Answers
Answer:
[tex]\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2} = \frac{1}{5}[/tex]
General Formulas and Concepts:
Calculus
LimitsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2}[/tex]
Step 2: Determine Rule
If the highest power of x in a rational expression is the same both numerator and denominator, then the limit as x approached ∞ would be the highest term coefficient in the numerator divided by the highest term coefficient in the denominator.
Step 3: Identify
Numerator highest power: x²
Coefficient: 1Denominator highest power: 5x²
Coefficient: 5Step 4: Evaluate
Apply rule.
[tex]\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2} = \frac{1}{5}[/tex]
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Limits
Book: College Calculus 10e
Related Questions
Evaluate the expression for p = 2.
4p =
Answers
Answer:
4p = 8
Step-by-step explanation:
2 × 4 = 8
4p = 8
what is the answer???
Answers
Answer:
360 seconds
Step-by-step explanation:
ALL YOU HAVE TO DO IS MULTIPLY 1/2 AND 12, WHICH GETS YOU 6! now in seconds just multiply 6 times 60 to get 360!
Answer:
6 minutes
Step-by-step explanation:
We multiply the amount of problems by the time per problem to get the equation (1/2)(12)=x where x is the time she takes to complete 12 questions. (1/2)*(12) = 6.
What congruence theorem can you use to show that the two wedges of cheese have the same length?
9.6 cm
9.6 cm
3.2 cm
3.2 cm
You can show that the two wedges of cheese have the same length using the
(blank) Congruence Theorem.
Please help!!
Answers
What function is represented by a line with slope −2 that passes through the point (0, 4)?
Answers
Answer:
y=-2x+4
Step-by-step explanation:
y=ax+b
and point (0,4) passes through this line so 4=-2(0)+b
4=b
equation is :y=-2x+4
Find the EXACT circumference of a circle with a diameter of 14 inches.
Answers
Evaluate this expression for a = 3 and b = 4.
(a + 4)
b 3(8 + 2)
+
b-2
ad
A. 6
B.
9
O C. 11
D.
18
O
Answers
Answer:
The answer should be D
Step-by-step explanation:
I hope this helps
Plz help
.
X
X
X
X
D
E
D
D
D
Answers
Answer:
radius by 2 ye this will be the correct answer d=r/2
what is 3/5 multiplied by 1/7?
3/12
3/35
4/12
10
35
Answers
3/35 is the answer!
3 x 1 = 3
___
5 x 7 = 35
I NEED HELP ASAAP SOMEONE!!
Answers
Answer:
5x4x3=60 3x4x5=60
Step-by-step explanation:
Alice wants to put a fence around a portion of her yard in the shape of a right triangle. She knows that the larger leg of the triangle is
2
feet longer than its smaller leg. The hypotenuse is
4
feet longer than the smaller leg.
How many feet long is the hypotenuse?
Answers
Answer:
Step-by-step explanation:
[tex]h^2=x^2+y^2\\ \\ h=y+4,\ x=y+2\\ \\ (y+4)^2=(y+2)^2+y^2\\ \\ y^2+8y+16=y^2+4y+4+y^2\\ \\ y^2+8y+16=2y^2+4y+4\\ \\ y^2-4y-12=0\\ \\ (y-6)(y+2)=0\\ \\ y>0\\ \\ y=6ft\\ \\ h=6+4=10ft[/tex]
Which expression is equivalent to (r -7 6?
Answers
A chemistry experiment needed 12.45 grams of chemical to produce one liter of a gas. If Zoe wanted 24 liters of gas, how many kilograms of the chemical will she need?
Answers
(10 A person flying a kite has released
123 ft of string. The string makes an
angle of 21 degrees with the ground. How high
is the kite ?
Answers
Answer:
The kite is about 44.1 feet high.
Step-by-step explanation
Since you are trying to find the height, you would draw a triangle to diagram which sides you need to use. The 123 ft of string would be the hypotenuse of the triangle while the 21 degrees is the theta. You are trying to find the height and from the theta that would be the opposite side so you would use sine because you are using opposite and hypotenuse.
sin21=x/123
You have sin of 21 because that is the angle measure, then opposite over hypotenuse which is x/123.
You then multiply both sides by 123 to get the variable of x alone on one side.
123sin21=x
Then just plug this into your calculator and round to the nearest tenth and you get 44.1 feet.
Hope this helped explain how to do these problems, I had trouble doing them awhile back in Algebra 2 so hope this helped out a little.
Helpppp me prettyyyy please I’m confused
Answers
Answer:
For every 1 vote cast for Candidate D, there were 4 votes for candidate C.
Step-by-step explanation:
Hope this helps! Have a good day!
Answer:
For every 1 vote cast for Candidate D, there were 4 votes cast for Candidate C.
(take π =22/7). capacity of a solid cylinder with height 5cm and diameter of 6cm.
Answers
Step-by-step explanation:
πr^2h
22/7×3×3×5
141.428
You made a cardboard tree that is 48 inches tall to use as a stage prop for
a play. You need to make a diagonal brace that connects a 28-inch long
horizontal brace to the top of the tree. Find the length of the diagonal
brace to the nearest tenth of an inch.
