Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

Answer:

  True

Step-by-step explanation:

Subtracting a number is identical to adding its opposite.

  -2 -5 = -2 +(-5)

The statement is True.

_____

If you doubt this, you can have your calculator tell you what the answers are.

Answer:

14x + 10

Step-by-step explanation:

distribute and add

Answer:

the first one

Step-by-step explanation:

7 - (-5) - 1 = 7 + 5 - 1 = 11

3 + 9 - 18 = -6

4 + (-14) - 5 = 4 - 14 - 5 = -15

8 - 12 - (-4) = 8 - 12 + 4 = 0

Answer:

Perimeter of A'B'C'D' = 9 units

Step-by-step explanation:

Given:

Perimeter of ABCD = 27 units

Scale factor = 1 / 3

Find:

Perimeter of A'B'C'D'

Computation:

Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]

Perimeter of A'B'C'D' = 1/3[27]

Perimeter of A'B'C'D' = 9 units

Answer:

Step-by-step explanation:

y + 2 = 5x - 15

y = 5x - 17

slope is 5

Answer:

pretty sure its A n B = {1,5}

Step-by-step explanation:

Answer:

Step-by-step explanation:

Were you given answer choices?  If so, please share them when you post your question.

The best way to improve the experimental probability would be to flip the coin more than 20 times; the more this is done, the better the estimate will be.

Answer:

you want a specific place as an answer? or the mileage?

Answer:

y = 5

Step-by-step explanation:

14y + 36 = 106. subtract 36 from both sides, so now the equation is 14y = 70 because 36 is cancelled out. now divide both 14y and 70 by 14, which leaves you with y = 5

We are going to do a proportion with the effective number and the percentage

42% of 850 are women

42 : 100 = x : 850

x = (850 * 42)/100 = 357

The women were 357

Answer:

[tex] \frac{42}{100} \times 850 = 357womens[/tex]

Answer:

Donna is correct

Step-by-step explanation:

Since every number that is a multiple of 5 is 5 times a number, it means that that number can be divided by 5 and result in the other number that produced it. Meaning there is no remainder.

Answer:

2

Step-by-step explanation:

Hello, let's note [tex](a_n)[/tex] this sequence and r the ratio, we can write

[tex]a_n=a_0r^n[/tex]

With [tex]a_0[/tex] different from 0 and then

[tex]a_{11}=32a_6<=>a_or^{11}=32a_0r^6<=>r^{11-6}=32=2^5<=>r^5=2^5<=>r=2[/tex]

Thanks

Answer:

x = 5

Step-by-step explanation:

Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:

AB + BC = AC

Now, using the given values, we can substitute in for the equation and solve for x:

AB + BC = AC

9 + 2x - 5 = x + 9

2x + 4 = x + 9

x = 5

Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.

Cheers.

Answer:

x=5

Step-by-step explanation:

AB + BC = AC

9+ 2x-5 = x+9

Combine like terms

2x+4 = x+9

Subtract x from each side

2x+4-x = x+9-x

x+4 = 9

Subtract 4 from each side

x+4-4 = 9-4

x=5

Answer:

cm3,m3 etc...

Step-by-step explanation:

SInce 3D objects are solids and are different than 2D measurements,we use the measurement Centimeters "Cubed".You may ask what do you multiply to get the volume of a solid?Well the way i was taught was Length * Width * Height.(Stars mean Multiplication)

e.g. Lets say you have a cube,the length is 3,width is 3,height is 4 this is how it looks like

V=L x W x H

=3 x 3 x 4

=36 cm3

That's how Volume is calculated

Answer:

D.) 38.6 m

Step-by-step explanation:

Use the cosine ratio:

[tex]cosine=\frac{adjacent}{hypotenuse}[/tex]

Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:

[tex]cos75=\frac{10}{x}[/tex]

Now isolate the variable. Multiply both sides by x:

[tex]x(cos75)=x(\frac{10}{x} )[/tex]

The x's on the right side cancel each other out. Simplify:

[tex]x*cos75=10[/tex]

Now divide both sides by cos75°:

[tex]\frac{x*cos75}{cos75} =\frac{10}{cos75}[/tex]

The cos75° on the left side cancels each other. Simplify:

[tex]x=\frac{10}{cos75}[/tex]

Insert this value into a calculator to simplify the value of x:

[tex]x=38.6[/tex]

The hypotenuse is 38.6 m.

