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azamat
3 years ago
13

Find the perimeter of a rectangle with length 7x - 2 and width 5x^2 + 1.

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

10x^2 + 14x - 2

Step-by-step explanation:

So for the perimeter, you have to solve 2(7x-2) + 2(5x^2+1)

So distribute the 2s on both s we get 14x - 4 + 10x^2 + 2

This in standard form is 10x^2 + 14x - 2

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An analyst at Umbrella Corporation studied the relationship between the sales (in millions of dollars) of a product (Y) and popu
Sunny_sXe [5.5K]

Answer:

OPTION A: The company can be 95% confident, based on the method used to calculate the interval, that the true increase in mean sales for each additional 1 million persons in the marketing district is between $453,000 and $1,060,000.

Step-by-step explanation:

Note that the slope here is the increase in sales (in millions of dollars) per every 1 million increase in population. Hence, as this is a confidence interval for the slope, then

OPTION A: The company can be 95% confident, based on the method used to calculate the interval, that the true increase in mean sales for each additional 1 million persons in the marketing district is between $453,000 and $1,060,000.

5 0
3 years ago
Juan y Andrés son adultos mayores y maratonistas. Hoy participaron en la maratón internacional de los Andes.El locutor que cubre
Ira Lisetskai [31]

Answer:

3 hours 8 seconds

Step-by-step explanation:

Juan and Andrés are older adults and marathoners. Today they participated in the international marathon of the Andes. The announcer who covers this sporting event reported that Juan had finished the race with a time of 3¾ hours. Tijuanito the route in ⅔ of hours more than Andrés, how long did Andrés finish the marathon ?.

It is given that,

Juan had finished the race with a time of 3¾ hours.

He takes ⅔ of hours more than Andrés.

We need to find how long did Andrés finish the marathon.

Time taken by Juan = \dfrac{15}{4} hours

Time taken by Tijuanito is \dfrac{2}{3} hours more than Andrés.

So, Andrés finish the marathon \dfrac{15}{4}-\dfrac{2}{3}=3.08\ \text{hours} before.

5 0
3 years ago
I need someone...
S_A_V [24]

       ➣ Assignment: \bold{Solve \ Equation: \ 3^3=x+5^5}

↔↔↔↔↔↔↔↔

       ➣ Answer: \boxed{\bold{x=-3098}}

↔↔↔↔↔↔↔↔

Explanation: ↓↓↓↓↓

↔↔↔↔↔↔↔↔

       ➤ [ Step One ] Switch Sides

\bold{x+5^5=3^3}

       ➤ [ Step Two ] Simplify: \bold{5^5=3125}

\bold{x+3125=3^3}

       ➤ [ Step Three ] Simplify: \bold{3^3=27}

\bold{x+3125=27}

       ➤ [ Step Four ] Subtract 3125 From Both Sides

\bold{x+3125-3125=27-3125}

       ➤ [ Step Five ] Simplify

\bold{x=-3098}

↔↔↔↔↔↔↔↔

\bold{\rightarrow Mordancy \leftarrow}

6 0
3 years ago
Please help with question below
Sedaia [141]

The sum of the first 100 terms of the arithmetic series is of 58,900.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

a_n = a_1 + (n - 1)d

In which a_1 is the first term.

The sum of the first n terms is given by:

S_n = \frac{n(a_1 + a_n)}{2}

For this problem, the parameters are:

a_1 = -5, d = 12, n = 100

Then:

a_{100} = -5 + 99(12) = 1183

Hence the sum is given by:

S_{100} = 50(-5 + 1183) = 58,900

More can be learned about an arithmetic sequence at brainly.com/question/6561461

#SPJ1

7 0
1 year ago
U.S. craft-beer breweries (breweries that make fewer than 6 million barrels annually and are less than 25% owned by big brewerie
yarga [219]

Answer:

(a) a = 43.25 , b = 41 and c = 1547

(b) The number of craft-beer breweries in 2016 = 4643

Step-by-step explanation:

Given that the number of small craft-beer breweries from 2008 to 2012 is modeled by using a quadratic function of the form f(t) = at² + bt + c where a, b, and c are constants and t is measured in years, with t = 0 corresponding to 2008.

(a) Now we have to find these constants given f(0) = 1547, f(2) = 1802, and f(4) = 2403.

So, <em>f(0) = </em>a*(0)^{2} + b*(0) + c<em> which implies that </em><em>c = 1547</em><em>.</em>

<em>f(2) = </em>a*(2)^{2} + b*(2) + c<em> = 4a + 2b + c</em>

  4a + 2b + c = 1802 ----------- [Equation 1]

<em>f(4) = </em>a*(4)^{2} + b*(4) + c<em> = 16a + 4b + c </em>

   16a + 4b + c = 2403 ----------- [Equation 2]

Further solving Equation 1 we get;   4a + 2b + 1547 = 1802

                  4a + 2b = 1802 - 1547  ;   4a + 2b = 255 ----------- [Equation 3]

Further solving Equation 2 we get;   16a + 4b + 1547 = 2403

                  16a + 4b = 2403 - 1547  ;   16a + 4b = 856 ----------- [Equation 4]

Now, Solving Equation 3 and 4 we get ;

          a = 43.25 and b = 41 .

Therefore, values of constants a, b and c are 43.25, 41 and 1547 respectively.

(b) So, model we obtained in part (a) is represented as :

                  f(t) = 43.25t^{2} + 41t + 1547

Now to estimate the number of craft-beer breweries in 2016, assuming that the trend continued we know that t would be 8 as 2016 - 2008 = 8 years.

<em>So, f(8) = </em>43.25*(8)^{2} + 41*8 + 1547<em> = 4643.</em>

6 0
3 years ago
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