Ryan put $160 in a bank account. After 2 months, the total in his account decreased by 25%. What is the amount in Ryan's account now?

Answer:

1,2,3,6

Step-by-step explanation:

The factors of 6 are the number that go into 6 evenly

1,2,3,6

Answer:

The two rules we need to use are:

Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)

And we also know that:

sin^2(a) + cos^2(a) = 1

To solve the relations, we start with the left side and try to construct the right side.

a) Sin(3*A) = sin (2*A + A) = sin(2*A)*cos(A) + sin(A)*cos(2*A)

sin(A + A)*cos(A) + sin(A)*cos(A + A)

(sin(A)*cos(A) + sin(A)*cos(A))*cos(A) + sin(A)*(cos(A)*cos(A) - sin(A)*sin(A))

sin(A)*cos^2(A) + sin(A)*cos^2(A) + sin(A)*cos^2(A) - sin^3(A)

3*sin(A)*cos^2(A) - sin(A)*sin^2(A)

sin(A)*(3*cos^2(A) - sin^2(A))

Now we can add and subtract 4*sin^3(A)

sin(A)*(3*cos^2(A) - sin^2(A)) + 4*sin^3(A) -  4*sin^3(A)

sin(A)*(3*cos^2(A) + 3*sin^2(A)) - 4*sin^3(A)

sin(A)*3*(cos^2(A) + sin^2(A)) - 4*sin^3(A)

3*sin(A) - 4*sin^3(A)

b) Here we do the same as before:

cos(3*A) = 4*cos^3(A) - 3*cos(A)

We start with:

Cos(2*A + A) =  cos(2*A)*cos(A) - sin(2*A)*sin(A)

= cos(A + A)*cos(A) - sin(A + A)*sin(A)

= (cos(A)*cos(A) - sin(A)*sin(A))*cos(A) - ( sin(A)*cos(A) + sin(A)*cos(A))*sin(A)

= (cos^2(A) - sin^2(A))*cos(A) - sin^2(A)*cos(A) - sin^2(A)*cos(A)

= cos^3(A) - 3*sin^2(A)*cos(A)

=  cos(A)*(cos^2(A) - 3*sin^2(A))

now we subtract and add 4*cos^3(A)

= cos(A)*(cos^2(A) - 3*sin^2(A)) + 4*cos^3(A) - 4*cos^3(A)

= cos(A)*(-3*cos^2(A) - 3*sin^2(A)) + 4*cos^3(A)

= cos(A)*(-3)*(cos^2(A) + sin^2(A)) + 4*cos^3(A)

= -3*cos(A) + 4*cos^3(A)

Answer:

11 rides

Step-by-step explanation:

First Step - Subtract 6 from 40 because that will not be of use for now.

40-6=34

Next Step - divide 34 by 3 to find the number of rides.

(you will end up with a decimal so I rounded it up to a whole number.)

34/3=11 (rounded)

The final answer is 11 rides.

Hope this helped :)

Answer:

6 + 3x ≤ 40

x≤11

Step-by-step explanation:

6 + 3x ≤ 40

-6           -6  

3 x  ≤   34  

3  x  ≤    3  

x    ≤   11

Answer:

B -option

Step-by-step explanation:

Intercept form , some of them are

Y=mx+ c  where x is  x-intercept and b -is y intercept, m-is slope

You can also write as

y=a(x-p)(x-q)

Answer:

x=35

Step-by-step explanation:

Alright so an isosceles triangle is a triangles that has 2 angles that have the same value and those lines tell us which angles are the ones that are the same which would be angle Q and angle R. The lines are almost pointing at those angles. All of the angles will equal 180 so we set up an equation

180=2x + 40  because Q and R have the same value we multiply the 2x by 2

now we have 180=4x+40

step 1 subtract each side by 40

140=4x

step 2 divide each side by 4

35=x

Answer:

5x+9y

Step-by-step explanation:

Step-by-step explanation: Notice that 3x and 2x are like terms.

So we can combine them to get 5x.

Since 9y is the only y term, we leave it separate.

So our answer is 5x + 9y.

Answer:

.30

Step-by-step explanation:

The sample proportion is option D.

