limθ→π/4 (cosθ−sinθ​)/(θ– π/4)​

Answers

Answer 1

Answer:

-√2

Step-by-step explanation:

For the typing purpose I replaced θ with n in the calculation

[tex]\lim_{n \to \frac{\pi }{4}} \frac{cos n-sin n}{\frac{\pi }{4} } ...limits L'Hopital's Rule\\= \lim_{n \to \frac{\pi }{4}} \frac{-sin n-cos n}{1 } ... plug. in . \frac{\pi }{4} \\= - sin \frac{\pi }{4} - cos \frac{\pi }{4}\\= - \frac{\sqrt{2} }{2} - \frac{\sqrt{2} }{2}\\= \frac{- 2\sqrt{2}}{2} \\= - \sqrt{2}[/tex]


Related Questions

Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept -3. Then graph the line.

Answers

Answer:

y = 4/3x -3

Step-by-step explanation:

Can you find the value of x please?!

Answers

Answer:

32

Step-by-step explanation:

The interior angles of a triangle add up to 180.

Subtract 98 and 50 from 180.

180-(98+50)=32

Step-by-step explanation:

you add all the values and equate them to 180

13. A bakery is having a buy 4, get 1 free sale on cakes. This sale is eguivalent to what percentage off the regular price of all 5 cakes? A. 196 B. 10%% C. 20 D. 25%6 E. 40%​

Answers

Answer: 20

Step-by-step explanation:

the area of a square is 400 units. if the length of each side of the square increased by one unit, would its area be a rational number

Answers

Answer:

Yes, the area of the square would be a rational number.

Step-by-step explanation:

Area of square = 400 units² = x²

x = one side length of square

x = √400 = 20 units

Increase each side length by 1 unit.

New side length = 21 units

Area of new square = 21² = 441

441 is a rational number because the square root of 400 is a rational number.

√400 = 21

Therefore: If the length of each side of the square increased by one unit, the area of the square would be a rational number. The area of the square would still be a perfect square.

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line 4x + 3y = 12? Drag and drop each choice into the boxes to correctly complete the table. Parallel Perpendicular Neither

Answers

Step-by-step explanation:

The line given:

4x + 3y = 12, its slope is m = - 4/3

Other lines to compare:

-3x + 4y = 8, the slope is m = 3/4, it is perpendicular line as the product of the slopes is  - 1;4x + 3y = 31, the slope is m = -4/3, same slope but different y- intercept, it is parallel line;3x + 4y = 12, the slope is m = -3/4, it is neither parallel nor perpendicular;-4x + 3y = - 1, the slope is m = 4/3, it is neither parallel nor perpendicular
4x+3y=123y=-4x+12y=-4/3x+12

Slope=m=+4/3

#1

-3x+4y=8

m=3/4

Perpendicular

#2

4x-3y=31

m=-4/3

Parallel

#3

3x+4y=12

m=-3/4

neither

#4

-4x+3y=-1

m=4/3

Neither

y = 6(x – 3)2 + 4
How do I rewrite the quadratic function in standard form

Answers

Answer:

6x^2 -36x + 58

Step-by-step explanation:

expand (x-3)^2 = x^2 -6x +9

6(x-3)^2 +4=6(x^2 -6x +9) +4 =6x^2 -36x + 54 +4 = 6x^2 -36x + 58

What is the sum of the 15th square number and the 4th square number?

Answers

Answer:

241

Step-by-step explanation:

15th squared number = 225

4th squared number = 16

225 + 16 = 241

7,218 round off thousand​

Answers

correct answer: 7,0007,218 rounded to the nearest 1,000 would be 7,000!

what is 5x plus 2 equals 4x -9

Answers

Answer:

x=-11

Step-by-step explanation:

5x+2=4x-9

5x-4x=-9-2

x=-11

9b-27= 3(2b-8)+2b solve for b


please show work on how you found b

Answers

Answer:  b = 3

Step-by-step explanation:

9 − 27 = 3(2 − 8) + 2

9 − 27 = 6 − 24 + 2

9 − 27 = 6 − 24+ 2

9 − 27 = 8 − 24

9−27=8−24

9−27+27=8−24+27

9 = 8 + 3 ------Subtract 8b from both sides

b = 3

What is the equation of the line that passes through points (-3, 0.5) and (3, -0.5)?
Group of answer choices
=−6
y
=

6
x

=−16
y
=

1
6
x



=−6−17.5
y
=

6
x

17.5



=−16+1

Answers

Answer:

Remember that the slope is the change in y/the change in x

Step-by-step explanation:

