The answer to this is 15 because you would multiply 5*3 to get you answer or you could do 5+5+5 either way it equals 15
The domain of a function is the set of values of x for which a value of y exists. In this case, the only way that a value of y would not exist is for a denominator to equal to zero. If this function is f(x) = 1/(x+1) + 5, then we must find the values of x for which the denominator (x+1) = 0, which is at x = -1.
Therefore the domain is all real numbers except x = -1. In interval notation this can be written as (-infinity, -1), (-1, infinity).
Answer:
<h2>The required ratio is 8</h2>
Step-by-step explanation:
Volume of a sphere = 
where r is the radius of the sphere.
If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;
Vo = 
If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.
radius of current sphere = 2cm+(1cm+1cm) = 4cm
Volume of the current sphere Vc = 
The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;
Vc/Vo = 
The required ratio is 8
Answer:
The measure of angle E is 45 degrees
Step-by-step explanation:
To get the measure if angle E, we use the appropriate trigonometric ratio
From the question, EF is the hypotenuse since it faces the right angle
EG is adjacent to angle E
so we are going to use the trigonometric ratio that connects adjacent to the hypotenuse
This trigonometric ratio is the cosine
It is the ratio of the adjacent to the hypotenuse
Thus,
we have it that;
Cos E = EG/EF
cos E = 6√26/12√13
E = arc Cos ( 6 √26/12 √13)
E = 45 degrees
60,000 and 6,000 one is just 10 times bigger
