Force is a vector quantity, and a force can be resolved into its components to get the effect of the force.
The responses are;
a) The force exerted by the first person towards the right is approximately 280.96 Newtons.b) To move the railroad car, the second person must exert a force of approximately 356.49 Newtons.Reasons:
a) The force with which the person is pulling the railroad car, F = 310 N
The vector force on the rope [tex]\vec {v}_{rope}[/tex] = 310 × cos(25°)·i + 310 × sin(25°)·j
Which gives;
[tex]\vec {v}_{rope}[/tex] = 280.96·i + 131.01·jThe component of the vector acting along the railroad, towards the right is the i component
Therefore, the force the person exerts toward the right while trying to move the car is approximately
280.96 Newtonsb) The direction of the rope of the second person, θ = 18°
The force required to get the railroad car moving = 620 N
The force the second person has to exert to the right is therefore;
F × cos(18°) = 620 - 310 × cos(25°)
Therefore;
[tex]\displaystyle F = \mathbf{\frac{620 - 310 \times cos(25^{\circ})}{ cos(18^{\circ})}} \approx 356.49[/tex]
The force the second person must exert in the given direction, is therefore;
F ≈ 356.49 NewtonsLearn more here:
https://brainly.com/question/24596114
How many DVDs would they each have if they continued the same pattern for ten ADDITIONAL weeks.
Answer:
Step-by-step explanation:
60 and 64 :)
Unit 11 Homework 1: Area of Plane Figures
Answer: 4. 432 cm^2/2 = 216 cm^2
6. 309.76 mm^2
8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2
484/2 = 242pi or 759.88 in^2.
10. 297.84 in^2/2 = 148.92 in^2
Step-by-step explanation:
To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.
A square is equal on all sides, so you would just square the measurement of the one side.
To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).
Answer: There’s nothing
Step-by-step explanation:
Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent)
Answer:
160%
Step-by-step explanation:
(65 - 25 )/25 x 100% = 160%
6. Alice is covering a foam cube with fabric to make a footstool. Each side of the cube is 20 inches. How
many square inches of fabric will she need?
120 in? of fabric
0 720 in.of fabric
1,200 in? of fabric
2,400 in 2 of fabric
what is the value of. view image
since the great drought left the soil completely useless, the people of that country were forced to______ food from other countries
A. export
B. import
C. report on
D. sell
What is the answer?
Answer:
B import food from other countries
Jeff bought 7 pounds of chocolate
and spent $889. How much is one
pound of chocolate?
Answer:
127
Step-by-step explanation:
A private lake sells boating memberships and currently has 600 members. During the application process the potential members are asked which recreational activity they do the most. Their choices are fishing, skiing, boarding, swimming, or tubing. The lake manager chooses clients according to their interests to maximize the use of all areas of the lake. Every month, the lake rangers randomly sample the boats on the lake and categorize them according to the activity they are doing. The lake manager performs a chi-square goodness-of-fit test using the following null hypothesis to see whether their samples differ significantly from what the original applications claim.
H0:pfish=0.26,pski=0.21,pboard=0.30,pswim=0.12,ptube=0.11
In order to meet the conditions for independence and large counts for a chi-square goodness-of-fit test, which of the following represents all possible sizes of the monthly samples?
a. n≥30
b. 30≤n≤50
c. 46≤n≤60
d. n≥46
e. n≤60
Answer:
46 ≤ n ≤ 60 ( C )
Step-by-step explanation:
using the given null hypothesis to check if the samples differ from originally values
given that: frequency ( f ) ≥ 5
N = 600
hence : n * 0.11 ≥ 5
therefore : n ≥ 45.45
next : also n / N ≤ 0. 10
therefore: n ≤ 0.1 * 600
therefore all possible sizes will lie between
46≤n≤60
The volume of the Moon is about 2.8 x 10^10 cubic kilometers. The volume of Earth is about 1.9 x 10^12 cubic kilometers. The number of Moons that can fit inside Earth can be found by dividing Earth's volume by the Moon's volume. About how many Moons can fit inside Earth?
Answer:
50 moons can fit inside Earth.
Step-by-step explanation:
The Volume of Earth is
1.09 × 10 ^12
cubic kilometres
The Volume of The Moon is
2.18 x 10^ 10
cubic kilometers
Hence the number of Moons that can fit in Earth is
Step-by-step explanation:
What is the probability of choosing an ace from a deck of cards? Type your answer as a fraction.
Answer:
Step-by-step explanation:
there are 52 cards in a deck, there are 4 aces. This would create a fraction of 4/52. (using the probaility set up of what I want over the total of everything). I hope this helps!
how many dvds does gene have after 15 weeks?
Answer:
75 DVDs
Step-by-step explanation:
Unit rate: 1/5
1 week
5 dvds
15*5= 75
he has 75 dvds after 15 weeks :)
Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - X+5 = 0
A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The roots of a quadratic equation can be found using the formula,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Given the quadratic equation 3x²-x+5 = 0. Comparing it with the general quadratic equation the value of a, b, and c will be 3, -1, and 5.
Now, if we substitute the values in the formula of the roots of the quadratic equation,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(5)}}{2(3)}\\\\[/tex]
x = (1±√-59)/6
x = (1+√-59)/6, (1-√-59)/6
Hence, the roots of the given quadratic equation are shown in options B and F.
Learn more about Quadratic Equations here:
https://brainly.com/question/2263981
#SPJ2
HELP PLS DUE NOW BRAINLIEST AND A THANKS
Answer:
D
Step-by-step explanation:
The researcher did no prediction or any (possible)
Hope this helps :)
If f(x) = –3x – 2, what is f(–5)?
Answer:
f(-5) = 13
Step-by-step explanation:
Substitute x with -5
f(-5) = -3 (-5) - 2
=> 15 - 2
=> 13
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong then I am incredibly sorry!
Suppose you roll a special 33 sided die. What is the probability that the number rolled is a one or a two?
Answer:
2/33
Step-by-step explanation:
Chance of rolling a 1 is 1/33, chance of rolling a 2 is also 1/33. so add the probabilities 1/33 + 1/33 =2/33
HELP PLEASEE HURRY PLEASE
Answer:
Here
Step-by-step explanation:
Find the area of the shaded region
Determine the volume of a sphere whose great circle has a circumference of 12.4π. Round to the hundredths.
Answer:
we have
circumference of sphere=12.4π
2πr=12.4π
r=12.4/2=6.2
now
volume of sphere=4/3×πr³=4/3×π×(6.2)³=161 is your answer [approximately]
he always gI've correct answer
someone answer this please
Answer:
b = 33m is the answer
Step-by-step explanation:
a = 44m
b = ?
c = 55m
According to the Pythagoras theorem,
a² + b² = c²
44² + b² = 55²
1936 + b² = 3025
b² = 3025 - 1936
b² = 1089
b = 33m
∴ b = 33m is the length of the missing leg.
Jane earns $2100 per month, plus a 3.5% commission on sales. If she has $42,000 in sales for December, what is her total salary for the month?
Answer:$3570
Step-by-step explanation:
42000x0.035=1470
2100+1470=3570
Write a fraction and a percent to represent the shaded portion of the model.
Fraction:
Percent:
Answer:
Fraction:[tex]\frac{5}{9}[/tex]
Percent: to the nearest percent 56% or 55.5555555556%
Step-by-step explanation:
There are nine total parts and 5 of those parts are shaded
You would divide 5 by 9 to get the percent then multiply it by 100
Answer:
5/9
or
45%
Step-by-step explanation:
You have 42 peaches and want to share them equally with 6 people. How many peaches will each person get? Please be sure to write your answer in a complete sentence.
Answer:
7
Step-by-step explanation:
I did the math on a calculator
Need some help :(
What is the speed of a jet plane that flies 8100 km in 9 hours?
A. 900 km/sec
B. 900 km/hr
C. 900 meters/sec
D. 900 km/hr/hr
I will give Brainliest !!
Answer:
::::::::::::::::
B. 900 km/h
Mopeds (small motorcycles with an engine capacity below 50 cm^3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.8 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped.
Required:
a. What is the probability that maximum speed is at most 49 km/h?
b. What is the probability that maximum speed is at least 48 km/h?
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?
Answer:
a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h
b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h
c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean value 46.8 km/h and standard deviation 1.75 km/h.
This means that [tex]\mu = 46.8, \sigma = 1.75[/tex]
a. What is the probability that maximum speed is at most 49 km/h?
This is the pvalue of Z when X = 49. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49 - 46.8}{1.75}[/tex]
[tex]Z = 1.26[/tex]
[tex]Z = 1.26[/tex] has a pvalue of 0.8962
1 - 0.8962 = 0.1038
0.1038 = 10.38% probability that maximum speed is at most 49 km/h.
b. What is the probability that maximum speed is at least 48 km/h?
This is 1 subtracted by the pvalue of Z when X = 48. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48 - 46.8}{1.75}[/tex]
[tex]Z = 0.69[/tex]
[tex]Z = 0.69[/tex] has a pvalue of 0.7549
1 - 0.7549 = 0.2451
0.2451 = 24.51% probability that maximum speed is at least 48 km/h.
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?
Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5
Z = 2.5 has a pvalue of 0.9938
Z = -2.5 has a pvalue of 0.0062
0.9938 - 0.0062 = 0.9876
0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations
Find the length of MP
Answer:
5x-6 = 2x+9
3x = 15
x = 5
Then
MP=38
Hope it helps you!
please help marking brainliest if it's correct and explain
Answer:
mean means average so I think i should have first add all the numbers then divide by the number of the numbers I think that's the method if you don't see it correct then it's alright but I believe it's correct.
If a fraction is equal to 2/9
and the sum of the numerator and denominator is 99, what is the fraction?
Answer:
18/81
Step-by-step explanation:
the current fraction adds up to 11 so to get 99 you would need to multiply both the numerator and the denominator by 9 to get a sum of 99
so 2 x 9 = 18 and 9 x 9 =81
so answer is 18/81
What is the inverse of the function f(x) = 2x
10?
Given that there are 5,280 feet in one mile, how many feet does this man
now run in one minute
Answer:
how fast is he running???
The base of a square prism has an area of 16 sq inches. The height of the prism is 6 inches. What is the Surface are of the square prism?
Answer:
96
Step-by-step explanation: because you need to multiply 16 and 6 and when you multiply them you will get 96
The surface area of 128 square inches.
What is surface area?The total surface area of a three-dimensional form is the sum of all the surfaces on each side.
Given the area of the base of the square prism is 16 inches. so each side of the base is 4 inches. and the height is given 6 inches.
hence, surface area of the given square prism = 2(area of base + 2 * area of one side)
area of one side = 4* 6 = 24
so, surface area of square prism = 2 (16 + 2 * 24) = 128 square inches
Therefore, 128 square inches is the surface area of the square prism.
Learn more about the Surface area here:
https://brainly.com/question/10026601
#SPJ2