The correct statement regarding the continuity of differentiable functions is given as follows:
D. Yes, if f is differentiable at a, then f is continuous at a.
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
For a function to be classified as differentiable, the function must be continuous, plus the first derivative of the function must also be continuous.
This means that all differentiable functions are continuous, and thus the correct option is given by option D.
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Tasha is trying to solve 1 ⅙ - ⅚. She says it’s impossible because you only have ⅙, so you can’t take away ⅚. Explain how Tasha can solve this problem. Please help me
Tasha can make 1 1/6 an improper number making 1 1/6=7/6. Then she can subtract 7/6-5/6, which is 2/6. Simplified 1/3.
Now it's not impossible! ;D
What is the perimeter of a regular dodecagon with a side length of 5√6 inches?
A. 50√6 inches
B. 60√6 inches
C. 60√30 inches
D. 360√2 inches
E. 55√6 inches
The perimeter of a regular decagon with sides 5√6 is 50√6 ( option A)
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
The perimeter of a shape is obtained by adding all the sides together.
Therefore, if one side is 5√6 inches, a decagon which is of 10sides will have 5√6 inches at all it's sides because it is a regular polygon.
Therefore P= 5√6 × 10
P = 50√6 inches.
therefore the perimeter of the decagon is 50√6 inches
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A restaurant has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2. 5 feet in size. The height is 4 feet. How many square feet of glass was used in making this aquarium? ***hint---where is the glass part of the aquarium?***.
45 square feet of glass was used in making this aquarium.
A region's size on a surface is determined by its area. The term "surface area" refers to the area of an open surface or the perimeter of a three-dimensional object, whereas "plane area" refers to the area of a shape or planar lamina.
The base of the aquarium is 6 feet by 2.5 feet, so its area is 6 x 2.5 = 15 square feet.
Since the aquarium is a rectangular prism, it has three sides that are the same size as the base. So, each of the three sides has an area of 15 square feet.
Therefore, the total area of glass used in making the aquarium is 3 x 15 = 45 square feet.
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what are the factor pairs needed to answer 3z^2 + 26z - 9
Answer:
daddy
Step-by-step explanation:
hey daddy
Answer:
Therefore, the factor pairs needed to answer 3z^2 + 26z - 9 are (-3, 9) and (3z - 1, z + 9).
Step-by-step explanation:
To factor the quadratic expression 3z^2 + 26z - 9, we need to find two numbers that multiply to give us 3 times -9 = -27, and add up to 26.
One way to do this is to list all the factor pairs of -27 and look for the pair that has a sum of 26:
-27 and 1
-9 and 3
-3 and 9
-1 and 27
We can see that the pair that adds up to 26 is -3 and 9. So we can use these numbers to write the quadratic expression as a product of two binomials:
3z^2 + 26z - 9 = (3z - 1)(z + 9)
Therefore, the factor pairs needed to answer 3z^2 + 26z - 9 are (-3, 9) and (3z - 1, z + 9).
Three positive integers are in a ratio of 3:4:7 and have a sum of 196. What is the smallest of the three integers?
A. 36
B. 56
D. 42
E. 39
The smallest of the three integers is, 42
Option D is true.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.
Given that;
Three positive integers are in a ratio of 3 : 4 : 7 and have a sum of 196.
Hence, All the integers are,
⇒ 3x, 4x , 7x
Here, The sum is 196.
Hence, We can formulate;
⇒ 3x + 4x + 7x = 196
⇒ 14x = 196
⇒ x = 14
Thus, The smallest integers is,
⇒ 3x = 3 × 14
= 42
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6. Sofia rearranged the equation 3x+7+2x-8=21
into 3x+2x+7-8=21 in order to combine like
terms more easily. Which of the following properties
did she use to make this manipulation?
(1) The commutative property of addition
(2) The additive property of equality
(3) The distributive property
(4) The associative property of multiplication
Answer:
1, The Commutative Property of Addition
Step-by-step explanation:
you’re only changing the order
. Write an equation of a line that does not have an x-intercept. The equation of a line is y= 3.6x + 2.
The equation of a line that does not have an x intercept is y = 3.
What is x intercept?x intercept of a line is the x coordinate of a point where the line touches the X axis. y coordinate of that point will be 0.
x intercept will be of the form (x, 0).
Every line will touch the X axis at any point.
The only line that will not touch X axis at any point will be the line parallel to the X axis.
Equation of a line parallel to the X axis is of the form y = k, where k is a constant.
Let k = 3.
So y = 3 has no x intercept.
Hence the line y = 3 does not have an x intercept.
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The system of linear equations 3x + 2y = −4 and y equals one half times x plus 1 is graphed on a coordinate plane. Approximate the solution to the system.
coordinate plane with one line that passes through the points 0 comma negative 2 and negative 2 comma 1 and another line that passes through the points 0 comma 1 and 2 comma 2
(−1.5, 0.25)
(−0.5, 0.75)
(1.5, 0.25)
(−2.5, 1.5)
Answer:
To approximate the solution to the system of equations, we need to find the point where the two lines intersect. From the second equation, we know that y = (1/2)x + 1. Substituting this expression for y into the first equation gives:
3x + 2[(1/2)x + 1] = -4
Simplifying and solving for x, we get:
3x + x + 2 = -4
4x = -6
x = -1.5
Substituting this value of x back into the second equation gives:
y = (1/2)(-1.5) + 1 = 0.25
Therefore, the solution to the system of equations is approximately (-1.5, 0.25).
So the answer is (−1.5, 0.25).
What is happening after time (te)? there are three correct statements. [reactants] < [products] [a] + [b] = [cd] [products] remain constant. [a] + [b] remain constant. [reactants] > [products].
None of the statements of Chemistry reactions are necessarily true in all cases.
The reason is explained below:-
[reactants] < [products]: This statement is not necessarily true, as the amount of reactants and products in a reaction can vary. In some cases, the number of reactants is indeed less than the number of products, but in others, it may be equal or greater.[a] + [b] = [cd] [products] remain constant: The sum of the concentrations of reactants [a] and [b] may remain constant during a reaction, but the individual concentrations can change. The concentration of the products, represented by [cd], may also remain constant during a reaction, but the individual concentrations of the products can also change. The statement [products] remain constant is therefore correct, [a] + [b] remain constant: This statement is also not always true, as the amounts of reactants can change as the reaction proceeds[reactants] > [products]: This statement is not necessarily true, as the amount of reactants and products in a reaction can vary. In some cases, the number of reactants is indeed greater than the number of products, but in others, it may be equal or less.To know more such Chemistry reaction here:
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____ The given question is not correct, the correct question is given below:
What is happening after Time (T e )? There are three correct statements.
[reactants] < [products] [A] + [B] = [CD][Products] remain constant.[A] + [B] remain constant.[reactants] > [products]Elwyn's bill for dinner at a restaurant was $75. He wants to leave a 20% tip. How much should he leave for the tip? What is his total bill for dinner and tip?
MATHHHHH help plesss
Answer:
c = 13
Step-by-step explanation:
We can solve for c using an equation that models the sum of the interior angles of a triangle.
The interior angles of a triangle add to 180º. Therefore, we can construct the equation:
90 + (3c - 1) + 52 = 180
Then, we can solve for c algebraically.
(3c - 1) = 180 - 90 - 52
3c - 1 = 38
3c = 38 + 1
3c / 3 = 39 / 3
c = 13
How would you make an equation of a linear function if it starts at 1127 and goes up 92 every hour
The solution is given below.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
Consider that on a coordinate plane-xy, the x-values increase from left to right, and y-values increase from bottom to up.
Given that the linear graph passes through (1,1).
It is given that the graph goes 3 units up for every 2 units right. This can also be understood as the graph goes 3 units down for every 2 units left.
From the point (1,1), the x-value corresponding to 2 units left is given by,
x=1-2
x= -1
Similarly, from the point (1,1), the y-value corresponding to 3 units down is given by,
y = 1 - 3
y= -2
So the point (-1,-2) must also lie on the same linear graph.
Therefore, option (b) is the correct choice.
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17. When Molly stands in the center of the pool, she is exactly 5.25 feet from the edge in any direction. Calculate the area of the pool.
Answer: Assuming that the pool is square it would be 110.25ft.
Step-by-step explanation: multiply 5.25 by 2, then multiply 10.5 by 10.5 and you get 110.25
What is height of 165 cm?
The height of 165 cm is equivalent to 1.65 meters or 5 feet 5 inches.
This is a measurement of length or distance that is commonly used to describe the height of a person or object.
To convert centimeters to meters, you can simply divide the number of centimeters by 100. In this case, 165 cm divided by 100 gives you 1.65 meters.
To convert centimeters to feet and inches, you can first divide the number of centimeters by 2.54 to get the number of inches. Then, you can divide the number of inches by 12 to get the number of feet and the remainder will be the number of inches.
In this case, 165 cm divided by 2.54 gives you 64.96 inches. Dividing 64.96 inches by 12 gives you 5 feet with a remainder of 4.96 inches, which can be rounded to 5 inches.
So, the height of 165 cm is equivalent to 1.65 meters or 5 feet 5 inches.
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I REALLY NEED HELP
How do you know when anexpression is in its simplest form?
An expression is in its simplest form when it can no longer be simplified or reduced any further.
What happens when an expression is in its simplest form ?When an expression is in its simplest form , it means that it has been reduced to its most basic and concise form, with no unnecessary terms or factors.
This makes it easier to evaluate and work with the expression . In some cases , the simplest form of an expression may also reveal certain properties or relationships that were not immediately apparent in its original form.
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The scores from a 20 point algebra quiz are shown.
18, 10, 17, 19, 13, 9, 7, 12, 20, 15
The percentile of a test score can be defined as the percent of test scores less than or equal to that test score
Use this definition to find the percentile of the test score 12
The test score 12 is at the ___th percentile
Answer:
Percentile = 90
Therefore, the test score 12 is at the 90th percentile.
Step-by-step explanation:
Percentile = (Number of scores less than or equal to score) / (Total number of scores) * 100
Percentile = (9) / (10) * 100
Answer:
Percentile = 90Therefore, the test score 12 is at the 90th percentile
Percentile = (Number of scores less than or equal to score) / (Total number of scores) * 100Percentile = (9) / (10) * 100Step-by-step explanation:
I need help ASAP pls!!!!
I need the rest of the steps!!
Answer:
how can I help you when I don't know the steps
volume of a square room is 256 cubic meter.
Area of 4 walls is 128 Sq.m
Find length and breath.
The length and breadth of the room is 4 meters
What is area of square?A square is a 2D figure in which all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side. Hence, the area of a square is side square.
A square has it's sides equal
A = l²
The area of 2 walls = 128/2 = 64
Therefore the length of each sides = √64
= 4meters
The height of the room = Volume/ height
= 256/128 = 2
The breadth of the room will also be 4meters
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Sanjeev has to buy enough wallpaper to cover a rectangular wall that has an area of
242 square feet. The wall is 11 feet tall. How wide is the wall?
What is the probability that the web site has fewer than 5 million visitors in a single day? if needed, round your answer to four decimal digits.
Answer:
Step-by-step explanation: daddy
If two angles of a triangles are 50degree and 65 degree, then the third angle is?
Answer: F=180-(50+65) 65
Step-by-step explanation: the angles add the up 180°
why does the equation y = 3x + 5 not represent a proportional relationship?
Answer:
Proportional relationship between two quantities x and y means that the quotient y/x stays constant, i.e. that there is a constant c such that y=cx. In our case we have that y=3x+5 which means that x and y are NOT proportional.
Answer:
Check the explanation provided
Step-by-step explanation:
This equation does not represent a proportional relationship because it's graph does not pass through the origin (i.e. 0,0)
[tex]y = mx + c[/tex]
where m = gradient OR slope
= 3
c = y-intercept
= 5
For the equation to have a proportional relationship, the value of c MUST BE '0’
If you spin the spinner 75 times, how many 2’s? (Note: Spinner has 5 spots ranging from 1-5)
If you spin the spinner 75 times, the expected number of 2's is 15.
About probabilitySince the spinner has 5 spots ranging from 1-5, the probability of getting a 2 on any given spin is 1/5.
Therefore, if you spin the spinner 75 times, the expected number of 2's is: (1/5) * 75 = 15
So, if you spin the spinner 75 times, you can expect to get 15 2's.
Probability itself has a number from 0 to 1.
The probability value is 0 (zero) for an event that is impossible or unlikely to occur, for example, cows laying eggs.
While the probability value of 1 (one) is an event that will definitely occur, such as the change between day and night.
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Divide 12x3 − 16x2 − 4x by −4x.
−3x2 + 4x − 1
−3x2 + 4x + 1
−3x3 − 4x2 − x
−3x2 + 4x
Answer:
-3x2+4x+1
Step-by-step explanation:
assuming the numbers after x are squares, cubes etc. 12x3 -16x2 -4x all need to be divided by -4x. 12x3/-4x(12/4 and to divided x cubed by x, -1 to the exponent) =-3x2. -16x2/-4x(-16/-4 and to divide x squared by x, -1 to the exponent)=4x. -4x/-4x(anything divided by itself is 1) therefore you have -3x2+4x+1
Answer:
[tex]-3x^2+4x+1[/tex]
Step-by-step explanation:
[tex]=\frac{4x\left(3x^2-4x-1\right)}{-4x}[/tex]
[tex]=\frac{x\left(3x^2-4x-1\right)}{-x}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-1}=-a[/tex]
[tex]=-\left(3x^2-4x-1\right)[/tex]
[tex]Simplify[/tex]
[tex]=-\left(3x^2-4x-1\right)[/tex]
hope this helps :P
The circumference of a circle is 100.48 kilometers. What is the circle's radius? use 3.14
The radius of a circle with a circumference of 100.48 kilometers is equal to 32 kilometers.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr
Where:
C represents the circumference of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, we have the following;
100.48 = 3.14r
Radius, r = 100.48/3.14
Radius, r = 32 kilometers.
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What is the answer it is so confusing
Answer:
the answer is 5
Step-by-step explanation:
³√125 or this can also be written as 125^⅓
it means cube root of 125
And the cube root of ³√125 is 5
then the cube of 5³ is 125
Which of the following are like terms in this expression?
12a−7+7a+12b
Answer: Hello! I'm Jk!....
7a and 12a
Step-by-step explanation:
Hope this really helps you, XoXoGoldenMaknae
3
87. 8
98
-
8[?].
the question didn’t have enough letters for me to post so i’m using this to post it
5. Name the angle that is supplementary to COD.
A
F
OZCOA
O ZBOC
OLCOB
O ZBOA
B
O
۶,
D
(1 point)
Answer: D
Step-by-step explanation:
D. OLCOB. This angle is supplementary to COD because the two angles add up to 180°. OLCOB has a measure of 180° - 90° = 90°, which is supplementary to the 90° measure of COD.
Explain how a shaded line means that fractions, decimals, and numbers not labeled
on a number line can be part of the solution to an inequaliy
Answer:
In a sense, negative numbers could be related to decimals because place values of decimal digits involve taking 10 to negative powers. However, negative numbers do not have to be decimals (for example, -3) and decimals do not have to be negative numbers (for example, 0.2).
Answer:
23456trrytugfygtuh
Step-by-step explanation: