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3 years ago

What is the net force on this object? 0 newtons 8 newtons 22 newtons 36 newtons

Mathematics

2 answers:

hodyreva [135]3 years ago

3 0

Answer:

8 Newtons

Step-by-step explanation:

Friction and Gravity are both known to be negative forces such as -20 and -14

So doing the math

22 + 20 = 42

42 - 20 = 22

22 - 14 = 8

8 is your answer, hope this helped!

astraxan [27]3 years ago

3 0

Answer:

8 N to the right.

Step-by-step explanation:

Resolving vertical forces

upwards = 20 N, down = 20 N

- so the Net Force = 0.

Resolving horizontally :

Net force = 22 - 14 = 8 Newtons.

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The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read

Firlakuza [10]

Answer:

The mean and standard deviation changed to 23.5 and 14.62 respectively, based on all 12 samples.

Step-by-step explanation:

We are given that the Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors, per 1,000 scans each.

Representing the data in tabular form;

X $X - \bar X$ $(X - \bar X)^{2}$

36 36 - 20.5 = 15.5 240.25

14 14 - 20.5 = -6.5 42.25

21 21 - 20.5 = 0.5 0.25

39 39 - 20.5 = 18.5 342.25

11 11 - 20.5 = -9.5 90.25

2 2 - 20.5 = -18.5 342.25

Total 1057.5

Now, the mean of these value is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{36+14+21+39+11+2}{6}$

= $\frac{123}{6}$ = 20.5

Standard deviation formula for discrete distribution is given by;

Standard deviation, $\sigma$ = $\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{1057.5 }{6-1} }$ = 14.54

Now, the manager has six more samples taken:

33, 45, 34, 17, 1, and 29 errors, per 1,000 scans each

So, the modified table would be;

X $X - \bar X$ $(X - \bar X)^{2}$

36 36 - 23.5 = 12.5 156.25

14 14 - 23.5 = -9.5 90.25

21 21 - 23.5 = -2.5 6.25

39 39 - 23.5 = 15.5 240.25

11 11 - 23.5 = -12.5 156.25

2 2 - 23.5 = -21.5 462.25

33 33 - 23.5 = 9.5 90.25

45 45 - 23.5 = 21.5 462.25

34 34 - 23.5 = 10.5 110.25

17 17 - 23.5 = -6.5 42.25

1 1 - 23.5 = -22.5 506.25

29 29 - 23.5 = 5.5 30.25

Total 2353

Now, the mean of these value is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{36+14+21+39+11+2+33+45+34+17+1+29}{12}$

= $\frac{282}{12}$ = 23.5

Standard deviation formula for discrete distribution is given by;

Standard deviation, $\sigma$ = $\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{2353 }{12-1} }$ = 14.62

7 0

3 years ago

What value of b will make the expressions −12.8x+b and −3.2(4x−2.1)+2.4 equivalent?

telo118 [61]

$- 12.8x + b = - 3.2(4x - 2.1) + 2.4$

Distribute -3.2 through the parentheses

$- 12.8x + b = - 12.8x + 6.72 + 2.4$

Cancel equal terms on both sides of the equation

$b = 6.72 + 2.4$

Add the decimals

$b = 9.12$

Thus, The expression are equivalent at b = 9.12...~

3 0

3 years ago

Which undefined geometric term can be described as a one dimensional set of points that has no beginning or end ?

Hunter-Best [27]

Answer:

A LINE

A line is the undefined geometric term can be described as a one-dimensional set of points that has no beginning or end.

hope this helps

5 0

3 years ago

For tax purposes, a car rental company assumes each car in their fleet depreciates by 6% per year. If the initial value of a car

n200080 [17]

The value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent $\rm y = a^x$

where a is a constant and a>1

We can solve this problem by exponential function:

The word depreciate means the price is decreasing.

We can find the value be when the car is 10 years old:

p = 38800(1 - 0.06)¹⁰

p = 38800(0.94)¹⁰

p = 20898.266 ≈ $20898.27

Thus, the value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

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6 0

2 years ago

Help picture below problem 16

Allisa [31]

Answer:

Step-by-step explanation:

a²+b²=c²

In this case c is 13 and b is 12

a²+12²=13³

a²+144=169

Subtract 169 and 144 to find a

169-144=25

The square root of 25 is 5

5 0

3 years ago