Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.

Answer:

y=[tex]\frac{-1}{2}[/tex]x+1

Step-by-step explanation:

First, let's do the easiest part, finding the y-intercept, which shows up at the end of your slope intercept equation, y=mx+b, where slope is rise over run!

- Simply look for where the coordinate is on the y-intercept, which is at y = 1!

Then, we need to find our rise over run, which is basically counting from point a to point b. To get to the lower coordinate from the top, we go down two (-2), and over 4. Which means we "rose" -2, and "ran" 4! It's -2 because we went DOWN, and positive 4 because we went FORWARD. This gave us 2 over 4, which is the same as 1 over 2!

:D

Answer:

21 is 35% of 60.

35% * x = 21

Multiply both side by 100 and divide both sides by 35.

x = 21 * 100/35

21 * 100 = 2100

2100/35 = 60.

oml there it let me actually answer this time :)

Step-by-step explanation:

Answer:

Step-by-step explanation: 72

Answer:

108

Step-by-step explanation:

8^4 = 4096

6^3 = 216

16^-2 = 0.00390625

4096x216x0.00390625 = 3456

3456/32 = 108

Answer:

(3/2)^3

Step-by-step explanation:

The trick here is to identify the common base (it is 2) and express all factors except for 3^2 as powers of 2 that can be added or subtracted.

Note that 8 = 2^3, 6 = 2 * 3, 16 = 2^4 and 32 = 2^5.  Using this info, we can immediately begin reducing the given expression:

                                         (2^3)(2^3)(3^3)        2^6*3^3             3^3

(8^4)(6^3)(16^-2)÷32  =>  ----------------------- = ----------------  =  --------------

                                          2^4*2^5                 2^9                   2^3                                      

                                                                                               = (3/2)^3

Answer:    ( -23•3n4y7)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((4•(n5))•(y2))•((0-((2•3n2)•y))-5)

Step  2  :

Equation at the end of step  2  :

 (22n5 • y2) • (-6n2y - 5)

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -6n2y - 5  =   -1 • (6n2y + 5)

Answer:

hope this helps you

Answer: 5,400,000

Step-by-step explanation:

Since the number in the ten-thousandths place is a seven, you will round up. Disregard any numbers before the ten thousandths place, and round up.

5,400,000 is the final answer.

Step-by-step explanation:

5,370,288

^

That is the thousands place.

Since 7 is higher then 5 then 3 would turn to 4

5,400,000 is the answer.

Answer:

n/4 = -19

=> n = (-19) x 4

=> n = -76

Hope this helps!

:)

Answer:

-76

Step-by-step explanation:

You have to moltiply lefy side and right side by 4, so you have:

4 × n/4 = 4 × (-19)

the left 4 goes out because 4/4 = 1

n = 4 × (-19)

n = -76

Answer: The equation is (3x) + (2x + 20) + (x+10) = 180, and the x = 25.

Step-by-step explanation:

First, you know that all the measures of angles equal 180°.

So, we can make this equation:

(3x) + (2x + 20) + (x+ 10) = 180

Then, solve for x:

3x + 2x + 20 + x + 10 = 180

Combine the like terms that have the variable, x, in them:

6x + 20 + 10 = 180

Now combine the constant numbers:

6x + 30 = 180

Next, subtract 30 from that side:

6x = 180 - 30

6x = 150

Then, divide:

[tex]\frac{6x}{6}[/tex]= [tex]\frac{150}{6}[/tex]

x = 25

Therefore, the equation is (3x) + (2x + 20) + (x +10) = 180, and the x is 25.

Hope this helps! :)

Answer:

x = 25°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is equal to 180°. If we add all the measures and set it to 180°, we can solve for x.

The value of x is 25°.

Answer:

125

Step-by-step explanation:

For the first digit of our number, we have 5 options (1, 2, 3, 4, 5). For the second and third digits, we still have 5 options because the digits can be repeated. This means that the total different numbers we can make is 5 * 5 * 5 = 125 numbers. Hope this helps!

