The reason of discontinuity of the given function is described below.
Since we know that,
A continuous function, as the name implies, is one whose graph is continuous with no breaks or jumps. In other words, if we can draw the curve (graph) of a function without ever raising a pencil, we may claim that the function is continuous. The study of a function's continuity is critical in calculus because a function cannot be differentiable unless it is continuous.
A function is considered continuous if its graph is an uninterrupted curve with no holes, gaps, or breaks.
Now by mathematical definition of continuity
Left hand limit of a function at any point = right hand limit of function at that point = value of function at that point
Now from the graph we can see that,
At point point 3
The left hand limit and right hand limit are not equal and also the curve is discontinuous.
Hence, the given function is discontinuous function.
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Fine the area of this figure round your answer to the nearest hundredth use 3.14 to approximate
This value is approximate because we used the approximation pi = 3.14
=================================================
Explanation:
For problems like this, a common approach is to break the figure into smaller pieces. Find the area of each small piece, then add up those individual areas to get the full area we're after.
------------
A = area of triangle
A = 0.5*base*height
A = 0.5*6*8
A = 24 square feet
-----------
B = area of the semicircle with radius r
B = 0.5*(area of full circle with radius r)
B = 0.5*(pi*r^2)
B = 0.5*pi*r^2
B = 0.5*3.14*4^2 .... the diameter is 8, radius is half that
B = 25.12 square feet
--------------
C = area of the full figure
C = A+B
C = 24+25.12
C = 49.12 square feet
Find the distance between the two points (−71,432) and (511,218) and round nearest thousands.
The distance between (71,432) and (511,218) is 45214 miles.
What is meant by distance?The length of the line connecting two places serves as a measure of distance. You may calculate the distance between two places if they are on the same horizontal or vertical line by subtraction the different coordinates. Between two points on a line or line segment, measured in length along the line or line segment. The entire movement of an object, regardless of direction, is called distance. Distance can be characterized as the quantity of ground covered, regardless of the starting or finishing points of an object.The distance formula is:
√(a − c)² + (b − d)²
Given the value,
(−71,432) and (511,218)
Here, a = -71, b = 432, c = 511, and d = 218
Substitute the value of equation,
√ (-71 - 511)² + (432 - 218)²
Therefore,
\((\sqrt{-71-511})^2+(432-218)^2\)
\(& (\sqrt{-71-511})^2=-582 \\\)
Then we get,
\(& (432-218)^2=45796 \\\)
= - 582 + 45796
Add the figures : -582 + 45796 = 45214
= 45214
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what is 11/4 times 4/9
Answer: 11/9
Step-by-step explanation:
you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9
Answer:
11/4 times 4/9 is 11/9
Step-by-step explanation:
We have to find,
(11/4) times 4/9
\((11/4)(4/9) = (11*4/4*9)\)
We can cancel the 4s from the numeratorand denominator to get,
\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)
The answer is 11/9
13 help help help help help help 13 points
Answer:
perpendicular set- Line C and D
parrelel- line B and D
Step-by-step explanation:
Please help me with this math homework thanks :)
Place a point at (0,-5) because that is the y-intercept (the -5 on the vertical line)
Since the slope is negative two which can be re-written as -2/1 (rise/run) you go down two and to the right once or up two and to the left once, it doesn't matter which. Another point can be placed at (1,-7) or (-3,-1), it still doesn't matter which.
Then you can draw a line connecting the two points.
I hope this helps :)
Let me know if you need further explanation
The probability that you see a butterfly during a nature signature is 80% the probability that you see a turtle is 40% what is the probability of seeing both
Answer:
32%
Step-by-step explanation:
To find the probability of seeing both, multiply the probabilities together:
0.8(0.4)
= 0.32
So, the probability of seeing both is 32%
Please take a look at the picture for question
4x(x-2) area as a product
Answer:
8 can't find X
Step-by-step explanation:
A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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D What is the solution for the equation? 5 3 2-4+1 1
Answer:
539
Step-by-step explanation:
532 - 4+11= 539
In the equation x - 89 = 2, what is the next step in the equation solving sequence?
