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natta225 [31]
3 years ago
12

Find the mistake. How would you solve this problem correctly? plz answer btw those a minus this is due at 11: 59

Mathematics
1 answer:
garik1379 [7]3 years ago
4 0

Answer:

The mistake is in the second "problem" or the second part

Step-by-step explanation:

solve correctly by using pemdas when there are parenthesis but only "one" number (4) and a variable (x) you multiple (bring over the 6 and times both) leaving you with 6x + 24

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Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum
const2013 [10]

Answer:  The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

S=\sum_{i=1}^{\infty}15(4)^{i-1}.

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, \sum_{i=1}^{\infty}a_i is an infinite series, with complex coefficients a_i and we consider the following limit:

L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.

Then, the series will be convergent if  L < 1 and divergent if  L > 1.

For the given series, we have

a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.

So, the limit is given by

L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0
3 years ago
Read 2 more answers
Can someone help please
Jlenok [28]

1/2

plsss mark brainliestt

Step-by-step explanation:

3/6

1.5/3

5/2.5

5 0
3 years ago
Write the slope-intercept form of the equation of the line given the
svetoff [14.1K]

Answer:

y= -4x-7 or 4x+y= -7

Step-by-step explanation:

we know y=mx+c

given,

m=-4 c=-7

the equation y= -4x-7 or 4x+y= -7

thank u

5 0
3 years ago
Which situation can be modeled by a linear function?
horrorfan [7]
Number 1 The population of bacteria triples every day.
7 0
3 years ago
A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 22 inches and a height of 66 inches
icang [17]

Answer:

The height of the new cones will be 16.5 inches.

Step-by-step explanation:

We know that,

The volume of a cone is,

V=\frac{1}{3}\pi r^2 h

Where, r is the radius of the cone,

h is the height of the cone,

In the original cone,

r = 22 inches,

h = 66 inches,

Thus, the volume would be,

V_1=\frac{1}{3}\pi (22)^2(66)

Also, for the new cone,

r = 44 inches,

Let H be the height,

So, the volume of the new cone would be,

V_2=\frac{1}{3}\pi (44)^2(H)

According to the question,

V_2=V_1

\implies \frac{1}{3}\pi (44)^2(H)=\frac{1}{3}\pi (22)^2(66)

\implies H=\frac{22^2(66)}{44^2}=(\frac{22}{44})^2\times 66 = \frac{66}{4}=16.5

Hence, the height of the new cones will be 16.5 inches.

7 0
3 years ago
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