A convex polyhedron has 18 edges and 4 more vertices than faces. How many faces does the polyhedron have?

Euler’s formula: V + F = E + 2

8
12
14
16

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price=  $47,000  

Salvage value= $2,900  

Useful life= 5 years

To calculate the annual depreciation, we need to use the following formula:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (47,000 - 2,900) / 5= $8,820

The accumulated depreciation is calculated as follow:

Accumulated depreciation= years of depreciation*annual depreciation

For year 4:

Accumulated depreciation= 8,820*4= $35,280

Finally, the book value is:

Book value= purchase price - accumulated depreciation

Year Annual depreciation Accumulated depreciation Book value

1                 8820                                8820                  38180

2                 8820                                17640                  29360

3                 8820                                26460                  20540

4                 8820                                      35280                 11720

5                 8820                                 44100                    2900

9514 1404 393

Answer:

  z = -7

Step-by-step explanation:

The equations will be true for all real integers when they are a dependent set. That will be the case when the second equation is a multiple of the first.

Already, we observe that the ratios of x- and y-coefficients are -4:

  -12/3 = -4

  8/-2 = -4

The equations will be dependent when the constants have that same ratio:

  8z/14 = -4 . . . . desired ratio

  8z = -56 . . . . . multiply by 14

  z = -7 . . . . makes the equations true for all real numbers

_____

Comment on the question

The system of equations can be made inconsistent (no solutions) or consistent & dependent (infinite solutions) by the choice of z.

However, integer solutions are limited to pairs of the form (2n+2, 3n-4) for integer values of n. The values of x and y are not "all real integers".

Consequently, we have interpreted the question to be asking for the value of z that will make the system of equations have an infinite number of solutions, including both rational and irrational, real and complex values of x and y. They cannot be made to be true for "all real integers" by any choice of z.

Answer:

Step-by-step explanation:

Answer:

Best anwser to use is Mode. Where you have the most

Step-by-step explanation:

Answer:

list

tan (A)=

A=

25=

22=

B=

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

x = 40 degrees

Step-by-step explanation:

Triangle angle sum is 180 so 180 = 65 + 75 + x.

180 = 65 + 75 + x

180 = 140 + x

40 = x

Answer:

.8

Step-by-step explanation:

.8 is the largest

Answer:

H0 : P = 0.72

H1 : P > 0.72

Step-by-step explanation:

Claim is to test that percentage of customers who leave a review is greater than 72%

From the information given :

P0 = 72/100 = 0.72

The null hypothesis, H0 : P = 0.72

Alternative hypothesis claims the proportion is greater than 0.72 and from the sampling result obtained, phat = 0.90

Hence,

Alternative hypothesis, H1 : P > 0.72

Answer:

Linear speed =ωr=2π/86400×3960=11π/120 miles/s.

Step-by-step explanation:

The linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.

It is given that radius of equator of earth is 3960 miles.

We have to find the linear and angular speeds.

What do you mean by the linear speed ?

The linear speed of a point on the object is equal to the angular speed (ω) multiplied by the distance r.

As per the question ;

radius of equator of earth = 3960 miles

The linear speed will be ;

s = rθ / t

We know that ; at any point of equator would complete 360° or 2π radians revolutions every 24 hours.

So ;

s = (3960 miles × 2π) / 24 hour

s = 330π miles / hour

s ≅ 1036.73 miles / hour

And

The angular speed will be ;

ω = s / r

ω = 1036.73 / 3960 minutes

ω = 0.26 radian/hour

Thus , the linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.

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Answer:

[tex] \frac{ - 1}{2} [/tex]

Answer: Where is the square?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of possible combinations:

Answer:

Solution given:

Number of possible combinations:

4×6×8×12×20 = 46080 faces

Answer:

x = 20

Step-by-step explanation:

60 = x+40

subtract 40 from both sides and you get

20 = x

so x = 20

y=2/3x-2

Explanation:

The equation of a line can be written as y=mx+c

m=slope and c = y-intercept

The point at the x−intercept has coordinates (-3,0)

In y=mx+c

0=2/3(3)+c

0=2+c

-2=c

The equation is y=2/3x-2

Answer:

[tex] y = \frac{2}{3} x - 3[/tex]

Step-by-step explanation:

Slope (m) = 2/3

y-intercept (b) = - 3

Equation of line in slope intercept form is given as:

[tex] y = mx + b[/tex]

Plug the values of m and b in the above equation, we find:

[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]

Answer:

a - they should be large and sturdy

Step-by-step explanation:

The article states that artificial reefs can be made from materials such as concrete, or large pieces of waste such as subway cars, takes, and aircraft carriers. All of these items are large and sturdy.

Hope this helps, have a wonderful day :))

9514 1404 393

Answer:

  r = ±√47

Step-by-step explanation:

  -7r^2 = -329 . . . . given

  r^2 = 47 . . . . . divide both sides by -7 (multiplication property of equality)

  r = ±√47 . . . .  square root both sides (square root property of equality)

Answer:

This is what I got.

Step-by-step explanation:

Answer:

Step-by-step explanation:

subtrct 2 from every x co-ordinate and add 7 to every y co-ordinate.

Answer:

B: g=5

C: g=6

Step-by-step explanation:

Given

[tex]7 \ge 12 - g[/tex]

Required

All possible values of g

We have:

[tex]7 \ge 12 - g[/tex]

Collect like terms

[tex]7 - 12\ge - g[/tex]

[tex]-5\ge - g[/tex]

Divide both sides by -1 [The inequality changes because of negative division]

[tex]5\le g[/tex]

Swap both terms

[tex]g \ge 5[/tex]

This implies that g is greater than of equal to 5

i.e.

[tex]g= \{5,6,7.....\}[/tex]

Hence:

(b) and (c) are correct

Answer: -3/5

Step-by-step explanation: -3^3 is 27 and 5^3 is 125. So when you find the cube root of this equation you just simplify it to that.

Answer:

A

Step-by-step explanation:

If you get that right, follow Sammy Revv on Spotify please

The big orange cooler will hold 14 pitchers of iced tea. The response is C.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Since a pitcher of iced tea holds 128 ounces, we can find the number of pitchers required to fill the large orange cooler by dividing the total volume of the cooler by the volume of one pitcher:

1792 / 128 = 14

Therefore, it will take 14 pitchers of iced tea to fill the large orange cooler. The answer is C.

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Answer:

(2,14)

Step-by-step explanation:

Since y=5x+4, you can plug that into the other y in the other equation which would give you x+12=5x+4

Now subtract 12 from both sides

x=5x-8

Subtract 5x from both sides

-4x=-8

Now you divide them both by -4 which gives you x=2

Now plug x in to any of the equations

y=5(2)+4

y=10+4

y=14

Your final answer is (2,14)

Answer:

n is approximately 29 customers

Step-by-step explanation:

The given parameters are;

The mean duration of an order, μ = 4.5 minutes

The standard deviation, σ = 4

2 hours = 120 minutes

We get;

The z-score when the probability, P = 0.1 is P(z < 0.53983)

We have;

[tex]z = \dfrac{\dfrac{ \sum X_i}{n} - \mu_{\overline x}}{\dfrac{\sigma}{\sqrt{n} } }[/tex]

Therefore, we get;

[tex]z = \dfrac{\dfrac{120}{n} - 4.5}{\dfrac{4}{\sqrt{n} } } = 0.53983[/tex]

[tex]\dfrac{4}{\sqrt{n} } \times 0.53983 = \dfrac{120}{{n} } -4.5[/tex]

With the aid of a graphing calculator, we get;

81·n²-4320·n + 57600 - 18.6506514278·n = 0

Factorizing gives;

(n - 24.3011921023)·(n - 29.2623961869)·81124141329 = 0

Therefore;

n ≈ 24 or n ≈ 29

Therefore, we take the largest number, n ≈ 29, to make the sample approximately normal

Answer:

7(2x+ 6y)​ = 14x + 42y

Step-by-step explanation:

give brainllest plz

Answer:

x>3

Step-by-step explanation:

2x+3>9

2x>6

x>3

So all values of x must be greater than 3 in order for the inequality to be true.

Answer:

I think it is triangular prisim

Answer:

Triangular prism

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

but you gotta post the question...

Answer:

2/5, 1/3 4/15

Step-by-step explanation:

3x2/5=6/15

5x1/3=5/15

4/15

Correct order:

2/5; 1/3; 4/15