A fortnight is 1/26 of a year. What part of a year is 8 fortnights?

===================================================

Explanation:

Convert the mixed number 3 & 2/3 to an improper fraction

3 & 2/3 = 3 + 2/3

3 & 2/3 = 9/3 + 2/3

3 & 2/3 = (9+2)/3

3 & 2/3 = 11/3

The prism has a base area of 9 square units and a height of 11/3 units.

Multiply the base area by the height to get the volume

volume = (base area)*(height)

volume = (9)*(11/3)

volume = 99/3

volume = 33 cubic units

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

You could choose to not convert to an improper fraction, and your steps may look like this

volume = (base area)*(height)

volume = (9)*(3 + 2/3)

volume = 9*3 + 9*(2/3) .... distribute

volume = 27 + 18/3

volume = 27 + 6

volume = 33 cubic units

Either way we get the same volume.

Answer:

A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at negative 0.5 and is pointing to the left.

Step-by-step explanation:

Required

[tex]2x - 6 \geq 6(x - 2) + 8[/tex]

Required

Determine the number line

[tex]2x - 6 \geq 6(x - 2) + 8[/tex]

Open the bracket

[tex]2x - 6 \geq 6*x - 6*2 + 8[/tex]

[tex]2x - 6 \geq 6x - 12 + 8[/tex]

[tex]2x - 6 \geq 6x - 4[/tex]

Collect Like Terms

[tex]2x - 6x \geq 6 - 4[/tex]

[tex]- 4x \geq 2[/tex]

Divide both sides by -4

[tex]\frac{- 4x}{-4} \geq \frac{2}{-4}[/tex]

[tex]x \leq -0.5[/tex]

From the list of given options, the correct answer is option C

Answer:

b

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Imagine our window has 4 panes (picture below)

Let T be the total number of panes:

There are 12 windows at total.

●T = 4×12

Notice that:

● 4 = 2×2

● 12 = 4×3 = 2×2×3

● T = 2×2×2×2×3 = 2^4×3

Answer:

Below in bold.

Step-by-step explanation:

Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of  this point from the directrix. So:

√(( x - 2)^2 + (y - 3)^2) = y - (-1)

Squaring both sides:

(x - 2)^2 + (y - 3)^2 = (y + 1)^2

x^2 - 4x + 4 + y^2 - 6y + 9  = y^2 + 2y + 1

x^2 - 4x  + 4 + 9 - 1 = 2y + 6y

8y = x^2 - 4x + 12

y = 1/8(x^2 - 4x + 12)

or we can write it as

y = 1/8x^2 - 1/2 x + 3/2.

Answer:

3x^2 +x -3

Step-by-step explanation:

f(x)= 3 and g(x) = 3x^2+x-6

f+g (x) =  3+  3x^2+x-6

Combine like terms

          = 3x^2 +x -3

Answer:

-f(3x - 1) + 2 = -18x² + 12x + 1

Step-by-step explanation:

Step 1: Find f(3x - 1)

f(3x - 1) = 2(3x - 1)² - 1

f(3x - 1) = 2(9x² - 6x + 1) - 1

f(3x - 1) = 18x² - 12x + 2 - 1

f(3x - 1) = 18x² - 12x + 1

Step 2: Plug in f(3x - 1)

-(18x² - 12x + 1) + 2

Step 3: Evaluate

-18x² + 12x - 1 + 2

-f(3x - 1) + 2 = -18x² + 12x + 1

Answer:

  216°

Step-by-step explanation:

The ratio of the sum of smallest and largest to the total of all angles is ...

  (9 +15)/(9 +10 +12 +14 +15) = 24/60 = 0.4

__

The total of all angles in an n-gon is 180°(n -2), so the total of all angles in a pentagon is ...

  180°(5 -2) = 540°

Then the sum of smallest and largest angles is ...

  0.4(540°) = 216°

Answer:

8.4 × 10^6

Step-by-step explanation:

Use floating-point system in which numbers are expressed as products consisting of a number between 1 and 10 multiplied by an appropriate power of 10 (as in 1.591 × 10−20)

Hope this helps <3

Answer:

0, 5, 9

Step-by-step explanation:

g(x) = 2x (x - 5)^2(x – 9) = 0

x = 0 or x - 5 = 0 or x - 9 = 0

x = 0 or x = 5 or x = 9

Correct option is Option B: The standard deviation is a better measure of spread for movies than it is for basketball games.

Visual analysis for movies:

Movies data is more centric to mean and not skewed on a particular side.

Visual analysis for Basketball games:

Basketball games data is not centric to mean but is skewed or say more dense in right then left.

Property of standard deviation and its limitation:

Standard deviation just measures the deviation or spread with respect to mean of collected data. It is non- sensible for skewness of the data and thus more information is needed in such case.

Property of IQR and its limitation:

IQR is interquartile range. IQR generally is less powerful than standard deviation, but more powerful if the data is skewed and its variability has to be measured. It measures the range or say difference between [tex]Q_3 \: and \: Q_1[/tex]

In the movies data, the data is more collected and barely visible to be skewed. Thus standard deviation is best suited for this dataset.

In the basketball data, the standard deviation will fail to give good information about the data. The IQR, is better here since we've to measure variability or dispersion of data which is skewed.

Thus, option B: The standard deviation is a better measure of spread for movies than it is for basketball games; is correct option.

Learn more here:

https://brainly.com/question/12402189

Answer:

r = 0.046212737

Step-by-step explanation:

A = 14,400 (what your investment originally is)

P = 7,200 (what you want your investment to be)

n = 365 (interest is compounded daily)

t = 15 (15 years)

Plug all of these numbers into the equation, then solve for r

14,400 = 7,200(1 + r/365)^365 · 15

Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15

365 · 15 = 5475 --> 2 = (1 + r/365)^5475

5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)

(5475√(2)) - 1 = r/365 (subtract one from both sides)

((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)

Type the left side into the calculator to get r --> 0.046212737.

Hope this helps!

Answer:

Hey there!

Today is August 7th, 2020.

Thus, August 20th is in 13 days.

If you have 47 assignments, you would have to do 3-4 a day to finish on time.

Hope this helps :) And good luck with your assignments.

Answer:

You have to do about 3 and a half assements a day.

Step-by-step explanation:

Just do 47 divides by 20 but since it is the 7th do 47 divides by 13

Have a nice day!

Answer:

x = 16

Step-by-step explanation:

3x - 10 = 2(x+3)

First step is solve this:

2(x+3) = 2*x + 2*3 = 2x + 6

then:

3x - 10 = 2x + 6

3x - 2x = 6 + 10

x = 16

Check:

3*16 - 10 = 2(16+3)

48 - 10 = 2*19 = 38

Answer:

x = 16

Step-by-step explanation:

you start off by isolating the variable

============================================

Explanation:

The fractions 2/3, 1/6 and 1/9 have the denominators 3, 6 and 9. The LCM is 18, so the LCD of the fractions is 18.

2/3 = 12/18 after multiplying top and bottom by 6

1/6 = 3/18 after multiplying top and bottom by 3

1/9 = 2/18 after multiplying top and bottom by 2

--------

The three original fractions 2/3, 1/6, and 1/9 are equivalent to 12/18, 3/18, and 2/18 in that exact order.

With the fractions all having the same denominator, we can add the numerators to place over the common denominator

12/18 + 3/18 + 2/18 = (12+3+2)/18 = 17/18

--------

After combining all of the shaded areas, we have 17/18 of the circle shaded in with 1/18 of the circle not shaded in.

You subtract 17/18 from 1 to get 1/18

1 - (17/18) = 18/18 - 17/18 = (18-17)/18 = 1/18

You could think of it like having 18 slices of cake total, and 17 are eaten by guests, so 18-17 = 1 is left over out of the 18 overall. So 1/18 of the cake hasn't been eaten.

The required fraction is 1/18, that is not covered.

A fraction is a numeral that represents a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

In the given spinner,

2/3 part is covered,

1/6 part is covered,

and 1/9 part is covered.

To determine the fraction of the portion that is not covered,

Let the not covered portion is x.

Since, Total value of circle = 1

2/3 + 1/6 + 1/9 + x = 1

(4 + 1)/6 + 1/9 + x = 1

5 / 6 + 1/9 + x = 1

(15 + 2) / 18 + x = 1

17/18 + x = 1

x = 1 - 17 / 18

x = 1 / 18

The portion of the circle that is not covered is 1/18.

To know more about Fraction on:

https://brainly.com/question/10708469

#SPJ3

Answer:

The approximate distance from Panthersville to Falconton is: B: 4.61 miles.

Step-by-step explanation:

Objective: Find the distance from Panthersville to Falconton. (Which is just half of the distance from Panthersville to Heel City because Falconton is the midpoint between both cities.)

First we need to find the distances from Panthersville to Heel City, which we are given the coordinates. ( Panthersville (-3,2) & Heel City (4, 8) )

-To find the distance between the two cities we use the distance formula:

d= √(x2 - x1) ^2 + (y2 - y1)^2 , so we set (-3,2) as x1 and y1 while (4,8) x2 and y2 and we just plug it in.

Once we plug it in we get:

d= √(4 - -3)^2 + (8 - 2) ^2

Then we solve the numbers in the parenthesis  (4 - -3) = 7 and (8 - 2) = 6 so now we have:

d= √(7)^2 + (6) ^2

Next we solve for the exponents  (7)^2 = (7 x 7 = 49) and (6)^2 = ( 6 x 6= 36) now it look like this:

d= √49 + 36

After that we just add both numbers together (49 + 36) = 85

d= √85

Now all we have to do is square root 85 which is just 9.219544457, just round it to the nearest hundredth and you will get 9.22.

So the distance from Panthersville to Heel City is about 9.22 miles.

Now we found the full distance we now need to find the distance from  Panthersville to Falconton which is just half of that distance due to   Falconton being the midpoint.  

All we have to do is divide 9.22 by 2 and we get 4.61.

The distance from Panthersville to Falconton is 4.61 miles.

Answer:

x=-2       x=-1

Step-by-step explanation:

f(x)=x² +3x+2

Set the function equal to zero

0=x² +3x+2

Factor

What 2 numbers multiply to 2 and add to 3

2*1 = 2

2+1 = 3

0 = ( x+2) (x+1)

Using the zero product property

x+2 =0   x+1 =0

x=-2       x=-1

Answer:

201

Step-by-step explanation:

use the law of sines

sine B / b = sine C / c

sine 75 / 19.6 = sine C / 12.5

inv sine C = ( sine 75 * 12.5 ) / 19.6

C = 38

the bearing C = 180 + 59 - 38 = 201

Answer:

196π or 615.75 m^3 to the nearest hundredth.

Step-by-step explanation:

This is a cone, so:

Volume = 1/3 π r^2 h

= 1/3  * π * 14^2 * 3

= 196π m^3.

Answer:

$116.06

Step-by-step explanation:

48.97 + 67.09 = 116.06

Answer:

$116,06

Step-by-step explanation:

48,97 + 67,09

Answer:

B. 13.7 cm^2

Step-by-step explanation:

To find the height of any parallelogram, you must multiply the base x height.

The base is 1.9 cm. The height is 7.2 cm.

A = bh

A = (1.9)(7.2)

A = 13.68

13.7 is the closest answer we can get if we can round, but it really should be 13.68 cm^2.

Answer:

B. 13.7

Step-by-step explanation:

A = bh

A = 1.9*7.2

A = 13.68

(13.68 rounds up to 13.7)

Answer:

Given : Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916

To find : What reasons might sherelle give for saying that the 1916 coin is most likely in her bag?

What reasons might venita give for saying that the 1916 coin is most likely in her bag?

Solution:

Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72

arranging in order

26, 39,  56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72 , 73, 74, 75, 81, 83, 84, 85  

Median = (68 + 71)/2 = 69.5

Q1 = 61

Q3 = 74.5

IQR = 13.5

Sherelle claims  that she has 26  which is closer to 16 hence her chances are more.

Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62

arranging in order

44, 45, 51, 51, 53, 53, 55, 57, 58, 62 ,65, 66, 69, 69, 70, 73, 75, 77, 78, 79

Median =  63.5

Q1 = 53

Q3 = 71.5

IQR = 18.5

IQR of Venita is High

so there are more chances that Sherelle will be having higher spread hence chances of having 16 in data Set is More

If Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

It is a branch of mathematics that deals with the occurrence of a random event.

Sherelle might say that she remembers seeing an old coin in her bag earlier and that she rarely removes things from her bag.

She might also argue that she has not used her bag as frequently as Venita, so the coin is more likely to be in her bag.

Venita might argue that she has used her bag more frequently than Sherelle, so the coin is more likely to be in her bag.

She might also say that she has checked her bag multiple times and has not seen the coin, so it must be in Sherelle's bag.

if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

On the other hand, if the coin was recently added to one of the bags, then Venita's bag could also be a likely candidate.

Hence, if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ3

Answer: I dont know if this is right but the is 8 Ive never done this before.

Step-by-step explanation:

1 =

4 =

1 =

4 =

r− 5 ⋅ 2 = 1 = r = 11

8 = r = 11

Answer:

Below

Step-by-step explanation:

Notice that 81 = 9 * 9

So here is the first expression:

● 9^2

9 is 3^2 so 9^2 is 3^4

That's another expression

● 3^4

81 = 9*9 = 3*3*3*3 = 3^3 *3

That's another expression

● 3*3^3

You can keep manipulating the product and create many expressions like:

● 3^2 * 3^2

● 9 * 3^2

Answer:

1) 4^3

2) x^6 + 2

Step-by-step explanation:

1) 4 is the main number.

Then, however many fours there are is the exponent

( there are 3 fours )

2) x is the main variable

Then however many x's there are, that number will be your exponent

( there are 6 x's )

Answer:

Step-by-step explanation:

1) 4 ∙ 4 ∙ 4 is equivalent to 4^3:  4 is the base and 3 is the final exponent of this base.

2)  x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 * needs clarification.  What do you mean by "  2 * ?"

x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 *  could be rewritten as x ∙ x ∙ x ∙ x ∙ x ∙ x      +      2, which is equivalent to x^6 + 2.  If you're still interested in solving this problem, please double check to ensure that you have copied it down correctly.  Thank you.

Answer:

1. duck will travel in still water paddles 4 yards = 38,7 sec

up stream speed = 0,63 mph

down stream speed = 0,68 mph

Answer:

D) (0,0)

Step-by-step explanation:

It is a square so each side is 2 units because

8/4 = 2

If the first point is at (2,2) we need to find which other point is 2 away from the first one. Or two away from where that point would be since there are 3 other corners.

We can rule out A and C because they are an odd number away. B is too far away because he's distance is 4.

So the other point is (0,0)