1. The slope  [tex]\frac{-0.5- 0.5}{3 - (-3)}[/tex]

                  = [tex]\frac{-1}{6}[/tex]

2.  Find "b" which is the y-intercept.  Pick one of the two point and the slope.

     Let use (-3, 0.5) and the slope is -1/6

      y = mx + b

      0.5 = -1/6 (-3) + b                      Solve for b

       3 = 3 + b                                   Multiply each term by 6

       0 = B

3. Write the equation of the line  y = mx + b

                                                       y = -1/6x + 0

       

In which situation would you most likely round numbers? (A) When you need to measure a precise amount of butter for cake recipe
(B) When you need to find out exactly how many guests are coming to your birthday party
(C) when you need to figure out about how much of a Carton of milk a box of cookies will cost together
(D) when you need to count the number of birthday cards and gifts you receive to be sure you didn’t lose any

Answers

Answer:

C

Step-by-step explanation:

its the only one that doesnt say precise or exactly or sure

Answer: C

Step-by-step explanation: when you need to figure out about how much of a Carton of milk a box of cookies will cost together. (You see it says "about" which means get it near the exact point. As for the others it uses words like "precise, exactly, etc".

Find the area use 3.14 for pi

Answers

Answer:

15.14 cm^2

Step-by-step explanation:

Area of rectangle = 4cm x 3 cm = 12cm^2

Radius of the circle = 2 cm

Area of 1/4 of a circle = (pi x r^2) / 4

= (3.14 x 4) / 4 = 3.14 cm^2

3.14 cm^2 + 12cm^2 = 15.14 cm^2

Please please help me with this question please now and show your steps

Answers

y = x^2 - 8x + 7

a) y-intercept

The y-intercept is the point where it crosses the y axis so x would 0.
So putting in 0 for x:
y = x^2 - 8x + 7
y = 0^2 - 8(0) + 7
y = 0 - 0 + 7
y = 7
The y intercept is at the point (0,7).

b)
The zeroes are the points where it crosses the x axis so it’s when the y is set to 0.

0 = x^2 - 8x + 7
Since it’s a quadratic equation we have to factor it. We fill in 2 numbers that add to -8 and multiplied to equal 7.
(x +____)(x+ ____)

The 2 numbers are 7 and -1 because -1*-7=7 and -7+(-1)=-8. So:
0 = (x-7)(x-1)

So now we have x-7 and x-1 equaling some quantity. If either of those happens to equal zero, it makes the whole equation 0, because (x-7)0=0 and 0(x-1)=0

So we can set each of it separately to 0 to solve for x.
x-7=0
x= 7

x-1=0
x= 1

The zeroes are at the points (1, 0) and (7, 0)

C.
The Vertex Form of a Quadratic is:
y = a(x-h)^2 + k. And the vertex is (h, k)

y = x^2 - 8x + 7
y - 7 = x^2 - 8x

We want to complete the square by adding some number to both sides of the equation so that when we factor it we are going to get (x-a)(x-a).

So take half of 8 to get two equal numbers that would be our “a”. 8/2=4 so we want (x - 4)(x- 4).

(x-4)(x-4) multiplies out to x^2 - 8 + 16.

continuing,
y - 7 = x^2 - 8x

Add 16 to both sides.
y - 7 + 16 = x^2 - 8x + 16

y + 9 = (x-4)(x-4)
y + 9 = (x-4)^2
y = (x-4)^2 - 9 is the vertex form.

The vertex is at the point (4, -9). So the axis of symmetry is at the line x = 4.

D. The vertex is solved in C as the point (-4, -9).

May I please receive help?

Answers

Answer:

Line 1 and 2 are neither

Line 1 and 3 are parallel

Line 2 and 3 are neither

Step-by-step explanation:

y = ⅗x -6

10x-6y=6

5y=3x+6

-6y= -10x + 6

y= -10/-6x +6

y= 5/3x+6

5y= 3x+6

y=⅗x+6

please help I dont understand​

Answers

Answer:

3rd option

Step-by-step explanation:

A direct variation is expressed in this form:

y = kx

1. y - 4x = 8

y = 4x + 8 is not a direct variation

2. y + 2 = 7x

y = 7x - 2 is not a direct variation

3. y - 3x = 0

y = 3x is a direct variation

4. y = 5x - 2

y = 5x - 2 is not direct variation

Solve for the variables shown in the steps simplifying the expression below:
2^5·8^4/16=2^5·(2^a)^4/2^4=2^5·2^b/2^4=2^c.

Answers

Answer:

a=3, b=12, c=13

Step-by-step explanation:

please help me its due in 3 mins

Answers

Answer:

p = 35°

Step-by-step explanation:

Angles on a straight line add up to 180° so:

2p + 5 + 3p = 180° (simplify)

5p + 5 = 180° (subtract 5 from both sides)

5p = 175° (divide both sides by 5)

p = 35°

Hope this helps!

Answer:

p=35

Step-by-step explanation:

You have to add the two together and set them equal to 180, so 2p+5+3p=180 so 5p=175, so p=35.

0.02349 in standard form to 3 significant figure is?​

Answers

Answer:

I believe that would be 0.0235. I hope this helps you! :)

Answer:

0.0235

Step-by-step explanation:

dfrac{2349}{100000}

Round to the required significant figure: 0.0235

Help me please this is due please help

Answers

Answer:

18

Step-by-step explanation:

Divide the total weight of dough by the amount required for 1 pizza

20 [tex]\frac{1}{4}[/tex] ÷ 1 [tex]\frac{1}{8}[/tex] ( change mixed numbers to improper fractions )

= [tex]\frac{81}{4}[/tex] ÷ [tex]\frac{9}{8}[/tex]

• leave first fraction , change ÷ to × , turn second fraction ' upside down '

= [tex]\frac{81}{4}[/tex] × [tex]\frac{8}{9}[/tex] ( cancel 81 and 9 by 9 )

= [tex]\frac{9}{4}[/tex] × 8 ( cancel 4 and 8 by 4 )

= 9 × 2

= 18 pizza's

Find the difference in 14 5/10 - 12 9/10 please

Answers

Answer:

1 3/5

Step-by-step explanation:

14 5/10 - 12 9/10

I like to line them up vertically

 14 5/10

- 12 9/10

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

We need to borrow from the 14.  14 becomes 13 and the 1 becomes 10/10

 13 10/10+5/10

- 12 9/10

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

13 15/10

- 12 9/10

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

1  6/10

Simplify

1 3/5

hellppppppppppppppppppppppppp

Answers

Answer:

⁴/2

Step-by-step explanation:

because is I solveng to be a good

brainliest me

Answer:

Common ratio is - 4 / 2.

Step-by-step explanation:

Sequence = - 2, 4, - 8, 16, - 32, ....

Let the terms be " a ".

Here,

a1 = 2

a2 = 4

a3 = - 8

a4 = 16

a5 = - 32

Let the common ratio be " r ".

r1 = a2 / a1

= 4 / - 2

r1 = - 2

r2 = a3 / a2

= - 8 / 4

r2 = - 2

r3 = a4 / a3

= 16 / - 8

r3 = - 2

r4 = a5 / q4

= - 32 / 16

r4 = - 2

Since, the common ratios are same,

Therefore, r = - 2

- 4 / 2 = - 2

So, - 2 can also be written as - 4 / 2.

Hence,

r = - 4 / 2

Finally,

Common ratio ( r ) = - 4 / 2

Solve.
17. Kevin lives on a city block that has a perimeter of w- 2 miles. Each day he
runs around the block 3 times and then runs to the high school, which is an
additional 2 miles. How many miles does Kevin run in d days?

Answers

Answer: 8 miles a day

Step-by-step explanation:

pLsSsS hElP mE. iM dYiNg HeRe

Answers

Answer:

1. True

2. False

3. False

4. True

5. False

Step-by-step explanation:

Answer:

Step-by-step explanation:

1-  False

2- true

3- false

4- true

5-  true

State the reason for statement #5.
PLEASE ANSWER FAST

Answers

1. Given

2. Given

3. Alternate Interior Angles

4. Reflexive Property

5. SAS

Hope this helps!! :)

F(-5)=7+|-5|=7+5=12

HOW DO I SOLVE THIS?? HELPASAP

Answers

If it’s a matrix it says the answer is -5
F
=
12
=
12
=
12

What is the equation of the perpendicular bisector of the line
segment between (-1,5) and (3, 7)?

Answers

Answer:

Step-by-step explanation:

d

the net force on a
rock with a mass of 20 kg is
196 N. What is the accelera-
tion of the rock?

Answers

w=mass x acceleration
196 N= 20a
a=9.8

this maths question i don’t really understand

Answers

Answer:

I think it is straight forward, u just have to solve the problem

Step-by-step explanation:

so 35 x 586= 20510

3.5 x 5860=20510

36 x 586=21096

70 x 586=41020

Help like rn. Like rn please I will mark brainiest but pls help.

Answers

Answer:

90

and

20

i think so ye

Step-by-step explanation:

Answer:

Nvm

Step-by-step explanation:

U don’t need help anymore?

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