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Natasha2012 [34]
3 years ago
9

FIND THE VOLUME STEP BY STEP

Mathematics
1 answer:
nalin [4]3 years ago
7 0

Answer:

396 ft^{3}

Step-by-step explanation:

Okay, so first we will find the triangle area.

9 * 8 = 72/2 = 36.

Now multiply this by 11 (the width of the prism)

36 * 11 = 396 ft^{3}

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Write 25x10 to the power of 6 in standard form
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Answer:

25000000 is the correct answer

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A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of reachi
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Step-by-step explanation:

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What is the common rule for simplifying a negative exponent with a coefficient?<br> Ex: 3^-1
rjkz [21]
Anything to a negative power becomes the inverse with the coefficient to a positive power.
For example, 3^-1 becomes 1/3^1 or just 1/3.
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3 0
3 years ago
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F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B7%7D%20-%5Csqrt%7Bx%5E2%2B2x-15%7D" id="TexFormula1" title="\sqrt{x+7} -\
elena-s [515]

Answer:

x >= -7  ................(1a)

x >= 3   ...............(2a1)

Step-by-step explanation:

f(x) =  \sqrt{x+7}-\sqrt{x^2+2x-15}  .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0  .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1),  x >= -7  .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

OR

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3   ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7  ................(1a)

AND

(

x >= 3   ...............(2a1)

OR

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1)   OR  (1a) and (2b1)

( x >= -7 and x >= 3 )  OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3  OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

3 0
3 years ago
Read 2 more answers
if m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m
ElenaW [278]

Answer:

10

Step-by-step explanation:

m = least prime number = 2

n = least positive integer multiple of 12 = 12

n - m = 12 - 2 = 10

8 0
2 years ago
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