Answers
Answer:
0
Step-by-step explanation:
Step 1: Define
[tex]\lim_{x \to \infty} e^{x-x^2}[/tex]
Step 2: Substitute in infinity
[tex]\lim_{x \to \infty} e^{\infty-\infty^2}[/tex]
We know that the second exponent is always going to be bigger than the 1st exponent, so we would get a negative exponent.
[tex]\lim_{x \to \infty} e^{-\infty}[/tex]
We can simplify a negative exponent into a fraction.
[tex]\lim_{x \to \infty} \frac{1}{e^{\infty}}[/tex]
We know that if we keep plugging in larger numbers for x, the denominator is going to be infinitely big. And bigger the number we are dividing by, the smaller the entire fraction is going to be.
Therefore, we would be approaching 0.
Related Questions
A large cable company reports the following.
80% of its customers subscribe to its cable TV service.
41% of its customers subscribe to its Internet service.
31% of its customers subscribe to its telephone service.
25% of its customers subscribe to both its cable TV and Internet service.
20% of its customers subscribe to both its cable TV and phone service.
22% of its customers subscribe to both its Internet and phone service.
15% of its customers subscribe to all three services.
Consider the chance experiment that consists of selecting one of the cable company customers at random. Use the probability formulas of this section to find the following probabilities.
a. P(cable TV only)
b. P(Internet I cable TV)
c. P(exactly two services)
d. P(lnternet and cable TV only)
Answers
Answer:
Step-by-step explanation:
Let n(U) be total amount or customers = 100%
n(C) = 80% of its customers subscribe to its cable TV service.
n(I) = 41% of its customers subscribe to its Internet service.
n(T) = 31% of its customers subscribe to its telephone service.
n(CnI) = 25% of its customers subscribe to both its cable TV and Internet service.
n(CnT) = 20% of its customers subscribe to both its cable TV and phone service.
n(InT) = 22% of its customers subscribe to both its Internet and phone service.
n(CnInT) = 15% of its customers subscribe to all three services
number of those that subscribed to TV only = n(C) - (n(CnInT')+(n(CnI'nT)+(n(CnInT))
= 80-[(25-15)+(20-15)+15]
= 80-{10+5+15)
= 80-30
= 50
Hence 50% read cable TV only
Pr(cable TV only) = 50/100 = 1/2
2) number of people that read internet and cable TV = 25%
Pr(internet and cable) = 25/100 = 1/4
3) number of people that had exactly two services are;
n(cable and internet only)+n(internet and phone only)+(cable and phone only)
= (25-15)+(22-15)+(20-15)
= 10+7+4
= 21%
Hence 21℅ read exactly two services
pr(exactly 2 services) = 21/100
4) number of people that read internet and cable only = n(CnI) - n(CnInP)
= 25-15 = 10%
Pr(Internet and cable only) = 10/100 = 1/10
Which postulate or theorem proves that A CFE and ADFE are congruent? o OSSS Congruence Postulate O SAS Congruence Postulate O AAS Congruence Theorem O ASA Congruence Postulate 1 2
Answers
Answer:
Option (1)
Step-by-step explanation:
Given:
CF ≅ DF
CE ≅ DE
To prove:
ΔCFE ≅ ΔDFE
Solution:
From ΔCFE and ΔDFE,
Statements Reasons
1). CF ≅ DF 1). Given
2). CE ≅ DE 2). Given
3). FE ≅ FE 3). Reflexive property
4). ΔCFE ≅ ΔDFE 4). By SSS property of congruence
Therefore, SSS postulate of congruence will be the answer.
Option (1) will be the answer.
Answer:
the correct answer is sas
Step-by-step explanation:
took the test
in 2015, the number of fish in a pond was 80. In 2016 The number of fish declined by 75% How many fish were in the pond in 2016?
Answers
I think the the answer is 20
I only have 30 minutes left
Answers
Answer:
what is the question?
Step-by-step explanation:
U only posted a picture of a half paragraph
I can’t see the whole thing
Neptunes average distance from the sun is 4.503x10^9 km. Mercury’s average distance from the sun is 5.791 x 10^7 km. About how many times farther from the sun is Neptune than mercury right answer in scientific notation
Answers
Answer:
7.78*10^1
Step-by-step explanation:
Plzz Answer this Correctly!!!! It's Easy Points!!!!
The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x.
Answers
dnssnskjsjsjsjajjawiiwiw
Have a nice day! :)
Please help me with this
Answers
Answer:
A = (4, -2)
B = (-2, -2)
C = (-2, 2)
Please Brainliest! It wuld help out a lot..
Select all the conditions for which it is possible to construct a triangle.
Group of answer choices
A triangle with angle measures LaTeX: 60^\circ 60 ∘ , LaTeX: 80^\circ 80 ∘ , and LaTeX: 80^\circ 80 ∘
A triangle with side lengths 4 cm, 5 cm, and 6 cm
A triangle with side lengths 4 cm, 5 cm, and 15 cm
A triangle with side lengths 4 cm and 5 cm and a LaTeX: 50^\circ 50 ∘ angle
A triangle with angle measures LaTeX: 30^\circ 30 ∘ and LaTeX: 60^\circ 60 ∘ , and a 3 cm side length
Answers
Answer:
A triangle with side lengths 4 cm, 5 cm, and 6 cm
A triangle with side lengths 4 cm, 5 cm, and 15 cm
A triangle with side lengths 4 cm and 5 cm and a 50∘ angle
A triangle with angle measures 30 ∘ and 60 ∘ , and a 3 cm side length
Step-by-step explanation:
A triangle measuring 60 ∘, 80∘ and 80∘ is more than sum of angles of a triangle (180∘). This cannot be constructed as triangle because it is more than 180∘.
A triangle can be constructed, If the sum of any two sides is greater than third side,
Thus, a triangle with side lengths 4 cm, 5 cm, and 6 cm can be constructed because;
4 cm + 5cm > 6 cm
A triangle with side lengths 4 cm, 5 cm, and 15 cm can be constructed as well, because;
5 cm + 15 cm > 4 cm
A triangle with side lengths 4 cm and 5 cm and a 50 ∘ angle can be constructed ( two sides and an angle between them)
A triangle with angle measures 30 ∘ and 60 ∘ , and a 3 cm side length can be constructed ( two angles and a side between them)
How much was the initial website fee? (from this equation)
Answers
Answer:
y= .75x + 3.75
Step-by-step explanation:
1. Distribute x:
Original Equation= y-2.25=.75(x-8)
So you just do .75 times x and .75 times -8= .75x - 6
2. Isolate the y Variable:
Add 2.25 to both sides. So -6 + 2.25= 3.75
Now you have left y= .75x + 3.75
Which best describes the solution set of the compound inequality below? 2 + x ≤ 3x – 6 ≤ 12 4 ≤ x ≤ 9 4 ≤ x ≤ 6 –2 ≤ x ≤ 2 –2 ≤ x ≤ 3
Answers
Answer:
Im sure you dont need this anymore but in case someone else does, im pretty sure the answer is B
Answer:
B is tha right answer
Step-by-step explanation:
If the quarter note equals one beat, how many beats would this note be worth?
Answers
Answer:
4 beats
Step-by-step explanation:
that is a whole note and 4 quarters are equal to one whole
Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?
Answers
Answer:
Step-by-step explanation:
9kg
The surface area of the rectangular prism can be found using the expression
6
x
3
+
4
x
2
+
12
x
. If the value of x is 3, what is the surface area, in square centimeters, of the prism?
Answers
Answer:
102
Step-by-step explanation:
6*3*3+4*3*2+12*2=102
hopefully, it's right
Can someone please tell me answerrrrrrr
Answers
Answer: B
Steps: $208.08
PLz mark brainliest:)
What line is perpendicular to y=2/7x+11/7 travel through (-3,8)
Answers
Answer:
2y- 16 = 7x + 21
Step-by-step explanation:
Y= mX+ c
y = (2/7)x + 11/7
m= gradient= 2/7
The perpendicular gradient should be the negative reciprocal of the gradient we have now.
which is : -1÷(2/7) = -7/2
Now for the perpendicular line equation, we have:
y = 8x= -3m= 7/2y - y1 = m ( x - x1 )
y - 8 = 7/2 ( x + 3 )
2y - 16 = 7x + 21
Evaluate the expression for x = 5, y = 3, and z = 14.
5x−6y+20z4yz
Answers
Answer:
5(5)-6(3)+20(14)4(3)(14)
25-18+47040
7+47040= 47047
Answer:
4
Step-by-step explanation:
because on my k12 school say so so ya
Determine if the transformation of figure a to figure b is a dilation
Answers
g(x)=x^3
f(x)=(x+6)^3 -3
Ring to the equations above the graph of f(x) would be obtained from the graph of g(x) by translating the graph of g(x)
Answers
Hope this helps
At a baseball game, Sheena bought a sandwich for $6.95 and two pretzels for $2.75 each. She paid with a $20 bill. How much change did she receive? Explain your thinking. *
Answers
Answer:
$7.55
Step-by-step explanation:
6.95+2.75+2.75=12.45
20-12.45=7.55
A line is decreasing from left to right and crosses the y-axis at-5. Which of the following equations matches the
description of the line?
A. y=5x=5
B. y=-5x-5
C. y=5x -5
D. y=-5x + 5
Answers
Answer:
B
Step-by-step explanation:
y=mx+b is the slope-intercept form. Y will remain the same. Since the slope is decreasing, use a negative. The y-intercept is -5, so substitute that for b.
UM WHAT I NEED SOME ADMINS LOOK
Answers
Answer:
LOL UGH THAT KEEPS HAPPENING TO ME
Step-by-step explanation:
Answer:
try reloading the page or check your internet
Step-by-step explanation:
Edgar has 20 dimes and nickels,all together sum up to $1.40.what does each one of them cost?
Answers
Answer:Edgar has 12 nickles and 8 dimes.
Step-by-step explanation:
Veronica is making emergency- preparedness kits to share with friends. She has 20 bottles of water and 12 cans of food, which she would like to distribute equally among to kits, with nothing left over. What is the greatest number of kits Veronica can make ?
Answers
Answer:
she could only make 4
Step-by-step explanation:
A florist sold 45 flowers in a day and 60 flowers on the next day. If p is the percent increase in the number of flowers sold, which proportion can be used to calculate p?
Answers
Answer:
c
Step-by-step explanation:
i took the test
Answer: C
Step-by-step explanation:
Only one that makes sense and I just took that test
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use cross products to demonstrate whether or not the two ratios are equivalent:
4/6 and 14/21.
Answers
so, essentially you’re just drawing two diagonal lines from one side to the other, multiplying those numbers together, and setting them equal
so: 4/6 and 14/21 = (4*21 = 6*14) = (84 = 84)
84 is equal to 84 so these two ratios are equivalent.
A Mountain road rises 30 feet for a 490-foot run. What is it’s slope
Answers
490/30 = 82
you simply just divide the two numbers to get slope
Answer:
Correct answer is 3/49
Step-by-step explanation:
Does this table represent a function? Why or why not?
X
у
2.
1
3
4.
4
4
5
2
5
5
Answers
Enter the correct answer in the box. Write the sum of √28x^6 + 4√7x^6 in simplest form, if x ≠ 0.
Answers
Answer:
21.97025026/250
-2/5= -1/3m + 3/5
Solve please
Answers
m = 3
how i know you may ask , cause it’s easy
The population of China is approximately 1.381x10^9, and the population of the US is approximately 3.23x10^8. About how many people live in both countries combined? Answer in scientific notation
Answers
Answer:
1.704 x 10⁹ people
Step-by-step explanation:
Population of China = 1.381 x 10⁹
Population of US = 3.23 x 10⁸
Problem:
Number of people in both countries combined = ?
Solution
To solve this problem, simply add them together;
Let us make the exponents the same for easy addition;
Population of China = 1.381 x 10⁹ = 13.81 x 10⁸
Poplation of US = 3.23 x 10⁸
Adding both:
(13.81 x 10⁸) + (3.23 x 10⁸)
⇒ (13.81 + 3.23) x 10⁸
⇒ 17.04 x 10⁸
⇒ 1.704 x 10⁹