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3 years ago

Which impooper fraction is equal to 3 1/2?

1 answer:

3 0

To convert a number into an improper fraction you take the whole number, multiply it by the denominator, and add it to the numerator
3×2=6
6+1=7
the answer is 7/2

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What does the PErron-Frobenius Theorem say, and why is it useful?

Alex787 [66]

Answer:

Perron–Frobenius theorem for irreducible matrices. Let A be an irreducible non-negative n × n matrix with period h and spectral radius ρ(A) = r. Then the following statements hold. The number r is a positive real number and it is an eigenvalue of the matrix A, called the Perron–Frobenius eigenvalue.

5 0

3 years ago

There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model

Helga [31]

$\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill$

$A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}$

7 0

2 years ago

Identify the contrapositive of the following statement. If x = 2, then x + 3 = 5.

antiseptic1488 [7]

Answer:

If x + 3 ≠ 5, then x ≠ 2 thus b: is your Answer

Step-by-step explanation:

4 0

3 years ago

If 6xa=54 and b-a=14 what is axb

bagirrra123 [75]

6a=54 so a=54/6, a=9

b-a=14, and using a found above...

b-9=14

b=23, so a=9 and b=23 so

ab=9(23)=207

6 0

3 years ago

Read 2 more answers

Find the value of x in the given right triangle

olchik [2.2K]

Answer:

The answer to your question is x = 35°

Step-by-step explanation:

Data

angle x = ?

Opposite side = 7

Adjacent side = 10

Process

To answer this question use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is the tangent.

Tan x = Opposite side / Adjacent side

- Substitution

Tan x = 7 / 10

- Simplification

Tan x = 0.7

- Result

Tan⁻¹ x = x = 34.99 or x ≈ 35°

3 0

3 years ago