Answer:
D. Every rational number is also an integer
Step-by-step explanation:
Some rational numbers are integers, but not all of them
Graph the line that passes through the points (3,-4) and (3,-1) and determine
the equation of the line.
Answer:
The equation of a line:
x = 3The graph of the line is attached below.
Step-by-step explanation:
Given the points
(3, -4)(3, -1)Finding the slope between (3,-4) and (3,-1)
(x₁, y₁) = (3,-4)
(x₂, y₂) = (3, -1)
Using the slope formula
m = y₂-y₁ / x₂-x₁
= -1-(-4)) / 3 - 3
= -1 + 4 / 0
m = ∞
The slope of the line is undefined, then, by definition, the line would be a vertical line.
As the line that passes through the points (3,-4) and (3,-1)
For a vertical line, the value of x is the same for each and every value of y.Thus, the equation of a line:
x = 3The graph of the line is attached below.
Write a word description of the set.
{−6, −5, −4, −3, −2, −1}
exposed clout chaser
which model represents 1/3
Answer:2nd one because 2/6=1/3
Step-by-step explanation:
You spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.
Answer:
$58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
82-24=58
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) nothing, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)
Answer:
a) The exponential growth function
P(t) = 5,690,000(1.0287)^t
b) 6,742,868.7374 million
c) 12.04 years
d) 2439.0243902
Step-by-step explanation:
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year.
The formula for exponential growth is given as:
P(t) = Po( 1 + r) ^t
Where P = Population size after time t
Po = Initial population size
r = Growth rate in percentage
t= time in years
a) Find the exponential growth function.
P(t) = Population size after time t
Po = Initial population size = 5.69 million
r = Growth rate in percentage = 2.87% = 0.0287
t= time in years
The Exponential growth function
P(t) = 5,690,000(1 + 0.0287)^t
P(t) = 5,690,000(1.0287)^t
b) Estimate the population of the city in 2018.
From 2012 to 2018 = 6 years
t = 6 years
Hence,
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^6
P(t) = 5,690,000(1.0287)^6
P(t) = 6,742,868.7374 million
c) When will the population of the city be 8 million?
P(t) = 8,000,000
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1.0287)^t
Divide both sides by 5,690,000
8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000
= 1.4059753954 = 1.0287^t
Take logarithm of both sides
log 1.4059753954 = log 1.0287^t
Log 1.4059753954 =t Log 1.0287
t = Log 1.4059753954/Log 1.0287
t = 12.041740264
t = 12.04 years
d) Find the doubling time.
The formula is given as 70/Growth rate
= 70/0.0287
= 2439.0243902
Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
We can define the absolute value of any number:
IxI as:
"The distance between the point x and the origin in the coordinate axis"
If we are in one dimension, x is just a value, and the coordinate axis will be a number line.
Then we could rewrite this as:
"is the distance between the value x and the 0 in the number line"
So:
IxI = x if x > 0
IxI = -x if x < 0.
Then:
I -5 I
Is the distance between the number -5, and the 0 in the number line, and this is:
I - 5 I = 5.
The correct option is:
"It is the distance that -5 is form 0 on the number line"
Answer:
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
Find the inequality represented by the graph - khan academy
PLEASE HELP
Answer:
y ≤ x - 1
Step-by-step explanation:
The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y ≤ x - 1.
What is correct?
Screenshot below
I will give out 11 points
What is the value of x?
Enter your answer in the box
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
The slope of a vertical line is:
Answer:
The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.
the slope of a virtual lin.e is change in Y / change in X
Please help me with this question I need the answer
Answer:
I think the answer is A
Step-by-step explanation:
Answer:
First of all A and B are Letters not numbers...
Answer: a-b
Step-by-step explanation:
Express 0.495 in standard form
Answer:
4.95 x 10^-1
Step-by-step explanation:
4.95 x 10^-1
Which function represents the sequence -5.5, -4.75 -4,-3.25... ?
Factor the following by completing the square w^4-22w^2+9
Answer:
(w² - 4w - 3) (w² + 4w - 3)
Step-by-step explanation:
w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9
Geometry: The Expression 15×x×6 represents the volume of a rectangular prism with a length of 15, a width of x, and a height of 6. Simplify the expression.
1) 21x
2) 90x
3) 21/x
4) 90/x
Step-by-step explanation:
[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]
JK has endpoints located at J(15, - 13) and K(-9, 27). What are the coordinates of the midpoint of JK?
Answer:
[tex](3,7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point J (15, -13)
Point K (-9, 27)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint.
Substitute [MP]: [tex](\frac{15-9}{2},\frac{-13+27}{2})[/tex]Subtract/Add: [tex](\frac{6}{2},\frac{14}{2})[/tex]Divide: [tex](3,7)[/tex]What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6
Answer: C: f(-1)=0
Step-by-step explanation:
To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.
How many solutions does 46x– 23 = 46x + 23 have
Answer:
no solution
Step-by-step explanation:
Let's first try to solve this.
Notice that there is a 46x term on both sides, so we can subtract both sides by 46x, leaving us with:
-23 = 23
Well... this is a false statement: -23 does not equal 23.
Thus, this as no solution.
Answer:
No solutions found
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
46*x - 23 - (46*x + 23) = 0
Equations that are never true
Solve : -46 = 0
This equation has no solution.
A non-zero constant never equals zero.
Evaluate the following expression when n = 6.
|n - 6| - |5 - n|
Answer:
-1
Step-by-step explanation:
1. Substitute n with 6 because n=6
2. Then you simply solve both sides so (6-6)-(5-6) because n=6
3.so then you get the absolute value of 0 subtracted by the absolute values of -1
4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1
5. So the final answer is -1
Sorry if this was confusing, I’m really bad at explaining. :)
Answer:
|n-6|-|5-n|
=|6-6|-|5-6|
=|0|-|-1|
=0-1
=-1
How much is 2% of 3.50
Answer:
.07
Step-by-step explanation:
3.50 * 2% = .07
or
3.50 * .02 = .07
One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help
Answer:
C. Obtuse
Step-by-step explanation:
Simplify 81 to the negative 3 fourths power. (1 point)
Question 8 options:
1)
−27
2)
negative 1 over 27
3)
27
4)
1 over 27
Answer:
negative 1 over 27
Step-by-step explanation:
81 * negative 1 over 27 = -3
Answer:
[tex] \dfrac{1}{27} [/tex]
Step-by-step explanation:
[tex] 81^{-\frac{3}{4}} = [/tex]
[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]
[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]
[tex] = \dfrac{1}{(3)^3} [/tex]
[tex] = \dfrac{1}{27} [/tex]
Kathy has $50 in her bank account right now. After three
days she had $35 left. What is her rate of change per day?
Think about if she is making or spending money. Just write
the number.
Answer:
$5
Step-by-step explanation:
Please help due soon!
A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?
Answer:
A:y=3x-10
Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10
0.000603 in scientific notation
Simplify:
24 ÷ 4 × 3 - 6 × 5
A. -28
B. -12
C. 60
D. -20
Answer:
Ameliorate retort, pertaining to reinstating interrogate is B., -12.
Step-by-step explanation:
Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:
Groups: Not identified.Exponents: Not identified. Multiplication/ Division: 6 · 3 - 6 · 5 ⇒ Addition/ Subtraction: 18 - 30 = -12- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.
*Hope this helps.
express the scientific notation:4830000000 with all formula
Answer:
4.83 * 10^9
Step-by-step explanation:
Here, we want to express the given number in scientific notation
What we have to do here is to place the decimal number at the back of the first non zero number
The first non zero number is 4
So
let us count the number of digits after the first non zero number
That will be 9
So we make this the power of 10
And our answer will be;
4.83 *10^9
Which statement best represents the distance on a number line between -14 and -5?
Answer:
C my dude. have a merry christmassss
Answer:
A
Step-by-step explanation:
Both are negative, and largest is always first.