Answer:

C. centimetres cubed

Answer:

c

Step-by-step explanation:

volume is length x width x height. which means that it is cubed. and cubed is x^3

Answer:

∠ GHI = 40°

Step-by-step explanation:

The inscribed angle GHI is half the measure of the intercepted arc GI, thus

∠ GHI = 0.5 × 80° = 40°

The measure of the ∠GHI is 40°.

An inscribed angle is the angle that an arc at any point on the circle subtends.

From the Inscribed angle theorem:

A circle's inscribed angle is half of the central angle that subtends the same arc on the circle, according to the inscribed angle theorem.

That means,

The measure of the ∠GHI

= the measure of the arc GI /2

= 80°/2

The measure of the ∠GHI = 40°

Therefore, the measure of center angle is 40°.

To learn more about the inscribed angle:

https://brainly.com/question/29028021

#SPJ2

Answer:

This is the formula of how to answer this question hopefully it helps :)

Sugar = Flour

A cup of sugar weighs about 7 ounces, and a cup of all-purpose flour weighs about 4-1/2 ounces. So, if we're building a recipe with 1 cup sugar, we'll need about 1-1/2 cups flour (about 6-3/4 ounces).

Step-by-step explanation:

Answer:

true

false

true

true

Step-by-step explanation:

correct me if i am wrong

Answer:true

Step-by-step explanation:

I need brainlest

Answer:

I think the answer would be B

Step-by-step explanation:

Answer:

3 15/16

Step-by-step explanation:

The ruler has been turned to the inches

So what you are measure is in between 3 and 4 so 3

And between 3 and 4 there are 16 small lines and what you are measuring ends at 15

So the answer is 3 15/16

Answer:

Step-by-step explanation:

First, write:

     2y

 ----------

      x

and then multiply this result by 100%:

 200y

 ----------

      x

Answer:

[tex]-x^{2}[/tex]-x+9

Answer & Step-by-step explanation:

[tex]2x^2+6x-7x+8-3x^2+1[/tex]

Combine your like terms.

[tex](2x^2-3x^2)+(6x-7x)+(8+1)[/tex]

[tex]-x^2-x+9[/tex]

So, the simplified form of this equation is -x² - x + 9

Answer:

$18.36

Step-by-step explanation:

14.75+5.25=20

20 x  0.15 = 3

20 - 3 = 17

17 x 0.08=1.36

17+ 1.36 =18.36

total is $18.36

Answer:

28 + 2/10 + 4/100

Step-by-step explanation:

28.24

28 ones  plus 2 tenths  plus 4  hundredths

28 + 2/10 + 4/100

Answer:

the answer is 30

Step-by-step explanation:

im not sure of these equations but the answer is definitely 30.

you can get the answer of 60% of 50 by using a calculator and entering

.60 x 50 = 30 hope this helps

Answer:

Equation of line; y = - 6x

Step-by-step explanation:

As we can see from this graph, point ( 0, 0 ) lying on this graph intersects the y - axis such that it forms a y - intercept of 0;

At the same time we can note that the change in y / change in x, in other words the slope, differs by a rise of 6 / run of - 1, 6 / - 1 being a slope of - 6;

If this equation is in slope - intercept form ⇒

y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,

Equation of line; y = - 6x

Answer:

y = -6x

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

the y intercept is 0 since it crosses the y axis at 0

To find the slope we need to points (0,0) and (10,-60)

m = (y2-y1)/(x2-x1)

    = (-60-0)/(10-0)

    = -60/10

  = -6

The equation for the line is

y = -6x +0

y = -6x

Answer:

35

Step-by-step explanation:

Substitute 13 for x

f(13) = 2 (13) -1

       = 36 -1

       = 35

Answer:

80 and 10 laptops, also what is the goal though...

Step-by-step explanation:

Answer:c,d

Step-by-step explanation:

Answer:

marks wage is 12$ and he earned 72$

Stevens wage is 15$ and earned 75$

Step-by-step explanation:

[tex]5(x+3)+6x=147\\5x+6x+15=147\\11x=132\\x=132/11\\x=12[/tex]

Answer:

x=5 , but there is nothing for us to examine.

Answer:

2b. 3(2-x)

2c. add the 5x-10

5(x-2)

3.its suppose to be 12x+3=3(4x+1)

3(4x+1)=12x+3

Step-by-step explanation: