The limit of the given function is 1/2
Limit of a functionGiven the following limit of a function
lim x→0 √(x²+4)-2/x²
Substitute the limit to have:
√(0²+4)-2/0²
√4 - 2/0
2-2/0
0/0 (ind)
Apply the L'hospital rule to have;
lim x→0 d/dx√(x²+4)-2/(d/dx)x²
lim x→0 (x²+4)^-1/2 * 2x/2x
lim x→0 (x²+4x)^-1/2
Substitute
(4)^-1/2
1/2
Hence the limit of the given function is 1/2
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Write $\frac 15+\left(\frac 15\right)^2+\left(\frac 15\right)^3+\left(\frac 15\right)^4$ as a decimal
Answer:
0.2496
Step-by-step explanation:
what you could do is make the all the 1/5 into 2/10's.
then you could multiply all of them (2/10) squared (2/10) cubed and (2/10)^4
now you would have 2/10 4/100 8/1000 16/10000
now you can change it into decimals and add
0.2 +0.04+0.008+0.0016
now all you have to do is add when you do you get 0.2496
there are many ways you could do this problem but this is the most efficient becuause I used another way but it was not helpfull.
Answer: .2496
Aops Question
Step-by-step explanation:
This problem becomes easier if we write $\dfrac{1}{5}$ as $\dfrac{2}{10}$, so that all the denominators in our sum are powers of 10. Then
\begin{align*}
\frac15 + \left(\frac15\right)^2 + \left(\frac15\right)^3 + \left(\frac15\right)^4
&= \frac2{10} + \left(\frac2{10}\right)^2 + \left(\frac2{10}\right)^3 + \left(\frac2{10}\right)^4 \\
&= \frac2{10} + \frac4{100} + \frac8{1000} + \frac{16}{10{,}000} \\
&= 0.2 + 0.04 + 0.008 + 0.0016 \\
&= \boxed{0.2496}.
\end{align*}
11. 4x - 6x + 12 = 18
Answer:
11. 4x - 6x + 12 = 18
11. 4x - 6x =18-12=6
11. 4x - 6x =6
5.4x=6
x=6/5.4
x=1.111
What is the solution to this system of equations?
PLS HELP FOR A GRADE
100 POINTS IF CORRECT
Answer:
C
Step-by-step explanation:
(-2,6) is the cordnate where the two cross
more proof:
3x + 12 = -2x + 2
3x + 2x = -12 + 2
5x = -10
x = -10/5
x = -2
y = 3x + 12
y = 3(-2) + 12
y = -6 + 12
y = 6
30 points!!
Solve for x: the quantity x plus fifty all over two equals thirteen times x
x = 2
x = 5
x = 9
x = 13
Answer:
A: x = 2
Step-by-step explanation: When plugging in 2 for x, the equation is 26 = 13(2). Process: 2 +50 = 52/2 = 26 and 2 x 13 = 26.
Answer:
Its the first one (x = 2)
Step-by-step explanation:
doris got in trouble because____.
A. she had an unexpected event and no savings
B. she had too much debt
C. her boss fired her
D. she did not work hard enough
Answer:
A. she had an unexpected event and no savings
If P(x)=x²+x+7 and Q(x)= 3x² -1, find Q( – 10).
Answer:
Q(- 10) = 299
Step-by-step explanation:
Q(- 10) = 3.(- 10)² - 1
= 3 . 100 - 1
= 300 - 1
= 299
=> Q(- 10) = 299
7th grade what is the tone, or mood in the beginning of the play? "A christmas carol"
A- Violent and frighting
B- Dark and gloomy
C- Silly and sentimental
D- Loving and festive
Answer:
D
Step-by-step explanation:
Answer:
It's B, Dark and gloomy
Have a great rest of your day!
Stay stay and healthy!
Happy holiday seasons!
May I please have brainliest?
translate Six-sevenths of y is 60
The equation for the given phrase "Six-sevenths of y is 60" is (6/7) × y = 60 and its solution for y is 70.
According to the given question.
We have a phrase " Six-sevenths of y is 60".
The equation for the above phrase "Six-sevenths of y is 60" is given by
(6/7) × y = 60
Now we have a linear equation in one varibale.
Thereofore, the solution of the equation (6/7) × y = 60 for y is given by
(6/7) × y = 60
⇒ 6y = 60 × 7 (multiplying both the sides by 7)
⇒ 6y = 420
⇒ y = 70
Hence, the equation for the given phrase "Six-sevenths of y is 60" is
(6/7) × y = 60 and its solution for y is 70.
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Triangle ABC is shown the measure of the interior angle at point A is 40 and the exterior angle point C is 102
Answer:
∠C (Interior) =78°
∠B (Interior) = 62°
Step-by-step explanation:
Given:
∠A (Interior) = 40°
∠C (exterior) = 102°
Computation:
∠C (Interior) = 180° - 102°
∠C (Interior) =78°
∠B (Interior) = 180° - ∠A (Interior) - ∠C (Interior)
∠B (Interior) = 180° - 78° - 40°
∠B (Interior) = 180° - 118°
∠B (Interior) = 62°
Explain why the formula for sample variance is different from the formula for population variance. Why is it inappropriate to use the formula for population variance in calculating the variance of a sample
Step-by-step explanation:
The difference in the formula of population and sample variance can be explained as:
Population variance is said to be the value of variance that is calculated from population data, whereas sample variance refers to the variance calculated from sample data. This is the reason why value of denominator in the formula for variance in case of sample data is ‘n-1’, while it is ‘n’ for population data. Hence, the result of both variance and standard deviation derived from sample data is larger than those found out from population data.
What is 77/20 simplified
Tell whether (12, 43) is a solution of y = 3x + 7.
yes
no
Answer:
yes
Step-by-step explanation:
Find the length x.
3
6
3.5
Answer:
X = 7
Step-by-step explanation:
If you look you can see that the middle line has 6 and 3.
3 is half of 6 right?
So this means that 3.5 is half of whatever x is.
Just multiply 3.5 by 2 to find x.
(3.5)(2) = x
x = 7
Therefore, x is equal to 7.
I hope this helps!!
- Kay :)
Which line is perpendicular to the line y=-1/3x-2 and passes through the point (1, 4)?
Answer:
it's answer choice 3
y=3x+1
this is correct on edmentum
HURRY HELP
Which of the following is equal to the fraction below?
ОА 5
5
O B.
O C. 8.
)
O D.
Answer:
A
Step-by-step explanation:
Answer:
A is equal to the fraction
Please help
Find KL in the image below.
Answer:
KL = 8
Step-by-step explanation:
Based on the midsegment theorem, the length of midsegment KL = ½ of the length of the third segment FH.
Thus:
KL = ½(FH)
FH = 16
Plug in the value into the equation
KL = ½(16)
KL = 8
Perform the indicated operation and simplify the result. Leave your answer in factored form.
[tex]\frac{5x+20}{8x^{5} }[/tex]·[tex]\frac{x}{x^{2} -16}[/tex]
Answer:
First, you have to factorize the expressions :
[tex] \frac{5x + 20}{8 {x}^{5} } \times \frac{x}{ {x}^{2} - 16} [/tex]
[tex] = \frac{5(x + 4)}{8 {x}^{5} } \times \frac{x}{(x + 4)(x - 4)} [/tex]
Second, you have to cross out the similar expressions :
[tex] = \frac{5}{8 {x}^{5} } \times \frac{x}{(x - 4)} [/tex]
Third, you have to multiply both fractions :
[tex] = \frac{5x}{8 {x}^{5}(x - 4) } [/tex]
Lastly, you have to simplify :
[tex] = \frac{5}{8 {x}^{4}(x - 4) } [/tex]
Breanna thought of a number, added 6 to it, multiplied it by 6, subtracted 6 from her answer, and then divided it by 6. She got a final number of 10. What was her starting number?
Answer:5
Step-by-step explanation:
If you look at the question in reverse you can backtrack your way through. Take 10 and instead of dividing, multiply it by 10, which is 60, add 6 instead of subtracting, which is 66, divide by 6 instead of multiplying, which is 11 and finally subtract 6 instead of adding, which is 5. Use five and try the question over to make sure you calculated correct.
Which of the following correctly shows the distributive property?
A
4(x + 5) = 5(x + 4)
B
4(x + 5) = (4)(x) + 5
C
4(x + 5) = x + (4)(5)
D
4(x + 5) = (4)(x) + (4)(5)
give answers please!
Answer:
9.) -3
10.) -4
11.) -5
12.) -2
Step-by-step explanation:
1.) You need to plug in a number from the table into x on the equation
2.) Once you plug in the number divide that number by 3
3.) Once you divide it subtract by 3 from the number you got
4.) Then you get the solution and plug it into the table
Robyn likes to read novels that have fewer than 400 pages. Which inequality represents the number of pages, p, in the novels she likes to read?
Answer:
p < 400
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Is this relations a function? Justify your answer.
Answer:
A
Step-by-step explanation:
There need to be more matching points, but there aren't, therefore, its A
Answer:
lets gooo
Step-by-step explanation:
PLSSS CAN SOMEONE HELP MEE, my friend can't figure this out , and the assignment is already overdue , pls someone help :(
this is the first part of it , it also has a B part
Answer:
um 1630 divided by 96 and divided by 3equals the answer ? yes yes i think
Step-by-step explanation:
What is the equation of the line?
what is 1.3h + 3.7 when h = 5
Answer:
The answer is 10.20
Hope this helps!! :)
Step-by-step explanation:
1.3 * h(5)= 6.5
6.5 + 3.7= 10.20
Answer:
10.2
Step-by-step explanation:
1.3h + 3.7
1.3 x 5 = 6.5
6.5 + 3.7 = 10.2
noah receives a $5 discount each month on his cell phone bill because he signed up for a auto pay from his bank account over the last 8 months noah has paid a total of 280 for his phone bill what wold noah be charged for his phone bill each month if he soped his auto pay
Which one is it guys?
Answer:
b:not similar
Step-by-step explanation:
PLS HELP I’ve been trying to do this but I just can’t do it
Answer:
the answer is 8:1 so 8/1
Step-by-step explanation:
Answer:
26/3
Step-by-step explanation:
6 cups flour
3/4 cup of sugar
ratio of flour to sugar is
(6 flower : 3/4 sugar) multiply both sides by 4
26 flower : 3 sugar
so the ratio is 26/3
please help me to solve this question
Answer:
2/5
Step-by-step explanation:
Because when you subtract you do you get it.
*** WHITE Given m|n, find the value of x. (2x-3) (6X+17)
Answer:I dont belive i know
Step-by-step explanation:
Step-by-step explanation:
can i know the equation is 2x 6x is the x