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2 years ago

Use the root test to find the nature of the series : i need solutions details please

Mathematics

1 answer:

Alex787 [66]2 years ago

7 0

Answer: It converges.

Step-by-step explanation:

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Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels

GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

$\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}$

Cross multiply

$350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200$

Divide both sides by 210

$\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph$

4 0

3 years ago

A spinner has 12 equal sections:5 red 4 green and the rest are black. In 921 spins how many times can you expect to spin black?

Komok [63]

Answer:

230

Step-by-step explanation:

12 sections total

5 red, 4 green, the rest black

12-5-4 = 3 sections are black

3/12 = 1/4 of the sections are black

1/4 represents the probability of landing on black for one spin

(1/4)*921 = 230.25 which rounds to 230

We expect to land on a black section about 230 times out of 921 times total.

8 0

3 years ago

What are the slope and the y-intercept of the linear function that is represented by the equation y - 9x-27?

kakasveta [241]

Answer:

the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 27? The slope is –2, and the y-intercept is 9.

Step-by-step explanation:

hope this helps

6 0

3 years ago

What is the solution to the following system of equations?<br><br> x+y=5<br> x-y=1<br> step by step

Andreas93 [3]

x+y=5
-x -x

Equals:

y=-x+5

Now you have:

y=-x+5
x-y=1

Insert -x+5 into y

x-x+5=1

Combine like terms

2x+5=1

Subtract 5.

2x=-4

Divide 2.

Answer: x=-2

8 0

3 years ago

What is the equation of the graph below?On a coordinate plane, a curve crosses the y-axis at (0, negative 1). It has a minimum o

zzz [600]

ANSWER:

4th option: y = cosine (x + pi)

STEP-BY-STEP EXPLANATION:

For the function y = cosine (x), when x = 0, y = 1 and when x = , y = -1. The graph shows the opposite, when x = 0, y = -1 and when x = , y = 1, so we must add the same amount x = , for y to be positive 1.

So the equation of the graph would be:

$y=\cos(x+)$

The correct answer is then the 4th option y = cosine (x + pi)

3 0

11 months ago