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mart [117]
2 years ago
5

8.

Mathematics
1 answer:
Semenov [28]2 years ago
8 0

Answer:

= 3^9

Step-by-step explanation:

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Anya graphed the line (y-2)=3(x-1) on the coordinate grid.
gregori [183]
Answer: The slope is 3
5 0
3 years ago
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Find the common ratio 24,18,37/2,81/8
Vinil7 [7]

Note: The third term of the sequence should be \dfrac{27}{2} instead of \dfrac{37}{2}, otherwise the sequence has no common ratio.

Given:

The given sequence is

24,18,\dfrac{27}{2},\dfrac{81}{8}

To find:

The common ratio of the given sequence.

Solution:

The quotient of each pair of consecutive terms are:

\dfrac{18}{24}=\dfrac{3}{4}

Similarly,

\dfrac{\dfrac{27}{2}}{18}=\dfrac{27}{36}

\dfrac{\dfrac{27}{2}}{18}=\dfrac{3}{4}

And,

\dfrac{\dfrac{81}{8}}{\dfrac{27}{2}}=\dfrac{81}{8}\times \dfrac{2}{27}

\dfrac{\dfrac{81}{8}}{\dfrac{27}{2}}=\dfrac{3}{4}

Therefore, the common ratio of the given sequence is \dfrac{3}{4} or 0.75.

8 0
3 years ago
Which of the following is a complex number? (Look at picture)
schepotkina [342]

Answer:

B.

Step-by-step explanation:

In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.

3 0
2 years ago
Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease
Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

\frac{2}{3}

Now,

First year =570000

Second year is given by

570000\times (\frac{1}{3})

Third year is given by

570000(\frac{1}{3})^2

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6

a=570000

common ratio is given by

r=\frac{a_2}{a_1}=\frac{1}{3}

number of terms = 6

Sum of terms will be given by

S_n=\frac{a(1-r^n)}{(1-r)}

We'll put this value in this formula,

S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16

So, there are approximately 853827 new cases in 6 years.

6 0
3 years ago
if you took a loan of fifteen million dollars from the bank and the loan is to be repaid in ten years at a simple interest of 5%
Vikki [24]

$750000 for all 10 years and $375000 for just ten years

7 0
3 years ago
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