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3 years ago

What is the answer to -1 5/8 × 2 2/3

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer: -13/3

Step-by-step explanation: -1 5/8 -> -13/8 2 2/3-> 8/3

-13/8 x 8/3 = -104/24

= -13/3 OR -4 1/3

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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

What does 2(-6+4)-3(4+9)=

olasank [31]

Step-by-step explanation:

-43

Hope it helped youuh

8 0

3 years ago

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Use a proportion with sides AB and RS to find the scale factor of ABD to RST.

Dmitry_Shevchenko [17]

Answer:

$\boxed{3:1}$

Step-by-step explanation:

Similar triangles are those whose shape is the same, but they don't necessarily have the same size. However, the corresponding sides of the triangles are in the same length ratio. In this exercise, we know all the sides of triangle ΔABC and an only side of the triangle ΔRST. To find the scale factor, we must compute the following:

$\frac{AB}{RS}=\frac{18}{6}=3 \\ \\ Scale \ factor \\ \boxed{3:1}$

Finally, the other sides of the tingle ΔRST can be found by dividing each side of triangle ΔABC by 3 as follows:

$ST=\frac{15}{3}=5 \\ \\ RT=\frac{9}{3}=3$

4 0

4 years ago

What are the amplitude, period, and midline of a function?

horsena [70]

The midline is a horizontal axis that is used as the reference line about which the graph of a periodic function oscillates.

More About MidlineThe equation of the midline of periodic function is the average of the maximum and minimum values of the functionExamples of Midline<span>Figure-1 shows y = sin x and Figure-2 shows y = sin x + 1. The second curve is the first curve shifted vertically up by one unit.
The midline of y = sin x is the x-axis and the midline of y = sin x + 1 is the line y = 1.</span>

8 0

3 years ago

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Please help me with this.

Ierofanga [76]

Answer:

ok umm this looks hard can u give mor info?

Step-by-step explanation:

8 0

2 years ago