Relationships that have a uniform or constant rate are said to be proportional relationships. Because it does not employ a uniform rate, the price of food does not follow a proportional connection.
The missing table looks like this:
Bag cost
0 0
5 17.5
30 89
First, we calculate the slope (m) of the table using:
(x₁ y₁) = (0,0)
(x₂ y₂) = (5,17.5)
m₁=(y₂-y₁)/(x₂ -x₁)
m₁=(17.5-0)/(5-0)
m₁=3.5
The slope for the following points
(x₁ y₁) = (0,0)
(x₂ y₂) = (30,89)
m₂=(y₂-y₁)/(x₂ -x₁)
m₂=(89-0)/(30-0)
m₂=2.97
3.5 ≠2.97
Hence, the cost of food is not a proportional relationship because it does not use a uniform rate.
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State the domain and range of the sin, cos, tan, functions. State the domain
and range of the inverse sin, cos, and tangent functions.
The domain and range of trigonometric functions are as follows;
Function Domain Range
sin(x). All real numbers [-1, 1]
cos(x). All real numbers [-1, 1]
tan(x). {x| x ≠ -3•π/2, -π/2, π/2, } R
The domain and range of the inverse sine, cosine, and tangent are;
Function Domain Range
arcsin(x). (-1, 1) [-π/2, π/2]
arccos(x). (-1, 1) [0, π]
arctan(x) (-∞, ∞). [-π/2, π/2]
What are the domains and ranges of the trigonometric functions?sin(x)
The domain of sin(x) is the set of possible values for x, for which sin(x) is defined, which is;
All real numbers.The range of sin(x) is the set of possible values output values of sin(x) is, which is; -1 ≤ sin(x) ≤ 1
The range is therefore; [-1, 1]cos(x)
Similarly;
The domain of cos(x) is the set of all real numbersThe range of cos(x) is; -1 ≤ cos(x) ≤ 1tan(x)
tan(x) = sin(x)/cos(x), however, cos(x) = 0, when x = -3•π/2, -π/2, π/2, 3•π/2...
The domain of tan(x) is therefore;
{x| x ≠ -3•π/2, -π/2, π/2, 3•π/2...}sin(x) increases as cos(x) decreases, therefore;
The range of tan(x) = sin(x)/cos(x) is therefore;
-∞ < tan(x) < ∞ which is {-∞, ∞}arcsin(x)
The input of arcsin(x) is sin(x)
sin(x) = opposite/hypotenuse
Given that the magnitude of hypotenuse > opposite, the ratio, opposite/hypotenuse is < 1 in magnitude
The domain of arcsin(x) is therefore;
-1 < sin(x) < 1, which is (-1, 1)The range is the set of possible outputs, which is [-π/2, π/2], given that sin(x) is positive and negative from -π/2, π/2
The range is [-π/2, π/2]arccos(x)
Similarly;
The domain of arccos (x) is (-1, 1) The range is [0, π]arctan(x)
The input of arctan(x) is tan(x)
tan(x) = sin(x)/cos(x)
The domain of arctan(x) is therefore;
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609+283+97 pls help help helpp
Answer:
989
Step-by-step explanation:
Answer:
986
DO NOT HAVE A GOOD DAYHAVE A GREAT DAYelijah says that 9.56556555 is a rational number.Donna disagrees and says the number is irrational. Decide who is correct and what might likely cause one of them to make the error.
Answer:
It is a rational number because it is a repeating number.
Step-by-step explanation:
One might think it isn't rational because it isn't just one number repeating. But because it has a consistent number, it is rational.
Cam someone help plss
Answer:
let y=0
3x+6(0)=18
3x=18
x=6
(6;0)
Answer: 3
Step-by-step explanation: If you solve the equation, like I did in the attached image, you will see that the x-intercept is 3.
She pays a total of $59.53. She pays a total of $6.49 for the ice cream. She buys 8 bags of oranges that each cost the same amount.
Answer:
price of oranges is 6.63
Step-by-step explanation:
1)59.53-6.49=53.04
2) 53.04/8=6.63
Explain why (4) × (-5) = 20. Use patterns, an example from the Integer Game, or the properties of operations to support your reasoning.
Multiplying (-4) × (-5) we get 20. Here is the reason.
There are a few properties of integers which determine its operations. These principles or properties help us to solve many equations. To recall, integers are any positive or negative numbers, including zero. Properties of these integers will help to simplify and answer a series of operations on integers quickly.
All properties and identities for addition, subtraction, multiplication and division of numbers are also applicable to all the integers. Integers include the set of positive numbers, zero and negative numbers which are denoted with the letter Z.
Z= ( -5, -4,-3,-2,-1,0,1,2,3,4,5)
Integers have 5 main properties of operation which are:
Closure Property
Associative Property
Commutative Property
Distributive Property
Identity Property
While doing multiplication we use the following rules:
Minus multiply plus= minusMinus multiply minus= plusPlus multiply minus = minusPlus multiply plus = plusSo using second rule we can write (-4×-5)= 20.
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3
Point 0 is on live segment NP.
If OP= 3 and NO=15, what is
length of NP.
According to the length, the length of the NP become 18.
According to the statement
We have to find that the length of the NP.
So, For this purpose, we know that the
The length of this line segment is the distance between its endpoints A and B.
From the given information:
Point O is on live segment NP.
If OP= 3 and NO=15,
Then
Let draw a diagram and after seeing it in image we know that the:
NO=15 and OP= 3
And
Np is the sum of the op and no.
Then
NP = OP + NO
NP = 3+ 15
NP = 18.
Then the length of the NP become 18.
So, According to the length, the length of the NP become 18.
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Two pounds of grapes cost `\$5`. jordan says that's `2.5` pounds per dollar. emika says it's `0.4` pounds per dollar. which rate is correct?
The rate of grapes said by Emika i.e., 0.4 pounds per dollar is the correct rate.
We know that the rate is nothing but the ratio of two different quantities which have different units.
In this question, we have been given two pounds of grapes cost $5
First we find the rate in pounds per dollar.
2 pounds of grapes = $5
As rate is the ratio of two different quantities, we find the ratio (pounds per dollar).
= 2 pounds /5 dollars
= (2/5) pounds per dollar
= 0.4 pounds per dollar .......(1)
This means the rate of grapes is 0.4 pounds per dollar.
In this question, we have been given Jordan says that's 2.5 pounds per dollar and Emika says it's 0.4 pounds per dollar.
From (1), we can clearly say that Emika is correct.
Therefore, the rate of grapes said by Emika i.e., 0.4 pounds per dollar is the correct rate.
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the square quilt block shown is used in a larger quilt. the four small squares in the block are congruent, and the four small vertical rectangles in the block that are not squares are also congruent. the total area of the shaded regions is what fraction of the total area of the block? express your answer as a common fraction.
The total area of the shaded regions in fraction of the total area of the block is 3/8 as the common fraction.
What is common fraction?A common fraction, sometimes known as a common fraction, is a fraction with an integer numerator and denominator. A common fraction may be used to identify a portion of a larger whole or set.
What is the formula for calculating a common fraction?Multiply each component of a fraction by both the denominator of another fraction to find the common denominator. To calculate the common denominator of 1/3 + 2/5, multiply the 1 through 3 by 5 and the 2 and 5 by 3. You should obtain a total of 5/15 + 6/15. The fractions can then be calculated.
According to the given data:Let's divide each square across four equal sections, for a total of 16 sections..
Using symmetry, one of the four portions in the top left square is shaded, and the same is true for the bottom right square.
Furthermore, two of the four squares inside this top right and bottom left corners are darkened.
Consequently,
the shaded area is:
{1 + 1 + 2 + 2}/ 16
6 /16 = 3 / 8
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The length of a bacterial cell is about 5 x 10−6 m, and the length of an amoeba cell is about 3.5 x 10−4 m. how many times smaller is the bacterial cell than the amoeba cell? write the final answer in scientific notation with the correct number of significant digits. 1.4 x 101 7 x 101 143 x 101 7 x 103
The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.
