A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.


Which describes the motion of the box based on the resulting free-body diagram?

A. It is moving up with a net force of 20 N.

B. It is moving to the right with a net force of 10 N.

C. It is in dynamic equilibrium with a net force of 0 N.

D. It is in static equilibrium with a net force of 0 N.

Answer:

yes

Step-by-step explanation:

Each value of x multiplied by 4 gives the corresponding value of y, that is

3 × 4 = 12

5 × 4 = 20

6 × 4 = 24

9 × 4 = 36

Thus x and y are proportional and the constant of proportion is 4

The required first 3 terms of the sequence are 6, 2. -2.

Given that,
Then nth term of a sequence is 10-4n list the first 3 terms​ is to be determined.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
Nth term = 10 - 4n
For the first term, put n = 1
1 st term = 10 - 4 = 6
For the second term put n = 2
2nd = 10 - 8 = 2
For the third term put n = 3
3rd = 10 - 12 = -2

Thus, the required first 3 terms of the sequence are 6, 2. -2.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
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Answer: length=27, width 9

Step-by-step explanation: To solve this problem, you should set up an equation. The length is 3x, and the width is x. To find the perimeter of a triangle, you do length times two + width times two. So 6x+2x=72. 8x=72, x=9. Length is 27, width is 9.

Answer:

Length: 27cm

Width: 9cm

Step-by-step explanation:

Since the length of the rectangle is 3 times the width, we can assume the    width=x and the length=3x.

      P=72cm

     Perimeter= 3x+3x+x+x

Set the 2 equations equal to each other

   72=3x+3x+x+x

Solve for x

   72=8x

   9=x

Length=3x

   Length=9(3)

   Length=27

Width=x

   Width=9

Answer:

z = -1

Step-by-step explanation:

3(z + 5) = 12

Step 1: Divide both sides by 3.

z + 5 = 4

Step 2: Subtract 5 from both sides.

z = -1

Answer:

Step-by-step explanation:

One third

The centroid of a triangle divides each median.

The shorter segment is 1/3 and the length of the entire segment is 1

The centroid of a triangle divides the median in the following ratio

[tex]\mathbf{Ratio = 2 : 1}[/tex]

The fraction of the shorter segment is:

[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]

[tex]\mathbf{Short = \frac{1}{3}}[/tex]

Hence, the shorter segment is 1/3, while the entire segment is 1.

Read more about centroids at:

https://brainly.com/question/11891965

Answer:

15/32

Step-by-step explanation:

First convert 1 1/3 to improper fraction:

  1 1/3 = 4/3

5/8 divided by 4/3 is same as...

  [tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]

-1/4 or -0.24 because you subtract x to get it away from the y ... y = mx + b (this is the forumla you try to get it at) .... then you divide by four and that will leave you with -1/4 ... complete formula answer y = -1/4x + 7

Answer:

tan 68 degrees = b/60

60 * tan 68 degrees = b

b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths

Step-by-step explanation:

Hope it helps!

Answer:

tan 68 degrees = b/60

60 * tan 68 degrees = b

b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths

  . Step-by-step explanation:

Hope it helps!

Answer:

y=-2/3x-6

Step-by-step explanation:

y=mx+b

m=-2/3

y-y=m(x-x1)

y-(-1)=-2/3(x-(-6))

y+1=-2/3x-4

-1 -1

y=-2/3x-5

Answer:

[tex]y=-\frac{2}{3}x -5[/tex]

Step-by-step explanation:

Slope-intercept form:

[tex]y=mx+b\\\\y=(slope)x+(y-intercept)[/tex]

When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:

[tex]y=-\frac{2}{3} x+b[/tex]

Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:

[tex](-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b[/tex]

Simplify multiplication using the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex] :

[tex]-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b[/tex]

Use inverse operations to isolate the variable. Subtract 4 from both sides:

[tex]-1-4=4-4+b\\\\-5=b[/tex]

The y-intercept is -5. Insert:

[tex]y=-\frac{2}{3}x -5[/tex]

:Done

Answer:

y = 3.91 when x =7

Step-by-step explanation:

y = k / x⁴

Where,

k = constant of proportionality

y=15 when x=5

y = k / x⁴

15 = k / 5⁴

Cross product

15 × 5⁴ = k

15 × 625 = k

9,375 = k

What is y when x=7?

y = k / x⁴

= 9,375 / 7⁴

= 9,375 / 2401

= 3.9046230737192

Approximately

y = 3.91

Answer:

Step-by-step explanation:

18). Graph represent a function

19). Graph does not represent a function

Answer:

[tex]38.4\ \text{units of fuel/mile}[/tex]

10

Step-by-step explanation:

Let [tex]N[/tex] represent the number of rail cars on the train

Each rail car adds 2.2 units of fuel per mile.

