At market a , 1-lb packages of rice are sold for $2. at market b rice is sold in bulk for $2/lb. for each market write a function describing the cost of buying rice in terms of the weight. how are domains of the 2 functions different?
The domains from the two functions are different according to the change in quantity.
What are domains?The domain is a term in math to define the set of values that we can plug into a function.
The natural numbers domain is when we use a natural number such as 1, 2, 3, etc. The natural number domain will use if the function only allows the change in quantity in natural number. Market A uses this.
The real number domain is when we use a real number such as 1, 2, 2.4, etc. The natural number domain will use if the function only allows the change in quantity in real numbers. Since market B is selling rice in bulk based, it will be easier to use the real number domain.
Thus, the two functions have the same value with different domain because market A use natural number and don't allow fraction, but market B since it sells rice in bulk so it allows fraction and uses a real number.
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What percentage of the measurements in the data set lie to the right of the median? ___ % What percentage of the measurements in the data set lie to the left of the upper quartile? ___ %
To answer this question, we need to know the median and upper quartile of the data set. Once we have these values, we can determine what percentage of the data falls to the right of the median and to the left of the upper quartile.
Let's say the median of the data set is 50 and the upper quartile is 75. To find the percentage of measurements to the right of the median, we need to look at the data values that are greater than 50 and divide that number by the total number of measurements. Let's say there are 40 data values greater than 50 and a total of 100 measurements.
Then, the percentage of measurements to the right of the median would be:
(40/100) x 100% = 40%
To find the percentage of measurements to the left of the upper quartile, we need to look at the data values that are less than or equal to 75 and divide that number by the total number of measurements. Let's say there are 60 data values less than or equal to 75 and a total of 100 measurements. Then, the percentage of measurements to the left of the upper quartile would be:
(60/100) x 100% = 60%
Your answer:
1. 40% of the measurements lie to the right of the median.
2. 60% of the measurements lie to the left of the upper quartile (Q3).
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A wheel barrow with several bricks weighs more than a wheel barrow with just a few bricks. Rewrite the sentence in the format below and identify the variables. ______________ depends on ________________ What is the independent variable and the dependent variable?
Answer:
Step-by-step explanation:
The laden weight of a wheelbarrow depends upon the number of bricks one puts into it. This weight is the dependent variable and the number of bricks is the independent one.
The cause is the independent variable, while the effect is the dependent variable. The weight of the wheelbarrow depends on the number of bricks.
What are the Independent variable and dependent variables?The cause is the independent variable. Its value is unaffected by the other factors in your research.
The effect is the dependent variable. Its value fluctuates as the independent variable changes.
The sentence can be completed as,
The weight of the wheelbarrow depends on the number of bricks.
The Independent variable is the number of bricks, while the dependent variable is the weight of the wheelbarrow.
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ABC=40 and Bd is angle bisector of ABC what is ABD= ?
Answer:
20
Step-by-step explanation:
40 ÷ 2 = 20
its 20 since BD is an angle that bisects " divdes " angles in half.
The measure of angle ABD is 20 degrees and this can be determined by using the properties of the angle bisector.
Given :
ABC = 40 and BD is the angle bisector of angle ABC.
The following steps can be used in order to determine the angle ABD:
Step 1 - According to the given data, BD is the angle bisector of angle ABC.
Step 2 - An angle bisector bisects the angle into two equal parts.
Step 3 - So, the measure of angle ABD is calculated as:
\(\angle ABD = \dfrac{\angle ABC}{2}\\\\ \angle ABD = \dfrac{40}{2}\\\\ \angle ABD = 20^\circ\)
So, the measure of angle ABD is 20 degrees.
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three students conduct the same survey about the amount of water people drink daily. the results of the number of people who drink at least 64 ounces are shown
survey of people who drink at least 64oz. of water a day
Joes reported that 14 of the 36 people he surveyed drink at least 64oz. of water
Nicole reported that 2/5 of the people she surveyed drink at least 64oz. of water
Douglas reposted that 0.55 of the people he surveyed drink at least 64oz of water
in which person's survey did the most people drink at least 64 ounces of water?
The person's survey that the most people drink at least 64 ounces of water is Douglass.
How to illustrate the information?In the first case, Joes reported that 14 of the 36 people he surveyed drink at least 64oz. of water. This will be:
= 14/36
= 0.389
Nicole reported that 2/5 of the people she surveyed drink at least 64oz. of water. The decimal will be:
= 2/5
= 0.40
Douglas reposted that 0.55 of the people he surveyed drink at least 64oz of water.
From the information, Douglass has the highest decimal.
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(For #8 -9) Choose ONE of the application problems below and solve it using a system of 2 equations.
Remember - word problem, word answer.
8. The high school FFA is selling fruit. Together, Kay and Ayan sell a total of 25 boxes. Kay sells 13 less than Ayan.
How many boxes does each girl sell?
Define your variables:
X =
Y =
boxes.
boxes, and Ayan sold
Kay sold
Answer:
Kay sold 6 boxes and Ayan sold 19 boxes
Step-by-step explanation:
Let x be the number of boxes sold by Kay and
Let y be the number of boxes sold by Ayan
Then according to given statements, the equations will be:
\(x+y = 25\ \ \ Eqn\ 1\\x = y-13\ \ \ Eqn\ 2\)
Putting x = y-13 in equation 1
\(y-13+y = 25\\2y-13=25\\2y=25+13\\2y = 38\\\frac{2y}{2} = \frac{38}{2}\\y = 19\)
Putting y = 19 in equation 2
\(x = 19-13 = 6\)
So we get x=6 and y=19
Hence,
Kay sold 6 boxes and Ayan sold 19 boxes
What is the y-coordinate of the solution of the system?
3x−y=22
y= x−14
The y-coordinate of the solution of the system is -10.
What is the linear equation?
A linear equation is an equation that describes a straight line in a two-dimensional space. It is a mathematical expression that relates two variables, usually x and y, such that one variable is a function of the other. The general form of a linear equation is:
y = mx + b
To find the y-coordinate of the solution of the system:
3x - y = 22 ...(1)
y = x - 14 ...(2)
We can substitute the expression for y from equation (2) into equation (1) to eliminate y:
3x - (x - 14) = 22
Simplifying this equation:
3x - x + 14 = 22
2x + 14 = 22
Subtracting 14 from both sides:
2x = 8
Dividing both sides by 2:
x = 4
Now we can substitute x = 4 into equation (2) to find the corresponding value of y:
y = x - 14
y = 4 - 14
y = -10
Therefore, the y-coordinate of the solution of the system is -10.
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Can anybody help me with this please
Answer: y = 2x³ + 1 . non-linear
y = 3x . linear
y = x/5 linear
Step-by-step explanation:
The attachment shows graphs of the three equations. If the line is straight, the equation is linear. If it curves, it is not linear.
Equations with exponents are not linear.
What can be concluded about the line represented in the table? Check all that apply.
X-6,2,8
Y-7,-3,0
The slope is 2.
The slope is 1/2.
The y intercept is 4.
The y intercept is 8
The points (-2,-5) and (8,0) are also on the line
The points (-5,-2) and (1,10) are also in the line.
Answer:
The slope is 1/2The points (-2,-5) and (8,0) are also on the lineStep-by-step explanation:
According to the table there are ordered pairs:
(-6, - 7), (2, - 3), (8, 0)Find the slope using two points:
m = (- 3 - (-7)) / (2 - (-6)) = 4/8 = 1/2Use one point to complete the equation:
y - (-7) = 1/2(x - (-6))y + 7 = 1/2x + 3y = 1/2x - 4So the slope is 1/2 and the y-intercept is (0, - 4)
Verify the points (-2, -5), (- 5, -2), (1, 10):
-5 = 1/2(-2) - 4 ⇒ - 5 = - 1 - 4 ⇒ - 5 = - 5, yes-2 = 1/2(-5) - 4 ⇒ - 2 = - 2.5 - 4 ⇒ - 2 = - 6.5, no10 = 1/2*1 - 4 ⇒ 10 = 0.5 - 4 ⇒ 10 = - 3.5, noNow, correct answer choices are:
The slope is 1/2The points (-2,-5) and (8,0) are also on the lineThe number of calories burned y
after x
minutes of kayaking is represented by the linear function y=4.5x
How many more calories are burned by doing the activity in part (a) than the other activity for 45 minutes?
The number of calories burned y after x minutes of kayaking is
How to find the number of calories burned y?You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight
For kayaking Linear function is y=4.5x
In 45 minute means x=45
so, y=4.5x
45*45
= 20.25
That means in kayaking will burnt 20.25 calories in 45
minutes
Therefore, hiking burns more calories.
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Classify the quadrilateral whose vertices are: A(3,2); B(0,5); C(-3,2); D(0,-1)x Select all that apply
Solution
- We can plot the coordinates given using a graphing calculator as shown below:
- From the above, we can see that the sides are equal and the looks like a diamond
- Thus, the quadrilateral is a Rhombus
- Since all the angles are 90 degrees, it is also a square only that it was rotated.
- A square is a special type of rectangle, thus, the shape is also a rectangle
- A parallelogram as its opposite sides parallel and opposite angles equal. This is the same with our figure. Thus, it is also a parallelogram
James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is 10 out of 50. The theoretical probability of event A happening is 1 out of 4. Which action is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer? removing the last 10 trials from the experimental data completing the experiment many more times and combining the results to the trials already done including a fifth possible outcome performing the experiment again, stopping immediately after each event occurs once
Answer:
Completing the experiment a few more times and combining the results to the trails already done.
Answer:
Completing the experiment a few more times and combining the results to the trails already done.
Step-by-step explanation:
hamid is playing a trivia game with multiple choice questions. each question has 222 correct answers among 555 answer choices. hamid has no idea what the answers to a certain question are, so he needs to choose two different answers at random. what is the probability that hamid guesses both answers correctly? round your answer to two decimal places.
10 is the probability that hamid guesses both answers correctly .
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
the likelihood that Hamid will correctly guess both answers
= 2/5x1/4 = X
= 0.4x0.25 = X
= 0.1 = X
= 0.1x 100 = 10
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Answer ASAP, will give brainliest
Answer:
cge
Step-by-step explanation:
Billy is running away from a Wells Fargo bank at a speed of 13 kilometers per hour (units are km/h ). If the distance between the bank and the border to Mexico is 1.9 km, will he be able to get there before the cops arrive in 9 minutes? How long will it take for him to reach the border? (Hint: speed = distance / time, 1 hour =60 minutes )
No, Billy will not be able to reach the border before the cops arrive in 9 minutes.
To determine whether Billy can reach the border before the cops arrive, we need to calculate the time it would take him to cover the distance of 1.9 km.
Using the formula speed = distance / time, we can rearrange the formula to solve for time. Rearranging, we have time = distance / speed.
Given that Billy's speed is 13 km/h, we can calculate the time it would take him to cover 1.9 km.
time = 1.9 km / 13 km/h = 0.146 hours
To convert hours to minutes, we multiply by 60:
0.146 hours * 60 minutes/hour = 8.76 minutes
Therefore, it would take Billy approximately 8.76 minutes to reach the border. Since the cops are expected to arrive in 9 minutes, he would not be able to make it before they arrive.
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is it true?
32.55 rounds to 32
Answer:
False. 32.55 rounds to 33
Step-by-step explanation:
If the number after the decimal is larger than 4, then you round up.
Answer:
This isn't true.
Step-by-step explanation:
This isn't true because the fives (5) in 32.55 causes the number to be rounded up to 32. If this doesn't make sense, please message me and I can help you further!
what is this ?? 1/3 of 12=
Answer:
i think it's 4 because 12 divided by 3 is 4
Answer: 4
Step-by-step explanation:
multiply 12 by 1/3 to get 12/3
divide 12 by 3 to get 4!
hope this helps!
Dante deposited $5,000 into an account with an annual interest rate of
3.5%. He plans to deposit an additional $200 each year, just after the
interest is compounded. How much money will Dante have after 4 years?
(round to the penny)
Dante will have $5872.50 after 4 years, when compounded $5,000 into an account with an annual interest rate of 3.5%.
What is interest rate?Simply put, interest is the cost of borrowing money, whether it be through a student loan, a mortgage, or a credit card. When you borrow money, you typically have to pay it back along with interest that is calculated as a percentage of the loan amount. There are a few exceptions, such as when you pay off your credit card balance in full each month or when you have a promotional 0% interest rate.
You might be eligible for lower interest rates if prospective creditors and lenders view your track record of responsible credit behaviour and view you as a low-risk borrower.
The compound interest formula is given by
\($A = P(1 + \frac{r}{n})^{nt}\)
\($A = P(1 + \frac{r}{n})^{nt}\)
Where,
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Here,
A = to find
P = $5,000
r = 3.5%
n = 1
t = 4
Putting the values in the formula
First year
\($A = 5000+ 200(1 + \frac{0.035}{1})^{1}\)
2nd year
\(A = 5207+200(1 + \frac{0.035}{1})^{2}\)
3rd year
\(A = 5421.245+200(1 + \frac{0.035}{1})^{3}\)
4th year
\(A = 5643+200(1 + \frac{0.035}{1})^{4}\)
A = $5872.50
Thus, Dante will have $5872.50 after 4 years, when compounded $5,000 into an account with an annual interest rate of 3.5%.
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Given j(-8,-5) and l(6,-11) if k(r-4,2s) is the midpoint of jl which correctly gives the values of r and s?
The values of r and s is -1 and -4 respectively.
Given that:-
coordinates of j are (-8,-5)
coordinates of l are (6,-11)
coordinates of k are (r-4,2s)
Also, k is the mid-point of jl.
We have to find the values of r and s.
We know that, for (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).
Here,
(x,y) = (-8.-5)
(z,w) = (6,-11)
(r-4,2s) = ((x+z)/2,(y+w)/2)
Hence,
(r-4,2s) = ((-8+6)/2,(-5-11)/2)
(r-4,2s) = (-1,-8)
Comparing the coordinates, we get:-
r - 4 = -1
r = -1+4 =3
2s = -8
s =-8/2 = -4
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How do you solve equations with unknown graphical designs and the use of operational symbols?
Answer:
WEEWOO NICE QUESTION
Step-by-step explanation:
Two gardeners are planting apple trees in an orchard. Their boss asked them to make every tree 6 feet apart. The gardeners want to ensure they are following the boss’s orders. We can assume the trees can be represented on a coordinate grid where the distance in between every unit is exactly 2 feet, meaning between (0,0) and (1,0) is exactly 2 feet. The first tree is planted at (-2,-6) and the second tree is planted at (0,-4). They are concerned they did not fulfill their boss’s request. How far apart, in feet, are the two trees? Round your answer to the nearest tenths place.
To find the distance between the two trees, we can use the distance formula:
distance = √((x2-x1)^2 + (y2-y1)^2)
where (x1,y1) and (x2,y2) are the coordinates of the two trees.
Using this formula, we have:
distance = √((0 - (-2))^2 + (-4 - (-6))^2)
= √(2^2 + 2^2)
= √8
≈ 2.83
Therefore, the two trees are approximately 2.83 feet apart.
Euclid Street is parallel to Lambert Street. City Hall is
located between the streets. From City Hall, a straight
road leads to Euclid Street, intersecting it at a 51°
angle. Another straight road leads to Lambert Street,
intersecting it at a 37° angle. Find X. EXPLAIN and
show your method.
Answer:
88
Step-by-step explanation:
Imagine a line through City Hall parallel to the given streets. The angle between that and the path to Euclid Street is 51°, congruent with the alternate interior angle marked 51°.
The angle between our imaginary line and the path to Lambert Street is 37°, congruent with the alternate interior angle marked 37°.
The value of x° is the sum of those two angles:
x° = 51° +37°
x = 88
__
Alternate solution
If you extend the path to Euclid Street until it intersects Lambert Street, the alternate interior angle theorem tells you the angle it makes with Lambert Street is 51°. The angle x° is an external angle to the triangle that now has 51° and 37° as remote interior angles. As such, x is the sum of 51 and 37:
x = 51 +37 = 88
-4x - 3(2 - 2x) = 7 + 2x
Answer:
No solution
Step-by-step explanation:
Hoped this helped! :)
A factory that makes gaming systems selects 250 random systems to check for defects. They find that 25 out of the gaming systems were defective and had to be discarded.
How many gaming systems out of 3000 should the factory predict will be defective?
Answer:
300
Step-by-step explanation:
How do you solve 859/3 in 5 steps
Answer:
286.333
Step-by-step explanation:
Find it doing long division...
College Algebra Applied Problem Four A medical professional is helping an individual balance their diet. The individual has asked for some certain foods to remain in their diet. They will always get 600 calories from carbohydrates. The individual says that they can be flexible about how many calories they consume in fats and proteins. The goal of the diet is to keep the individual at 1,800 calories per day ( 600 of which come from carbohydrates). Part One Write an equation that models the amount of calories from fats " f ' and protein "p" that the individual can consume in order to reach 1,800 calories. Part Two The diet being prescribed to the individual calls for calories from protein to be three times the calories from fat. Write an equation based on this information that relates calories from protein "p" to calories from fat " f ". Part Three Use your equations from parts "b" and "c" to solve this system of equations and determine the amount of calories that the individual should consume from fats and proteins. Part Four If the individual no longer required 600 calories from carbohydrates, and instead said that they would be flexible about how many carbohydrates they would consume, how many variables would there be for this problem on calories?
The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.
To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.
Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.
To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.
Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.
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in triangle pqr, angle p = 37 ∘ p=37∘, side p = 45 p=45 cm, and side q = 85 q=85 cm. find all possible measures for angle q.
Thus, angle q can either measure approximately 65.1 degrees or approximately 114.9 degrees.
To find all possible measures for angle q in triangle PQR, we can use the Law of Cosines:
c^2 = a^2 + b^2 - 2ab cos(C)
where c is the length of the side opposite the angle we are trying to find (in this case, side q), and a and b are the lengths of the other two sides.
Plugging in the given values, we get:
85^2 = 45^2 + b^2 - 2(45)(b) cos(37°)
Simplifying and solving for b, we get:
b = 81.5 cm or b = 128.5 cm
However, we can only accept the solution b = 81.5 cm since the other value (b = 128.5 cm) would result in side b being longer than side c (which is not possible in a triangle).
So, the possible measures for angle q are:
q = 65.1° or q = 114.9°
Therefore, angle q can either measure approximately 65.1 degrees or approximately 114.9 degrees.
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100 points + brainliest for answering correctly, show the work:
(((2367^2 times 12) / -6) - 186734) + ((568531 + 1376^3) times 30)
Answer:
7816422510
Step-by-step explanation:
(((5602689*12)/-6) - 186734) + ((568531+2605285376)*30)
((67232268/-6) - 186734) + (2605853907*30)
( -11205378 - 186734) + 78175617210
−11392112 + (78175617210)
= 7816422510
The table shows how the 515 students at
West Middle School get to school. About
how many of the students walk to school?
Method
Bus
Car
Walk
Percent of Students
53%
21%
26%
Answer:
134
Step-by-step explanation:
26% of 515
.26 x 515 = 133.9 I cannot have .9 of a person. Round to 134
how do i determine the dimensions of a rectangle