Answer:
B: distinct parallel lines
Step-by-step explanation:
A bag weighing 80 N rests on a horizontal surface. The coefficient of static friction between the bag and the surface is 0.4, and the coefficient of kinetic friction is 0.2. What minimum horizontal force must be applied to keep the bag moving at constant velocity once it has started to move?
Answer:
The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.
Step-by-step explanation:
According to the First and Second Newton's Laws, an object has net force of zero when it is at rest or moves at constant velocity. Given that bag rests on a horizontal surface, the equation of equilibrium is:
[tex]\Sigma F = P - f = 0[/tex] (Eq. 1)
Where:
[tex]P[/tex] - Horizontal force exerted on the bag, measured in newtons.
[tex]f[/tex] - Kinetic friction force, mesured in newtons.
From (Eq. 1), we get that horizontal force is:
[tex]P = f[/tex]
On the case of a horizontal surface, normal force exerted from ground on the bag and kinetic friction force is:
[tex]f = \mu_{k}\cdot W[/tex] (Eq. 2)
Where:
[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.
[tex]W[/tex] - Weight of the bag, measured in newtons.
Then we eliminate kinetic friction force by equalizing (Eqs. 1, 2):
[tex]P = \mu_{k}\cdot W[/tex]
If we know that [tex]\mu_{k} = 0.2[/tex] and [tex]W = 80\,N[/tex], then the horizontal force that must be applied to is:
[tex]P =0.2\cdot (80\,N)[/tex]
[tex]P = 16\,N[/tex]
The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.
Multiply. Enter the product in simplest form.
2/7 x 4/5
0.05 is 1/10 value of what number
Answer:
1/2=x
0.5
Step-by-step explanation:
x will be the number
5/100=(1/10)x
5/10=x
1/2=x
1/2=0.5
what's 4 divided by 5 as a fraction
Answer:
four fifths because if you divided 4 by 5 is 0.8 and that equals four fifths
Find the equation of the line.
Y=__x + __
Could someone show me how to do this?
Step-by-step explanation:
b - no:of students on bus
V - " " on van
so the eqtn is
12v+10b=698
14v+2b=244
so when you solve these two eqtns you get
V=9
b=59
not really an academic subject lol just a stoopid inquiry
.
.
does anyone else stay up super late even if they're tired? like you haven't "completed" your day yet. just me?... TT_TT pls help
(my sleep schedule is very messed up) :,)
Answer:
Yes me too! Except I watch movies because I have a feeling they won't be there tomorrow lol
Step-by-step explanation:
are the terms 2x^3 and 2yx^2 like terms
Mr. Garcia wants to leave a 15% tip to his server at Applebee's. If his total was $75, how much would his total be including the tip? *
$11.25
$90.00
$86.25
$75.15
What is the slope line through (0,4) and (3,2)?
Answer:
The answer is -2/Trust
Step-by-step explanation:
Answer:
Its D 100%
Step-by-step explanation:
expand (2a +36) (2a-3b
How do I solve |x-1|-1.4 = 6.2
Answer:
x1= -6.6 x2= 8.6
Step-by-step explanation:
Answer:
x1= -6.6, x2= 8.6
Step-by-step explanation:
|x-1|-1.4=6.2
|x-1|=6.2+1.4
|x-1|= 7.6
x-1=7.6 or x-1= -7.6
x= 8.6 and x= -6.6
Which inequality matches the graph shown?
Answer:
I am pretty sure it is x>8 which is B.
Step-by-step explanation:
Find the standard form for the equation of the line which
passes through the point (9,-46) and which has a
y-intercept of – 1.
Answer: Well I believe the answer is Y= x - 55
Step-by-step explanation:Hope that works :)
Given m 1= 65, find the measure of each missing angle.Givd your reasoning
Answer:
Step-by-step explanation:
Given:
m∠1 = 65°
Since. ∠1 and ∠2 are the angles of linear pair,
m∠1 + m∠2 = 180°
65° + m∠2 = 180°
m∠2 = 115°
m∠1 = m∠3 [Vertical angles]
m∠3 = 115°
Since, ∠1 and ∠4 is the linear pair of angles,
m∠1 + m∠4 = 180°
65° + m∠4 = 180°
m∠4 = 180 - 65 = 115°
m∠4 + m∠5 = 180° [Consecutive interior angles between the parallel lines]
115° + m∠5 = 180°
m∠5 = 180° - 115° = 65°
m∠5 + m∠6 = 180° [Linear pair of angles]
65° + m∠6 = 180°
m∠6 = 115°
m∠5 = m∠7 [Vertical angles]
m∠5 = m∠7 = 65°
m∠6 = m∠8 [Vertical angles]
m∠6 = m∠8 = 115°
A speedboat, at full throttle, can go 65.0 miles in 1.5 hours. What is the average speed of the boat?
Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
D) 6
Answer:
x = 6
Step-by-step explanation:
4 − 2(2x − 7) = −6.
Distribute
4 -4x +14 = -6
Combine like terms
18-4x = -6
Subtract 18 from each side
18 -4x-18 = -6-18
-4x = -24
Divide each side by -4
-4x/-4 = -24/-4
x = 6
A department store buys 200 shirts at a cost of $1,600 and sells them at a selling price of $10
each, Find the percent markup.
1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *
Answer:
$105.22
Step-by-step explanation:
The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
Find the test score of the student who joined the class.
Test score =
Answer:
test score of new student = 43
Step-by-step explanation:
28 x 72 = 2016 (total points class scored)
29 x 71 = 2059 (total points class scored after student joined)
2059 - 2016 = 43
The test score of the student who joined the class is 43.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
We have to find the test score of the student who joined the class.
28 x 72 = 2016
29 x 71 = 2059 (total points class scored after student joined)
The difference between 2016 and 2059 is the test score of new student.
2059 - 2016 = 43
Hence, the test score of the student who joined the class is 43.
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ2
plz plz plz help me quick i got 10 mins
Answer:
y=x+6
Step-by-step explanation:
is 9/36 greater than 8/1
Answer:
No it's not
Step-by-step explanation:
The reason is because 8/1 becomes a whole number unlike the other.
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50) State the equation of a line that is perpendicular to 4x – 2y = 12 and passes through the point (-4,-3).
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Answer:
x+2y=-8
Step-by-step explanation:
Slope of given line = 2
Slope of the perpendicular line = -1/2
Equation of perpendicular line is (y-y1)=m(x-x1)
y-(-3)=-1/2(x-(-4))
y+3=-1/2(x+4)
2y+6=-x-2
x+2y=-8
b) Simplify the expression (V7 + 3) square 2
Answer:
[tex]49v^{2} +42v+9[/tex]
Step-by-step explanation:
First, let me say, I'm not sure what exactly the equation is because it's worded weirdly, but I'm assuming it's [tex](7v+3)^{2}[/tex].
(7v+3)(7v+3) [[tex]7v+3^{2}[/tex] is the same as (7v+3)(7v+3).]
[tex]49v^{2} +42v+9[/tex] [When you multiply them, this is the product.]
This is as far as you can simplify without knowing the value of v as far as I know.
Simplifying Expressions ,
Solve proportion 2/4.5=t/0.5
0.2 or 2/9 in fraction form I believe.
Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy's descent as a unit rate? Express your answer as an integer. Enter your answer in the box. feet per minute Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes? feet
Answer:
A. 4 feet per minute
B. 24 feet
Step-by-step explanation:
Given that: distance = 10 feet
time = 2 1/2 minutes = 2.5 minutes
A. The descent rate is the speed with which an object descends with respect to a reference point or plane.
Speed is the rate of the distance moved to time taken.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{10}{2.5}[/tex]
= 4 feet/minute
Andy's descent is 4 feet/minute.
B. If he continues at this rate, his distance in relation to sea level after 6 minutes would be;
speed = [tex]\frac{distance}{time}[/tex]
4 = [tex]\frac{distance}{6}[/tex]
distance = 4 x 6
= 24 feet
Thus, Andy would be at 24 feet in relation to sea level after 6 minutes.
Elena finds that the area of a house on a scale drawing is 25 square inches. The actual area of the house is 2,025 square feet. What is the scale of the drawing?
Answer:
81 sq. inches
Step-by-step explanation:
Since they are asking for the scale of her drawing,
you have to divide the actual area of the house
by the area of the house on a scale drawing.
You only divide if they ask for the scale of the
drawing.
also
You only multiply if they ask for the scale of the
actual model.
XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.
Answer:
29° and 58°
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus
∠ ZXY = ∠ WXY = 29°
∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°
Mr. Lowell has one of the most impressive antique toy collections in the United States, and he plans to distribute all 34,083 toys in his collection evenly to 21 different museums. How many toys will each museum get?