Finite geometric series:

Hi, I want to ask a question, is about... for example, take the sequence 1,2,4,8,... Notice that each number is twice the value of the previous number. So, a number in the sequence can be represented by the function f(n) = 2^n-1. One way to write the sum of the sequence through the 5th number in the sequence is E^5 n-1^2n-1. This equation can also be written as S5 = 2^0 + 2^1+2^2+2^3+2^4. If we multiply this equation by 2, the equation becomes 2(S5) = 2^1+2^2+2^3+2^4+2^5.

What happens if I subtract the two equations and solve for S5? Can I use this information to come up with a way to find any geometric series Sn in the form E^a n-1^bn-1?

The given information on the diagram of the projector and the image can

be used to prove the congruency of the triangles.

∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and

segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem

Reasons:

The figure of the projector that casts an image on the screen is attached.

The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]

From the drawing, we have;

∠ABD ≅ ∠CBD by equal number arc mark.

The two column proof is therefore, presented as follows;

Statement [tex]{}[/tex]                                            Reason

[tex]\overline {BD}[/tex] is perpendicular bisector of   [tex]{}[/tex][tex]\overline {AC}[/tex]   Given

[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex]   [tex]{}[/tex]                                             Definition of bisected line [tex]\overline {AC}[/tex]  

∠BDC = 90°       [tex]{}[/tex]                                      [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠BDA = 90°                         [tex]{}[/tex]                    [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠ABD ≅ ∠CBD [tex]{}[/tex]                                       Given on the diagram

ΔABD ≅ ΔCBD  [tex]{}[/tex]                          by Angle-Angle-Side AAS Congruency rule

The Angle-Angle-Side, AAS, Congruency postulate states that two

triangles are congruent where two adjacent angles and a non included side

on one triangle are congruent to the corresponding two adjacent angles

and a non included side on the other triangle.

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Answer:

364

Step-by-step explanation:

13÷4732= 364

I hope it help^^

Answer:

I'd say the answer is cube of a binomial, because when something is specifically raised to the 3rd power, that number is being cubed. (When you square a number it has an exponent of 2, whereas when you cube a number it has an exponent of 3.)

Step-by-step explanation:

Hope this helps :)

Answer:

Area of the garden is 20 sq. yards

Step-by-step explanation:

A = LW

(The whole figure  which is a 6 by 6) - (area of the pool) = The area of garden

                     (6 × 6) - (4 × 4)

                      36 - 16 = 20

Answer:

[tex]x=-5.85[/tex]

Step-by-step explanation:

[tex]-2/9x+2.7=4[/tex]

Subtract 2.7 on both sides

[tex]-2/9x=1.3[/tex]

Multiply by 9

[tex]-2x=11.7[/tex]

divide by -2

[tex]x=-5.85[/tex]

Answer:

y=-3x-10

Step-by-step explanation:

The y-intercept is -10 and the line is going in a negative direction. Meaning the slope will be negative.

Looking at the options, you can tell that the answer will in fact, be y=-3x-10

Or to solve, -2,-4 and -5,5

5--4 to get 9

-5--2 to get -3

9/-3 gets you -3. The slope of the line is -3. And you can notice that the intercept is -10.

This gets you y=-3x-10

Answer: They know approximately how many hours they will need to seed and harvest and can plan

Step-by-step explanation:

Answer:

25x - 4

Step-by-step explanation:

10x + 2 + 8x + 7x - 6

= 25x - 4

Answer:

8/h

Step-by-step explanation:

Quotient means division, so basically you are dividing 8 by h.

Answer:

8/H

Step-by-step explanation:

8/H - Just divide 8 by H

Answer:

6 and 28

Step-by-step explanation:

Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.

Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.

Answer:

y=-2x+15

Step-by-step explanation:

Hi there!

We are given that m=-2, b=15, and we want to write the equation of the line, given these values

We can write the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, since we are given the values of both m and b.

Since we know the values of m and b (-2 and 15 respectively), we can substitute those numbers in as the variables they equal to.

Substitute -2 as m:

y=-2x+b

Substitute 15 as b:

y=-2x+15

Hope this helps!

Answer:

I don't know the answer sorry

Answer:

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion

Step-by-step explanation:

Convert 23/4 into a mixed fraction

Answer:-5

Step-by-step explanation:

Answer:

X=108

Step-by-step explanation:

Step-by-step explanation:

I have solved the answer in the attached image please ask if you have any query

Answer:

58

Step-by-step explanation:

You would have to turn 7 1/4 into a whole fraction.

Do,

7 * 4 = 28

28 + 1 = 29

Your new fraction would be,

29/4

Now you have to make them equal denominators as 1/8.

Lets see,

Now multiply 4 * 2 is 8.

So multiply 29 times 2.

Which is 58.

Your new fraction is,

58/8

So therefore you would have 58 pieces.

Answer:

So the answer is the type of graph this is it is a tsunami graph telling about

Step-by-step explanation:

the percentage of it

Answer:

1 1/2

Step-by-step explanation:

it takes 15 min to leak 1/8 just multiple the min to 3 hours which then you'll get 1 1/2 gallons that will leak at 3 hours

Answer:

12 cans were damaged

EXPLANATION:

Cause When You Divide 4 To Divide 40, It Gives You 100% Calculation, And Subtract 30% from 100% it gives you 70%, which is 28 cans of food

Answer:

4.79 or 4.789

Step-by-step explanation:

the first answer is if you need to round to the nearest hundredth, the second if you need to round to the nearest thousandth. you didn't tell us which was correct so I put both

Answer:

Step-by-step explanation:

In exponents multiplication, if bases are same, add the powers

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\(-5)^{5}*(-5)^{-6}=9-5)^{(-5) + (-6)} = (-5)^{-11}[/tex]

Answer:

Your answer would be:
-1/5 or -0.2

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

P = 34 1/8 inches

Step-by-step explanation:

P = 2l + 2w

P = 2(10 3/16) + 2(6 7/8)

convert 10 3/16 to an improper fraction:  163/16

convert 6 7/8 to an improper fraction:  55/8, which equals 110/16

P = 2(163/16) · 2(110/16)

P = 326/16 + 220/16

P = 546/16

P = 34 1/8 inches

the answer to your question is slope is 6

Answer:

50 N

Step-by-step explanation:

Given :-

Mass = 10 kg

Acceleration = 5 m/s²

To find

Force applied

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 10 × 5

We have the final answer as

50 N

(Hope this helps can I pls have brainlist (crown)☺️)

[tex]\purple{\longrightarrow \sf Force = Mass \times Acceleration}[/tex]

[tex]\longrightarrow \sf Force = 10 \; kg \times 5 \; m/s^2[/tex]

[tex]\longrightarrow \sf Force = 50 \; kgm/s^2[/tex]

[tex]\longrightarrow {\pink{\underline{\underline{\sf{ Force_{(Applied )} = 50 N }}}}}[/tex]

Henceforth :

The force applied on the computer is 50 N.

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The portion of a population is simply a fraction of the population.

The required parameters are missing.

So, I will solve this question using the following parameters

So, the portion of the population that are eligible voters over the age of 24 is calculated by dividing the number of eligible voters over the age of 24 by the overall population.

So, we have:

[tex]\mathbf{Portion= \frac{400}{600}}[/tex]

Simplify the fraction

[tex]\mathbf{Portion= \frac{2}{3}}[/tex]

2/3 means two-third

Hence, the portion of the population that are eligible voters over the age of 24 is two-thirds

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Answer: Option D, “two-thirds”

Step-by-step explanation:

edge 2022

Answer:

Negative controls are particular samples included in the experiment that are treated the same as all the other samples but are not expected to change due to any variable in the experiment.

Step-by-step explanation:

Answer:

Central Angle - an angle formed in the center of a circle by the meeting of two radii. Chord - a straight line connecting two points on an arc or circle.

8 pages

Step-by-step explanation:

In the diagram, m∠RQY = m∠WQT = 50° and Q is the center of the circle. Name two triangles that are congruent. answer choices. ∆RQY ≅ ∆YQW.

In the diagram, AB passes through the center C of the circle and DC⊥AB. Name two ... If two triangles are congruent, then their perimeters are the same.

The image point is (-6, 3).

According to tradition, the "image" of point P is the reflection of point P across the line, which is designated by the term P' (pronounced "P prime").

The reflection of point (a,b) with respect to line y=k is point (a, 2k -b)

To find the image of the point (-6 ,1);

The formula:

(a, b) → (a, 2k-b)

Here a=-6, b = 1, k = 2

therefore (-6, 1) → (-6, 2×2 (-1))

= (-6, 3)

Hence, the answer is (-6, 3).

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