Answers
Answer:
55.6 inch
Step-by-step explanation:
the cardboard tree, the horizontal base and the diagonal would form a right angled triangle.
the carboard tree would be the height
the horizontal base would be the base
the diagonal would be the hypotenuse
the length of the diagonal base can be determined using the Pythagoras theorem
the Pythagoras theorem : a² + b² = c²
a = base
b = height
c = hypotenuse
48² + 28² = 3088
c = √3088 = 55.6 inch
Given the two similar triangles below. What is the measure of x?
Answers
Answer:
x=2.4
Step-by-step explanation:
as the 2 triangles are similar,
[tex] \frac{6}{x} = \frac{5}{2} [/tex]
therefore ;
[tex]x = \frac{6 \times 2}{5} [/tex]
[tex]x = 2.4[/tex]
Answer:
The answer would be 2.4
Step-by-step explanation:
This is because 5 is the same as 2, and 7 is the same as y, and then 6 is the same as x. If you divide 5 by 2 you get 2.5 if you divide 6 by 2.5 you get 2.4
Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figures are not drawn to scale.
help
Answers
TUWV ~ DEFG; 6:4.5
please mark brainliest :)
I need help someone math pls I need this done points and brainlest picture **
Answers
Answer:
The formula for the diameter of a circle is 2[tex]\pi[/tex]r, or [tex]\pi[/tex]d.
3.14(10.5)= 32.97 in.
Step-by-step explanation:
The formula for the diameter of a circle is 2[tex]\pi[/tex]r, or [tex]\pi[/tex]d.
3.14(10.5)= 32.97 in.
Kayley has a craft box full of buttons. The craft box has 6 yellow buttons, 7 black buttons, 4 red buttons, 2 pink buttons, 8 green buttons, and 3 buttons. If Kayley is randomly choosing buttons out of the box one at a time and then returning them, choose all the statements that are true.
A. Kayley has 1/15 chance in picking a pink button.
B. Kayley has an equal chance in choosing any color button.
C. Kayley has 2/15 chance in choosing a green button.
D. Kayley has a 4/5 chance in picking a button that is not yellow.
E. Kayley will more likely pick a brown button than a red button.
Answers
Answer: D
Step-by-step explanation:
A quality check manager designs a simulation using a random generator, where numbers 0, 1, 2, and 3 represent that a bulb works correctly, and the number 4 represents that a bulb is defective. The quality check manager performs the simulation 20 times. The table shows the results.
112 441 200 421 334
032 012 230 103 120
201 244 102 022 032
343 010 443 004 344
Based on the results of the simulation, what is the probability that the next 3 bulbs will all work correctly? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW ME YOUR WORK!!)
A. 15
B. 25
C. 35
D. 45
Answers
Answer:
Ok hold on one moment
Step-by-step explanation:
Tony is 2 years older than crystal. In 8 years the sum of their ages will be 78. How old is tony now?
Answers
Hiii pple can yall help me out here plz
Single term algebraic expression is called?
1. Monomial
2. Binomial
3. Trinomial
4.None of these
Answers
Answer:
the answer is Monomial I hope this helps
Answer:
Monomial - an expression that consist of 1 term
Step-by-step explanation:
Bi - two
Binomial - an expression consisting of two terms
Tri - three
Trinomial - an expression consisting of three terms
The volume of the prism shown in 60 cm Given the dimensions shown below, what would be the value of x ?
Answers
Answer:
(3× - 2)(x - 1)
3x² - 3x - 2× -2
3x² - 5× - 2
3x² + × - 6× - 2
× (3x + 1) -2 (3× + 1)
(3× + 1) (× - 2)
What is the equation of the line in the slope intercept form?
Answers
Answer:
y=x+100
Step-by-step explanation:
The sum of two numbers is twenty-four. The second number is equal to twice the first number. Call the first number m and the second number n.
translate
Answers
Step-by-step explanation:
m+n=24.....(1)
n=2m
put value of n in equation 1
m+2m=24
3m=24
m=8
n=2(8)
n=16
Which of the following angles is an alternate ne angle to angle
7
1
2
ī
3
4
5/6
7 8
vīlī, then
2125
22 2 26
23 227
Answers
Answer:
<7
Step-by-step explanation:
<7
what is 21+208 I AM A SUPER IDIOT PLZ HELP ME
Answers
Answer:
229
229
229
it's two hundred and nine
Answer:
your answer is 229
Step-by-step explanation:
200 plus 20 is 220 and 8 plus 1 is 9 so u add it all together and its 229
R + 4 when r = 13
Can u explain it
Answers
Answer: r + 4
Step-by-step explanation:
what is 4/7x -3x-3/x²-x
Answers
Answer:
-24x/7 - 3/x^2
Step-by-step explanation:
group like terms
4/7 x-3x-x-3/x^2
4/7 x-3x-x=-24/7 x
-24/7 x - 3/x^2
multiply
24/7 x - 3/x^2
=-24x/7 - 3/x^2