Which geometric series converges? StartFraction 1 Over 81 EndFraction StartFraction 1 Over 27 EndFraction one-ninth one-third ellipsis 1 one-half one-fourth one-eighth ellipsis Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 7 (negative 4) Superscript n minus 1 Sigma-Summation Underscript n = 1 Overscript infinity EndScripts one-fifth (2) Superscript n minus 1.

Answer:

The equation is 2/25(x + 2)^2 + 5.

Step-by-step explanation:

WE can write the vertex form as

y = a(x - b)^2 + c     where a is some constant and (b, c) are the coordinates of the vertex.

So here we have:

y = a(x + 2)^2 + 5

As (3, 7) is a point oin the curve:

7 = a(3 + 2)^2 + 5

7 = 25a + 5

a = 2/25.

Answer:

I think Mikhail's age is 5

The question say Gabrielle's age is 3 times his

so 5 × 3 = 15

15 + 5 = 20

Answer:

-1/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-0)/(5-0)

m=-1/5

Answer:

12.3

Step-by-step explanation:

subtract(its me again)

Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52

The equation that represents the partial sum of the geometric series is 125, 25, 5, 1

Given the partial sum of a geometric sequence expressed as:

[tex]\sum\left { n=4 \atop {n=1}} \right. 125(\frac{1}{5} )^{n-1}[/tex]

If n = 1, the

a(1) = [tex]125(\frac{1}{5} )^{1-1}\\[/tex]

a(1) = [tex]125(\frac{1}{5} )^{0}\\[/tex]

a(1) = 125

If n = 2

a(2) = [tex]125(\frac{1}{5} )^{2-1}\\[/tex]

a(2) = [tex]125(\frac{1}{5} )^{1}\\[/tex]

a(2) = 25

If n = 3

a(3)= [tex]125(\frac{1}{5} )^{3-1}\\[/tex]

a(3) = [tex]125(\frac{1}{5} )^{2}\\[/tex]

a(3) = 5

If n = 4

a(4)= [tex]125(\frac{1}{5} )^{4-1}\\[/tex]

a(4) = [tex]125(\frac{1}{5} )^{3}\\[/tex]

a(4) = 1

Hence the equation that represents the partial sum of the geometric series is 125, 25, 5, 1

Learn more on geometric sequence here: https://brainly.com/question/24643676

Answer:

a

Step-by-step explanation:

Answer:

C, both plans will work for achieving the goal.

Step-by-step explanation:

For plan A, you must multiply 7.20 by 9, then multiply the product by 8. The answer is 526.4 This means that plan A will work, and more than the original goal will be saved up.

For plan B, you must multiply 6.50 by 15, then multiply the product by 6. The answer is 585. This is more than the original goal, so plan B would work as well.

This means that C is correct, because both plans will work for achieving the goal.

Answer:

C

Step-by-step explanation:

Edged 2022

Answer:

y=x + 6

Step-by-step explanation:

G1=G2

so G2 =1

y-3 /x+3 =1/1

y-3 = x +3

y=x + 6

Answer:

What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11) 1060 by cata

Answer:

40

Step-by-step explanation:

so it is 3X3 +13 =40

Answer:

  Practice -- lots of it

Step-by-step explanation:

I usually choose a solution method that I believe will find the desired answer for me in the least number of simple steps. What constitutes a "simple" step depends on a number of things:

__

I often choose a graphing calculator as my first approach to solving a quadratic. It easily shows the roots, and can show the vertex. (Sometimes, scaling the graph is required, so I actually prefer to use a touch-screen for the purpose. It is easier to "pinch" than to type in possible graph limits by trial and error.) The answer is generally provided to 3 or 4 significant figures, which is usually enough to tell if the solution is rational or irrational.

The easiest way to describe an integer (or rational) solution to someone else (on Brainly, for example) is usually to show the factoring of the quadratic. Finding the roots with a graphing calculator significantly aids the factoring process. (It is much easier to "find" the solution if you know the solution before you start looking.)

__

As we said at the beginning, the answer to your question is "practice." Many curricula try to offer opportunities to practice. I find most of these pretty annoying. What I suggest is that you find your own internal motivation to practice solving different kinds of quadratics in several different ways. That is, solve the same quadratic by ...

It might take you a couple of hours of work to learn the best way to solve an equation in under 5 minutes.

In this process, you will discover what you need to know to choose a method that works nicely for you. I believe you will find that total familiarity with arithmetic facts (sums, products, squares) and operations on all the different ways to represent numbers (integer, decimal, fraction, percent, scientific notation) will help you significantly.

_____

* Additional comment

Some "area" problems give you the difference of dimensions (length and width), and ask you to find the dimensions that give a specific area. This can be solved by (x)(x -d) = A. If you don't immediately recognize factors of A that differ by d, then you might have to resort to the quadratic formula to solve this.

Another approach is to let the variable represent the average dimension. Then the equation becomes (x -d/2)(x +d/2) = A, which is a "difference of squares" form that is much more easily solved. The solution for x is √(A +(d/2)²), and all you have to do is add and subtract d/2 from that solution to find the dimensions. This is an example of what I mean by transforming the problem.

Answer:

238882 -> 238881

Step-by-step explanation:

To make it not divisable by 2, you have to change the rightmost digit.

Simply divide the number by 3, round it, then multiply it by 3 again.

Answer:

x = 5/3 or 1.67 and y= 2.5 or 5/2

Step-by-step explanation:

Firstly to find the x intercept make y= 0 meaning put zero at where ever you find y to help eliminate the y

so

3x + 2y =5

3× + 2 (0)=5

3×=5

×=5/3 or 1.67

Secondly for the y intercept make x = 0 meaning put zero at where ever you find x to help eliminate the x leaving you with y

3x + 2y =5

3 (0) + 2y = 5

2y=5

y= 5/2 or 2.5

Answer:

yes

Step-by-step explanation:

because df is -2/3 and ac is -6/9 which is the same as -2/3

Answer:

95

Step-by-step explanation:

Hope this helps :)

Merry Christmas. Have fun.

The size of ∠CDE labelled d° = 95° Given,

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Given,

In triangle DAF

∠DAF = 25°

∠DFA = 40°

Sum of all interior angles is 180°

∠DAF + ∠DFA + ∠ADF = 180°

25° + 40° + ∠ADF = 180°

65° + ∠ADF = 180°

∠ADF = 180° - 65°

∠ADF = 115°

Triangle DFE is equilateral

∠FDE = 60°

ABCD is an square

∠CDA = 90°

Now,

∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°

90° + 115° + 60° + d° = 360°

d° = 360° - 265°

d° = 95°

Hence, 95° is the size of ∠CDE labelled d°.

Learn more about angle here:

https://brainly.com/question/28451077

#SPJ2

Answer:

3:2

Step-by-step explanation:

Hope this helps and that you have a good day!

Answer:

30 hours 48 minutes

Step-by-step explanation:

Using the relationship

average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{375}{15}[/tex] = 25 Km / hour

Then

time = [tex]\frac{distance}{speed}[/tex] = [tex]\frac{770}{25}[/tex] = 30.8 hours = 30 hours 48 minutes

Answer:

30.8 or 30 hours and 48 mins

Step-by-step explanation:

375 km > 15 Hours

Divide 375 and 15, equals to 25.

So, to proof that 375 is equals to 15 hours, divide 375 and 25 then you will get the answer 15. :)

Now, divide 770 and 25 to get the time taken to travel 770km.

And the answer is 30.8 hrs or... 30hrs and 48mins

Welcome ;)

Answer:

mean=57

range=19

Step-by-step explanation: there you go

sec(θ) = 2

By definition of secant,

cos(θ) = 1/2

Solve for θ :

θ = arccos(1/2) + 2nπ   or   θ = -arccos(1/2) + 2nπ

(where n is any integer)

θ = π/3 + 2nπ   or   θ = -π/3 + 2nπ

We get two solutions in the interval 0 ≤ θ < 2π :

θ = π/3   or   θ = 5π/3

Answer: Check explanation.

Step-by-step explanation: I think its 0. Not sure. Hope this helped!

Answer:A standard form is a form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules. Representing very large or very small numbers concisely, the standard form is used. For example, 4.5 billion years is written as 4,500,000,000 years.

Step-by-step explanation:

Answer:

y=5/3x+b

Step-by-step explanation:

Supposing CD uses the equation y=mb (meaning CD passes through the origin) and passes through (3,5), we then know the slope if 5/3 and the y intercept is 0. We can then write CD's equation as y=5/3x+0, or just y=5/3x.

So if AB is parallel to CB, then their equation is y=5/3x+b, as we don't the y-intercept yet.

Thank you!

Answer:

it's the point T.

Hope it helps

Answer: 200 Students

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

66 + 72 + 87 = 225

225 / 3 = 75

Answer:

8 sides.

Step-by-step explanation:

The sum of each of the interior and exterior angles = 180 degrees.

Therefore as the ratio is 1:3 the exterior angles are all = 1/4 * 180

= 45 degrees.

So the number of sides = 360/45 = 8.  ( As the sum of the exterior angles in all polygons = 360 degrees).

Answer:

The 2 numbers are 14 and 17.

Step-by-step explanation:

Let the 2 numbers be x and y.

x + 11 = 2y

x - 2y = -11...............A

y +20 = 2x

2x - y = 20 ...............B

Multiply equation A by -2:

-2x + 4y = 22............C

Adding B and C :-

3y = 42

y = 14.

Substitute y = 14 in equation A:

x - 2(14) = -11

x = -11 + 28

x = 17.

Answer:

that means its 8 * 8 = 64

There are 64 ppl