Answer:
7500 N
Step-by-step explanation:
Given that,
A hammer claw moves a distance of 0.10 meters to remove a nail.
Resistance force, F = 1500 N
The person move the handle of the hammer 0.5 m
We need to find the effort force. Let it is F'. The mechanical advantage is given by :
Where are input and output distance respectively.
So, the effort force is 7500 N.
The equations of the transformed graphs are and
<u>The tangent function</u>
The parent function is:
y = Atan(Bx) + k
It has a period of 4.
So, we have:
Make B the subject
It is shifted vertically up by 3 units.
So, we have:
k = 3
Substitute these values in y = Atan(Bx) + k and remove A
Hence, the equation of the transformed graph is
<u>The sine function</u>
The parent function is:
y = Asin(Bx) + k
It has a period of
So, we have:
Make B the subject
B = 2
It has an amplitude of 3/4
So, we have:
A = 3/4
It is flipped across the x-axis
So, we have:
A = -3/4
Substitute these values in y = Asin(Bx) + k and remove k
Hence, the equation of the transformed graph is
Read more about function transformation at:
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Answer:
Mrs. Salinas buys 4 ounces M&Ms and 6 ounces Peanuts.
Step-by-step explanation:
Given,
Total weight of the mixture = 10 pounds.
Total money Mrs. Salinas paid = $24.
We have to find out the weight of each M&Ms and peanuts.
Solution,
Let the weight of M&Ms be x.
And the weight of peanuts be y.
Since total weight of the mixture is 10 pounds.
So, we can frame it in equation as;
Again, Total money paid by Mrs. Salinas is the sum of weight of M&Ms multiplied by price for each ounce and weight of peanuts multiplied by price for each ounce.
So, we can frame it in equation as;
Now, multiplying equation 1 by 2, we get;
Now subtract equation 3 from equation 2, we get;
On substituting the value of x in equation 1, we get;
Hence Mrs. Salinas buys 4 ounces M&Ms and 6 ounces Peanuts.