The absence of unexpected values or discontinuities is referred to as a function's continuous nature.
A continuous function is one in which a shift in the argument causes a continuous change in the value of the function, which is a change without a noticeable jump. This shows that there are no abrupt changes in value or discontinuities. More exactly, a function is continuous if it is possible to guarantee that, even with arbitrarily small changes to its parameter, its value won't change dramatically. Any function that is discontinuous is referred to as such.
A function is referred to as continuous if it is constant for all values of x inside its domain. The ability to simulate and evaluate physical occurrences and mathematical relationships involving smoothly varying numbers makes continuous functions crucial in many branches of mathematics and science.
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Simplify this equation:
Answer:
[tex]8y^{3}[/tex]
Step-by-step explanation:
First you move like terms together. This leads to the equation, (2*2^2)(y^2*y). (2*2^2) is (2*4), or 8, and y^2*y is y^3. This means the simplifies equation is 8(y^3).
Answer:
Step-by-step explanation:
Given
[tex]\left(y^22\right)\left(y2^2\right)[/tex]
Lets simplify.
Remove the parenthesis.
[tex]y^2*2*y*2^2[/tex]
Rearrange the terms. (commutative property)
[tex]y*y^2*2*2^2[/tex]
Rewrite [tex]y[/tex] as [tex]y^1[/tex].
[tex]y^1y^2*2*2^2[/tex]
Use the power rule to combine the exponents.
[tex]y^{1+2} *2*2^2[/tex]
[tex]y^{3} *2*2^2[/tex]
Evaluate [tex]2*2^2[/tex].
[tex]2*2*2=8[/tex]
[tex]y^3*8=8y^3[/tex]
[tex]8y^3[/tex]
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Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one. Which of these is not an option for Jacob?
Responses
He can buy the computer using cash once he has saved enough money. He can buy the computer using cash once he has saved enough money. He can purchase the computer now using his his debit card. He can purchase the computer now using his his debit card. He can purchase the computer now using his his credit card. He can purchase the computer now using his his credit card. He can put more money in his bank account and use his debit card to purchase the computer at a later date. He can put more money in his bank account and use his debit card to purchase the computer at a later date
The option that is not available to Jacob is: He can purchase the computer now using his debit card, even though he does not have enough money in his bank account to cover the cost.
Using a debit card requires that there are sufficient funds in the linked bank account to cover the transaction. If there is not enough money available, the transaction will be declined. Therefore, Jacob cannot purchase the computer using his debit card unless he has enough funds in his account. The other options, including saving up to purchase the computer with cash, using a credit card, or putting more money in his bank account to use his debit card at a later date, are all valid options for Jacob.
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why does increasing the concentraction of reactants increase the reaction rate
Increasing the concentration of reactants typically increases the reaction rate
What is the rate of reaction?
The rate of the reaction indicates the speed with which the reaction is completed or product is formed.
Increasing the concentration of reactants typically increases the reaction rate because it increases the frequency of collisions between the reactant molecules.
In a chemical reaction, the reactant molecules must collide with each other with sufficient energy and proper orientation for the reaction to occur. If the concentration of reactants is low, there will be fewer reactant molecules present in a given volume, and therefore, fewer collisions will occur. As a result, the reaction rate will be slower.
On the other hand, if the concentration of reactants is high, there will be more reactant molecules present in a given volume, and therefore, more collisions will occur. This increased frequency of collisions leads to a higher probability that reactant molecules will have sufficient energy and proper orientation to react, and thus, the reaction rate will be faster.
It's important to note that increasing the concentration of reactants will only increase the reaction rate up to a certain point. Beyond a certain concentration, the reaction rate will not increase further, as the reactant molecules will already be colliding with each other at a high enough frequency to produce the maximum possible reaction rate.
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How to convert 941 schedule b?
Converting a 941 Schedule B can be broken down into a few simple steps are include the employee's names, Social Security numbers, and total wages paid during the pay period.
First, you'll need to gather all the necessary information required for the conversion process.
Once you have this information, you'll need to calculate the total amount of taxes withheld from each employee's paycheck. This is where mathematical calculations come into play. To calculate the tax withheld, you'll need to use the tax withholding tables provided by the IRS.
