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ryzh [129]
3 years ago
8

68

Mathematics
1 answer:
Scilla [17]3 years ago
7 0
Can you repost this with a picture please ?
You might be interested in
Plz help me my maths hw is due in a couple of hrs!!!
Hatshy [7]
The answers are in the picture
Have agreat day

7 0
3 years ago
Would you rather drive 0.3 miles to fill up for $3.59 per gallon OR drive 1.2 miles to fill up for $3.41 per gallon?Please expla
Vsevolod [243]
We know that, in the US, the average mile per gallon was 25 mpg in 2015. Since we don't have the mile per gallon of the car in our problem, we are going to use that average.
For our first situation, <span>drive 0.3 miles to fill up for $3.59 per gallon:
</span>\frac{25miles-----\ \textgreater \ 1gallon}{0.3miles-----\ \textgreater \ xgallons}
\frac{25}{0.3} = \frac{1}{x}
x= \frac{(1)(0.3)}{25}
x=0.012
<span>We just proved that in our trip, we used 0.012 gallon, and at $3.59 per gallon; we will pay  (0.012)(3.59)=$0.04 for that gasoline.

For our second situation, </span><span>drive 1.2 miles to fill up for $3.41 per gallon:
</span>\frac{25miles-----\ \textgreater \ 1gallon}{1.2miles-----\ \textgreater \ xgallons}
\frac{25}{1.2} = \frac{1}{x}
x= \frac{(1)(1.2)}{25}
x=0.048
We just proved that in our trip, we used 0.048 gallon, and at $3.41 per gallon; we will pay  (0.048)(3.41)=$0.16 for that gasoline.

We can conclude that is much better to drive 0.3 miles to fill up for $3.59 per gallon than drive <span>1.2 miles to fill up for $3.41 per gallon.</span>
8 0
3 years ago
Find the generating function for the sequence 1,-2,4,-8, 16, ...
kirill [66]

Answer:

  a(x)=\dfrac{1}{1+2x}

Step-by-step explanation:

The generating function a(x) produces a power series ...

  a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

  a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}

This can be rearranged to ...

  a_n+2a_{n-1}=0

We can formulate this in terms of a(x) as follows, then solve for a(x).

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

3 0
3 years ago
Read 2 more answers
Eric is planning to paint the four pillars that are attached to the front of his house. But, he needs to know how many square fe
mariarad [96]
Assume that the pillars are cylindrical..you're looking for the lateral surface area correct? to get the lateral surface area, you use the formula LSA = 2rh(pi) where r is radius h is height substitute the values... h = 10 d = 1 so r =1/2 so LSA = 2 (1/2)(10)(3.14) LSA = 10(3.14) LSA = 31.4 sq ft :D                                      Can You Mark Me Brainlest Plz...
6 0
3 years ago
Read 2 more answers
The cost of a computer is $849. The store is offering a 20% discount and a sales tax of 6% is added after the discount. What is
givi [52]
$849-20%=$679
$679+6%(sales tax)=$719
$719 is the total cost of the tv
3 0
3 years ago
Read 2 more answers
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