Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim xâ[infinity] x + x2 1 â 5x2
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Given the expression;
[tex]\lim_{x \to \infty} \dfrac{x+x^2}{5x^2}[/tex]
To find the limit of the function, we need to first divide through by the highest degree if x i.e x² as shown;
[tex]\lim_{x \to \infty} \dfrac{\frac{x}{x^2} +\frac{x^2}{x2}}{\frac{5x^2}{x^2} }\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5}\\As \ x \ tends \ to \ \infty, \ \frac{1}{x} \ tends \ to \ zero. \ Hence;\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5} = \frac{0+1}{5}\\= \dfrac{1}{5}[/tex]
Hence the limit of the function as x tends to infinity is [tex]\frac{1}{5}[/tex]
Edgardo adquirió un vehiculo a un costo de $23,970. Su vida útil es de 7 años y tiene
un valor residual de $975.
a ¿Cuánto deprecia el vehículo cada año?
b. ¿Cuál será su valor al cabo de 5 años?
c. Haz la tabla de depreciación y valor por año
Responder:
$ 3,285
$ 7545
Explicación paso a paso:
Dado que:
Costo del vehículo = $ 23,970
Valor de rescate = $ 975
Vida útil = 7 años
Depreciación por año = (costo del vehículo - valor residual) / vida útil
Depreciación por año = (23970 - 975) / 7
Depreciación por año = 22995/7
Depreciación por año = $ 3285
Valor del vehículo después de 5 años:
23970 - (3285 * 5)
= $ 7545
Año _____ valor del vehículo
1 ________ 20685
2 ________ 17400
3 ________ 14115
4 ________ 10830
5 ________ 7545
6 ________ 4260
7 ________ 975
randma has 3 pounds of flour. She uses 1 pounds of flour to make rolls for
hanksgiving dinner. How much flour does Grandma have left over?
Answer:
2 pounds
Step-by-step explanation:
i feel like it's a trick question :/
please helpwill give brainlyest
Answer:
10/9
Step-by-step explanation:
1/3+7/9=10/9
Step-by-step explanation:
= 1 + 7
3 9
= 9+21
27
= 28
27 ans
Help ASAP Find the measure of 2.
21
69
111
Answer:
69°
Step-by-step explanation:
m∠1 + 111° = 180° ⇒ m∠1 = 69°
m∠1 = m∠2 = 69°
Can someone help me answer A-E please
Answer:
srry i cant help but i can talk all ima say is this is some advance math what grade u in im only in 7 and im struggling
Step-by-step explanation:
()-()
(っ◔◡◔)っ ♥ so yea srry i cant help tho ♥
help big points, need quickly pls pls pls
Answer:
use photomath and if that dont work use m a t h w a y
Step-by-step explanation:
A class consists of 10 male students and 30 female students. If one student is randomly selected from the class, what is the probability of selecting a male student?a. 10/30.
b. 10/40.
c. 1/10.
d. 1/40.
Answer:
a=10/30
Step-by-step explanation:
because you can simplify it to 2/15
What is the distance between points P(8, 5) and Q(2,-3) to the nearest tenth?
Jean paid $26 for a pair of pants and $19 for a blouse. How much more did she pay for the pants than for the blouse?
Answer:
$5 More
Step-by-step explanation:
$26 - $19 = $5
Answer:
She paid $7 more
Can someone answer number 1? It’s a picture on top
Which of the following equations has only one solution?
X( x - 1) = 9
x2 - 6x + 9 = 0
x2 = 9
Answer:
x^2 - 6x + 9
Step-by-step explanation:
x(x - 1) = 9
x^2 - x - 9 = 0
x = 3.54 or x = -2.54 (using quadratic formula)
x^2 - 6x + 9 = 0
(x-3)^2 = 0
x = 3
x^2 = 9
x = ±√3 (any positive number square rooted always have 2 answers)
I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
all of the points in the picture are on the same line.
Find the slope on the like exain or show your reasoning
write and equation for the line.
find the values for A and B. Explain your reasoning.
Answer/Step-by-step explanation:
✍️Slope of the line using two points, (2, 2) and (6, 10),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 [/tex]
✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).
Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.
2 = (2)(2) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Substitute m = 2 and b = -2 in y = mx + b.
✅The equation would be:
[tex] y = 2x + (-2) [/tex]
[tex] y = 2x - 2 [/tex]
✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.
[tex] 8 = 2(a) - 2 [/tex]
[tex] 8 = 2a - 2 [/tex]
Add 2 to both sides
[tex] 8 + 2 = 2a [/tex]
[tex] 10 = 2a [/tex]
Divide both sides by 2
[tex] \frac{10}{2} = a [/tex]
[tex] 5 = a [/tex]
a = 5
✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.
[tex] b = 2(4) - 2 [/tex]
[tex] b = 8 - 2 [/tex]
[tex] b = 6 [/tex]
Imena earned $261 last week. If she worked 18 hours and earned the same amount each hour, how much was she paid per hour?
The amount paid to Imena per hour will be $14.5
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 Imena earned $261 last week. She worked 18 hours and earned the same amount each hour.
Imena's earnings for an hour will be calculated as:-
Earning per hour = 261 / 18
Earning per hour = $14.5
Therefore, the amount paid to Imena per hour will be $14.5
To know more about an expression follow
https://brainly.com/question/24392720
#SPJ5
please help! due in less than 20 minutes!
Answer:
1. -8 feet= 8 feet
-2 feet= 2 feet
2. Jordin’s balance is a debt of MORE than 27$
3. Dinah had the greatest DECREASE in weight, with losing 1.4 pounds.
Hope this helps hun! Good Luck!
Fred walked 20 miles in 8 days. If he continues walking at this rate, how many miles will he walk in 4 weeks? Be sure to set up a proportion to help you solve.
Answer:
70
Step-by-step explanation:
First, to find the constant rate divided 20 miles by 8 days.
20 ÷ 8 = 2.5
Then, we know that in one week there are seven days so we multiply 2.5 x 7
2.5 x 7 = 17.5
Lastly, multiply 17.5 times 4
17.5 x 4 = 70
MARK BRAINLIEST IF IM RIGHT PLEASE HAPPY TO HELP. HAPPY EARLY THANKSGIVING!!!!!
I have $100 and I want to buy tshirt that cost $10 and sweatshirts that cost $20 how many tshirts and sweatshirts can I buy
Answer:
10 tshirts or 5 sweatshirts
Step-by-step explanation:
One t-shirt + one sweatshirt = $30.
We know that $100 ÷ $30 = 3 times with $10 left over.
This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.
Sidra is building a birdhouse. She drills a hole with a drill bit and tries to find a corresponding screw. The 1/4 inch screw is too big, and the 1/8 inch screw is too small. Which of the following could be the size of the drill bit Sidra used? 1/2 inch, 3/16 inch, 5/16 inch, 4/32 inch, or 8/32 inch
Look at the flag of Sweden below, then answer the question based on the appearance of the lines on the flag
help please help
Answer:
B. They are perpendicular to each other
Step-by-step explanation:
Perpendicular Lines are lines that intersect each other and make a (or multiple) right angles or 90°.
Answer:b
Step-by-step explanation:
Jacob answered 80% of the questions in a test correctly.
He answered 32 of the questions correctly.
Work out the total number of questions in the test.
I think the answer would be 40 questions I don't know if this is actually correct tho
Help plz I really need it
Answer:
here up I have upload photos!!!Plz help!!!Which notation shows that Pis a function of X?
A. Pox
B. P(x)
C. x.P
O D. x(P)
Answer:
the answer is that B .P(X)
can someone help me with this
Answer:
31°
Step-by-step explanation:
If ∠dab=55° and ∠cab=24° and ∠cab+∠dac=∠dab then all you need to do is subtract 55° and 24° to get 31°
In retailing there is a direct interaction with *
O producer
O
customer
O wholesaler
all of the above
2. What is the difference if 0.915 is taken from 2.31?
A. 1.395
B. 3.225
C. 2.395
D.4.126
I will put brainliest
The bowling club at your school had a car wash last week.
They washed 72 cars in 6.5 hours.
About how many cars did they wash per hour?
Answer:
11.077 cars / 11 cars (nearest whole number)
Step-by-step explanation:
6.5 hours → 72 cars
1 hour → 72/6.5 cars = 11.077 cars (5 s.f.)
I need help with this please
Answer: In math, especially when learning algebra and geometry, you are more likely to a lot of deductive reasoning. That is the process of using theorems, properties of numbers and other recognized rules and procedures to solve equations, to prove geometrical constructions, congruence of angles, etc. Deductive reasoning is the foundation of most of that kind of math, so it is more important when learning and applying the principles and theorems.
Inductive reasoning involves taking specific observations and known facts and using them to make predictions and generalizations. You are more likely to use inductive reasoning when working with statistics and probability.
So both are important at some point, but it may be more important to learn deductive reasoning at first.
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?
In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.
part A. According to the question, the unit rate is to be expressed in which units?
Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.
Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.
Part D
Answer:
a) Her rate is 1 mile per hour for Monday’s run
b) 0.447 m/second
c) In fraction 20467m/180000 seconds
Step-by-step explanation:
Speed = distance / time = 1 mile/ 1 hour
= 1 mile per hour
Her rate is 1 mile per hour for Monday’s run
part A. According to the question, the unit rate is to be expressed in miles per hour units.
Part B.
Speed = distance / time = 1 mile/ 1 hour
= 1 mile per hour
But 1 mile = 1609.34 m
and 1 hour = 3600 seconds
There fore
1 mile/ 1 hour = 1*1609.34/ 1*3600 seconds
= 0.447 m/second
Part C.
1 mile/ 1 hour =1609.34/ 3600 seconds
= 1609.34 * 100/100 * 1/3600 ( multiplying and dividing by 100 to remove the decimal)
= 160934/360000
= 20467m/180000 seconds
The first five multiples of 1 are 2,3,4,5,6,7,8, 9......
The LCM of 1 and 1 is 1
A fair 66-sided die is rolled 77 times and the resulting sequence of 77 numbers is recorded. A) How many different sequences are possible?B) How many different sequences consist entirely of even numbers? C) How many different sequences are possible if the first, third, and fourth numbers must be the same? D) How many sequences are there where every number is different? E) How many sequences are there where there are at least two numbers that are the same?
Answer: A. 279936 sequences.
B. 2187 sequence.
C. 7776 sequence.
D. 46656 sequence
E. 64 sequence.
Step-by-step explanation:
Given data:
A 6 sided fair die
No of time rolled = 7
Resulting sequence recorded = 7.
Solution.
A.) No of different possible sequence
= 6^7
= 279936 sequences.
B.) Sequence consisting of only even number
= there are 3 even numbers between 1 and 7 ( 2,4,6).
= 3^7
= 2187 sequence.
C.) possible sequences are when the first, third, and fourth numbers must be the same.
= 6* 6 ^n
where n = 4
= 6*6^4
= 7776 sequence.
D.) sequence when every number is different.
There are 6 sides of a die, so when every number is different it is.
= 6^6
= 46656 sequence
E.) sequence when atleast there are two numbers that are the same.
= 2^6
= 64 sequence.
During a review game, Mr. TooMuch's class correctly answered 68 questions on the first try. If there were 74 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal in the form of 0.ABC.
If necessary, round to the nearest thousandth.