Show the 64 can be written as either 26 or 43
1 answer:
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Amplitutde:
Normally for sinx amplitude is 2 (1 +1). In the case when it is half sine amplitude is halved, therefore 0.5 +0.5 = 1 Paramers alpha = 2x does not matter because it only stretches the graph horizontally.
Answer:
A) 15 hours
B) 108 hours
C) 2073.45 miles
Step-by-step explanation:
The earth rotates fully 1 time in 24 hours. Fully rotate means that it goes through 360 degrees in 24 hours.
A)
For this, we can set up unit ratio to solve.
<em>"If earth rotates 360 degrees in 24 hours, 225 degrees take how much time (let it be x)?"</em>
So , it takes 15 hours.
B)
Here, the rotation is given in radian, NOT degrees. We know that 2π radians is 360 degrees, thus we can say:
<em>"If earth rotates 2π radians in 24 hours, 9π radians take how much time (let it be y)?"</em>
So, it take 108 hours.
C)
The point on the equator is on the "outside" of the earth. So we need to figure out the circumference of the earth, given diameter is approximately 7920.
Circumference formula is C = 2πr, where C is the circumference, r is the radius (half of diameter, which is 7920/2 = 3960)
Hence
C = 2πr = 2π(3960) = 7920π
Hence, is 24 hours, a point travels 7920π miles. 2 hours is 1/12th of 24 hours, so in 2 hours the point will travel 1/12th the distance is travels in 24 hours. So:
Thus, it will travel 2073.45 miles in 2 hours.
Answer:
f(x)=x^2+9x-10
Step-by-step explanation:
<u>Standard Form of Quadratic Function</u>
The standard form of a quadratic function is:
where a,b, and c are constants.
The factored form of a quadratic equation is:
Where and
are the roots or zeros of f, and a is constant.
We know the zeros of the function are 1 and -10. The function is:
Operating:
Joining like terms:
Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is: