A10-ml graduate weighs 42.745 g. when 5 ml of distilled water are measured in it, the combined weight of graduate and water is 47.675 g. by definition, 5 ml of water should weigh 5 g. calculate the weight of the measured water and express any deviation from 5 g as a percentage of error.

The measured weight of the water = 4.93 g

The percentage error in measured value = 1.4%

Step-by-step explanation:

Given:

Weight of the 10-mL graduate = 42.745 g

Combined weight of graduate and 5 mL water = 47.675 g

5 mL of water should weight = 5 g

thus, actual value of 5 mL water = 5 g

Now,

The measured weight of the water

= (Combined weight of graduate + 5 mL water) - Weight of the 10-mL graduate

= 47.675 g - 42.745 g

= 4.93 g

The percentage error in measured value

=

=

or

= 1.4%

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13