Subtract 2 from both sides
Add 2 to both sides
Subtract 89 from both sides
Add 89 to both sides
Answer:
Add 89 to both sides
Step-by-step explanation:
This is because the goal is to isolate x, which means get x by itself. To do that, we need to get rid of the -89 on that side. We can get rid of it by using its inverse operation, addition, and adding 89 to both sides. Now, x = 91.
I need help on question 1-6
Will be mark brainlist
Answer:Look
Step-by-step explanation: Look and solve its not that hard
1.Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20. What are the least numbers of packs you should buy in order to have the same number of plates, utensils, and cups?
Answer:
Least no of packs = 120
Step-by-step explanation:
Given that,
Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20.
We need to find least numbers of packs you should buy in order to have the same number of plates, utensils, and cups.
It means we need to find the LCM of 8,12,20
Prime factorisation of 8 = 2×2×2
Prime factorisation of 12 = 2×3×2
Prime factorisation of 20=2×5×2
LCM = 120
Hence, there are 120 least number of packs you should buy in order to have the same number of plates, utensils, and cups
You deposit $300 in a savings account. The account earns. 1% simple interest per year. What is the interest earned after 3 years? The balance after 3 years?
Please help, urgent
Answer:
9.09, 309.09
Step-by-step explanation:
Year1 300x.01=3. Balance is 303/(300+3)
Year2 303x.01=3.03 balance is 306.03
Year3 306.03x.01=3.06 balance=309.09
Answer:
Interest earned = $9
Balance after 3 years = $309
Step-by-step explanation:
For simple interest, the formula is I = PRT, where I is the interest earned or paid, P is the principal amount borrowed/deposited, R is the rate as a decimal, and T is the time in years.
I = PRT
I = (300)(0.01)(3)
I = 9
Add that to the amount deposited to start, and you have the balance aftere 3 years. $300 + 9 = $309
Type the correct answer in the box. Use numerals instead of words.
Answer:
2 squared - 7 + -4
Step-by-step explanation:
(-2x^3– X+6)(-6x^2 + 3x - 2)
We are asked to perform a product of two
1 1/2 hours is ____ 100 minutes (a)equal to (b)less than (c)greater than
Answer:
(b)less than
Explanation:
First, we convert both measures to the same unit.
\(1\frac{1}{2}Hours=1.5\times60=90\text{ Minutes}\)Therefore:
\(90\text{ Minutes }<100\text{ Minutes}\)The correct choice is "less than".
A fisherman is sitting 2 feet above the surface of a lake on a boat. The hook on his fishing pole is floating 6 feet below the lake's surface.
Part A: Are the locations of the fisherman and his hook opposites? Explain your reasoning.
Part B: Write an inequality using the symbol < or > that compares the fisherman's location to his hook's location.
Answer:
A.12 feet
B. 2 feet>6 feet
Step-by-step explanation:
A. 2 feet x 6 feet = 12 feet
B. 2 feet>6 feet
Multiply and simplify 24/7 and 9/16
Answer:
27/14 or 1 13/14
Step-by-step explanation:
First you simplify the problem to 3/7 × 9/2. then you multiply them to get 27/14 or 1 13/14.
Answer:
24/7 × 9/16
6/7 × 9/4
3/7 × 9/2
27/4
=6.75
Step-by-step explanation:
in dividing this equation, 4 can divide both 24 and 16 so 4 will divide 16 4 times and divide 24 6times. also 2 can divide 4 2times and divide 6 times so you will be having the third method. then you multiply them since you can have any number dividing them. your answer will be 27/4 which is an improper so you will either change it to decimals or mixed fraction
Me.perez drove a total of 40 miles in 5 days she drove the same number of miles each day.how many miles did me.perez drive each day?
Answer:
She drove 8 miles each day.
