On a Cartesian (or "coordinate") plane in which each point is represented by an ordered pair (x , y) belongs to x coordinate , y coordinate .
An ordered pair is a set of numbers in which it gives the location of a point on a coordinate plane.
The ordered pair is always expressed exactly the same way (x , y).
The first number in an ordered pair represents the x coordinate on the plane while the second number in an ordered pair represents the y coordinate.
The x-coordinate shoes that how far away the point is horizontally from the x-axis.
The y-coordinate shows that how far away the point is vertically from the x-axis.
Quadrant I: the upper-right quadrant of the plane in which all points in this quadrant have the positive x coordinates and positive y coordinates as { (+,+)} , {(+,+)}
Quadrant II: the upper-left quadrant of the plane in which all points in this quadrant have negative x coordinates and positive y coordinates
{ (+,-)}{ (+,-)}
Quadrant III: the lower-left quadrant of the plane in which all points in this quadrant have negative x coordinates and negative y coordinates
{ (-,-)}{(-,-)}
Quadrant IV: the lower-right quadrant of the plane in which all points in this quadrant have positive x coordinates and negative y coordinates
{(+,-)}{ (+,-)}
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Using the regression line, or line of best fit, predict the resale value of an 8-year-old car with an original cost of $15,000.a.The 8-year-old car could be worth approximately $2000.b.The 8-year-old car could be worth approximately $5000.c.The 8-year-old car could be worth approximately $3000.d.The 8-year-old car could be worth approximately $4500.
The 8-year-old car could be worth approximately $3000.
The graphs that show the association between two variables in a data collection are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.
The X-axis is used to represent the independent variable or characteristic, while the Y-axis is used to plot the dependent variable. These diagrams or graphs are frequently used to describe these plots.
In the graph attached below, we can see that when the age of the car is 8 years, the resale value of the car is between points 40 and 20.
Thus, The 8-year-old car could be worth approximately $3000.
(Refer to the image attached for the complete question and graph)
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A consumer agency wants to determine which of two laundry detergents, A or B, cleans clothes better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale from 1–10, with 1 being the least clean to 10 being the most clean. The difference in mean ratings (A – B) was determined to be 1.5. Assuming there is no difference in the two detergents, 200 simulated differences in sample mean ratings are displayed in the dotplot.
Using the dotplot and the difference in mean ratings from the samples, is there convincing evidence that the one detergent is better than the other?
Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that A is more effective than B.
Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that B is more effective than A.
No, because a difference in mean rating of 1.5 or less occurred 167 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
No, because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
answer is D
The conclusion on if there is convincing evidence that the one detergent is better than the other is; Option D: No, because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
What is the conclusion of the sample research?We are told that, 25 pieces are randomly assigned to be cleaned with detergent A, while the remaining 25 pieces are cleaned with detergent B.
Therefore, we can say that the sample size for both detergent A and detergent B is same. We can also say that the sample is distributed randomly which means that the sample is unbiased (fair).
We are also told that the mean rating for detergent B is found to be significantly less than the mean rating for detergent A. Since we know that the mean is the average of a set of given numbers, then we can conclude that there is No evidence that the one detergent is better than the other because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
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What does FG mean mass?
FG is an abbreviation for "Femtogram," which is a unit of mass equal to one quadrillionth of a gram (10^-15 g).
An exclamation is an emphatic expression of emotion or emphasis. It is often used to express strong feelings such as surprise, joy, excitement, anger, or disbelief. Exclamations are also used to emphasize a point or give an opinion. Exclamations are most commonly used in spoken language, particularly in informal conversations. They can also be used in written language, but they should be used sparingly. Exclamations are often followed by an exclamation point, although they can also be followed by a question mark or an ellipsis. Exclamations can be used to add emphasis or emotion to a statement, making it more powerful and memorable.
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A square board has an area of 144 square units. How long is each side of the board?
Answer: 12 units
Step-by-step explanation:
∴ Area of Square = side length × side length
⇒144 = lengt²
⇒length = √144
⇒length = 12 units ANSWER
hope that helps...
54 is 72% of what number?
The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases. What does the 10 represent?
A)
The interest the savings account earned for the first year.
B)
The annual interest rate of the savings account.
C)
The number of years the savings account has earned interest.
D)
The starting balance of the savings account.
The 10 represent in the function f(x) = 10(1. 015)* shows the balance in a savings account as time increases is the starting balance of the savings account.
Therefore the answer is D) The starting balance of the savings account.
The compound interest formula is used to calculate the total interest earned on a principal amount over a period of time, where the interest is compounded at regular intervals. The formula is:
A = P(1 + r)^(t)
Where:
A is the final amount (principal + interest)
P is the principal (initial) amount
r is the annual interest rate (expressed as a decimal)
t is the number of years the money is invested or borrowed
The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases.
So 10 represents the principal (initial) amount
0.014 represents the annual interest rate (expressed as a decimal)
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Rsm question please help!
The multiplication of the algebraic expressions gives x⁴ + 1.5x³ - 2x²
How to perform multiplication on algebraic expressions?An algebraic expression is an expression that consists of variables, constants, and a finite number of algebraic operations (such as addition, subtraction, multiplication, and division) e.g. 2x + 25
In order to perform the multiplication, you use expression outside the parenthesis to multiply the expressions inside the parenthesis one after the other. That is:
-0.5x²(-2x² - 3x + 4) = -2x²(-0.5x²) - 3x(-0.5x²) + 4(-0.5x²)
= 1x⁴ + 1.5x³ - 2x²
= x⁴ + 1.5x³ - 2x²
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I'm need help asap! i dont get the question, i would appreciate it if somebody could help me( giving brainilest & 20 points)!!!
Look at picture below
Answer:
81/100 is the answer I believe if I'm wrong my bad
Answer:
81/100
Step-by-step explanation:
brainliest pls
Helppppppp
Write the expression as a unit rate.
Joyce painted 8 window frames in 5 hours while earning money for college.
What was her painting rate in window frames per hour?
What was her painting rate in hours per window frame?
Her painting rate in window frames per hour will be;
⇒ 1.6 frames per hour
Her painting rate in hours per window frame will be;
⇒ 0.25 hours per window frame
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Joyce painted 8 window frames in 5 hours while earning money for college.
Here, Joyce painted 8 window frames in 5 hours while earning money for college.
Hence, Her painting rate in window frames per hour is,
⇒ 8/5
⇒ 1.6 frames per hour
And, Her painting rate in hours per window frame is,
⇒ 5/8
⇒ 0.25 hours per window frame
Thus, Her painting rate in window frames per hour = 1.6 frames per hour
Her painting rate in hours per window frame = 0.25 hours per window frame
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A financial analyst wants to set up a hypothesis test to determine if the mean yearly salaries of teachers, tutors, and professors are the same. What would be the correct setup for the null and alternative hypotheses for this test
Null hypothesis (H0): There’s no effect in the population. Alternative hypothesis (Ha or H1): There’s an effect in the population.
Which null and alternative hypotheses are correct?The null and alternative hypotheses are two opposing ideas that researchers use a statistical test to analyze evidence for and against: The null hypothesis (H0) states that there is no influence in the population. Alternative hypothesis (Ha or H1): There is a population effect.
Identify the null and alternative hypotheses.
As well as the sample size, specify.
Choose a suitable statistical test.
Gather information (note that the previous steps should be done prior to collecting data)
Based on the sample data, compute the test statistic.
Examine the null hypothesis, usually indicated by H0.
Always write the alternative hypothesis, which is usually marked by Ha or H1, with less than, greater than, or not equals symbols, i.e., (,>,or).
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Radicals help please
Consequently, the answer to the above fraction problem comes out to be 1/2 .
What is fraction?An element of a fraction or ratio is a piece of a whole. The number of equally sized pieces into which the whole has been divided is represented by the denominator b, and the number of parts that are included is represented by the numerator a. The LCM of two fractions' denominators is the least common multiple (LCD) of those denominators.
Here,
Given here is: (4√(2) - √(2)) × √(2) / (2) (2) × √(18) (18)
The radical is then simplified in order to determine its value.
=> 3√(2) × √(2) / 2√(2) × 3√(2)
=> 3(2) / 6(2)
=> 3/6
=> 1/2 or 0.5
so,
after simplification, the answer is 1/2.
Consequently, the answer to the above fractional problem comes out to be 1/2 .
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Given (x – 7)2 = 36, select the values of x.
Can you guys answer the top question thanks?
The required solution are as follows,
(A) Kyra's equation of line, passes through 15 pts.
(B) Liam's equation of line, passes through 20 pts.
(C) the equation of line passes through 30 pts is y = 4/3x + 5.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
Drawing the graph on the graph and evaluating which line pass through which points,
(A)
Kyra's equation of a line is y = 1/2 x
And from the graph, it is seen that the line passes through 15pts
Similarly,
(B) passes through 20 pts
(C)
from the graph, it is seen that equation y = 4/3x + 5 passes through 30 points.
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At the candy store, Julie found a special scale that would measure the number of pounds, p, of candy and then calculate the cost, c, when you typed in the name of the candy. For her favorite candy, chocolate gummy bears, she wrote this table.
p c
0.25 1.69
0.45 3.04
0.75 5.06
1.25 11.81
Choose all of the following statements that are true.
Select one or more:
a.
A reasonable domain is [-1, 100]
b.
A reasonable domain is (0, 50] .
c.
c = 6.75p
d.
none of these
e.
A reasonable range is [0, 20].
The true statement about the function in the list of options is (d) none of these
How to determine the true statements in the list of optionsFrom the question, we have the following parameters that can be used in our computation:
p c
0.25 1.69
0.45 3.04
0.75 5.06
1.25 11.81
Where
the number of pounds of candy = p the cost of candy = cThe values in the p column represent the domain
In this case, the domain is
Domain = [0.25, 1.25]
The values in the c column represent the range
In this case, the range is
Range = [1.69, 11.81]
This means that the options (a), (b) and (e) are false
For option (c), we have
c = 6.75p
This means that
c = 6.75 * 0.25 = 1.69
c = 6.75 * 0.45 = 3.04
c = 6.75 * 0.75 = 5.06
c = 6.75 * 1.25 = 8.43 -- false
This means that the option (d) is false
Hence, none of the options is true
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What are the roots of the equation x² - 10x +34 = 0 in simplest
a + bi form?
What is the interval of 0 5?
Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.
What is Interval Notation?Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
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27/3 TO A WHOLE
NUMBER
Answer:
9, after being converted to a mixed number
Step-by-step explanation:
Just divide 27 by 3, it’ll equal 9
yw :)
hope i helped, reach out if it’s wrong (it’s not lol)
Have a great day :3
Answer: 9
Step-by-step explanation:
since fraction means we divide the numerator by denominator, we divide 27 by 3
⇒27/3
⇒27 ÷ 3
⇒9 answer
hope that helps ...
PLEASE HELPPPP
(image below)
Answer:
b
Step-by-step explanation:
I think number B is the answer. because the square becomes root when it crosses the = . So, the answer is B
Answer:
b. ±√60
Step-by-step explanation:
You want to know the solution to x² = 60.
SolutionIn general, the process of solving for a variable's value requires you to "undo" what is done to the variable. This generally means you use inverse operations. The inverse of the squaring operation is the square root operation.
Taking the square root of both sides, we get ...
√(x²) = √60
|x| = √60 . . . . . . simplify the left side
x = ±√60 . . . . . . . write the equivalent without the absolute value bars
__
Additional comment
As with any operation performed on an equation, it must be done to both sides of the equal sign.
You will get a ±(radical) result whenever you take an even-index root: square root, fourth root, sixth root, and so on. Odd-index roots will have the same sign as the value under the radical.
√64 = ±8
∛64 = 4; ∛-64 = -4
PLEASE HELP !!
Find the value of x
picture attached
Answer:
x = 11
Step-by-step explanation:
The two angles are consecutive interior angles so they add up to 180
13x -26 + 5x + 8 = 180
13x + 5x -26 + 8 = 180
18x - 18 = 180
18x = 180 + 18
18x = 198
x = 11
J31) what are the undefined values for sinx cosx / 1 - sin²x , where 0 ≤ x < 2pi ?
how?
Answer:Mathematics2 minutes ago
+5 pts
J31) what are the undefined values for sinx cosx / 1 - sin²x , where 0 ≤ x < 2pi ? how?
Step-by-step explanation:
which of the following phrases translate to the expression y+7 ?
The required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Given expression x + 7,
The expression can be translated as a number increase by 7 or the Addition of the number and 7.
Thus. the required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.
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It costs $0. 50 per square yard to waterproof canvas. What will it cost to waterproof a canvas truck cover that is 15' x 24'
It will cost $10.00 to waterproof a canvas truck cover that is 15' x 24'.
To find this, we need to first convert the dimensions of the canvas truck cover from feet to yards, since the cost is given per square yard. 15' x 24' = 180 sq ft. 1 sq yard is equal to 9 sq ft, so 180 sq ft/9 sq ft/yard = 20 sq yard. Then we multiply the square yards by the cost per square yard to find the total cost:
20 sq yard x $0.50/sq yard = $10.00.It's important to note that the measurements of the canvas truck cover are given in feet and the cost is given per square yard. It's important to convert it to square yards to match the unit of measurement and calculate the cost.
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Sue has 20 biscuits in a tin.
There are: 12 plain biscuits
5 chocolate biscuits
3 currant biscuits
Sue takes two random biscuits from the tin.
Work out the probability that they are not the same type.
Answer:
The probability that the two biscuits were not the same type is 58.4%.
How much is the probability that the two biscuits were not the same type?
The probability that they are different is the opposite of the probability that they are the same.
The probability that they are the same is:
⇒ P(plain, plain) = (12/20) (11/19) = 132 / 380
⇒ P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380
⇒ P(currant, currant) = (3/20) (2/19) = 6 / 380
⇒ P(same) = 132/380 + 20/380 + 6/380
⇒ P(same) = 158/380
⇒ P(same) = 79/190
Therefore, the probability that they are different is:
⇒ P(different) = 1 − 79/190
⇒ P(different) = 111/190
⇒ P(different) ≈ 58.4%
What does probability mean?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
What does ∧ and ∨ mean in math?
The ^ operator in logical mathematics means the OR operation . Therefore , the statement ∧ and ∠means that a or the negation of a is joined by the or operation .
These are known as logical operations as they are based upon logic.The meaning of the term logic is reasoning which means to resonate. The reasoning may be a legal opinion or mathematical confirmation.
We apply logic on expression to check whether they are true of false . Some of the mathematical logics are a negation, conjunction, and disjunction logical operations. The symbols used for them in mathematical logic is, ‘~’ for negation ‘^’ for conjunction and ‘ v ‘ for disjunction.
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At summer camp this year, Clare is leading the beadwork class. Each of the 9 craft tables has a bucket of beads. The graph shows the weight of the beads in each bucket.
If Clare distributes all of the beads equally among the 9 buckets, how much will the beads in each bucket weigh?
The beads in each bucket will weigh 1 pound
How to determine the weight of the beads in each bucket?
A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.
From the graph, we have weights of 0, 1/2, 1 1/2 and 2 pounds.
In order for Clare to distributes all of the beads equally among the buckets, she need to add up weight of the beads and divide by 5.
weight in each bucket = (0 + 1/2 + 1 1/2 + 2)/5 = 5/5 = 1 pound
Thus, each bucket weighs 1 pound
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what is the x and y of this equation 5x+7=6x+4
The value of x will be; x = 3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that the equation 5x+7=6x+4
Here, we need to solve for x;
5x+7=6x+4
combine the like terms;
5x - 6x = -7 +4
-x= - 3
x = 3
Therefore, the solution will be as;
x = 3
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Two piecewise functions are shown below. What is the value of 3h(2) + 4g(1)?
Answer: In order to calculate the value of 3h(2) + 4g(1), we would need to know the specific functions h(x) and g(x) that you are referring to. Without more information, it is not possible to determine the value of the expression.
Typically, piecewise functions are defined by several different expressions, each defined over a different interval of the input variable x. To evaluate a piecewise function at a specific value of x, we must first determine which interval that value of x falls into, and then use the corresponding expression for that interval to find the output value.
Are you able to provide the piecewise functions, or are you just using them as an example?
Also, in case if you want to describe the functions in words, please let me know.
Step-by-step explanation:
If BE=24, DF= 10, and A F= 13,
1. Find the perimeter of ΔABE
2. Find the perimeter of ΔCDF
The perimeter of ΔABE is 70 units.
The perimeter of ΔCDF is 35 units.
How to find the perimeter of a triangle?A triangle is a polygon with threes sides. The sum of angles in a triangle is 180 degrees.
Therefore, the perimeter of a triangle is the sum of the whole sides.
Triangle mid point theorem is used to find the perimeter of the triangles.
It states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”
Let's find the perimeter of triangle ABE.
Hence,
perimeter of triangle ABE = AB + BE + AE
BE = 24
AE = 13 + 13 = 26
AB = 10 + 10 = 20
perimeter of triangle ABE = 24 + 26 + 20 = 70 units
perimeter of triangle CDF = DF + CD + CF
perimeter of triangle CDF = 10 + 13 + 12
perimeter of triangle CDF = 35 units
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What is a midpoint for zero?
The midpoint for zero is (0,0).
The midpoint can be zero. This is dependent on the value of the two points. For two points on a number line on points with values -4, and 4, the midpoint is 0. And for two points such as (-2, 5), and (2, -5), the midpoint is equal to (0, 0).
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.
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How does the parabola open? Is the vertex a minimum or maximum value?
g(x) = (4-x)(2+7x)
Answer:
g (x) = −7 x 2 + 26 x + 8
Step-by-step explanation: