Answer:
-3.7 > -3.1
Step-by-step explanation:
Because -3.1 more close to 0 so is supposed to be bigger than -3.7
Answer:
V = 785 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables.</em>
<em>r</em> = 5 cm
<em>h</em> = 10 cm
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cylinder Formula]: V = (3.14)(5 cm)²(10 cm)
- [Order of Operations] Evaluate: V = 785 cm³
<span>1)The table below represents a linear function f(x) and the equation represents a function g(x):
x y
-1 -11
0 -1
1 9
g(x) = 5x + 1
Part A: Write a sentence to compare the slope of the two functions and
show the steps you used to determine the slope of f(x) and g(x). (6
points)
slope of the data of the table:
slope = rise / run = Δy / Δx = [ 9 - ( - 1) ] / [1 - 0] = 10/1 = 10
Also Δy / Δx = [-1 - (-11) ] / [ 0 - (-1) ] = 10 / 1 = 10
the slope of the function given in the form f(x) = mx + b is m, so the slope of g(x) = 5x - 1 is 5.
Comparisson: the slope of the function g(x) = 5x - 1 is half the slope of the function f(x) represented by the table.
Part B: Which function has a greater y-intercept? Justify your answer.
The y-intercept is the value of y when x = 0, so it is - 1 for the function represented by the table.
The y-intercept of a function given in the form f(x) = mx + b is b, so the y-intercept of g(x) = 5x - 1 is - 1.
So, both functions have equal y-intercept.
2)The table below shows the values of y for each value of x:
x y
1 0
1 -1
2 1
2 -2
Part A: Does the table represent a relation that is a
function? Justify your answer by using the values shown in the table. (4
points)
No, it is not a function, because the relation is ambiguous: the x-coordinate 1 may have two differente values, and the x-coordinate 2 may have two different. So you cannot determine the images of x = 1 and x = 2.
Part B: The function f(x) shown below represents the number of baskets
Jess made at different distances, x, in meters, from the hoop:
f(x) = -x + 6
Calculate and interpret the meaning of f(4). (4 points)
f(4) = - 4 + 6 = 2
It means that Jess made 2 baskets at the distant of 4 meters.
Part C: Write an ordered pair to represent the input and output of the
function in Part B when Jess is at a distance of p meters from the hoop.
(2 points)
input, p output, f(p)
6 -6 + 6 = 0
So the ordered pair is (6,0)
</span>
Answer:
16 mice because 4*4=16 or 4+4+4+4=16
Step-by-step explanation:
Answer:
the amount borrowed is ≅ $527
Step-by-step explanation:
Given that;
simple interest rate r = 180% p.a
Let the amount borrowed (principal) be $x.
time t = 4 weeks = 28 days
= 28/365 year
= 0.0767 year
we all know that :
Simple interest = 0.13806x
Total amount to be paid after 4 weeks= Interest+Principal
= x + 0.13806x
= 1.13806x
Thus;
1.13806x = $600
x = $600/ 1.13806
x = $527.21
Hence; the amount borrowed is ≅ $527
