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xz_007 [3.2K]
3 years ago
10

Plz help It’s important

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

Answer:

do 24 points i know it very well

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Model the data using an exponential function f(x) = Abx. HINT [See Example 1.]
zlopas [31]
We take the function as a sequence

Term 1 ⇒ 5 
Term 2 ⇒ 4
Term 3 ⇒ 3.2

Between terms, there is a common ratio of ⁴/₅
We get it from here:
Term 2 / Term 1 = \frac{4}{5}
Term 3 / Term 2 = \frac{3.2}{4} = \frac{4}{5}

When a sequence has a common ratio between term, the sequence is a Geometric Sequence

n_{th}term=ar^{n-1}
Where a is the first term, r is the common ratio, and n is the term number

We have: a=5 and r= \frac{4}{5}
The formula for the function is

f(x)=5( \frac{4}{5})^{x-1}


4 0
3 years ago
Divide mixed numbers(no decimal answers)
cestrela7 [59]

Answer:

\\\frac{9}{10} NOT 100% sure! If its not this I think its \frac{22}{45}

8 0
3 years ago
The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre
Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : a=-2

Common difference : d = 5 - (-2)

                                      = 5 + 2

                                      = 7

nth term of an A.P. is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_n=-2+(n-1)(7)

According to the equation, a_n>200.

-2+(n-1)(7)>200

(n-1)(7)>200+2

(n-1)(7)>202

Divide both sides by 7.

(n-1)>28.857

Add 1 on both sides.

n>29.857

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Substituting n=30, a=-2 and d=7, we get

S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]

S_{30}=15[-4+(29)7]

S_{30}=15[-4+203]

S_{30}=15(199)

S_{30}=2985

Therefore, the sum of all the terms in the progression is 2985.

6 0
3 years ago
Very easy answer but does any one know what C is
Pavel [41]
Answer: As the number of rides given by the taxi driver increased, the earnings of the taxi driver also increases.
7 0
3 years ago
Read 2 more answers
The first term of a geometric sequence is 4 and the multiplier, or ratio, is 2. what is the sum of the first 5 terms of the sequ
miss Akunina [59]
Hi,
There must have a bug on the site !!!


LoveYourselfFirst deleted your answer to the question 
"Hello,Answer 
=1244+8+16+32+64=124 6 minutes ago"
<span>The first term of a geometric sequence is 4 and the multiplier, or ratio, is 2. what is the sum of the first 5 terms of the sequence?
</span>
a_1=4\\&#10;a_2=2*a_1=8\\&#10;a_3=2*a_2=2^2*a_1=4*4=16\\&#10;a_4=2^3*a_1=8*4=32\\&#10;a_5=2^4*a_1=16*4=64\\&#10;&#10;4+8+16+32+64=124&#10;&#10;

<span />


5 0
3 years ago
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