9514 1404 393
Answer:
4.17 hours
Step-by-step explanation:
The speed of light is about 670,616,629.4 miles per hour, so the travel time to Neptune is ...
(2,798,842,000 mi)/(670,616,629.4 mi/h) ≈ 4.17 h
It takes about 4.17 hours for light to travel from the sun to Neptune.
Write the domain and range of the function as an inequality
Domain = [tex]-\infty < x < +\infty[/tex]
Range = [tex]y \le -4[/tex]
======================================
Explanation:
The arrows on the graph indicate it goes on forever in both left and right directions. So the domain is the set of all real numbers and as an inequality, we write [tex]-\infty < x < +\infty[/tex] which is the same as saying [tex]-\infty < x < \infty[/tex]
This says x is between negative infinity and positive infinity.
In set builder notation, we would say [tex]\{x | x \in \mathbb{R}\}[/tex] and in interval notation, we would write [tex](-\infty, \infty)[/tex]
As you can probably see, the domain is the set of all possible x inputs of a function.
--------------------------
The range is the set of all possible y outputs of a function.
The largest output is y = -4 which is where the vertex is located.
There is no smallest y value as the arrows point down, and the graph goes forever in that direction.
So we say the range is [tex]-\infty < y \le -4[/tex] which shortens to [tex]y \le -4[/tex]
The range in set builder notation is [tex]\{y | y \in \mathbb{R}, \ y \le -4\}[/tex]
The range in interval notation is [tex](-\infty, -4][/tex] The square bracket says to include the endpoint, while the parenthesis excludes the endpoint.
In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.
Answer:
yes
Step-by-step explanation:
These are like terms because they have the same variables and powers. The coefficients do not need to match for it to be considered a like term.
Answer:
Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.
Step-by-step explanation:
Mexico City, Mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. Its population in 1991 was 20,899,000 people. Use the formula P = 20.899e^0.032t to predict its population P in millions with t equal to the number of years after 1991. What is the predicted population to the nearest thousand of Mexico City for the year 2010?
Answer:
Predicted population of Mexico City in year 2010 = 38386000
Step-by-step explanation:
Formula to be used for the population of Mexico,
P = 20.899[tex]e^{0.032t}[/tex]
Where t = Duration after year 1991
P = Final population
Number of years between 2010 and 1991 = 19 years
Predicted population of Mexico city after 2010 = 20.899[tex]e^{0.032\times 19}[/tex]
= 20.899 × (1.8368)
= 38.38633 million
= 38.386 million
Therefore, predicted population of Mexico City in year 2010 = 38386000
Answer:
38386000
Step-by-step explanation:
got it right on edge
A store sells 2 printers for every 5 computers the store sells 40 computers how many printers dose the store sell
Which statement(s) apply to stratified random sampling? Check all that apply.
A) It can provide better estimates than a simple random sample.
B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.
C) A challenge is that it is necessary to have strata of the same size.
D) Creating strata of similar individuals to sample from reduces variability.
E) It can be difficult to obtain with a very large population.
Answer:
The correct options are;
A) It can provide better estimates than s simple random sample
B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study
E) Creating strata of similar individuals reduces variability
Step-by-step explanation:
In order to reduce the variance in the population being studied the stratified sampling technique is used which consists of separating the given sample from the population into different strata based on known characteristics and finding out the result of the experiment in each strata. Each strata posses a common or shared attribute such as educational level or total level of income.
The statements that apply to stratified random sampling are;
A) It can provide better estimates than a simple random sample.
B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.
D) Creating strata of similar individuals to sample from reduces variability.
E) It can be difficult to obtain with a very large population.
Stratified random sampling is a method of sampling from a population that involves dividing the entire population into homogeneous groups that called strata.
The way it is done is that a random sample from each stratum is usually taken in a number that proportional to the size of the stratum if we compare it to the population size.
From the definitions above, the options that apply are, A, B, D and E.
Read more about stratified random sampling at; https://brainly.com/question/1954758
subtract from both sides -6- (8.4) =1.2x +8.4 - (8.4)
Answer: -6- (8.4) =1.2x +8.4 - (8.4)
X = - 12
A blouse that is size x in country A is size s(x) in country B, where s(x)x. A blouse that is size x in the country B is size t(x) in country C, where t(x)x. Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
Answer:
f(x) = [k(x): x = s(x) = t(x)]
Step-by-step explanation:
To make the question clearer, rewrite;
A blouse that is size x in country A is size s(x) in country B.
s(x) = x
A blouse that is size x in country B is size t(x) in country C.
t(x) = x
Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
f(x) = [k(x): x = s(x) = t(x)]
Interpretation:
f of x is equal to k of x such that x is equal to s of x which is also equal to t of x.
Where the other blouse sizes are represented by k(x) or as a function of the given size x.
PLS HELP ILL MARK YOU BRAINEST DUE SOON
Answer:
A, B, C, D or simplify all of them
Step-by-step explanation:
Answer:
all 4 of them
Step-by-step explanation:
a. 29x + 92 = 29x - 11
0x + 92 = -11
0x ≠ -103
b. 29x + 11 = 29x - 11
0x + 11 = -11
0x = -22
0 ≠ -22
c. 29x - 29 = 29x - 11
0x = 18
0 ≠ 18
d. 29x + 29 = 29x - 11
0x + 29 = -11
0x = -40
0 ≠ 40
Write the equation of a line with slope 2 and y-intercept −1.
Pls I need help with this quick
Answer:
[tex]y=2x-1[/tex]
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
The question provides both the slope m=2 and the y-intercept b=-1.
Thus, substituting:
[tex]\boxed{y=2x-1}[/tex]
PLEASE HELP!!! I WILL GIVE BRAINLIST!
Answer:
Ok
Step-by-step explanation:
What’s the question
what is the slope of the line that passes through the points (5, -11) and (-9,17)?
1.) 9x + 2x - 5x + 7 - 6
Answer:
6x+1
Step-by-step explanation:
9x+2x-5x+7-6
11x-5x+7-6
6x+1
Awnser: 6x+1 :D
What you do is you split it in half so 9x plus 2x is 11x minus 5x is 6x. 7-6 is 1. Put them together and you get 6x+1
IF YOU CAN GET THIS YOU CAN GET SOME POINTS HURR BRAINLIEST IS WAITING!!!!!
My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house? MY HOUSE NUBER IS 19
Answer:
21 or 12
Step-by-step explanation:
Suppose, the number of one of the houses is “xy”, whose numerical value = (10x + y).
So, the number of the other house is “yx”, whose numerical value = (10y + x).
Let, “xy” > “yx”.
Now, difference of house numbers = {(10x + y) - (10y + x)} = {9 * (x - y)}; so the difference is a multiple of 9.
Now, the smallest positive number, divisible by 9, that ends with 2 is 72 = (9 * 8).
So, (x - y) = 8.
Since, 0 ≤ x, y ≤ 9; so, there are two solutions in hand:
I) x = 8, y = 0……………………..this makes the house numbers: “80” and “08”.
II) x = 9, y = 1…………………..this makes the house numbers: “91” and “19”.
So, the lowest possible numbers of the houses are “80” and “8” (not “91” and “19”).
A single digit number can not have its reverse number. hence 10,20,30,40,50,60,70,80 and 90 can not be the house number
Reverse of these numbers is same, hence 11,22,33,44,55,66,77,88 and 99 can not be the house number
For other reverse numbers the difference will be in multiples of 9 like 9,18,27,36,45,54,63,72,81
As the difference between house numbers ends in two, the lowest possible numbers of our house are 19 and 91
When 0 (zero) also considred as part of house number, the lowest possible numbers of our house are 08 and 80
Help asap!!
Jenny predicted that she would sell 12 bracelets, but she actually sold 16 bracelets. Which expression would find the percent error? Use the table below to help answer the question.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Bracelets
12
16
–4
4
-4/12(100)
-4/12
4/16
4/16(100)
4/16(100)
Step-by-step explanation:
Answer:
4/16(100)
Step-by-step explanation:
Several English professors categorized the literary works from their
seminars by time period and length, as shown in the table. According to
the table, what percent of the literary works with 500 or more pages are
from the 19th century?
Answer:
358
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
Select ALL graphs that do NOT represent a function.
