A 14-foot ladder is leaned against a wall. If the base of the ladder is 6 feet from the wall, how high up the wall will the ladder reach?

Round to the nearest tenth if needed.

The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

The given sequence is 5, -25, 125,.......

Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.

We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].

Where, a = first term of the sequence, r= common ratio and n = number of terms.

Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get

[tex]a_n=5\times(-5)^{n-1}[/tex]

Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

To learn more about the geometric sequence visit:

https://brainly.com/question/11266123.

#SPJ4

Answer: I need this one too

Step-by-step explanation:

Answer:

180

180 - (98 + 46)

36

Step-by-step explanation:

Answer:

b g and e

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = £1100

r = 5%

t = 6 years

I =P*r*t

[tex]I =1100*\frac{5}{100}*6\\\\I=11*5*6\\\\I = 330[/tex]

Amount = P + I = 1100 + 330 = £1430

Answer:

D 68

Step-by-step explanation:

I think that's the answer

Answer:

71

Step-by-step explanation:

3×3 = 9

5×6 = 30

4 × 8 = 32

30+32+9= 71

Answer:

27

Step-by-step explanation:

math

Answer:

250 lifeguards

(P.S, i dunno if i got it right or not should be correct tho)

Step-by-step explanation:

15 km divide 0.06 for every life guard. therefore, there are 250 lifeguards

There will be 9 lifeguards

.6 x 15 = 9

0.06 x 15 = 0.9

0.9 as a whole number = 9

Therefore There will be 9 lifeguards

Answer: [tex]184,724.153[/tex]

Step-by-step explanation:

Given

In 1990, there were 1200 cell phone subscriber in small town of stephenville

It is increasing by 75% per year after 1990

In year 1991 it is

[tex]\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)[/tex]

In year 1992 it is

[tex]\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2[/tex]

So, it is increasing as [tex]1200(1.75)^x[/tex]

where [tex]x=[/tex]no of years spent

After 9 years, it is

[tex]\Rightarrow 1200(1.75)^9=184,724.153[/tex]

Answer:

Step-by-step explanation:

This is a linear relationship. We know this because as the number of songs increases by 10,000 the amount of money increases $2500. We can use that relationship in a proportion, which is a method used to solve problems involving directly proportional numbers.

If we arrange our information such that the dollars earned are on the top of the fraction and the number of songs that need to be downloaded to earn that amount of money is on the bottom of the fraction, here is what we have:

[tex]\frac{2500}{10,000}[/tex]. This means that the artist receives $2500 for every 10,000 downloads. Keeping in that pattern, we can find out how much money he will earn when 500,000 downloads are completed, assuming that the amount he earns per 10,000 songs doesn't change.

[tex]\frac{2500}{10000}=\frac{x}{500000}[/tex] and cross multiply to get

10,000x = 1250000000 and divide to get

x = 125,000

That is the amount that he will earn from 500,000 downloads.

[tex]\frac{$}{#}[/tex]

Answer:

t_n =a +(n-1)d

t_100 = 2+ (100-1)6

= 2+99× 6

= 2 +594

= 596

Answer:

b: 100

c:yes

d: younger, more, small/younger

Step-by-step explanation:

Answer:

Answer attached

Step-by-step explanation:

Midpoint of AB = (1,0)

Let's check

midpoint of AB

Answer:

6957  inches squared

Step-by-step explanation:

surface area of a cone  = πr × (r + √[h² + r²])

h = height

r = radius = 4/2 = 2 inches

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(3.14 x 2) x (2 + √5² + 2²) = 6.28  x 7.39 = 46.38 inches squared

the amount of coated paper needed for 1 cup is 46.38 inches squared

Amount needed for 150 cups = 46.38 x 150 = 6957

x 150

Answer:

30+ X = 52

Step-by-step explanation:

Answer:

x+30=52

or 52-30

Step-by-step explanation:

I know 2nd grade math.

Subtract 30 from 52.

Answer:

Equilateral

Step-by-step explanation:

All angles are the same, so the sides are the same as well

Classifications:

Scalene = no sides and angles are the same to others

Equilateral = All sides and angles are congruent

Isosceles = 2 sides and 2 angles are congruent.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: equilateral

Step-by-step explanation:

An equilateral triangle is a triangle where all the sides are the same length.

Answer:

219.347

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To find out if 2 is a solution, replace all the x's with 2.

4(2 - 1) - 3(2 - 2) =8

4(1) - 3(0) = 8

4 - 0 = 8

4 = 8

Nope!  False!  2 is not a solution.

Answer:

Step-by-step explanation:

im not sure but i think its 5

Answer:

Complementary, x=10

Step-by-step explanation:

Complementary angles mean they add up to 90 degrees.

So 29+(6x+1)=90.

30+6x=90

6x=60

x=10

Answer:

Complementary-------- x= 10

Step-by-step explanation:

only 90 degrees

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

3. 6x = 60

=======================

x= 10

Answer:

x = 4

( if you need a better explanation ask me and i'll give you a different one) :)

Step-by-step explanation:

15 x b = 60

15 x b divided by 15 = 60 divided by 15 to get the 15 from one side to the other

x=4

Answer:

[tex]Nevaeh \ will \ have \ 1224.33 \ and \ Paisley \ will \ have \ 1275.[/tex]

Answer:

complementary angle

Step-by-step explanation:

hope this helps u

Answer:

[tex]a'=4.5[/tex]

[tex]b'=7.5[/tex]

[tex]c'=9[/tex]

[tex]d'=12[/tex]

[tex]e'=15[/tex]

Step-by-step explanation:

From the question we are told that:

Sides of Polygon 1

 a=3

 b=5

 c=6

 d=8

 e=10

Perimeter of polygon 2 P_2=48

Generally the equation for Polygon 1 is mathematically given by

 P_1=a+b+c+d+e

 P_1=3+5+6+8+10

 P_1=32

Generally the sides of similar polygon with Perimeter P_2=48 is mathematically given by

Side\ of\ polygon\ 2 =\frac{side\ of\ polygon\ 1}{perimeter\ of\ polygon\ 1}*perimeter\ of\ polygon\ 2

Therefore

[tex]a'=\frac{a}{P_1}*P_2\\a'=\frac{3}{32}*48[/tex]

[tex]a'=4.5[/tex]

[tex]b'=\frac{b}{P_1}*P_2\\b'=\frac{5}{32}*48[/tex]

[tex]b'=7.5[/tex]

[tex]c'=\frac{c}{P_1}*P_2\\c'=\frac{6}{32}*48[/tex]

[tex]c'=9[/tex]

[tex]d'=\frac{d}{P_1}*P_2\\d'=\frac{8}{32}*48[/tex]

[tex]d'=12[/tex]

[tex]e'=\frac{e}{P_1}*P_2\\e'=\frac{10}{32}*48[/tex]

[tex]e'=15[/tex]

Answer:

15 = 2 + 0.5g

Total number of ticket purchase by Janine = 26

Step-by-step explanation:

Given:

Cost of water bottle = $2

Cost of each ticket = $0.50

Total amount spend by Janine = $15

Find:

Equation

Computation:

Assume;

Total number of ticket purchase by Janine = g

Total amount spend by Janine = Cost of water bottle + (Cost of each ticket)(Total number of ticket purchase by Janine)

15 = 2 + (0.5)(g)

15 = 2 + 0.5g

0.5g = 13

g = 13 / 0.5

Total number of ticket purchase by Janine = 26

Answer:

4

Step-by-step explanation:

4^4 or 4 * 4 * 4 * 4 is 256.

Answer:

[tex] \sqrt[4]{256} [/tex]

[tex] \sqrt[4]{ {4}^{4} } [/tex]

=±4 is a required answer

Answer:

Any number greater than 12 but not including 12

Step-by-step explanation:

hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Answer:

this is a very easy question all you have to know is your times table.

the working is shown below:

12

×4

--------

48

---------

OR

------

12×4= 48

Answer:

Choice A, 20(3n-m)

Step-by-step explanation:

First, lets combine like terms for the question 54n - 20m + 6n,

60n - 20m.

Next, lets rule out the choices that are visibly wrong. This includes Choice B, because it wouldn't equal what is above and Choice C, as it ignores unlike terms.

Now, it is down to Choices A and D. Let's use the distributive property to simplify these options.

Choice A:

20(3n-m)

60n-20m

Choice D:

20(m-3n)

20m-60m

With this, it can be concluded that the correct answer is Choice A since it equals 60n-20m, which is equal to the original question when like terms are combined.

Answer:

Which inequality has the solution set shown on the graph?

-54n < 1080

-54n > 1080

594 > -11n <<<<<This one

594 < -11n

Step-by-step explanation: I couldnt find my question so here is the answer if you have this on edg :))))

Answer:

diameter: 2.4 mi

circumference = 38.96 mi

Step-by-step explanation:

d=2r=2·6.2=12.4

C=2πr=2·π·6.2≈38.95575

Answer:

36in for the 1st one

Step-by-step explanation:

Answer:

36 in- mild

Hope this helps!!

Answer:

x+51+80+60=180

x+191. =180

x=180-191

x=-11