Answer:
12 correct answers
Step-by-step explanation:
Since in the main part she scores 8.3 points for each question she answers correctly, we can assume that the number of questions she answers correctly=a
Therefor, the total number of points she achieved in the math test in the main part alone can be expressed as:
Total score(main part)=8.3×a=8.3a points
She also solved a bonus question worth=11 points
Consider expression 1 below
The total score in the whole test=Total score in the main part+Bonus points, where;
Total score in the whole test=110.6 points
Total score in the main part=8.3a points
Bonus points=11 points
Substituting the values in expression 1:
8.3a+11=110.6
8.3a=110.6-11
8.3a/8.3=99.6/8.3
a=12
Number of correct answers in the main part=a=12
Answer:
<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:
Where g is the acceleration of gravity 
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:
Substituting:
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
The volume formula of a cylinder is :
From the problem, the volume is 1 m^3 and the height is 0.6 m.
Substitute the given to the formula :
Take the square root of both sides of the equation :
![\begin{gathered} r^2=0.53 \\ r=\sqrt[]{0.53} \\ r=0.728 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20r%5E2%3D0.53%20%5C%5C%20r%3D%5Csqrt%5B%5D%7B0.53%7D%20%5C%5C%20r%3D0.728%20%5Cend%7Bgathered%7D)
The answer is r = 0.728 m
Answer:no
Step-by-step explanation:
Answer:
(−∞,+∞)
Step-by-step explanation:
The cotangent function can take up any values depending on the value of
x
, the independent variable.
And thus, the range
(
−
∞
,
+
∞
)
is justified.
The domain is all real numbers other than integral multiples of
π
where, the function is not defined.
