Answer:
The answer is 8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2
Step-by-step explanation:
First we need to find diameter of the sphere. The distance point A and point B is:

d/2=r=2.92
radius of the sphere is 2.92 units
and the center of the sphere is:
C=((4+1)/2,(3+3)/2,(7+2)/2)
C=(2.5,3,4.5)
We can write the equation of the sphere as:

Answer: Q=1/2p+15,= p=2q-30= Slope = 1.000/2.000 = 0.500
p-intercept = -30/1 = -30.00000
q-intercept = 30/2 = 15
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p-(2*q-30)=0
Solve p-2q+30 = 0
we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line p-2q+30 = 0 and calculate its properties
Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000
q-intercept = 30/2 = 15
When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000
p-intercept = -30/1 = -30.00000
Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.000/2.000 = 0.500
Answer:
B) 1
Step-by-step explanation:
Given:

We need to solve the given expression.
Now We know that when base of the exponents then the law of indices applied for the same.
Now According to Law of Indices.

On Solving the above expression we get;

Hence The Simplified form of given expression is 1.
The following statements are considered to be propositions:
- There are more men than women at BYU-Idaho.
<h3>What is deductive reasoning?</h3>
Deductive reasoning can be defined as a type of logical reasoning that typically involves drawing conclusions based on a given set of rules and conditions or from one or more premises (factual statements) that are assumed to be generally (universally) true.
<h3>What is a proposition?</h3>
A proposition can be defined as a type of statement (assertion) that is typically used to express an opinion or a judgement, with either a true or false answer.
This ultimately implies that, a proposition refers to a type of statement (assertion) that is either a true or false.
In this context, we can infer and logically deduce that the following statements are considered to be propositions:
- There are more men than women at BYU-Idaho.
Read more on propositions here: brainly.com/question/24158168
#SPJ1
Answer:
B. (0.61)
Step-by-step explanation:
Well, first I created venn diagram to help separate my work, then I subtracted .22 from each "probability sections" then I added them up to get .61
Work explains a lot.
Hope it helped. :)