Find the "explicit" formula, f(n) of this sequence: 2, 5, 12.5, 31.25,...

Answer:

[tex]3\frac{5}{3}[/tex]

Step-by-step explanation:

If you change the original number into an improper fraction, you need something that will be the same as [tex]\frac{14}{3}[/tex]

Answer:

Line segment A

Step-by-step explanation:

The apostrophe symbol represents feet.

1 meter can be converted into 3.28'

Since 5.5' > 3.28', Line segment A is larger

Answer:

The answer would be 3.2, since .2 is equivalent to 1/5 ^^

Answer:

No Solutions

Step-by-step explanation:

Hello!

We can approach this system using the Elimination method. Since the coefficients of the the x terms are the same, we should vertically subtract the two equations.

Since 0 does not equal to -11, there are no solutions to the system.

We can also look at this graphically. The two lines have the same slope but different y-intercepts, meaning that they would be parallel lines with no intersection. If there is no intersection, there are no solutions.

Answer:

5,2,3

Step-by-step explanation:

I don't really know what to say. Im in midd school and I saw this before.................

Answer:

1 1 4 -3

Step-by-step explanation:

since the slope of the graph is one, the answer is one to both

The biggest y is 4

The smallest Y is -3

I THINK NOT SURE

Answer:B

Step-by-step explanation:The negative represents how the debt is in the negatives so it should be B. I hope that helps!

Answer:

6 1/2

Step-by-step explanation:

8 4/10 is rounded to 8 1/2 and 2 1/7 is rounded to just 2

8 1/2 - 2 = 6 1/2

Answer: Divide by -2

Step-by-step explanation: In an equation where you have ab = n, then you divide by a. So then you get b = n/a.

If my answer was helpful, please mark it as brainliest.

Answer:

Divide by -2

Step-by-step explanation:

Since we need to isolate h, we need to do the opposite operation that -2 is doing to h. In this case, -2 is being multiplied by h, and the opposite operation to multiplication is division.

This means that we need to divide both sides by -2.

Answer:

V≈256

Step-by-step explanation:

Given the radius = 4 cm, you can use the formula and come up with the following,

[tex]V=4/3*3*4^3=4/3*64*3 =256*3 /3=256[/tex]≈

Answer:

V=256 cm^3

Step-by-step explanation:

Answer:

1. $4

2. $2

3. $1

4. $30

Step-by-step explanation:

Answer:

1. $4

2. $2

3. $1

4. $30

Step-by-step explanation:

Answer:

5,7, bernie

Step-by-step explanation:

its right bc ik it is lol

Answer:

Option B       1 : 3

Step-by-step explanation:

Volume formulas & definitions:

To solve this problem, we must remember the formulas for volume of each shape:

[tex]V_{cylinder}=\pi r^2h\\V_{cone}=\frac{1}{3} \pi r^2 h[/tex]  where r represents the radius of the circular part of the shape, and h represents the height of the shape (the plural of height is "heights", and the plural of radius is "radii")

So, when the question states that the shapes "have congruent heights and radii" it means that the height of both objects is the same, and the radius of both objects is the same.

Ratios

To find the ratio of the volume of the cone to the volume of the cylinder, we must setup the ratio.  Ratios can be setup as a fraction where the first quantity is the numerator (top of fraction), and the second quantity is the denominator (bottom of the fraction):

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3} \pi r^2 h} {\pi r^2 h}[/tex]

Since the pi, the "r", and the "h" are the same in both the numerator and denominator (and since there is only multiplication & division in the fraction) these common factors can cancel, and reduce the fraction to the following:

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3}} {1}[/tex]

Any number divided by 1 doesn't change, so one-third divided by 1 is still one-third.

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\frac{1}{3}[/tex]

Other representations of ratios

Lastly, we must remember that a ratio an also be written with a colon symbol, where the numerator is written first, and the denominator is written second.

So, the ratio of the volume of the cone to the volume of the cylinder is:

1 : 3

Answer:

2ah + 3√3a, 2,

use this formula^

You'll get the answer

133.3

Answer:

25.5

Step-by-step explanation:

i passed

Answer:

Head Tails

Step-by-step explanation:

I hope this helps:)

Answer: Vertex : Maximum (2, 0)

Rules:

Solve:

x² - 4x + 4

x² - 2(2x) + 2²

(x - 2)²

Into vertex form: a(x - h)² + k

1(x - 2)² + 0

Identify:

vertex : (h, k) = (2, 0)

Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

[tex]\large{\boxed{ \sf x = 1, \ x = 0 }[/tex]

 [tex]\sf \Rightarrow \dfrac{x}{x-2\:}+\:\dfrac{x-1}{x+1}=\:-1[/tex]

[tex]\sf \Rightarrow \dfrac{x(x+1)+(x-1)(x-2)}{(x-2)(x+1)}=\:-1[/tex]

[tex]\sf \Rightarrow \dfrac{x^2+x+x^2-2x-x + 2}{x^2 - 2x + x - 2}=\:-1[/tex]

[tex]\sf \Rightarrow 2x^2-2x+ 2=\:-1(x^2 - 2x + x - 2)[/tex]

[tex]\sf \Rightarrow 2x^2-2x+ 2=\:-x^2 + 2x - x + 2[/tex]

[tex]\sf \Rightarrow 2x^2+x^2 -2x - x+ 2-2=0[/tex]

 [tex]\sf \Rightarrow 3x^2 - 3x = 0[/tex]

 [tex]\sf \Rightarrow 3x(x - 1) = 0[/tex]

 [tex]\sf \Rightarrow 3x = 0 , \ x - 1 = 0[/tex]

 [tex]\sf \Rightarrow x = 0 , \ x =1[/tex]

Answer:

x = 0 or x = 1

Step-by-step explanation:

Given equation:

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

Multiply the two denominators to get the same denominator:

Multiply the numerator of the first fraction by the denominator of the second fraction to get the new numerator of the first fraction.

