The given relation (-2,6)(-4,3)(3,-2)(8,6) is a function as every input has a single output.
A relation is set to be a function when every input has a single output.
In the given relation, -2,-4,3,8 has single output. Therefore, it is a function.
So, -2,-4,3 and 8 are the elements of the domain of the given
relation.
Here domain ={-2,-4,3,8} and range ={6,3,-3}
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Alex is putting away bowls in the school cafeteria. He must stack the bowls so they will all fit in the cupboard, but each stack can be only five bowls high.
If Alex has 287 bowls to put away, what is the minimum number of stacks he will have to make?
Answer:
heyyyyy
Step-by-step explanation:
whatssss goooddd
A survey was conducted among a group of employees to find the average time they spent online each day. The answers of the employees (in minutes) are shown in the box. 25, 45, 60, 30, 35, 20, 40, 45, 15, 30 Which of these scales would be most appropriate on the y -axis to represent this data on a bar graph? Responses
An appropriate scale for the y-axis would be to have each unit represent 5 minutes of time.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Since the data represents the average time employees spent online, the y-axis of the bar graph should represent time in minutes.
To choose an appropriate scale for the y-axis.
we need to consider the range of values in the data set.
The lowest value is 15 minutes
and the highest value is 60 minutes
Range of values is 60 - 15 = 45 minutes.
It's best to choose a scale that divides the range of values into equal intervals.
One possible option is to use a scale where each unit represents 5 minutes of time. This would allow us to represent the data accurately without making the bars too small or too large.
Therefore, an appropriate scale for the y-axis would be to have each unit represent 5 minutes of time.
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Combine the like terms to simplify this expression: ( the 2 to the right of the x, is an exponent)
2x² + 3x-4-x² + x + 9
Answer:
x^2 +4x +5
Step-by-step explanation:
2x^2 -x^2 will be x^2
3x+x is 4x
-4+9 is 5
Translate the following sentence into an equation then solve the equation. the sum of r and 18 is 73
Answer:
r = 55
Step-by-step explanation:
Sum means addition
r + 18 = 73 Subtract 18 from both sides
r = 55
Answer:
The equation is:
r + 18 = 73
and the result is:
r = 55
Step-by-step explanation:
The sum of r and 18 is 73, in equation is:
r + 18 = 73
Solve:
r + 18 - 18 = 73 - 18
r + 0 = 55
r = 55
Check:
55 + 18 = 73
someone help me asap
7. A storage shed is shown below. How many cubic feet will the storage shed hold? 13 ft 13.6 ft 5 8 ft 13.6 ft 6 ft
The amount of cubic feet that the storage shed can hold is 168 ft³
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
The volume of the storage shed is the product of the base area and the height. It is given by:
Volume = base area * height
From the diagram, the base is a triangle. Hence:
Area of base = (1/2) * base * height = (1/2) * 8 ft * 7 ft = 28 ft²
Volume = base area * height = 28 ft² * 6 ft. = 168 ft³
The volume of the storage shed is 168 ft³
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Which model shows two equal expression when the value of x 2
The model that represents the two equal expression for the value x is 2 is given by :
option C. x 1 1 = 1 1 1 1
The correct model which represents the expression for the value x as 2 is given by :
A. x x x x = 1 1 1 1
On the left hand side substitute the value of x = 2 we get,
Left hand side
= 2 2 2 2
It is not equal to 1 1 1 1
Incorrect option.
B. x x x x = 1
On the left hand side substitute the value of x = 2 we get,
2 2 2 2
which is not equal to 1
Incorrect option.
C. x 1 1 = 1 1 1 1
On the left hand side substitute the value of x = 2 we get,
2 1 1
= 1 1 1 1
= Right hand side.
Correct option.
D. x x
On the left hand side substitute the value of x = 2 we get,
= 2 2
which is not equal to right hand side
Incorrect option.
Therefore, the correct model which represents the expression for the value of x = 2 is equal to option C. x 1 1 = 1 1 1 1 .
The above question is incomplete , the complete question is:
Which model shows two equal expression when the value of x is 2 ?
Attached model.
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A taxi driver records the time required to complete various and the distance for each trip. The best-given fit line by the equation y=0.467x + 0.417, where y represents the distance miles, and x represents the time for the trip in minutes.
use the best fit line to estimate the time for a trip that is 6 miles long
By using line of best fit, the time for a trip of 6 miles long is 11.96 minutes.
What is line of best fit?A line of best fit is a graphical representation of straight line which gives the best approximation of the given data set.
A taxi driver records the time required to complete various and the distance for each trip.
The best-given fit line by the equation y=0.467x + 0.417.---(1)
where y represents the distance miles, and x represents the time for the trip in minutes.
To find the time for a 6 miles:
i.e., substitute y=6 in the equation(1)
6=0.467x+0.417
⇒x=11.96 minutes.
Hence, by using line of best fit, the time for a trip of 6 miles long is 11.96 minutes.
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Solve the system of equations by graphing.
x+y = -7
4x + y = 19
Answer:
(8.666666667, -15.66666667)
or in fraction form
(26/3, -47/3)
Step-by-step explanation:
First we want to get both of the equations into y-intercept form
x + y = -7
subtract x from both sides
y = -x - 7
and the other
4x + y = 19
subtract 4x from both sides
y = -4x +19
now we can graph them
(See attached screenshot)
Find X then find angle NK
Using the two tangent exterior angle theorem:
x = 6
m(NK) = 153°
How to Apply the two tangent exterior angle theorem?According to the two tangent exterior angle theorem, when you draw two tangent lines from a point outside a circle, the angle formed between them is equal to half the difference between the measures of the arcs they intercept inside the circle.
Therefore, using the above theorem, we have:
7x + 6 = 1/2[(25x + 3) - (9x + 3)]
Solve for x:
2(7x + 6) = 25x + 3 - 9x - 3
14x + 12 = 16x
14x - 16x = -12
-2x = -12
x = -12/-2
x = 6
m(NK) = 25x + 3 = 25(6) + 3
m(NK) = 153°
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Garth was making lemonade for the school carnival. He bought 14 1/4 pounds of sugar to use for the lemonade. When he finished making lemonade, he had 4 3/4 pounds of sugar left over. How much sugar did he use for the lemonade?
A) 19
B) 18 1/2
C) 10 1/2
D) 9 1/2
4 3/4 pounds amount of sugar were left after Garth used 9 1/2 pounds for the lemonade.
9 1/2 pounds of sugar were used from 14 1/4 minus 4 3/4.
Garth needed 14 1/4 pounds of sugar to make lemonade for the school carnival, so he purchased them. He had 4 3/4 pounds of sugar left over when he had done preparing the lemonade. This indicates that he made the lemonade using 9 1/2 pounds of sugar. He took the 14 1/4 pounds of sugar he purchased and subtracted the 4 3/4 pounds that were leftover to get at the amount of sugar he utilised, or 9 1/2 pounds. This indicates that the correct response is D: The lemonade required 9 1/2 pounds of sugar.
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if 0 < 0 < pi/2, as 0 increases, the value of cos0 and the value of sin0
As the angle increases from 0 to π/2, the value of sine increases, and the value of cosine decreases.
Trigonometry is a branch of mathematics that deals with the relationships between angles and sides of triangles.
Let us first understand the concept of sine and cosine. In a right-angled triangle, the sine of an angle is defined as the ratio of the length of the side opposite to the angle and the length of the hypotenuse. Similarly, the cosine of an angle is defined as the ratio of the length of the adjacent side and the length of the hypotenuse.
As the angle θ increases from 0 to π/2, the length of the opposite side (the numerator in sine) of the triangle increases, and the length of the hypotenuse (the denominator in sine) remains the same. Therefore, the value of sine increases as θ increases.
On the other hand, as the angle θ increases from 0 to π/2, the length of the adjacent side (the numerator in cosine) decreases and the length of the hypotenuse (the denominator in cosine) remains the same. Therefore, the value of cosine decreases as θ increases.
This behavior is consistent with the fact that sine is an increasing function, while cosine is a decreasing function within this range of angles.
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Complete Question:
If 0< θ <π/2, as Theta increases, the value of
cos(θ) [Decreases/Increases/Remains The Same]
and the value of sin(θ) [Decreases/Increases Remains The Same]
You are 70% of the way through an 800 page novel. How many pages have you read?
Answer: You have read 560 pages.
Step-by-step explanation:
70 divided by 100 x 800 = 560.
Answer:
Step-by-step explanation:
800(.70)= 560 pages that have been read
Writing Find the length of the hypotenuse of the right triangle. Use pencil and paper. Explain how you can interpret the Pythagorean Theorem using the areas of squares.
