Please help with this cylinder

Answer:

Here we have the function:

y = f(x) = 3^x

Using the values:

x and (x + 1)

We need to find that the y-value increases by a factor of 3.

So we need to prove that:

f(x + 1) = 3*f(x).

Or we can see the quotient:

f(x + 1)/f(x) = 3

Here we can find the values:

f(x + 1) = y = 3^(x + 1)

f(x) = y' = 3^x

If we take the quotient, we get:

[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x}[/tex]

Here we can use the properties:

[tex]a^n*a^m = a^{n + m}[/tex]

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

Using these in the quotient equation we get:

[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x} = \frac{3^x*3^1}{3^x} = \frac{3^x}{3^x}*3 = 1*3 = 3[/tex]

Then:

[tex]\frac{f(x + 1)}{f(x)} = 3[/tex]

[tex]f(x + 1) = 3*f(x)[/tex]

So we found that the y-value increases by a factor of 3 between any two points x₂ and x₁ such that: x₂ - x₁ = 1.

Answer:

14

Step-by-step explanation:

Answer:

0 | -6

____

3 | -15

Step-by-step explanation:

just plug in the numbers they give u in the chart

when x = 0 -> y = -3*0-6 = -6

when y = -15 -> -15 = -3x-6 -> x = 3

The graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation of the line is y = -3x - 6. the two points on the graph are satisfying the equation.

x = 0 , y = -3 x 0-6 = -6

y = -15 -> -15 = -3 x-6 -> x = 3

Therefore, the graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

To know more about an equation of the line follow

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Answer:

Choice A

Step-by-step explanation:

y-intercept = -3

double-checked on calculator

Answer: 2/5 or 40%

Step-by-step explanation:

10 total

4 red

4/10 are red

as a reduced fraction: 2/5

as a percent: 40%

Answer:

40%

Step-by-step explanation:

4/10 marbles are red therefore there is a 40 % chance you get a red marble

4/10 = .4

.4 x 100% = 40 %

9514 1404 393

Answer:

  200√2 square units

Step-by-step explanation:

The area of a regular polygon with n sides and radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

Here, we have n=8 and r=10, so the area is ...

  A = (8/2)(10²)sin(360°/8) = 4·100·√2/2

  A = 200√2 . . . square units

Answer:

1/64

Step-by-step explanation:

You divide by 4 each time.

It goes 16,4,1,1/4,1/16, 1/64 and so on

Answer:362

Step-by-step explanation:

You need to multiply

Answer:

126

Step-by-step explanation:

you add them all up and the sides that don't have the number there's already info about it it's like this

18 x 3 + 30 + 24 + 18 = 126

and you don't know how to do 18 x 3 lol it's 54

Answer:

the answer is 880 yards more

Step-by-step explanation:

1 mile is equal to 5280 feet or 1760 yards.

then subtract your two numbers that have the same unit (yards)

1760 yards - 880 yards = 880 yards

Answer:

Area = 12

Step-by-step explanation:

Given

See attachment

Required

Area of [tex]\triangle PQR[/tex]

From the attached image, we have:

[tex]P = (6,10)[/tex]

[tex]Q = (10,8)[/tex]

[tex]R = (6,4)[/tex]

The area is then calculated as:

[tex]A = \frac{1}{2}|(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y1 - x1y3)|[/tex]

So, we have:

[tex]A = \frac{1}{2}|(6*8 - 10*10) + (10*4 - 6*8) + (6*10 - 6*4)|[/tex]

Using a calculator:

[tex]A = \frac{1}{2}|-24|[/tex]

Remove absolute bracket

[tex]A = \frac{1}{2} * 24[/tex]

[tex]A = 12[/tex]

Answer:

 2 1/2 o 10 1/2

Step-by-step explanation:

q podría estar 6.5 unidades a la derecha ... oa la izquierda ... del punto p.

a la derecha: p + q ⇒ -4 + (6 1/2) = 2 1/2

a la izquierda: p - q ⇒ -4 -(6 1/2) = -10 1/2

Answer:

ooo me vengo xd

Step-by-step explanation:

Answer:

3/20 1.5/10 15/100 15%

Step-by-step explanation:

done

Answer:

I think the answer is 15%

Step-by-step explanation:

15%of the marbles are blue.

[tex] \frac{3}{20} \binom{ \times }{ \times } \frac{5}{5} = \frac{15}{100} [/tex]

[tex] \frac{15}{100} = 15\%[/tex]

Answer:

=2

Step-by-step explanation:

Answer:

Positive

Step-by-step explanation:

Two negative numbers, no matter how small or large are always positive when multiplied. Same goes for two positive numbers. If it was positive beforehand that means both numbers were either negative or positive. A percentage of a negative number is still negative and a percentage of a positive number is still positive so the answer won't change.

Answer:

Decreased by 4%

Answer:

z = z

Step-by-step explanation:

first you should combine like terms on the left side of the equation

9z + 7z = 16z

now rewrite

16z-6 = 16z-6

add 6 to both sides

16z = 16z

divide both sides by 16

z = z

Answer:

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Step-by-step explanation:

9z - 6 + 7z = 16z - 6

16z - 6 = 16z - 6

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Answer:

30°

Step-by-step explanation:

[tex] \sin \theta = \frac{1}{2} \\ \\ \sin \theta = \sin 30\degree \\ \\ \theta = 30 \degree[/tex]

Answer:

S

angle S would also be an obtuse angle measuring 118°

corresponding angle

Step-by-step explanation:

Answer:

s.

Step-by-step explanation:

s is a corresponding angle to the 118 angle.

Answer:

x=0

Step-by-step explanation:

add 4 to -1 that gives you 3 and then slide 3 to the other side which gives you 3-3 and that equals 0.

Answer:

(-9, -12)

Step-by-step explanation:

Given the expressions

y=x+3

y=1/3x-5

Equating both expressions;

y = y

x + 3 = 1/3x - 5

x - 1/3x = -5 -3

2/3 x = -8

x/3 = -4

x = -12

Since

y = x+ 3

y = -12 + 3

x = -9

Hence the required solution is (-9, -12)

Answer:

below.

Step-by-step explanation:

408 = 2*2*2*3*17

1032 = 2*2*2*3*43

So the HCF is 2*2*2*3 = 24

24 = 2/1032 + p/408

24 - 2/1032 = p/408

p = (24 - 2/1032) * 408

p = 9791.21 to nearest hundredth.

Answer:

31 r 3

i know

Answer:

Step-by-step explanation:

940 divided by 30

try to fit 30 into 94 as many times possible

30*3 =90 , 94 -90 =4

3 goes on top

4 on the bottom and is join by 0 that you bring down to make 40

try to fit 30 into 40

30*1=30, 40 -30 =10

940/30 = 31 remainder 10

Answer:

that does not make sense ?????????????????????????????????????????

Answer:

answer is D

The difference of the two means is not significant, so the null hypothesis must be accepted.

Answer:

★ The answer is $5

Step-by-step explanation:

Hope you have a great day

Answer:

Step-by-step explanation:

Answer: hi

Step-by-step explanation:

ha lol imma waste your time now

Answer:

the answer is 648 bc when you multiply all the answer one at a time you would get 648

Answer:

C

Step-by-step explanation:

Saw it on a quizlet

Answer:

x = 55

Step-by-step explanation:

Use the property of a parallelogram,

" Opposite interior angles of a parallelogram are equal in measure"

By this property, opposite angles given in the figure will be equal.

(2x + 5)° = 115°

2x = 115 - 5

2x = 110

x = [tex]\frac{110}{2}[/tex]

x = 55

Therefore, x = 55 will be the value.