a group of biologists counted the number of birds in migration patterns. The number of birds in each ob observation, but some of the data were lost. Which expression models the number of birds in the nth observation? please help me

A Group Of Biologists Counted The Number Of Birds In Migration Patterns. The Number Of Birds In Each

Answers

Answer 1

Answer:

56 + 6(n - 1)

Step-by-step explanation:

To know which of the equation represent the nth term, we simply test each equation to see the one that will satisfy the table given above.

This can be obtained as follow:

For 56 + 6(n - 1)

1. n = 2

56 + 6(n - 1) = 56 + 6(2 - 1)

= 56 + 6(1)

= 56 + 6

= 62

2. n = 5

56 + 6(n - 1) = 56 + 6(5 - 1)

= 56 + 6(4)

= 56 + 24

= 80

For 56 + 12(n - 1)

1. n = 2

56 + 12(n - 1) = 56 + 12(2 - 1)

= 56 + 12(1)

= 56 + 12

= 68

2. n = 5

56 + 12(n - 1) = 56 + 12(5 - 1)

= 56 + 12(4)

= 56 + 48

= 56 + 24

= 104

For 62 + 6(n - 1)

1. n = 2

62 + 6(n - 1) = 62 + 6(2 - 1)

= 62 + 6(1)

= 62 + 6

= 68

2. n = 5

62 + 6(n - 1) = 62 + 6(5 - 1)

= 62 + 6(4)

= 62 + 24

= 86

For 62 + 12(n - 1)

1. n = 2

62 + 12(n - 1) = 62 + 12(2 - 1)

= 62 + 12(1)

= 62 + 12

= 74

2. n = 5

62 + 12(n - 1) = 62 + 12(5 - 1)

= 62 + 12(4)

= 62 + 48

= 110

From the illustrations made above,

Only equation 56 + 6(n - 1) satisfied the table.

Therefore, the expression 56 + 6(n - 1) can be used to obtain the nth term.


Related Questions

express1470 and 7056 as a product of prime factors hence eveluate leaving the answer in prime factors form

Answers

Answer:

Step-by-step explanation:

the prime factors of 1470= 2 x 3 x 5 x 7 x 7

also of 7056=2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

hence of

1470 x 7056=2 x 3 x 5 x 7 x 7 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

required answer pls hit the stars and brain-list it

Write an equation of the line below.

Answers

Answer: y=(-1/4)x

Step-by-step explanation:

slope-intercept form: y=ax+b

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

#1 Find the slope

- Use rise/run: -(2/8)=-1/4

-Use slope formula: (2-0)/(-8-0)=2/-8=-1/4

#2 Find the y-intercept

- Given the point (0,0), the y-intercept is already shown which is 0

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

a=-1/4

b=0

y=(-1/4)x

For the function f(x) = 6x − 8, identify the values of f(0), f(1/2), and f(−2).

Answers

Answer:

[see below]

Step-by-step explanation:

Replace 'x' with the given value and evaluate.

For f(0):

[tex]f(0)=6x-8\\\\f(0)=6(0)-8\\\\f(0)=0-8\\\\\boxed{f(0)=-8}[/tex]

For f(1/2):

[tex]f(1/2)=6(1/2)-8\\\\f(1/2)=3-8\\\\\boxed{f(1/2)=-5}[/tex]

For f(-2):

[tex]f(-2)=6(-2)-8\\\\f(-2)=-12-8\\\\\boxed{f(-2)=-20}[/tex]

Hope this helps.

Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the probability that a randomly selected car will require less than 25 minutes to service?

Answers

Answer:

The probability is  [tex]P(X < 25) = 0.308[/tex]

Step-by-step explanation:

From the question we are told that

   The amount of time is uniform probability distribution between 21 and 38 minutes.

  Given that the amount of time is uniformly distributed then  the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as

           [tex]P(X < 25) = \frac{ 25 - 21}{38 - 21}[/tex]

=>       [tex]P(X < 25) = 0.308[/tex]

     

f (x) = 2(x)2 +59/(x+2)

Answers

The correct answer is X= -31.5

Li-Hua wants to create a triangular fame. She has two pieces of wood, which are 6 inches long and 9 inches long, to use for two sides of the triangle. Which of the following CANNOT be the lenth of the third frame and why?
a) 4 inches
b) 6 inches
c) 13 inches
d) 16 inches

Answers

Answer:

16 inches

Step-by-step explanation:

in a triangle, the sum of any two sides must be greater than the third side

Solve x≤0 or x≥−4 and write the solution in interval notation.

Answers

Answer:

-4 ≤ x ≤ 0

Step-by-step explanation:

Given

x ≤ 0 or x ≥ -4

Required

Write using Interval notation

x ≤ 0 or x ≥ -4

This can be rewritten as

x ≤ 0 or -4 ≤ x

Reorder the above inequality to give:

-4 ≤ x or x ≤ 0

The above inequality can then be combined to give

-4 ≤ x ≤ 0

Hence, the interval notation of x ≤ 0 or x ≥ -4 is -4 ≤ x ≤ 0

Could you answer this

Answers

The question is already answered, what are you trying to ask for?

In a triangle ABC, AB=AC and ˂A=70°, find the angles,˂B and ˂C






please help !!!!!! i will mark brainliest for the best answer

Answers

The total sum of all three angles in any triangle is 180 degrees.
Since A = 110 degrees, so B + C = 180 - 110 = 70 degrees.
Since AB = AC, we have B = C.
Therefore, B = C = 70/2 = 35 degrees.

ic
А
50
B
(2x + 260 )°
O A. O
B. 2
C.5
OD.7

Answers

Answer:

[tex]\Huge \boxed{x=0}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

y + 50 = 180

y = 180 - 50 = 130

We can use Angle formed by a chord and tangent theorem to solve for x.

The angle formed by a chord and tangent is half the measure of the intercepted arc.

130 = 1/2(2x+260)

Expand brackets.

130 = x+130

Subtract 130 from both sides.

x = 0

BRAINLIEST AND HELLA POINTS Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

Hey there!

4a^2-20a+25 can be factored to (2a-5)(2a-5). Thus, the side length of the square is 2a-5. Basically, we want to find two of the same binomials that can multiply to get 4a^2-20a+25. For example, 2a times 2a = 4a^2, and you can use the foil method to solve for the rest.

4a^2 - 20a +25

(2a)^2 - 20a + (-5)^2

(2a - 5)^2

(9a2 − 16b2) is just a difference of squares, and can be factored to (3a+4b) and (3a-4b). The difference of squares formula can give us this.

Let me know if this helps :)

Answer:

Step-by-step explanation:

Part A

[tex]4a^{2} -20a+25\\\\=(2a)^2-2(5)(2a)+5^2[/tex]

does that seems familiar?

it's because it's a perfect square that can be factorized as

[tex](2a-5)^2[/tex]

so the length of each side is

2a-5 both of them

Part B

[tex]9a^2-16b^2[/tex]

[tex](3a)^2-(4b)^2[/tex]

that's a difference of squares you know [tex]x^2-y^2=(x-y)(x+y)[/tex]

so

[tex](3a-4b)(3a+4b)[/tex]

so the lengths are

3a-4b and 3a+4b

(–6x2 – 3x – 1) - (x + 8)

Answers

Answer:

-6x^2-4x-9

Step-by-step explanation:

(–6x^2 – 3x – 1) - (x + 8)

Distribute the minus sign

–6x^2 – 3x – 1 - x - 8

Combine like terms

-6x^2-4x-9

Latoya rolled a number cube 500 times and got the following results. Fill in the table below. Round your answers to the nearest thousandths

Answers

Answer:

a) experimental: 164/500 = 41/125, which is 0.328

b) theoretical: 2/6 = 1/3, which is 0.333333....

c) the first answer, small difference

Step-by-step explanation:

Patricia deposited $612.40 in a savings account that earns 3.2% simple interest. What is Patricia's account balance after thirteen years?
$254.76
$867.16
$632.00
$2,547.58

Answers

Answer:

Patricia's account balance after thirteen years is $867.16

Step-by-step explanation:

This problem is on simple interest calculation

we know that the formula for simple interest is given as

A= P(1+rt)

Given that

P= $612.40

r= 3.2%= 0.032

t= 13 years

Applying the formula we have

A= 612.40(1+0.032*13)

A= 612.40(1+0.416)

A= 612.40(1.416)

A= 867.1584

A= $867.16

the product of nine and the difference between a number and five

5-9x
9(x-5)
9(5-x)
9x-5​

Answers

Answer:

9(x-5)

Step-by-step explanation:

Product of 9 = Multiply by 9

Difference = Subtract

Number = x

Using algebraic expressions, the product of 9 and the difference between the number (x) and 5 is expressed as: 9(x - 5).

