Answer:
y=3x-1
Step-by-step explanation:
Is 9.78778777... a rational or irrational number?
The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
The given decimal number is 9.78778777....
We need to check whether the given decimal number is a rational or irrational number.
What are rational and irrational numbers?Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.
So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.
Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
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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.
Write a word description of the set.
{−6, −5, −4, −3, −2, −1}
Pls help I need this done soon and I suck at math
Answer: 4.5
Hope this helps :)
are all equilateral triangles acute?
Answer:
Yes, all equilateral triangles are acute.
Step-by-step explanation:
yea
hope this helps :)))
PLEASE ANSWER THIS ASAP !!!!!!
Answer:
y = - x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus
y = - x ← equation of line
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?
F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x
The solution is : she needs at least 16 points.
x + 64 ≥ 80
x ≥ 16
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
Given
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.
so,
Total = 80 (at least)
accumulated = 64
Required
Express as an inequality
In inequalities, at least means ≥
So, the expression is:
Where x represents the additional points
x + 64 ≥ 80
Solve for x
x ≥ 16
Hence, she needs at least 16 points.
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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
exposed clout chaser
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.
How many choices are in the sample space of drawing a club out of a deck of 52 cards?
A. 13 choices
B. 52 choices
C. 26 choices
D. 12 choices
Answer:
A. 13
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
A scuba diver is 20 feet below the surface of the water 14 seconds after he entered the water and 100 feet below the surface after 30 seconds. What is the scuba divers rate of change?
Answer:
1 foot = 0.7 secs
Step-by-step explanation:
14 seconds divided by 20 feet = 0.7 seconds per foot descended.
Hope this helps and good luck :)
Write a linear function f with f(0)=3 and f(−6)=3.
f(x)=
Answer:
y = 3
Step-by-step explanation:
The equation of a line is;
y = mx + c
Now, when f(0) = 3, it means at x = 0, y = 3.
Thus;
3 = 0 + c
3 = c
Also, f(−6) = 3
Thus;
3 = -6m + 3
6m = 3 - 3
6m = 0
m = 0/6
m = 0
Thus,equation is;
y = c
y = 3
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.
Please help due soon!
Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y=400x+1000
based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?
Answer:
x=-5/2
Step-by-step explanation
y=0
0=400x=1000 divide both sides
x=-5/2
Answer:
The Answer is D: Starting amount in his savings account
Step-by-step explanation:
The y-intercept represents the starting amount in his savings account.
x = 0 for the y-intercept.
y = 400x + 1000
y = 400(0) + 1000
y = 1000
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
Ryan and his brother, Russell, made photo frames for their grandma's birthday. They used shells they collected from the beach near her house. Ryan glued 9 white shells and 15 orange shells to the border of his frame. Russell glued 8 white shells and 10 orange shells to the border of his frame. Did the two frames have the same ratio of white shells to orange shells?
Answer: No. The two frames does not have the same ratio of white shells to orange shells.
Step-by-step explanation:
Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:
9/15 = 3/5
The ratio is 3:5
Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:
= 8/10 = 4/5
The ratio will be 4:5.
Therefore, the two frames does not have the same ratio of white shells to orange shells.
60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?
Answer:
16:60 = 4/15
Step-by-step explanation:
Which function represents the sequence -5.5, -4.75 -4,-3.25... ?
4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%
Answer:
what are you asking though
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.
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:
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.
How do you find the run between two points? Can the rise be negative? Explain
Answer:
Step-by-step explanation:
To find run between two points, you will use the x-values.
For example, (2,3) and (4,5).
Your equation for slope is m=[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
To find the run of these two numbers, you will subtract the second x value from the first x value.
Your answer would be 2 for the run.
It is possible for the rise to be negative if the y value of the point is greater in the first point than the second.
Example:
points (2,8) and (5,1)
1 - 8 would equal -7.
Solve
Log(x-1)+log(2)=7
Answer:
x is 6 i believeee if you're solving for x!!
Step-by-step explanation:
Answer:
x = 1 + 0.5 * 10^7
Step-by-step explanation:
Use log(a) + log(b) = log(ab).
log(x-1) + log(2) = 7 <=> log(2(x-1)) = 7 <=> log(2x-2) = 7
Using log(a) = b <=> a = 10^b
log(2x-2) = 7 <=> 2x-2 = 10^7 <=> 2x = 2 + 10^7 <=> x = 1 + 0.5 * 10^7
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.
ASAP HELP NOW FOR BRAINLIEST
Answer: 18 miles per hour
Step-by-step explanation: The equation shows the slope as 18. This means that the unit rate per hour (t = number of hours) is 18/1.
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: