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salantis [7]
3 years ago
14

A collection of dimes is arranged in a triangular array with 17 coins in the base row, 16 in the next, 15 in the next, and so fo

rth.

Mathematics
2 answers:
Alona [7]3 years ago
8 0

Good evening ,

Answer:

<h2>153 dimes.</h2>

Step-by-step explanation:

1+2+3+...+17 =  (17×18)/2 = (17×18)÷2 = 153 dimes.

it’s the sum of 17 terms of a geometric series.

:)

Neko [114]3 years ago
4 0

Answer:

153 dimes

Step-by-step explanation:

17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 153

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15 plus the quotient of 60 and w
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15+60:w=15+\dfrac{60}{w}
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the floor of a shed has an area of 96 square feet. the floor is in the shape of a rectangle whose length is 4 feet less than twi
Paul [167]
Alright in this one, you are going to need to factor. 
The width is x
The length is 2x-4
To find the area of a rectangle is L*W
so (2x-4)(x) when distributed is 2x^2 -4x

Then put that in the equation and you have:
2x^2 -4x = 96
2x^2 -4x -96 = 0  

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3x(x+4)-4(x+4)=0
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3 0
3 years ago
Find the average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.
kvasek [131]

Answer:

Average rate of change = 2

Step-by-step explanation:

Find the average rate of change for f(x) = x^2 − 3x − 10 from x = −5 to x = 10.


f(-5) = (-5)^2 − 3(-5) − 10 = 25 + 15 - 10 = 30

f(10) = 10^2 − 3(10) − 10 = 100 - 30 - 10 = 60

Average rate of change:

   f(10) - f(-5)                     60  -  30                         30

-------------------- =   ------------------------------- =   -----------------------  = 2

     10 - (-5)                            15                               15

   

4 0
3 years ago
Decide, without calculation, if each of the integrals below are positive, negative, or zero. Let D be the region inside the unit
Schach [20]

The integrals over B and T will be positive. Keeping y fixed, xe^x is strictly increasing over D as x increases, so the integrals over x (i.e. the bottom/top left quadrants of D) is negative but the integrals over x>0 are *more* positive.

The integrals over R and L are zero. If we take f(x,y)=xe^x, then f(x,-y)=f(x,y), which is to say f is symmetric across the x-axis. For the same reason, the integral over all of D is also zero.

4 0
3 years ago
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