Solve for x. Round answer to the nearest tenth.<br> 17<br> 54°<br> х

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

V125BC [204]

Answer:

The progression is Option A. convergent.

Step-by-step explanation:

The given series is( $-\frac{8}{5}+\frac{32}{25}-\frac{128}{125}+......$ )

= $(-\frac{8}{5})(1-\frac{4}{5}+(\frac{4}{5})^{2}-.....)$

Now we can write this series as $\sum_{n=0}^{n=\oe}(-\frac{8}{5})(-\frac{4}{5})^{n}$

In this expression common ration is 4/5= 0.8

As we know that in geometric progression if common factor is less than one then the progression converges.

Therefore we can say that this progression is convergent.

3 0

3 years ago

Simplify -3 p3 + 5 p + (-2 p2 ) + (-4) - 12 p + 5 - (-8 p3 ). Select the answer in descending powers of p . 1 - 7 p - 2 p2 + 5 p

monitta

Step-by-step explanation:

Let's simplify step-by-step.

−3p3+5p−2p2−4−12p+5−−8p3

=−3p3+5p+−2p2+−4+−12p+5+8p3

Combine Like Terms:

=−3p3+5p+−2p2+−4+−12p+5+8p3

=(−3p3+8p3)+(−2p2)+(5p+−12p)+(−4+5)

=5p3+−2p2+−7p+1

Answer:

=5p3−2p2−7p+1

5 0

2 years ago

Which of the following best describes the equation below?

Irina18 [472]

Answer:

A

Step-by-step explanation:

BECAUSE THERE IS ONLI ONE VARIABLE

5 0

2 years ago

Compare the dimensions of the prisims. How many time greather is the surface area of the red prism than the surface area of the

SVEN [57.7K]

Answer:

Step-by-step explanation:

To get from blue to red you need to multiply the blue dimensions by 1.5.

4*x = 6 Divide by 4

x = 6/4

x = 1.5

The surface area is a different ball game.

SA of the blue figure

Surface area of 1 side = 4 * 4 = 16

The total surface area = 16* 6 = 96

SA of the red figure

Surface area of 1 face = 6*6

Surface area of 6 faces = 6 * 36 = 216

So what's the ratio ?

Ratio = red surface area/ blue surface area

Ratio = 216 / 96 = 2.25

Notice that if you square the dimensional ratio, you get the area ratio

1.5^2 = 2.25

4 0

1 year ago

Ronald Dairo is helping the local indus-

nadya68 [22]

Answer:

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

Step-by-step explanation:

Papaya rosette pieces on first day = 5890

Papaya rosette Pieces on second day = 7020

Papaya rosette Pieces of third day = 8150

Let

$a_1 = 5890\\a_2 = 7020\\a_3 = 8150$

We can check if these numbers are part of a sequence.

In order to check, common difference will be found first.

$d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130$

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.

The formula for arithmetic sequence is given by:

$a_n = a_1+(n-1)d$

Putting the values

$a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n$

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.

So,

$a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580$

Hence,

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

5 0

2 years ago

Solve for x. Round answer to the nearest tenth. 17 54° х