What is the number of cycles of y=9cos(θ/4+3π/2)+4 between 0 and 2π?

Answer:

given below

Step-by-step explanation:

These are fractions problems .

If you have 12 eggs and you need 1/6 then

12* 1/6= 12/6= 2 eggs

Similarly if you need 1/3,1/4, 1/2

12 * 1/3= 12/3= 4 eggs

12 * 1/4 = 12/4= 3 eggs

12 * 1/2 = 6 eggs

These can be drawn in sets of 12.

from the picture we see that dividing the 12 eggs in two parts and coloring one part gives 6 eggs.

Similarly dividng the 12 eggs in three parts and coloring one part gives 4 eggs.

The fractions 1/3,1/4,1/2 or 1/6 means dividing the 12 eggs into 3,4,2, or 6 parts and obtaining 1 part out of it.

Answer:

3 by 4

Step-by-step explanation:

Given the dimension of the polygon as 6 by 8

If the scale factor is 1/2, the new side length is gotten by multiplying both dimensions by 1/2 as shown:

For the side length 6:

New length = 1/2 * 6 = 3

For the side length 8:

New length = 1/2 * 8

New length = 4

Hence the new side lengths in the copy is 3 by 4

Answer:

1. (-3,3 ½)

2. (2.9,1) or (2 9/10,1)

3. (-1,-2.5) or (-1,2 1/2)

4. (1.9,-1) or (1 9/10,-1)

Step-by-step explanation:

Since some points were not directly on a line, they must have not been a whole number, so I estimated and used logical reasoning to get the coordinates of the items. Hope this helps.

Answer:

Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.

Hence, option C is true.

Step-by-step explanation:

Function 1

A horizontal straight line is drawn joining the ordered pairs (0, 3) and (4, 3).

Given the points

It means

at x = 0, y = 3

at x = 4, y = 3

Since the y-values are same, it means the points lie on a horizontal.

The rate of change or slope of a horizontal line is zero because it does not rise vertically ( i.e. y₁ - y₂ = 0).

Therefore, the rate of change of function 1 = 0

Function 2

y = 3x+1

comparing with the slope-intercept form

y = mx+b      

here m is the rate of change or slope and b is the y-intercept

so the rate of change of the function 2 = m = 3

Conclusion:

Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.

Hence, option C is true.

Either the question is printed wrong..

Or the answer should simply be

3x + 4y = 10

Answer:

see explanation

Step-by-step explanation:

To solve, choose a value of x or y, substitute into the equation and evaluate for the other variable.

Choose x = 2, then

3(2) + 4y = 10

6 + 4y = 10 ( subtract 6 from both sides )

4y = 4 ( divide both sides by 4 )

y = 1

Thus (2, 1 ) is a solution to the equation

Answer:

Value of p = 30

Step-by-step explanation:

Given:

Two number = 20 , p

Highest common factor (HCF) = 10

Lowest common multiple (LCM) = 60

Find:

Value of P

Computation:

Product of two number = HCF x LCM

20 x p = 10 x 60

20 p = 600

p = 600 / 20

Value of p = 30

Answer:

The radius is (1/2)Diameter/ 5.5

Step-by-step explanation:

Answer:

$100.7

Step-by-step explanation:

Total cost

= cost of item + amount of sales tax

= 95 + 6% of 95

= 95 + 0.06*95

= 95 + 5.7

= $100.7

Answer:

Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.

1.06 × $95.00 = $100.70

The object will cost $100.70.

Step-by-step explanation:

Credits to : Padoru

Check : https://brainly.com/question/14308615 to see their response

Answer:

7

Step-by-step explanation:

8+4=2(x-1)

12=2(x-1)

x-1 = 12/2

x-1 = 6

x = 6+1 = 7

Answer:

x = (y + 2)/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

y = 3x - 2

Step 2: Rewrite

Answer:

x = [tex]\frac{y+2}{3}[/tex]

Step-by-step explanation:

Given

y = 3x - 2 ( add 2 to both sides )

y + 2 = 3x ( isolate x by dividing both sides by 3 )

[tex]\frac{y+2}{3}[/tex] = x

Answer:

Number of ducks in paddock = 36

Number of sheep in paddock = 6

Step-by-step explanation:

Let d be the number of ducks and s be the number of sheep

Then according to given statements, the equations will be:

[tex]d+s = 42\ \ \ Eqn\ 1\\2d+4s = 96\ \ \ Eqn\ 2[/tex]

For elimination, multiplying equation 1 by 2 and then subtracting from equation 2:

[tex]2(d+s) = 2*42\\2d+2s = 84\\Subtraction:\\2d+4s-(2d+2s) = 96-84\\2d+4s-2d-2s = 12\\2s = 12\\\frac{2s}{2} = \frac{12}{2}\\s = 6[/tex]

Putting s = 6 in equation 1:

[tex]d+6 = 42\\d = 42-6\\d = 36[/tex]

Hence,

Number of ducks in paddock = 36

Number of sheep in paddock = 6

Number of sheep and Number of duck are 6 and 36

Given that;

Number of total heads = 42

Number of total feet = 96

Find:

Number of ducks and sheep

Computation:

Number of legs in 1 sheep = 4

Number of legs in 1 duck = 2

So,

Assume;

Number of sheep = a

Number of duck = b

So,

a + b = 42 ...... Eq1

4a + 2b = 96 ......... Eq2

Eq2 / 2

2a + b = 48..... Eq3

From Eq 3 and Eq1

a = 6

So,

b = 36

Number of sheep = 6

Number of duck = 36

Find out more information 'Elimination method'

https://brainly.com/question/3580300?referrer=searchResults

Answer:

=−46

Step-by-step explanation:

Answer:

243 .....................

Answer:

y = 3

Step-by-step explanation:

-3(2/3) + 5= y

-3 * 2/3 = -2

-2 + 5 = 3

So the answer is y = 3

Answer:

13. 230°

14. -3

14. 14

15. 9

Step-by-step explanation:

I'm srry if these are wrong

Answer:

x<-14

Step-by-step explanation:

Isolate x

-7x>98

x<-14

(can I get brainliest please)

Answer:

$100

Step-by-step explanation:

From the question, we are given the following

Rental price of the truck

percentage off coupon = 50%

Required

Sale tax of the truck rental

Sale tax of the truck rental = 50% of the truck price

Sale tax of the truck rental = 50% of $200

Sale tax of the truck rental = 50/100 * 200

Sale tax of the truck rental = 0.5 * 200

Sale tax of the truck rental = $100

Hence the sale tax of the truck rental is $100

Answer:

d^5

Step-by-step explanation:

Given the indicinal expression

d^8/d^3

Based on the law of indices, if the base are the same, subtract the powers. This is as shown:

d^8/d^3 = d^{8-3}

d^{8-3} = d^5

Hence the solution is d^5

Answer:

[tex]x \le -4[/tex]

Step-by-step explanation:

Given

[tex]\qquad16x - 7 \leq -71[/tex]

Required

Solve

Start by adding 7 to both sides

[tex]\qquad16x - 7 + 7 \leq -71 + 7[/tex]

[tex]\qquad16x - 7 + 7 \leq -64[/tex]

[tex]\qquad16x \leq -64[/tex]

Divide both sides by 16

[tex]\frac{16x}{16} \leq \frac{-64}{16}[/tex]

[tex]\frac{16x}{16} \leq -\frac{64}{16}[/tex]

[tex]x \leq -\frac{64}{16}[/tex]

[tex]x \le -4[/tex] --- The solution

Answer:

x < -4

I did this on khan academy

Answer:

c= is what ur answer will go in front of so whatever ur answer is u do c= then ur answer

Step-by-step explanation:

3c-2c+9-6=0

c+3=0

c=3

Answer:

3c-2c+9-6=0

c+3=0

c=-3

Answer:

x=3

Step-by-step explanation:

log (x^2 - 1) - log (2x + 2) = 0

Add log (2x + 2) to each side

log (x^2 - 1) = log (2x + 2)

Since the logs with the same base are equal the x^2 -1 must equal 2x+2

x^2 -1 = 2x+2

Subtract 2x+2 from each side

x^2 -1 -2x-2 = 2x+2 -2x-2

x^2 -2x-3 = 0

Factor

What number multiplies to -3 and adds to -2

-3 *1 =-3

-3+1 =-2

(x-3) (x+1) =0

Using the zero product property

x-3 =0   x+1 =0

x=3  x=-1

Check to see if solutions are valid

x = -1

log ((-1)^2 - 1) - log (2*-1 + 2) = 0

log(0) - log 0 = 0

Log 0 is undefined  x =-1 not a valid solution

x = 3

log ((3)^2 - 1) - log (2*3 + 2) = 0

log(8) - log 8 = 0

valid

Answer:

122

Step-by-step explanation:

They are equal

Answer:

the answer is negative 7 over 2

Step-by-step explanation:

Answer:

3i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-27}[/tex]

= [tex]\sqrt{9(3)(-1)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]

= 3i[tex]\sqrt{3}[/tex]

9514 1404 393

Answer:

  3)  1,440

Step-by-step explanation:

The dimensions of the prism can be expressed in terms of the cube dimensions.

  1 2/6 inches = 8/6 inches = 8×(1/6 inch)

  5/6 inch = 5×(1/6 inch)

  6 inches = 36/6 inches = 36×(1/6 inch)

So, the volume of the prism in terms of small cubes is ...

  8×5×36 = 1,440 . . . small cubes

Answer:

Let's suppose √2 is a rational number. Then we can write it √2  = a/b where a, b are whole numbers, b not zero.

We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.

From the equality √2  = a/b it follows that 2 = a2/b2,  or  a2 = 2 · b2.  So the square of a is an even number since it is two times something.

From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!

Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.

If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:

2=(2k)2/b22=4k2/b22*b2=4k2b2=2k2

This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!

WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.

(I copied this from the internet, but hope it helps!)

Answer:

Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero.

We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.

From the equality √2 = a/b it follows that 2 = a2/b2, or a2 = 2 · b2. So the square of a is an even number since it is two times something.

From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!

Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.

If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:

2 = (2k)2/b2

2 = 4k2/b2

2*b2 = 4k2

b2 = 2k2

This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!

WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.