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Wewaii [24]
3 years ago
13

You are checking the intermediate results of a phone app that calculates the weight of an object in kilograms given the weight i

n pounds. The particular calculation you are checking, shown below, is for an input weight of 142 pounds and outputs 29.3 kilograms. What is the first step that has an error, and why is it an error?
Step 1
Input value: 142

Step 2
Conversion factor: 2.2

Step 3
Conversion result: 64.5

Step 4
Conversion factor: 2.2

Step 5
Conversion result: 29.3

Step 1, because the input weight should be 29.3.
Step 2, because the conversion factor should be 1,000.
Step 3, because this conversion should have been multiplied by 2.2 instead of divided by 2.2.
Step 4, because there is only 1 conversion needed.
Step 5, because this conversion should have been multiplied by 2.2 instead of divided by 2.2.
Mathematics
1 answer:
Ganezh [65]3 years ago
7 0

Answer:

  Step 4, because there is only 1 conversion needed.

Step-by-step explanation:

To convert pounds to kilograms, one only needs to divide by (2.2 pounds/kg). That was done in Step 3, so no further steps are needed.

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Which equation, when solved, results in a different value of x than the other three?
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2 years ago
The graph of a sinusoidal function has a minimum point at (0,3)(0,3) and then intersects its midline at (5π,5)
bekas [8.4K]

Answer: F(x) = 2*sin(x/10  +(3/2)*pi) + 5

Step-by-step explanation:

The information that we have is that:

We have a minimum at (0, 3)

the midline is at (5*pi, 5)

This is a sinusoidal function, so we can write one generic one as:

F(x) = A*sin(c*x + p) + B.

where A and B are constants, c is the frequency and p is a phase

First, the minimum of the sine function is when sin(x) = -1, and this happens at (3/2)*pi

We know that this minimum is at x = 0.

sin(c*0 + p) = -1

Then p = 3/2*pi.

So our function is:

F(x) = A*sin(c*x  +(3/2)*pi) + B.

Now, we know that F(0) = 3, so:

3 = A*sin(c*0 +(3/2)*pi) + B = -A + B.

now we can use the other hint, the midpoint of the sine function is when sin(x) = 0, and this happens at x = 0 and x = pi, particularlly as we here have a phase of 3/2*pi, we should find x = 2*pi.

then:

c*5*pi + (3/2)*pi = 2*pi

c*5 + 3/2 = 2

c*5 = 2 - 3/2 = 1/2

C = 1/2*5 = 1/10

So our function is

F(x) = A*sin(x/10  +(3/2)*pi) + B

and we know that when x = 5*pi, F(5*pi) = 5, so:

5 = F(x) = A*sin(5*pi/10  +(3/2)*pi) + B

5 = B

and we aready knew that:

- A + B = 3

-A + 5 = 3

A = 5 - 3 = 2

So our equation is:

F(x) = 2*sin(x/10  +(3/2)*pi) + 5

8 0
3 years ago
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