These tables will help you determine how much tax to withhold based on each employee's income and filing status. The total amount of tax withheld from each employee's paycheck is then added up to get the total amount of tax withheld for the entire pay period.
Finally, you'll need to transfer this information onto the 941 Schedule B. This document is used to report the total amount of tax withheld for each pay period, and it's essential that the information is accurate.
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the weights of a sample of three adult males are (in pounds) 160, 215, and 195. the standard error of the mean of these three weights is
Answer:
The mean is 190
Step-by-step explanation:
To solve this problem you need to add up the 3 weights (160,215 and 195) after doing so you should get 570 then to get the mean divide 570 by 3.
A triangle with exterior angles is shown. A horizontal line intersects with a diagonal line. Another line connects the horizontal line to the diagonal line to form a triangle. The exterior angle at the top left of the triangle is 130 degrees. The exterior angle at the top right of the triangle is x degrees. The exterior angle at the bottom of the triangle is 134 degrees.
The value of x is _____.
In the triangle the value for x is obtained as option B: 96°.
What are triangles?
Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.
Use the fact that the sum of the exterior angles of a triangle is always 360°.
Let the unknown exterior angle be x.
So, the equation will be -
130° + 134° + x = 360°
264° + x = 360°
x = 360° - 264°
x = 96°
Therefore, the value is obtained as 96°.
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1) At a pet store, the ratio of female birds to male birds was 5:3. Write a sentence explaining what this means.
This statement simply means there are more female birds in the pet store than there are male birds. It also means for every 5 female birds in the pet store there are 3 male birds
Ratio: Writing the meaning of a sentenceFrom the question, we are to write a sentence that explains what the given sentence means.
From the given information, the given sentence is
"At a pet store, the ratio of female birds to male birds was 5:3"
This statement simply means there are more female birds in the pet store than there are male birds; or there are less male birds in the pet store than there are female birds. It also means for every 5 female birds in the pet store there are 3 male birds; or for every 3 male birds in the pet store, there are 5 female birds.
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What is superposition principle explain with example?
The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.
When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.
The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.
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Destiny wants to know if a quadrilateral can be rotated so that each side is parallel to the corresponding side of its image.
Which statement is true?
A) This is possible only for 180° rotations.
B) This is possible for all types of rotations.
C) This is possible for any clockwise rotation.
D) This is not possible for any type of rotation.
Answer:
A) Only for 180° rotations
Step-by-step explanation:
You want to know if a quadrilateral can be rotated so that each side is parallel to the corresponding side of its image.
RotationIn general, a line segment's image will be parallel to the original if it is rotated 180°. Hence the line segments that make up a quadrilateral's image will be parallel to corresponding sides if the quadrilateral is rotated 180°.
The attachment shows a quadrilateral rotated 180°.
__
Additional comment
We assume that the "corresponding side" of AB is A'B' in the image.
If square ABCD is rotated 90°, then side AB will be parallel to side B'C', and the same will be true for 3 other pairs of sides. For the purpose of this question, we don't consider AB and B'C' to be "corresponding" sides.
a researcher wants to determine whether there is a significant linear relationship between time spent meditating and time spent studying. what is the appropriate null hypothesis for this study?
If the p-value is less than the chosen level of significance (usually 0.05), then the null hypothesis would be rejected in favor of the alternative hypothesis.
What is null hypothesis ?
A null hypothesis is a statement or assumption that there is no significant difference between two groups or no significant relationship between two variables.
The appropriate null hypothesis for this study would be that there is no significant linear relationship between time spent meditating and time spent studying. Symbolically, this can be written as:
H0: There is no significant correlation between time spent meditating and time spent studying.
The alternative hypothesis, in this case, would be that there is a significant linear relationship between the two variables, which is represented as:
Ha: There is a significant correlation between time spent meditating and time spent studying.
To test this hypothesis, the researcher could conduct a correlation analysis using statistical software, which would provide a correlation coefficient and a p-value.
Therefore, If the p-value is less than the chosen level of significance (usually 0.05), then the null hypothesis would be rejected in favor of the alternative hypothesis.
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1. A school orders 120 calculators.
The school receives a shipment containing 80%
of the order,
and 1 out of every 3 of these calculators is black.
How many black calculators has the school received
in this shipment?
a.32
b.40
c.50
d.96
Answer:
A. 32
Step-by-step explanation:
80% of 120 is 96
So 96 divided by 3 is 32, so 32 x 3 = 96
Which means 32/96 also equals 1/3
Pls answer fast :) I would love to give you points
Answer:
The builder has 28,200m^2 left to build the houses.
Step-by-step explanation:
For the roads,
They are 3m wide and they stretch 200m.
We must find the area for one road and multiply by three.
Area = Length * Width
Area = 200m * 3m
Area = 600m^2
600 * 3 = 1800m^2
1800m^2 is taken up by the three roads.
Next, we must find the total area of the field.
Area = Length * Width
Area = 200m * 150m
Area = 30,000m^2
30,000m^2 is the total area of the field, and we need to subtract the area the roads take up to determine the area left for the houses.
30,000m^2 - 1800m^2 = 28,200m^2
The builder has 28,200m^2 left to build the houses.
Answer:
The builder has 28,200m^2 left to build the houses.Step-by-step explanation:For the roads,They are 3m wide and they stretch 200m.We must find the area for one road and multiply by three.Area = Length * WidthArea = 200m * 3mArea = 600m^2600 * 3 = 1800m^21800m^2 is taken up by the three roads.Next, we must find the total area of the field.Area = Length * WidthArea = 200m * 150mArea = 30,000m^230,000m^2 is the total area of the field, and we need to subtract the area the roads take up to determine the area left for the houses.30,000m^2 - 1800m^2 = 28,200m^2The builder has 28,200m^2 left to build the houses.
Step-by-step explanation: hope this helps0^0
what is 15 in a decimal?
The value of 15 percent after converted into decimal is given by 0.15.
Convert percent into decimal :
One percent represents the one part by converting it into hundred equal parts.
⇒ 1 percent = ( 1 / 100 ) part
⇒ 1 percent = ( 0.01 ) in decimals
Substitute the value of 15 percent to get it into decimals we get,
⇒ 15 percent = ( 15 ) × ( 0.01 ) in decimals
⇒ 15 percent = ( 15 × 0.01 ) decimals
⇒ 15 percent = ( 0.15 ) decimals
Therefore, after converting 15 percent into decimals it is equal to 0.15.
The above question is incomplete , the complete question is :
What is 15 percent in a decimal ?
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Factoriser A(x)=(x+2)^2
Answer:
Below
Step-by-step explanation:
(x+2)^2 is just (x+2)(x+2) factored
What is the best answer to report for (515 x 0.0025) +24.57? A. 25.858. B. 25.85.
C. 25.8575. D. 26. E. 25.9
The best answer to submit for (515 x 0.0025) + 24.57 is 25.8575.
A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. Decimal notation is the name for the method used to represent numbers in the decimal system. The Hindu-Arabic numeral system has been expanded to include non-integer values.
To find the answer to the expression (515 x 0.0025) +24.57, we can simplify it by performing the multiplication and addition in the correct order:
(515 x 0.0025) + 24.57 = 1.2875 + 24.57 = 25.8575
Therefore, the best answer to report is C. 25.8575.
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Kendrick is frantic. He remembers that several years ago he buried his Amazing Electron Ring in his little sister’s sandbox, but he cannot remember where. A few minutes ago he heard that someone is willing to pay 1000 for it. He has his shovel and is ready to dig
a. Probability of finding the ring is 0.2 or 20%.
b. Probability of not finding the ring is 0.8 or 80%.
c. Digging in the shaded square region at the right does not improve Kendrick's chances of finding the ring because the probability of finding the ring per unit area is the same in all the regions.
What is the probability of finding the ring in the 2-foot square region?The probability of finding the ring in the 2-foot square shaded region can be calculated below as follows:
Probability = (area of shaded region) / (area of entire sandbox)
area of the shaded region = 2 * 2
area of the shaded region = 4
area of the entire sandbox = 5 * 4
area of the entire sandbox = 20
Probability = 4 / 20
Probability = 0.2 or 20%.
b. The probability of not finding the ring:
Probability of not finding the ring = 1 - Probability of finding the ring
Probability of not finding the ring = 1 - 0.2
Probability of not finding the ring = 0.8 or 80%.
c. Digging in the larger square region does not improve Kendrick's chances of finding the ring because the probability of finding the ring depends only on the ratio of the area of the shaded region to the area of the entire sandbox.
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The price of chicken breast rises from $3.00 to $3.60 per pound. In response to the price change, the demand for chicken breast falls by 25%. The absolute value of the price elasticity of demand for chicken breast is _____, and the price elasticity of demand is _____.a. 0.8; inelasticb. 1.25; inelasticc. 0.8; elasticd. 1.25; elastic
Answer: We can use the formula for the price elasticity of demand to solve this problem:
Price elasticity of demand = percent change in quantity demanded / percent change in price
We are given that the price of chicken breast rises from $3.00 to $3.60 per pound, which is a 20% increase:
percent change in price = (3.60 - 3.00) / 3.00 = 0.20 = 20%
We are also given that the demand for chicken breast falls by 25%, which is a 25% decrease:
percent change in quantity demanded = -25%
Using these values in the formula, we get:
Price elasticity of demand = (-25%) / (20%) = -1.25
Since we are interested in the absolute value of the price elasticity of demand, we have:
|Price elasticity of demand| = |-1.25| = 1.25
A price elasticity of demand greater than 1 is considered elastic, and a price elasticity of demand less than 1 is considered inelastic. Therefore, the answer is (d) 1.25; elastic.
Step-by-step explanation:
Please help if your good at Geometric Congruence. Answer the equation below. Thank you!
The possible value of x are + √15 and - √15
What are congruent angles?Angles who are of same measurement are called congruent.
Suppose that two angles ∠A and ∠B are of same measure, then
[tex]m\angle A = m\angle B[/tex]
is the notation to say that they are of same measurement, where the small m shows that its the measurement of the angles they're preceding.
Then the congruency between them as;
[tex]\angle A \cong \angle B[/tex]
angle EAB = 2x² + x
angle EDA = x + 30
Here we can see the angle EAB and angle EDA are equal
So,
2x² + x = x + 30
2x² + x - x = 30
2x² = 30
x² = 15
x =±√15
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The average daily temperature in Peoria, Illinois, can be predicted.
Using the formula T=50−28cos[2π(x−31)365], where x is the number of the day in the year (January 1 = 1, Febuary 1=32, etc.) and T is in degrees Fahrenheit.
Question: What is the expected temperature on Febuary 15?
The expected temperature on February 15 would be 77.72 °F.
What is temperature?Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.
Given is that the average daily temperature in Peoria, Illinois, can be predicted using the formula T = 50 - 28cos[2π(x−31)365], where {x} is the number of the day in the year.
The value of {x} for February 15 would be -
{x} = 46
So, we can write the temperature as -
T{46} = 50 - 28 cos[2π(46−31)365]
T{46} = 50 - 28 cos[2π x 15 x 365]
T{46} = 50 - 28 cos[2π x 15 x 365]
T{46} = 50 - 28 cos[34383]
T{46} = 50 - 28 x -0.99
T{46} = 77.72
Therefore, the expected temperature on February 15 would be 77.72 °F.
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I really need help with this question
Volume of a cone
1/4π ft³
To find the volume of the cone, we use the formula
volume = (1/3) × π × r² × h
From the question, we are given its height and radius
we substitute for these in the equation above. these will give us the answer. (note in terms of pi)
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Divide. Give the quotient and remainder 211 / 4
Answer:
52.75
i hope it helps
Solve |h+3|<5. Write the solution set using set-builder notation.
Answer:
To solve the inequality |h + 3| < 5, we need to consider two cases, depending on whether the expression inside the absolute value bars is positive or negative:
Case 1: h + 3 >= 0
If h + 3 >= 0, then we can remove the absolute value bars without changing the inequality:
h + 3 < 5
Subtracting 3 from both sides, we get:
h < 2
So the solution for this case is h < 2.
Case 2: h + 3 < 0
If h + 3 < 0, then the inequality becomes:
-(h + 3) < 5
Multiplying both sides by -1 (and reversing the inequality), we get:
h + 3 > -5
Subtracting 3 from both sides, we get:
h > -8
So the solution for this case is h > -8.
Putting these two solutions together, we have:
-8 < h < 2
Therefore, the solution set in set-builder notation is:
{h | -8 < h < 2}
The NCAA basketball tournament begins with 64
teams, and after each round, half the teams are
eliminated. The number of remaining teams t(n) is
an exponential function of the number n of rounds
already played.
