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3 years ago

((Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Mathematics

1 answer:

gulaghasi [49]3 years ago

3 0

Answer:

Step-by-step explanation:

A series is said to be convergent if |r| < 1. Where r is the common ratio of the series.

If |r| ≥ 1 then the geometric series diverges.

-5 + 25 - 125 + ..

r = -5/25 = -1/5

r = 25/-125 = -1/5

|r| = 1/5

In the series is |r| less than 1. So the series is convergent.

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Find the equation of the line passing

Ostrovityanka [42]

Answer:

y = 4x -14

Step-by-step explanation:

The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.

The slope equation is ...

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

m = (10 -2)/(6 -4) = 8/2 = 4

The y-intercept equation is ...

b = y - mx

b = 2 -4(4) = -14

The equation of the line is y = 4x -14.

7 0

2 years ago

What is the area of the regular polygon?

BartSMP [9]

Answer:

You could use the polygon area formula OR here's an easier solution

We draw the lines DC and DE

Angle ADC = 120°

Triangle ADC is a 30 60 90 triangle

In such a triangle Line AE = hypotenuse * sq root (3) /2

Line AE = 3 * 0.8660254038 = 2.5980762114

Line DE = 1.5

Area of Triangle ADE = .5 * 1.5 * 2.5980762114 =

1.9485571586 square meters and entire area of Triangle

ABC = 6 * 1.9485571586

which equals 11.6913429513 square meters

Step-by-step explanation:

6 0

2 years ago

What is the difference between x and dx?

N76 [4]

This response is based upon your having had some background in calculus. "dx" is not introduced before that.

Take a look at the sample function y = f(x) = x^2 + 9. Here x is the independent variable; the dependent variable y changes with x.

Now, for a big jump: we consider finding the area under a curve (graph) between x = a and x = b. We subdivide that interval [a,b] into n vertical slices of area. Each of those slices has its own area: f(x)*dx, where dx represents the width of such subarea. f(x)*dx is the actual subarea. To find the total area under the curve f(x) between x= a and x = b, we add up all of these individual subareas between x = a and x = b. Note that the subinterval width is

b-a

dx = ---------- , and that dx becomes smaller and smaller as the number of

n subintervals increases.

Once again, this all makes sense only if you've begun calculus (particularly integral calculus). Do not try to relate it to earlier math courses.

8 0

3 years ago

X² + 5x - 24, factor

kobusy [5.1K]

Answer:

${x}^{2} - 8x + 3x - 24 \\ - x(x - 8)3(x - 8) \\ (3 - x)(x - 8)$

6 0

3 years ago

The table gives the average age of airplanes per airline at Camila’s local airport. By what percent is the number of airlines wi

VladimirAG [237]

The percentage that the number of airlines with an average airplane age of 14 is less than the number of airlines with an average airplane age of 11 is:

B. 20%.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

The percentage of airlines with an average age of 14 years is:

$P = \frac{2}{15} \times 100\% = 13.33\%$

The percentage of airlines with an average age of 11 years is:

$P = \frac{5}{15} \times 100\% = 33.33\%$

The difference is:

33.33% - 13.33% = 20%.

Hence option B is correct.

More can be learned about percentages at brainly.com/question/10491646

#SPJ1

6 0

2 years ago