When the y = f(x) and y = g(x) graphs intersect, the x and y values on both graphs are exactly the same.
What is the intersection point between two functions?Both graphs have the exact same x and y values when the y = f(x) and y = g(x) graphs cross. So, by figuring out the solution to the equation f(x) = g, we can determine the point or points of intersection (x). We may find the x value(s) of the intersection point(s) by solving this equation.
The (x,y) coordinate pairings for which the input, x, yields the same output value from both functions are known as the points of intersection of two functions, f(x) and g(x).
If A, B, and C are three sets, then all of the elements that are shared by A, B, and C are contained in the set formed by the intersection of these three sets. This can be illustrated as A, B, and C.
Let the two functions be
y = 2x + 1 and
y = x - 2
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Annabelle and Eric made 17ounce of pizza dough they ue 5/8 of the pizza dough to make pizza and ue the ret to make roll what i the difference between the amount of dough they ue to make pizza and the amount of dirty ue to make roll?
The difference between the amount of dough they use to make pizza and the amount of dirty use to make roll is 4.25 ounce. The result is obtained by using calculations in fractions.
How to count a set of objects using fractions?Fraction represents the part of a set of objects. It has two parts separated by a dividing line, namely numerator at the top and denominator at the bottom.
For example:
1/4 (one-fourth)2/5 (two-fifth)It means one of four parts and two of five parts.
Annabelle and Eric made 17 ounce of pizza dough.
5/8 of the pizza dough is used to make pizza.The rest is used to make roll.Find the difference between the amount of dough they use to make pizza and the amount of dirty use to make roll!
To make pizza, the pizza dough they use is
= 5/8 × 17 ounce
= 85/8 ounce
= 10.625 ounce
To make roll, the pizza dough they use is
= 17 - 10.625 ounce
= 6.375 ounce
The difference amount of the usage is
= dough to make pizza - dough to make roll
= 10.625 ounce - 6.375 ounce
= 4.25 ounce
Hence, the difference amount of dough to make pizza and dough to make roll is 4.25 ounce.
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Determine whether the statements are true or false.
if a system of m linear equations in n variables is equivalent to a system of p linear equations in q variables, then m = p.
True, equivalent systems of linear equations always have the same number of variables (you can never reduce the number of variables and keep an equivalent system).
If a system of m linear equations in n variables is equivalent to a system of p linear equations in q variables, then m = p is true then.
Number of variables = number of columns in the matrix.
Cramer's rule is one of the important methods applied to solve a system of equations. In this method, the values of the variables in the system are to be calculated using the determinants of matrices. Thus, Cramer's rule is also known as the determinant method.
Cramer's rule can only be applies if
1.the number of equations in the linear system equals the number of variables i.e m = n.
2.the determinant of the coefficient matrix is non zero.
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r packages include sample datasets. they also include reusable r functions and documentation about how to use the functions. 1 point true false
It is true that r packages include sample datasets. They also include reusable r functions and documentation about how to use the functions.
The r packages do contain reusable r functions and documentation about how to use the functions. Not only that but they also include the sample data sets and provide tests for checking the code that we have generated.
The r packages are distributed with fifteen base packages that include grid, method, compilers, base, datasets, tools, splines, graphics, stats, stats4, translations, utils, grDevices, parallel, and tcltk.
These r packages introduce simpler ways of the r code distribution and documentation.
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A nutritionist wanted to determine which of two behaviors would give people the most energy. She selected a sample of 50 adult participants.
For one month, the participants were asked to exercise for 30 minutes per day. For another month, they drank an energy drink every day. The order of the treatments were assigned to the participants at random.
The participants were asked to record each day when they completed their treatment and to rate their energy level that day on a scale of 1–10.
After the two months of treatments, the nutritionist collected the data and calculated and compared the mean change (exercise – energy drink) in energy level for all 50 participants.
Which statement about the randomization for the matched pairs design is correct?
A) For each participant, the nutritionist should flip a coin. If the coin lands on heads, the participant will be assigned to exercise during the first month and drink energy drinks during the second month. If the coin lands on tails, the participant will be assigned to drink energy drinks during the first month and exercise during the second month.
B) The nutritionist should place the names of the 50 participants on slips of paper and put them in a hat. She should then draw out 25 of the slips. Those participants will exercise for both months. The remaining 25 participants will drink energy drinks for both months.
C) The nutritionist should let the participants decide which treatment they would like to do first. That way, if they are too busy to exercise 30 minutes each day during the current month, they can save that treatment for the second month.
D) Because there are two treatments, exercise and drinking energy drinks, the nutritionist should divide the participants into 4 groups: 2 months of exercise, 2 months of energy drinks, 1 month of exercise followed by 1 month of energy drinks, and 1 month of energy drinks followed by 1 month of exercise. She can draw names from a hat to assign the participants to these 4 groups.
The statement which is correct for randomization for the matched pairs design is option (A).
What is meant by randomization?
Making something random is the process of randomization. Randomization is not haphazard; rather, a random process is a series of random variables representing a process whose results follow an evolution specified by probability distributions rather than a deterministic pattern.
A) In this option there are only two results, heads or tails. So the assigning is based on luck and is random
Also since both behaviours are covered by the people involved in both months, everyone is subjected to the test equally.
This statement about the randomization for the matched pairs design is correct.
B) Here all the participants are not treated fairly because only half people are subjected to exercising while the other half are assigned to have drinks for 2 months.
This statement is not correct.
C) This is not random as the participants are deciding for themselves.
This statement is also not correct.
D) In this also 2 groups has to participate in either of the challenges not both which does not make it fair.
This statement is also not correct.
Therefore the statement which is correct for randomization for the matched pairs design is option (A).
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calculer les produit suivant en ecritures scientifiques puis les classer dans l'ordre croissant:
a) 25 000 x 280 b) 30 000 x 850
c) 72 000 x 90 d) 330 x 850 000
Answer:
c < a < b < d
Step-by-step explanation:
a) 25000 x 280, c'est 7000000
ou 7 * 10^6
b) 30000 x 850, c'est 25500000
ou 25.5 * 10^6
c) 72000 x 90, c'est 6480000
ou 6.48 * 10^6
d) 330 x 850,000, c'est 280500000
ou 280.5 * 10^6
On peut dire que l'ordre croissant est:
6.48 * 10^6 < 7 * 10^6 < 25.5 * 10^6 < 280.5 * 10^6
∴ c < a < b < d
Voilà
i record the age, paint color, engine size and cost of 243 used cars in an online car dealership. the number of variables i have recorded is ?
The number of variables you have recorded for each of the 243 used cars in an online car dealership is 4.
A variable is a characteristic or attribute of an object or a set of objects that can be measured or recorded. In this case, you have recorded the age, paint color, engine size, and cost of each of the 243 used cars. Each of these characteristics represents a separate variable.
For example, the age of a car is a variable that can be measured or recorded, and it provides information about the car's history and how long it has been in use. The paint color, engine size, and cost of each car are also variables that can be recorded, and they provide additional information about each car's unique characteristics.
In total, you have recorded 4 different variables for each of the 243 used cars, so the number of variables is 4.
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a player rolls two fair six sided dice until the player rolls doubles. the probability of rolling doubles with one roll of two fair dice is 1/6, what is the probability that it takes 3 rolls until the player rolls doubles
The probability that it takes three rolls until the player rolls doubles is 25/216.
The probability of rolling doubles with one roll of two fair six-sided dice is 1/6.
The probability of an event is nothing but a number between 0 and 1, where zero shows the impossibility, and one shows the certainty.
First, determine the probability of rolls to obtain doubles in each roll.
Fails in the first roll:
P = 1 - 1/6 = 5/6
Fails in the second roll:
P = 1 - 1/6 = 5/6
In the third roll, the player rolls doubles, that is,
p = 1/6
Now, the probability of requiring 3 rolls until getting doubles will be:
= 5/6 × 5/6 × 1/6
= 25/216
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A frequency table of grade ha five clae (A, B, C, D, F) with frequencie of 3,12,14, 5,and 3 repectively. Uing percentage, what are the relative frequencie of the five clae?
The relative frequencies in percentage are:
A: (3 / 37) * 100 = 8.1%
B: (12 / 37) * 100 = 32.4%
C: (14 / 37) * 100 = 37.8%
D: (5 / 37) * 100 = 13.5%
F: (3 / 37) * 100 = 8.1%
Relative Frequency of GradesTo determine the relative frequencies in percentage, we first find the total number of data points. In this case, it is the sum of the frequencies of each grade: 3 + 12 + 14 + 5 + 3 = 37.
Next, we divide each frequency by the total number of data points and multiply by 100. This gives us the relative frequency of each grade as a percentage.
For example, the relative frequency of grade A is (3 / 37) * 100 = 8.1%, which means that 8.1% of the data points belong to grade A. Similarly, we can find the relative frequency of each of the other grades.
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The data below are the monthly average high temperatures for New York City. What is the median temperature?
40, 40, 48, 61, 72, 78, 84, 84, 76, 65, 54, 42
Based on the information above, the average temperature for New York City would be 61 or 65.
How to find the average temperature of New York?To find the average temperature of New York we must find the average of the temperatures recorded in each month. Here is the mathematical procedure:
To find the median we must organize the data from the smallest to the largest and identify the value or values that are located in the middle, then the median would be: 61 or 65.
40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84.According to the above, the average temperature would be 61° or 65°.
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Someone help fast please
Find the value of sin
W rounded to the nearest hundredth, if necessary.
Answer:
30 i believe
Step-by-step explanation:
a biologist is studying the depths of plants growing near the surface of the ocean he uses negeitive numbers to represent the depths of the plants he finds below sea level.the table shows the depths of four plants order the number from least to greatest
a) The data in ascending Order; -83/4 < -67/4 < -62/4 < -1/4.
b) Sea Grass is the furthest the Surface of water.
What is Ascending Order?Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.
Given that -20 3/4, -15 1/2, -14 3/4, -1/4
Now, the above fraction into Normal fraction;
-83/4, -31/2, -67/4, -1/4.
Now, Arranging the data in ascending Order;
-83/4 < -67/4 < -62/4 < -1/4.
b) Since Sea Grass is the furthest below the Surface of water.
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7t+10(5t+5)–10
can you help me with this question
Given the question:
7t+10(5t+5)-10
First, distribute:
7t+50t+50-10
Next, combine like terms (7t+50t and 50-10)
57t+40
This cannot be simplified further.
A triangle has an area of 4 3/4 square units. the base is 3 units, what is the height?
.
The required height of the triangle for 3 units base is 3.16 units.
How to find are of right angled triangle?If a right triangle's height and hypotenuse are all that are known, we must first determine the base using the Pythagoras theorem before determining the triangle's area. After that, we may calculate its area using the formula 1/2 base height.
According to question:We have,
Area of triangle = 4(3/4)square units., Base = 3 units.
= 19/4 square units.
We know that
Area = bh/2
19/4 = (3)h/2
h = 19/6
h = 3.16 units
Thus, required height is 3.16 units.
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18
18°
χ
Find the missing side. Round to the nearest tenth.
The missing side of Right triangle will be 9.8.
What is meant by Trigonometric angles?Angles in trigonometry are those determined by the ratios of the trigonometric functions. In trigonometry, the relationship between a triangle's angles and sides is studied. The angle value is between 0 and 360 degrees. Angles 0°, 30°, 45°, 60°, 90°, 180°, 270°, and 360° are significant in trigonometry.
A subfield of mathematics called trigonometry is concerned with the study of triangles. It is sometimes known by the colloquial term "trig." In trigonometry, mathematicians look at how triangles' sides and angles relate to one another.
We have,
Hypotenuse = 18 cm
Perpendicular = x cm
One of the angle = 33°
Using the Trigonometric angles,
[tex]$${Sin 33^{\circ}=\frac{\text { Perpendicular }}{\text { Hypotenuse }}$[/tex]
substitute the values in the above equation, we get
So, [tex]$${Sin} 33^0=\frac{x}{18}$[/tex]
simplifying the equation, we get
[tex]$$x=18 Sin 33^0$[/tex]
x = 9.8
The missing side is 9.8.
Therefore, the missing side of Right triangle will be 9.8.
The complete question is:
Find the missing side. Round to the nearest tenth.
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Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts? (1 point) f(x) = −2x − 1 x g(x) 2 2 4 6 6 10 Group of answer choices:
A.The function f(x) has a higher y-intercept.
B.The function g(x) has a higher y-intercept.
C.They both have the same y-intercept.
D.The relationship between y-intercepts cannot be determined.
The answer is the function f(x) has a higher y-intercept, the correct option is A.
What is the slope of a straight line?A straight line of the form
y = mx + c
has its slope as 'm'
It is constant for a line. The more the slope is, the steeper the line is.
Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have negative slope. Horizontal line has 0 slope and vertical line has infinite slope, as it is now at maximum steepness.
Given;
f(x) = −2x − 1 x
g(x) 2 2 4 6 6 10
Now by comparing the function to the slope-intercept form of a line we get;
The y-intercept of function f(x) is; -1
Also, the table for the function g(x) is given by;
x g(x)
2 2
4 6
6 10
The function g(x) satisfies the equation;
g(x)= 2x-2
The y-intercept of the function g(x) is; -2
We know that:
-1 > -2
Therefore, the slope answer will be f(x) is higher than the y-intercept of the function g(x).
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24:56 basic ratio help help help
Julio is buying a car. He makes a down payment of 20% and he makes arrangements to finance the remaining $14,000. What is the dollar amount of Julio's down payment?
well, we know the downpayment is 20%, so 100% - 20% = 80%, that's the remaining amount, which we know is 14000 bucks, let's say the 20% is really "x" bucks, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 14000 & 80\\ x& 20 \end{array} \implies \cfrac{14000}{x}~~=~~\cfrac{80}{20} \\\\\\ \cfrac{ 14000 }{ x } ~~=~~ 4\implies 14000=4x\implies \cfrac{14000}{4}=x\implies 3500=x[/tex]
Write the equation for the product of 12 and eight
Answer:
to find product of 12 and 8
u need to multply 12x8=96
i think u study in class 1
After 10 days, 95% of a radioactive material has decayed
a) What is the half-life of the material?
b) How long will it take for there to be 15% of the original material left?
how can do braily app use
Answer:
Below
Step-by-step explanation:
a) 1/2^n will show how much remains after 'n' halflives
95 % = .95
.95 = 1/2^n log both sides to find n = .07400058
so 10 days is .07400058 half lives
10 / .0740058 = half life = 135.1 days
b) .15 = 1/2^n shows n = 2.736 halflives
2.736 halflives * 135.1 days/halflife = 369.8 days
A rectangular building ha a bae that i 255ft long, 255 feet wide, and the building i 42 ft tall. Find the unit for the volume of the building
The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.
The volume of the building will be calculated by the formula -
Volume = length × breadth × height
Thus, keeping the value of each component of building in the formula to find the volume of the building.
Volume of building = 255 × 255 × 42
Performing multiplication on Right Hand Side of the equation to find the value of volume
Volume of building = 2,731,050 feet³
Therefore, the volume of the building is 2,731,050 feet³.
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A construction company can purchase nails for $5 per pound and screws for $7 per dozen. How many pounds of nails and how many dozen screws can the company buy if their budget is at most $200?
a) Let x be the pounds of nails and let y be the dozens of screws. Write an inequality that would model this
situation.
The inequality for the model of the situation is 200 ≤ 5x + 7y.
What is system of inequality?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the answer of a linear inequality is the ordered pair that resolves all inequalities in the system.
Given that, let x be the pounds of nails and let y be the dozens of screws.
The equation for, nails for $5 per pound is given as:
5x
The equation for, screws for $7 per dozen is given as:
7y
If their budget is at most $200, then the inequality representing the nails and the screws is:
200 ≤ 5x + 7y
Hence, the inequality for the model of the situation is 200 ≤ 5x + 7y.
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What is the best approximation of the solution to the system to the nearest integer values? Responses (−2, 6) begin ordered pair negative 2 comma 6 end ordered pair (6, −2) begin ordered pair 6 comma negative 2 end ordered pair (7, −2) begin ordered pair 7 comma negative 2 end ordered pair (−2, 7) begin ordered pair negative 2 comma 7 end ordered pair Graph of a system of linear equations. Equation 1 is 3 x minus 4 y equals negative 32. Equation 2 is 3 x plus 5 y equals 24.
The best approximation of the solution to the system is (-2, 7).
How did we get the values?Here's how I arrived at the solution using substitution method:
Given the system of linear equations:
3x - 4y = -32
3x + 5y = 24
We'll solve for x in equation 1 and substitute the result into equation 2:
3x - 4y = -32
x = (-32 + 4y) / 3
Substituting this expression of x into equation 2:
3((-32 + 4y) / 3) + 5y = 24
-32 + 4y + 15y = 24 * 3
13y = 24 * 3 + 32
13y = 96
y = 7.38
Rounding the value of y to the nearest integer, we get y = 7.
Substituting y = 7 back into the expression for x:
x = (-32 + 4 * 7) / 3
x = (-32 + 28) / 3
x = -4 / 3
Rounding the value of x to the nearest integer, we get x = -2.
Therefore, the best approximation of the solution to the system of linear equations is (-2, 7).
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Calculate the size of angle DAB.
Answer:
25
Step-by-step explanation:
DAB＝180-CBA
＝180-155
＝25
pls give brainliest if correct
Answer:
[tex]\angle DAB=25 \textdegree[/tex]
Step-by-step explanation:
We can use the Sum of Interior Angles formula to help us evaluate the size of angle DAB.
The formula for the Sum of Interior Angles is
[tex](n-2)*180[/tex]
where [tex]n[/tex] is the number of sides.
In this example we have 4 sides.
[tex](4-2)*180\textdegree\\2*180\textdegree=360\textdegree[/tex]
So the sum of all the interior angles in this shape must add up to 360°.
We are given 2 right angles and 1 additional angle. There are 4 angles total. Since we are given 3 we can evaluate the value of the 4th angle.
[tex]\angle A +\angle B +\angle C+\angle D=360 \textdegree[/tex]
[tex]360 \textdegree-\angle B -\angle C-\angle D=\angle A[/tex]
[tex]360\textdegree-90\textdegree-90\textdegree-155\textdegree=25\textdegree[/tex]
A bank credit card charge interet at the rate of 25% per year,compounded monthly. If a enior in college charge 1100 to pay for college expene, and intend to pay it in one year, what will he have to pay?
The amount the college senior will have to pay in one year, given the interest charge and the amount paid, is $ 1, 408. 80
How to find the amount?To find the amount, you need to use the future value formula. This would show the amount the college senior would pay in a year given what they spent on the credit card.
The monthly rate is:
= 25 % / 12
= 25 / 12 %
The amount the college senior will pay is:
= 1, 100 x ( 1 + 25 / 12 % ) ¹²
= $ 1, 408. 80
Note : The brackets are raised to the power of 12 because of the number of months in a year which is the amount of time till the college senior pays back.
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in a survey, the planning value for the population proportion is p=*0.25. how large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.1? round your answer to next whole number.
Sample size of 385 should be taken. Rounding up to the next whole number, the required sample size would be 385. So, in order to provide a 95% confidence interval with a margin of error of 0.1 for the population proportion of 0.25, a sample size of 385 should be taken.
We can use the formula:
n = (Z^2 * p * (1-p)) / E^2
where:
Z is the z-score corresponding to the desired confidence level (for 95% confidence, Z = 1.96)
p is the estimated population proportion (p = 0.25)
E is the desired margin of error (E = 0.1)
Plugging in the values:
n = (1.96^2 * 0.25 * (1 - 0.25)) / 0.1^2
n = 384.16
we are attempting to gauge the populace extent with a room for mistakes of 0.1 and a certainty level of 95%.
To find the example size we want, we utilize an equation that considers the assessed populace extent (0.25), the ideal safety buffer (0.1), and the certainty level (95%). The recipe gives us a number that we gather together to the closest entire number. For this situation, the recipe lets us know that we want to test 385 individuals.
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Which of the following T-tables would NOT be an appropriate model for the function shown here?
The second table has the points:
f(2) = 0
f(2) = 1
So it isn't even a function, that is the correct option.
Which of the given tables is not an appropiate model of the function?Here we have the graph of function x = f(x), where the values of x are shown on the horizontal axis and the values of f(x) ares hown on the vertical axis.
Something that you can see, is that when x = 0 (leftmost value) we have:
f(0) = 2.
So every table should have that, but if we look tat the second option we can see that:
f(2) = 0
f(2) = 1
So that table has tw different values for x = 2 (so it does not even represent a function). So that is the correct option.
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P=(prime numbers less than 20) and Q=(odd numbers less than 10) find PnQ
The solutions are, P= 2,3,5,7,11,13,17,19 & Q= 1,3,5,7,9
when, P=(prime numbers less than 20) and Q=(odd numbers less than 10)
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
P=(prime numbers less than 20)
and Q=(odd numbers less than 10)
so, P= 2,3,5,7,11,13,17,19
as, A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Numbers that have more than two factors are called composite numbers.
now,
Q= 1,3,5,7,9
as, Odd numbers are whole numbers that cannot be divided exactly into pairs. Odd numbers, when divided by 2, leave a remainder of 1. 1, 3, 5, 7, 9, 11, 13, 15 … are sequential odd numbers.
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how to determine density of a liquid with cubes, a meterstick and stopwatch
The formula to determine the density of a liquid with cubes, a meterstick and stopwatch is density of the liquid = mass / volume = 2.7 g / (volume of liquid displaced by the cube)
Density is a measure of how much mass is contained in a given volume of a material. In order to determine the density of a liquid, you will need three things: cubes, a meterstick, and a stopwatch.
First, gather your materials and select a cube of known dimensions. Place the cube on the surface of the liquid and start the stopwatch. Observe how long it takes for the cube to sink to the bottom of the container. Let's call this time t.
Next, use the meterstick to measure the height of the liquid in the container
With these two pieces of information, you can calculate the density of the liquid using the formula:
=> density = mass / volume
The mass of the cube can be calculated as:
=> mass = volume * density of the cube
where the volume of the cube is given by
=> volume = s³, where s is the length of one side.
Since we know the length of one side (s = 1 cm), the volume of the cube is 1 cm³.
The density of the cube can be assumed to be a constant value (for example, if the cube is made of aluminum, the density is approximately 2.7 g/cm³).
So,
=> mass = volume * density of the cube = 1 cm³ * 2.7 g/cm³ = 2.7 g.
The volume of the liquid displaced by the cube can be calculated as:
volume = mass / density of the liquid = mass / (h/t²)
where h/t² is the acceleration due to gravity.
Finally,
density of the liquid = mass / volume = 2.7 g / (volume of liquid displaced by the cube)
Complete Question:
Determine the density of an unknown liquid with only a meterstick, stopwatch, and cubes that sink.
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Breyelle is planning on purchasing a new sports utility vehicle.
Answer:
Please type or attach a question to be answered. Currently, all you have is as a question is the statement "Breyelle is planning on purchasing a new sports utility vehicle."
Select all the points in the solution set of the graph below.
Step-by-step explanation:
It's a the second one pick the second one
