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.
Plssssssssssssssssssssssssss
Answer:
9
Step-by-step explanation:
1/9(9^2)
1/9(81)
9
60% of Y is 75. What is Y?
What is the answer ???????????????
Answer:
(2, - 1 )
Step-by-step explanation:
Given the 2 equations
y = 4x - 9 → (1)
y = x - 3 → (2)
Substitute y = 4x - 9 into (2)
4x - 9 = x - 3 ( subtract x from both sides )
3x - 9 = - 3 ( add 9 to both sides )
3x = 6 ( divide both sides by 3 )
x = 2
Substitute x = 2 into either of the 2 equations for y
Substituting into (2)
y = 2 - 3 = - 1
solution is (2, - 1 )
covert 12/5 into a mixed number in simplest form
Answer:
2 2/5
Step-by-step explanation:
Which graph shows the system 1 x++y=2 ? [x2 + y2 =9
Answer:
The graph of the system in the attached figure
Step-by-step explanation:
we have
isolate the variable y
----> equation A
This is the equation of a vertical parabola open down (because the leading coefficient is negative)
The vertex represent a maximum
the vertex is the point (0,2)
---> equation B
This is the equation of a circle centered at (0,0) with radius 3 units
The solution of the system of equations is the intersection points both graphs
using a graphing tool
The solutions are the points (-2.05,-2.19) and (2.05,-2.19)
see the attached figure
Answer:
It's C!
Step-by-step explanation:
Just got it right :>
Ray Barbee, a radio announcer, is single, earns $300.74 weekly, and claims 2 allowances.
The amount withheld from Ray's weekly earning as Federal income tax after claiming two allowances and being single is $12.
The solution to the problem only requires checking the weekly payroll period for singles and locating the information given in other to obtain the amount to be witheld. Ray's weekly earning falls in the $300 - $310 income category, Under the column where allowance is 2, the amount withheld based on these conditions is $12.Therefore, the Federal income tax withheld from Ray's weekly earning is $12.
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Please help! Will mark brainliest!
Answer:
2
Step-by-step explanation:
what is the answer
4⁴×4-⁶=?
Answer:
1/16 is the answer
Step-by-step explanation:
Law of indices
PLEASE HELPPPPP
M=2
N=16
P=1/3
Answer:
4
Step-by-step explanation:
Based on the information you have given me, p = 1/3.
All we need to do is substitute that value into the expression:
12p = 12(1/3) = 4
Can someone help me with these?
Answer:
A. 4,7,3,5,6,7,8,5,8
B. 5,4,3,8,4,6,3,8,9
Step-by-step explanation:
you're just dividing
Please help me with the following math question:
Amelia goes to Macy’s and buys a pair of shoes. The shoes are $115.95 on sale for 30% off. What is the total she will pay with 6% sales tax included?
Answer:
$86.03
Step-by-step explanation:
30% off = 70% of total price. Add .06 to 1 for 6% sales tax.
($115.95*(.70))*1.06
= $86.03
Solve for b .
-9 b = 27
please will mark brainliest whoever gets it right
Answer:
b=-3
Step-by-step explanation:
hope this helps!
A customer wants to purchase a sweater from a store.
The original price of the sweater is $40.
The sweater is on sale for 20% off the original price.
A sales tax of 5% is applied after the discount.
What was the final price of the sweater?
A
$34.00
B
$30.00
C
$30.40
D
$33.60
will give brainliest! hurry please!! im timed!
Answer:
a
Step-by-step explanation:
Answer:
Step-by-step explanation:
C
40*.20=8
40-8=32
32*.05=1.60
32-1.60=30.4
(Dont answer if you dont want alot of notifs)
If Logx (1 / 8) = - 3 / 2, then x is equal to
A. - 4
B. 4
C. 1 / 4
D. 10
Answer:
According to my problem solving, the answer should be B. 4
Step-by-step explanation: it might be wrong but worth a shot
HELLLPP PLLS
The Graph shows the total?!
1 3/4 x 1 1/3 give your answer as a mixed number
Answer:
2 1/3
Step-by-step explanation:
1 3/4 is equivalent to 7/4
1 1/3 is equivalent to 4/3
7/ 4 x 4/3
reduce with greatest common factor so the two 4 are out (show a line crossing out the top and bottom 4 )
now you're left with 7 x 1/3 = 7/3
7/3 = 2 1/3
The product of two given mixed fractions is [tex]2\frac{1}{3}[/tex].
The given mixed fractions are [tex]1\frac{3}{4}[/tex] and [tex]1\frac{1}{3}[/tex].
What is the product of two fractions?The product of two fractions is the product of the numerators and the product of the denominators.
Product of two fractions = Product of their denominators / Product of their numerators.
Here, the mixed fraction [tex]1\frac{3}{4}[/tex] can be written as [tex]\frac{7}{4}[/tex] and the mixed fraction [tex]1\frac{1}{3}[/tex] can be written as [tex]\frac{4}{3}[/tex].
Now, 7/4 × 4/3
= 7/3
= [tex]2\frac{1}{3}[/tex]
Therefore, the product of two given mixed fractions is [tex]2\frac{1}{3}[/tex].
To learn more about the product of two fractions visit:
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Explain what opposing position means.
Answer:
to fight against, counter, or resist strongly. to be hostile or antagonistic to; be against. to place or set in opposition; contrast or counterbalance. to place opposite or facing. to be or act in opposition
Answer:
Opposition (noun) The apparent relative of 2 celestial bodies when one is at angle of 180 degrees from the other as seen from the earth
Which side lengths below DO NOT produce a right triangle?
5,12,13
3,6,9
13,84,85
9,40,41
Which of these brands have the lowest cost per unit? PLEASE HELP MY FIRST MATH GRADE OF THE QUARTER IS ON THE LINE!
Answer:
you need a dotted point starting at 3 and going to to the right
Step-by-step explanation:
the dotted point means x < , x > and since it is greater you always go to the right
12foot 11incher+11foot 3 incher
Answer:
24feet 1 inches
Step-by-step explanation:
Here is a rectangle ABCD.
A
B
20 cm
D
30 cm
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
answer
15.5%
Step-by-step explanation:
length = 30
30+10%=33
breadth=20
20+5%=21
area of rectangle = length × breadth
600² centimeters = 30 × 20
693² centimeters = 33 × 21
Increase = 15.5%
a motor bike travels 240 km in 4 hours. How long will it take to travel 450 km
Answer:
7 hours and 30 minutes
Step-by-step explanation:
[tex]240 \div 4 = 60km \: per \: h[/tex]
[tex]450 \div 60 = 7.5 = 7h \: 30min[/tex]
It will take motor bike 7.5 hours to cover 450 Km of distance.
What is Speed in Kinematics?Speed of a body is defined as the distance travelled by it per unit time taken to cover the distance.
Mathematically-
S = Δd/Δt or S = {d(2) - d(1)}/{t(2) - t(1)}
It is a scalar quantity as it only has magnitude and no direction.
Given is a motor bike travels 240 km ins 4 hours.
We can calculate the speed of the bike as -
s = 240/4 = 60 Km/hr
Then, the time taken to cover 450 Km will be -
t = 450/60
t = 7.5 hours
Therefore, it will take motor bike 7.5 hours to cover 450 Km of distance.
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Simon has a farm and has to buy a certain amount of feed for each animal. He buys feed once a month and counts all of his animals to see how much feed he needs to buy. Chicken feed is about $0.5 per chicken, each horse eats about $5 worth of feed, and goats eat about $4 worth of feed. What equation should he use to find how much he should spend on feed?
A. 0.50 +5h + 4g = total spent on feed
B. 9.5a = total spent on feed
C. 0.50 +5h + 40 = 100
D. 0.59 +49 +5g = total spent on feed
Answer:
A
Step-by-step explanation:
youre looking for the total spent, and then each variable from the word equation
Answer:It is B because you add 5+4 and you get 9 and than you have 9 you have 5 cences
so it is $9.05
I have lakes with no water, mountains with no stone and cities with no buildings. What am I?
Answer:
map
Step-by-step explanation:
Solve this system of equations.
3x + 4y = 36
y=-2 +8
Answer:
( X, y [tex] = (x.y) ( - \frac{4?}{?3} = 10)[/tex]Standard form [tex]3 \times + 4y = 36 \\ y = 10[/tex]A.45
B.25
C.118
D.93
Answer: A
Step-by-step explanation:
By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two opposite interior angles.
(2x+3)+25=3x-17 [combine like terms]
2x+28=3x-17 [subtract both sides by 2x]
28=x-17 [add both sides by 17]
x=45
Now, we know that the answer is A.
Plz help me I need tu turn this is by midnight!!
Answer:
The last answer.
Step-by-step explanation:
It looks to be the correct answer because for the one above you can't simplify 27 by 5.
The estimated world population in the year 1650 was 550,000,000. The estimated
world population in 1750 was 725,000,000. By how many people did the world's
population increase between 1650 and 1750?
Answer:
175,000,000
Step-by-step explanation:
you subtract 550,000,000 from 725,000,000
Below is a table of values representing a function/linear equation. What is the slope? Explain how you got it.
Answer:
-3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
8-14/-2-(-4)
-6/2
-3
Best of Luck!
Marissa got 60% of the questions right on her quiz out of 40 total questions.How many questions did she get worng