Step-by-step explanation:
Given that she drove equal number of miles in 5 days. So in order to find the number of miles in each days, you have to divide it by 5,
\(5days = 40miles\)
\(1day = 40 \div 5\)
\(1day = 8miles\)
I need answer for questions 13 please and thank you!
There are 14 yellow blocks in the box
How to determine the number of yellow blocks?The given parameters are:
P(Red) = 1/3P(Red and Yellow) = 1/12Sample, n = 24The number of yellow blocks is calculated as:
Yellow = (1 - P(Red) - P(Red and Yellow)) * n
So, we have:
Yellow = (1 - 1/3 - 1/12) * 24
Evaluate
Yellow = 14
Hence, there are 14 yellow blocks in the box
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Complete question
A box contains a group of 24 blocks. Some are red, some are yellow, and some are a mixture of the two colors. The probability of drawing a red block is 1/3. The probability of drawing a red and yellow block is 1/12. Determine the number of yellow blocks.
PLEASE SHOW YOUR WORK!!!
Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3^3+14*y-(25*y-13)-(y+7*y-9*y)=0
Equation at the end of step 1
((3³ + 14y) - (25y - 13)) - -y = 0
Pull out like factors :
40 - 10y = -10 • (y - 4)
Equation at the end of step3:
-10 • (y - 4) = 0
STEP4:
Equations which are never true:
Solve : -10 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
Solve : y-4 = 0
Add 4 to both sides of the equation :
y = 4
\(y = 4\)Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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PLS HELP QUICK ILL GIVE BRAINLIEST
What is the surface area of the rectangular prism?
138 cm²
200 cm²
276 cm²
280 cm²
Answer:
A=276 cm²
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(4x7+ 10x7+10x4)
A=2(28+70+40)
A=2(138)
A=276 cm²
7.C.J. says the quotient of -3/4 divided by 1/4 is - 1/3
a What is the correct quotient?
bWhat mistake did CJ likely make?
a. He multiplied the reciprocals of both fractions.
b. He added -3/4 and 1/4
c. He multiplied-3/4 by 1/4
d. He multiplied using the reciprocal of -3/4.
The correct quotient is -3
The mistake CJ likely made is multiplying using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4
From the question,
We are to determine the correct quotient.
The given division operation to be carried out is -3/4 divided by 1/4
The correct quotient can be determined as shown below
\(-\frac{3}{4} \div \frac{1}{4}\)
Multiply \(-\frac{3}{4}\) by the reciprocal of \(\frac{1}{4}\)
The reciprocal of \(\frac{1}{4}\) is \(\frac{4}{1}\)
Then, we get
\(-\frac{3}{4} \times \frac{4}{1}\)
This gives
\(-\frac{12}{4}\)
= -3
The correct quotient is -3
The mistake CJ likely made is multiplying using the reciprocal of -3/4.
Hence, the correct quotient is -3
The mistake CJ likely made is He multiplied using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4
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2
Select the correct answer from the drop-down menu.
A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chair. If he paid a total of $663
for the 6 sets, the cost of each table is
$
54.50
62.00
110.50
159.00
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Find 4 + 20, if ü -< -3, -7> and =< 4, -2 >
<-4,-32 >
<7,-3>
<-8, -30
< 5, -11 >
2 0 0 0
Given statement solution is :- The Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
To find the sum of 4 + 20, we simply add the two numbers together:
4 + 20 = 24
As for the given vectors, let's perform the requested calculations:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >
Therefore, the Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
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If my home is 15 ft in length and 20 ft in width what is my house’s height?
Answer: What grade work this is? Ima help you.
.Step-by-step explanation:
Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Round to four decimal places.
To find the area under a normal distrubution curve use a z-score table, in the table you can identify the area under a z-score.
If you use the table for the z-score -1.82 you get the non-shaded area, but as the total area under the curve is 1 you subtract the value corresponding -1.82 from 1 to get the area of the shaded area
Area under -1.82:
Area of the shaded region:
\(1-0.0344=0.9656\)Then, the area of the shaded region is 0.9656