Final answer:
Levers are classified based on the positions of the fulcrum, input force, and output force. First-class levers have the fulcrum in the middle, second-class levers have the load in the middle, and third-class levers have the effort in the middle. The Mechanical Advantage of a lever indicates how much the lever amplifies the input force.
Explanation:
The three classes of levers are differentiated by the positions of the fulcrum, input force, and output force. A first-class lever has the fulcrum placed between the input force and the output force. Examples would include a seesaw and a crowbar. A second-class lever has the output force between the input force and the fulcrum, with examples being a wheelbarrow and a nutcracker. Lastly, a third-class lever has the input force between the output force and the fulcrum, as seen in a pair of tweezers or a human arm when lifting a weight.
The Mechanical Advantage (MA) is a calculation that shows how much a lever amplifies the input force. It is given by the ratio of the distance from the fulcrum to the input force (effort arm) and the distance from the fulcrum to the output force (resistance arm). Levers are simple machines that utilize torque and the physical distances from their pivot point to achieve an output force that is greater or faster or travels a further distance than the input force.
In how many ways can 50 cards be chosen from a standard deck of 52 cards?
(07.03 LC)
The steps below show the incomplete solution to find the value of p for the equation 4p − 2p + 4 = −1 + 21:
Step 1: 4p − 2p + 4 = −1 + 21
Step 2: 4p − 2p + 4 = 20
Step 3: 2p + 4 = 20
Which of these is most likely the next step?
2p = 5
2p = 8
2p = 16
2p = 24
Mario and Luigi want to purchase some extra controllers for their friends.each controller costs 29.99. Use an algebraic expression to describe how much they spend in total,before sales tax,based on purchasing the console(299.00)the number of games(59.99 each) and the number of extra controllers
If the telescope is 1 m deep and 8 m wide, how far is the focus from the vertex?
1
2
4
16
Find the vertex, focus, directrix, and focal width of the parabola.
negative 1 divided by 12 times x squared = y
B is the midpoint of AC, D is the midpoint of CE. BD=10, and AE =2x. Find the length of CE if CD =3x
Find three positive numbers x, y, and z that satisfy the given conditions. the sum is 180 and the product is maximum.
the lines shown below are perpendicular. if the green line has a slope of 3/4, what is the slope of the red line
a)4/3
b)-3/4
c)-4/3
d) 3/4
The slope of the red line is -4/3. Therefore, option C is the correct answer.
Given that, the green line has a slope of 3/4.
We need to find the slope of the red line.
What is the formula to find the slope of the perpendicular line?The formula for the slope of perpendicular lines is m1.m2 = -1. The product of the slopes of perpendicular lines is equal to -1.
Since, m1=3/4.
Now, 3/4.m2 = -1
⇒m2 =-4/3
The slope of the red line is -4/3. Therefore, option C is the correct answer.
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Is the number of fish caught during a fishing tournamentnumber of fish caught during a fishing tournament discrete or continuous?
The number of fish caught in a fishing tournament is a discrete variable, as it can only take specific or separate values which are whole numbers, not fractions or decimals.
Explanation:The number of fish caught during a fishing tournament would be considered a discrete variable in mathematics. This is because discrete variables are variables that can only take specific or separate values.
In this case, you can't catch half a fish or 2.3 fish in a tournament, you can only catch whole fish. This makes the number of fish caught a discrete variable because the count can only be in whole numbers. This is different from a continuous variable, such as the amount of time spent fishing or the weight of the fish caught, which could take on any value within a given range.
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how to factor 6x^2+5x+1
In physics, if a moving object has a starting position at s 0, an initial velocity of v 0, and a constant acceleration a, then the position S at any time t > 0 is given by:
S = at 2 + v 0 t + s 0.
Solve for the acceleration, a, in terms of the other variables. For this assessment item, you can use ^ to show exponents and type your answer in the answer box, or you may choose to write your answer on paper and upload it.
Step-by-step explanation:
The equation of a moving object in physics is given by :
[tex]s=at^2+v_ot+s_o[/tex]...........(1)
Where
s₀ is the starting position of an object
a is the acceleration of the object
v₀ is the initial velocity of the object
t is the time taken
We need to find the value of acceleration by rearranging equation (1). Subtract [tex](v_ot+s_o)[/tex] on both sides of equation (1) as :
[tex]s-v_ot-s_o=at^2[/tex]
Divide both sides of above equation by t² as :
[tex]a=\dfrac{s-v_ot-s_o}{t^2}[/tex]
So, the value of acceleration is [tex]\dfrac{s-v_ot-s_o}{t^2}[/tex]. Hence, this is the required solution.
A regular pyramid has a height of 12 centimeters and a square base. if the volume of the pyramid is 256 cubic centimeters, how many centimeters are in the length of one side of its base
Write the equation of a circle with center (-2,3) and a radius of 4. Show all work to receive credit.
In the triangle below, what is the side opposite the 30 degree angle
Simplify 15 to the 18th power over 15 to the 3rd power.
Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation to the top of the mountain and finds it to be 21°44'. Find the height of the mountain to the nearest foot if Bob is 13,428.7 feet from the center of the mountain at the base.
A. 5453 ft
B. 5353 ft
C. 53,534 ft
D. 535,342 ft
Answer:
Option B is the correct answer.
Step-by-step explanation:
The arrangement is given in the below figure.
We have height of the mountain = x
We also have
[tex]tan(21^044')=\frac{x}{13428.7}\\x=5352.98ft[/tex]
Height of the mountain to the nearest foot = 5353 ft
Option B is the correct answer.
solve for y. 8x+y=15
What is the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1)?
Final answer:
The value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1) is -2. This is determined by simplifying and solving the given expression for n.
Explanation:
To find the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1), we need to simplify and solve for n. First, we distribute the negative sign and the 4 into the parentheses and then combine like terms:
-2n - 4 + 6 = -9 + 8n + 4
Now, we combine the constants:
-2n + 2 = -5 + 8n
To isolate n, we move all the terms involving n to one side and the constants to the other:
-2n - 8n = -5 - 2
-10n = -7
Finally, we divide by -10 to solve for n:
n = ⅔
Thus, the value of n is -2.
Dr. Black is standing 15 feet from the streetlamp. The lamp is making his shadow 8 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 50°. To the nearest foot, the streetlamp is about _______
how would you prove two circles are similar
Answer:
it is by similarity transformations
Step-by-step explanation:
so like it would be a rigid transformation then a dilation
EX- A translation then a dilation of R/r
Simplify: 6/3-y -2/y
He sum of three consecutive odd integers is −375. find the three integers.
-375/3 = -125
-125-2 =-127
-125+2 = -123
-123 + -125 + -127 = -375
The volume of a cube is found using the formula l3, where l is the side length. What is the volume of a cube, in cubic feet that is 3/5 of a foot long
Solve log 1/100 = log(10^x+2)
A.) x= 0
B.) x= -2
C.) x= -4
D.) x= 4
Help with geometry...
Jan is twice as old as her sister betty, but half of joe's age. betty just got married. how old is joe most likely to be?
Write the function in vertex form, and identify its vertex. g(x) = 5x2 - 50x + 128
A hypothesis is only tentative: to make sure it's valid, you have to ___________.
Write the sum using summation notation, assuming the suggested pattern continues. -9 - 3 + 3 + 9 + ... + 81
Honestly I believe this is correct:
∑ 15 at the top, n =0 (-9+6n)
any ideas friends? cant seem to figure this out
Bruce had an EKG to measure his heartbeat rate. After conversion, the function produced could be modeled by a cosine function, and the wave produced a maximum of 4, minimum of −2, and period of pi over 2. Which of the following functions could represent Bruce's EKG read-out?
f(x) = 4 cos pi over 2x − 2
f(x) = 3 cos 4x + 1
f(x) = 3 cos pi over 2x + 1
f(x) = 4 cos 4x − 2
Answer:
Option B.
Step-by-step explanation:
Bruce had an EKG to measure his heartbeat rate. After conversion, the function produced was modeled by a cosine function.
Now we will form this function.
Function will be in the form of f(x) = a cos(Bx) + d
Amplitude [tex]a=\frac{Maximum-minimum}{2}[/tex]
[tex]a=\frac{4+2}{2}=3[/tex]
Period = π/2
And [tex]Period=\frac{2\pi }{B}[/tex]
⇒[tex]\frac{\pi }{2}=\frac{2\pi }{B}[/tex]
⇒ B = 4
Since minimum is (-2) and maximum is (4), means cosine graph was shifted upwards.
Mid line of the graph is [tex]x=\frac{4+2}{2}=3[/tex] which shows graph is shifted by one unit above the x-axis.
Now the function we get is f(x) = 3 cos4x + 1
Therefore option B is the answer.