review the proof (not in order) of the identity tan(0/2) = + √1-cos(0)/1+cos(0)
which is the correct sequence of steps

Answer:

y = -8

Step-by-step explanation:

-7y + 11 = 75 + y

Bring the "y" variable on one side, and rest on the other.

Rearranging, we get,

-7y - y = 75 - 11

-8y = 64

-y = 8

y = -8

Hope it helps :)

Answer:

  35.4 years

Step-by-step explanation:

The annual consumption (in billions of units) is described by the exponential function ...

  f(t) = 45.5·1.026^t

The accumulated consumption is described by the integral ...

  [tex]\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)[/tex]

We want to find t such that the value of this integral is 2625, the estimated oil reserves.

  2625 = 45.5/ln(1.026)·(1.026^t -1)

  2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t

Taking natural logs, we have ...

  ln(2.480832) = t·ln(1.026)

  t ≈ ln(2.480832)/ln(1.026) ≈ 35.398

After about 35.4 years, the oil reserves will run out.

Answer:

The slope is positive 7

Step-by-step explanation:

The y-intercept is -5, and the next point going upwards is positive 2. (Sorry I'm bad at explaining)

Answer:

The slope is 7

Step-by-step explanation:

(1,2)(0,-5)

[tex]m=\frac{-5-2}{0-1} ==\frac{-7}{-1} =7[/tex]

Hope this helps

Answer:

40cm

Step-by-step explanation:

volume of a cylinder= πr²h

V=24litres, Area=πr²=600cm², height=?

converting litres to cm³

1litre=1000cm³

24litres= 24×1000

=24000cm³

24000=600× h

h= 24000/600

= 40cm

Answer:

31%

Step-by-step explanation:

hope this helps

Answer:

18394

Step-by-step explanation:

9197 × 2 = 18394 You double 91972

to work out the profit in December

Answer:

The answer is A.

Step-by-step explanation:

It is A because both sides match up except for the last pair, where they are the same. Hope this helped!

Answer:

B.

Step-by-step explanation:

4 is of course not equal to 5 so no values of x make the equation true.

There are no solutions to this equation.

Answer:

5 feet + 12 inches = 2 yards

48 inches = 1 foot + 1 yard

5 feet = 3 feet + 24 inches

Step-by-step explanation:

To help solve these equations, you must know how to convert feet to inches, inches to yards, etc. Use the information below:

1 feet = 12 inches

3 feet = 1 yard

To solve 5 feet + 12 inches = blank yard(s), convert 5 feet & 12 inches to yards. Since 5 feet would be complicated to convert, let's convert 12 inches to feet first.

12 inches = 1 feet

Instead of 12 inches, we can substitute it as 5 feet + 1 feet = blank yard(s). That would be 6 feet = ? yards. 3 feet = 1 yard, which tells us we must divide both sides by 3. Thus, 5 feet + 12 inches = 2 yards.

Blank inches = 1 foot + 1 yard

To find the # of inches in a yard, you must first know that 3 feet = 1 yard. If there are 12 inches in a foot, we must multiply 3 by 12, getting us 36. You add 12 inches (1 foot), getting us 48 inches in total. Thus 48 inches = 1 foot + 1 yard.

Blank feet = 3 feet + 24 inches

Since 3 feet is already feet, we do not need to convert it. If 12 inches is 1 foot, we must divide 24 inches by 12. So, there is 2 feet in 24 inches. 2 + 3 is 5. Thus, 5 feet = 3 feet +24 inches.

Answer: 0.1(1000 + 300m)

Use the distributive property: a x (b + c) = a x b + a x c

0.1 x 1000 + 0.1 x 300m

Evaluate both products: 100 + 30m (1)

Note: Multiplying a number by 0.1 is the same as dividing the number by 10.

We need to determine the profit when 50 pieces are sold.

Substitute m with 50 in equation (1).

100+30(50)

Evaluate product: 100 + 1500

Evaluate sum" 1600

Thus the profit is $1600.

Step-by-step explanation: I hope this helps you on any other problem! :)

Good Luck!

