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fredd [130]
3 years ago
10

Ava, Natalie, Esraa, and Savannah are all running a race. Each girl finishes at a different time. Ava finishes the race in 12.89

seconds. Natalie finishes the race in 12 34 seconds. Esraa finishes the race in 12 2/10 seconds. Savannah finishes the race in 12.988 seconds. Which girl finished in 2nd place?
Mathematics
1 answer:
gayaneshka [121]3 years ago
3 0

Natalie

Step-by-step explanation:

Esraa finishes in 12.2 secons making her first.

natalie finishes in 12.34 seconds making her second.

Ava finishes in 12.89 making her third.

and Savannah finishes in 12.988 seconds making her last.

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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
-2(3x-3)=4x please help solve for x=
Llana [10]

Answer:

exact form:

x= 3/5

Decimal form:

x=0.6

6 0
3 years ago
Read 2 more answers
1) h(x)=3x3<br>g(x)= - 4x+1<br>Find (h+g)(10)​
Aleksandr-060686 [28]

Answer:

(h+g)(10) = 2691

Step-by-step explanation:

h(x) = 3x^3\\g(x) = -4x+1

Adding both equations will make it:

(h+g)(x) = 3x^3-4x+1

Putting x = 10 will make it:

(h+g)(10) = 3(10)^3-4(10)+1

= 3(1000)-40+1

= 3000-39

= 2961

3 0
3 years ago
An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes to the nearest
Anit [1.1K]
Step 1
Formulate a recursive sequence modeling the number of grams after n  minutes.
we have that
100%-17.1%-------------- > 82.9%------------> 0.829

a(n) = 780*[0.829<span>^n]
</span>
for n=19 minutes
a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g

the answer is 22.1 g
6 0
3 years ago
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Answer:

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Simplifying, you get Area=100π, or about 314.16

7 0
3 years ago
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