How many times bigger is a metric ton than a kilogram?
the answers are
A. 15
B. 14
C. 16
D. 19
Evaluate the expression and enter your answer in the box below. 8 + |10|
Misha’s family bought a large cattle farm. The number of acres of the cattle farm is the cube of the acres they used to own plus 10 acres. If a represents the number of acres the family used to own, which expression represents the number of acres they own now?
In a computer game, when choosing a character there are 5 choices for hair style, 3 choices for eye color, and 7 choices for outfits. How many different characters are possible if you were to choose 1 hair style, 1 eye color, and 1 outfit?
105
140
22
15
Gina mixed paint to make her favorite shade of purple. She filled up one third of the container with red paint. Then she filled the remaining space with 4 Liters of blue paint.How many milliliters of paint did Gina mix
in 2006, the population of a certain country per square mile of land was 81. In 2014, the persons per square mile was 85.24. assume the relationship between years, x, and persons per square mile,y, is a linear relationship
The population density in the country increased at a rate of about 0.53 persons per square mile each year between 2006 and 2014, demonstrating a linear relationship.
Explanation:You are looking at a linear relationship between years and population density in a particular country. Years are represented by 'x' and persons per square mile are represented by 'y'. To find the relationship, we need to identify the slope of the line, which represents the rate of change in population density per year.
To find the slope, we subtract the y-values and divide by the change in x-values: (85.24 - 81) / (2014 - 2006) = 0.53 persons per square mile per year.
This tells us that, on average, the population density in this country increased by about 0.53 persons per square mile each year between 2006 and 2014.
Learn more about Linear Relationship here:https://brainly.com/question/15070768
#SPJ12
The population density of the country increased at a linear rate of around 0.53 persons per square mile each year between 2006 and 2014.
Explanation:In this problem, we are dealing with a linear relationship between years(x) and persons per square mile(y). Here, we need to find the slope of the line to understand the rate at which the population density is increasing per year. The slope of a line in a linear relationship is given by the formula slope = (y2 - y1) / (x2 - x1). Here, (x1, y1) refers to the year and population density in 2006 which are (2006, 81) respectively, and (x2, y2) refer to the year and population density in 2014 which are (2014, 85.24) respectively.
Substitute these values into the formula:
Slope = (85.24 - 81) / (2014 - 2006)= 0.53 (approx).
So, the population density increase was about 0.53 persons per square mile per year between 2006 and 2014.
Learn more about Linear Relationships here:https://brainly.com/question/15070768
#SPJ12
Aimee is flying a plane for the first time! The air traffic controller tells her to fly at 500 m above the ground or higher. Write an inequality that is true only for elevations (h) at which Aimee should fly.
To represent the elevations at which Aimee should fly her plane, the inequality h ≥ 500 is used, where h represents Aimee's elevation in meters. This indicates that Aimee must fly at an elevation of 500 meters or higher, as per the air traffic controller's instructions.
Explanation:The question asks for an inequality that represents elevations at which Aimee should fly her plane, according to the instructions given by the air traffic controller. Aimee is told to fly at 500 meters above the ground or higher. To write this inequality, we let h represent the elevation (in meters) at which Aimee should fly. Therefore, the inequality that only allows for elevations 500 meters or higher is: h ≥ 500.
This inequality means that Aimee's elevation, h, should be greater than or equal to 500 meters. This is a simple linear inequality in one variable, which is a fundamental concept in algebra. Understanding how to represent real-world scenarios with inequalities is crucial in solving problems related to constraints and conditions that have a range of possible values.
Which function below has the following domain and range?
Domain:
{−9,−5,2,6,10}
Range:
{−2,0,8}
Select one:
a.
{(−2,−5),(8,10),(0,6),(−2,−9),(0,2)}
{(−2,−5),(8,10),(0,6),(−2,−9),(0,2)}
b.
{(−9,10),(−2,8)}
{(−9,10),(−2,8)}
c.
{(−9,−2),(−5,0),(2,8),(6,5),(10,9)}
{(−9,−2),(−5,0),(2,8),(6,5),(10,9)}
d.
{(2,0),(−5,−2),(10,8),(6,0),(−9,−2)}
{(2,0),(−5,−2),(10,8),(6,0),(−9,−2)}
Answer:
The correct option is d.
Step-by-step explanation:
Domain is the set of all possible inputs or the values of x and the range is value of output or y.
In option a,
The given function is
{(−2,−5),(8,10),(0,6),(−2,−9),(0,2)}
Domain = {-2,0,8}
Range = {-9,-5,2,6,10}
Therefore option a is incorrect.
In option b,
The given function is
{(−9,10),(−2,8)}
Domain = {-9,-2}
Range = {8,10}
Therefore option b is incorrect.
In option c,
The given function is
{(−9,−2),(−5,0),(2,8),(6,5),(10,9)}
Domain = {-9,-5,2,6,10}
Range = {-2,0,5,8,9}
Therefore option c is incorrect.
In option d,
The given function is
{(2,0),(−5,−2),(10,8),(6,0),(−9,−2)}
Domain = {-9,-5,2,6,10}
Range = {-2,0,8}
Therefore option d is correct.
About 15% of the population of a large country is allergic to pollenallergic to pollen. if two people are randomly selected, what is the probability both are allergic to pollen? what is the probability at least one is allergic to pollenallergic to pollen?
Answer:
(a) 0.0225
(b) 0.225
Step-by-step explanation:
It is given that 15% of total population is allergic to pollenallergic to pollen.
Thus, Probability of an individual s/he has allergy is 0.15
Thus, The probability that two person is selected and both has allergy is 0.15 × 0.15 = 0.0225
And the Probability that at least one person is suffered from allergy from that two person = P(allergic and non-allergic) + P(non-allergic and allergic)
⇒ 0.15 × (1 - 0.15) + (1 - 0.15) × 0.15
⇒ 0.15 × 0.85 + 0.85 × 0.15 = 0.225
Determine whether the formula describes y as a function of x. Explain your reasoning.
y = -x
What type of triangle has side lengths 2, √11, and √15? please leave details as to how you got to your conclusion im confused
Answer:
right triangle.
Step-by-step explanation:
The given length of the three sides of the triangle are
[tex]2,\sqrt{11},\sqrt{15}[/tex]
We will now check whether these three numbers are Pythagorean triple or not. If it is a Pythagorean triple then the triangle will be a right triangle.
Pythagorean triple:- If the sum of square of any two sides is equal to the square of the third side then the lengths are Pythagorean triple and the triangle is a right triangle.
Now, we do the below operation:
[tex]2^2+(\sqrt{11})^2\\\\=4+11\\\\=15[/tex]
Now, let us square the third side
[tex](\sqrt{15})^2\\\\=15[/tex]
Since, we got both values equal. Hence, the length of sides are Pythagorean triple.
And therefore, the triangle is right triangle.
y = 7x - 53 y = -4x + 35 a. ( -3, -8) c. ( -8, 3) b. ( 8, 3) d. No solution
Bret is starting a business selling handmade necklaces. He has decided to invest and initial amount of $387 for advertising and materials cost seven dollars for each necklace he makes. Bret can sell his creations for $10 per necklace.once he makes and sells a certain number of necklaces he will break even with identical expenses and sales. How many necklaces would that take? What would the total expenses and sales be then?
To break even, Bret would need to make and sell 40 necklaces, with a total expense of $15,760 and total sales of $400.
Explanation:To determine the number of necklaces Bret needs to make and sell to break even, we need to consider his initial investment and the expenses and sales associated with each necklace.
First, let's calculate the total expenses for each necklace: $7 (materials cost) + $387 (initial investment) = $394.
Next, let's calculate the total sales for each necklace: $10 (selling price).
To break even, the total expenses and total sales need to be equal.
Let n represent the number of necklaces:
Total expenses = $394 * n
Total sales = $10 * n
Setting the two equations equal to each other, we have: $394 * n = $10 * n.
Now, let's solve for n:
$394 * n = $10 * n
$394 = $10
n = 394 / 10
n = 39.4
Since we cannot sell a fraction of a necklace, Bret would need to make and sell 40 necklaces to break even.
The total expenses for 40 necklaces would be $394 * 40 = $15,760, and the total sales would be $10 * 40 = $400.
Factor the following.
The perimeter of a rectangular field is 376 yards. if the width of the field is 89 yards, what is its length?
Answer:
Step-by-step explanation:
The length of the field will be calculated as:
P=2(L+W)
P=376
W=89
thus substituting the values in the equation we get;
376=2(L+89)
376/2=(L+89)
solving for L;
188=L+89
L=188-89
L=99 yards
therefore the length is 99 yards
Keiko is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Keiko has been adding money. Suppose that x and y are related by the equation =20x+550=y .
* Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number.
What was the starting amount of money in the account?
What is the change per week in the amount of money in the account?
the starting amount would be the 550, because it doesn't have a variable assigned to it.
change per week is 20 since it is being multiplied by the number of weeks
The starting amount of money in the account was $550
The change per week in the amount of money in the account per week is by $20.
We have a equation - 20x+550=y
where -
x represent the number of weeks Keiko has been adding money and y represent the total amount of money in the account (in dollars).
We have to determine -
1). What was the starting amount of money in the account.
2). What is the change per week in the amount of money in the account.
What is the general equation of a straight line ?The general equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to question, we have -
20x+550=y
Rearranging the equation, we get -
y = 20x + 550, which is a equation of straight line with slope = 20.
Now, in order to calculate the starting amount of money in the account, put x = 0 above, we get -
y = 20 x 0 + 550 = $550
Money in the account during week 1 = M(1) = 20 x 1 + 550 = $570
Money in the account during week 2 = M(2) = 20 x 2 + 550 = $590
Change per week in the amount of money in the account = M(2) - M(1) = $590 - $570 = $20
Hence,
The starting amount of money in the account was $550
The change per week in the amount of money in the account per week is by $20.
To solve more questions on Word problems in Linear equations , visit the link below -
https://brainly.com/question/17213039
#SPJ2
The speed of light is about nine hundred eighty million feet per second. What is that speed in scientific notation?
Answer:
The answer is 9.8*10^8
i think
Step-by-step explanation:
Given the parent function of f(x) = x3, what is the value of k in the translated graph of f(x − h) + k?
we have
[tex]f(x)=x^{3}[/tex]
we know that
The point [tex](0,0)[/tex] in the graph of f(x) is the point [tex](3,2)[/tex] in the translated graph
so
The rule of the translation is
[tex](x,y)----> (x+3,y+2)[/tex]
That means
The translation is [tex]3[/tex] units to the right and [tex]2[/tex] units up
The equation of the translated graph is equal to
[tex]f(x)=(x-3)^{3}+2[/tex]
therefore
The answer is
the value of k is equal to
[tex]k=2[/tex]
see the attached figure to better understand the problem
Answer:
k=2
Step-by-step explanation:
I just did the assignment
Petrolyn motor oil is a combination of natural oil and synthetic oil. it contains 5 liters of natural oil for every 6 liters of synthetic oil. if 498 liters of synthetic oil are used, how many liters of petrol oil will be made
the discriminant of a quadratic equation is negative. one solution is 2+3i. what is the other solution?
Answer:
2-3i
Step-by-step explanation:
Mind helping a brother here! 20 points! Thanks!
Which of the following indicates that the roots of a quadratic are irrational
a) discriminant is zero
b) discriminant is negative
c) discriminant is rational
d) discriminant is prime
What is the range of the function y=2sin x
Answer:
Range: [-2, 2] {y | -2 ≤ y ≤ 2}
Step-by-step explanation:
The given function is y = 2sinx
We have to find the range of the given function.
Since at y-axis sine function has the variance between -1 to 1 so range of y = sinx is [-1, 1]
and if the amplitude of sine function is 2 then sine function will vary from -2 to 2 which implies that range of y = 2 sinx will be [-2, 2]
So range of y = 2sinx is [-2, 2]
The range of the function y=2sin x is mathematically given as
dy=(-2,2)
What is the range of the function y=2sin x?Question Parameter(s):
function y=2sin x
Generally, the equation for the wave is mathematically given as
[tex]y(x,t)=Asin(kx−wt+\phi)[/tex]
Therefore, Comparing both equations
y(x,t)=Asin(kx−wt+\phi)
y=2sin x
We have
A=2
In conclusion, The range of a function y=2sin x is simply defined as the probable outcomes, with x values as independent factors.
Hence, with sinx having min and max values at (-1,1)
The y value range will be
dy=(2(-1),2(1))
dy=(-2,2)
Read more about Wave
https://brainly.com/question/23271222
If an eagle and a bumblebee are traveling at 8 km/hr, which has more momentum explain
A plane left Atlanta at 11:30 a.m. and flew to an airport near Boston. The plane was due at Boston at 3:15 p.m. The plane arrived 25 minutes late. The time of the trip was?
Answer: 4 HOURS AND 10 MINUTES
Step-by-step explanation:
1 HOUR IS 60 MINUTES.
60X4=240 MINUTES
240 MINUTES+10 MINUTES=250 MINUTES
250 MINUTES=4 HOURS AND 10 MINUTES.
The time elapsed during the trip is 4 hours 10 minutes.
Given that,
The plane left Atlanta at 11:30 a.m. and flew to an airport near Boston.
The plane was due at Boston at 3:15 p.m.
In mathematics, it deals with numbers of operations according to the statements.
Since A plane takes off from Atlanta at 11:30 a.m. and landed at Boston airport at 25 minutes later than the actual time of arrival.
The time of arrival was 3:15 PM but because of the delay, at 3:40 the plane landed at Boston airport. For 3:40 pm we have 15:40 on a 24-hour clock. So,
The time elapsed = 15:40 - 11:30
= 4 : 10
Implies 4 hours 10 minutes
Thus, the time elapsed during the trip is 4 hours 10 minutes.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
A furniture factory makes 5 recliners for every 3 couches. If the factory makes a total of 56 recliners and couches in a day, how many recliners were made? Select the correct proportion to solve this problem.
Write the equation of the line with a slope of 4 that contains the point (5, 8).
Select one:
a. y=4x−27
b. y=4x−12
c. y=4x+28
d. y=4x+8
the raptors have lost 5 out of their last 11 games.They have not had any ties or forfeits. What is The ratio of wins to losses for the raptors?
Answer: 6:5
Step-by-step explanation:
Given: The total number of games played by raptors = 11
The number of games lost by them = 5
Then, the number of wins = 11-5=6
We know that the ratio of A to B is given by :-
[tex]A:B[/tex]
Similarly, the ratio of wins to losses for the raptors is given by :-
[tex]\text{Number of wins: Number of losses}\\\\=6:5[/tex]
Hence, the ratio of wins to losses for the raptors = 6:5
Answer:
B
Step-by-step explanation:
If 5 executives attend a meeting and all shake hands before and after the meeting, how many handshakes occur?