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2 years ago

How do you solve this?

Mathematics

2 answers:

Radda [10]2 years ago

8 0

Answer:

1 and 9

Step-by-step explanation:

$5-\sqrt{16}$

$5+\sqrt{16\\$

Kobotan [32]2 years ago

3 0

Answer:

Well one do the square root of 16

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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

3 years ago

The price of a gallon of unleaded gas was $2.80 yesterday. Today, the price rose to $2.87 . Find the percentage increase. Round

marin [14]

Earlier price is 2.80
Current price is 2.87

Increment is
2.87 - 2.80
0.07

Increment percentage is
(0.07 / 2.80) * 100
2.5 %

4 0

3 years ago

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh

amm1812

Answer: c. 0.0778

Step-by-step explanation:

Let X is the number of non-authentic names in her sample with parameter :

n= 5 and p=40% = 0.40

Binomial probability distribution, the probability of getting success in x trials :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

We have ,

$P(X=0)=^{5}C_0(0.40)^0(1-0.40)^{5}\\\\=(1)(0.60)^{5}\\\\=0.07776\approx0.0778$

Thus , the correct answer is option c. 0.0778

8 0

3 years ago

I NEED THIS ASAP 5/8 of 48 is equal to 8/15 of some number. What is this number?

murzikaleks [220]

(5/8) × 48 = (8/15) × n

Multiply by the inverse of the coefficient of n. That inverse is 15/8.

n = (15/8)×(5/8)×48 = (75/64)×48 = 225/4 = 56 1/4

5/8 of 48 is equal to 8/15 of 56 1/4

5 0

2 years ago

How many solutions does the system of nonlinear equations graphed below have?

astra-53 [7]

Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.

Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.

Step-by-step explanation:

7 0

3 years ago