Answers
Answer:
[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = \infty[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3)[/tex]
Step 2: Evaluate
[Limit] Apply Limit Rule [Variable Direct Substitution]:[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = -7(- \infty)^5 + (- \infty)^3[/tex]
Recall that x⁵ is a "faster" function than x³. Also recall that we have 2 negatives, which would turn positive. Therefore, we can ignore the 2nd part of the limit and focus on the first:
[tex]\displaystyle \begin{aligned}\lim_{x \to -\infty} (-7x^5 + x^3) & = -7(- \infty)^5 + (- \infty)^3 \\& = -7(- \infty)^5 \\& = -7(- \infty) \\& = 7(\infty) \\& = \boxed{\infty} \\\end{aligned}[/tex]
∴ we have found the limit to equal infinity.
---
Learn more about limits: https://brainly.com/question/27438198
Learn more about calculus: https://brainly.com/question/27351658
---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Related Questions
A grounds crew is marking out a circular logo at the center of a football field. The logo will
have a circumference of 141.3 feet. What will be the diameter length of the logo in yards?
Answers
Answer:
circumference of a circle formula is C=2*pi*r
Step-by-step explanation:
then
141.3 = 2*pi * r
solve for r
141.3/ (2*pi) = r
22.48859 feet
diameter is 2*r
2*22.48859= 44.9771 feet
divide by 3 because there are 3 feet in one yard
44.9771/3= 14.99239 yds.
it doesn't say to round off, but I would call this 15 yds.
Diameter is 15 yards ± .008 yds That's just about 1/4 of an inch
what is the diffrence of (x+5) and (2x+3)
Answers
Answer:
2-x
Step-by-step explanation:
A triangular window in a beach house is 48 inches in height and contains 1728 square inches of glass. Find
the measure of the base of the window.
Answers
[tex]\huge{\color{red}{\fbox{\textsf{\textbf{Answer}}}}} [/tex]
To find :-
The base of a triangle glass window
Given :-
Height of the window = 48 inches
Area of glass = Area of traingle = 1728 square inches
There is a formula to find area of triangle
[tex]area = \frac{1}{2} \times base \times height \\ 1728 = \frac{1}{2} \times base \times 48 \\ 1728 = 24 \times base \\ \frac{1728}{24} = base \\ 72 \: inches = base[/tex]
Result :-
The base of triangle window of beach house is 72 inches.
Which of the following sets of ordered pairs defines a relation that
is NOT a function?
O {(1, 5), (5, 1), (7, 9), (9, 7)}
O {(6, 7), (8, 10), (13, 9), (21, 10)}
O {(2, 2), (3, 4), (5, 8), (12, 16)}
O {(5, 14), (5, 16), (7, 23), (11, 31)}
Answers
para lang po sa points hehe
The parent function f(x)= x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions represented by
graph B and graph C.
Answers
Answer:
The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?
The vertex of the graph of g is 1.5 units to the left of
the vertex of the graph of f.
B
The y-intercept of the graph of g is 1.5 units above the
y-intercept of the graph of f.
The graph of g is a reflection of the graph of f across
the y-axis.
The graph of g is a reflection of the graph of f across
the x-axis.
Step-by-step explanation:
help pls math is hard
Answers
if n=14 when m=4 find n when m=23
Answers
3.5 x 23 = 80.5
therefore n=80.5 or you round up and get 81.
need help with #10 :’)
the # is “Which of the following expressions is equivalent to 42 + 63?
A- 3(15+21)
B- 6(7+9)
C- 7(6+9)
D- 14(3+3)
8
Answers
Answer:
the answer is c
Step-by-step explanation:
first add : 42+63=105
so you need to solve the expressions until you find the one that equal the same amount.
start with the problem in the parenthesis then multiply.
you will find that C equals 105
6+9=15
15×7=105
What is the measure of gef
Answers
Select the correct answer.
A polygon is translated and then stretched vertically. Which statement is correct?
A.
The translation does not preserve side lengths and angles, but the vertical stretch preserves side lengths and angles of the preimage.
B.
Neither the translation nor the vertical stretch preserves side lengths and angles of the preimage.
C.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
D.
Both the translation and the vertical stretch preserve side lengths and angles of the preimage.
Answers
C: The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
How to explain translation of a polygon?When we talk about the concept of translation in transformations, it means that the side lengths remain the same. This means the object is just moved from one place to another and the lengths are preserved.
However, when we stretch the polygon, it means we are increasing or decreasing at least one side length.
Thus, we can conclude that The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
Read more about Translation at; https://brainly.com/question/27843693
#SPJ1
The volume of the given figure is __ ft3
Answers
Answer:
I believe the answer is 20
Which statement best describes the primary duty of the judicial branch of government? A. to appropriate and pass the budget B. to interpret the laws and Constitution C. to make treaties and declare war
Answers
Answer:
B
Step-by-step explanation:
just look up its responsibilities as a branch, and its judicial its in its name
Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus
Answers
Answer:
Line LK is the dimameter
Step-by-step explanation:
A diameter is a line that goes through the center and goes from one end a the circle to the other end of the circle.
Hope this helps!!
x^2 + y^2 +2x+6y=26
what is the center
what is the radius
please show calculations/steps
Answers
Answer:
centre = (- 1, - 3 ) , radius = 6
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² + 2x + 6y = 26 ( collect x and y terms )
x² + 2x + y² + 6y = 26
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 26 + 1 + 9
(x + 1)² + (y + 3)² = 36 ← in standard form
with centre = (- 1, - 3 ) and r = [tex]\sqrt{36}[/tex] = 6
[tex](x {}^{2} + 2x + 1) - 1 = (x + 1) {}^{2} - 1[/tex]
[tex](y {}^{2} + 6y + 9) - 9 = (y + 3) {}^{2} - 9[/tex]
[tex](x + 1) {}^{2} - 1 + (y + 3) {}^{2} - 9 = 26[/tex]
[tex](x + 1) {}^{2} + (y + 3) {}^{2} = 26 + 10[/tex]
[tex](x + 1) {}^{2} + (y + 3) {}^{2} = 36[/tex]
General form:[tex](x - a) {}^{2} + (y - b) {}^{2} = r {}^{2} [/tex]
Center coordinates: I ( a , b ) I ( -1 , -3 )Radius:[tex]r {}^{2} = 36[/tex]
[tex]r = \sqrt{36} = 6[/tex]
During a 6-week weight-loss regimen, Tony lost weight at a rate of 1.1 pounds per day. How much did he lose after 16 days? After weeks?
Answers
Answer:
After 16 days: 17.6 pounds
After 6 weeks: 46.2
Step-by-step explanation:
1.1 x 16 = 17.60
42 x 1.1 = 46.2 (6 weeks x 7 days a week = 42)
The weight loss after 16 days will be 17.6 pounds and after 6 weeks will be 46.2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that during a 6-week weight-loss regimen, Tony lost weight at a rate of 1.1 pounds per day.
The weight loss after 16 days will be calculated as,
1.1 x 16 = 17.60 pounds
The weight loss after 6 weeks will be calculated as,
42 x 1.1 = 46.2 (6 weeks x 7 days a week = 42)
Therefore, the weight loss after 16 days will be 17.6 pounds and after 6 weeks will be 46.2.
To know more about an expression follow
https://brainly.com/question/14094721
#SPJ2
How to solve four hundred thirty five minus six hundred for teen
Answers
Answer:
- 179
Step-by-step explanation
There are numbers behind Zeros and they are known as negtive numbers
When my pot of paint is half full, it weighs 5.8 kg. When my pot of paint is one quarter full, it weighs 3.1 kg.
What is the weight of the full pot?
Answers
The paint in the pot is an illustration of a linear equation and the weight of the full pot is 11.2 kg
How to determine the weight of the full pot?The given parameters can be represented using the following ordered pairs:
(x,y) = {(0.5, 5.8) and (0.25, 3.1)}
The slope of the equation is calculated using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (3.1 - 5.8)/(0.25 - 0.5)
Evaluate
m = 10.8
The equation is then calculated using:
y = m(x - x1) + y1
This gives
y = 10.8(x - 0.5) + 5.8
Expand
y = 10.8x + 0.4
When the pot is full, we have x = 1
So, the equation becomes:
y = 10.8 * 1 + 0.4
Evaluate
y = 11.2
Hence, the weight of the full pot is 11.2 kg
Read more about linear equations at:
https://brainly.com/question/14323743
Two math classes took the same quiz. The scores of 10 randomly selected students from each class are listed below.
Sample of Class A: 75, 80, 60, 90, 85, 80, 70, 90, 70, 65
Sample of Class B: 95, 90, 85, 90, 100, 75, 90, 85, 90, 85
Based on the medians of the scores for each class, what inference would you make
about the quiz scores of all the students in Class A compared to all the students in
Class B? Explain your reasoning to justify your answer.
(written answer)
Answers
Answer:
The score of class b were better than the scores of class a.
the median for class a was 77.5
the median for class b was 90
therefore class b overall scored better on the quiz than class a
Step-by-step explanation:
hope this helps :)
Your brother is 1/3 your age. Your sister is 4 years older than your brother. Your sister is 9 years old. Write and solve an equation to find your age a.
what is the equation helppppp
Answers
Answer:
Your age(a) is 15 in this case.
If your brother is 1/3 of your age, that means multiply your brother's age by 3
Your sister is 9, and is 4 years older than your brother. In that case, we now know that your brother is 5
With that information, we can put this into a valid equation.
------------------------------------------------------------------------------------------------------------
turn 1/3 into a flipped fraction, 3/1 which is equal to 3
your brother's age is 5, so the first value would be 5
5 times 3 is 15, so that means a is 15
[tex]5 * 3/1 = 15[/tex]
A factory sells backpacks for $40.00 each. The cost to make
1 backpack is $10.00. In addition to the costs of making
backpacks, the factory has operating expenses of $12,000 per week. The factory's goal is to make a profit of at least $980
each week.
Which inequality represents the number of backpacks, x, that
need to be sold each week for the factory to meet this goal?
A. 30x + 12,000 < 980
B. 30x + 12,000 > 980
C. 30x - 12,000 < 980
D. 30x – 12,000 2 980
Answers
Answer:
it is a to my calculation
Step by step
Write 5 1/6 as a decimal. Show your long division work
Answers
Answer:
5.1666666666667
To solve ✅
We know that...
[tex]5\frac{1}{6} = 5 + \frac{1}{6}[/tex]
So that means
[tex]\frac{1}{6}[/tex] = 1 ÷ 6
And with that info, 5 1/6 becomes
[tex]5 + (\frac{1}{6})[/tex]
_______________________________________________________
Solve by improper fractions ➗
We know from the last problem that...
[tex]5\frac{1}{6} = 5 + \frac{1}{6}[/tex]
Converting 5 as a whole number to a fraction, it becomes
[tex]5 = \frac{5}{1}[/tex]
Now it becomes...
[tex]\frac{5}{1} + \frac{1}{6}[/tex]
Since the fractions will not change, first find the whole, then multiply your improper fraction by the whole, and add the part
[tex]\frac{6}{6}\\\\ = (\frac{5}{1} * \frac{6}{6} ) + \frac{1}{6}[/tex]
Converting to improper fraction
[tex]\frac{30}{6}\\\\= \frac{30}{6} + \frac{1}{6}(part) = \frac{31}{6}[/tex] never add the denominators when they are equal.
We know that...
[tex]\frac{31}{6}[/tex] = 31 ÷ 6
Whose quotient is equal to
[tex]5.166[/tex]
________________________________________________________
Need more information? Ask in comments.
Simplify: 173‾√−295‾√+33‾√+115
Answers
The simplified form of the expression 173‾√−295‾√+33‾√+115 is; (1/73) (√-23/1947)
What is the simplified form of the expression?It follows from the task content that expression given is; 173‾√−295‾√+33‾√+115.
It therefore follows that the expression can be simplified as follows;
173‾√−295‾√+33‾√+1151/173 (√(115/-295×33))(1/73) (√-23/1947)On this note, it follows that the simplified form of the expression is; (1/73) (√-23/1947).
Read more on simplifying an expression;
https://brainly.com/question/723406
ILL GIVE BRAINLIEST!! ANSWER PLEASEEE :,((
Last year, Dan opened an investment account with $6600. At the end of the year, the amount in the account had increased by 26.5%. How much is this increase
in dollars? How much money was in his account at the end of last year?
Answers
Answer:
5600*.065=364
5600+364=$5964 in the account at the end of the year.
Step-by-step explanation:
Answer:
22.5% = 22.5/100
(22.5/100)*6600
How much money was in his account at the end of last year?
$2200 plus the increase
brainliest?
Please help photo attached
Answers
Answer:
Your answer would be 2.
Step-by-step explanation:
If you divided 20 by 10 you get 2.
That's your answer.
Hope this helps.
Work out the sheet below
Answers
Answer:
32cm² is the area of face CFGD.
Step-by-step explanation:
What is the measure of angle c?
Answers
Answer:
∠ c = 29°
Step-by-step explanation:
∠ b and 97° are vertically opposite angles and are congruent , so
∠ b = 97°
the 3 angles in the triangle sum to 180° , that is
54° + b + c = 180°
54° + 97° + c = 180°
151° + c = 180° ( subtract 151° from both sides )
c = 29°
Answer:
•SEE ABOVE ATTACHMENT•HOPE IT HELPS!
MARK AS BRAINLIAST.
please help
i cant do this
Answers
Answer:
42 sq. cm
Step-by-step explanation:
Answer: 42 sq. cm
Length of Big Rectangle: 7
Width of Big Rectangle 7+0.5+0.5 = 8
Area of Big Rectangle: 56
Area of Small Rectangle = 0.5*7 = 3.5
Area of 4 Small Rectangles = 3.5 *4 = 14
Shaded Area = Big Rectangle - 4 Small Rectangles = 56 - 14 = 42 sq. cm
What is the greatest common factor of x^6 and x^9
Answers
PLEASE ANYONE I NEED HELP
Answers
Answer:
Number 1, or letter H should be 3 and 3.
Step-by-step explanation:
There's 1 hamburger, 1 hot dog and 1 chicken sandwich. Sandwich wise it's 3.
There's 1 cola, 1 diet cola and 1 lemonade, thus making it 3 as well.
find the vaule of 3x + 2 when 7 +x =5
Answers
Answer:
=> -4
Step-by-step explanation:
7 + x = 5
=> x = 5 - 7
=> x = -2
Putting the value of x = -2 in equation 3x + 2
=> 3(-2) + 2
=> -6 + 2
=> -4
Answer:
-4
Step-by-step explanation:
when 7 +x =5 solve for x by subtracting 7
x=5-7 =-2
3x+2 = substitute (-2) for x
3( )+2
3(-2)+2
-6+2=-4