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3 years ago

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A computer program found that the line y=3x - 52 is the best line of best fit to represent the temperature outside and the amoun

t of ice cream sold on the beach. If the temperature is predicted to be 50 degrees tomorrow, how much ice cream can they expect to sell?

1 answer:

Aliun [14]3 years ago

4 0

Answer:

98

Step-by-step explanation:

given x = 50

=> y = 3(50)-52 = 150-52=98

the ice cream they can expect to sell = 98

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Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0

2 years ago

PLEASE HELP!!!!!!!

andre [41]

Answer:

$\frac{4^{21}}{5^6}$

Step-by-step explanation:

$\left(\frac{4^7}{5^2}\right)^3$

$=\frac{\left(4^7\right)^3}{\left(5^2\right)^3}$

$\left(4^7\right)^3$

$=4^{21}$

$=\frac{4^{21}}{\left(5^2\right)^3}$

$\left(5^2\right)^3$

$5^6$

$=\frac{4^{21}}{5^6}$

6 0

2 years ago

How do u write 5(2x - 1) in a distributive property

Nookie1986 [14]

Answer:

5(2x-1) = 5(2x) - 5(1)

Step-by-step explanation:

The distributive property states that multiplying a sum or difference of two terms by a number is equal to multiplying the same number with each term of the sum or difference separately and then adding the products.

It can be written as:

a(b+c) = ab + ac

or

a(b-c) = ab - ac

So, for the given question,

=>5(2x-1) = 5(2x) - 5(1)

5 0

3 years ago

Each sales associate at an electronics store has a choice of the two salary option shown below: 115 per week plus 9.5% commissio

Annette [7]

$450 per week earns you $450 total per week, for $<span>23,400 total
$115 per week earns you that plus 9.5% of $125,000, which is $</span>11,875, plus $5,980 which is $<span>17,855 total
There is a $</span><span>5,545 difference, making the $450 a week a better deal</span>

5 0

3 years ago

Find three prime numbers that add up to another prime number.

Illusion [34]

5+7+11=23
3+11+53=67
3+11+61=71
are some examples

3 0

3 years ago

Read 2 more answers