An example of limit in polynomial will be the polynomial function f(x) = x³ + 2x² - 5. As x approaches 2, the value of the function approaches 11. So, the limit of f(x) as x approaches 2 is 11.
What is a polynomial?A polynomial simply means an expression which is composed of variables, constants and exponents, which are combined using mathematical operations such as addition, subtraction, multiplication and division
In mathematical notation, we can write it as: Here, lim x->2 (x³ + 2x² - 5)
= x³ + 2x² - 5
= 2³ + 2(2²) - 5
= 8 + 8 - 5
= 11
This means that as x gets arbitrarily close to 2, the values of the function gets arbitrarily close to 11.
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Susan’s red notebook cover is 20 centimeters by 30 centimeters. She has a sticker for each letter in her name. Each sticker is a square that measures 3 centimeters on each side. She puts all 5 stickers on her notebook. How much of the red notebook cover is still showing?
Answer:
Find the surface area of her notebook.
30 + 30 + 20 + 20 = 100
Now find the surface area of the square stickers.
2 + 2 + 2 + 2 = 8
So this is the surface area of one square, now multiply it by 8.
8 * 7 = 56
This is the surface area of all the stickers, now subtract it to the surface area of the notebook:
100 - 56 = 44
So 44 centimeters of the notebook cover will still be showing.
Step-by-step explanation:
Instructions: Find ZJ if YJ = 24.
Confused...help please
Answer:
[tex]\huge \boxed{ZJ=8}[/tex]
Step-by-step explanation:
ZJ= 24/3ZJ= 8so, 8 is your answer
[tex]-----------[/tex]
hope it helps...
have a great day!!
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=10°, and EF = 94 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
541.3 ft
Step-by-step explanation:
The 94 foot side is opposite the 10 degree angle (see attached image), and the hypotenuse is the side you want to find.
The trigonometric ration that uses opposite and hypotenuse is sine.
Sine = opposite / hypotenuse
[tex]\sin{10^circ}=\frac{94}{x}\\\\x \sin{10^\circ}=94\\\\x=\frac{94}{\sin{10^\circ}} \approx 541.3[/tex]
Michelle earns 15.5% commission selling jewelry. How
much will she make if she sells $400 worth of jewelry?
Answer:
$62
Step-by-step explanation:
First, convert 15.5% to a decimal by dividing by 100
15.5/100 = 0.155
Then multiply that by $400
400 x 0.155 = $62
Answer:
The answer is Michelle will earn $62 dollars commission selling $400 dollars.
Step-by-step explanation:
Find the perimeter of the figure
Answer:
114 ft
Step-by-step explanation:
We split the figure into two rectangles. The long triangles perimeter is equal to 30 + 30 + 9 + 9 = 78. Then, the top triangle is equal to 9 + 9 + 9 + 9, which is equal to 36. Then to find the perimeter of the entire figure, we add these two shapes together, 78 + 36, which gets us to our final answer, 114 ft.
the width of a rectangle is 6n - 3.5 feet and the length is 3.5n + 7 feet
The perimeter of the rectangle is 19n + 7.
How to find the perimeter of a rectangle?A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.
The perimeter of a rectangle is the sum of the whole sides of the rectangle.
Therefore, let's find the perimeter of the rectangle with width of 6n - 3.5 ft and length of 3.5n + 7 ft. Hence,
perimeter of a rectangle = 2(l + w)
where
l = lengthw = widthTherefore,
w = 6n - 3.5
l = 3.5n + 7
Hence,
perimeter of a rectangle = 2(6n - 3.5 + 3.5n + 7)
perimeter of a rectangle = 2(6n + 3.5n - 3.5 + 7)
perimeter of a rectangle = 2(9.5n + 3.5)
perimeter of a rectangle = 19n + 7
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algebraically solve for x
-3/x+3 + 1/2 = x/6 - 1/2
Need help asap please
Answer:
it's b
Step-by-step explanation:
what is the measure of angle R ?
hey guys 50 points! plz help in middle of my final
Answer:
29 degrees I think
Step-by-step explanation:
On 4 January 2020 Thabo deposited P7 800 into savings account. The simple interest rate agreed upon was 6.2% per annum. What will be accumulated amount in the savings account on 21 November 2020? (Assume a year has 365 days).
The accumulated amount in the savings account on 21 November 2020 will be $426.63.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
On 4 January 2020, Thabo deposited $7,800 into a savings account. The simple interest rate agreed upon was 6.2% per annum.
The number of days from 4 Jan 2020 to 21 Nov 2020 will be given as,
Total days = 28 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 21
Total days = 322
The accumulated amount in the savings account on 21 November 2020 will be given as,
I = [$7,800 x 6.2 x (322 / 365)] / 100
I = $426.63
The accumulated amount in the savings account on 21 November 2020 will be $426.63.
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Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
it's none of the above its 27.5
A camper lights an oil lantern at 12 noon lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant tare of each hour. At 2 p.m., the amount of oil left in the lantern is 63 ounces. At 5 p.m., the amount of oil left in the lantern is 61 1/2 ounces. Based on the average rate of oil burning per hour, how much oil, in ounces, was in the lantern at 12 noon?
Show your work.
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The rate at which the oil burns.
1 hour = 2/3 ounce
At 12 noon = 193/3 = 64.33 ounces
At 2 pm = 63 ounces
At 5 pm = 61 ounces
The amount of oil at 12 noon is 64.33 ounces.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour.
At 2 p.m., the amount of oil left in the lantern is 63 ounces.
At 5 p.m., the amount of oil left in the lantern is 61 ounces.
This means,
Amount of oil burnt in the lantern from 2 pm to 5 pm.
= 63 ounces - 61 ounces
= 2 ounces
Now,
3 hours = 2 ounces
2 hours = 1.33 ounces
1 hour = 0.67 ounces
Now,
The number of hours from 12 noon to 2 pm.
= 2 hours
So,
The amount of oil at 12 noon.
= 63 + 4/3
= (189 + 4) / 3
= 193/3 ounces
Thus,
The amount of oil at 12 noon is 65 ounces.
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solve each system.
y=7-3x
3x+y=10
Answer: 0 = 3
Step-by-step explanation: If y = 7 - 3x, we can plug that in for y in the equation 3x + y = 10 by writing it as 3x + 7 - 3x = 10.
- 7 - 7
--------------------------
3x - 3x = 3
0 = 3
A tank of water is being drained. Due to a problem, the sensor does not start working until some time into the draining process. The sensor starts its recording at time zero when there are 770 liters in the tank.
The complete table is given below.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1)
Time after change in water expression water in tank
sensor starts
0 0 770 + (0)(-14) 770
1 -14 770 + (1)(-14) 756
5 -70 770 + (5)(-14) 700
10 -140 770 + (10)(-14) 630
2)
Time after change in water expression water in tank
sensor starts
1 -14 770 + (1)(-14) 756
0 0 770 + (0)(-14) 770
-1 14 770 + (-1)(-14) 784
-2 28 770 + (-2)(14) 798
-3 42 770 + (-3)(14) 812
-4 56 770 + (-4)(14) 826
-5 70 770 + (-5)(-14) 840
Thus,
The complete table is given above.
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The complete question is given below.
N-2=10n+4/2
Please explain step by step to get picked brainliest
Answer:
n = -4/9
Step-by-step explanation:
first get rid of n on left side
-2 = 9n + 2
Get rid of 2 on right side
-4 = 9n
Make 9n into n
-4/9 = n
ans: n = -4/9
hope this helps :)
Fill in the blanks using the following choices: reject, fail to reject, sufficient, enough, not sufficient, not enough If the p value is 0.32 to test if there is a difference exists between the proportion of students who have ear infections at one school and the other, your decision is to the null and the conclusion: There is evidence to support the alternative that the proportion of students who have ear infections at one school and the other are different.
Answer:
FAIL TO REJECT
NOT ENOUGH
Step-by-step explanation:
Given a Pvalue of 0.32
Decision region :
When Pvalue < α ; Reject the Null and conclude that there is significant or enough evidence to accept the alternative hypothesis.
Otherwise, fail to reject reject the null and conclude that, there is not enough evidence to accept the alternative hypothesis
Therefore, for the scenario above, where Pvalue = 0.32
Possible α values are ; 0.1, 0.05, 0.01
For all α - values listed, the Pvalue is greater than α
Pvalue > α ; Hence, FAIL TO REJECT the Null.
Conclusion :
There is NOT ENOUGH evidence to support the alternative that the proportion of students who have ear infection at one school and the other is different.
Therra bought a gold bracelet for $168. She paid a finance charge of $49 and paid over eight month
What is the approximate APR for her purchase?
45.3%
43.8%
40.1%
38.2%
Answer:
B. 43.8%Step-by-step explanation:
Approximate APR (annual percentage rate) is:
(49/168)*(12/8)*100% = 43.75% ≈ 43.8%Correct choice is B
24.
-2
2
NO
2
y-int=
slope =
equation:
y
2
X
Answer:
y-int = 0
slope = -1
equation: y = -x
Step-by-step explanation:
The line crosses the y-axis at y = 0, so the y-intercept is 0.
Go from (0, 0) to (-1, 1).
slope = m = rise/run = 1/(-1) = -1
y = mx + b
y = -x
y-int = 0
slope = -1
equation: y = -x
What is the value of X in the triangle below?
Answer:
x=29
Step-by-step explanation:
(2x-2)+(x+5)+90= 180 (sum of angles in a triangle)
2x-2+x+5=90
3x+3=90
3x=87
x=29
id- 6217974205 p/w-123
Answer:
For what-
Step-by-step explanation:
huh
Answer:
whats this for....
have a good day :)
Step-by-step explanation:
Find the length of the missing side. It’s a written response PLEASE HELP!!!
Solve for the value of p
Answer:
p=43
Step-by-step explanation:
(p+7)+(3p+1)=180
You get to spin the wheel one time. What's the probability that you will
land on bankrupt?
