Decompose the forces into components that are parallel or perpendicular to the plane. Then the fricitional force (magnitude f ) is only included in the net force parallel to the surface. The other two are the parallel components of the box's weight (mag. w ) and the pulling force (mag. p)
The box is moving at constant speed, so there is no acceleration and the box is in equilibrium. By Newton's second law,
∑ F = p cos(20º) - w sin(30º) - f = 0
We're given p = 75 N, and
w = m g = (25 kg) (9.80 m/s²)
so
f = (75 N) cos(20º) - (25 kg) (9.80 m/s²) sin(30º)
f ≈ -52 N
That the magnitude is negative makes me think there's a mistake in the question.
Guys I will mark brainliest if you get this right
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{7}{8} - \frac{2}{3}}{\frac{5}{6}}\\\frac{7}{8}=\frac{21}{24}\\\frac{2}{3}=\frac{16}{24}\\\frac{21}{24}-\frac{16}{24}=\frac{5}{24}\\\frac{5}{24}*\frac{6}{5}=\frac{1}{4}[/tex]
HELP PLEASE I BEG U
A motorcycle rental agency uses the formula shown to calculate the price to rent a motorcycle for one day, where P is the price, and m is the number of miles driven
P(m) = 45 +0.15m
The domain of this equation is m >0. Why is this the case?
A The number of miles driven will always be greater than or equal to zero and cannot be less than zero.
B.The price to rent the motorcycle will always be greater than or equal to zero.
C.The domain of any linear function with a decimal slope is never zero.
D.This is incorrect. The domain of any linear function is all real numbers and is not dependent on context.
9514 1404 393
Answer:
A The number of miles driven will always be greater than or equal to zero and cannot be less than zero.
Step-by-step explanation:
The domain of a function such as this is the set of values that realistically may be given as input to the function. We know of no way to ride a motorcycle a negative number of miles, so the domain must be non-negative numbers.
__
In real life, the domain is likely non-negative integers.
A line has a slope of - 3 and passes through the point (-3, 8). What is the equation of the line?
A. Y=-2/3x+6
B. Y=-2/3x+8
C. Y=6x-2/3
D. Y=8x-2/3
Answer:
y = -3x-1
Step-by-step explanation:
Point-slope equation of a line
y-y1=m(x-x1)
(x1,y1) are coordinates of a point in the line = (-3,8)
m is the slope of the line = -3
Fill in what you know and move constants to get y by itself (y=mx + b ... slope-intercept equation)
y-8=-3(x+3)
y-8=-3x-9
+8 +8
y = -3x-1
None of the options are correct
Business math pls help
Martinez bought 8 3/4 yd of fabric. She wants to make a skirt using 1 7/8 yd, pants using 2 3/8, and a vest using 1 2/3 yd. how much fabric will be left over?
Please help ASAP!!! :(
Answer:
The fabric left over will be [tex]2\frac{5}{6}[/tex]
Step-by-step explanation:
Total fabric bought= [tex]8\frac{3}{4} \ yd[/tex]
Fabric used for skirt = [tex]1\frac{7}{8} \ yd[/tex]
Fabric used for pants = [tex]2\frac{3}{8} \ yd[/tex]
Fabric used for vest = [tex]1\frac{2}{3} \ yd[/tex]
Total fabric used = Fabric used for skirt+Fabric used for pants+Fabric used for vest
Total fabric used=[tex]1\frac{7}{8}+2\frac{3}{8}+1\frac{2}{3}[/tex]
[tex]=\frac{15}{8}+\frac{19}{8}+\frac{5}{3}\\=\frac{15*3+19*3+5*8}{24}\\=\frac{45+57+40}{24}\\=\frac{142}{24} \\=\frac{71}{12}[/tex]
So, Total fabric used = [tex]\frac{71}{12}[/tex]
Total Fabric left= Total fabric bought-Total fabric used
Total Fabric left=[tex]8\frac{3}{4}-\frac{71}{12}[/tex]
[tex]=\frac{35}{4}-\frac{71}{12}\\=\frac{35*3-71}{12} \\=\frac{105-71}{12}\\=\frac{34}{12}\\=\frac{17}{6}\\=2\frac{5}{6}[/tex]
So, the fabric left over will be [tex]2\frac{5}{6}[/tex]
The formula for calculating simple interest, I, is I = prt where p is the principle, r is the rate and t is the time. Solve for p.
