What is the length of side a? Round to the nearest tenth of an inch. Enter your answer in the box.

Answer:

[tex]a_n = 8(-5)^{n-1}[/tex]

The fifth term of the sequence is 5000.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio. The nth term of a geometric sequence is:

[tex]a_n = a_1(r)^{n-1}[/tex]

a = 8; r = -5

Thus:

[tex]a_n = a_1(r)^{n-1}[/tex]

[tex]a_n = 8(-5)^{n-1}[/tex]

Fifth term:

This is [tex]a_5[/tex]. So

[tex]a_5 = 8(-5)^{5-1} = 5000[/tex]

The fifth term of the sequence is 5000.

Answer:

75.7m^2

Step-by-step explanation:

[tex] \frac{30}{360} \times \pi {r}^{2} \\ \frac{30}{360} \times \frac{22}{7} \times {17}^{2} \\ \frac{1}{12} \times \frac{22}{7} \times 289 \\ 75.6904761905 = 75.7[/tex]

Mean = 24.47

Variance = 108.31

Standard deviation = 10.41

The probability distribution table has been attached to this response.

(1) To calculate the mean (m)

(a) First multiply each of the values of x by their corresponding probability values.

This is shown in the third column of the table.

(b) The sum of the results in the third column gives the mean of the distribution. i.e

m = ∑xP(x) = 11.52 + 9.36 + 3.15 + 0.44

m = 24.47

(2) To calculate the variance (σ²).

(a) First find the square of the difference between the values of x and the mean (m) calculated in (1b) above. i.e

(x - m)²

The result is shown in the fourth column of the table.

(b) Next, multiply each of the results in the fourth column (x - m)², by their corresponding probability values P(X = x). i.e

(x - m)²(P(X = x))

The result is shown in the fifth column of the table.

(c) Now find the variance (σ²) which is the sum of the results in the fifth column. i.e

σ² = ∑(x - m)²(P(X = x)) = 42.5411 + 0.8427 + 18.8330 + 46.0923

σ² = 108.3091

σ² = 108.31      [to 2 decimal places]

(3) To calculate the standard deviation (σ)

The standard deviation is the square root of the variance of the distribution. Calculate this by finding the square root of the result in (2c) above.

σ = √σ²

σ = [tex]\sqrt{108.31}[/tex]

σ = 10.4072

σ = 10.41        [to 2 decimal places]

Answer:

8,6,3, v= 144

4,8,6, v=192

15,10,6, v=900

Step-by-step explanation:

Answer:

This geometric questions are very very simple let's start to solve all steps

Step-by-step explanation:

L means long of Prism and look at 8 and 6 for first prism. Which one is longest of course 8

w means wide =6

h means high=3 and

V means Volume: You must multiply by 3, 6,8 to find volume, so we can say Volume 3*6*8=144 easily

Answer:

x= - 18/7 - 1/7y, y

or if you are solving for y= -18-7x, x

( SEE OTHER IMAGE)

Step-by-step explanation:

See image below:)

Answer:

[tex]x= \frac{- 18 - y }{7}[/tex]

y = - 18 - 7x

Step-by-step explanation:

7x + y = - 18

7x + y - y = - 18 - y

7x = - 18 - y

[tex]\frac{7x}{7}= \frac{- 18 - y }{7}[/tex]

[tex]x= \frac{- 18 - y }{7}[/tex]

7x + y = - 18

7x - 7x + y = - 18 - 7x

y = - 18 - 7x

Answer:

It is one-half the area of a rectangle with sides 6 units × 2 units

Step-by-step explanation:

area of the triangle is 6

base = 6

height = 2

so are is 6 x 2 / 2

Answer:did this a few months ago this answer is

It is one-half the area of a rectangle with sides 6 units × 2 units.

Step-by-step explanation:

like the person up there

Answer:

π/2 + n*π

Step-by-step explanation:

All real numbers except π/2 + n*π

Answer:

Step-by-step explanation:

For some problems, stating the domain actually means to identify what x CANNOT be as opposed to what x IS. This occurs with tangent and cotangent functions along with rational functions.

As far as the tangent function goes, look at your unit circle. Your unit circle gives you 2 values for each angle, the first value reflects the cosine of the angle and the second value reflects the sine of the angle. This is because cosine is directly related to the x values and sine is directly related to the y values; cos goes into the "x" position and sin goes into the "y" position inside the brackets just like x and y go into parenthesis for coordinates. Anyway, a ratio is undefined if the denominator equals 0, right? And since tangent is the same as sin/cos, tangent is undefined when cos is 0. This occurs at [tex]\frac{\pi}{2}+k\pi[/tex] . That means that tangent does NOT exist at pi over 2 and every integer of pi you add in after. Let's look at a couple of examples of how that domain "works". Adding in an integer means adding in 1, 2, 3, etc. If the domain of tangent is undefined at [tex]\frac{\pi}{2}+k\pi[/tex], then let's let k = 1, and

[tex]\frac{\pi}{2}+1\pi=\frac{\pi}{2}+\frac{2\pi}{2}=\frac{3\pi}{2}[/tex] . Now let k = 2:

[tex]\frac{\pi}{2}+2\pi=\frac{\pi}{2}+\frac{4\pi}{2}=\frac{5\pi}{2}[/tex]. Now let k = 3:

[tex]\frac{\pi}{2}+ 3\pi=\frac{\pi}{2}+\frac{6\pi}{2}=\frac{7\pi}{2}[/tex]. And it continues like that.

You can see when you graph the tangent function in radian mode on your calculator that these values where tangent is undefined show up as asymptotes. Use your unit circle and your graphs to determine the domain of trig functions.

9514 1404 393

Answer:

 x = {-4.4, +2.9}

Step-by-step explanation:

We assume you want to solve ...

  2x^2 +3x -41 = -15

Adding 41 and factoring out the leading coefficient gives ...

  2(x^2 +3/2x) = 26

Dividing by 2 makes it ...

  x^2 +3/2x = 13

We can add the square of half the x-coefficient to "complete the square."

  x^2 +3/2x +(3/4)^2 = 13 +(3/4)^2

  (x +3/4)^2 = 13.5625 . . . . write the left side as a square

  x +3/4 = ±√13.5625 . . . . . take the square root

  x = -0.75 ±3.683 = {-4.433, +2.933} . . . . subtract 3/4 and evaluate

The solutions are approximately x = -4.4 and x = 2.9.

Answer:

Step-by-step explanation:

1.4 m = 1.4 * 100 = 140.0  = 140 cm

Answer:

SAS

Step-by-step explanation:

AC ≅ EC (Given), ∠ACB ≅∠ECD ( Vertical Angles), and BC ≅ DC

Answer:

90.25πm^2

Step-by-step explanation:

circumference = 2 pie r

then , 19 pie meter = 2 pie r

so radius r = 19 /2 m

therefore ,

area of circle = pie r ^ 2

= 90.25 pie meter square

Answer:

circle circumference formula is 2 pi R

and area of circle pi R ²

19 pi is 2×9.5×pi

so the radius is 9.5

and area is pi 9.5² m² = 90,25 pi m²

Answer:

square pyramid...........

Answer:

SQUARE PYRAMID

Step-by-step explanation:

Answer:

1) the planning value for the population standard deviation is 10,000

2)

a) Margin of error E = 500, n = 1536.64 ≈ 1537

b) Margin of error E = 200, n = 9604

c) Margin of error E = 100, n = 38416

3)

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

Hence, I will not recommend trying to obtain the $100 margin of error in the present case.

Step-by-step explanation:

Given the data in the question;

1) Planning Value for the population standard deviation will be;

⇒ ( 50,000 - 10,000 ) / 4

= 40,000 / 4

σ = 10,000

Hence, the planning value for the population standard deviation is 10,000

2) how large a sample should be taken if the desired margin of error is;

we know that, n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²

given that confidence level = 95%, so [tex]z_{\alpha /2[/tex]  = 1.96

Now,

a) Margin of error E = 500

n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 500 ]²

n = [ 19600 / 500 ]²

n = 1536.64 ≈ 1537

b) Margin of error E = 200

n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 200 ]²

n = [ 19600 / 200 ]²

n = 9604

c)  Margin of error E = 100

n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 100 ]²

n = [ 19600 / 100 ]²

n = 38416

3) Would you recommend trying to obtain the $100 margin of error?

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

Hence, I will not recommend trying to obtain the $100 margin of error in the present case.

Answer:

3q + 2p =

Step-by-step explanation:

Perimeter refers to the outside lines only so hence, 3q + 2p =

Answer:

I think. . . sphere? SO SORRY IF IM WRONG!!

