If a function Llf(t)) exists but is not piecewise continuous, it means that there are points of discontinuity in its graph.
A function is said to be piecewise continuous if it is continuous on each interval within its domain, but may have discontinuities at the endpoints of those intervals. However, if a function Llf(t)) exists but is not piecewise continuous, it indicates that there are points of discontinuity within the intervals as well.
Discontinuities can manifest in different forms. One common type is a jump discontinuity, where the function "jumps" from one value to another at a particular point. Another type is a removable discontinuity, also known as a hole, where the function approaches a specific value but does not attain it at a particular point. There can also be oscillating discontinuities, where the function oscillates between two or more values indefinitely.
The existence of a function Llf(t)) despite its lack of piecewise continuity implies that there may be specific points or regions in the function where certain conditions or behaviors are present. These points of discontinuity can have significant implications for the behavior and properties of the function, and they need to be carefully considered when analyzing and interpreting its graph or applying mathematical operations involving the function.
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What is the solution to 6x2 –14x ≥ –4?
Answer:
2.85714285714
Step-by-step explanation:
6x2 –14x ≥ –4
36 -14x ≥ -4
-14x ≥ -36-4
-14x ≥ -40
x ≥ -40/14
x \(\leq\) 2.85714285714
A
Step-by-step explanation:
did math
Help me please :/ do any of y’all know the answer?
Answer:
9
Step-by-step explanation:
36/4 = 9
HELP!!!! please im begging
Answer:
57 1/10
(14× 3/4)+(4× 1/2)+(8× 1/2)+(10× 2/5)+(10× 2/5)+(12× 4/5)= 571/10 or 57× 1/10
It is not possible to have more than one optimal solution to a linear programming problem. true. false.
In a certain company, there were five candidates running for President. After the vots were tallied, it turned out that Victor, like in the election, finished in thir place, and david beat him. Greg said that he didn't come in first, but he also didn't come in last. Mac in an interview, said that in this election he wasn't able to win, but at least he was one place hight than his old rival Bill. What place did each candidate come in?
Considering the situation described, the classification of the elections is given as follows:
David came in first place.Greg came in second place.Victor came in third place.Mac came in fourth place.Bill came in fifth place.How to find the classification of the elections?We take the situation that is described, and build the classification from it. The classification has the following format:
P1 - P2 - P3 - P4 - P5
With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.
From the text given in this problem, we have that:
Victor finished in third place, and David beat him, hence P3 = Victor, David = P1 or P2.Greg didn't come in first nor in last, hence, considering that Victor is P3, Greg = P2 or P4.Mac didn't win, but he finished higher than Bill, hence, considering that Mac didn't win and that Victor is P3, Mac = P4, Bill = P5.From the bullet points above, we can conclude that David = P1, Greg = P2.Hence the places of each candidate are given as follows:
David came in first place.Greg came in second place.Victor came in third place.Mac came in fourth place.Bill came in fifth place.A similar problem, in which a situation is interpreted, is given at https://brainly.com/question/5660603
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There are 180 puppies in the shelter with 9 kids. How many students puppies per kids?
The number of puppies per kids is 20 puppies.
Given that, there are 180 puppies in the shelter with 9 kids.
Number of puppies per kids = Total number of puppies/Number of kids
= 180/9
= 20 puppies
Therefore, the number of puppies per kids is 20 puppies.
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Which sequence of transformations will result in an image that maps onto
itself?
• A. Rotate 180 degrees counterclockwise about the origin, and then
reflect across the x-axis.
• B. Reflect over the y-axis, and then reflect again over the y-axis.
• C. Reflect over the y-axis, and then reflect over the x-axis.
D. Rotate 180 degrees counterclockwise about the origin, and then
reflect across the y-axis.
Option D will result in an image that is rotated 180 degrees equation counterclockwise about the origin and then reflected across the y-axis, which will not map the image onto itself.
