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2 years ago

Which direction will the box move in the diagram below?

Mathematics

2 answers:

Hitman42 [59]2 years ago

8 0

<h3>Answer: B) It will move to the right</h3>

Explanation:

We have 5 newtons of force pushing to the right, and 3 newtons of force pushing to the left. We can place the positive direction on the right hand side and the negative direction on the left.

This means we can think of "3 newtons of force to the left" as the integer -3

That way we can then add 5 to -3 getting 5+(-3) = 2. The result is positive, meaning the net force is pushing to the right. Specifically, 2 newtons of force are pushing to the right.

It's like saying there are 5 people pushing to the right and 3 pushing to the left. From each side, 3 people will pair up and they'll cancel each other out. The 2 extra people pushing right will ultimately win out.

FromTheMoon [43]2 years ago

4 0

Answer:

B.it will move to the right.

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Help I need it now!! T14= 46, and t20= 100, find t3, t7, and tn

Vinil7 [7]

Answer:

$t_3 = -53\\\\\\t_7 = -17\\t_n= -80 +9n$

Step-by-step explanation:

Arithmetic sequence:

$\sf \boxed{t_n=a+(n-1)d}$

Here a is the first term and d is the common difference.

$t_{14}= 6$ ⇒ $\sf a + 13 d = 46$ ------------(I)

$\sf t_{20} = 100$ ⇒ a + 19d = 100 ---------(II)

Subtract equation (I) from (II)

(I1) a + 19d = 100

(II) a + 13d = 46

- - -

6d = 54

d = 54 ÷ 6

$\sf \boxed{d = 9}$

Substitute d = 9 in equation(I) and find 'a',

a + 13*9= 46

a + 117 = 46

a = 46 - 117

a = -71

$\sf t_3 = -71 + 2*9$

= -71 + 18

= -53

$\sf t_7 = -71 + 6*9$

= -71 + 54

= -17

$\sf t_n= -71 + (n-1)*9$

= -71 + 9*n - 1 *9

= -71 + 9n - 9

= -71 - 9 + 9n

= - 80 + 9n

5 0

1 year ago

How to set up a system of equations

Scorpion4ik [409]

To set up your system of equations is to have 2 equations. They both would have 1 similar variable. For example, Jenny is 5 more her brother's age. She is also 2 more than twice her brother's age. You would set this up as Y, which is Jenny, and X, her brother. Y = 5 + x and Y = 2x + 2. Make sure you put Y in the same spot in both equations. Then take the other half of the equations and simplify them. 5 + x = 2x + 2. Subtract x from both sides to get 5 = x + 2. Subtract 2 from both sides to get 3 = x. Now replace the X from both equations to get Y = 5+3, and Y = 2(3) + 2. You will see both add up to 8, which is how old Jenny is in this example. Hope this helped!

4 0

3 years ago

Simplify 5(x+3) -9x+4

laiz [17]

Answer:

$=5x+15-9x+4\\=-4x+19\\$

5 0

2 years ago

Read 2 more answers

In order to test for the significance of a regression model involving 5 independent variables and 123 observations, the numerato

allochka39001 [22]

Answer: The numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .

Step-by-step explanation:

We know that , for critical value of F, degrees of freedom for numerator = k-1

and for denominator = n-k, where n= Total observations and k = number of independent variables.

Here, Numbers of independent variables(k) = 5

Total observations (n)= 123

So, Degrees of freedom for numerator = 5-1=4

Degrees of freedom for denominator =123-5= 118

Hence, the numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .

5 0

3 years ago

the maximum distance D in kilometers that you can see from a height H in meters is given by the formula d equals 3.5 times the s

Irina-Kira [14]

First put the words in an algebraic format or a model. D = 3.5(√H). Now determine what the question is asking. It's height. Plug in the value of D. Distance is 35 km.
35 = 3.5(√H) We want to get H by itself. First thing to get away from it is 3.5. So divide 35 by 3.5 And 3.5(√h) by 3.5.
10 = √H To get rid of √ do the opposite raise to the power of 2
10² = (√H)²
100 = H
You must be 100 kilometers above ground to see 35 kilometers

7 0

3 years ago