Answer:
42 Joules
Step-by-step explanation:
Edge 2020
Work done by the force is 42 units which is correct option(C)
What is Work done?The work done by a force in moving along a vector that is the product of their.
Let the the object move from P(2,-4) to Q(10,1)
Here, the position vectors
[tex]\vec{p}[/tex] = [tex]2\vec {i}+(-4)\vec {j}[/tex], [tex]\vec{q}[/tex] = [tex]10\vec i+\vec{j}[/tex]
Hence [tex]\vec{PQ}[/tex] = [tex]\vec{q}[/tex] -[tex]\vec{p}[/tex] = [tex]10\vec i+\vec{j}[/tex] - [tex]2\vec {i}+(-4)\vec {j}[/tex],
[tex]\vec{PQ}[/tex] = [tex]8\vec i+5\vec{j}[/tex]
Force acts in a direction (4,2)
So [tex]\vec{F}[/tex] = [tex]4\vec i+2\vec{j}[/tex]
∴ Work done = [tex]\vec{F}.\vec{PQ}[/tex] = [tex](4\vec i+2\vec{j})[/tex] [tex].(8\vec i+5\vec{j})[/tex]
Work done = 32+10 =42 units
Hence work done by the force is 42 units
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A carnival game awards a prize if Kasey can shoot a basket. The charge is $5.00 for the first shot, then $2.00 for each additional shot. Kasey needed 11 shots to win a prize. What is the total amount Kasey spent to win a prize? What is the first term? what is the common diference.
Answer:
its $25 if he completes all 11 shots
Answer:
its $25 if he completes all 11 shots
Step-by-step explanation:
what value of b makes the equation true ? -(-b + 5) + 5b = -19 - b
b=?
Answer:
b=-2
Step-by-step explanation:
-(-b+5)+5b=-19-b
b-5+5b=-19-b
b+b-5+5b=-19-b+b
2b-5+5+5b=-19+5
2b+5b=-14
7b=-14
7b/7=-14/7
b=-2
John and Julie are planning to have a new house built the architect designs a house instant them the blueprints skilled at the art architect used on the blueprints is 2 1/2 inches equals 10 feet the living room what are the actual dimensions of 12‘ x 16‘ what are the dimensions on the blueprints
Answer:
3"x4
Step-by-step explanation:
The symbol for a foot is "ft", sometimes denoted by a prime(') , also, the inch is denoted by a double prime(").
Given
2 1/2inces (2.5") blue print represents 10ft living room
We are told that the dimension of the room on the blueprint is
12'x16'
Let us convert 12' to inches
So
2.5" represents 10'
X ' will be 12'
Cross multiplying
X=(2.5*12)/10
X=3"
Let us convert 16' to inches
So
2.5" represents 10'
Y ' will be 16'
Cross multiplying
Y=(2.5*16)/10
Y=4"
the dimension of the blue print is
3"x4"
find the slope between the two points (1, 8) (0, 3)
Answer:5
Step-by-step explanation:
use the slope formula
PLSSSSSSSSSSS HELPMaya has 5 over 6 cup of ice cream. how many 1 over 4-cup servings are in 5 over 6 cup of ice cream?
1 and 3 over 2
2 and 1 over 3
3 and 1 over 3
4 and 1 over 2
Answer:
[tex]3\frac{1}{3}[/tex] servings
Step-by-step explanation:
[tex]\frac{5}{6}[/tex] ÷ [tex]\frac{1}{4}[/tex] = [tex]\frac{5}{6}[/tex] × 4 = [tex]\frac{10}{3}[/tex] = [tex]3\frac{1}{3}[/tex] servings
The population of California is 3.7 x 107 people. The population of Colorado is 5.0 x 106 people. What is the difference in size between these two populations? Express the answer in scientific notation.
Answer:
Step-by-step explanation:
3.7 × 107 = 395.9
5.0 × 106 = 530
530 - 395.9 = 134.10
(-4,19) and (8,-2) whats the slope intercept
Answer:
slope = -7/4
Step-by-step explanation:
Plug the points into this formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Plug in
[tex]\frac{-2 - 19}{8 - (-4)} \\\\\frac{-21}{12} = -7/4[/tex]
The simplest form is -7/4
Hope this helps ya! Keep smiling!
if you answer were friends now.
Answer:
Wazzgood
Step-by-step explanation:
terms are also expressions.
No
Some
А All
PLZ ANSWER FAST
-6(1+8a)=36-6a. anybody know this answer ?
Answer:
a=-1
If you need explanation please comment
3X + 7X - 10 an dx = 2
Answer:
3x+7x-10+2=2
Step-by-step explanation:
ok?, ok
4x + 3
8x - 9
What is the answer
Answer:
Step-by-step explanation:
12x-6
los miembros de un club social se pueden agrupar en sin que ninguno quede suelto, por parejas, por trios y por grupos de 7. ¿ cuantos miembros tiene el club, sabiendo que son mas de 80 pero menos de 90?
Answer:
El club tiene 84 miembros.
Step-by-step explanation:
El mínimo común múltiplo (mcm) es el número positivo más pequeño que es múltiplo de dos o más números. Es decir, el mínimo común múltiplo de dos números a y b es el número más pequeño que es múltiplo de a y múltiplo de b. Recordar que los múltiplos son el resultado de multiplicar un número por todos y cada uno de los números naturales.
Para calcular el mcm se descompone los números para escribirlos como un producto de números primos. Para descomponer un número se divide el número sucesivamente entre números primos hasta llegar a 1. La descomposición es el producto de las potencias de los números primos, siendo sus exponentes el número de veces que se ha dividido por dicho primo.
El mínimo común múltiplo se obtiene escogiendo todos los factores (comunes y no comunes), elevados a la máxima potencia. Es decir eliges todos los factores, pero los que se repitan serán elevados a la máxima potencia.
