What is the value of b?

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.

Answer:

IS LINEAR

Step-by-step explanation:

Answer:

X=20

Y=70

Step-by-step explanation:

All angles within a triangle add up to 180

180 - 40 = 140

140 is the top angle of the big triangle

140 + x + x = 180

x = 20

Now use x to find y by subtracting from the right angle (90 degrees)

90 - 20 = 70

70 + 40 + y = 180

Y = 70

Answer:

x+2x+2=17

Step-by-step explanation:

I'm assuming that's what you're asking, so here is the answer explanation.

3x+6=21

3x=15

Hence, x=5

Apply x=5 to x+2x=2

5+10+2

=17

Answer:

y = 5x +4

Step-by-step explanation:

x has to equal 1

y = 5(1) +4 = 9

Answer:

$1.76

Step-by-step explanation:

First we need to figure out the cost of one apple.

To do this, divide the cost by the amount.

That's .65/3, which equals .216666, but we should round that number to .22

So if one apple is 22 cents, and we need to know how much money 8 apples is, we times .22 by 8, which gives us 1.76

Hope this helps :))

At the grocery shop, the cost of 3 apples is $0.65 then the cost of 8 apples is $1.76.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The given information in the question,

The cost of 3 apples = $0.65

The cost of 1 apple = $0.65/3 = $0.22

The cost of 8 apples = $0.22 × 8 = $1.76.

To know more about Expression:

https://brainly.com/question/14083225

#SPJ3

Answer:22$

Step-by-step explanation:

2x8.50 = 17+5 = 22$

How long do they bowl

Decimal notation is a way of expressing a number in base ten but with a decimal part. Therefore, from the given question;

Number bases is a method of expressing numbers in different notations with respect to the required base. When given numbers in base ten, it is required to divide it by the number base for conversion using long division method so as to convert it to any required base. So converting each element in the given set to base 5, we have:

{1000, 1001, 1002, 1003, 1004,......, 2000}

So that:

i. 1000 converted to base 5, we have:

5  1000

5   200  r 0

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13000_{5}[/tex]

ii. 1001 converted to base 5, we have:

5  1001

5   200  r 1

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13001_{5}[/tex]

iii. 1002 converted to base 5, we have:

5  1002

5   200  r 2

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13002_{5}[/tex]

So then, the set in base 5 is:

{13000, 13001, 13002, 13003, 13004,......, 31000}

To determine the number whose digits have the least sum;

a. 13000 = 1 + 3 + 0 + 0 + 0 = 4

b. 13001 = 1 + 3 + 0 + 0 + 1 = 5

c. 13002  = 1 + 3 + 0 + 0 + 2 = 6

d. 13003 = 1 + 3 + 0 + 0 + 3 = 7

e. 13004 = 1 + 3 + 0 + 0 + 4 = 8

.        .        .      .    .       .           .

.        .        .      .    .       .           .

z. 31000 = 3 + 1 + 0 + 0 + 0 = 4

Thus it would be observed that in base five, 1000, 1500 and 2000 digits gave the least sum of 4, so then:

[tex]\frac{1000+1500+2000}{3}[/tex]  = 1500

Visit: https://brainly.com/question/25112081

Answer:

I think its 1500

Step-by-step explanation:

1500

Answer:

the answer is 7 + 3 . 5

Step-by-step explanation:

Answer:

Tbh i don’t really know

Step-by-step explanation:

Ask someone else

Answer:

y = 44

Step-by-step explanation:

First, add 2 on both sides to get y/4 = 11, then multiply 4 on both sides to get y = 44.

Hope this helps :)

Answer:

The perimeter of this triangle is 33m.

We can find this by knowing a few things.

1. All sides of this triangle are the same because all the angles are the same.

2. This is an equilateral triangle.

The first thing we need to do is find out what x equals. We can do this by taking 2 of the equations and setting them up like so...

[tex]( 7x - 17 ) = ( 4x - 5 )[/tex]

Then we can plug this into a calculator and find out that x equals 4. And from there we can plug that x value into the equation. And since all sides are the same we just need to find the length of one side and multiply that by 3. So...

[tex]2x+3 = (2*4) +3[/tex]

Then we do some simple math to find that one side has a length of 11m so the entire perimeter is 33.

Step-by-step explanation:

hope this helps. . .<3

good luck!    UwU

The sentence representing the equation is 912 is the same as 15 decreased by a number.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given an equation, 912 = 15 − x

Here, 912 is equal to a number which is being subtracted from 15.

Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ2

Rationalise the denominator of 1/2√3

Detailed answer is in the image attached.

Hope it helps you....

Please mark as Brainlliest!!!

Answer:

x=m-7-6

Step-by-step explanation:

Answer:

I belive the answer is 3.

Step-by-step explanation:

35-2x4^2

35-2x16

35-32

3

Answer:

[tex]1225-140x^4+4x^8[/tex]

Step-by-step explanation:

(35-2x^4)^2 is a form of [tex](a-b)^2=a^2+b^2-2ab[/tex]

Applying this formula, we get 1225+4x^8-140x^4

Answer:

139.5

Step-by-step explanation:

8370/60

=139.5 per farm

The number of acres is each farm is 139.5 acres

Given that, 60 farms that cover about 8,370 acres of land.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number acres is each farm = Total number of acres/Number of farms

= 8,370/60

= 139.5 acres

Therefore, the number of acres is each farm is 139.5 acres

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer:

Y = -44 (hope this helps :)

Step-by-step explanation:

=2Y+88

We move all terms to the left:

-(2Y+88)=0

We get rid of parentheses

-2Y-88=0

We move all terms containing Y to the left, all other terms to the right

-2Y=88

Y=88/-2

Y=-44

Answer:

its D

Step-by-step explanation:

I got this correct in schoology

Answer:

Think of it as.....

a(b+c) also know as... ab+ac=______

Step-by-step explanation:

hope this helps!

your going to rock the distributive property

Answer:

Maybe to practice at least 10 problems a day, the more you have right the more you are gonna see yourself become more successful in that area.

Also watch videos, anyone that you can find I recommend.

or go to Khan Academy.

Step-by-step explanation:

I did it as well and now I pass everything that is compared to that subject.

Answer:

I think it 2 solution to the problem you can add or multiple

Answer:

Step-by-step explanation:u have to add x+6 = ur answer there u go

The image point is (-6, 3).

According to tradition, the "image" of point P is the reflection of point P across the line, which is designated by the term P' (pronounced "P prime").

The reflection of point (a,b) with respect to line y=k is point (a, 2k -b)

To find the image of the point (-6 ,1);

The formula:

(a, b) → (a, 2k-b)

Here a=-6, b = 1, k = 2

therefore (-6, 1) → (-6, 2×2 (-1))

= (-6, 3)

Hence, the answer is (-6, 3).

To learn more about the image point;

https://brainly.com/question/28361327

#SPJ2

Answer:

13.5

Step-by-step explanation:

use soh cah toa

cos 30 × 9√3= n

Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition states that ( a + b ) + c = a + ( b + c )​

Answer:

Step-by-step explanation:

The perimeter of a circle is 2πr

r here is 7 so the perimeter of the full circle is 14π which is 43.9822972

But you only have half a circle, so 43.9822972 / 2 = 21.991148.

But now you have to add the 14 cm to it to close the half circle, so 21.991148 + 14 = 35.991148 or 36 cm

Answer:

42, 138, and 138 degrees DON'T FORGET THE DEGREES SIGNS!!!!!

Step-by-step explanation:

Using vertical angles theorem, we can get another 42, 180-42, and 180-42.

So we have 42, 138, and 138

Answer:

not a direct variation

Step-by-step explanation:

x = (y-2)/9 is also x = y/9 - 2/9

we can convert this into slope-intercept form

y/9 = x + 2/9

y = 9x + 2

this equation is a straight line and is constantly going up BUT the y-intercept is not 0 so it is not a direct variation

the direct variation equation y = kx does not have a b or a y-intercept

Answer:

x = 7

Step-by-step explanation:

"six times a number is 21 less" = 6x + 21

"nine times the same number" = 9x

Equation: 6x + 21 = 9x

6x + 21 = 9x       [tex]\longmapsto[/tex]       Subtract 6x from both sides

21 = 3x               [tex]\longmapsto[/tex]       Divide both sides by 3

7 = x

x = 7

-Chetan K