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3 years ago

Downsizing is a strategy that

Mathematics

1 answer:

Gala2k [10]3 years ago

7 0

it is to invest in the amount of supply you have and amount of money you earn. making the best out of what you got.

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What’s is the inverse function of a(m)=0.6735e^0.423m

natta225 [31]

Answer:

$a^{-1}(m)=\frac{ln(\frac{m}{0.6735})}{0.423}$

Step-by-step explanation:

The function is $a(m)=0.6735e^{0.423m}$

Changing functional notation of a(m) to y:

$y=0.6735e^{0.423m}$

Now, interchanging m and y:

$m=0.6735e^{0.423y}\\$

Now, solving for y:

$e^{0.423y}=\frac{m}{0.6735}\\ln[e^{0.423y}]=ln[\frac{m}{0.6735}]\\0.423y=ln(\frac{m}{0.6735})\\y=\frac{ln(\frac{m}{0.6735})}{0.423}$

Thus, the inverse function is:

$a^{-1}(m)=\frac{ln(\frac{m}{0.6735})}{0.423}$

5 0

3 years ago

Prove the following statement.

gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form $2k+1$ where $k\in \mathbb{Z}$ . Consider the following cases.

Case 1. If $k$ is even we have: $(2k+1)^{2}=(2(2s)+1)^{2}=(4s+1)^{2}=16s^2+8s+1=8(2s^2+s)+1$ .

If we denote by $m=2s^2+2$ we have that $(2k+1)^{2}=8m+1$ .

Case 2. if $k$ is odd we have: $(2k+1)^{2}=(2(2s+1)+1)^{2}=(4s+3)^{2}=16s^2+24s+9=16s^{2}+24s+8+1=8(2s^{2}+3s+1)+1$ .

If we denote by $m=2s^{2}+24s+1$ we have that $(2k+1)^{2}=8m+1$

This result says that the remainder when we divide the square of any odd integer by 8 is 1.

6 0

3 years ago

the area of a gymnasium floor is 264 square yard. the floor is 11 yards wide . how long is the floor?

Alekssandra [29.7K]

Area = Length x Width (A = L x W)

A = 264, W = 11, L = ?

Rewrite the equation to find L. In order to reverse multiplication, you must divide.

L = A / W

L = 264 / 11 = 24 yards

4 0

3 years ago

Read 2 more answers

Plzzz helppp will mark brainlest stpps plzz if possible

VMariaS [17]

Answer:

Step-by-step explanation:

Law of sines

$\frac{Sin A}{a}$ = $\frac{Sin B}{b}$

A and B are angles.

a and b are sides opposite corresponding angles.

8 0

3 years ago

Solve for x<br> a 2.2<br> b 5.4<br> c 6.5<br> d 7.2

Reika [66]

Answer:

Step-by-step explanation:

Given that the segment is an angle bisector then the ratio of sides and base are equal, that is

$\frac{10}{4}$ = $\frac{18}{x}$ ( cross- multiply )

10x = 72 ( divide both sides by 10 )

x = 7.2 → D

8 0

3 years ago