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3 years ago

What is the product of (−4)⋅(−4)⋅(−4)⋅y⋅y using exponents

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

3 0

Answer:

$(-4)^{3$ * $y^{2}$

This should be right.

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Help pls. Express your answer as a fraction in simplest form.

Strike441 [17]

Your answer is D since 53 is the total amount of bottle caps and only 2 of them are marked. so that will leave you with a 2/53 chance of getting the prize.

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3 years ago

Which statements are true about Aimee's and Theo's

trapecia [35]

The answer is Aimee divided out the factors 4 and 2 form 875

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3 years ago

Read 2 more answers

Whats is the zero of function ? A -3 B-3/2 C-2/3 D-2

Brrunno [24]

Answer:

D. -2

Step-by-step explanation:

The zero of a function is always along the x-axis and in this case that's -2.

Hope this helps :)

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3 years ago

The number p and 2/3 are additive inverses. Drag and drop 2/3 and p to their correct positions on the number line. Drag and drop

Airida [17]

On the number line, p would be to the left of 2/3. The sum of p and 2/3 equals 0.

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3 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:

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

5 0

3 years ago