Give the numerical coefficient of the term -16m to the 2 power

Answers

Answer 1
Answer: It depends on what the question is asking for... If the problem looks like this: (-16m)^2 would equal 256*m^2. Since they want the numerical coefficient, the answer would be 256.

To the second power means that you're multiplying each number/variable within the parenthesis two times. In essence, we have (-16m)^2 = (-16*-16*m*m). -16*-16=256 and m*m=m^2. We get 256*m^2. Good luck!

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Write a compound inequality that represents the situation. On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.A. 20 ≥ x ≥ 50 B. 20 < x < 50 C. 20 > x > 50 D. 20 ≤ x ≤ 50

Question 17 A swimming pool holds 540,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in minutes, and the second pipe alone can empty it in minutes. When both pipes are draining together, how long does it take them to empty the pool?

Answers

Answer:

Step-by-step explanation:

: A swimming pool holds 600,000 liters of water. ... When the pool is completely full, the first pipe alone can empty it in 200 minutes, and the ... When both pipes are draining together, how long does it take them to empty the pool? ... The second pipe empties the pool at 600,000/120 =5000 litres per minute.

How many ways are there to distribute three different teddy bears and nine identical lollipops to four children (a) Without restriction? (b) With no child getting two or more teddy bears? (c) With each child getting three ""goodies""?

Answers

Answer:a) 14080, b) 5280, c) 64.

Step-by-step explanation:

Since we have given that

Number of teddy bears = 3

Number of identical lollipops = 9

Total number of things = 3+9 =12

Number of children = 4

(a) Without restriction?

Number of ways would be

4^3* ^(12)C_3\n\n=14080

(b) With no child getting two or more teddy bears?

4* 3!* ^(12)C_9\n\n=5280

(c) With each child getting three ""goodies""?

4^3=64

Hence, a) 14080, b) 5280, c) 64.

_____________ contains information that determines a cell's purpose and function.Cytoplasm
DNA
The nucleus
An organelle

Answers

DNA contains information that determines a cell's purpose and function. The correct option among all the options that are given in the question is the second option. The other choices are incorrect and can be neglected. I hope that this is the answer that has come to your desired help.

Answer:

DNA is the correct answer.

Step-by-step explanation:

" Deoxyribonucleic acid (DNA) , a self-replicating material which is present in nearly all living organisms as the main constituent of chromosomes. It is the carrier of genetic information "

                               OR

" Deoxyribonucleic acid ( DNA) is a molecule composed of two chains that coil around each other to form a double helix carrying the genetic instructions used in the growth, development, functioning, and reproduction of all known living organisms and many viruses "

Hence, the correct answer among all the options  is DNA .

i.e.

DNA contains information that determines a cell's purpose and function.

1/x-1 - 3/x+2 = 1/4

solve to find x

Answers

(1)/(x-1)-(3)/(x+2)=(1)/(4)\n \n (x+2-3(x-1))/((x-1)(x+2))=(1)/(4)\n \n (x+2-3x+3)/((x-1)(x+2))=(1)/(4)\n \n (5-2x)/(x^2+x-2)=(1)/(4)\n \n 4(5-2x)=x^2+x-2\n \n 20-8x=x^2+x-2\n \n \boxed{x^2+9x-22=0}

Solvin this quadratic equation with Bhaskara formula we find:

x = -11 or x = 2
(1)/(x-1) - (3)/(x+2) = (1)/(4) \ /\cdot 4(x-1)(x+2)\n\n(4(x-1)(x+2))/(x-1) - (3\cdot 4(x-1)(x+2))/(x+2) = (4(x-1)(x+2))/(4)\n\n4(x+2)-12(x-1)=(x-1)(x+2)\n\n4x+8-12x+12=x^2+2x-x-2\n\n-8x+20=x^2+x-2\n\n-x^2-9x+22=0\ /\cdot(-1)\n\nx^2+9x-22=0\ \ \ \Rightarrow\ \ \ x^2+11x-2x-22=0\n\nx(x+11)-2(x+11)=0\n\n(x+11)(x-2)=0\ \ \ \ \ \Leftrightarrow\ \ \ (x+11=0\ \ \ or\ \ \ x-2=0)\n\nx=-11\ \ \ or\ \ \ x=2

What is a number mulitplyed by 8 and added by 6?

Answers

xy = 8
x + y = 6

     x + y = 6
x - x + y = -x + 6
           y = -x + 6

                                 xy = 8
                       x(-x + 6) = 8
                   x(-x) + x(6) = 8
                        -x² + 6x = 8
                   -x² + 6x - 8 = 0
     -1(x²) - 1(-6x) - 1(8) = 0
              -1(x² - 6x + 8) = 0
                          -1           -1
                    x² - 6x + 8 = 0
             x² - 4x - 2x + 8 = 0
 x(x) - x(4) - 2(x) + 2(4) = 0
           x(x - 4) - 2(x - 4) = 0
                  (x - 2)(x - 4) = 0
      x - 2 = 0    or    x - 4 = 0
        + 2 + 2             + 4 + 4 
           x = 2       or      x = 4

   x + y = 6
   2 + y = 6
 - 2        - 2
         y = 4
   (x, y) = (2, 4)

           or
    x + y = 6
    4 + y = 6
  - 4        - 4
          y = 2
    (x, y) = (4, 2)

The two numbers that add up to 6 and multiply to 8 are 4 and 2.

Can anyone help me choose the correct answer?!

Answers

Answer:

f(x)=9x-7

when x=-1

f(-1)=9×-1-7=-9-7=-16

when x=0

f(0)=9×0-7=-7

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