Answer:
The length of the hypotenuse is 17.
6 unit squares each have 3/5 of their area shaded. What is 3/5 of 6?
Answer: 3.6
Step-by-step explanation:
3/5 is equal to 20% (3 divided by 5 times 100)
1.2 is 20% of 6
So, 3.6 is 3/5 of 6
NEED AN ANSWER QUICKLY PLEASE I WILL GIVE BRAININEST
Hi. I need 8 expressions that are equivalent to 31(2760q - d)
Answer: is 1 of them 31(2760)q -d)
PLEASE HELP !!
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A university has 32,370 students. In a random sample of 180 students, 12 speak three or more languages. Predict the number of students at the university who speak three or more languages.
The expected number of students at the university who speak three or more languages is ___________ .
The institution anticipates having 2158 students who can speak three or more languages.
Describe proportion in simple terms.The two ratios given are equivalent to one another, as demonstrated by the proportional equation. The percentage expresses the equality of something like the two ratios as well as fractions.
How do you teach pupils about proportion?Comparing two integers that each stand for a component of a whole results in a percentage. In essence, a percentage declares that two fractions are equal, regardless of the difference in amount. For instance, the ratio of half of 10 marbles to half of 50 marbles is 10.
[tex]\frac{x}{32370}=\frac{12}{180}[/tex]
[tex]{x} = \frac{12}{180}\times32370\\{x}=2158[/tex]
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draw a coordinate plane and find points A(-2;0) B(1;4) C(-5;-1) D(5;0) E(0;0)
pls help me
20 points
What is the slope of the line that contains these points?
xxx 888 111111 141414 171717
yyy 363636 121212 -12−12minus, 12 -36−36minus, 36
The slope of the given straight line passing through the coordinates given would be -8.
What is the general equation of a straight line?The general equation of a straight line is → Ax + By + C = 0Rearranging the equation, we can write -By + C = - Ax
By = - Ax - C
y = -(A/B)x - (C/B)
Given are the coordinate points lying on the line.
Slope of a line measures the rate of change of {y} with respect to {x}.Mathematically, we can write the slope as → m = (y₂ - y₁)/(x₂ - x₁)We can write the slope as -
m = (y₂ - y₁)/(x₂ - x₁)
m = {12 - 36}/{11 - 8}
m = -24/3
m = -8
Therefore, the slope of the given straight line passing through the coordinates given would be -8.
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Which ratio is equivalent to 5:9
help pls
Find the value of the following expression and round to the nearest integer:
Answer:
53
Σ900(1.04)n+1
n=1
Submit Answer
___ % of 20 is 3.2?
- 15%
-16%
- 18%
- 20%
What are the coordinates of(D0.25∘rx-axis)(ABCD) for A(2, 6), B(0, 0), C(-5, 8), and D(-2, 10)?
(express ordered pairs as decimal)
Answer: The coordinates of the image of a figure after a rotation of 0.25 degrees about the x-axis can be found using the following formulas:
x' = x
y' = y * cos(θ) - z * sin(θ)
z' = y * sin(θ) + z * cos(θ)
where (x, y, z) are the original coordinates and (x', y', z') are the new coordinates. In this case, we only need to find the y' coordinate because the rotation is about the x-axis and the x coordinate will not change.
For each point, we can use the formula to find the y' coordinate:
A (2, 6) -> y' = 6 * cos(0.25) - 0 * sin(0.25) = 5.99911... ~ 6
B (0, 0) -> y' = 0 * cos(0.25) - 0 * sin(0.25) = 0
C (-5, 8) -> y' = 8 * cos(0.25) - 0 * sin(0.25) = 7.99823... ~ 8
D (-2, 10) -> y' = 10 * cos(0.25) - 0 * sin(0.25) = 9.99649... ~ 10
So, the new coordinates after rotating 0.25 degrees about the x-axis are:
A (2, 6) -> (2, 6)
B (0, 0) -> (0, 0)
C (-5, 8) -> (-5, 8)
D (-2, 10) -> (-2, 10)
The coordinates of the points have not changed after the rotation because the rotation angle is very small.
Step-by-step explanation:
natasha wants to average at least 90% in math class. her test scores so far are 94%, 89%, 88%, 92%, and 85%. what score does she need to earn on her next test to reach her goal? show your work.
Hey there! Johnny Sins always here to help,
To find out what score Natasha needs to earn on her next test, we can use the following formula:
Average = (sum of all scores) / number of scores
Let's call the score Natasha needs to earn on her next test "x".
Her average so far is:
Average = (94 + 89 + 88 + 92 + 85) / 5 = 90
Her average after her next test will be:
Average = (94 + 89 + 88 + 92 + 85 + x) / 6
Now, we need to set this equal to 90% and solve for x:
90 = (94 + 89 + 88 + 92 + 85 + x) / 6
90 * 6 = (94 + 89 + 88 + 92 + 85 + x)
540 = (94 + 89 + 88 + 92 + 85 + x)
x = 540 - (94 + 89 + 88 + 92 + 85)
x = 540 - 448
x = 92
So, Natasha needs to earn a 92% on her next test to average at least 90%.
_________________________________________________________
No problem for the answer, be sure o give a 5 stars and thanks,
Johnny Sins
the lower the variability of a set of scores, group of answer choices the less accurately the scores are represented by the mean. the more accurately the scores are represented by the mean. the less consistent the scores are. the more consistently the scores are centered around the median g
The correct answer is "the more accurately the scores are represented by the mean."
The variability or dispersion of a set of scores refers to how spread out the scores are from the central tendency, which is usually measured by the mean, median, or mode.
When a set of scores has low variability or dispersion, it means that the scores are clustered closely together around the mean, and therefore, the mean is a more accurate representation of the typical score in the set.
On the other hand, when a set of scores has high variability or dispersion, it means that the scores are more spread out from the mean, and therefore, the mean may not be a very accurate representation of the typical score in the set. In such cases, other measures of central tendency, such as the median or mode, may provide a more accurate representation of the scores.
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If 100 visitors visit your site and 4 visitors convert, what is your web conversion rate?
HELP ASAP PLEASE
CODING CLASS
Write the exponential function that describes the situation.
The initial amount of the function is 12, and then it decreases by a factor of 7/9
with each unit increase in x.
There are eight groups of students, each working on a science project in the gym. Each group has the same number of students. Mr. Davids asks for 44 students from each group come with him to get more supplies. Now there are a total of 5656 students in the gym.
a. Write an equation to represent this situation, where xx represents the number of students in each group.
Preview
b. How many students are in each group? Simplify your answer completely.
Answer:
58585
Step-by-step explanation:
i know
There are 250 people in a museum
2/5 of the 50 peoples are girls
3/10 of the 50 people are boys
The rest of the 250 people are adults
Work out the number of adults in museum
The number of adults in the museum, using the fractional value of girls and boys, is 75.
What is a fractional value?A fractional value refers to a portion of the total value.
A fractional value can be depicted in fractions, decimals, or percentages.
A fractional value can also be represented as a ratio or proportion.
In this situation, the fractional number of adults is determined using subtraction.
The total number of people in a museum = 250
The fraction of girls in the museum = 2/5
2/5 of 250 = 100 girls
The fraction of boys in the museum = 3/10
3/10 of 250 = 75
Alternatively:
2/5 + 3/10 = 7/10
7/10 of 250 = 175
Therefore, the number of adults = 75 [250 - (100 + 75)]
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Complete Question:There are 250 people in the museum.
2/5 of the 250 people are girls.
3/10 out of the 250 people are boys.
The rest of the 250 people are adults.
Work out the number of adults in the museum.
in forecasting, there is more than one use for linear regression. what are they? check all that apply.
Casual relationship forecasting and Time series forecasting uses linear regression in forecasting.
Linear regression is a statistical tool used in forecasting to model the relationship between a dependent variable and one or more independent variables. Some of the common uses of linear regression in forecasting are:
Predictive modeling: Linear regression can be used to build a predictive model that estimates the value of the dependent variable based on the values of the independent variables..Trend analysis: Linear regression can be used to analyze the trend of the dependent variable over time.Forecast accuracy evaluation: Linear regression can be used to evaluate the accuracy of a forecasting model by comparing the predicted values to the actual values of the dependent variable. Causal analysis: Linear regression can be used to identify the causal relationship between the independent variables and the dependent variable. .Therefore, linear regression is a versatile tool in forecasting, with many useful applications for predicting future values, analyzing trends, evaluating accuracy, and identifying causal relationships.
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The complete question is :
In forecasting, there is more than one use for linear regression. What are the? Check all that apply.
1. Causal relationship forecasting
2. Time series forecasting
