50 Points for the full answer to this question!!!
2 answers:
<h3>Answer:</h3>
a, b, c) see the attachment
d) y = -34.4762(x -2.44268)² +281.613
<h3>Explanation:</h3>Using Desmos is pretty straightforward for doing what the problem statement asks. You make a table, then write an equation for y₁ in terms of x₁ using the tilde (~) for the equal sign. Desmos chooses values of the coefficients to make the curve of best fit and lists those for you.
For part (b) of your question, you will have to copy the values into the form of the equation: replace "a" with its value, "b" with its value, "c" with its value.
The vertex point has been highlighted on the curve, so you can read its coordinates on the graph.
_____
The equation you write relating x₁ and y₁ can be written in vertex form, so you can have Desmos tell you the appropriate numbers directly. (See the second attachment.) As it works out, you don't have to, because the "a" value and the vertex coordinates are all you need to write the equation in vertex form.
You might be interested in
Step-by-step explanation:
To find the radius of the sphere we must convert the inches to centimeters
Using the conversation
1 inch = 2.54 cm
If 1 inch = 2.54 cm
4.17 inch = 2.54 × 4.17 = 10.59 cm
<h2>a).</h2>We can find the radius using the formula
From the question
diameter = 10.59 cm
So we have
Surface area of a sphere= 4πr²
where
r is the radius
Surface area = 4(5.30)²π
= 112.36π
= 352.989
We have the answer as
<h3>Surface area = 353 cm²</h3><h2>c).</h2>Volume of a sphere is given by
r = 5.30
The volume of the sphere is
= 623.61451
We have the answer as
<h2>Volume = 623.6 cm³</h2>Hope this helps you
The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.
Step-by-step explanation:
1. The decimal forms of some real numbers, like( ), terminate
A number is terminating if it has decimal with finite number
So, as decimal stops after 4 digits so it is terminating.
2. the decimal forms of other real numbers, like( ), do not terminate, but have a repeating pattern.
A number that do not terminate, but have a repeating pattern.
So,
3. have decimal forms that neither terminate nor repeat
5^2 = 25 it neither terminates nor repeat
So, answers will be:
The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.
Keywords: Decimals
Learn more about decimals at:
#learnwithBrainly