En este caso, los miembros de un club social se pueden agrupar, sin que ninguno quede suelto, por parejas, por tríos y por grupos de 7. Para calcular la cantidad de miembros que tiene el club, entonces debes calcular el mcm entre los números 2,3 y 7
No podemos descomponer los números como producto de primos porque ya son números primos., por lo que el mínimo común múltiplo es el producto de comunes y no comunes al mayor exponente:
mcm (2,3,7)= 2*3*7= 42
Pero sabes que los miembros son más de 80 pero menos de 90, por lo que calculas un múltiplo del mcm obtenido.
Múltiplo de 42= 2*42= 84
El club tiene 84 miembros.
Allison wants to cut out a rectangle with an area of 54 inches. What are the
possible whole number lengths and So widths of the re
Answer:
1 and 54
2 and 27
3 and 18
6 and 9
Step-by-step explanation:
Answer:
Multiple Possibilities:
1 x 54
2 x 27
3 x 18
6 x 9
Step-by-step explanation:
Help me plz I need help wit dis question
by using of formula A2 +B2 + 2AB
What is X2 + 3(4) - 1 = 47?
Answer:
x=6, -6
Step-by-step explanation:
take the root of both sides then solve
Answer:
x = 18
Step-by-step explanation:
2x + 3(4) - 1 = 47
Begin by combining your like terms
2x + 12 - 1 = 47
2x + 11 = 47
Isolate your variable (x) by using inverse operations
2x = 36
x = 18
Part A
Use the number tiles to respond to the prompts below.
From left to right, the number tiles reed, 4, 7, 0, 2, 8
Can a number be created that is between $42,807$ and $24,780$ ? If so, provide an example.
Explain your thinking using place value.
Respond in the space provided.
Question 2
Part B
Will rounding any number to the tens place always result in a smaller number than rounding that same number to the hundreds place?
Explain why or why not.
Provide an example that supports your reasoning.
Respond in the space provided.
Answer:
24,078
Step-by-step explanation:
A) 20,000
4,000
0
70
8
B)
No
Example
round to the tens
255 ...... 260
241 ... 240
round to the hundreds
255 ....... 300
241 ....... 200
How many solutions does have?
1/2 ( 2p + 9 ) = -p + 5
Answer:
Step-by-step explanation:
P + 4.5 = - p + 5
Bringing like terms on one side
P + p = 5 - 4.5
2p = 0.5
p = 0.5/2 = 0.25
In my opinion the answer is one solution
Answer:
1 solution.
Step-by-step explanation:
1/2(2p + 9) = -p + 5
lets solve for p
1/2 * 2p + 1/2 * 9 = -p + 5
1p + p + 9/2 = - p + p + 5
2p + 9/2 = 5
Multiply by 2 on both sides to get rid of the fraction 9/2.
4p + 9 = 10
4p = 1
p = 1/4
Therefore, there is only 1 solution.
You can now check by plugging in 1/4 for p in the original equation.
(X,y) —> (x,-y) rule
How many solutions does 9x - 18 = 3(3x - 6) have?
Answer:
assuming the three options are no solutions, one solution and all real numbers, i would say the final option. i forgot what the proper wording is thoough
The given expression will have no solution.
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given an expression, 9x - 18 = 3(3x - 6)
In the given expression, both LHS and RHS are equal, therefore it will have no solution.
Hence, The given expression will have no solution.
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Bonnie’s Bakery goes through 22 4/5 cups of vegetable oil in 2 weeks. If they use the same amount each week, how much do they go through in 1 week?
Answer:
11.4 and/or 11 2/5
Step-by-step explanation:
You can turn 22 4/5 into a decimal which is 22.8 and divide that by 2 and it gets you 11.4. You can also turn 22 4/5 into an improper fraction which is 114/5. Multiply that by 1/2 which is 11 2/5.
What is the distance between -3 and 3 on a number line?
Answer:
6
Step-by-step explanation:
-3,-2,-1,0,1,2,3
1-2-3-4-5-6
Can any one help??? If u do i will do anything
Answer:
B. >
Step-by-step explanation:
Absolute values (|x|) just make the number inside positive so 9.9 > 1.4
PLEASE HELP ASAP:( i’ll mark brainlest
Answer:
D
Step-by-step explanation:
Help!!!!
Given log73≈0.5646 and log716≈1.4248, evaluate the expressions.
Answer:
a) 0.356
b) 1.1397
Step-by-step explanation:
a) log₇2
log(2) / log(7) 0.356b) log₇ (¹⁴⁷/₁₆)
log (¹⁴⁷/₁₆)log (7)
1.1397Find the slope of each line
Answer: 7/3
Step-by-step explanation: From the leftmost, lower point to the uppermost point, you move upwards 7, and rightward 3. Slope is vertical movement over horizontal, giving 7/3.
Can you please help me with this
The answer is 63
Glad I could help :)
Answer:
117
Step-by-step explanation:
angle 2 is a vertical angle to 63. This means that it is equal to 2. So angle two is 63 degrees.
angle 2 and 7 add up to 180 degrees. You know that angle 2 is 63 degrees. So you do 180-63 degrees which leaves you with 117 degrees. Angle 7 is 117 degrees.
angle 5 and 7 are also vertical angles. Which means 5 is also equal to 117.
The answer is 117 degrees.
Hi anyone know the answer to this? Ill give brainliest :(
Write an algebraic expression for the given word expression:
The sum of a number e and 5.3
Answer:
The algebraic expression would be: e + 5.3 or 5.3 + e
Step-by-step explanation:
Please help me with this question please!
Bob frosted 4 1/2 cakes in 3/4 of an hour. At what rate, in cakes per hour, did he frost the cakes