The likelihood of the word "BANKRUPT" appearing on the Wheel of Fortune is 1/9 = 11.1%.
How many bankrupts are on the Wheel of Fortune?The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it. A "1" spinning is 3 out of 8 likely.
Select a direction, get a matrix, locate an eigenvector, normalize it, take its adjoint, multiply by your vector, determine the magnitude of the result, then square that. Finished, that's the likelihood.
Two Bankrupt wedges and one Lose a Turn wedge are also included on the wheel. The contestant's turn is forfeited if they land on either, and the Bankrupt wedge also gets rid of whatever money or rewards they have acquired during the round.
The likelihood of spinning "BANKRUPT" on any given spin of the Wheel of Fortune is 1/9 = 11.1%.
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Pls help!!!! Rewrite the expression.
4+4+5x2x5+(3+3+3)x6x6+2+2
Answer:
386
Step-by-step explanation:
4+4+5x2x5+(3+3+3)x6x6+2+2
=4+4+5x2x5+9x6x6+2+2
=4+4+50+324+2+2
=386
A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. billy incorrectly says that the speed of the car is 1/68 mile per hour. What is the speed of the car? What error might have billy made?
The car travels at the speed of 68 miles per hour.
Billy made error on substitution process.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
The graph shows a proportional relationship between the distance traveled in miles and time in hours.
That means,
distance traveled in miles/ time in hours = k,
where k is a proportional constant.
Here, k is the speed.
The incorrect speed is,
1/68 miles per hour.
k = 1/68.
From the graph,
distance = 272 miles
And the corresponding time is 4 hours.
So, the speed,
= distance / time
The speed = 272 / 4
The speed = 68 miles per hour.
Billy made the error of not substituting the right values to the formula.
Therefore, the speed of the car is 68 miles per hour.
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The complete question is given in the attached image.
In a survey of 1,800 people who owned a certain type of car, 810 said they would buy that type of car again. What percent of the people surveyed said they were satisfied with the car?
Answer:
10%
Step-by-step explanation:
1,800 people represent 100 % of people
810 people represent x % of people
once you line up people and percent in columns think cross multiplication
x= 810*100/1,800 = 10 %
15. The center of the circle in the figure is at O. Determine the measure of ZABC.
According to the Central Angle Theorem, the central angle occupied by two points on a circle will always be twice the inscribed angle occupied by those same two points, therefore ∠ABC = 1/2 × 56 = 28°.
What is Central Angle Theorem?Since subtended and inscribed angles are mentioned in the definition, we must first understand them in order to understand the central angle theorem. An object at a specific outer position forms an angle known as a subtended angle.
If you disagree with that definition, think about this: On Earth, you are standing and gazing up at the sun. A triangle with three sides is created. The sun's height, the sun ray that travels from the bottom of the sun to your eyes, and these three directions are the three sides of the sun.
The Central Angle Theorem states that the central angle occupied by two points on a circle is always twice the inscribed angle occupied by those same two points.
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68 points if someone answers this. Rotate the object 180 degrees counterclockwise around the origin. What are the new coordinates?
Answer:
HEY YOU! Yes, you, sitting behind your screen reading this. I don't know you and you certainly don't know me. But I want to tell you something. Everyone has their own story. Yours might be filled with joy and happiness, or it might be clouded with pain and misfortune. I want you to know that you're a beautiful, wonderful, talented person. Even if your life isn't going the way you want it to right now, I know that you'll be able to make it out alright. I want you to do me a favor. I know I'm just a stranger, but just trust me, okay? Every time you see your reflection, be it in the mirror in the bathroom, in a window somewhere, or in a puddle on the street, I want you to look at yourself and give yourself a hug. Because even if you aren't the prettiest or the smartest or the funniest, you're something that no one else can be: you. And you are the greatest thing you can be. Smile at strangers. Be confident in yourself. Cry when you feel like crying, laugh when you feel like laughing. Treat yourself like a god/goddess because you deserve it. Hold your head up and keep your heart open. You're worth everything and then some. And always remember that no matter what, even if it doesn't seem like it, you're everything to someone. I was bullied for so long and was told that I wasn't beautiful, and it broke me down. But I realized that I am beautiful and so is everyone else. I wanted to make sure no one felt upset like I did
Step-by-step explanation:
Work out the circumference and area of the circular piee of glass needed for the top of a display cabinet which has a diameter of 1.8m. Use #=3.14? Circumference = in m and Area = in m2
Hello there!
Answer:
Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]
Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]
Step-by-step explanation:
We should know 2 important formulas:
Circumference: [tex]l = 2\pi r[/tex]
Area: [tex]S = \pi r^{2}[/tex]
So we need to find the value of r (radius) which equal to a half of diameter:
[tex]r = d/2[/tex]
[tex]r = 1.8/2 = 0.9(m)[/tex]
Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]
Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]
ANSWER ASAP PLZZZZZ
NEED HELP WITH THIS QUESTION
Answer:
x=-3
Step-by-step explanation: