Arithmetic and Geometric Sequences


When an object is dropped from a tall building, it falls about 16 feet in the first second, 48 feet in the second second, and 80 feet in the third second, regardless of its weight.

How many feet would an object fall in the tenth second? ​

Answers

Answer 1

Answer:

the object will fall 5060 feet in 10 second.

Step-by-step explanation:

g= 9.8m/s^2 and 9.8×3.33=32.67 feet/s^2.

initial velocity (u)= 16 feet/second

time taken(t)=10 second

final velocity(v)= ?

now,

V= u+ GT

=16+32.67×10

=342.67feet/second

again

distance covered= VT+1/2gt^2

=342.67×10+1/2×32.67×100

=3426.7+1633.33

=5060 feet


Related Questions

10. It rained 375 inches in 15 hours. At this rate, how much will
it rain in 35 hours? Answer in decimal form.

Answers

Answer:

875

Step-by-step explanation:

375 divided by 15 =

25

25 times 35 =

875

Dividing 375 by 15 shows how much it rains per hour

Then times that by the number of hours to get your answer

Answer:

Step-by-step explanation:

Set this up as a proportion with the number of inches of rain on the top and the number of hours it rained on the bottom.

[tex]\frac{in.}{hrs}:\frac{375}{15}=\frac{x}{35}[/tex] and cross multiply to solve for x:

15x = 13125 so

x = 875 inches

I NEED HELP THIS IS DUE AT 11:59

Answers

Answer:

False I believe

Step-by-step explanation:

Any genius out there to solve this?
which is the missing number in the sequence below?
5,6,9,15,?,40

Answers

Answer:

25

Step-by-step explanation:

The pattern is + 1, + 3, + 6,...   i.e. + 1, + (1 + 2), + (1 + 2 + 3),...

.'. Missing number = 15 + (1 + 2 + 3 + 4) = 25.

Answer: 25!

Step-by-step explanation:

5, 6, 9, 15, ?, 40

5 + 1 = 6

6 + 1 + 2 = 6 + 3 = 9

9 + 1 + 2 + 3 = 9 + 6 = 15

15 + 1 + 2 + 3 + 4 = 15 + 10 = 25

25 + 1 + 2 + 3 + 4 + 5 = 25 + 15 = 40

Solve for x.
(x + 10)(x + 10) = 0
OA.
-100
OB.
-10
Ос.
10
OD.
100

Answers

(x + 10) (x + 10) = 0

This equation is saying that x plus 10 is equal to zero. It basically means that both expressions are equal to 0.

For example (3x + 4) (2x - 5) = 0

Both terms are equal to zero. So to find x you would have to solve for x.

x + 10 = 0
x = -10

2. Priscilla is drawing a map of her school that uses a scale in which 1.5 cm 1 point
on the map represents 3 ft. If the first hallway has a length of 120 ft, what
should the length of the hallway be on the map?
O
a. 40 cm
b. 60 cm
C. 30 cm
d. 45 cm

Answers

Answer:

The answer is 60cm. (b)

Step-by-step explanation:

For every 1.5cm on the map, it represents 3 ft on real-size scale.

In other words, for every 1cm on the map, it represents 3/1.5 = 2ft on real size scale.

If you want to find 120ft of real-size scale, you can use 120ft/2ft * 1cm which gives 60cm

Tom bought a pizza. He ate 1/3 of the pizza and gave some of it to his brother. He was left with 1/5 of the pizza. What fraction of the pizza did he give to his brother?

Answers

Answer:

2/3 = 10/15

1/5 = 3/15

10/15 - 3/15 = 7/15 of the pizza to his brothers

I NEED HELP PLEASE !!

Answers

Answer:14=x

Step-by-step explanation:

What is the perimeter of triangle XYZ?

Answers

Answer:

126

Step-by-step explanation:

Factor x2 – 19x – 20 completely.

Answers

Answer:

Step-by-step explanation:

x^2-19x-20

=x^2-(20-1)x-20

=x^2-20x+x-20

=x(x-20)+1(x-20)

=(x-20)(x+1)

Please Help me need help

Answers

Answer:

-1 * (x/y)

Step-by-step explanation:

-x/y = x /-y

Factor out the negative

-(x/y) = -(x/y)

This is equal to -1 * (x/y)

I need help with this problem. please help.

Answers

Answer:

B

Step-by-step explanation:

What is the equation of the line that has a slope of -2 and passes through the point (-1, 2)?

Answers

Answer:

[tex]{ \bf{y = mx + c}} \\ 2 = ( - 2 \times - 1) + c \\ c = 0 \\ \\ { \boxed{ \bf{y = - 2x}}}[/tex]

Answer:

y = -2x

Step-by-step explanation:

The equation of a line in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Using the point

2 = -2(-1)+b

2 = 2+b

Add -2 to each side

2-2 =b

0=b

y = -2x+0

y = -2x

-2(5x+8)=14+6x step by step

Answers

Answer:

x=-15/8

Step-by-step explanation:

Hi there!

We're given the equation -2(5x+8)=14+6x and we need to find the value of x

we do this by isolating the variable so that x is on one side, and everything else is on the other

First, we need to do the distributive property on the left, as the -2 is factored out of 5x+8 and it makes solving for x harder

-2(5x+8)=14+6x

multiply both 5x and 8 by -2

-10x-16=14+6x

add 16 to both sides to clear it from the left side (-16+16=0)

-10x-16=14+6x

      +16 +16

_____________

-10x=30+6x

subtract 6x from both sides (6x-6x=0)

-10x=30+6x

-6x         -6x

_____________

-16x=30

now, we do have x by itself, but we have -16 attached to it; we need the value of 1x, or x without any coefficient in the front of it

divide both sides by -16

x=30/-16

simplify (divide both sides by -2)

x=-15/8

we can leave it as an improper fraction

Hope this helps! :)

Answer:

x = 15 / 8

Step-by-step explanation:

−2(5x+8) = 14 + 6x

Simplify both sides of the equation.

−2(5x+8) = 14 +6x

(−2)(5x) + (−2)(8) = 14 +6x (Distribute)

−10x +−16 = 14 +6x

−10x −16 = 6x +14

Subtract 6x from both sides.

−10x −16 −6x = 6x + 14 −6x

−16x −16 = 14

Add 16 to both sides.

−16x −16 +16 = 14 + 16

−16x=30

Divide both sides by -16.

-16 x / - 16 = 30/-16

Simplify ( divide RHS side by - 2 )

x = 15 / 8

can someone help me pls

answer chocices
a.80

b.180

c.100
d.90

Answers

Answer:

<1= 100°

Step-by-step explanation:

<1=<5 Corresponding angles are equal

To find <5

180-80=100

Therefore <1=100

Suppose a normal distribution has a mean of 48 abd a standard deviation of 5. What is the probability that a data value is between 48 and 52?

Answers

Answer:

P(48<x<52) = 0.2881

Step-by-step explanation:

P(48<x<52) = normalcdf(lower,upper,µ,σ) = normalcdf(48,52,48,5) ≈ 0.2881

Therefore, the probability that a data value is between 48 and 52 is 0.2881, or about a 28.81% chance of occurrence.

A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? A. There were 2,451 boys surveyed and about 29% of them play video games. B. There were 2,996 girls surveyed, and about 45% of them play video games. C. There were 5,447 students surveyed, and about 54% of them do not play video games. D. There were 2,493 students surveyed, and about 34% of them are girl who do not play video games.

Answers

Answer:

c

Step-by-step explanation:

Match the corresponding sides.

Answers

DC corresponds to PO and AB corresponds to MN hope this helps!! :)
Explanation: they correspond to each other because they are the same model just a scaled down version of each other.

Solve the problem.

A teacher is going to assign each student a 3-digit code using the digits 0 through 4. How many codes are possible if no repetitions are allowed?
A.) 60
B.) 125
C.) 24
D.) 64

Answers

Answer:

24 codes are possible

Step-by-step explanation:

0 through 4 means we are to select from 0,1, 2 , and 4

That’s a total of 4

The first number has 4 choices, the second 3, the 3rd two and the last 1

The product of the choices are;

4 * 3 * 2 * 1 = 24 codes

What is the gradient of the blue line?

Answers

The slope or gradient of the blue line from the given graph is -3.3.

The equation of line is shown in the graph.

What is slope or gradient of a line?