When repeated random samples of a certain size n are taken from a population of values for a categorical variable, the mean of all sample proportions (p-hat) equals the population percentage (p).

Option D aptly defines the solution.

Learn more about sample proportion here:

https://brainly.com/question/24232216

#SPJ2

Answer:

The answer is x+8.

Because you gotta factor out first and then cancel.

Answer:

x=-1 4/5

first one

Answer:

A x ≤ 20

Step-by-step explanation:

2x+y= -5 is our equation and it passes through (4, -3)

point-slope formula= y-y1= m(x-x1)

fill in your formula, but flip the slope so its perpendicular. so slope is 1/2.

y+3=1/2(x-4) when i filled the formula in, i used 4 as x1 and -3 as y1.

y+3=1/2x-2 multiply x and -4 by 1/2

y=1/2x-5 subtract 3 from both sides.

Final answer: y=1/2x-5

Also, i'm sorry my answer took so long the bell rang and so I had to leave this alone for a minute. Feel free to ask any questions :)

Answer:

Step-by-step expla These are the possible sums of the factor pairs of 12 b is the sum of the factors used to multiply to get 12 for the C value. ( x + 1) xx (x + 12) = x^2 + 13 x + 12 ( x - 1) xx (x - 12) = x^2 + (-13) x + 12 (x + 2) xx (x + 6) = x^2 + 8x + 12 (x - 2) xx (x - 6) = x^2 + (-8)x + 1

Answer:  12 b

These are the possible sums of the factor pairs of 12 b is the sum of the factors used to multiply to get 12 for the C value. ( x + 1) xx (x + 12) = x^2 + 13 x + 12 ( x - 1) xx (x - 12) = x^2 + (-13) x + 12 (x + 2) xx (x + 6) = x^2 + 8x + 12 (x - 2) xx (x - 6) = x^2 + (-8)x + 1

Answer:

Step-by-step explanation:

[tex]12\sqrt{11}=\sqrt{11*12*12}\\\\=\sqrt{1584}[/tex]

Answer:

I think it is 12

Step-by-step explanation:

Answer:

There should be 13 players on each team.

(Which is weird because its usually 15 players)

Step-by-step explanation:

Anyways all we have to do to find out how many player are on each team is to divide the total amount of player by the teams.

260 ÷ 20 = 13

So, there are 13 players on each team.

Answer:

1. 23 2. 9 3. x/3 4. 189

Answer:

The correct answer is the second one.

I'm 100000000000% sure

Given:

The side lengths of two cubes are 12 ft and 6 ft.

To find:

The side length of third cube.

Solution:

From the given figure it is clear that the cubes are inclined to each other in such a way so that they form a right angle triangle and side length of third cube is the hypotenuse.

Let x be the side length of the third cube.

Using Pythagoras theorem, we get

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

[tex]x^2=(6)^2+(12)^2[/tex]

[tex]x^2=36+144[/tex]

[tex]x^2=180[/tex]

Taking square root on both sides, we get

[tex]x=\pm\sqrt{180}[/tex]

[tex]x=\pm 6\sqrt{5}[/tex]

Side cannot be negative. So,

[tex]x=6\sqrt{5}[/tex]

Therefore, the side length of the  third cube is [tex]x=6\sqrt{5}[/tex] ft.

Answer:

−18^3 + 15^2 − 2

Step-by-step explanation:

this is to simplest form

_____________________________________________

(−6^2+)(3−2)

−6(3−2)⋅^2+(3−2)

______________________________________________________

−6(3−2)⋅^2+(3−2)

−18^3+12^2+(3−2)

___________________________________________________

−18^3+12^2+(3−2)

−18^3+12^2+3^2-2

________________________________________________

-18^3+12^2+3^2−2

−18^3+15^2−2

_________________________________________

=−18^3 + 15^2 − 2

Answer:

5d

Step-by-step explanation:

five time a number d

5 x d

5d

Answer:

6 to the square root of 2

Step-by-step explanation:

square root congruency theorem

Answer:

x y

0 0 - this is the y intercept

1 -4

2 -8

3 -12

4 -16

Step-by-step explanation: