Help!!! Geometric series.

Answers

Answer 1

Answer:

Not just any geometric series, but an infinite one. The rare taming of infinity.

Since the ratio r=2/5 is strictly between -1 and 1 the infinite geometric series converges. The first term is also a=2/5 so the sum is

$S = (a)/(1-r) = (2/5)/(1 - 2/5) = \frac 2 3$

Answer: 2/3

That formula isn't too hard to derive. We have

$S = a + ar + ar^2 + ar^3 + ...$

$rS = ar + ar^2 + ar^3 + ...$

$S-rS = a$

$S = (a)/(1-r)$

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Ed is doing a survey of popular colors for cars for a school report. He decides to take a sample by sitting near a busy intersection and noting the colors of the cars as they go by him. Ed counts 23 black cars, 9 red cars, 17 blue cars, 25 white cars, and 21 silver cars during 20 minutes of watching. How many more white and blue cars are there than silver and red cars?

What is the solution of this system of linear equations?A. (1, 0)
B. (0,0)
C. (0, 1)
D. X=0
Graph is attached , help quick please

Answers

Answer:

The answer is C.

Step-by-step explanation:

Inordertofindthesolutionofthelinearequation,youhavetofindthecoordinateswheretheyintersect.

So according to the graph, both lines intersect at the coordinates of ( 0 , 1 ).

(Correct me if I amwrong)

Kendall is designing a backyard garden. She makes a scale drawing of the garden where 3 inches is equivalent to 2 feet in the garden. The fence is rectangular in shape and is 21 inches long by 9 inches wide in the scale drawing. Use this information to determine the actual length and width of the fence in Kendall’s garden.

Answers

answer windex heres the step by step explanation everything =windex Step-by-step explanation:

A circular fountain has a radius of 9.4 feet find its diameter and circumference to the nearest tenth

Answers

Answer:

18.8 feet, 59.1 feet to the nearest tenth

Step-by-step explanation:

The diameter is the line drawn that divides the circle into two while the circumference is the perimeter of the circle. Both are a measure of the radius of the circle.

The diameter D = 2r where r is the radius of the circle

The circumference = 2Πr = ΠD where Π = 22/7

Given that the circular fountain has a radius of 9.4 feet

Its diameter = 2 × 9.4 feet = 18.8 feet

The circumference = 22/7 × 18.8 feet

=59.09 feet

≈ 59.1 feet to the nearest tenth

diameter = radius * 2
9.4 * 2 = 18.8
diameter is 18.8 feet
circumference = $\pi$ * diameter
c = 3.14 * 18.8
c = 59.032
circumference is 59 feet.

In triangle ABC, c = 8, b = 6, and ∠C = 60°. sin∠B = _____

Answers

Answer:

sin∠B=0.649°

Step-by-step explanation:

Given: In triangle ABC, c = 8, b = 6, and ∠C = 60°.

To find: sin∠B

Solution: using the sine formula that is $(SinA)/(a)=(SinB)/(b)=(SinC)/(c)$ , we get

$(SinA)/(a)=(SinB)/(6)=(Sin60^(\circ))/(8)$

Taking the second and third equality, we get

$(SinB)/(6)=(Sin60^(\circ))/(8)$

⇒ $(SinB)/(6)=((√(3))/(2))/(8)$

⇒ $(SinB)/(6)=(√(3))/(16)$

⇒ $SinB=\frac{√(3){*}6}{16}$

⇒ $SinB=(3√(3))/(8)$

⇒ $SinB=0.649^(\circ)$

Thus, $SinB=0.649^(\circ)$ .

Hello,

sin B/b=sin C/c
==>sin B=√3 / 2 * 6/8=3√3 /8

To increase an amount by 3% what single multiplier would you use?

Answers

3% is the decimal 0.03 .

To make a number 3% bigger, multiply it by 1.03 .

The ' 1 ' part is the amount that's already there, and
the ' .03 ' part is the amount to be added onto it.

Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a?

Answers

If a is how much money she donated each month a should be 25 because 25 dollars multiplied by 12 months is 300 dollars

Answer:

ax12=300

Step-by-step explanation:

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At 3:00 PM a man 143 cm tall casts a shadow 150 cm long. At the same time, a tall building nearby casts a shadow 180 m long. How tall is the building?