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vovangra [49]
3 years ago
12

What is the graph of y=4^x+3

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer:

Exponential

Step-by-step explanation:

Since the x is to the power of 4, a small increase in x is amplified when it becomes the output of y.

Edit: Here is a screenshot of the graph

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A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
Find the size of deb
Akimi4 [234]

Answer:

4x + 3 = 6x - 53 \\ 6x - 4x = 3 + 53 \\ 2x = 56 \\ x =  \frac{56}{2}  = 28

8 0
2 years ago
Jeffrey had both chocolate cake and coconut cake at his birthday party. There were 25 people at the party, and 20 of them picked
Irina18 [472]

Answer: 555555

Step-by-step explanation:

55555

7 0
2 years ago
How many solutions does the equation -3(2x+5)=-15 have?
Mamont248 [21]

Answer:

Step-by-step explanation:

-3(2x+5)=-15

-6x-15= -15

-6x=0

No solutions

4 0
2 years ago
Can you guys help me with this question?
Rasek [7]

Answer:

it represents 10 stars in the galaxies

Step-by-step explanation:

10 to the power of 12 would be 1,000,000,000,000, 10 to the power of 11 would be 100,000,000,000, and those two number divided equals simply 10.

8 0
2 years ago
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