What are scientific notations?
Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.
Calculation of the amount by which a bacterial cell is smaller than the amoeba cell
Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)
The length of a bacterial cell in scientific notations is 5 × 10^(- 6)
To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.
= 3.5 × 10^(- 4) / 5 × 10^(- 6)
= 0.7 × 10^(2)
= 7 × 10^(1)
Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.
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Which is the solution set of the inequality 15y - 9 < 36?
A. y > 9/5
B. y < 9/5
C. y > 3
D. y < 3
Answer:
D
Step-by-step explanation:
y < 3
ILL GIVE BRAINLIEST !!!!!!
Answer:
See explanation
Step-by-step explanation:
a. [tex]\sqrt{49}[/tex]=7
b. 0, [tex]\sqrt{49}[/tex] ==> 0 is a whole number, not a natural number
c. -9, 0, [tex]\sqrt{49}[/tex]
d. -9, -3/7, 0, 0.25, 6.7, [tex]\sqrt{49}[/tex]
e. [tex]\sqrt{2}[/tex] since it has an infinite number of digits and can't be given as a ratio of two integers.
f. -9, -3/7, 0, 0.25, [tex]\sqrt{2}[/tex], 6.7, [tex]\sqrt{49}[/tex] ==> Real numbers consist of both rational and irrational numbers
248 miners need to ride the elevator to the bottom of the mine. The elevator can hold 9 miners at a time. How many miners will be in the elevator on its last trip?
PLEASE HELP ASAP! Solve the system of equations by graphing on your own paper. Write the solution as an ordered pair (x, y)
y=2x+1
y=4x-5
Answer:
Step-by-step explanation:
its 6 2 + 5 = 9-2 = 6
Evaluate the function h(x) =13-x when x=-3,0, and 8
Answer:
16, 13, 5
Step-by-step explanation:
h(-3)=13-(-3)
h(-3)=13+3
h(-3)=16
h(0)=13-(0)
h(0)=13
h(8)=13-(8)
h(8)=5
Hope this helps.
Which statement about the product is true? (1 point)
5.643 x 4.6
O The product is irrational.
The product is neither rational nor irrational.
O The nature of the product cannot be determined.
O The product is rational.
Answer:
The product is rational.
Step-by-step explanation:
The height, in meters, of a machine piston can be modeled by the regression equation y = 4.4sin(0.4x -1.7) +2.3,
where x represents time, in seconds.
To the nearest tenth of a meter, what is the height of the piston after 10 seconds?
O 1.6 m
O 25m
O 3.3 m
O
5.6 m
The height of the machine piston after 10 seconds is 2. 5m . Option B
How to determine the value
Given the function;
y = 4.4 sin (0.4x -1.7) +2.3,
Where;
x represents time in secondsy is the height of the machine pistonGiven x as 10 seconds
y = 4. 4 sin ( 0.4(10) - 1. 7) + 2. 3
y = 4. 4 sin ( 4 - 1. 7) + 2. 3
y = 4. 4 sin (2. 3) + 2. 3
y = 4. 4(0. 04013) + 2. 3
y = 2. 47
y = 2. 5 meters in the nearest tenth
Thus, the height of the machine piston after 10 seconds is 2. 5m . Option B
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Answer:
D. 5.6 m
Step-by-step explanation:
Use your context clues.
All the other answers had O, like an X, so I put D, which was correct. *Wink*
What is the difference of 18 ‒ (‒8)?
Answer: 26
Step-by-step explanation:
Answer:
26 is the answer because we have to subtract when the signs of the number are diffrent and add when it is same . so +18 - (-8) = 26
I need help I’m confused please, anyone?
Answer:
-2.
Step-by-step explanation:
x = 0 where the line passes through the y axis.
So, from the diagram we see that at x = 0, f(x) = -2.
the sum of her test scores 88+80=168 also she took 2 tests. her average would be?
the answer should be written in the form of coordinates.
Asap pls
Answer: her average is 84
Step-by-step explanation:
88+80=168/2 =84
I can figure out the steps -X=35
Answer:
-35
Step-by-step explanation:
−X=35
Multiply both sides by −1.
X=−35
I hoped this helped! Contact me for more information if you need anything else!
What is the first step to solving
the following equation?
3(3x 8) = 4x+6
Is it Combine Like Terms
Subtraction Property of Equality
Or
Distribution Property
Division Property of Equality
Solve for x. Please show work.
2x + 6 = -3x - 14
A) 16 Miss Violet was in the cafeteria.
B) -16 Mrs. Teal was in the library.
C) 3.2 Mr. Brown was in the auditorium.
D) -4 Ms. Ivory was in the student center.
E) 4 Prof. Gray was in the library.
Answer:
D
Step-by-step explanation:
2x+6=-3x-14
2x+3x=-14-6
5x=-20
x=-4
Answer:
X = -4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
simplify three square root of five end root minus two square root of seven end root plus square root of forty five end root minus square root of twenty eight. (1 point)
The expression is simplified to 6√5 - 4√7
How to simplify the expressionFrom the information given, we have that;
[tex]3\sqrt{5} - 2\sqrt{7} + \sqrt{45} - \sqrt{28}[/tex]
Let's find the surd forms with perfect squares and add into the formula
3√5 - 2√7 + √9 ×5 - √7× 4
Find the perfect squares of the expression
3√5 - 2√7 + 3√5 - 2√7
collect like terms
3√5 + 3√5 - 2√7 - 2√7
Add like terms
6√5 - 4√7
Thus, the expression is simplified to 6√5 - 4√7
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The following table presents the time taken to review articles that were submitted for publication to a particular journal during a recent year. A few articles took longer than 6 months to review; these are omitted from the table. Consider the data to be a population.
A) Variance = 10.24
B) Standard Deviation = 3.2
One of the measurements of dispersion is the standard deviation, which is exclusively used for quantitative data. It aids in determining if the data's mean is a suitable measurement to reflect the core value.
TIME FREQUENCY(f) MIDPOINT(x) d d² fd fd²
0 - 0.9 43 0.45 -3 9 -129 387
1.0 - 1.9 17 1.45 -2 4 -34 68
2.0 - 2.9 19 2.45 -1 1 -19 19
3.0 - 3.9 18 3.45 0 0 0 0
4.0 - 4.9 14 4.45 1 1 14 14
5.0 -5.9 16 5.45 2 4 32 64
∑f = 127
∑fd = -136
∑fd² = 552
[tex]d = \frac{x - 3.45}{1}[/tex]
Standard Deviation = [tex]\sqrt \frac{fd^{2} }{N} - \sqrt \frac{(fd)^{2} }{N} * i[/tex]
[tex]\sqrt \frac{552}{127} -\sqrt (\frac{-136}{127})^{2} * 1[/tex]
√4.35 - √1.15
Standard Deviation = 3.2
(SD)² = (3.2)² = 10.24
Variance = 10.24
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2(2x + 3) + 5x + 1 = -11
Answer:
-2
Step-by-step explanation:
2(2x + 3) + 5x + 1 = -11
x = -2
2(2× +3) + 5× +1 = -11
Multiply the 2 to what is in the bracket
4×+ 6 + 5× +1 = -11
Group liketerms
4× + 5× = -11 - 1 -6
simply it
9× = - 18
we will divide them by the co-efficient of ×
9× = - 18
________
9 9
x = - 2
A certain school's enrollment increased 6% this year over last year's enrollment. If the school now has 1378 students enrolled, how many students were enrolled last year?
A. 1295
B. 1300
C. 1350
D. 1460
E. 1500
If the school now has 1,378 students enrolled, last year, the number of students enrolled was B. 1,300.