The slope or gradient of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope or gradient = Rise/Run

From the given graph, the gradient of a line is

Slope = rise/run

= -4/1.2

= -3.3

Hence, the slope or gradient of the blue line from the given graph is -3.3.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ1

Evaluate the value of x to 1 d.p


Thank you

Answers

Answer:

value of x = 2.8

Step-by-step explanation:

By law of cosines,

[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2 \times b \times c \times cos(100) \\ {x}^{2} = {13}^{2} + {10}^{2} - (2 \times 13 \times 10 \times cos100) \\ = 169 + 100 - 260 \times 0.862 \\ = 269 - 260 \times 0.862 \\ = 7.758 \\x = \sqrt{7.758 } \\ = 2.785 \\ = approx \: 2.8[/tex]

4n + 2 = 6 (1/3n-2/3)
N=???

l give brainiest

Answers

Answer:

N= -3

Step-by-step explanation:

4n+2 = 6(1/3n - 2/3)

4n+2 = 2n - 4

2n +2 = -4

2n = -6

n = -3

Answer:

- 3

Step-by-step explanation:

4n + 2 = 6 ( 1 / 3 n - 2 / 3 )

Divide 2 on both sides,

2n + 1 = 3 ( 1 / 3 n - 2 / 3 )

2n + 1 = 3n / 3 - 6 /3

2n + 1 = n - 2

2n - n = - 2 - 1

n = - 3

please help!! i have no clue what to do and this packet is due tonight.

Answers

Answer:

[D] ∞

General Formulas and Concepts:

Calculus

Limits

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]

[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]

Step 2: Evaluate

Substitute in function [Limit]:                                                                           [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply:                                                                                                             [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method:                                                                                                 [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]

Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress?

Answers

The original price of the dress was $200. This is because 20% of 200 is $40 which was the price after the discount.
Hope this helps :>

find the ratio of the perimeter of two similar trapezoids with area 49cm^2 and 9cm^2

Answers

Answer:

3260 is the ratio of two similar trapizoids

Answer:

7:3

Step-by-step explanation:

(Ratio of perimeter)^2 = ratio of area.

Therefore

ratio of perimeter = sqrt(ratio of area) = sqrt(49/9) = 7/3

Estimate 16.26+4.169 by first rounding each number to the nearest tenth.

Answers

Answer:

16.3 + 4.2 = 20.5 (20.5 has not been rounded)

Step-by-step explanation:

I just rounded both numbers to the nearest tenth, it should be accurate. I hope I helped :)

16.26
+ 4.269
_______
20.529

=20.5
or you can do
16.26=16.3 when round
4.169=4.2 when rounded
add the new rounded numbers
16.3+4.2=20.5

key note: when rounding if the number is 5 or greater than 5 you add one the the numbers place you are rounding to.

What is the sum of the pink and green area?

Answers

Answer:

I think the answer is 11x

Answer:

11x

Step-by-step explanation:

Pink area  = 6x

Green area  = 5x

Total (sum) = 6x+5x =11x

2 birds are building a nest. Bird A is flying toward the nest at the same time bird B is flying away from it

Answers

Answer:

Step-by-step explanation:

is it that 1 bird is at the nest and the other is flying away ?

Heres another simple question!

The ordered pairs (t,36),(5,45) represent a proportional relationship. Find the value of t.

possibilities : 4,5,9,40

Answers

Answer:

4? ..... t = 4

5 × 9 = 45

4 × 9 = 36

Identify the range of the function shown in the graph.
A.y>=0
B.y<0
C.Y is all numbers
D.0 Which one is it?

Answers

B. I believe I just wanna get some points

Answer:

B

Step-by-step explanation:

The profit from a business is described by the function P(x) = -x^2 + 10x - 4, where x is the number of items made, in thousands, and P(x) is the
profit in dollars. How many items will maximize the profit?

A 5,000
B. 10,000
C. 20,000
D. 50,000

Answers

B is what it was for real life is a little more expensive but it

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

What is Profit ?

The money that you make when you sell something for more than it cost you.

For given example,

profit is described by the equation :

[tex]P (x) = -x^2 + 10x -4[/tex]

We need to maximize the profit P(x)

[tex]\Rightarrow \frac{d}{dx}P(x)=0\\\\\Rightarrow \frac{d}{dx}( -x^2 + 10x -4 ) =0\\\\\Rightarrow -2x+10=0\\\\\Rightarrow -2x=-10\\\\\Rightarrow x=5[/tex]

since , x is the number of items made in thousand

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

Learn more about profit :

https://brainly.com/question/11470255

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