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3 years ago

Determine whether the sequence converges or diverges. If it converges, give the limit.

Mathematics

1 answer:

ELEN [110]3 years ago

3 0

Answer:

The sequence converges to 0.

Step-by-step explanation:

Every new number is divided by 4 and will continue to grow smaller until it converges to 0.

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The two containers are mathematically similar in shape. The larger container has a volume of 3456cm3 and a surface area of 1024c

grin007 [14]

Answer:

1458/3456 = 27/64 (simplification)

cube root of 27/64 = 3/4

square of 3/4 = 9/16

9/16 multplied by 1024 = 576.

THIS IS THE REAL WORKING AND ANSWER

Pls mark me brainliest

4 0

4 years ago

Consider a sequence whose first three

snow_tiger [21]

Answer:

Below, depends if 27 is term number 1 or term number 0. Answered for both cases.

Step-by-step explanation:

The most common sequences are arithmetic and geometric, so lets check those first.

Arithmetic first since its the easiest.

to go from 27 to 21 we subtract 6, if we subtract 6 from 21 again we get to 15, which is what we need, so it is indeed arithmetic.

Explicit formula is basically of the form of y=mx+b with an arithmetic sequence. the m is the common difference and b is the first term minus the common difference. so lets fill those in. y = -6x + 33

Then it usually has n as the x and y f(n) so we'll just put those in

f(n) = -6n + 33

This si as long as the first term is labeled as term number 1 and not term number 0. if you have 27 as term 0 instead just make 33 back to 27, so f(n) = -6n + 27

Let me know if this doesn't make sense.

5 0

3 years ago

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. With the given information, wh

GarryVolchara [31]

the answer is true i think

8 0

4 years ago

Read 2 more answers

Determine which function has the greatest rate of change over the interval [0, 2].

ruslelena [56]

Remember that the average rate of change of a function over an interval is the slope of the straight line connecting the end points of the interval. To find those slopes, we are going to use the slope formula: $m= \frac{y_{2}-y_{1}}{x_2-x_1}$

Rate of change of $a$ :
From the graph we can infer that the end points are (0,1) and (2,4). So lets use our slope formula to find the rate of change of $a$ :
$m= \frac{y_{2}-y_{1}}{x_2-x_1}$
$m= \frac{4-1}{2-0}$
$m= \frac{3}{2}$
$m=1.5$
The average rate of change of the function $a$ over the interval [0,2] is 1.5

Rate of change of $b$ :
Here the end points are (0,0) and (2,2)
$m= \frac{2-0}{2-0}$
$m= \frac{2}{2}$
$m=1$
The average rate of change of the function $b$ over the interval [0,2] is 1

Rate of change of $c$ :
Here the end points are (0,-1) and (2,0)
$m= \frac{0-(-1)}{2-0}$
$m= \frac{1}{2}$
$m=0.5$
The average rate of change of the function $c$ over the interval [0,2] is 0.5

Rate of change of $d$ :
Here the end points are (0,0.5) and (2,2.5)
$m= \frac{2.5-0.5}{2-0}$
$m= \frac{2}{2}$
$m=1$
The average rate of change of the function $d$ over the interval [0,2] is 1

We can conclude that the <span>function that has the greatest rate of change over the interval [0, 2] is the function a.</span>

4 0

3 years ago

"what is the value of a in the equation 81^b=a^4b"

stira [4]

Solving for B = 0
Then We have A which is = 81 ^b

6 0

3 years ago