Multiply the numerator of the second fraction by the denominator of the first fraction to get the new numerator of the second fraction.

[tex]\implies \dfrac{x(x+1)}{(x-2)(x+1)}+\dfrac{(x-2)(x-1)}{(x-2)(x+1)}=-1[/tex]

Add the numerators and keep the denominator so that there is now one fraction:

[tex]\implies \dfrac{x(x+1)+(x-2)(x-1)}{(x-2)(x+1)}=-1[/tex]

Simplify the numerator by expanding the brackets:

[tex]\implies \dfrac{x^2+x+x^2-3x+2}{(x-2)(x+1)}=-1[/tex]

[tex]\implies \dfrac{2x^2-2x+2}{(x-2)(x+1)}=-1[/tex]

Simplify the denominator by expanding the brackets:

[tex]\implies \dfrac{2x^2-2x+2}{x^2-x-2}=-1[/tex]

Multiply both sides by the denominator of the left side:

[tex]\implies 2x^2-2x+2=-1(x^2-x-2)[/tex]

Simplify and move everything to the left side:

[tex]\implies 2x^2-2x+2=-x^2+x+2[/tex]

[tex]\implies 3x^2-3x=0[/tex]

Factor:

[tex]\implies 3x(x-1)=0[/tex]

Therefore:

[tex]\implies 3x=0 \implies x=0[/tex]

[tex]\implies x-1=0 \implies x=1[/tex]

Therefore, x = 0 or x = 1

Answer: $638.40

Step-by-step explanation:

45% converted to a decimal is 0.45

0.45 of $1200 = 0.45* $1200 (of in this case means multiply)

0.45 * $1200= $440

Because they said 11% of remaining salary, we have to do:

$1200-$440=$760

Now 11% converted to a decimal is 0.11

5% converted to a decimal is 0.05

So 0.11+0.05

0.11+0.05= 0.16

Now 0.16 *$760=$121.60

Now we find the remaining amount so we subtract: $760-$121.60= $638.40

So our answer is $638.40 left

Answer:

Tracey has lost $60

Step-by-step explanation:

>Tracey gives $5 every missed class

>She has missed 12 classes

>5(12) is 60

>Tracey owes $60

3 x 4 = 12

12 x 5 = 60 dollars

Answer:

324

Step-by-step explanation:

((7*6) *4) + ((6*5) *4) + (6*6) =?

(42*4) + (30*4) + (6*6) =?

168 + 120 + 36 =?

324 =?

Basically, you need to find the area of all sides and add it up.

Answer:

324 sheets of paper

Stepheet-by-step explanation:

Firstly, brainly allows 1 question per question. So do not try this again.

Lets make the fractions all like terms.

242/4 - 37/4=205/4. Lets now make this a mixed fraction.
By doing 205/4, we find out that 4 goes in less than 51 times.

1. 51  1/4.

2. 11/2 = 66/12.....so 66/12 - 29/12= 37/12. Make it mixed fraction: 3 1/12.

3. 36/5=72/10.      72/10 - 37/10 = 35/10. As a mixed it is 3 1/2

4. 35/3 - 17/2 can be rewritten by finding their GCM (Greatest Common Multiple). In this case it is 6.

70/6 - 51/6 = 19/6. 3 1/6.

#LearnWithBrainly, get Verified Answers

Answer: 4 yards

Step-by-step explanation: The formula for the volume of a cylinder is Pi * Radius squared * height.

If the end result is 256pi, and the height is 16, then the radius must be 4, because 4^2 = 16, and 16*16 = 256, and 256*pi = 256pi.

Please mark as brainliest if this was helpful.

Answer:

r = 4yd (Answer A)

Step-by-step explanation:

The volume of a cylinder of radius r and height h is V = πr²h, and the applicable V value here is 256π yd³.  We divide this by 16 yd to find the area of the base:  16π yd².

The base is a circle of radius r, which is to be determined:

πr² = 16π yd²

This reduces to r² = 16 yd², and so r = 4yd (Answer A)

Answer:

B or C It depends on the definition of opposite sides

Step-by-step explanation:

Perpendicular lines bisect eachother. Parallel lines would never touch eachother.

Answer:

the second option from the top is correct. (the one with the dot on -4)

Step-by-step explanation:

d/-2 + 5 = 7

d/-2 = 7 - 5

d/-2 = 2

d = 2 * -2

d = -4

Answer:

Option 2, d = -4

Step-by-step explanation:

d/-2 + 5 = 7 (subtract 5 from both sides)

d/-2 = 2 (multiply by -2 to both sides)

d = -4

Option 2 is correct.

Brainliest, please :)