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:
What are the answers?
Answer:
Step-by-step explanation:
I need the statements please.
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
Write a word description of the set.
{−6, −5, −4, −3, −2, −1}
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
Geometry Question:
Find the value of x that makes N the incenter of the triangle (See attached)
Answer:
.5 or 1/2
Step-by-step explanation:
Y^2x 24^2=25^2
Y=7
7=14x
x=.5
The value of x is 0.5.
The calculation is as follows:Here we use Pythagoras Theorem
[tex]Y^2 - 24^2=25^2[/tex]
Y=7
Now
7 = 14x
So, x=.5
Therefore we can conclude that The value of x is 0.5.
Learn more: brainly.com/question/17429689
Please answer these questions I will mark brainliest
Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).
Step-by-step explanation:
Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.
Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.
Hence the equation is y + 5 = -2/3 * (x - 4). (B)
How much is 2% of 3.50
Answer:
.07
Step-by-step explanation:
3.50 * 2% = .07
or
3.50 * .02 = .07
Given h(x) = 3x + 4, find h(-1).
The value of h(-1) for the given funciton h(x) = 3x + 4 will be 1.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the function h(x) = 3x + 4
If we want to calculate the value of the function at a certain point then we need to keep that point in the function.
So,
Value of function at = -1 will be
h (-1) = 3(-1) + 4
h(-1) = 1
Hence " The value of h(-1) for the given funciton h(x) = 3x + 4 will be 1".
For more about the function,
brainly.com/question/23712366
#SPJ5
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
Which lengths make sense for possible values of b? Check all that apply.
–2 in.
0 in.
0.5 in.
2 in.
7.9 in.
Answer:
0.5 in, 2 in
Step-by-step explanation:
It cannot be a negative number, so -2 is out.If we use Pythagorean's theorem ([tex]a^2+b^2=c^2[/tex]), we know that only 0.5 and 2 are correct values of b.I don’t understand so please HELPPPPPPPPPPPPPP
Answer:
C
Step-by-step explanation:
Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units lol you get what im saying so the answer is C hope this HELPSS!!
By the way follow my insta. exotic. jaliyah if you need anymore help
0.000603 in scientific notation
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
6th grade math i mark as brainliest
Answer:
There are 5 terms
Step-by-step explanation:
each number is its own term
A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.
Answer:
There is no diagram for our observation. Please refine your question next time.
Step-by-step explanation:
Which of the tables represents a function?
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Table A
Table B
Table C
Table D
Answer:
table b i think
Step-by-step explanation:
Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?
Answer:
Step-by-step explanation:
Apples- 2
Oranges-4
Bananas- 3
In each basket
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
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.
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]
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]which model represents 1/3
Answer:2nd one because 2/6=1/3
Step-by-step explanation:
1. y = 5x + 2, (2,7)
y=5x−2 , y=−2x+5
Eliminate the equal sides of each equation and combine.
5x−2=−2x+5
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
7x−2=5y=−2x+5
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
7x=7y=−2x+5
Divide each term by
7
and simplify.
Tap for more steps...
x=1y=−2x+5
Replace all occurrences of x in y=−2x+5 with 1.
x=1y=−2⋅1+5
Simplify −2⋅1+5.
Tap for more steps...
x=1y=3
The solution to the system of equations can be represented as a point.(1,3)
The result can be shown in multiple forms.
Point Form:(1,3)
Equation Form:
x=1,y=3
A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
Convert the Following: 5.4 oz=__________ mg
Answer:
153087 mg
Step-by-step explanation:
WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?
Answer:
36
Step-by-step explanation:
Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12
The only number within the given range is 36
The number of students should be in the class should be considered as the 36.
Calculation of the number of students:Since
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
So here the total ratio should be like
= 5 + 7
= 12
So here the number of students should be divisible by 12
So, it should be 36
Learn more about ratio here: https://brainly.com/question/13111469
Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)
Find the sale price of the item. Round to two decimal places if necessary. Original price: $238.13 Markdown: 70% The sale price is $
pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due very soon!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$71.44
Step-by-step explanation:
Please help due soon!