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Dmitriy789 [7]
4 years ago
13

F(×)=log [x+4/×-1] find the domain

Mathematics
1 answer:
Anna35 [415]4 years ago
7 0
<span><span>The answer to your question (<span><span>−∞</span>,<span>−4</span></span>)</span>∪<span>(<span>1,∞</span>) </span></span><span>{<span>x|x<<span>−4</span></span>,<span>x>1</span></span>
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A population has the following characteristics.(a) A total of 25% of the population survives the first year. Of that 25%, 75% su
zaharov [31]

Answer:

After 1st year, the age distribution will be

x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]

After 2nd year, the age distribution will be

x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]

Step-by-step explanation:

A population has the following characteristics.

A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year.

The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.

From the above information, we can construct a transition age matrix.

A = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right]

The population now consists of 144 members in each of the three age classes.

From the above information, we can construct the current age matrix.

x = \left[\begin{array}{ccc}144\\144\\144\end{array}\right]

How many members will there be in each age class in 1 year?

After 1st year, the age distribution will be

x_1 = A \cdot x

x_1 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}144\\144\\144\end{array}\right]

The matrix multiplication is possible since the number of columns of first matrix is equal to the number of rows of second matrix.

x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]

After 2nd year, the age distribution will be

x_2 = A \cdot x_1

x_2 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]

x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]

4 0
4 years ago
Which of the following is a linear function?
Black_prince [1.1K]

Answer:

C

Step-by-step explanation:

the only it has constant rate of change (slope, gradient or derivative at every point is equal)

6 0
3 years ago
help⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️​
irinina [24]

Answer:

$1017.19

Step-by-step explanation:

First find the fraction of how much of Paulo's money is spent on his rent and car. Add 1/4 and 1/8, which is 3/8 because 1/4 = 2/8. Then multiply 3/8 by Paulo's monthly spending, which is $2712.50. Multiplying those numbers will get you $1017.1875. which you have to round up to $1017.19 because you can't spend three quarters of a cent.

8 0
3 years ago
Read 2 more answers
(8x+1)(2x-3) as a simplified polynomial
Ugo [173]

Answer:

(8x+1)(2x-3) as a simplified polynomial

Step-by-step explanation:

I think this is the answer not sure

5 0
3 years ago
A sphere has a volume of 500/3 π cubic centimeters. What is the total surface area , in square centimeters, of the sphere
lutik1710 [3]

Answer:

\large\boxed{S.A.=100\pi\ cm^3\approx314\pi\ cm^2}

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

R - radius

We have

V=\dfrac{500}{3}\pi\ cm^3

Substitute and solve for R:

\dfrac{500}{3}\pi=\dfrac{4}{3}\pi R^3        <em>divide both sides by π</em>

\dfrac{500}{3}=\dfrac{4}{3}R^3          <em>multiply both sides by 3</em>

500=4R^3                <em>divide both sides by 4</em>

125=R^3\to R=\sqrt[3]{125}\\\\R=5\ cm

The formula of a Surface Area os a sphere:

S.A.=4\pi R^2

Substitute:

S.A.=4\pi(5^2)=4\pi(25)=100\pi\ cm^2

\pi\apprx3.14\to S.A.\approx(100)(3.14)=314\ cm^2

7 0
3 years ago
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