What is an Algebraic Equation?

An algebraic equation involves a mixture of numbers and variables, in which case, the variable is used to represent an unknown number.

Let variable x represent the number

Product of 9 and the difference between (x - 5) is expressed as an algebraic expression as: 9(x - 5).

Learn more about algebraic expression on:

https://brainly.com/question/2164351

an empty suitcase has a mass of 2 kilograms. Draw a bar model to find its mass in grams.

Answers

Answer:

Since I can't draw it I'll give you the answer. 2,000 g.

Step-by-step explanation:

A kilogram is 1000 grams. Multiply 1000x2 to get 2000. But add the g for grams or the answer is considered wrong by teachers.

3.6399; thousandths round it ​

Answers

Answer:

3.6399 = 3.640

Step-by-step explanation:

[tex]3.6399\\1\:2\:3[/tex]

Rounding to nearest thousandth means rounding to 3 decimal place

(0 to 4) =round down

(5 to 9)= round up

Please help fast!, i'd really like the correct answers- :'O

Answers

Answer:  2/5

Step-by-step explanation:

[tex]-\frac{2}{5} + \frac{4}{5}[/tex]= 2/5

Answer:

−2/5 + 4/5= 2/5

2/5

I'd love brainliest btw (❁´◡`❁)

Please help me and answer this in 20 mins please

Answers

a) The perimeter of question a's shape is 18 units.

b) The answer to question b is 28 ft.

-28/((-12+9)-(9+12/3)+1)

Answers

The answer is -1.86




Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4)0=(3x+2)(x−4)0, equals, left parenthesis, 3, x, plus, 2, right parenthesis, left parenthesis, x, minus, 4, right parenthesis Erik said, “The right-hand side is factored, so I'll use the zero product property.” Caleb said, “I'll multiply (3x+2)(x-4)(3x+2)(x−4)left parenthesis, 3, x, plus, 2, right parenthesis, left parenthesis, x, minus, 4, right parenthesis and rewrite the equation as 0=3x^2-10x-80=3x 2 −10x−80, equals, 3, x, squared, minus, 10, x, minus, 8. Then I'll use the quadratic formula with a=3a=3a, equals, 3, b=-10b=−10b, equals, minus, 10, and c=-8c=−8c, equals, minus, 8." Whose solution strategy would work?

Answers

Answer:both

Step-by-step explanation:

Answer:

Both :)

Step-by-step explanation:

The Inka Kola Soda Company has heard cmp1aints that the amount of soda in their 12-oz. cans is less than 12 ounces. A random sample of 36 12-oz soda cans is taken, resulting in a sample mean of 11.85 oz and a sample standard deviation of s = .18 oz. Assuming that the population is normal, a 95% confidence interval for the true mean amount of soda in a 12-oz can will be:_______
a. 11.85 plus or minus 0.0494
b. 11.85 plus or minus 0.0588
c. 11.85 plus or minus 0.0609
d. 11.85 plus or minus 0.0784

Answers

Answer:

b. 11.85 plus or minus 0.0588

Step-by-step explanation:

Give the following :

Sample mean (m) = 11.85 oz

Sample standard deviation (s) = 0.18

Confidence interval = 95%

Number of observations (n) = 36

Using the formula:

Mean ± Z95% × (sd/√n)

Z score at 95% confidence interval = 1.96

11.85 ± [1.96 × (0.18/√36)]

11.85 ± [1.96 × (0.18 / 6)]

11.85 ± (1.96 × 0.03)

11.85 ± 0.0588

A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of the rectangle. ​

Answers

Answer:

Arectangle=27.68cm (approximately)

Step-by-step explanation:

in order to find the area of the rectangle first you need to find the measure of the length and width.

since both of them aren't given ,use trigonometry to find the value of the length and width.

sin30°=opposite/hypotenuse

sin30°=opposite/8cm

opposite=sin30°*8cm. >sin30°=0.5

opposite=4cm

cos30°=adjacent/hypotenuse

cos30°=adjacent/8cm

adjacent=cos30°*8cm. cos30°=0.866

adjacent=6.92cm (approximate value)

Arectangle= bh

Arectangle=4cm*6.92cn

Arectangle=27.68cm

will mark brainliest, 60 points

Answers

Answer:

21 C

22 B

23 169

Step-by-step explanation:

21 3m mean 3 times a certain number

22 the negative make the 4 go negative and the -5 positive

23 i did 5^2-4^2= 9

then 6^2 divided by 9+9= 13 i took the 9 from the 5^2 problem then divided it by 6^2

then 13 x 13 = 169

- On an arcade game, Connor got the 100-point bonus 5 times and the 150-point penalty 3 times. If he started with 200 points, how many points does he have now? Explain how you found your answer.​

Answers

Answer: 1,150

Step-by-step explanation:

100 x 5 = 500

150 x 3 = 450

500 + 450 + 200

Connor has 1,150 points

Is the point (2,14) a solution of the equation y = 5x - 3?

Answers

Answer: No it is not

What are the solutions to the equation? 4x ^ 3 = 36x

Answers

Answer:

x = - 3, x = 0, x = 3

Step-by-step explanation:

Given

4x³ = 36x ( subtract 35x from both sides )

4x³ - 36x = 0 ← factor out 4x from each term

4x(x² - 9) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x² - 9 = 0 ⇒ x² = 9 ⇒ x = ± [tex]\sqrt{9}[/tex] = ± 3

Answer:

4x^3=36x.

4x^3-36x=0.

4x^3=36x.

4x(x^2-9)=0.

4x=0,x^2-9=0.

x=0,x^2=9.

x=0,√9=+3 or -3.

x=0,+3,-3.

Thank you for the question

A set of values is shown belovi
12.7, 22, 23.5, 24, 11, 22
What is the mean absolute deviation of the set of values?
A o
B 3.96
C 4.9
D 19.2

Answers

Answer:

sorry yall i can help u

Step-by-step explanation:

Of the 80 trees planted, 2 out of 5 survived the winter. How many trees died during the winter?

Answers

Answer:

32

Step-by-step explanation:

2/5x80

16x2

32

Hope this helps

Answer:

48 died

Step-by-step explanation:

2 out of 5 survived that means 5-2 = 3

3 out of 5 died

Multiply that fraction that died by the total number

3/5 * 80

48

The function intersects its midline at (-1.25,-3) and a maximum point at (0,4) Find a formula for f(x) Give an exact expression.

Answers

Answer:  y = 7cos(0.4π x) - 3

Step-by-step explanation:

The equation of a cosine function is:    y = A cos(Bx - C) + D    where

Amplitude (A) is the distance from the midline to the max (or min)Period (P) is the length of one cosine wave   -->   P = 2π/BPhase Shift (C/B) is the horizontal distance shifted from the y-axisMidline (D) is the vertical shift. It is equal distance from the max and min

Midline (D) = -3

(-1.25, -3) is given as a point on the midline.  We only need the y-value.

Horizontal stretch (B) = 0.4π

The max is located at (0,4) and also at (5, 4).  Thus the period (length of one wave) is 5 units.

[tex]P=\dfrac{2\pi}{B}\qquad \rightarrow \qquad 5=\dfrac{2\pi}{B}\qquad \rightarrow \qquad B=\dfrac{2}{5}\pi[/tex]          →     B = 0.4π

Phase Shift (C) = 0

The max is on the y-axis so there is no horizontal shift.

Amplitude (A) = 7

The distance from the midline to the max is: A = 4 - (-3) = 7

Equation

Input A = 7, B = 0.4π, C = 0, and D = -3 into the cosine equation.

            y = A cos(Bx - C) + D

            y = 7cos(0.4π x - 0) - 3

            y = 7cos(0.4π x) - 3

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