Answer:
3 and 5
Step-by-step explanation:
If you do the vertical line test those ones do not pass. The vertical line test is the test you do to see if it is a function. You draw a vertical line and if that line crosses the graphed line only once it is a function.
Can someone help me create a slope story???
Answer:
I was walking home which I had to go up a hill I wanted to stop by the gas station which was a small hill upwords went back down that hill and the big hill to reach home.
Step-by-step explanation:
y axs = elavation
x axs = time
Hope that helped a little I need to do my hw but seen you needed help sorry if I did not help :(
Mr. Friedline is an incredible gardener. He has a
rectangular plot of land that he uses for his garden in his
backyard that measures 74.52 square feet. Recently,
animals have been getting into his garden, so he wants to
put up a fence around the garden. At the Home Depot, the
fence will cost $8.95 for each foot he needs. If the length
of the garden is 8.1 feet, how much will it cost Mr. Friedline
to put a fence around his garden?
Answer:
8.1 x 8.95 = 72.495
Step-by-step explanation:
Feet x $f = $$$
Tell whether the equation has one, zero, infinitely many solutions.
3 ( y-2) = 3y - 6
infinitely many solutions
Step-by-step explanation:Hi there !
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 | + 6
3y = 3y
true ∀ y ∈ R
Good luck !
1. Which set of numbers includes the square root of 42?
a) irrational number
b) integers
c) rational numbers
d) whole numbers
2. What is the name of this set?
{ … -3, -2, -1, 0, 1, 2 3, …}
a) real numbers
b) integers
c) rational numbers
d) whole numbers
3. Which set does not include negative numbers?
a) real numbers
b) integers
c) rational numbers
d) whole numbers
4. Which of these equals an integer?
a) 12 ¸ 5
b) -12 ¸ 5
c) -15 ¸ 4
d) -15 ¸ 5
5. Which of these is closest to 150?
a) 12.2
b) 12.4
c) 14.2
d) 15
Answer:
C,B,D,A,D
Step-by-step explanation:
Write the slope intercept form of an equation for the line containing (0,-3) with slope -1.
Answer:
y=-x-3
Step-by-step explanation:
Formula (point slope): y-y1=m(x-x1)
y-(-3)=-1(x-0)
(distribute the -1)
y+3=-1x+0
(combine like terms)
y=-1x-3
2. Lauren is thinking about spending all of her allowance money to buy a new bike. If she has $224
and she can only afford of the price of the bike, how much does the bike cost?
Answer:
$224
Step-by-step explanation:
The bike costs $224
From the expression of the problem, we know that she used all her money to buy the bike.
That means;
Allowance money = bike cost
Therefore, the cost of the bike is $224
What is the equation for the line that is parallel to y = 5x + 8 and passes through the point (2, 16)?
Answer:
y=5x+6
Step-by-step explanation:
The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (2, 16).
And, The parallel line is,
⇒ y = 5x + 8
Now,
Since, The equation of line passes through the point (2, 16).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = 5x + 8
m = dy/dx = 5
m = 5
Thus, The equation of line with slope 5 is,
⇒ y - 16 = 5 (x - 2)
⇒ y - 16 = 5x - 10
⇒ y = 5x - 10 + 16
⇒ y = 5x + 6
Therefore, The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as shaq. What is the total saved amount of all threw
10 is 6% of what
number?
Answer:
60
Step-by-step explanation:
10 × 6 is 60. if it asks the % of a number, you multiply the number by %
Answer:
60
Step-by-step explanation:
hope this helps
HELP PLS (picture below)
C
Because it will equal 5,260 but all the other are bigger
Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5
· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?
Answer:
$4,504.69
Step-by-step explanation:
Solve the inequality:
u^2 > 8u + 33
Answer:
u<−3 or u>11
Step-by-step explanation:
u2=8u+33
u2−(8u+33)=8u+33−(8u+33)(Subtract 8u+33 from both sides)
u2−8u−33=0
(u+3)(u−11)=0(Factor left side of equation)
u+3=0 or u−11=0(Set factors equal to 0)
u=−3 or u=11
Is this a function or no
Answer: Yes it is a function
Step-by-step explanation:
Answer:
YES
Step-by-step explanation: