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VMariaS [17]
3 years ago
14

Evaluate the summation

Mathematics
2 answers:
polet [3.4K]3 years ago
6 0

Answer:

114

Step-by-step explanation:

The first term (a1) = 1 + 3 = 4   (substituting 1 for i)

The last term (L) = 12 + 3 = 15

So the sum of the 12 terms = (n/2)(a1 + L)

= (12/2) (4 + 15)

= 6 * 19

= 114   (answer)


Bad White [126]3 years ago
4 0

Answer:

114 so D is the correct choice


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If A+B = 76 & A -B = 38 What is A/B?
Igoryamba
A+B=76\\
A-B=38\ \ --->\ \ A=38+B\\\\
38+B+B=76\\
38+2B=76\ \ | subtract\ 38\\2B=38\ \ \ | divide\ by\ 2\\
B=19\\A=57\\\\
\frac{A}{B}=\frac{57}{19}=3
3 0
4 years ago
Read 2 more answers
What would be the maximum value for f(x) = −5x2 + 9
Maru [420]
Well, looking at the expression, it has a -5 on the leading term, that means is not just a quadratic, but is a parabolic graph and because the coefficient of the leading term is negative, is upside-down, or opening downwards.

because it opens downwards, it looks like an arc, comes from the bottom up up up gets to a "maximum" or U-turn (vertex), then goes back down down down.  So, where's the vertex anyway?

\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
f(x) = &{{ -5}}x^2&{{ +0}}x&{{ +9}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\left( -\cfrac{0}{2(-5)}~~,~~9-\cfrac{0}{4(-5)} \right)\implies (0~~,~~9)

so, that's where the vertex is, and the maximum value for f(x), is the y-coordinate of course, or 9.
3 0
3 years ago
A snack cart sells lemonade for $2 and hot dogs for $5. The vendor sold 86 items today for a total of $330.
Katen [24]

Answer:

(86 – h) + h = 86

Step-by-step explanation:

$70+$260= $330

34 lemonade + 52 hot dogs = 86 items = $330

With 34 lemonade + 52 hotdogs h= 52

(86 – h) + h = 86 = 86-52+52=86

7 0
3 years ago
Read 2 more answers
Brady rode his bike 70miles in 4 hours. He rode at an average speed of 17 mph for t hours and at an average speed of 22mph for t
sladkih [1.3K]

Answer:

The Distance cover by Brandy rod at slower speed of bike is 61.2 miles  .

Step-by-step explanation:

Given as :

The total distance cover by Brady rode with bike = d = 70 miles

The total time taken  by Brady rode with bike = 4 hours

The time taken for average speed of 17 mph = t hours

Let The time taken for average speed of 22 mph = (4 - t) hours

Let The distance cover for slower speed = d miles

<u>Now, From formula </u>

Distance = speed × time

So, Total distance cover = distance at slower speed + distance at faster speed

Or, 70 miles = 17 mph × t hours + 22 mph × (4 - t) hours

Or, 70 = 17 t + 22 × 4 - 22 × t

or, 70 = 88 + 17 t - 22 t

or, 22 t - 17 t = 88 - 70

or, 5 t = 18

∴  t = \dfrac{18}{5}

i.e  t = 3.6 hours

So, The time taken for average speed of 17 mph = t  = 3.6 hours

And The time taken for average speed of 22 mph = (4 - 3.6) = 0.4 hour

So, Distance cover at slower speed = slower speed × time at slower speed

i.e d = 17 mph × 3.6 h

Or, d = 61.2 miles

So, Distance cover at slower speed =  d = 61.2 miles

Hence, The Distance cover by Brandy rod at slower speed of bike is 61.2 miles  . Answer

4 0
3 years ago
The expression 25x2 - 81 can be rewritten as (5x - 9)(5x + 9). (5x - 9) is a ____ of 25x2 - 81. A) divisor B) factor C) multiple
stich3 [128]
Ans: B
The method (a^2-b^2) is considered as one of the many ways of factorisation.

Hope this can help.
4 0
4 years ago
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