:Done

Answer:

D) 38.6

Step-by-step explanation:

just took the test

Answer:

48cm by 27cm

Step-by-step explanation:

[tex] \frac{48}{27} = \frac{48 \div 3}{27 \div 3} = \frac{16}{9} [/tex]

Step-by-step explanation:

x+5x=180

6x=180

x=30

and 5x=150

Answer:

Solution given:

let angle be a and 5x

since sum of two angles are supplement

so

equation becomes

a+5a=180

now

solving it

6a=180

a=180/6

a=30

and 5a=5×30=150

required angles are 50 and 130.

Answer:

87

Step-by-step explanation:

start with the innermost parenthesis first

{4+3*[5+3*(8)]-4}

order of operations: multiply before you add

{4+3*[5+24]-4}

{4+3*[29]-4}

order of operations: multiply before you subtract

{4+87-4}

solve left to right

{91-4}

87

Answer:

B

Step-by-step explanation:

Answer:

aₙ = 40*(1/2)ⁿ⁻¹

Step-by-step explanation:

As per graph we have:

So the first term is 40 and common ratio is

Formula for nth term is:

Answer:

-1/20

Step-by-step explanation:

r/2 + s/r - r/4 + 1/5 =

= -1/2 + 0/(-1) - (-1)/4 + 1/5

= -1/2 + 1/4 + 1/5

= -10/20 + 5/20 + 4/20

= -5/20 + 4/20

= -1/20

Step-by-step explanation:

Hey, there!!

C = {6,8}

n(C) means cardinality of set.

We define cardinality of set as the no. of elements present in set.

It contains 2 no. of elements.

so, its cardinality is n(C) is 2.

Hope it helps...

Answer:

Step-by-step explanation:

3/8 x 5/5 = 15/40

7/10 x 4/4 = 28/40

15/40, 28/40

The least common denominator of the two pairs of fractions is 15/40 are 28/40. which is the correct answer would be an option (A).

The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

We have to determine the least common denominator of the two pairs of fractions.

The fractions are 3/8, and 7/10

⇒ 3/8

Multiply by 5/5 in the fraction,

⇒ 3/8 × 5/5 = 15/40

⇒ 7/10

Multiply by 4/4 in the fraction,

⇒ 7/10 × 4/4 = 28/40

Therefore, the least common denominator of the two pairs of fractions is 15/40 are 28/40

Learn more about the least common denominator here:

brainly.com/question/8413590

#SPJ2

Answer:

Step-by-step explanation:

The symbols of interest here are ...

  ∪ -- union. Everything that is in either of the sets.

  ∩ -- intersection. Everything that is in both of the sets.

  superscript C -- complement. Everything that is not in the set. An apostrophe (') can also be used to signify the complement.

__

(a) A∩B∩C'

In the first attachment, set A is all of the sections marked 2, 3, 5, 6. Set B is all of the sections marked 3, 4, 5, 7. The sections in both sets are where the circles for A and B overlap:

  A∩B = {3, 5}

The sections that are not in set C are 1, 2, 3, 4. So, the one section that is in A∩B, but outside C is section 3.

The checked section is shown in the second attachment.

__

(b) A'∩B∩C

In the first attachment, set A' is all of the sections marked 1, 4, 7, 8. These are all of the sections not in set A. The ones of these that are also in set B are 4 and 7. And the one of these that is also in set C is section 7.

The checked section is shown in the third attachment.

Answer:

hi

Step-by-step explanation:

Answer:

18 paperclips are in the pile!

Step-by-step explanation:

We know that a dozen paperclips are equal to 9.6g, so we are going to divide 9.6 by 12 to figure out how much each paperclip weighs (0.8g). So we then divide 14.4 by 0.8 to figure out how many paperclips are in the pile! Hope this helps!

Answer:

6

Step-by-step explanation:

 That would be:

      3                    6

     ----                -------

      2                     4

----------------  = -------------- = 6    This is the unit rate.

      1                       1

    -----                  ------

       4                      4

Answer:

6

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

Given:

Area of pizza = 78.5 in²

To find:

Minimum width of placement to be placed underneath the pizza so that it does not touch the table?

Solution:

We are actually required to find out the diameter of the circular pizza here.

That will be the minimum width of the placement to be placed underneath the pizza so that pizza does not touch the table.

Let us have a look at the formula of area of a circle.

[tex]A=\pi r^2[/tex]

Where [tex]r[/tex] is the radius of the circle

We are given that

[tex]A = 78.5\ in^2[/tex]

[tex]\Rightarrow 78.5 = \pi r^2\\\Rightarrow 78.5 = 3.14\times r^2\\\Rightarrow \dfrac{78.5}{3.14} = r^2\\\Rightarrow r^2=25\\\Rightarrow r =5\ in[/tex]

Now, we know that the diameter is given as twice of the radius.

So, minimum width required = Diameter = 2 [tex]\times[/tex] 5 = 10 inches