-10 sin(x) = -4 csc(x) + 3

Recall that csc(x) = 1/sin(x) :

-10 sin(x) = -4/sin(x) + 3

Multiply both sides by sin(x) :

-10 sin²(x) = -4 + 3 sin(x)

Move everything to one side:

10 sin²(x) + 3 sin(x) - 4 = 0

Factorize the left side:

(2 sin(x) - 1) (5 sin(x) + 4) = 0

Then we have two cases,

2 sin(x) - 1 = 0   or   5 sin(x) + 4 = 0

Solve for sin(x) :

sin(x) = 1/2   or   sin(x) = -4/5

Solve for x :

• if sin(x) = 1/2, then

x = arcsin(1/2) + 2nπ   or   x = π - arcsin(1/2) + 2nπ

x = π/6 + 2nπ   or   x = 5π/6 + 2nπ

• if sin(x) = -4/5, then

x = arcsin(-4/5) + 2nπ   or   x = π - arcsin(-4/5) + 2nπ

x = -arcsin(4/5) + 2nπ   or   x = π + arcsin(4/5) + 2nπ

(where n is any integer)

Answer:

A.

Step-by-step explanation:

Answer:

This answer would be c

Step-by-step explanation:

Answer:

it should be 21 if I did this right.

Step-by-step explanation:

you multiply the width times the length (6 × 7) =42 then 882 divided by 42 to get 21

Answer:

Not including circles in total shapes: 1 circle to every 4 squares or 1:4

Including circles in total shapes: 1 circle to every 5 shapes or 1:5

Step-by-step explanation:

16 ÷ 4 = 4

20 ÷ 4 = 5

Answer: 1:5

Step-by-step explanation:

Answer:

i think factor the expression (r+7)(r+14) is answer

Step-by-step explanation:

Answer:

(r + 14)

Step-by-step explanation:

When factoring a trinomial in the form of:

[tex]ax^2+bx+c[/tex]

you need to find 2 numbers that multiply to make ac and add to make b. Here, we need to find 2 numbers that multiply to 98 and add to 21. First, list the factors of 98:

1, 98

2, 49

7, 14

and the reverse of all of those is also true.

Now find factors that add to 21. In this case, those are 7 and 14. You need to break the middle term in the trinomial into those 2 numbers:

[tex]r^2+21r+98\\r^2+7r+14r+98[/tex]

Finally, you can factor each half of this individually.

[tex](r^2+7r)+(14r+98)\\r(r+7)+14(r+7)\\(r+14)(r+7)[/tex]

We were already given (r + 7), so the answer is (r + 14).

Answer:

43 messages

Step-by-step explanation:

Given:

146 messages = $21.90

x messages = $6.45

Finding x by cross-multiplication:

x = 146*6.45/21.90 = 43

Hope this helps! :)

Answer:

The answer is below.

Step-by-step explanation:

4x<-6-6

4x<-12

x= -3

Inequality form:

x< -3

Interval Notion:

(-8,-3)

Note: Turn the -8 on the sideways on the right, because its not 8.

Answer: x < -3

Step-by-step explanation: 4x+6=-6

                                                   -6  -6

                                                     4x/4      -12/4

                                                            x<-3

Answer:

p=1

Step-by-step explanation:

[tex]\frac{4-p}{1-0}[/tex]=3

4-p=3

p=1

You can use the definition of a function to classify which mapping is a function and which mapping is not a function.

The first group is not a function as there are two outputs for 0

The second group is a function as there are single output to each input.

There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.

Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.

So, for a mapping to be function, we need each input to be mapped to only one output.

For group 1, we see that 0 has output 1 and output 5 both. Since for a mapping to be a function, we need each input to have single output, thus, this group doesn't represent a function.

For group 2, we see that each input has only one output, thus,this group represents a function.

Remember that we assumed that the pair of points were written as

(input, output)

Thus.

The first group is not a function as there are two outputs for 0

The second group is a function as there are single output to each input.

Learn more about functions here:

https://brainly.com/question/13395697

Answer:

i think the answer to this question is positive correlation

Step-by-step explanation:

this image below may help u

Answer:

speed in still water is v=40 speed of current

Answer:

Plan One: y=4x+40

Plan Two: y=12x

Step-by-step explanation:

Answer:

$8x + $12y = $120

Step-by-step explanation:

x = amount of juice

y = amount of pizza

$120 = his total money

Answer:

y=2x-1

Step-by-step explanation:

Because this equation is in point-slope form and we need it in slope-intercept form, all we need to do is simplify y-5=2(x-3).

y-5=2x-6     Distribute.

 +5     +5     Add 5 to both sides of the equation.

y=2x-1

Hope this helped! Have a great day ♥