a force of magnitude 10n is applied in the directions 3i-4j to displacement point of action from A to B of position vectors 2i+j,5i-2j respectively. Find the work done.
An object at point A moving to point B is displaced in the direction of
r = (5i - 2j) m - (2i + j) m = (3i - 3j) m
(I assume distance is measured in meters)
If the force is F = (10 N) (3i - 4j), then the work performed by F in the direction of r is
F • r = (10 N) (3i - 4j) • (3i - 3j) m = (10 N) (9 + 12) m = 210 J
Drag steps of the solution into order to solve for x in the equation 6(x-5) = 54
A. 6x – 30 = 54
B. 6x = 84
C. 6x = 24
D. x = 14
I need to figure out what order to put these in to get the answer I can only use three!
The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
A. 6x – 30 = 54 B. 6x = 84 D. x = 14Given the expression 6(x-5) = 54
Expand the expression in parenthesis using the distributive law;
6x - 6(5) = 54
6x - 30 = 54
Add 30 to both sides
6x - 30 + 30 = 54 + 30
6x = 84
Divide both sides by 6
6x/6 = 84/6
x = 14
Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
A. 6x – 30 = 54 B. 6x = 84 D. x = 14Learn more on equations here; https://brainly.com/question/2972832
What is the surface area of the rectangular prism below?
Answer:
is 736 units
Step-by-step explanation:
my explanation is that I got it wrong because of the answer above of me an the right answer was 736 not 706
The surface area of the rectangular prism below with height as 8 units, length as 19 units and breadth as 8 units is A) 736 square units.
The surface area of a rectangular prism is the total area of all the faces of the prism. The rectangular prism below has 6 faces, each of which is a rectangle.
The area of a rectangle is given by:
area = length * breadth
The surface area of the rectangular prism is then given by:
surface area = 2 * (length * breadth + breadth * height + height * length)
Plugging in the values for the length, breadth, and height, we get:
surface area = 2 * (19 * 8 + 8 * 8 + 19 * 8) = 2 * (152 + 64 + 152) = 2 * 368 = 736 square units
Therefore, the surface area of the rectangular prism is A) 736 square units.
Here is a breakdown of the surface area of each of the faces:
Front face: 19 * 8 = 152 square units
Back face: 19 * 8 = 152 square units
Top face: 8 * 8 = 64 square units
Bottom face: 8 * 8 = 64 square units
Left face: 19 * 8 = 152 square units
Right face: 19 * 8 = 152 square units
The total surface area is the sum of the areas of all 6 faces, which is 736 square units.
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Marcus has $15.00 to spend on fruit. He buys 3 mangoes and spends the rest of the money on grapes. The store charges $0.75 for each mango and $2.50 per pound for grapes. Which equation represents the number of pounds of grapes, x, Marcus bought and how many pounds of grapes did he buy?
Answer:
It equals to $13.25
Step-by-step explanation:
What is the equation of the line?
Answer: x=0
Step-by-step explanation:
The line has an undefined slope and has infinitely many solutions as it passes through the y-axis
Therefore the equation of the line is x=0
pleaseeee help me ………
Answer:
number 2
Step-by-step explanation:
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Explain whether the pairing is a function
$200 at 15.5% for 2 years
whats the remainder of 45 divied by 8
Answer:
5
Step-by-step explanation:
8*5=40
45-40=5
r would be 5
3х + 4y= 4
12х + 16y = 8
Answer:
No Solution.
Step-by-step explanation:
3x+4y=4
12x+16y=8
--------------
-4(3x+4y)=-4(4)
12x+16y=8
--------------------
-12x-16y=-16
12x+16y=8
-----------------
0=-8
no solution
What is the answer please give i really help and no links
Answer:
[tex]9\frac{57}{63}[/tex]
Step-by-step explanation:
First, we need to turn them into improper fractions:
[tex]2\frac{4}{7}[/tex] + [tex]7\frac{3}{9}[/tex]
7 x 2 + 4
7 x 9 + 3
[tex]\frac{18}{7}[/tex] + [tex]\frac{66}{9}[/tex]
Next, we need to find a common multiple of both 7 and 9
7, 14, 21, 28, 35, 42, 49, 56, 63
9, 18, 27, 36, 45, 54, 63
So the denomonator turns into 63.
We've multiplied the denomonater 9 times for the first fraction and 7 times for the second fraction, we therefore have to do the same to the numerator.
18 x 9 = 162
66 x 7 = 462
[tex]\frac{162}{63}[/tex] + [tex]\frac{462}{63}[/tex] = [tex]\frac{624}{63}[/tex]
Next, we have to turn it back into a mixed number.
To work it out: 624 / 63 = 9 (1 s.f) <--- Mixed number.
9 x 63 = 567
624 - 567 = 57 (Working out the remainder.)
Combining them, the answer is therefore [tex]9\frac{57}{63}[/tex]
Hope this helps and have a good day!
Problem Solving
4. A school club sells 43 raffle tickets on Monday and
39 raffle tickets on Tuesday. How many more raffle
tickets did it sell on Monday than on Tuesday?
Answer:
They sold 4 more raffle tickets on monday than they did on tuesday.
Step-by-step explanation:
Answer: they sold 4 more raffle tickets on monday than tuesday.-
Step-by-step explanation:
Will give brainliest
No need to give explanation.
No links!!