How is the number of students determined?Using the mathematical operations of addition, subtraction, division, and multiplication, we can determine the number of students.
Mathematical operations help us to determine unknown values, given a known domain.
Data and Calculations:Increase in school enrollment over last year's = 6%
Enrollment for the current year = 1,378
Let last year's enrollment = 100%
And the current year's = 1.06 (100 + 6)
Therefore, the enrollment last year = 1,300 (1,378/1.06)
Thus, the enrollment (number) last school year was B. 1,300.
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write a two-column proof to verity each conjecture. If -3r+1/2= 4 the r=-7/6
If -3r + 1/2 = 4, then it is true that r=-7/6
How to write a two-column proof to verity each conjecture?The equation is given as:
-3r + 1/2 = 4
And the solution is given as
r=-7/6
The two-column proof is as follows:
-3r + 1/2 = 4 ---- Given-3r = 4 - 1/2 ----- Subtract property of equation-3r = 3 1/2 ----- Subtract property of equation-3r = 7/2 ----- Convert to improper fractionr = -7/6 ----- Division property of equationHence, if -3r + 1/2 = 4, then it is true that r=-7/6
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Here is the histogram of a data distribution.
What is the shape of this distribution?
O A. Unimodal skewed
• B. Bimodal symmetric
• C. Unimodal symmetric
• D. Bimodal skewed
O E. Uniform
Answer: your answer would be unimodal skewed. This graph only has one maxima, thus it can't be bimodal. However, it's not symmetric, meaning that it is skewed
Hope this helps you
Step-by-step explanation:
The histogram is solved and it is uni-modal skewed
What is Histogram?A graph called a histogram is used to show the frequency distribution of a small number of data points for a single variable.
A histogram displays the frequency distribution of a set of continuous data. It is useful for visualizing the shape of the data distribution, such as whether it is symmetrical or skewed, and identifying any outliers or gaps in the data.
Given data ,
Let the histogram be represented as A
Now , the value of A is plotted on the graph
A. Unimodal skewed: This distribution has one peak (mode) and the tail of the distribution extends to one side. Depending on which side the tail is longer, it can be either positively skewed (tail extends to the right) or negatively skewed (tail extends to the left).
B. Bimodal symmetric: This distribution has two distinct peaks (modes) and is symmetric, meaning the left and right sides of the distribution are roughly mirror images of each other.
C. Unimodal symmetric: This distribution has one peak (mode) and is roughly symmetric, meaning the left and right sides of the distribution are roughly mirror images of each other.
D. Bimodal skewed: This distribution has two distinct peaks (modes) and the tail of the distribution extends to one side for each peak. Depending on which side each tail is longer, it can be either positively skewed (tail of one peak extends to the right and the other to the left) or negatively skewed (tail of one peak extends to the left and the other to the right).
E. Uniform: This distribution is flat and has roughly equal frequency for all values in the range of the dataset.
Hence , the histogram is unimodal skewed
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admission to a certain university is determined by an entrance exam. the scores of this test are normally distributed with a mean of 400 and a standard deviation of 60. only students who score in the top 30% will be offered admission. april scores 425 on the test. choose the most accurate statement.
Only students who score in the top 30% will be offered admission - this statement is accurate.
What is the mean and standard deviation of the entrance exam?In insights, the standard deviation is a proportion of how much variety or scattering of a bunch of values. A low standard deviation shows that the qualities will generally be near the mean of the set, while an elevated expectation deviation demonstrates that the qualities are fanned out over a more extensive territory. The standard deviation can generally be determined considerably more effectively with a number cruncher, and this might be satisfactory in certain tests. On my adding machine, you go into the standard deviation mode. Consequently, the main distinction among change and standard deviation is the units. For instance, in the event that we took the hours of 50 individuals running a 100-meter race, we would catch their time like a flash. Standard deviation assumes a vital part in the realm of money. In finance standard deviation is a factual estimation, when it's applied to the yearly pace of return of a venture.
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