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3 years ago

7

Which of the following statements is true?

1 answer:

likoan [24]3 years ago

3 0

Answer: The correct option is C .The Ratio Test says that the series converges conditionally.

Step-by-step explanation:

Ratio test is used for testing convergence or divergence in series.

Iet consider a positive series

Summation a subscript n. £an

Let £an > 0.

Consider

Lim as n tends to infinity, 'a' subscript n+1 divided by 'a' subscript n = L

If L < 1 the series converges

If L >1 the series diverges

If L= 1 No conclusion.

The correct option is C because the series converges conditionally if L <1

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This graph shows the solution to which inequality?

Verizon [17]

Answer:

Correct option is C)

given, y≥2x+1 and

y>

2

1

x−1

5 0

2 years ago

Read 2 more answers

Question 10 of 21

PSYCHO15rus [73]

<u>ANSWER</u>

A. (4,12)

<u>EXPLANATION</u>

The equations are:

$10x +2y = 64...(1)$

and

$3x - 4y = -36...(2)$

To eliminate a variable we make the coefficients of that variable the same in both equations.

It is easier to eliminate x.

We multiply the first equation by 2 to get:

$20x + 4y = 128...(3)$

We add equations (2) and (3).

$3x + 20x + 4y - 4y = - 36 + 128$

$23x = 92$

Divide both sides by 23

$\frac{23x}{23} = \frac{92}{23}$

$x = 4$

Put x=4 into equation (1).

$10(4)+2y = 64$

$40+2y = 64$

$2y = 64 - 40$

$2y = 24$

$\frac{2y}{2} = \frac{24}{2}$

$y = 12$

The solution is (4,12)

6 0

3 years ago

The area of the triangle is 28.7 square centimeters. What is the base length of the triangle in centimeters?

Montano1993 [528]

In order to derive the base of a triangle from its area, you need its height as well.

In fact, if we solve the area formula for the base, we have

$A=\dfrac{bh}{2} \iff 2A = bh \iff b=\dfrac{2a}{h}$

So, the base length would be

$b=\dfrac{2\cdot 28.7}{h} = \dfrac{57.4}{h}$

where h is the height relative to the base you're interested in.

3 0

2 years ago

Bill is bisecting an angle with technology Which of the following describes his next step?

maw [93]

Answer:

Mark point E where the circle intersects segment BC

Step-by-step explanation:

Apparently, Bill is using "technology" to perform the same steps that he would use with compass and straightedge. Those steps involve finding a point equidistant from the rays BD and BC. That is generally done by finding the intersection point(s) of circles centered at D and "E", where "E" is the intersection point of the circle B with segment BC.

Bill's next step is to mark point E, so he can use it as the center of one of the circles just described.

___

<em>Comment on Bill's "technology"</em>

In the technology I would use for this purpose, the next step would be "select the angle bisector tool."

6 0

3 years ago

Read 2 more answers

Plz help me with this math and also explain

jasenka [17]

Step-by-step explanation:

<h2>[1]</h2>

SI = $250
Rate (R) = 12 $\sf \dfrac{1}{2}$ %
Time (t) = 4 years

$\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\$

$\longrightarrow \tt { 250 \times 100 = P \times 50} \\$

$\longrightarrow \tt { 25000 = P \times 50} \\$

$\longrightarrow \tt { \dfrac{25000}{50} = P } \\$

$\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\$

Therefore principal is $500.

<h2>__________________</h2>

<h2>[2]</h2>

2/7 of the balls are red.
3/5 of the balls are blue.
Rest are yellow.
Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

$\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\$

$\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\$

$\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\$

$\longrightarrow \tt{ 31x + 1260= 35x} \\$

$\longrightarrow \tt{ 1260= 35x-31x} \\$

$\longrightarrow \tt{ 1260= 4x} \\$

$\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\$

$\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\$

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\$

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\$

$\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\$

$\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\$

8 0

3 years ago