What is counterclockwise?Counterclockwise, also known as anticlockwise, is a direction of rotation that is opposite to the direction in which the hands of a clock move. It is the direction that is typically associated with the rotation of objects in the Northern Hemisphere.
counterclockwise rotation is the positive direction of rotation in a coordinate system, where the x-axis increases to the right and the y-axis increases upwards.
Option B, "Reflect over the y-axis, and then reflect again over the y-axis," will result in an image that maps onto itself.
When you reflect an image over the y-axis, the left and right sides of the image switch places. If you then reflect the already reflected image over the y-axis again, the left and right sides switch places once more, effectively returning the image to its original orientation.
Option A will result in an image that is rotated 180 degrees counterclockwise about the origin and then reflected across the x-axis, which will not map the image onto itself.
Option C will result in an image that is reflected over the y-axis and then reflected over the x-axis, which will produce an image that is flipped both horizontally and vertically and therefore not map the image onto itself.
Option D will result in an image that is rotated 180 degrees counterclockwise about the origin and then reflected across the y-axis, which will not map the image onto itself.
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Answer:
Option B i think
Step-by-step explanation:
hope this helps
which of the following is an equation of the line tangent to the graph of y=cosx at x=π/2?
A. y = x + π/2 B. y = x- π/2 C. y = -x + π/2
D. y = -x -π/2
The equation of the line tangent to the graph of y = cos(x) at x = π/2 is y = -x + π/2. The correct option is C. y = -x + π/2.
To find the equation of the line tangent to the graph of y = cos(x) at x = π/2, we need to find the derivative of the function and evaluate it at x = π/2. The derivative of y = cos(x) is given by dy/dx = -sin(x).
Now, let's evaluate the derivative at x = π/2:
dy/dx = -sin(π/2) = -1
The derivative gives us the slope of the tangent line at x = π/2. Therefore, the slope of the tangent line is -1.
Now, we have the slope of the tangent line and the point (π/2, cos(π/2)) on the line. Using the point-slope form of a line, y - y1 = m(x - x1), where (x1, y1) is a point on the line, we can write the equation of the tangent line:
y - cos(π/2) = -1(x - π/2)
Since cos(π/2) = 0, the equation simplifies to:
y = -x + π/2
Therefore, the equation of the line tangent to the graph of y = cos(x) at x = π/2 is y = -x + π/2.
Hence, the correct option is C. y = -x + π/2.
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Consider this triangle.
use sin
sin(50) = x/6
sin(50) x 6 = x
x = ~4.5963
What are the Factors of 32 and 72?
Answer:
The factors of 32 are 32, 16, 8, 4, 2, 1. The factors of 72 are 72, 36, 24, 18, 12, 9, 8, 6, 4, 3, 2, 1. The common factors of 32 and 72 are 8, 4, 2, 1, intersecting the two sets above.
plz mark brainliest :DD
Answer:
The gcf of 32 and 72 can be obtained like this: The factors of 32 are 32, 16, 8, 4, 2, 1. The factors of 72 are 72, 36, 24, 18, 12, 9, 8, 6, 4, 3, 2, 1. The common factors of 32 and 72 are 8, 4, 2, 1,
Step-by-step explanation:
let $s n$ be the sum of the reciprocals of the non-zero digits of the integers from to $10^n$ inclusive. find the smallest positive integer $n$ for which $s n$ is an integer.
If Sₙ denotes the sum of the reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive , then the smallest positive integer n for which Sₙ is an integer is 63 .
The "Sₙ" be the sum of reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive ;
We Let \(K= \sum_{i=1} ^{9} \frac{1}{i}\) ,
On further examination , we get that , \(S_{1} =K+1\) ;
Since each digit "n" appears once and the number 1 appears for an extra time.
Now , we write S₂ .
So ,Each term of K will appear 10 times in the units place and 10 times in the tens place ,
So , we get \(S_{2} = (n10^{n-1})K+1\) ; and there are total "n" places ;
The denominator of K is written as \(D=2^{3} .3^{2} .5.7\) .
