 4.3% annual interest compounded continuously. How long will it take for your investment to double? Round answer to the nearest hundredth.

Answers

Answer:

it would take 215 dollars a year so it would take 23.3 years

need help on geometry question :)

Answers

Answer:

the answer is 9√3

sin60°= p/h

√3/2 = x/18

by cross multiplication we get

18√3=2x

therefore: x=9√3

Answer:

I think it's 12√3

I don't know if I'm correct

(iii) A relation between a and b such that point (a,b) isequidistant from the points (8,3) and (2,7)​

Answers

Answer:

7.21 units

Step-by-step explanation:

GIven data

Point 1= (8,3)

x1= 8

y1= 3

Point 2=  (2,7)​

x2= 2

y2= 7

The expression for the distance between two points is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((2-8)²+(7-3)²)

d=√((-6)²+(4)²)

d=√36+16

d=√52

d= 7.21

Hence the distance between the points is 7.21 units

100 BRAINLY POINTS
f(x)=18,000(1-0.012)^x ; x represents the number of years since the car started to depreciate and 18,000 = the initial value of the car. What year will you recieve the car when the car value drops below $2,000? Please do a step by step

Answers

Answer:

Given

f(x)=18,000(.88)^x

We need to find the value of x when f(x) <2000

2000 = 18000(0.88)^x

0.88^x 2000/18000

0.88^x 1/9

• x = log (1/9) / log (0.88)

• x= 17 (rounded down)

After 17 years or during year 18 the car value will drop below $2000

Half of a number is equal to 14

Answers

28 is the answer



Half of 28 is 14


Solve the inequality? -4/9>10w

Answers

Answer:

w < -2/45

Step-by-step explanation:

To solve the inequality, solve for w.

Divide each side by 10:

-4/9 > 10w

-2/45 > w

So, the solution to the inequality is w < -2/45

Answer:

w<-2/45

w∈(-∞,-2/45)

Step-by-step explanation:

10w<-4/9  /10

w<-2/45

w∈(-∞,-2/45)

please help im literally crying i cant fail this please ​

Answers

For the surface area u take the surface and multiply the length by the width which is in this cas 7x4 then multiply, 7x4 is equal to 28.

Hope this helped, tell me if I’m wrong
Brainliest would be nice
Thank you

Which is the graph of the function f(x) = x2 + 2x + 3? On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3). On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3). On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3). On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3). AAAAAAA

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A rectangular garden is 20 ft longer than it is wide. Its area is 800 ft 2 . What are its dimensions?

Answers

Our equation for the area of a rectangle is l x w = A (length times width equals area)
We know that l=w+20 so we can plug this into our equation.
It is now, (w+20) x w =800
We can then solve for w
w^2 +20w =800
We can subtract 800 on each side to get
w^2 +20w - 800 =0
We then factor to get
(w-20)(w+40)=0
This gives us w =20 and w = -40
Width cannot be negative so our width will be 20 feet
Since our length is 20 more than this, then our length will be 40feet
So the dimensions of the rectangle are 20 ft wide by 40 ft long

I need answers plz guys help me now ​

Answers

Answer:

Equation : y=3x

Interpret the slope : 3

Interpret the y-Intercept : 0

Please help

look at picture

Any answers not related to the question above will be reported

Answers

Answer:

5206 cm^2

Step-by-step explanation:

2(31×23 + 31×35 + 23×35)

2(713 + 1085 + 805)

2(2603)

5206

.On 1st March 2001, the ratio of Freddie’s age to his mother’s age was 1:11
On 1st March 2018, the ratio of Freddie’s age to his mother’s age was 2:5
Write the ratio of Freddie’s age to his mother’s age on 1st March 2030

Answers

Answer:

[tex]Ratio =16 : 31[/tex]

Step-by-step explanation:

Let

x = Freddie's age and y = His mother's age

Given

2001:=  [tex]x : y = 1 : 11[/tex]

2018:= [tex]x +17: y + 17= 2 : 5[/tex]

Required

The ratio of their age in 2030

[tex]x : y = 1 : 11[/tex]

[tex]x +17: y + 17= 2 : 5[/tex]

Express as fractions

[tex]\frac{x}{y} = \frac{1}{11}[/tex] --- (1)

[tex]\frac{x+17}{y+17} = \frac{2}{5}[/tex] -- (2)

In (1), make y the subject

[tex]\frac{x}{y} = \frac{1}{11}[/tex]

[tex]y = 11x[/tex]

Substitute [tex]y = 11x[/tex] in (2)

[tex]\frac{x+17}{y+17} = \frac{2}{5}[/tex]

[tex]\frac{x+17}{11x+17} = \frac{2}{5}[/tex]

Cross Multiply

[tex]5(x +17) = 2(11x + 17)[/tex]

[tex]5x +85 = 22x + 34[/tex]

Collect like terms

[tex]22x - 5x = 85 - 34[/tex]

[tex]17x = 51[/tex]

[tex]x =3[/tex]

[tex]y = 11x[/tex]

[tex]y = 11*3[/tex]

[tex]y = 33[/tex]

This means that: In 2001, Freddie was 3 and his mother was 33

In 2030 (29 years after);

Freddie will be: 3 + 29 = 32

His mother will be: 33 + 29 = 62

So, the ratio is:

[tex]Ratio =32 : 62[/tex]

Divide by 2

[tex]Ratio =16 : 31[/tex]

city workers recorded the number of squirrels in a park over a period of time. At the first count, there were
30 total squirrels. After 1 year, the city workers recorded a total of 60 squirrels, and after 2 years there were
120
a. Write a function that represents the population of squirrels recorded over x number of years,
b. Assuming the same growth rate and no squirrel dies, what will the squirrel population be in 6 years?
Justify your answer mathematically

Answers

Function:

A. x times 60 = the amount of squirrels in that year

Answer

B. 6 X 60 = 360

Step-by-step explanation

Years   | Squirrels

______________

 1          |       60

---------------------------

   2      |       120

-------------------------

   3      |        180

-------------------------

  4      |        240

-------------------------

   5     |     300

-----------------------

   6    |     360

Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon. She decides to add 2 miles each day to her distance until she achieves her goal. If she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal? The correct answer is 176 miles.

Answers

Answer:

By the time she achieves her 26 mile goal Andrea will have run 176 miles.

Step-by-step explanation:

Since Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon and she decides to add 2 miles each day to her distance until she achieves her goal, to determine, if she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal the following calculation should be performed:

6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 = X

14 + 22 + 30 + 38 + 46 + 26 = X

36 + 68 + 72 = X

36 + 140 = X

176 = X

So, by the time she achieves her 26 mile goal Andrea will have run 176 miles.

Penzance, Edinburg and Aberdeen all lie in a straight line.

The distance from Penzance to Aberdeen is 660 miles.

The distance from Penzance to Edenburg is 542 miles.

Work out the distance from Edinburgh to Aberdeen.​

Answers

Answer: 505

Step-by-step explanation:

I searched it up

505 Is the answer!!
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