Answer: -5 degrees Celsius
Step-by-step explanation:
Temp at 2:00am = -2.7
2:00am is two hours after midnight
During that time the temperature has risen by 1.15 degrees every hour so has risen in total by:
1.15x2 = 2.3 degrees
-2.7-2.3=-5
It was -5 degrees at midnight
Answer:

Step-by-step explanation:
<u>Fractions</u>
They can be expressed as proper fractions, improper fractions or mixed numbers. Proper fractions are such that the numerator is less than the denominator, like 2/5, 7/11, -9/10. Improper fractions are those whose numerators are greater than the denominator, such as 5/3, 10/9, -21/8.
Mixed numbers are expressions made of whole numbers and a proper fraction, like 4 3/5, 1 1/2, -5 4/9. Mixed numbers can be transformed to improper fractions and vice-versa.
The question requires us to find the average change in field position on each run of the running back for the Bulldogs football team which carried the ball 5 times for a total loss of 11 1/4 yards.
The number 11 1/4 is mixed, to express it as an improper fraction, we add the numbers like

This improper fraction will now be divided by 5 to find the average of 5 runs:

We now need to separate the improper fraction to a mixed number, let's just divide 9 by 4 to get 2 as the quotient and 1 for the remainder, thus
Answer:
Ö + θ ( (k/m) + (g/l)) = 0
Step-by-step explanation:
Use the FBD attached:
Apply Newtons 2 nd Law in tangential direction:
Sum ( Ft ) = m*a
Sum of all tangential forces is:
m*g*sin(θ) + k*l*sin(θ)*cos(θ) = - m*l*Ö
Using small angle approximations:
sin (θ) = θ
cos (θ) = 1
Ö = angular acceleration.
m*g*θ + k*l*θ = -m*l*Ö
Ö + θ ( (k/m) + (g/l)) = 0
Answer: option B
Step-by-step explanation:
The circumference of a circle can be calculated with this formula:

Where "C" is the circumference of the circle and "r" is the radius of the circle.
The area of a circle can be calculated with:

Where "r" is the radius.
Knowing the area, you can solve for the radius:

Substituting into
, you get that the circumference of this circle is:
