which net represents the pyramid with the greatest surface area ​

9514 1404 393

Answer:

  101000₂

Step-by-step explanation:

The usual place-value rules apply. Bit positions have values that increase by a factor of 2 as you go leftward from the units bit.

  40 = 32 + 8 = 2⁵ +2³ = 101000₂

_____

The usual conversion algorithm has you repeatedly divide the number by 2. The remainder at each step is the binary digit (bit) next to the left. The first remainder is the units bit.

40/2 = 20r0

20/2 = 10r0

10/2 = 5r0

5/2= 2r1

2/2 = 1r0

1/2 = 0r1

The bits left to right are the remainders from the bottom up: 101000.

__

Additional comment

Along the same lines, a fraction can be converted to a binary fraction by repeatedly multiplying by 2. If the result is 1+(something), the fraction bit is 1. Otherwise it is 0. The next step repeats with the fractional part of that result. This develops the fraction bits left to right.

Example:

  1/16 × 2 = 1/8 + 0

  1/8 × 2 = 1/4 + 0

  1/4 × 2 = 1/2 + 0

  1/2 × 2 = 0 +1

The binary equivalent of 1/16 is 0.0001₂.

__

Fractions that do not have denominators that are a power of 2 will be repeating binary fractions. Of course, irrational numbers will have non-repeating binary fractions.

Answer:

the required height is 6.7m.

Answer:

The height requirement is 6.7m.

explanation:

Hope it helps have a great day :)

5

Step-by-step explanation:

AB=CD (Opposite sides of a parallelogram are equal)

11x-13=42

11x=42+13

11x=55

x=55/11

x=5

Answer:

[tex]y = {(x + 8)}^{3} - 9[/tex]

Answer:

c

Step-by-step explanation:

The graph starts at 100 and decreases as it goes the following situations that were listed should be somewhat implying that something is decreasing. Since a and b are GAINING something then it can't be that because it is increasing, so we are left with choice c.

hope this helps!

Answer:

I'm not graphing, but I can describe the reflection as R', S', T', U':

R' = (-3, 1)

S' = (-2, 0)

T' = (-1, 2)

U' = (-2, 2)

Step-by-step explanation:

y = -1 is the line one unit below the x axis (the x axis is y=0).

To reflect any point across y=-1, we just need to leave the x coordinate as was, but the (new y) will be -2-(old y)

R = (-3, -3), R' = (-3, -2+3) = (-3, 1)

S = (-2, -2), S' = (-2, -2+2) = (-2, 0)

T = (-1, -4), T' = (-1, -2+4) = (-1, 2)

U = (-2, -4), U' = (-2, -2+4) = (-2, 2)

Answer:

24 possible combinations in total,

just 3 that apply

{B,2},{B,4},{B,6}

one easy way to write the possibility is just

3/24 = 1/8 = 12.5%

Answer:

5 1/4

Step-by-step explanation:

5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 = 6 1/4

Answer:

The investment after 5 years is $ 662.45.

Step-by-step explanation:

Principal, P = $ 600

Time, t = 5 years

Rate of interest, R = 2 %

Time , t = 5 years

The amount after the time 5 years is

[tex]A = P \times \left ( 1+\frac{R}{100} \right )^t\\\\A = 600\left ( 1+0.02 \right )^5\\\\A = 662.45[/tex]

So, the investment after 5 years is $ 662.45.

Answer:

240 ft²

Step-by-step explanation:

The shape is composed of a rectangle and a triangle.

The area of the shape = area of the triangle + area of the rectangle

= ½*bh + L*W

Where,

b = base of triangle = 24 ft

h = height of triangle = 12 - 8 = 4 ft

L = length of rectangle = 24 ft

W = width of rectangle = 8 ft

Plug in the values into the equation

Area of the shape = ½*24*4 + 24*8

= 48 + 192

= 240 ft²

Answer:

Step-by-step explanation:

without tax and insurance deduction- 3,250 (monthly)

with tax and insurance deduction-26,669.04/12=2,222.42 (monthly)

This question is incomplete, the complete question is;

Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service.

A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.36, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.40.

Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers. What is the value of the test statistic? Round your all answers to two decimal places.

Answer:

value of the test statistic is 4.13

Step-by-step explanation:

Given the data in the question;

fewer than 500 passengers                           more than 500 passengers

n₁ = 37                                                               n₂ = 44

x'₁ = 85.36                                                         x'₂ = 81.40

s₁ = 4.55                                                            s₂ = 3.97

Now, to get the test statistics, we use the following formula;

z = (x'₁ - x'₂) / √( [tex]\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}[/tex] )

we substitute

z = ( 85.36 - 81.40 ) / √( [tex]\frac{(4.55)^2}{37} + \frac{(3.97)^2}{44}[/tex] )

z = 3.96 / √( [tex]\frac{20.7025}{37} + \frac{15.7609}{44}[/tex] )

z = 3.96 / √( 0.5595 + 0.3582 )

z = 3.96 / √0.9177

z = 3.96 / 0.957966596

z = 4.1337 ≈ 4.13

Therefore, value of the test statistic is 4.13

3) x=190, <BOC=85

4) x=177, <TOU=31

5) x=61, <LOM=110

6) x=55, <DOE=117

Answer:

(f + g)(4) = 9

Step-by-step explanation:

We have that:

f = {(-1,-3), (1,1),(2,3),(4,6)}

this means that:

f(-1) = -3

f(1) = 1

f(2) = 3

f(4) = 6

and we also know that:

g = {(-1,-1),(1,7),(4,3)}

hich means that:

g(-1) = -1

g(1) = 7

g(4) = 3

Now we want to find:

(f + g)(4)

For the general case of two functions f(x) and g(x)

(f + g)(x) = f(x) + g(x)

Then:

(f + g)(4) = f(4) + g(4)

and we know both of these values, so we can just replace them:

(f + g)(4) = f(4) + g(4) = 6 + 3 = 9

Then we get:

(f + g)(4) = 9

Answer:

2 x 2

Explanation:

The prime numbers that multiply to 4 are 2 and 2.

Answer:

All triangles add to 180 degrees.  

180 = 90 + 40 + angle ABX

angle ABX = 180 - 90 - 40

Angle y = 50

Step-by-step explanation:

Answer:

54 and 30

Step-by-step explanation:

84÷2=42-12=30

42+12=54

Answer:

hvbiknbtUKvfnvghj

vhkbn

bhjn

bhmm

bhnm

hgg

bjj

bhj

Answer:

2x+30=x+80 (corresponding angles)

2x-x=80-30

x=50

Step-by-step explanation:

the problem description is incomplete or wrongly copied.

we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.

Answer:

10 miles per hour = 0.1862 meter per second

Step-by-step explanation:

Given

Speed in miles per hour = 10 miles per hour

As we know

1 mile = 1609.34 meters

and 1 hour  = 24*60 *60 seconds

Thus, 10 miles per hour in meter per second would be

10 * 1609.34/24*60 *60

= 0.1862 meter per second

Answer:

$14,386.25

Step-by-step explanation:

Answer:

correct

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Area of a triangle is base times height

We have a base made by point m and n with a length of 6

now the third point has to form a height which when put with the base, gets you 18

area of triangle is bh/2

so lets set height as h, 6x/2 = 18 6x = 36 x = 6

This means the point has to be 6 apart either left or right. Only point that matches this is a.

Answer:

x(x2-25)=o

x=0;x=5 and -5

Answer:

[tex] {x}^{3} - 25x \\ = x( {x}^{2} - {5}^{2} ) \\ = x(x - 5)(x + 5)[/tex]