Fixed fuel consumption is 12 units of fuel per mile

The function of fuel consumption per mile is

[tex]f(N)=12+2.2 N[/tex]

when

[tex]N=12[/tex]

[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]

[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]

[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]

So, the number of rail cars when [tex]f(N)=34[/tex] is 10.

Answer:

340 cars on her wall

( Brainlyst will help my rank, thanks! <3 )

Answer:

-273

Step-by-step explanation:

222- (99*5)

222-495

-273

Answer:

-273

(next time if their is options maybe also try and put them, it would help a lot)

Answer:

[tex] x = 18 [/tex]

[tex] y = 7.5 [/tex]

[tex] z = 7 [/tex]

Step-by-step explanation:

✍️[tex] (8x - 7) + (3x - 11) = 180 [/tex] (consecutive interior angles are supplementary)

Solve for x

[tex] 8x - 7 + 3x - 11 = 180 [/tex]

Add like terms

[tex] 11x - 18 = 180 [/tex]

Add 18 to both sides

[tex] 11x = 180 + 18 [/tex]

[tex] 11x = 198 [/tex]

Divide both sides by 11

✅[tex] x = 18 [/tex]

✍️[tex] (2y + 23) = (4y + 8) [/tex] (alternate interior angles are congruent)

Solve for y

[tex] 2y + 23 = 4y + 8 [/tex]

Collect like terms

[tex] 23 - 8 = 4y - 2y [/tex]

[tex] 15 = 2y [/tex]

Divide both sides by 2

✅y = 7.5

✍️[tex] (2y + 23) + (3z^2 - 5) = 180 [/tex] (linear pair angles)

Plug in the value of y

[tex] (2(7.5) + 23) + (3z^2 - 5) = 180 [/tex]

[tex] (15 + 23) + (3z^2 - 5) = 180 [/tex]

[tex] 38 + 3z^2 - 5 = 180 [/tex]

Add like terms

[tex] 3z^2 + 33 = 180 [/tex]

Subtract 33 from each side

[tex] 3z^2 = 180 - 33 [/tex]

[tex] 3z^2 = 147 [/tex]

Divide both sides by 3

[tex] z^2 = \frac{147}{3} [/tex]

[tex] z^2 = 49 [/tex]

Square both sides

[tex] \sqrt{z^2} = \sqrt{49} [/tex]

[tex] z = 7 [/tex]

Answer:

52

Step-by-step explanation:

I take it that x is somewhere near the end of the diagonal line, so you want to know the value of 3x + 1???

We know that (3x + 1) + (2x + 4) = 90 degrees. That's because AEF = 90 degrees.

So begin by removing the brackets.

3x + 1 + 2x + 4 = 90                 Combine the like terms.

5x + 5 =90                               Subtract 5 from both sides.

5x + 5 - 5 = 90 - 5                   Combine  

5x = 85                                    Divide by 5

x = 17

3x + 1  = 3*17 + 1 = 51 + 1 = 52

Answer:

Step-by-step explanation:

What is the average of a set of numbers?

An average is a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.

Given

September, $28.95;

October, $46.15;

November, $68.46;

December, $109.34;

January, $115.26;

February, $94.19;

March $75.66;

April, $51.97; and

May, $49.16.

Step two:

Total amount= 28.95+46.15+68.46+109.34+115.26+94.19+75.66+51.97+49.16= 639.14

Total number of monts= 9

Average= 639.14/9

Average= $71.01

Answer:

Your slope would be 2.

Step-by-step explanation:

To find the slope, you would need to use the formula: y2-y1/x2-x1

In this case, the equation would be 8-(-8)/2-(-6)

8 - (-8) = 16

2 - (-6) = 8

16/8 = 2

Slope: 2

Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.

Step-by-step explanation:

Answer:

Randy is 48 years old

Sandy is 12 years old

Todd is 27 years old

Step-by-step explanation:

Given

Represent their ages with the first letters of their names:

[tex]R + S + T = 87[/tex]

[tex]R = 4 * S[/tex]

[tex]T = 15 + S[/tex]

Required

Determine their individual ages

We'll solve the above equations using substitution method of simultaneous equations

Substitute 15 + S for T and 4 * S for R in [tex]R + S + T = 87[/tex]

This gives:

[tex]4 * S + S + 15 + S = 87[/tex]

[tex]4 S + S + 15 + S = 87[/tex]

Collect Like Terms

[tex]4 S + S + S = 87 - 15[/tex]

[tex]6S = 72[/tex]

Divide through by 6

[tex]S = 72/6[/tex]

[tex]S = 12[/tex]

This implies that Sandy is 12 years old

Substitute 12 for S in [tex]R = 4 * S[/tex] and  [tex]T = 15 + S[/tex]

[tex]R = 4 * 12[/tex]

[tex]R = 48[/tex]

[tex]T = 15 + 12[/tex]

[tex]T = 27[/tex]

This implies that Randy is 48 years old and Todd is 27

Answer:

There is no solution because they are not equal

Step-by-step explanation:

3(x + 4) = 3(x - 5) cannot simply happen, as they are not equal.

Hope this helps!

Answer:

And, then what? rp?

Step-by-step explanation:

Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.

Answer:

3

Step-by-step explanation:

(4p-m)/4

m=-4 and p=2

Since you know what m and p represent, it shouldn't be hard to solve.

(4 [2] - [-4] )/4   The 4 would be positive since there are two negatives.

(8 + 4)/4 Do the work inside the parenthesis first...

(12)/4 now divide.

Answer:

I hope this helps

Step-by-step explanation:

plz mark brainliest

Answer:

18.75 feet

Step-by-step explanation:

Step 1

we find the length of Philip's rectangular deck in yards

The ratio of the width to the length is 4 to 5.

Philip's rectangular deck is 5 yards wide.

Hence,

Hence:

4/5 = 5/x

Cross Multiply

4x = 5 × 5

4x = 25

x = 25/4

x = 6.25 yards

The length of Philip's field = 6.25 yards

Hint: 1 yard = 3 feet.

Converting the yard to feet

1 yard = 3 feet

6.25 yards = x

Cross Multiply

x = 6.25 × 3 feet

x = 18.75 feet

Therefore, the length of Philip's field in feet = 18.75 feet

Answer:

Step-by-step explanation:

n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.

m is neither.

p is parallel to the given line. For example y = 2/5x

and y = 2/5 x + 9  are parallel to each other.

Answer:

Step-by-step explanation:

Given:

AB ≅ AD

AC ⊥ BD

To Prove:

ΔBAE ≅ ΔDAE      

                 Statements                        Reasons

1). AB ≅ AD and AC ⊥ BD             1). Given

2). AE ≅ AE                                   2). Reflexive property

3). ΔBAE ≅ ΔDAE                         3). HL postulate of congruence

Answer:

Step-by-step explanation:

This is just an improper fraction when done.

numerator: 50*4 + 1 = 200 + 1 = 201

denominator: 4

Answer: 201/4

Answer:

The x intercept is (4,0) and the y intercept is (0,-7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The x-intercept of a line is when the y-coordinate is 0. To find that point on this line, we first want to rearrange the equation into the form

[tex]y = mx + b[/tex]

we are given

[tex]14x - 8y = 56\\so, \\14x - 56 = 8y\\\frac{14x}{8} - \frac{56}{8} = \frac{8y}{8} \\y = \frac{7}{4}(x) - 7[/tex]

now, we can set y to 0 and solve

[tex]\frac{7}{4}(x) = 7\\7x = 28\\x = 4[/tex]

The x-intercept is (4, 0)

Answer:

I think it's 80 I'm sorry if I'm wrong

Answer:

the person above is incorrect I think it may or may not be 75