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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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How many ounces of kernels are needed to make 100 servings?
otez555 [7]
First you have to find out how many ounces are in 1 serving. the multiply that by 100

6 0
3 years ago
Combine like terms.<br><br> -2x4+16+2x4+9-3x5
Mademuasel [1]

Answer:

25 - 3x^5

Step-by-step explanation:

-2x^4+16+2x^4+9-3x^5

Combine like terms

-2x^4+2x^4+9+16-3x^5

0                 + 25 -3x^5

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3 years ago
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Select the answer choice that equals the given expression. 8^-3 x 8^-2 x ^5
Alexus [3.1K]

Answer:

B) 1

Step-by-step explanation:

Given:

8^{-3}\times 8^{-2}\times8^5

We need to solve the given expression.

Now We know that when base of the exponents then the law of indices applied for the same.

Now According to Law of Indices.

x^a\times x^b = x^{a+b}

On Solving the above expression we get;

8^{-3+(-2)+5}\\\\8^{-3-2+5}\\\\8^{-5+5}\\\\8^0\\\\\textrm{Now Again by law of indices;}\\\\a^0 =1\\\\Hence\ 8^0 = 1

Hence The Simplified form of given expression is 1.

5 0
3 years ago
What two numbers multiply to 44 and add up to 12?
djverab [1.8K]
This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.

let the two numbers be x and y.

Multiply to 44.      x*y = 44 ..........(a)

Add up to 12.      x + y = 12 .........(b)

From (b)

y = 12 - x .......(c)

Substitute (c) into (a)

x*y = 44

x*(12 - x) = 44   

12x - x² = 44

-x² + 12x = 44

-x² + 12x - 44 = 0.       

Multiply both sides by -1

-1(-x² + 12x - 44) = -1*0

x² - 12x + 44 = 0.   

This does not look factorizable, so let us just use quadratic formula

comparing to ax² + bx + c = 0, x² - 12x + 44 = 0,  a = 1, b = -12, c = 44 

x = (-b + √(b² - 4ac)) /2a   or (-b - √(b² - 4ac)) /2a


x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)    

x = (12 + √(144 - 176) )/ 2

x = (12 + √-32 )/ 2

√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2

Where i is a complex number.  Note the equation has two values. We shall include the second, that has negative sign before the square root.

x = (12 + √-32 )/ 2      or     (12 - √-32 )/ 2   

x = (12 + 4i√2 )/ 2              (12 - 4i√2 )/ 2 

x = 12/2 + (4i√2)/2                12/2 - (4i√2)/2

x = 6 + 2i√2            or         6 - 2i√2

Recall equation (c):

y = 12 - x, When x = 6 + 2i√2,  y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2

When x = 6 - 2i√2,  y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2


x = 6 + 2i√2,  y = 6 - 2i√2

x = 6 - 2i√2,  y = 6 + 2i√2

Therefore the two numbers that multiply to 44 and add up to 12 are:

6 + 2i√2 and 6 - 2i√2
8 0
2 years ago
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Answer:

a.

Step-by-step explanation:

I believe it's Voluntary Response Bias

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