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2 years ago

13

Ms. Mosher recorded the math test scores of six

1 answer:

ale4655 [162]2 years ago

4 0

The mean of the students scores is 81.3, the median is 80.
If Ms.Mosher adds 5 bonus points to each student, the mean and median will both increase by 5 of the six student’s scores!

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What is the equation of the circle whose center and radius are given.

muminat

Hello!

The equation for a circle is

$(x - h)^{2} + ( y - k)^{2} = r^{2}$

(h,k) is the center
r is the radius

Put in the values you know

$(x - 7)^{2} + ( y + 3)^{2} = 7^{2}$

Simplify

$(x - 7)^{2} + ( y + 3)^{2} = 49$

The equation is $(x - 7)^{2} + ( y + 3)^{2} = 49$

Hope this helps!

5 0

2 years ago

Read 2 more answers

Use an inequality symbol to compare -3 +7____-10-2

Damm [24]

Answer:

-3+7 > -10-2

Step-by-step explanation:

-3+7 = +4

-10-2 = -12

∴ +4 > -12

7 0

2 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

<em>P(0) = 0 and P(50) = 1,500,000 </em>

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

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

The <em>integrating factor </em>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

so

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

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

Which exponential function has an x-intercept?

klasskru [66]

Answer:

therefore f(x)=100x-5-1 has an x-intercept

7 0

3 years ago

What is the next number in this sequence? 2, 16, 128, 1024, ___________

TEA [102]

Just multiply by 8 each time hope this helps :)))

5 0

2 years ago