For Sₙ to be an integer, \(n10^{n-1}\) must be divisible by D , we must select "n" to be divisible by \(3^{2} .7\) .
And since need to find the smallest integer "n" , So , the n is \(3^{2} .7 = 63\) .
Therefore , For Sₙ to be an integer , the smallest positive integer n is 63 .
The given question is incomplete , the complete question is
Let Sₙ be the sum of the reciprocals of the non-zero digits of the integers from 1 to 10ⁿ inclusive. find the smallest positive integer n for which Sₙ is an integer .
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8x−6(4x)+11(2x)−6=0 . Solve
The given equation is 8x - 6(4x) + 11(2x) - 6 = 0.To solve the above equation, we need to simplify it by using the distributive property and combining like terms.
\(8x - 24x + 22x - 6 = 0 6x - 6\)
= 0Now, we will isolate the variable by adding 6 to both sides.
\(6x - 6 + 6 = 0 + 6 6x\)
= 6To find the value of x, we will divide both sides by 6.
x = 1Therefore, the solution of the equation 8x - 6(4x) + 11(2x) - 6
= 0 i
s x = 1.
Note: The solution of an equation is the value(s) of the variable(s) that make the equation true. In this case, when we substitute x = 1 in the given equation, it satisfies the equation and makes it true.
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#7 Re-write the equation in SLOPE
INTERCEPT FORM. Showyourwork
5y - 10 = 5x
Answer:
y = x + 2
Step-by-step explanation:
Slope Intercept form is:
y = mx+b
m = slope
b = y-intercept
Divide both sides by 5:
y - 2 = x
Rewrite in Slope Intercept form:
y = x + 2
You travel 12 miles north and then 5 miles west from your home. How far are you from your home?
Answer:
13
Step-by-step explanation:
12 * 12 = 144
5 * 5 = 25
144 + 25 = 169
√169 = 13
In what time will N400 amount to N512 if the simple interest is calculated at 14% per annum?
Answer:
64/7 years
9.143 years
Step-by-step explanation:
\(Simple Interest = \\ \frac{Principal \times Rate \times Time}{100} \)
\(Time = \frac{simple \: interest \times 100}{Principal \times Rate} \)
\(Principal = 400 \\ Rate = 14 \\ Time = \\ simple \: interest = 512\)
Input the values
\(Time = \frac{512 \times 100}{400 \times 14} \\ Time = \frac{51200}{5600} \\ \)
\(Time = \frac{64}{7} \\ Time = 9.142 \: years \\ best \: answer \: = \frac{64}{7} years\)
A study indicated that residents of Springtown wasted 7,622 gallons of water this year. That is 85% more than they wasted last year. How many gallons of water did the city's residents waste last year?
Answer: The study indicated that residents of Springtown wasted 7,622 gallons of water this year, which is 85% more than they wasted last year. To find out how many gallons of water the city's residents wasted last year, we need to find out what 85% of 7,622 gallons is and then subtract that amount from the total amount wasted this year.
85% of 7,622 gallons is (85/100) * 7,622 = 6,465.7 gallons
So, if residents of Springtown wasted 7,622 gallons of water this year, which is 85% more than they wasted last year, then they wasted 7,622 - 6,465.7 = 1,156.3 gallons of water last year.
Step-by-step explanation:
Answer:
x = 4120 gallons wasted last year
Step-by-step explanation:
Let x be the amount of water wasted by the residents of Springtown "last year."
They wasted 85% more this year. This would mean that x*(1+ 0.85) = 7622 gallons. [The "(1+0.85)" represents the decimal equivalent to "85% more."
x*(1+ 0.85) = 7622
1.85x = 7622
x = 4120 gallons wasted last year
Check:
Is 7622 85% more than 4120?
(7622-4120)=3502
(3502/42=4120) = 0.85 YES
can someone help I'm stuck on this question thanks
Answer:2
Step-by-step explana2tion:
AS]
Ram ordered 10 pizzas which were cut into a total of 66 slices. Mediums pizzas are cut into 6 slices. Mediums pizzas are cut into 6 slices, while large pizzas are cut into 8 slices. How many medium pizzas did he order?
Answer:
4 medium and 6 large.
Step-by-step explanation:
A possible answer to this is
10 pizzas, 66 slices.
the sum of slices needs to be 66 and canot exceed 10 pizzas in total.
6x4=24 slices
8x6=42 slices
4+6= 10 so it does not exceed 10 pizzas.
24 +42= 66 so there are 66 slices.
If you substitute 12 2x for y in the second equation, how is the resulting equation written in standard form?
The resulting equation written in standard form is 16x² - 22x + 6 = 0.
What is equation in standard form?Quadratic Equation in Standard Form: ax² + bx + c = 0
a, b and c are known values. a can't be 0.
"x" is the variable or unknown (we don't know it yet).
The "solutions" to the Quadratic Equation are where it is equal to zero.
They are also called "roots", or sometimes "zeros"
We can Factor the Quadratic (find what to multiply to make the Quadratic Equation)
Or we can Complete the SquareOr we can use the special Quadratic Formula:Quadratic Formula: x = [ -b (+-) √(b² - 4ac) ] / 2a, Just plug in the values of a, b and c, and do the calculations.Calculation for the given equation-
Now, y=-16x²+24x+6
Substitute, y = 12+2x in y = -16x²+24x+6.
=> 12+2x = -16x²+24x+6
=> 16x²-24x-6+12+2x = 0
=> 16x²-22x+6 = 0
Therefore, the quadratic equation given in the standard form is 16x²-22x+6 = 0.
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The complete question is-
The two equations are given below;
Y = 12 + 2x linear equation
Y = -16x² + 24x + 6 quadratic equation
If you substitute 12 + 2x for y in the second equation how is the resulting equation written in standard form?
What is the difference of polynomial and equation with example?
A polynomial is an expression involving variables and coefficients, which is formed by adding, subtracting, multiplying, and taking non-negative integer exponents of the variables. A mathematical statement that two expressions are equal is known as an equation.
A mathematical statement that two expressions are equal is known as an equation.
Example of a polynomial:
2x^2 + 3x + 5
Example of an equation:
2x^2 + 3x + 5 = 0
Let's say we are solving the equation 2x^2 + 3x + 5 = 0
Step 1: Subtract 5 from both sides.
2x^2 + 3x = -5
Step 2: Divide both sides by 2.
x^2 + 3/2 x = -5/2
Step 3: Use the quadratic formula to solve for x.
x = (-3 ± √17) / 4
Step 4: Simplify the answer.
x = (-3 ± 4.12) / 4
Step 5: Solve for the two values of x.
x = -0.78 or x = 3.28
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The ________________ manages water resources in a 16-county region that stretches from Orlando to the Florida Keys, serving a population of 8.1 million (hint: Remember the water conservation calculator
South Florida Water Management
The South Florida Water Management District is a regional governmental agency that manages the water resources in the southern half of the state, covering 16 counties from Orlando to the Florida Keys and serving a population of 9 million residents.
Water management is the control and movement of water resources to minimize damage to life and property and to maximize efficient beneficial use. Good water management of dams and levees reduces the risk of harm due to flooding.
Water management is the activity of planning, developing, distributing and optimum use of water resources under defined water polices and regulations.
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In the figure, segment RD bisect segment DE at S. Given that DS=4x+12 and SE=8x-8, find the value of x.
Answer:
\( x = 5 \)
Step-by-step explanation:
DS = 4x + 12
SE = 8x - 8
Since segment RS bisects segment DE, it implies that the two segments created, segments DS and SE, are congruent. Therefore:
\( 4x + 12 = 8x - 8 \)
Solve for x
\( 4x + 12 - 8x = 8x - 8 - 8x \) (Subtraction property of equality)
\( -4x + 12 = - 8 \)
\( -4x + 12 - 12 = - 8 - 12 \) (subtraction property of equality)
\( -4x = - 20 \)
\( \frac{-4x}{-4} = \frac{-20}{-4} \)
\( x = 5 \)
How do i solve for x in geometry
Answer: Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle
Step-by-step explanation:
is the line through (-4, 26, 1) and (-2, 0, -3) parallel to the line through (10, 18, 4) and (5, 3, 14)?
No, the line passing through (-4, 26) and (-2, 0) is not parallel to line passing through (10, 18) and (5, 3) because slopes of both lines are different.
Line is possible in 2-d forms so, it has only x and y-co-ordinates. Z-co-ordinates is not possible.
We know very well that to prove any two lines are parallel to each other we need to prove only whether their slopes are equal or not.
Now, talking about the slopes we know that if any line is passing from point(x₁,y₁) and again passing from other point(x₂,y₂) then slope(m) of that line is given by the formula=(y₂-y₁) / (x₂-x₁)
So, for first line we have (x₁, y₁)=(-4,26)
and (x₂, y₂)=(-2,0)
So, slope(m₁) of first line is =(0-26)/(-2 - (-4))
=>m₁ = -26/2
=>m₁ = -13 ----(eq1)
Similarly, for second line, we have (x₁, y₁)=(10,18)
and (x₂, y₂)=(5,3)
So, slope(m₂) of second line is =(3-18) / (5-10)
=>m₂ = -15/-5
=>m₂= 3 -------(eq2)
On comparing eq1 and eq2,we get
=>m₁≠m₂.
Hence, the given lines are not parallel.
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(Complete question) is:
Is the line through (-4, 26) and (-2, 0) parallel to the line through (10, 18) and (5, 3)?
Which of these is most commonly a role of the government in the United States economy?
Answer:
The most obvious way the government is involved in the U.S. economy is providing public goods and services like education, military protection, national parks and federal highways.
Step-by-step explanation:
7/8-1/2 it’s a homework question and I can’t get it
Answer:
the answer is 3/8
Step-by-step explanation:
multiply 7 by 2, and get 14
multiply 1 by 8, and get 8
give both terms new denominators which will be 16
The new fraction will be \(\frac{14}{16} - \frac{8}{16}\)
Now you can subtract the numerators which will give you 6/16
Now you would simplify the fraction
Divide the fraction by 2 and you get 3/8 which is your answer
Hope this helps:)
solve for x, find the measure of all angles hurryyyyyyy!
Answer:
x=6 as 180 in triangle take away 150 30 by 5 is 6
In a video game Tara collects five tokens on each of the first four levels and 8 tokens on each of the other three levels. How many tokens does Tara collect in all 7 levels.
Answer:
44
Step-by-step explanation:
4 times 8 = 20
8 times 3 = 24
20 + 24 = 44
Also, if you could label this brainliest that would be a great help!
Thanks xx
-Dante
Find the measure of the indicated angle
PLS SHOW UR WORK I KNOW THE ANSWER BUT I NEED THE WORK!!
Answer:
Sum of the three angles of a triangle is 180°(∠A+∠B+∠C=180°)
∠A+∠B+∠C = 110°+25°+x = 180°
<=> 135°+x=180°
<=>x=180°-135°=45°
Find the HCF: x²-4₁ x² +4x+ 4 and x²+3x + 2
The common factor of the equation is x+2 and the HCF is x+2 of the equation x²-4, x² +4x+ 4 and x²+3x + 2.
Given that,
The equations are x²-4, x² +4x+ 4 and x²+3x + 2.
We have to find the HCF of the equation.
We know that,
The greatest possible number that evenly divides both numbers is known as the Highest Common Factor (HCF) of two numbers. The Greatest Common Divisor (GCD) and Highest Common Factor (HCF) (GCD).
Take the equation.
x²-4= (x+2)(x-2)
x² +4x+ 4= (x+2)(x+2)
x²+3x + 2= (x+2)(x+1)
Therefore, The common factor of the equation is x+2 and the HCF is x+2 of the equation x²-4, x² +4x+ 4 and x²+3x + 2.
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