A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 1,200. In year 4, the population was 1,728.

The explicit rule for the geometric sequence is:

Answers

Answer 1

Answer:

nth term = 1000×1.2ⁿ⁻¹

Step-by-step explanation:

A State Began An Effort To Increase The Deer Population. In Year 2 Of The Effort, The Deer Population
Answer 2

The explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

What is a geometric sequence?

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.

Given that, in two years the deer population in a state forest was 1,200. In year 4, the population was 1,728,

Therefore,

a₄ = 1728 and a₂ = 1200

We have two terms of the GP, therefore, finding r,

r² = 1728 / 1200 = 1.44

r = 1.2

Therefore,

a₁ = a₂r¹⁻²

= 1200r⁻¹ = 1200/r

= 1200 / 1.2 = 1000

Therefore, the formula will be = aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

Hence, the explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

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Related Questions

iii) Find the values of x
when y = 1

Answers

If x = 3 and y = - 1 , find the values of the following using in identity: (9y^2 - 4x^2)(81y^4 + 36x^2y^2 + 16x^4)
Answer · 1 vote
Formula, a^3 - b^3 = (a - b)(a^2 + ab + b^2) a^3 + b^3

two friends are collecting stuffed animals Veronica has 5 more than double the number of stuffed animals as their friend Marissa together they have 32 stuffed animals if M represents the number of stuffed animals Marissa has write an equation to represent the number of Veronica stuffed animals​

Answers

Answer:

M x 2 + 5 = 32

Step-by-step explanation:

hope this helped if so please press the pink "thanks" button

Eli weighed 6 pounds, 5 ounces when he was born.
How many ounces did he weigh?
I’M TIMED PLZ HURRY

Answers

101 ounces
Please mark branliest

30 PTS

Is 2.6 < -6.2 explain

Answers

Answer:

No

Step-by-step explanation:

2.6> -6.2

2.6 is more positive

Answer:

no

Step-by-step explanation:

the 6.2 is negative so it's below zero therefore this is false

A submarine was situated 759 feet below sea level. If it ascends 125 feet, what is its new position?

Answers

Answer:

634

Step-by-step explanation:

it started 759 under went up 125 feet

use the equation 759-125=634

Please can someone work out BOTH PLS PLS ! I have only 5 mins till I had it in. 10 point!!!!

Answers

Answer:

after 15 it goes like:

72

132

238

153

50?

mean = 132

Step-by-step explanation:

You have two shapes - two identical isosceles triangles and a rectangle.
The area of a rectangle is base x height
The area of the two triangles is 2 x [(base x height*)/2]

12cm x 5cm = 60cm2
2 x (12cm x 4cm)/2) = 2 x (48cm2/2) = 2 x 24cm2 = 48cm2

60 + 48 = 108cm2

base or rect - 12cm
base of triangle - 12cm
height of rect - 5cm
height of triangle - 13cm - 5cm = 8cm /2 = 4cm for each triangle

A triangle has a base of 4x+2 and a height of x+4. Find the area.

Answers

Answer:

15 height

Step-by-step explanation:

Answer:

2x^2 + 9x + 4

Step-by-step explanation:

To find the area of a triangle, use the formula, 1/2 · base · height = area.

If we plug the given expressions into the formula, we get

1/2(4x+2)(x+4)

Which simplifies to

(2x+1)(x+4)

=2x^2 + 9x + 4


One number is nine more than a second number. Four times the first is 6 less than 2 times the second. Find the numbers.

Answers

9514 1404 393

Answer:

  -12, -21

Step-by-step explanation:

Let x represent the first number. Then the second is x-9. The other relation is ...

  4x = 2(x-9) -6

  2x = -24 . . . . . subtract 2x, simplify

  x = -12

  x-9 = -21

The first number is -12; the second number is -21.

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SHOW THE WORK PLSSS

Answers

Answer:

[tex] \frac{9 {x}^{4} {y}^{3} }{24 {x}^{ - 2}y } \\ \frac{3 {x}^{2} {y}^{2} }{8} [/tex]

Please help! I need by tomorrow!

Answers

Answer:

-1 = -6

-5 = 2

2 = 4

or it could be

-1,-1

-5, -1

2,2

Step-by-step explanation:

Pls help I’ll brainlest ASAP ASAP

Answers

Answer:

3

Step-by-step explanation:

9 times 3 is 27. 27 plus 8 is 35

Answer:

d=3

Step-by-step explanation:

RJ's recipe for cupcakes calls for sugar, flour, and milk in the ratio of 3:4:2. If a batch of
cupcakes contains 12 tablespoons of flour, how many tablespoons of sugar does it contain?
A) 9 tablespoons
B) 6 tablespoons
C) 10 tablespoons
D) 15 tablespoons

Answers

The answer is C 10 tablespoons
The answer is C 10 tablespoons

4y/2x evaluate the expression when x=4 and y= -6​

Answers

AnswerJust plug in x=-3, y=2 and z=-1 and simplify to get 2%28-3%29-%284%282%29-3%29%2B5%28-3%29%28-1%29=-6-%288-3%29%2B15=-6-5%2B15=4. So 2x-%284y-3%29%2B5xz=4 when x=-3, y=2 and z=-1

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Plug in 4 as x and -6 as y

4y/2x

4(-6) / 2(4)

-24 / 8

= -3

So, the expression is equal to -3

Please help
May need to zoom in

Answers

Answer:

7%=0.07, 25%=0.25, 6.5%=0.065, 5%=1/20, 15%=3/20

Step-by-step explanation:

Feel free to ask questions if you don't know how to find the answer

7% = 0.07
25% = 0.25
6.5% = 0.065
5% = 1/20
15% = 3/20

Can someone please help me (25 points)

Answers

Answer:

[tex]V=343\,\,cm^3[/tex]

Step-by-step explanation:

Recall that fractional exponents are other form of representing roots.

In our case, the formula for the volume of the cube in terms of area of a face, is also written as:

[tex]V=A^\frac{3}{2} =(\sqrt{A} )^3[/tex]

which for the case of a cube with face area of 49 cm^2 becomes:

[tex]V=(\sqrt{49} )^3=7^3=343\,\,cm^3[/tex]

Please, please, please, please help

Answers

Answer:

27

Step-by-step explanation:

. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 15 freshmen, 18 sophomores, 10 juniors, and 7 seniors. If all students are equally likely to be picked, determine the probability of the group contains exactly seven seniors and three juniors.

Answers

Answer:

Approximately 0% probability of the group contains exactly seven seniors and three juniors.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

7 seniors, from a set of 7.

3 juniors, from a set of 10. So

[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]

Total outcomes:

10 students froms a set of 50. so

[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]

Approximately 0% probability of the group contains exactly seven seniors and three juniors.

what is 452÷6 in long division​

Answers

Answer: 75.333333...

Step-by-step explanation: Might want to round that number to the nearest tenths. This number is a repeating digit.

Here we will show you step-by-step with detailed explanation how to calculate 452 divided by 6 using long division.

Before you continue, note that in the problem 452 divided by 6, the numbers are defined as follows:

452 = dividend

6 = divisor

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 452 on the right side like this:

6 ⟌ 4 5 2

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

0

6 ⟌ 4 5 2

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

0

6 ⟌ 4 5 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

0

6 ⟌ 4 5 2

- 0

4

Step 5:

Move down the 2nd digit of the dividend (5) like this:

0

6 ⟌ 4 5 2

- 0

4 5

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

0 7

6 ⟌ 4 5 2

- 0

4 5

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

0 7

6 ⟌ 4 5 2

- 0

4 5

4 2

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3

Step 9:

Move down the last digit of the dividend (2) like this:

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 10:

The divisor (6) goes into the bottom number (32), 5 time(s). Therefore put 5 on top:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 11:

Multiply the divisor by the result in the previous step (6 x 5 = 30) and write the answer at the bottom:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

3 0

Step 12:

Subtract the result in the previous step from the number written above it. (32 - 30 = 2) and write the answer at the bottom.

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

- 3 0

2

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 452 divided by 6 calculated using Long Division is:

75

2 Remainder

Mark as brainlist

anyone know this ......

Answers

Answer:

4/1

or its 1/4

Step-by-step explanation:

it is 4/1.

it is a positive slope because it changes from the left going up to the right, therefore making any options with a fraction incorrect.

Solution to the systems of equations,
g(x)=3x+2
f(x)=|x-1|+1

Answers

Hi there! :)

[tex]\large\boxed{\text{ x = 0, or (0, 2)}}[/tex]

The solution of g(x) = 3x + 2 and f(x) = |x - 1| + 1 is where the two lines intersect.

According to the graph, the functions intersect at the point (0, 2), or x = 0. This is the solution to the system of equations.

We could also prove this algebraically by setting the two equations equal to each other:

3x + 2 = | x - 1 | + 1

Assume the absolute value function is negative:

3x + 2 = -(x - 1) + 1

Simplify:

3x + 2 = -x + 2

Add x to both sides:

4x + 2 = 2

Subtract 2 from both sides:

4x = 0

x = 0. This is the solution to the system.


g(x)=3x+2 = 2/3
X = 0.6


f(x)=|x-1|+1 = no x intercept/0

11. Find the slope given two points.
(-1, 4) and (4, -3)

Answers

Answer:

m = -7/5

Step-by-step explanation:

The shaded cube has a volume of 1 cubic unit. Cubes like this one will be used to completely fill a rectangular prism that has the dimensions shown.

Answers

Answer:

it also shows the same dimensions

as all Δ are of 90°

Step-by-step explanation:

plz follow mr

I want to know if I’m right?

Answers

Answer:

Yes because length  x with x height, which equals 90

Step-by-step explanation:

what is a - 2b = -10 for b

Answers

Answer:

b=5

Step-by-step explanation:

Well, lets first divide by -2 on both sides. -10 divided by -2 is gonna be 5. So, b=5

a rectangle has perimeter 86 cm and length 37 cm. what is its width

Answers

Answer:

6 cm

Step-by-step explanation:

37 × 2 = 74 cm86 - 74 = 12 cm12 ÷ 2 = 6 cmSo, the width is 6 cm

I hope this helps!

Answer:

The rectangle's width is 6.

Step-by-step explanation:

You are given the perimeter is 86 cm. The perimeter is the sum of all the sums. For a rectangle, use the formula, P = 2l + 2w. So, we plug the given into our equation: P = 86, l = 37. This results in:

86 = 2(37) + 2w

86 = 74 + 2w

Subtract 74 on each side.

2w = 12

Then, divide each side by 2.

w = 6

Hopefully this helped. And good luck in your studies.

You purchase a new mountain bike for $1,575. You put a 10% down payment and $65.56 per month on a 24 month purchase plan. Determine the total finance charge.

Answers

Answer:

c believe me

Step-by-step explanation:

In obtuse triangle ABC, mA = 104 and mC = 32. Find mB.

Answers

If I’m right a triangle = 180, so 104+32 = 136. Now 180-136=44 if it’s not a answer just redo my math because at the moment I have no paper.

Solve the equation
v-5/6=-7/8

Answers

first make denominators the same: v-20/24=-21/24
add 20/24 to both sides: v=-1/24
answer: v=-1/24

Forest Gump walks 30 miles a week for exercise. He has completed 45%
of his weekly goal. How many more miles does Forest have to walk to
meet his goal? *
A. 16.5
B. 13.5
C. .45
D. 20

Answers

Answer

A. 16.5

Step-by-step explanation:

First you calculate what 45% of 30 is. Then you subtract that from 30.

-6x-(-8)=2
step by step

Answers

Equation/Question:

-6x-(-8)=2

Answer/Way I did it:

1. Remove parentheses.

-6x+8=2

2. Subtract 8 from both sides.

-6x=2-8

3. Simplify  2-8 to  -6.

-6x=-6

4. Divide both sides by -6.

x=1

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

Checking:

Equation/Question:

−6x−(−8)=2

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

1. Let x=1.

−6×1+8=2

2. Simplify  -6×1  to  −6.

-6+8=2

3. Simplify  -6+8 to  2.

2=2

Done by NeighborhoodDealer

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