The exponential function that defines the number of teams remaining after n rounds is given as follows:
y = 64(0.5)^x, 0 ≤ x ≤ 6.
How to define the exponential function?The standard definition of an exponential function is given as follows:
y = a(b)^x + c.
In which:
a is the value of y when x = 0.b is the rate of change.The initial number of teams is of 64, hence the parameter a is given as follows:
a = 64.
Each round, the number of teams is cut by half, as the losers of each game are eliminated, hence the parameter b is given as follows:
b = 0.5.
Hence the function is defined as follows:
y = 64(0.5)^x.
The domain is 0 ≤ x ≤ 6 as:
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Time series graph
Matthew wants to use his trend line to predict the numbers of houses sold in wales in 2016 by extrapolation
Give a danger associated with using extrapolation when making predictions.
A danger that is associated with using extrapolation when making predictions is assuming that the underlying patterns will continue into the future.
What is a disadvantage of using extrapolation ?One danger of using extrapolation when making predictions is that it assumes that the underlying patterns observed in the data will continue into the future.
However, there may be external factors or other variables that are not accounted for in the data that could cause the patterns to change or break down. For example, if there is a major economic or political event that affects the housing market, the trend observed in previous data may not hold up in the future.
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if 'a' is the Geometric mean of 2 and 1/4 then find 'a'
The geometric mean of two numbers is the square root of their product. Hence, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118.
Finding the Geometric Mean of Two NumbersRecall that the geometric mean of two numbers is the square root of their product. This means that we need to multiply the two numbers (2 and 1/4) and then take the square root of the result.
Multiply 2 and 1/4:
2 × 1/4 = 1/2
Take the square root of the result:
a = √(1/2)
Simplify the square root:
a = √(1/2) = √(1)/√(2) = 1/√(2)
Rationalize the denominator by multiplying the top and bottom by √(2):
a = (1/√(2)) × (√(2)/√(2)) = √(2)/2
Approximate the result to a desired level of accuracy, if necessary. In this case, rounding to 11 decimal places gives:
a ≈ 0.70710678118
Therefore, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118
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A carpet in Frank’s house has a length of 2 1/4 meters and a width of 1 1/5 meters. What is the area of the carpet? 6 9/10 meters 2 1/20 square meters 2 7/10 square meters 2 7/20 meters
The area of the carpet is [tex]2 7/20[/tex] square meters.
The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
To find the area of the carpet, we need to multiply its length by its width.
The mixed numbers must first be transformed into improper fractions:
Length: 21/4 = 9/4
Width: 11/5 = 6/5
Then we can multiply:
Area = length x width
Area = (9/4) x (6/5)
Area = 54/20 or 27/20 square meters
Therefore, the area of the carpet is 27/20 square meters.
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Simplify, Rationalize the denominator.
[tex]\frac{9}{7+\sqrt{2} }[/tex]
Answer:
[tex]\frac{9(7-\sqrt{2}) }{47}[/tex]
Step-by-step explanation:
Juan baked 250 cookies in 2 hours, How many cookies can he make in 1 minute?
If Juan baked 250 cookies in 2 hours, then he can make approximately 2.08 cookies in one minute.
The unitary method involves finding the value of one unit and then using that to find the value of any number of units.
In this problem, the unit we are interested in is cookies per minute. We need to find out how many cookies Juan can make in one minute, given that he can make 250 cookies in 2 hours.
To find out how many cookies Juan can make in one hour, we can use the unitary method as follows:
1 hour = 60 minutes (since there are 60 minutes in one hour)
So, if Juan can make 250 cookies in 2 hours, he can make:
250 cookies / 2 hours = 125 cookies per hour
Using the unitary method again, we can find out number of cookies Juan can make in one minute:
1 hour = 60 minutes
So, Juan can make:
125 cookies / 60 minutes = 2.08 cookies per minute
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-10
5
What is the y-intercept?
-5
10
10
0
5
X
10
The y-intercept of the graph of this line is equal to 1.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.What is y-intercept?In Mathematics, the y-intercept is sometimes referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
In this context, we can logically deduce that the y-intercept as shown in the image attached below is at point (0, 1).
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What is the x-intercept of a line
Answer:
The x-intercept is the point where a line crosses the x-axis
Step-by-step explanation: