To compute the limit
[tex]\displaystyle\lim_{x\to0}\frac{e^x-\sin x-1}{x^4+7x^3+8x^2}[/tex]
notice that when x = 0, both the numerator and denominator converge to 0. Apply l'Hopital's rule once gives
[tex]\displaystyle\lim_{x\to0}\frac{e^x-\cos x}{4x^3+21x^2+16x}[/tex]
but again, this returns the indeterminate form 0/0. Applying again gives
[tex]\displaystyle\lim_{x\to0}\frac{e^x+\sin x}{12x^2+42x+16}[/tex]
so that the numerator converges to e⁰ + sin(0) = 1, and the denominator converges to 12•0² + 42•0 + 16 = 16.
So the limit is 1/16.
please explain,
2 (4m-5) - (6m-11) =33
Answer:
m = 16
Step-by-step explanation:
2(4m - 5) - (6m - 11) = 33 (Given)
8m - 10 - 6m + 11 = 33 (Distribute)
2m + 1 = 33 (Combine like terms)
2m = 32 (Subtract 1 on both sides)
m = 16 (Divide 2 on both sides)
You can check by substituting your answer into the equation:
2(4(16) - 5) - (6(16) - 11) = 33
2(64 - 5) - (96 - 11) = 33
2(59) - (85) = 33
118 - 85 = 33
33 = 33
please answer the problem
Help me out please an thank you
Answer:
equivalent is the aswer
PLZ HALP. WILL GIVE BRAINIEST FOR CORRECT ANSWER WITH STEPS!!!!
Answer:
See below.
Step-by-step explanation:
1.
3x + 7 + 10x + 17 = 180 ( property of inside angles of 2 parallel lines)
13x + 24 = 180
13x = 180 - 24 = 156
c = 156/13
x = 12.
2.
As the triangle is a right triangle:
42.7 + N = 90
N = 90 - 42.7
= 47.3. degrees.
Answer:
for the first question it will be
Step-by-step explanation:
first make the equation from the numbers you see, (3x+7)+(10x+17)=180
the 180 comes from the lines that the equations are on both of the equations add up to 180 degrees,
then first add all like numbers [(3x+10x) + (7+17) = 180]= 13x+24=180
next subtract the non-variable number (forgot the term for it)
13x+24=180
-24 -24
13x=156
then divide the number in front of the variable
13x=156
13 13
x=12
then once you divide the answer is shown so you can put it in
Two points (-1,1) and (3,-2) are graphed on a
coordinate plane.
What is the shortest distance between the points?
A. 3
B. 4
C. 5
D. 7
Answer:
the answer is.......
Step-by-step explanation:
c , make me brainliest
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT
Answer:
The Y-intercept or number after the + or - sign is what you start with then you use rise/run rise=the y value and run = x value to use the constant
Step-by-step explanation:
A jug of milk holds 4 quarts. How many liters of milk does the jug hold? Round your answer to the nearest hundredth of a liter. 1 L ≈ 1.06 qt
Answer:
The answer is 3.785, but rounding it to the nearest hundredth is 3.68 or 3.79, depending on rather they wanted you to take the t and round up or just leave it off.
The jug hold the amount of 3.77 liters of milk.
To find out how many liters of milk the jug holds, we can use the conversion factor that 1 L is equal to 1.06 qt.
Given that the jug of milk holds 4 quarts, we can convert this to liters by multiplying it by the conversion factor:
4 quarts x (1 L / 1.06 qt)
= 3.77 liters
Thus, the jug holds 3.77 liters of milk.
Learn more about Unit Conversion here:
https://brainly.com/question/28600662
#SPJ6
3. Use the relationship between 21 and 25 to decide whether the top and middle shelves are
parallel.
4. Is the bottom shelf parallel to the top shelf? Explain.
5. Is the bottom shelf parallel to the middle shelf? Explain.
Answer:
Angle between 21 and 25 are co interior angle
Write 3/10 as a decimal number
Answer:0.3 there I said it
Step-by-step explanation:
Answer:
0.3
Step-by-step explanation:
Simplify 3(u-3)-5u Please and thankyou
Answer:
Step-by-step explanation:
Answer:
-2u-9
Step-by-step explanation:
Simplify
3(u-3)-5u
first, distribute
3u-9-5u
-2u-9
A right triangle has legs of length 7 and 3. What is the length of the hypotenuse?
Answer:
sqrt 58
Step-by-step explanation:
7^2+3^2=c^2
c=[tex]\sqrt{58}[/tex]
Answer:
sqrt(58)
Step-by-step explanation:
Use the Pythagorean Theorem.
a^2 + b^2 = c^2
3^2 + 7^2 = c^2
9 + 49 = c^2
58 = c^2
c = sqrt(58)
Answer: sqrt(58)
Who can answer this ??
Answer:
Step-by-step explanation:
B
theres no constant so its y intercept is (0,0)
then the x is negative so it goes down from left to right
hope this helps <3
725% work in an organisation 52% of employees or post graduate and the remaining are not post graduate find the number of employees were not post graduate
Answer: 348
Step-by-step explanation:
Given : Total employees work = 725
Proportion of employees are post graduate = 52%
Proportion of employees are not post graduate = 100%-52% = 48%
The number of employees were not post graduate = 48% of 725
= 0.48 x 725
= 348
Hence, the number of employees were not post graduate = 348
Marco decides to take out a $4,000 student loan during his first year in college. If he is charged 10% interest that is compounded annually, how much will the total loan amount equal in four years when he graduates?
Answer:
100+10 = 110
110/100=1.1
4000 X 1.1^4 = 5856.4
$5856.40
Answer: $5856.40
100+10 = 110
110/100=1.1
4000 X 1.1^4 = 5856.4
$5856.40
Step-by-step explanation:
110/100=1.1
4000 X 1.1^4 = 5856.4
Answer: $5856.40
a. Use the domain and range of each of the following relations to determine which is a function. {(3, -3), (9, - 6), (0, -9) b. (3. - 3), (9,- 6), (3 , -9) c. {(3. – 3), (9, - 6), (9,2). (0, -9) ] d. {3, 9, 0, - 4) Please select the best answer from the choices provided A B C D
Answer:
A.
Step-by-step explanation:
The domain is the x values, the range is the y values. The x values are not supposed to repeat and give different y values.
% of $900,000 = $225,000
Answer:
25%
Step-by-step explanation:
225,000/900,000 = 0.25
0.25*100 = 25%
3+4 + (-5) =
7+5=12-5=7
Answer:
This is incorrect, the correct answer is 2
Step-by-step explanation:
3+4+(-5)
7+(-5)7-52Answer:
2
Step-by-step explanation:
Pls help :((((((((((
Answer:
Top right
Step-by-step explanation:
Rise/run is useful in this situation also is this iready?!
Tom's father gave Tom $100 for lunch at school. After 10 days,
Tom had of the money left. On average, how much money
did Tom spend on lunch each day?
Answer:
He spent 10 dollars
Step-by-step explanation:
Because, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
And that's 10 days, so he spent 10 dollars for everyday. hope that helps!
Sorry if its wrong.
What is the missing polynomial?
?-(20-4x-5x^2) =20-7x^2
PLEASE HURRY!!! 20 points!!!
Answer:
c
Step-by-step explanation:
Luisa buys a plane ticket that has an original price of $240. She uses a coupon code to get a 30% discount off of the original price. She is then charged a 7% tax on the discounted price.
What is the final cost for Luisa's plane ticket?
Answer:
179.76$
Step-by-step explanation:
........
........
Answer:
$176.76
Step-by-step explanation:
Please I need help and I will give brainliest
Answer:
he can fill up about 16 more
Step-by-step explanation:
Please help 30 points
I graphed the seamos out already and the question are in a separate picture
Answer: On interval f(x) is increasing = [tex]( -\infty, -2)[/tex]
On interval f(x) is decreasing = [tex]( -\infty, -2)[/tex]
Step-by-step explanation:
The given function: [tex]f(x)=-(x+2)^2+4[/tex]
The graph of the function is attached below
In graph , function is increasing till point (-2,4) or x=-2 and then it is decreasing.
So f(x) is increasing in [tex]( -\infty, -2)[/tex] and decreasing in [tex](-2, \infty)[/tex]
So, On interval f(x) is increasing = [tex]( -\infty, -2)[/tex]
On interval f(x) is decreasing = [tex]( -\infty, -2)[/tex]
Can someone please help me I reallly need help
please help
Answer:
c = 38b
Step-by-step explanation:
b = number of boxes
c = total number of cookies.
It is given to you that there are 38 cookies per box. The given equation means that The total number of cookies can be found by multiplying the amount of cookies per box with the amount of boxes in all.
c = 38b is your answer.
~
The pair of points lies on the same line with the given slope. Find x.
(3, 4) (x, 19)
Answer:4 x 3 = 12 what times 19 = what
Step-by-step explanation:
You buy a book for 16.99 and pay 6% sales tax. What is the total price including sales tax?
Answer:
I really think it is
$18.94
Shoes and hats are on sale. The expression (s + 24.80) can be used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24.80. Write another expression that can be used to determine the discount.
pls i need help
Answer:
1/4+6.20
Step-by-step explanation:
1/4*5 1/4*24.80
1/4 (5+24.80)
1/4s + 6.20
hope it helps
You go to the outlet mall with a friend and buy a jacket for $49.00 and new Vans for $55.00. Sales tax in Texas is 8.25%. How much did you spend on these two items after tax? *
Answer:
Amount spent after sales tax = $112.58
Step-by-step explanation:
Given that:
Cost of jacket = $49.00
Cost of new Vans = $55.00
Total spent = 49.00 + 55.00 = $104.00
Sales tax = 8.25%
Amount of sales tax = [tex]\frac{8.25}{100}*104[/tex]
Amount of sales tax = $8.58
Total after sales tax = 104.00 + 8.58 = $112.58
Hence,
Amount spent after sales tax = $112.58
Which numbers are integers?Check all that apply.
15
-9
2/3
6 1/9
0
-3,128
4.76
Answer:
15, -9, 0, -3,128
Step-by-step explanation:
any number that isnt a fraction or decimal :)
Leah took her friends for a ride in her hot air balloon. The function f models the height of the hot air balloon about the ground ( in meters) as a function of time (in minutes) after takeoff.
Question:
Leah took her friends for a ride in her hot air balloon.
The function r(t) = 210 - 15t models the height of the hot air balloon about the ground (in meters) as a function of time (in minutes) after takeoff.
Explain what r(10) means in the context of the real-world scenario, and how to find its value.
Answer:
The balloon reaches a height of 160 meters, 10 minutes after take off.
Step-by-step explanation:
Given
[tex]r(t) = 210 - 5t[/tex]
Required
Explain r(10)
First, we calculate r(10)
Substitute 10 for t in [tex]r(t) = 210 - 5t[/tex]
[tex]r(10) = 210 - 5 * 10[/tex]
[tex]r(10) = 210 - 50[/tex]
[tex]r(10) = 160[/tex]
Hence: r(10) means that the balloon reaches a height of 160 meters, 10 minutes after take off.
Answer:
(60,0)
Step-by-step explanation:
Have a good day :)
