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3 years ago

SOLVE AND JUSTIFY RIGHT ANSWER GETS BRAIN

Mathematics

1 answer:

DIA [1.3K]3 years ago

8 0

Answer:

x > 14

Step-by-step explanation:

It is really easy.

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Please name all of the property of multiplication for 4*(-3)*5

PIT_PIT [208]

Answer:

Step-by-step explanation:

You can multiply -3 by 4 and then multiply the result of that by 5, or you could write -3, 4 and 5 in other orders (6 possible orders) and obtain the same result.

I would multiply (-3) by 4, obtaining -12, and then multiply this -12 by 5, obtaining -60. But I could also multiply 5 by 4, obtaining 20, and then multiply this 20 by -3, obtaining the same -60.

What I have described here are the commutative and associative properties of multiplication.

6 0

3 years ago

A florist has to choose four different types of flowers to include in a bouquet. In how many ways can the florist do this, if th

Nat2105 [25]

Answer:

Step-by-step explanation:

Given:

Type of Flowers = 5

To choose = 4

Required

Number of ways 4 can be chosen

The first flower can be chosen in 5 ways

The second flower can be chosen in 4 ways

The third flower can be chosen in 3 ways

The fourth flower can be chosen in 2 ways

Total Number of Selection = 5 * 4 * 3 * 2

Total Number of Selection = 120 ways;

Alternatively, this can be solved using concept of Permutation;

Given that 4 flowers to be chosen from 5,

then n = 5 and r = 4

Such that

$nPr = \frac{n!}{(n - r)!}$

Substitute 5 for n and 4 for r

$5P4 = \frac{5!}{(5 - 4)!}$

$5P4 = \frac{5!}{1!}$

$5P4 = \frac{5*4*3*2*1}{1}$

$5P4 = \frac{120}{1}$

$5P4 = 120$

Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways

4 0

3 years ago

An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

P(0) = 0 and P(50) = 1,500,000

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The integrating factor is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

5 0

4 years ago

✓-90= Ai√B What is the value of A? What is the value of B?

olga2289 [7]

Answer:

A = 3, B = 10

Step-by-step explanation:

$\sqrt{-90}$

= $\sqrt{9(-1)(10)}$

= $\sqrt{9}$ × $\sqrt{-1}$ × $\sqrt{10}$

= 3i $\sqrt{10}$

in the form Ai $\sqrt{B}$

with A = 3 and B = 10

5 0

2 years ago

The two conditional relative frequency tables show the results of a neighborhood survey on the number and types of gardens in th

umka2103 [35]

Answer:

...what :V

Step-by-step explanation:

4 0

3 years ago