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2 years ago

Find the location of A' given that A is (4,5). Translate 1 unit left. The location of A is

Mathematics

1 answer:

Nady [450]2 years ago

8 0

Answer:

3,5

Step-by-step explanation:

You just move it to the left

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How many 2 1/2 inch-long steel stakes can Curtis cut from a piece of steel that is 25 inches long?

aleksley [76]

10 or u could do 25 divided by 2.5 is 10

7 0

2 years ago

Julie was given a new map of New Hampshire to calculate some distances. The scale is 1 inch = 50 miles. How far is Conway from L

Aloiza [94]

Answer:

Conway is 312.50 miles from Littleton

Step-by-step explanation:

Given

$Scale: 1\ in = 50\ mi$

See attachment

Required

Distance between Conway and Littleton

The scale distance between Conway and Littleton is 6.25 inches.

So, the actual distance is calculated as:

$1\ in = 50\ mi$

Multiply both sides by 6.25

$6.25 * 1\ in = 50\ mi * 6.25$

$6.25\ in = 312.50\ mi$

<em>Hence, Conway is 312.50 miles from Littleton</em>

7 0

2 years ago

In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 4% of the suburban po

Sedbober [7]

Answer:

City @ 2017 = 8,920,800

Suburbs @ 2017 = 1, 897, 200

Step-by-step explanation:

Solution:

- Let p_c be the population in the city ( in a given year ) and p_s is the population in the suburbs ( in a given year ) . The first sentence tell us that populations p_c' and p_s' for next year would be:

0.94*p_c + 0.04*p_s = p_c'

0.06*p_c + 0.96*p_s = p_s'

- Assuming 6% moved while remaining 94% remained settled at the time of migrations.

- The matrix representation is as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}p_c\\p_s\end{array}\right] = \left[\begin{array}{c}p_c'\\p_s'\end{array}\right]$

- In the sequence for where x_k denotes population of kth year and x_k+1 denotes population of x_k+1 year. We have:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_k = x_k_+_1$

- Let x_o be the populations defined given as 10,000,000 and 800,000 respectively for city and suburbs. We will have a population x_1 as a vector for year 2016 as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o = x_1$

- To get the population in year 2017 we will multiply the migration matrix to the population vector x_1 in 2016 to obtain x_2.

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o$

- Where,

$x_o = \left[\begin{array}{c}10,000,000\\800,000\end{array}\right]$

- The population in 2017 x_2 would be:

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}10,000,000\\800,000\end{array}\right] \\\\\\x_2 = \left[\begin{array}{c}8,920,800\\1,879,200\end{array}\right]$