Answer:
The volume of cube C is
Step-by-step explanation:
step 1
Find the diameter of sphere B
we know that
When a cube is inscribed in a sphere, the long diagonal of the cube is a diameter of the sphere
Let
L ----> the length side of cube A
d ----> the diagonal of the base of cube A
D ---> the long diagonal of cube A
Find the diagonal of the base of cube A
Applying the Pythagorean Theorem
we have
substitute
Find the long diagonal of cube A
Applying the Pythagorean Theorem
substitute
step 2
we know that
If sphere B is inscribed in cube C, then the length side of cube C is equal to the diameter of sphere B
Let
c ----> the length side of cube C
we have that
The volume of cube C is equal to
substitute
Integers are whole numbers, they can be positive or negative....they are not decimals or fractions.
quotient means divide...so lets pick 2 non zero integers....2 and 3....now divide them.
2/3 = 0.66....so ur answer is FALSE..because we took 2 non zero integers and divided them, but we didn't get an integer as an answer.
Sometimes it is true...but not all the time.
2/4 = 2...here it is true
2/3 = 0.666 ...here, it is not
Answer:
C. 9
Step-by-step explanation:
6 ÷ 2/3
Copy dot flip
Take the first term. Change the division sign to multiplication. Flip the second term
6 * 3/2
18/2
9
First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
The equation that describes how the dependent variable (y) is related to the independent variable (x) is called the regression model. This equation is a result from the statistical modeling called the regression analysis. It is a method used to estimate relationships of a response variable and predictor variables being measured. The simplest type of regression is the linear regression where the relation ship between the independent variable x and the dependent variable y is being predicted. These equations can be used to predict values that are beyond the measuring values of the experiment. Also, these are used to describe the behavior of the variables.