1. I - rt
2. I + rt
3. I/rt
4. rt/I
The solution of the formula for p is p = I/ rt which is divided by the principle p times r. which is the correct answer would be an option (C)
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
Given that the formula as:
⇒ I = prt
where I = Interest, P = principal,
R = rate and T = time is used to calculate the amount of simple interest earned.
⇒ I = prt
After getting P on one side, you must divide rt to get the letter p by itself.
⇒ I = prt
⇒ p = I/ rt
Hence, the correct answer would be option (C)
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ2
Write an equation for the line in the given form.
slope is 5 and (-3, 2) is on the line; point-slope form=
Rewrite 2y = 6 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Answer:
y = 3
m = 0
b = (0, 3)
Step-by-step explanation:
To put it in slope intercept form, divide each side by 2:
2y = 6
y = 3
So, y = 3 is the equation in slope intercept form.
The slope is 0, since there is no x value in the equation.
The y-intercept is (0, 3) since the equation is just y = 3.
If a decimal is only in the ____, you can move it up into the quotient
Answer:
Divident
Step-by-step explanation:
HELP PLEASE!!!! It's overdue :(
1: y = 3x + 42
2: y = 3(40) + 42
y = 162
3: Bob put 657 in a bank account. He gained 2 times the amount per year. y = 2x + 657
Plz give brainliest.
Plzzzz Helppppp
What’s 26+5×1÷2 Explain Your Answer
Answer:
[tex]26 + 5 \times \frac{1}{2} \\ \\ = 26 + \frac{5}{2} \\ \\ = \frac{57}{2} [/tex]
Answer: 28.5
Step-by-step explanation: 26 + ((5*1) / 2 = 28.5. Knowledge.
CUZ THATS THE WAY I LIKE TO LIVE MY LIFE, AND I KNOW THAT EVERYTHINGS GONNA BE JUST FINE!!
Adam has joined a book club. The membership has an initial fee of $25.00 and each book rental costs $2.00. This table shows the linear relationship between the total cost, y, and the number of books Adam rents, x. Fill in each box to correctly model the relationship between x and y. Number of books rented, x 3 6 12 15 Total Cost, y $31.00 $ $43.00 $ $55.00
Answer:
Do you have a screenshot of the table? I’m struggling to visualise it with the data given.
Step-by-step explanation:
Answer:
$37.00 9 $49.00
Step-by-step explanation:
61 meters = _____ feet
I'LL GIVE BRAINLIEST!
Answer:
200.131234
Step-by-step explanation:
Please help me. What’s the answer ?
Answer:
D
Step-by-step explanation:
D
What fraction of this shape is shaded?
You must give your answer in its simplest form.
Type here
The fraction of the shape which is shaded in simplest form is 1/3.
The square in the diagram provided has a total of 12 boxes .
The number of shaded part is 4
To calculate the shaded fraction of the shape we have to use the formula:
Number of shaded part/ Total number of boxes present.
= 4/12
We can divide the numerator and denominator by 4 to get the simplest form.
= 1/3
The fraction of the shape which is shaded in simplest form is therefore
= 1/3.
Read more about Fraction here https://brainly.com/question/17743912
The rate of 225 mi in 7 hr written as a unit rate
Answer:
32.14 an hour
Step-by-step explanation:
Answer:
32.142857 miles per hour
Step-by-step explanation:
This is the answer because:
This is a fraction equal to
225 miles ÷ 7 hours
We want a unit rate where 1 is in the denominator, so we divide top and bottom by 7 .
225/7 = 225/7 and 7/7 = 32.142857/1
Therefore, the answer is 32.142857 miles per hour.
Hope this helps!
About 7% of the population has a particular genetic mutation. 400 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 400.
Answer:
5.10 people
Step-by-step explanation:
Calculation to Find the standard deviation for the number of people with the genetic mutation
Using this formula
Standard deviation = √ ( n * p * q)
Where,
n = 400
p = .07
q = 100%-7% = 93% or .93
Let plug in the formula
Standard deviation =√400*07*.93
Standard deviation =√26.04
Standard deviation = 5.10 people
Therefore the standard deviation for the number of people with the genetic mutation is 5.10 people.
What is the equation, in slope-intercept form, of the line
that is perpendicular to the given line and passes through
the point (2, -1)?
A)y = -1/3 x -1/3
B)y = -1/3 x -5/3
C)y = 3x - 3
D)y = 3x - 7
Answer:
My guess would be D.
Step-by-step explanation:
We can eliminate A and B right away considering the Slope of the first equation is already -1/3 and we need the slope to be opposite to be perpendicular. So right then It is either C or D. and with C It doesn't seem like the line intersecting the line above would be parallel so my guess is D.
Please explain as well how to do it. Thanks!
Answer:
The answer is B.
Step-by-step explanation:
Please refer to the attachment (ignore the horrible drawing, thank you).
Let the distance from P to T be red. The length of the red distance is x radians.
T’ is π-x. Thus, it is the red distance subtracted from the purple distance.
So, T’ is the reflection of T across the y-axis.
Therefore, we can simply multiply the x-coordinate of T to get T’.
T is (3/5, 4/5)
Then T’ must be (-3/5, 4/5).
Hence, our answer is B.
I need help answering. Thanks.
Answer:
28
Step-by-step explanation:
C or B's so 30% + 40% = 70% so:
70/100 multiplied by 40 because 40 students
7/10 times 40 = 28
can someone help me pls
Answer:use a calculator if you want since all you do is put in the calculator
Step-by-step explanation:
3/7 is 0.428571428
meanwhile 1/4 is 0.25...
which one do you think is bigger
3/7
so it is greater
The equation of line j is y= -6/7x +7.Line k is perpendicular to j.What is the slope of line k?
Simplify your answer and write it as a proper fraction,improper fraction,or integer.
Answer:
y=7/6x
Step-by-step explanation:
When given an equation and asked to find the equation of a perpendicular line that intersects it, you know that the slope is the slope of the equation is the negative recipricoal of the given equation. i.e. y=2x+2 and y=-1/2x+2. The y-intercept does not matter.
I hope you understood and that this helps!
can someone help me pls
there are 4 circles and 16 squares. What is the simplest ratio of circles to total shapes?
Last year Jeremy weighed 70 bounds this year he weights 84 pounds by what percent did Jeremy weights increase from last year to this year
12.
Question 19 (5 points)
2 - (-8) + (-3) =
15
OA) 1
18
B) 14
12
O
D) 7
Answer:
The answer is d because 10-3 is 7
Answer:
D)7
Step-by-step explanation:
2 - (-8) + (-3) =
10-3 =7
There were 130 faculty at a conference. If there were 18 more women than men attending, how many of each gender attended the conference?
Answer:
the number of men be 56
And, the number of women be 74
Step-by-step explanation:
The computation of the number of each genders attended the conference is shown below;
Let us assume the number of men be x
And, the number of women be y
Now the equations would be
x + y = 130 .............. (1)
And,
y = 18 + x ................ (2)
Now put the y value in the equation 1
x + 18 + x = 130
2x = 130 - 18
2x = 112
x = 56
Now the y is
= 18 + 56
= 74
So, the number of men be 56
And, the number of women be 74
2. Estados Unidos importa actualmente todo su café. La demanda anual de café por parte de los consumidores estadounidenses viene dada por la curva de demanda Q = 250 – 10P, donde Q es la cantidad (en millones de libras) y P es el precio de mercado por libra de café. Los productores mundiales pueden cosechar y enviar café a los distribuidores estadounidenses con un coste marginal (= medio) constante de 8 dólares por libra. Los distribuidores estadounidenses pueden distribuir a su vez el café a un precio constante de 2 dólares por libra. El mercado de café de Estados Unidos es competitivo. El Congreso está considerando la posibilidad de establecer un arancel sobre las importaciones de café de 2 dólares por libra.
a. Si no hay ningún arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
b. Si se establece el arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
c. Calcule la pérdida de excedente del consumidor.
d. Calcule los ingresos fiscales recaudados por el Estado.
e. ¿Genera el arancel una ganancia neta a la sociedad en su conjunto o una pérdida neta?
suma de fraccion 1/5 + 5/8
33/40
Step-by-step explanation:
you have to look for the lcm
1/5+5/8
8/40+25/40=33/40
First, write the fractions as decimals.
3
4
is
vand
11
1
2
IS
Next, plot the numbers on the number line.
The least number is
The greatest number is
The correct order from least to greatest is
Answer: d,d,a,,d,c,
Step-by-step explanation:
Answer:
ddadc
Step-by-step explanation: