Every time an insect jump forward the distance covered is half of previous jump. if the insect initially jumped 8.4cm calculate to the nearest two decimal places distance of sixth jump​

Answers

Answer 1

The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.

What is a geometric sequence?

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

Every time an insect jump forward, the distance covered is half of the previous jump. If the insect initially jumped 8.4 cm.

The equation is given as,

aₙ = 8.4 · (1/2)ⁿ⁻¹

The distance that he jumped in the sixth jump will be given as,

a₆ = 8.4 · (1/2)⁶⁻¹

a₆ = 8.4 / 64

a₆ = 0.13125

a₆ ≈ 0.13

The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.

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Related Questions

What is the solution to the equation? x+17=43

Answers

Hi there!

[tex]\large\boxed{x = 26}[/tex]

x + 17 = 43

Isolate for x by subtracting 17 from both sides:

x + 17 - 17 = 43 - 17

x = 26

Answer:

x=26

Step-by-step explanation:

x+17=43

-17. -17

x= 26

Find the area of the cross section that is parallel to the bases.



Group of answer choices

1122


562


842


962

Answers

The correct one would be a 1122

You put $939 into an investment at 8% for 6 years. What will the balance be at the end of 6 years?

Answers

Answer:

At simple interest it will be 939+939×6×0.08=$1389.72.

Step-by-step explanation:

HELPPP
Consider the function G(x)=x^2 + 7x – 18/x^2+2x-8

Which type of discontinuity does the function have at x = -4?

1.jump
2.mixed
3.infinite
4.removable

Answers

Answer:

it is an infinite discontinuity.

Step-by-step explanation:

Removable type of discontinuity does the function have at x = -4. Option  4 is correct.

What is the definition of removable discontinuity?

If the limit of the function at the place of discontinuity exists and the value of the function exists, but they are not equal to each other, the discontinuity is removable.

We may eliminate the discontinuity by making the function's value equal to the function's limiting value at that time.

The given function is;

G(x)=x²+ 7x – (18/x)²+2x-8

G(-4)=(-4)²+7×(-4)- (18/-4)²+2(-4)-8

G(-4)=16-28-20.25-8-8

G(-4)=16-64.25

G(-4)=- -48.25

The given data on putting the value gives the negative values.

Hence, the removable type of discontinuity does the function have at x = -4

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What is the measure of x?

DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :))

Answers

Answer:

A

Step-by-step explanation:

the sum of the two angles is 90 degrees

x + 52 = 90

x = 38 degrees

It’s A. It’s a 90 degree angle so if u already have 52, you ad 38

if the radius of the base is 2 cm and the height is 24cm what is the volume?

Answers

V = pi x r^2 x h
V = pi x 2^2 x 24
V = 301.59

Does anyone have these answers??????? Lesson 2: Angles and the Unit Circle
Algebra 2 B Unit 7: Periodic Functions and Trigonometry

Answers

Answer:

145

Step-by-step explanation:

90+55=145

Can someone answer this

Answers

Answer:

[tex] m = \boxed{1} \: \: c = \boxed{4}[/tex]

Step-by-step explanation:

[tex]y = x + 4 \\ equating \: it \: with \\ y = mx + c \\ m = \boxed{1} \: \: c = \boxed{4}[/tex]

A boat will pass the Colby bridge and the wave bridge on the dell river. Rename each other the two bridge opening times. there are 60 minutes in an hour so use 60 as a common denominator. Then rename each opening time and find another common denominator. Explain how you found your answers.

Answers

The bridge opening times when there are 60 minutes in an hour will be 45/60 and 10/60.

How to illustrate the fraction?

From the information, a boat will pass the Colby drawbridge and then the Wave drawbridge and then the Wave drawbridge.

From the table, Colby is on the 3/4 hour. This will be:

= 3/4 × 60

= 45

Also, Wave Bridge will be:

= 1/6 × 60

= 10

Therefore, it's 45/60 and 10/60 because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10.

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Complete question

On the Dell River, a boat will pass the Colby drawbridge and then the Wave drawbridge and then the Wave drawbridge. Rename each of the two drawbridge opening times. There are 60 minutes in an hour, so use 60 as a common denominator. Then, rename each opening time using another common denominator

Bridge name:

1. Asher Cross

2. Colby

3. Rainbow

4. Red Bank

5. Wave

Time of Opening:

1. On the hour

2. On the 3/4 hour

3. On the 2/3 hour

4. On the 1/4 hour

5. On the 1/6 hour

PLEASE HELP ME PLEASE !
Not hard !

Answers

Answer:

2.98

Step-by-step explanation:

What is the range of the given data set?

Answers

as it goes from 15 to 21, the range is 6 im pretty sure

[tex]\boxed{\huge\textsf{\boxed{\frak{Hey \ there!}}}}[/tex]

[tex]\bullet\large\textsf{ To find out the range you have to find the difference between the}\\\large\textsf{maximum and the minimum.}[/tex]

[tex]\bullet \large\textsf{ Reminder: the word difference in mathematics simply means subtract.}\\\large\textsf{So, if your teacher/anyone asks you what does it mean in math, tell}\\\large\textsf{them it is another word for subtraction.}[/tex]

[tex]\bullet\large\textsf{ The formula is: \underline{maximum} - \underline{minimum} = \boxed{\bf range}}[/tex]

[tex]\bullet \large\text{ Whereas, the MAXIMUM IS the GREATER/LARGER NUMBER.}\\\large\text{\& MINIMUM IS the LESS/SMALLER NUMBER.}[/tex]

[tex]\boxed{\star}\large\textsf{ Okay now lets answer your question }\boxed{\star}[/tex]

[tex]\square\large\text{\underline{ MAXIMUM}: \boxed{\bf 21}}[/tex]

[tex]\square\large\text{\underline{ MINIMUM:} \boxed{\bf 15}}[/tex]

[tex]\huge\textsf{21 - 15 = \boxed{your \ range}}[/tex]

[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}[/tex]

[tex]\huge\textsf{21 - 15}[/tex]

[tex]\huge\textsf{= 6}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: range = \bf 6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}[/tex]

Can y’all help me on question 34?!

Answers

The correct answer is b
the correct answer is C. closed dot means greater/less than or equal to. the symbol is just greater than.

A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let x represent the number of days the crew has worked.
Suppose that x and y are related by the equation y = 53+2x.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the change per day in the road's length?
miles
What was the road's length when the crew started working?

Answers

Answer: The equation y = 53+2x relates the variables x and y, where x represents the number of days the crew has worked and y represents the total length of the road.

The change per day in the road's length is given by the coefficient of x in the equation, which is 2. Thus, the change per day in the road's length is 2 miles.

The road's length when the crew started working is given by the constant term in the equation, which is 53. Thus, the road's length when the crew started working was 53 miles.

Step-by-step explanation:

Burritos Unlimited has 3 choices of tortilla, 4 choices of meat, 2 choices of rice, 3 choices of beans, 3 choices of cheese, 4 choices of salsa, and 3 choices of extra toppings. How many different burritos can they make with 1 choice of tortilla, 1 choice of meat, 1 choice of rice, 1 choice of beans, 1 choice of cheese, 1 choice of salsa, and 1 extra topping?

Answers

Answer:

They can make 2592 different burritos.

Step-by-step explanation:

In this question:

We multiply the number of options for each condiment.

1 choice of tortilla from a set of 3.

1 choice of meat from a set of 4.

1 choice of rice from a set of 2

1 choice of beans from a set of 3

1 choice of cheese from a set of 3

1 choice of salsa from a set of 4.

1 extra topping from a set of 3.

So

3*4*2*3*3*4*3 = 2592

They can make 2592 different burritos.

Match each expression on the left with an equivalent expression on the right. Not all of the options on the right will be used.
361,000
1,400
100 x 14
14(10)
361 - 1000
100(361)
36, 100
14,000
3,610
140

Answers

On solving the provided question, we can say that  on matching the expressions are 100X 14 = 1400 and 14(10) = 140 and 361 . 100 = 36100 and 100(361) = 36100

what is expression ?

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

so, on matching the expressions are

100X 14 = 1400

14(10) = 140

361 . 100 = 36100

100(361) = 36100

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pleaaaseeee help faassttttt i lost my calculator also my brain stopped working[tex]\sqrt{25} =?[/tex]

Answers

Answer:

The [tex]\sqrt{25}[/tex]= 5

Step-by-step explanation:

Your friend solved 7.15 + (-12.76) = 19.91. Are they correct? Explain your reasoning.

Answers

Answer:

he is not correct

correct answer is -5.61

Step-by-step explanation:

he added them together but did not account for the negative in the second term

Answer:

they are not correct because 7.15 + (-12.76) equals −5.61 not 19.91

Step-by-step explanation:

hope this helps

) Find the coordinates of the point A' which is the symmetric point
A(3. 2) with respect to the line 2.x + y - 12 = 0.​

Answers

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point  A(3, 2) with respect to the line 2x + y - 12 = 0.​

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

[tex]C( \dfrac{x+3}{2}, \dfrac{y+2}{2})[/tex]

Also, product of slope will be -1 .( Since, they are parallel )

[tex]\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1[/tex]

x = 2y - 1

So, [tex]C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})[/tex]

Also, C satisfy given line :

[tex]2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}[/tex]

Also,

[tex]x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}[/tex]

Therefore, the symmetric points is[tex]A'(\dfrac{31}{5}, \dfrac{18}{5})[/tex] .

What is the slope of the line perpendicular to: y= −1/3x −5

Answers

Answer

1/3

Step-by-step explanation:

A sector of a circle of 7cm has an area of 44cm².calculate the angle of the sector,correct to the nearest degree π =22\7​

Answers

Answer:

[tex]\theta=102.85^{\circ}[/tex]

Step-by-step explanation:

Given that,

The radius of circle, r = 7 cm

The area of sector, A = 44cm²

We need to find the angle of the sector. The formula for the area of sector is given by :

[tex]A=\dfrac{\theta}{360}\pi r^2[/tex]

Solve for [tex]\theta[/tex].

[tex]\theta=\dfrac{360A}{\pi r^2}\\\\\theta=\dfrac{360\times 44}{\dfrac{22}{7}\times 7^2}\\\\\theta=102.85^{\circ}[/tex]

So, the angle of the sector is equal to [tex]102.85^{\circ}[/tex].

2/3-5/6 over 3/4. What’s the answer

Answers

The value of (2/3 - 5/6) / 3/4 is -2/9.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

(2/3 - 5/6) / 3/4

2/3 - 5/6

= (4 - 5)/6

= -1/6

Now,

(-1/6 )/(3/4)

= -1/6 x 4/3

= -4/18

= -2/9

Thus,

The value is -2/9.

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A path is partially modeled by the function g(x) = x(x-3)(x + 6). What are the zeros of this polynomial function?

Answers

Answer:

[tex]x=(x-3)(x+6)[/tex]

WHAT IS THE ANGLE MEASUREMENTS?? AND TELL ME HOW YOU GOT IT.


PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .

Answers

In order to find the measure of each angle, it is important to remember that the sum of the interior angles of a triangle is 180 degrees.

= 10% and g(0) = logo. Which of the following statements is true?
O f(3) = 10% has a vertical asymptote
One of the function in increasing and one of them is decreasing
о
g(x) = log x has a horizontal asymptote
O.
The range of f(x) is the exact same as the domain of g(2)
AO
Illuminate Education TM Inc

Answers

The answer is gx= log x has

what is the slope of the line given by the equation 2x+3y=6

Answers

Step-by-step explanation:

Rearrange the terms by writing

3y = -2x + 6 ---> y = (-2/3)x + 2

The slope of this equation is m = -2/3

what is twenty-three thousandths written in standard form

Answers

Answer: 0.023 is twenty-three thousandths written in standard form!

Answer: 0.023

Step-by-step explanation:

What is the first step in evaluating the expression shown below?

12 ÷ (7.4 – 3.6) + 8 – 2


Subtract 7.4 – 3.6.


Divide 12 ÷ 7.4.


Add 3.6 + 8.


Subtract 8 – 2.

Answers

Answer:

Subtract 7.4 – 3.6

Answer:

Subtract 7.4-3.6

Step-by-step explanation:

Pemdas

Sara can finish 5 laps around the track in 6 minutes. What is her average speed in miles per hour, if it takes 12 laps around the track to run a mile?

Answers

9514 1404 393

Answer:

  4 1/6 miles per hour

Step-by-step explanation:

6 minutes is 1/10 hour, so Sara's speed is ...

  speed = distance/time

  speed = (5/12 mi)/(1/10 h) = 50/12 mi/h

  speed = 4 1/6 mi/h

Sara's speed is 4 1/6 miles per hour.

A company sells apples in packages of 4. The masses of the individual apples are normally distributed with a mean of 175g, and a standard deviation of 15g, . Assume that the weights of apples are independent from each other.

Let T=T equals the total weight of 4 randomly selected apples
Find the probability that the total mass is less than 685g.
You may round your answer to two decimal places.

Answers

Answer: P (T< 685) ≈ 0.31

Step-by-step explanation:

Help ASAP which transformation would take figure A to figure B

Answers

Answer:

The reflection over the x-axis

Answer:

a

Step-by-step explanation:

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