All categories

3 years ago

Which series is convergent? Check all that apply.

Mathematics

2 answers:

wariber [46]3 years ago

5 0

Answer:

C, D

Step-by-step explanation:

xxTIMURxx [149]3 years ago

3 0

Answer: C, D

Step-by-step explanation:

edge2021

You might be interested in

two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goe

sveta [45]

Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.

Thus,

a. To determine the distance of the first biker from the parking lot.

Let the required distance be represented by x. Applying the Pythagoras theorem, we have:

$hyp^{2}$ = $adj 1^{2}$ + $adj 2^{2}$

$x^{2}$ = $8^{2}$ + $15^{2}$

= 64 + 225

= 289

x = $\sqrt{289}$

= 17

x = 17 km

Thus, the first biker is 17.0 km from the starting point.

b. To determine the distance of the second biker from the parking lot.

Let the required distance be represented by x. So that applying the cosine rule, we have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos θ

$x^{2}$ = $8^{2}$ + $15^{2}$ - 2(15*8) Cos (180 - 20)

= 64 + 225 - 240 Cos 160

= 289 - 240 * -0.5

$x^{2}$ = 289 + 120

= 409

x = $\sqrt{409}$

= 20.2237

x = 20.22 km

Thus, the second biker is 20.22 km from the starting point.

Therefore, the second biker is farther from the parking lot.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: brainly.com/question/22699651

7 0

2 years ago

If the length of side a is 12 centimeters, measure of angle B = 36 degrees and measure of angle C = 75 degrees , what is the len

Fofino [41]

The length of side b is 7.61 m.

Here's how the length was calculated:

Let:

length of side a = 12 centimeters
B = 36 degrees
C = 75 degrees

In order to solve an AAS triangle, use the three angles, add to 180 degrees to find the other angle, then, use The Law of Sines to find each of the other two sides.

A = 180 - (36 + 75) = 69 degrees

by using the law of sines:

a / sin A = b / sin B = c/ sin C

we will substitute the given values:

12 / sin (69) = b / sin (36)

b = unknown

12 / 0.93 = b / 0.59

12.9 = b / 0.59

b = 12.9 * 0.59

b =7.61 cm (length of side b)

6 0

3 years ago

In the figure alongside, show that ZX + Zz = 180°, without the actual measurement,

valkas [14]

Answer:

1. {xx < 13} 3. {yy < 5} 5. {tt > -42} 7. {dd ≤ 4}

9. {kk ≥ -3} 11. {zz < -2} 13. {mm < 29}

15. {bb ≥ -16} 17. {zz > -2} 19. {bb ≤ 10}

21. {qq ≥ 2} 23. ⎧

⎨

⎩

ww ≥ - _7

⎫

⎬

⎭

Lesson 0-7

1. {(−15, 4), (−18, −8), (−16.5, −2),

Step-by-step explanation:

ZX + Zz = 180°, without the actual

measu

5 0

2 years ago

How do I find out if a function is in standard form

anzhelika [568]

Hey!

A function in slope-intercept form would look like y=mx+b; with the x and y values on the opposites of the equation.

A function in standard form would look like ax+by=c; with the x and y values on the same side of the equation.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Find the simple interest earned to the nearest cent for each principal, interest rate, and time.

Y_Kistochka [10]

Answer:

Interest earned at 3.9 percent rate is $31.2

Interest earned at 2 percent rate is $5.8

Step-by-step explanation:

A = P(1 + rt)

Where 'A' is the amount, 'r' is the rate and 't' is the time in years

When;

P = $1200

r = 3.9%

t = $\frac{8}{12}$ years

Then,

A = $1200(1 + 0.039( $\frac{8}{12}$ ))

A = $1200 + $31.2 = $1231.2

Interest = Amount - Principal

Interest earned at 3.9 percent rate is $1231.2 - $1200 = $31.2

When;

P = $580

r = 2%

t = $\frac{6}{12}$ years

Then,

A = $580(1 + 0.02( $\frac{6}{12}$ ))

A = $580 + $5.8 = $585.8

Interest earned = Amount - Principal

Interest earned at 2 percent rate = $585.8 - $580 = $5.8

4 0

3 years ago