lim(x-0) (sinx-1/x-1)

Answers

Answer 1

lim ( sinx-1)/(x-1)

x=>0

apply x=0

(sin(0)-1)/(0-1)

(0-1)/(-1)

=1


Related Questions

What are the first five terms of the arithmetic progression with the first term 8 and common difference 7 , then find the 17th?.

Answers

Step-by-step explanation:

a1 = 8

a2 = 8 + 7 = 15

a3 = 15 + 7 = 22

a4 = 22 + 7 = 29

a5 = 29 + 7 = 36

an = an-1 + 7 = a1 + 7×(n-1)

a17 = 8 + 7×16 = 8 + 112 = 120

How many solutions does the system of equation have?

2x + 3y = 9 and y = 2/3x - 2

A.
One solution

B.
Two solutions

C.
Infinitely many solutions

D.
No solutions

Answers

Answer:

A. One solution

Step-by-step explanation:

y = 2/3x - 2 has slope of 2/3

2x + 3y = 9

       3y = -2x + 9

         y = (-2/3)x + 3 has slope of -2/3

lines with different slopes have only ONE intersection

Need help with question please!​

Answers

Answer:

You got this just keep trying i know you can do it even if it is really hard

Step-by-step explanation:

If 18 is subtracted from twice the square of an integer, the result is equal to nine times the integer. What is the value of the integer?

Answers

Answer:

6 or -1.5

Step-by-step explanation:

We can let this integer be x.

Therefore, according to the question we have:

[tex]2x^2-18=9x[/tex]

Subtracting 9x, we have a quadratic:

[tex]2x^2-9x-18=0[/tex]

Plugging into the quadratic equation:

[tex]\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},[/tex]

the square root of 81+144 is 15, so the answer is either 6 or -1.5

Jason stands in the corner of a very large field. He walks, on a bearing of 030°,
a distance of d metres. Jason then changes direction and walks twice as far on a new
bearing of 120°. At the end of the walk Jason calculates both the distance he must
walk and the bearing required to return to his original position. Given that the total
distance walked is 120 metres, what answers will Jason get if he is correct?

Answers

Answer:

Step-by-step explanation:

d + 2d = 120

3d = 120

d = 40 m

east distance was 40cos30 + 80cos120 = -5.35898 m

north distance was 40sin30 + 80sin120 = 89.282032

as 30° and 120° bearings are 90° apart, Jason needs to walk

D = √(d² + (2d)²) = d√5 or 40√5 meters or about 89.44 m to return to his original position.

we could also use √(-5.35898² + 89.282032²) = 89.44 m

direction will be

θ = arctan -89.28/5.359 = -86.565° or a bearing of 273.4°

what is the value of 7​

Answers

7 can be written as :-

7 + 0 = 7

7 - 0 = 7

7 × 1 = 7

7 ÷ 1 = 7

7¹ = 7

_____

Hope it helps ⚜

If 90° < θ < 180° and cscθ = 3, then cotθ = _____.

Answers

[tex]\text{Given that,}\\\\\csc \theta = 3\\\\\implies \csc^2 \theta = 9\\\\\implies 1+ \cot^2 \theta = 9\\\\\implies \cot^2 \theta = 8\\\\\implies \cot \theta = \pm \sqrt 8 = \pm 2\sqrt 2\\\\\text{Since,}~90^{\circ}< \theta < 180^{\circ},\\\\\cot \theta = -2\sqrt 2[/tex]

can retainers still fit w a small gap?

Answers

Answer:

Retainers have been designed to be used as an end of treatment to help retain your teeth in their new position. ... These are removable and fixed retainers. The reason why retainers can't be used to close a gap is because they are fitted at the end of treatment and are made to fit the straight teeth mould.

hope it help u

itz by Riddhi

Answer:

yes

Step-by-step explanation:

100 points brainlyest if right

Answers

Answer:

I don't know the question

Step-by-step explanation:

I would love to help tho

Answer:

you never put the question up for us to answer it

Step-by-step explanation:

A machinist must cut 17 strips of metal that are each 2 ft 6 2/8 in long. What is the total length of metal needed in inches? Write as a proper or mixed fraction.​

Answers

Answer:

Step-by-step explanation:

2/8 inch = ¼ inch

1 ft = 12 inch

17(2(12) + 6¼) = 514¼ inches

provided a shear with zero kerf is used.

givien the function 6x+6y=5 rearrange the equation so that x is the independant varible

Answers

Answer:

so 6x = -6y + 5

divide by 6

x = 5

Step-by-step explanation:

How do I find the degree measure?​

Answers

Answer:

The Degree Measure of the Angle = Radian x (180/)

If 20 students have only airpods,
10 students only have beats, and 30
students have beats in total how
many students have both beats and
airpods?

Answers

Answer:

There should be 20 students that have both Beats and AirPods.

Step-by-step explanation:

There are 50 students in total.

20 students have only AirPods and 30 students have Beats. Out of the 30 who own Beats, there are 10 students that have ONLY Beats.

30 - 10 = 20.

It's a tricky question, but this is the correct answer!

Hope This Helps!

1/3(6-9j)

PLEASE HELP!!!

Answers

Answer:

2-3j

Step-by-step explanation:

Distribute 1/3 to the rest of the equation and you'll get 2-3j

I hope this helps!

1/3(6-9j)

1/3x6/1 = 6/3

1/3x-9j=-9j/3

6/3-9j/3

what is a fraction between 2/3 and 4/7

Answers

Answer:

3/5

Step-by-step explanation:

it is between 2/3 and 4/7

I'll put this as random but you can answer it...
ill give yall 10 points if yall do it!

Answers

Answer: 4 gallons = 15 liters, 8 liters = 2 gallons, 12.5 liters = 3 gallons, and 6 gallons = 23 liters.

Answer:

yea no

Step-by-step explanation:

i really don't know sorry tho

Consider this diagram of quadrilateral ABCD, which is not drawn to scale.

Answers

Answers: Choice B and Choice D.

[tex]\angle ABE \cong \angle CDE[/tex]  and [tex]\overline{AE} \cong \overline{CE}[/tex]

=====================================================

Explanation:

The tickmarks tell us which segments are congruent to one another. The segments with single tickmarks show that AE and CE are the same length. So this is why [tex]\overline{AE} \cong \overline{CE}[/tex]

---------------

The two triangles AEB and CED can be proven congruent through the use of the SAS theorem. From there, use CPCTC to conclude that the corresponding angles ABE and CDE are the same measure i.e. [tex]\angle ABE \cong \angle CDE[/tex]. They are alternate interior angles which helps lead to side AB being parallel to CD.

Answer:

B & D  or <ABE=<CDE, AE=CE

Step-by-step explanation:

I got it right on khan

Find all solutions of cos()=−1/2 on the interval [−

Answers

Answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10!!

Step-by-step explanation:

Derivative of tan^2 x

Answers

Answer:

[tex]2sec^2xtanx[/tex]

Step-by-step explanation:

[tex]\frac{d}{dx} tan^2x[/tex]

[tex]\frac{d}{dx} tanxtanx[/tex]

[tex](\frac{d}{dx}tanx)(tanx)+(tanx)(\frac{d}{dx}tanx)[/tex]

[tex]\frac{d}{dx}tanx=\frac{d}{dx}\frac{sinx}{cosx}=\frac{(cosx)(cosx)-(sinx)(-sinx)}{(cosx)^2}=\frac{cos^2x+sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]

[tex](sec^2x)(tanx)+(tanx)(sec^2x)[/tex]

[tex]2sec^2xtanx[/tex]

Helpful tips:

Product Rule: [tex]\frac{d}{dx}f(x)g(x)=f'(x)g(x)+f(x)g'(x)=\frac{d}{dx}f(x)*g(x)+f(x)*\frac{d}{dx}g(x)[/tex]

Quotient Rule: [tex]\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}=\frac{g(x)\frac{d}{dx}f(x)-f(x)\frac{d}{dx}g(x)}{(g(x))^2}[/tex]

Pythagorean Identity: [tex]cos^2x+sin^2x=1[/tex]

What is meant by a circle's diameter?

Answers

Answer:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Step-by-step explanation:

please mark my answer in brainlist

Answer:

Step-by-step explanation

F u

Write an equation in point-slope form for the line that passes through the given points (1,-3),(4,-15)

Answers

ANSWER: y= -4x+1
slope-intercept form is y=mx+b

to find m, which is the slope, we used
m=(y2-y1)/(x2-x1) (rise over run)
=(-15-(-3)/4-1)
= -12/3
= -4

to find b, choose one of the points and use the slope -4 and plug it in:
y=m(x)+b
-3= -4(1)+b
-3= -4+b
1=b

Answer: b=7

Step-by-step explanation:

what is the equation of a line whose slope is -2 and whose y-intercept is 4?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

if y is 4..it means x intercept is 0

gradient is -2

and we know gradient is the change in y /change in X

so: we let the second intercepts to be (x,y)

so y-4/x-0=-2

multiply by x-0 both sides then collect like terms together

it will be y= -2x+4


A video game is on sale for 30% off the
regular price of $50. What is the sale
price of the video game

A.$20
B.$30
C.$33
D.$35

Answers

Answer:

d! 35 ......!!!!!!!!!!!!

Answer each part. If necessary, round your answers to the nearest hundredth. (a) A color printer prints 9 pages in 3 minutes. How many pages does it print per minute? | pages per minute (b) At Hoffman's Bike Rentals, it costs $37 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar? hours per dollar​

Answers

Answer:

Q1: 3 pages per minute

Step-by-step explanation:

time = 3 minutes

pages = 9 pages

answer = 9 divided by 3 = 3

Answer:

3 pages per minute

1 hour per $5.29

Step-by-step explanation:

9÷3= 3

37÷7= 5.29

Find the volume in cubic yards of a rectangular solid with length 3.8 yards, width 2.2 yards, and height 2.3 yards

Answers

Answer:

19.228 cubic yards

Step-by-step explanation:

volume = l×w×h

[tex]v = (3.8)(2.2)(2.3) \\ = 19.228 \: {yards}^{3} [/tex]

PLEASE HELP!! ASAP THANKS

Answers

B, is the correct answer :))))

solve the inequality 2x+2-6x<32

Answers

x>−15/2

15/2 is a fraction

Select the graph of the equation y + x + 3 = 0.

Answers

Answer:

the fourth image

Step-by-step explanation:

y + x + 3 = 0

y = -x - 3

meaning slope = -1

and y-intercept is -3

answer: image attached

because they all look similar, it is the one that moves exactly one block per unit

Estimate. Then divide. check for reasonableness 25,600 divided by 25.

Answers

Answer:

Step-by-step explanation:

Guys help me on this one please…

Answers

Answer: 6. 35 hours

7. 741 Miles

8. 1.5 or 1.54

Step-by-step explanation:

6. 142.20/6=23.7

829.50/23.7=35

7. 117/3=39

39x19=741

8.19/12.35=1.538

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