Step-by-step explanation:

Answer:

a = 18

b = 3

hope it helps

have a nice day

9514 1404 393

Answer:

  (c)  10 -N = 8 +N

Step-by-step explanation:

The difference between 10 and a number is (10 -N).

The sum of 8 and a number is (8 +N).

In this context, "is" means "equals," so we have ...

  10 -N = 8 +N

Answer:

0.

Step-by-step explanation:

I am assuming you want to evaluate

(sin10+cos10)²(1-sin20)-cos²20

That evaluates to 0.

Answer:

3/10

Step-by-step explanation:

If we have two points on a line, we can find the slope using the slope formula

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

   = ( -1 - -4)/( 5 - -5)

   = ( -1 +4)/ ( 5 + 5)

  = 3/10

Answer:

2/3

Step-by-step explanation:

P ( 8 or more) = number that are 8 or more) / total

                        = (6+4) / ( 2+3+6+4)

                         = 10/15

                          =2/3

Answer:

Yes they can type about 130 each minute

Step-by-step explanation:

I learned this in a book

Answer:

the person can type

80 wpm

Answer:

The answer is D. 22 square feet

Answer:

D

Step-by-step explanation:

3(2) + 8(2) = 22 sq ft

Answer:

x = -3

Step-by-step explanation:

2x – 3(x + 8) = -21

Distribute

2x - 3x - 24 = -21

Combine like terms

-x - 24 = -21

Add 24 to both sides

-x = 3

Multiply both sides by -1

x = -3

Answer:

32

Step-by-step explanation:

40 = 100%

how many are 80% ?

well, 80% = 80× 1%

1% = 100% / 100

so, in our case

80% = 80×40/100 = 8×4 = 32

as a shortcut you consider a percentage x as a ratio factor of x/100 you multiply the 100% number with.

in our case

80% = 40 × 80/100 = 32

Answer:

-24 feet

Step-by-step explanation:

Boat is 4 feet above sea level => +4 feet

She descends 28 feet => -28 feet

Position = +4-28 = -24 feet

Therefore,

Gemma is 24 feet below the sea level

Answer:

-24 feet

Step-by-step explanation:

Because she is 4 feet above sea level, she can descend 4 feet to be at sea level. Now she only has to descend 24 feet below sea level, which is -24 feet.

Answer:

A and D

Step-by-step explanation:

Total ice cream bars sold = sum of chocolate sold , vanilla and strawberry ice-creams sold.

=(1/2)x2 + (6/11)x + 8 + (5/9)x2 + (2/3) +(1/3)x2 + 4x +(4/3) (Given in the question)

=(25/18)x2 + (50/11)x + 10 (Adding terms corresponding to x2,x ,constant respectively)

Difference in chocolate and strawberry bars =[ (1/2)x2 + (6/11)x + 8] - [(1/3)x2 + 4x +(4/3)]

= (1/6)x2 - (38/11)x +(20/3)

So, the correct options are A and D

closer to, shorter, longer.  (T=A^1.5

just took the assigniment.

Answer:

So, their orbital periods are than Earth's orbit. The further a planet is from the sun, the its orbit is.

Step-by-step explanation:

Even though Venus is farther from the sun than mercury, Venus's surface is hotter than Mercury's because Venus has a carbon dioxide atmosphere that traps the sun's heat.

Answer:

yeah dude they might of. First look around everywhere in ur room before accusing them.

Step-by-step explanation:

good luck

Answer:

[tex]y=\frac{4}{3}x-4[/tex]

Step-by-step explanation:

----------------------------------------

The slope-intercept form formula is: [tex]y=mx+b[/tex]

The [tex]m[/tex] stands for the slope and the [tex]b[/tex] stands for the y-intercept.

By looking at the graph, I can figure out that the y-intercept is -4 because y-intercept is where the lines cross the y-axis and in this graph, the line crosses the y-axis at (0,-4).

The slope is [tex]\frac{4}{3}[/tex] because to get to the ordered pair (3,0), from (0,-4), you would have to go up 4 and over 3 to the right so it's [tex]\frac{4}{3}[/tex]

So now, if we insert the values in the formula, it would be [tex]y=\frac{4}{3}x-4[/tex]

----------------------------------------

Hope this is helpful.

Answer:

y = 4/3x -4

Step-by-step explanation:

First find the slope

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

    = ( 0 -  -4)/( 3 - 0)

   = (0+4)/( 3-0)

   = 4/3

The y intercept is -4

The slope intercept form of the equation is

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

y = 4/3x -4