The system of equations has
Answer:
One Solutions I think
Step-by-step explanation:
Y - 7 =- 4(x - 2)
convert it into y-intercept form
Answer: the y intercept form is y= 4x-1
Step-by-step explanation: let me know if you need to know how I got it
Who’s smart ,but it’s math
Answer:
The answer is c
Step-by-step explanation:
Maci is saving money to go to Disney world for spring break. She has saved $570 so far. She works at Walmart and makes $9.20 per hour. How many more hours must work ur she needs a total of $800 to go to Disney world?
Answer:
25 hours
Step-by-step explanation:
subtract 800 from 570 to find out how much more she needs to save
divide your answer by 9.20
hope you understand
how to find the legs of a right triangle with only the hypotenuse calculator
Answer:
The triangle must be an isosceles triangle so as to only get one measurement
Step-by-step explanation:
The Pythagorean theorem states that the square of the hight and base is added then square rooted to get the hypotenuse
THE FORMULA: A square+b square=c square
how many solutions are there for 2x−5=8x+7−6x
Answer:62
Step-by-step explanation:
2 times 5=10-5=5
8 times 7=56+7= 63-6=57+5=62!
No solution. hope this helps
A music store purchases a grand
piano, wholesale, for $5,000.
They markup the retail price 65%.
What is the retail price?
Answer: 8250
Step-by-step explanation:
Answer:
8548
Step-by-step explanation:
Please help me thank you :)
We know the equation.
=> y = mx + bWe also know the y-intercept, which is -3.
=> b = -3.All we need to find is the slope. Once the slope is found, our equation is set.
=> Slope = Rise/Run=> -1/2 = SlopeConclusion:Since the slope has been found, the equation is y = -x/2 - 3.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
(7−2)3×(24−11)? cause im in 6th grade lol
Answer:
(7−2)(3)(24−11)
=(5)(3)(24−11)
=15(24−11)
=(15)(13)
=195
Step-by-step explanation:
Brian has DVDs and CDs. The number of CDs he has can be modelled with the formula C = 2D + 11, where C represents the number of CDs and D represents the number DVDs. If he has 41 CDs, how many DVDs does he have?
Answer: 15 DVDs
Step-by-step explanation:
C = 2D + 11
41 = 2D + 11
2D = 30
D = 15 DVDs
• The outside temperature changes -4.8°F in 4 hours. What is the average change in temperature each hour?
-19.2°F
-12.2°F
-1.8°F
-1.2°F
Answer:
-1.2°F
Step-by-step explanation:
-4.8F = 4 hours
Divide both sides by 4 to get one side to 1 hour
-4.8F/4 = 4 hours / 4
-1.2F = 1 hour
The average change in temperature each hour is -1.2°F
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that the outside temperature changes -4.8°F in 4 hours
We need to find the average change in temperature each hour
To find this we need to use division.
We need to divide -4.8 by 4
-4.8/4
Minus four point eight divided by 4
-1.2
Hence, the average change in temperature each hour is -1.2°F
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One whale sang to communicate with another whale. The song's sound wave traveled 2,100meters at a steady speed in 1.4seconds. What was the sound wave's speed?
Answer:
1500 meters / second
Step-by-step explanation:
Speed = the magnitude of distance / time
Distance = 2,100 meters
Time = 1.4 seconds
Speed = 2,100 meters / 1.4 seconds = 1500 meters / second
At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?
Answer:
there is a 20% chance that a vase will be cracked
Step-by-step explanation:
Answer:
2/10 = 1/5 = 0.2 = 20%
Step-by-step explanation:
Explain with examples of your own how to find the domain and range of a function.
Step-by-step explanation:
hope it will help you....
The diagram shows a rectangle 15cm long and 13cm wide.It has been split into four smaller rectangles. write the area of each small rectangle on the diagram.
[tex]195 cm^{2}[/tex]
Area of each splited rectangles =[tex] \frac{195cm{}^{2} }{4} [/tex]
=[tex]48.75 {cm}^{2} [/tex]
!! PLEASE MARK ME THE BRAINLIEST!!AND I'M REALLY VERY SORRY IF MY ANSWER IS WRONGthe numbers 1 to 9 are randomly arranged to form a 9-digit number. what is the probability that the number obtained is divisible by 18?
(please write the solution)
Answer:
Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444. or even 44.4%
Step-by-step explanation:
If we have 9 digits 1–9 placed randomly to form a 9-digit number without repetition and we want the probability of that number is divisible by 18, then we only need to look at the fact if it is divisible by 18, then it is also divisible by 2 and 9. Adding the digits 1–9 would give us the following (including checking for divisibility by 9):
(9 x 10)/2 =90/2 = 45
45÷9=5
By divisibility of 9, if the sum of the digits is divisible by 9, then the original number itself is divisible by 9. Since the number 45 is divisible by 9, we know that all the possible 9-digit numbers will be as well. The only thing we would have to look at is if it is even since the number has to be divisible by 2.
There are 9 digits of which 4 are even (2, 4, 6 or 8).
So the probability that the number is divisible by 2 is 4/9.
Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444.
Georgia is 2 years younger than 1/3 of her Aunt Mika's age. How old would Georgia be if her Aunt Mika is 27?
Answer:
7
Step-by-step explanation:
First, we have to find 1/3 of 27, which is the aunt's age.
27/3 is 9.
Now, since Georgia is 2 years younger, we have to subtract 2 from 9.
9-2=7
-hope it helps