14ab5 - 2ab5 + 4b2 +b

Answer:

It would have 6 faces

Step-by-step explanation:

In any convex polyhedron:

let v be the number  vertices , e is the number of edges and f is the number of faces then;

             ....[1]

As per the statement:

If a figure has eight vertices and 12 edges

⇒v = 8 and e = 12

Substitute in [1] to solve for f, we have;

⇒

Subtract 6 from both sides we have;

f = 6

Step-by-step explanation:

The lateral area is formula for a cylinder is

[tex]2\pi \times r \times h[/tex]

where r is radius and h is height.

[tex]2\pi \times 8 \times 3 = 48\pi[/tex]

The surface area of cylinder is

[tex]2\pi \times {r}^{2} + 2\pi \times r \times h[/tex]

[tex]2\pi(64) + 2\pi(24)[/tex]

[tex]128\pi + 48\pi[/tex]

[tex]176\pi[/tex]

Volume of cylinder is

[tex]\pi \times {r}^{2} \times h[/tex]

[tex]\pi \times 64 \times 3[/tex]

[tex]192\pi[/tex]

Answer:

Step-by-step explanation:

Lateral area is the sides so for this it's  distance around x 3 . b/c the cylinder is 3 units tall... sooo

r= radius  ,  d= diameter

circumference = distance around = 2[tex]\pi[/tex]r  or d[tex]\pi[/tex] = 16[tex]\pi[/tex]  

Lateral area is 16[tex]\pi[/tex]*3 = 48[tex]\pi[/tex]

Surface area is the lateral area + the top and bottom

the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

the area of this circle for the top is [tex]\pi[/tex][tex]8^{2}[/tex]

64[tex]\pi[/tex]

times 2 b/c there is also a top and a bottom

128[tex]\pi[/tex] + 48[tex]\pi[/tex] = 176[tex]\pi[/tex]

surface area is 176[tex]\pi[/tex]  [tex]units^{2}[/tex]

Volume of a cylinder is area of the circle base times the height.  

the base is 64[tex]\pi[/tex]

time 3 = 192[tex]\pi[/tex] [tex]units^{3}[/tex]

Volume is 603.1857 [tex]units^{3}[/tex]

note that two of  the answer include pi,  but you have that already put in for you in the answer so leave that part off.  

Answer:#1

Step-by-step explanation:

Answer:

This one is easy I did this one before its A

Answer:

the answer is c

you times the radius with the 2 and the pi

Answer:

Approximately [tex]0.428[/tex].

Step-by-step explanation:

(This approach requires looking up values on a [tex]z[/tex]-table. Calculators aren't required.)

A typical [tex]z[/tex]-table lists probabilities in the form [tex]P(Z \le z)[/tex] (or equivalently, [tex]P(Z < z)[/tex],) where [tex]z\![/tex] is real number (typically greater than or equal to [tex]0[/tex].)

However, the question asks for a probability in the form [tex]P(a < Z < b)[/tex]. It would be necessary to rewrite this probability for this [tex]\!z[/tex]-table approach to work.

Let [tex]a[/tex] and [tex]b[/tex] denote two real numbers, with [tex]b > a[/tex]. [tex]P(a < Z < b)[/tex] would be equal to [tex]P(Z < b) - P(Z < a)[/tex]. In this question:

[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \end{aligned}[/tex].

Look up the value of [tex]P(Z < 1.46)[/tex] on a [tex]z[/tex]-table: [tex]P(Z < 1.46) \approx 0.927855[/tex].

On the other hand, [tex]P(Z < 0) = 0.5[/tex] because the Gaussian distribution is symmetric.

Therefore:

[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \\ &\approx 0.927855 - 0.5 \\ &\approx 0.428\end{aligned}[/tex].

Answer:

Last one D.

Step-by-step explanation:

Just remember x, f(–x) = –f(x).

Answer:ok

Step-by-step explanation:

Answer:

v = u = 75.8

Step-by-step explanation:

Answer:

50% of the employees work part time.

Step-by-step explanation:

11/22=0.5

0.5 *100=50

Answer:

A) 3

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

Answer:

3

Step-by-step explanation:

because 18/3 = 6

or 6 x 3 = 18

so it is a factor of 18

Answer:

y=2x+8

Step-by-step explanation:

y-y1=m(x-x1)

y-4=2(x-(-2))

y-4=2(x+2)

y=2x+4+4

y=2x+8

Answer:

hope it helps you...

The points of the graph are (10,15)(20,25)(5,5)

Step-by-step explanation:

Step-by-step explanation:

the energy the model will output in 10 years

10(2M+3S)

Answer:

D. 16√3

Step-by-step explanation:

To find the area, you have to find the height. To find that, you spit the triangle in half for a 30 - 60 - 90 triangle and figure out that the height is 4√3.

After you find the height, you do the equation for the area of a triangle which is 1/2 side * height, and you fill it out.

1/2 8 * 4√3

4 * 4√3

16√3

Answer: The volume is 1/12 cubic foot.

Step-by-step explanation:

V= l*w*h

V= 1 1/2* 1/6*1/3

V= 1/12

Answer:

3,114 in 240 days

Step-by-step explanation:

3000 x 0.038=114

114+3000=3114

Answer:

D.

Step-by-step explanation:

Look for the closed circle with the arrow pointing to the right on this one.

Answer:

Slope, m = -8

Step-by-step explanation:

Given the following data;

Points on x-axis (x1, x2) = (2, 3)

Points on y-axis (y1, y2) = (5, -3)

To find the slope, m;

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {-3 - 5}{3 - 2} [/tex]

[tex] Slope, m = \frac {-8}{1} [/tex]

Slope, m = -8/1

Slope, m = -8

Given:

The point P = (3,2) is rotated 270° counterclockwise about the origin.

To find:

The image of the given point after rotation.

Solution:

If a point rotated 270° counterclockwise about the origin, then the rule of rotation is:

[tex](x,y)\to (y,-x)[/tex]

Using this rule, we get

[tex]P(3,2)\to P'(2,-3)[/tex]

Therefore, the image of given point P = (3,2) after the rotation of 270° counterclockwise about the origin, is P'(2,-3).

Answer:

IF THERE IS A LINK DON'T CLICK ON IT

Step-by-step explanation:

IT'S A COMPUTER PHONE AND TABLET VIRUS

Answer:

About anything that adds up to 90...

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

B. 6

Step-by-step explanation:

It's difficult to explain, but from the answer I got is 6

as the greatest common divisor of 48 and 42.

Answer: $1846

Step-by-step explanation:

First and foremost, we should note that there are 52 weeks in a year. Therefore the biweekly payment of John will be gotten by dividing his gross income by 26 weeks i.e (52weeks/2) since it's biweekly.

Therefore, the gross income on each paycheck will be:

= $48,000.00 / 26

= $1846.15

= $1846 approximately

The gross income on each paycheck is $1846.

Answer:

a = 57 mm is the answer.

Step-by-step explanation:

a = ?

b = 76 mm

c = 95 mm

According to the Pythagoras theorem,

a² + b² = c²

a² + 76² = 95²

a² + 5776 = 9025

a² = 9025 - 5776

a² = 3249

a = 57 mm

∴ a = 57 mm is the length of the missing leg.

Answer:

57 mm

Step-by-step explanation:

To solve for a, we can use the Pythagorean Theorem.

a² + b² = c²

We have to solve for a, and we are given values for b and c, c being the hypotenuse.

This is what we know-

a² + 76² = 95²

We can simplify this to-

a² + 5776 = 9025

To solve for a, we have to isolate the variable on on side of the equals sign. So, we can subtract 5776 from both sides.

a² + 5776 - 5776 = 9025 - 5776

Simplify.

a² = 3249

Finally, to solve for a, find the square root of a².

[tex]\sqrt{3249^{2}[/tex] = 57

So, a = 57 mm

I hope this is helpful :) Good luck ^^

Answer:

b, c, d, e

Step-by-step explanation:

Answer:

y = -7

Step-by-step explanation:

y = 1/2x

x = -14 (given)

y = 1/2 × (-14)

= -7

Answer:

y= -7

Step-by-step explanation:

Just plug -14 in for x to calculate y

y=1/2(-14)= -7

Answer:

2 OUTFITS

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

in exponential equations f(x)=ab^x , a is the intial amount while b is the growth factor. you are just decreasing a so the intial value is lower (=^w^=)

Answer:

Step-by-step explanation:C

Answer:

(-5, -4)

Step-by-step explanation:

I got it correct and that is right