Answer:
4a plus or minus 1b
Step-by-step explanation:
find the limiting value using L hospital
Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
__
At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
_____
I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.
HELPPP!!!! Both questions are incredibly confusing to me !!!!!
Answer:
Step-by-step explanation:
I'm going to start with problem 3. You need to become familar with the kind of tricks teachers play on you.
Problem 3 depends on getting RS = RW.
RT = RT Reflexive property
<STR = <WTR A straight line having 1 rt angle actually has 2
ST = TU They are marked as equal
Triangle STR=Triangle WTR SAS
RS = RW Corresponding parts of = triangles are =
8x = 6x + 5 Subtract 6x from both sides
8x -6x = 6x - 6x + 5 Combine
2x = 5 Divide by 2
2x/2 = 5/2
x = 2.5
RU = 6*2.5 + 5
RU = 15 + 5
RU = 20
Now we can play with Question 4.
This question depends on the method used in three, although not entirely.
What you need to know is that W is on RT when you take a ruler and make RT longer. You can put W anywhere as long as it is on RT when it is made longer.
Directions
Make RT longer. Draw down and to your right.
Put a point anywhere on the length starting at T. Label this new point as W. There's your W. It goes anywhere on the part of RT made longer.
Draw UW.
Label UW as 8
Now draw another line from S to W. Guess what? By the methods used in question 3, it's also 8. So SW = 8
TW = TW Reflexive
<UTW = STW Same reason as in 3. UtW is a right angle
UT = ST Given (the marking tells you so.
ΔUTW = ΔSTW SAS
UW = SW Corresponding parts of = triangles are =
SW = 8
Does anyone know this answer??
A line that includes the point (-1,5) has a slope of 4. What is its equation in slope-intercept
form?
Answer:
y=4x+9
Step-by-step explanation:
The slope intercept form is [tex]y=mx+b[/tex]
So m=4 and we plug it into the equation [tex]y=4x+b[/tex]
Since there are x point is -1 and y point is 5 we plug those in replacing the corresponding variables [tex]5=4(-1)+b[/tex]
So the equation becomes [tex]5=4+b[/tex]
We add 4 to both sides [tex]5=4+b\\+4=+4[/tex] so 9 equals b
Then we rewrite the whole equation as [tex]y=4x+9[/tex]
Find three consecutive whole numbers such that the sum of the squares of the numbers is equal to 434
Answer:
[tex]\left \{ {{x^2+y^2+z^2=434} \atop {x-y-z=0}} \right.[/tex]
Step-by-step explanation:
if 15 men can do a work in 12 days, how many men will do the same work in 6 days?
Answer:
7.5?
Step-by-step explanation:
y=1/3-1/2x what is the slope and y-intercept
Answer:
slope is -1/2 and y- intercept is 1/3
Step-by-step explanation:
use y=mx+b
m=slope
b= y-intercept
rearrange your equation
y=1/3-1/2x
y=-1/2x+1/3
La respuesta a un problema de división se llama
Answer:
Cociente: Español
Step-by-step explanation:
Quotient: English
Find the slope of the line y=5x+4
=
5
x
+
4
Answer:
5 is the slope of the line
Answer:
slope = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 4 ← is in slope- intercept form
with slope m = 5
PLEASE HELP!!!
what is the value of the expression 2/5m−1/3 when m = 3?
Answer:
13/15
Step-by-step explanation:
I took the quiz and solved it out. I would give further explaination but it is kinda hard to do that in text form. Have a nice day!
The value of the expression if m = 3 is 13/15
Given the expression as shown below:
2/5 m - 1/3If the value of m = 3, hence the expression will become;
2/5(3) - 1/3
6/5 - 1/3
Find the LCM
6/5 - 1/3 = 3(6)-5/15\
6/5 - 1/3 = 18-5/15
6/5 - 1/3 = 13/15
Hence the value of the expression if m = 3 is 13/15
Learn more on equations here: https://brainly.com/question/13763238
khushi bougt a computer for rs100000 and paid a markup of rs25000 for 2 years what markup did she paid
Answer:
eeeeee
Step-by-step explanation:
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Is this graph misleading?
People of different ages were asked the question "Do
you listen to audiobooks?" The bar graph below
displays the percentage of "yes" responses for
different age groups.
O No, because the bars are all the same width.
O No, because the scale starts at 0.
O Yes, because the bars are not the same height.
O Yes, because the scale does not start at 0.
Audiobook Listeners
0.50
0.40
0.30
Relative Frequency
0.20
0.10
13-17
18-25
36-45
Over 45
26-35
Age
Answer:
D. Yes, because the scale does not start at 0.
Step-by-step explanation:
During a vote, 2,400 voters were divided into 4 large groups and each large group was divided into 6 small groups. How many voters were there in each small group?
Will give brainliest! Is these answers correct?
Answer:
Yep, they are all correct
Both the answers are correct
For which values is the graph decreasing? Check all that apply.
between x = –3 and x = –1.5
between x = –1.5 and x = 0
between x = 0 and x = 1.5
between x = 1.5 and x = 3
Answer:
c
i think
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
Find the first six nonzero multiples of 9.
Answer: 9,18,27,36,45, and 54
Step-by-step explanation: the first 6 multiples of 9 don't have zeros in them.
pls help asap MIDSEGMENTS
Answer:
Angle 2 = 64°
Step-by-step explanation:
Angle 2 = 180°-116° (int angles, 12//34)
=64°
Help finding surface area
Answer:
471.23 km²
Step-by-step explanation:
This is a cylinder.
Here's the formula to the the surface area of a cylinder.
[tex]Surface\:\:Area\:\:\:= 2\pi r(r+h)[/tex]
They have given the the diameter of the circle .
There fore we have to find the radius .
d = 2 r
10 = 2 r
5 km = r
Let's find the Surface area now.
[tex]2\pi r(r+h)[/tex]
[tex]2 *\pi *5(5+10)[/tex]
[tex]10\pi *15[/tex]
[tex]150 \pi[/tex]
471.23 km²
Hope this helps you.
Let me know if you have any other questions :-)
what number is one less than a cube number 20 22 24 26
Answer:
18
Step-by-step explanation:
:)
i need help with evaluating functions g(n)=3n - 4 ; find g(9)
Please help ASAP!
Write the ratio 2/7 to 8 as a fraction in simplest form. The ratio in simplest form is _____.
[tex]\dfrac{\tfrac 27}8 = \dfrac 2{7 \times 8} = \dfrac 2{56} = \dfrac 1{28} = 1:28[/tex]
Find the volume of the figure. Round your final answer to the nearest hundredth if necessary.
Answer:
Look at the photo I have sentthe question next to the graph!
Answer:
Yes there is a proportionality between the amount of money she arns and the hours she works. For every 2 hours she works she earns 30 dollars. Which means she makes 15 dollars an hour.
Step-by-step explanation:
What times 5/8 equals 1
Answer:
1.6
Step-by-step explanation:
5/8 = .625
1/.625 = 1.6
.625* 1.6 = 1
Answer:
8/5.
Step-by-step explanation:
That is the inverse of 5/6:- 8/5.
been working on this for a while and can’t figure it out, can someone help?
Answer:
x = 24 4/5
Step-by-step explanation:
Simply reverse this - add 20 to 4, and 3/5 to 1/5, and you have X.
What is the answer to 6m+2.3=-9.7
Answer:
m = [tex]\frac{37}{30}[/tex] or 1.23
Step-by-step explanation:
6m + 2.3 = 9.7
6m = 9.7 - 2.3
6m = 7.4
m = [tex]\frac{37}{30}[/tex] or 1.23
If Martin buys a coke for $1.85 on a credit card that charges 22% interest compounded monthly what will the coke actually cost him if he does not pay the credit card off in five years?
Using compound interest, it is found that the coke will actually cost him $5.50.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The coke is bought for $1.85, hence [tex]P = 1.85[/tex].The interest rate is of 22%, hence [tex]r = 0.22[/tex].It is compounded monthly, hence [tex]n = 12[/tex].Five years, hence [tex]n = 5[/tex]Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(5) = 1.85\left(1 + \frac{0.22}{12}\right)^{12(5)}[/tex]
[tex]A(5) = 5.50[/tex]
The coke will actually cost him $5.50.
A similar problem is given at https://brainly.com/question/14239300
Given that f ( x ) = 8 x + 5 f ( x ) = 8 x + 5 and g ( x ) = 3 − x 2 g ( x ) = 3 - x 2 , calculate f(g(0))
Answer:
29
Step-by-step explanation:
g(0)=3-2(0)
= 3
f(3) = 8(3)+5
f(3) = 29
Find the exact value of sin-1 the quantity square root of two divided by two. (2 points)
three pi divided by four
pi divided by three
two pi divided by three
pi divided by four
Answer:
[tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
[tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{2} }{2}[/tex] ) = [tex]\frac{\pi }{4}[/tex]
Arlington ISD needs to construct a handicap ramp for one of its new buildings under construction. One point on the construction blueprint for the ramp can be identified by the ordered pair (d, 4d), and another point on the ramp is identified by the ordered pair (3d, 5d). If d is not equal to zero, what will the slope of the handicap ramp be after construction is completed?
The slope of the handicap ramp is 1/2
The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).
m = (y₂ - y₁)/(x₂ - x₁)
Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).
Substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁)
m = (5d - 4d)/(3d - d)
m = d/2d
m = 1/2
So, the slope of the handicap ramp is 1/2
Learn more about slope of a line here:
https://brainly.com/question/1617757