What is the solution to the equation?
-9=-10x-5

The Euler's formula relates the vertices, faces and the edges of a polyhedron.

The correct option is (e) [tex]V = 6[/tex]    [tex]E = 10[/tex]    [tex]F = 6[/tex]     [tex]6- 10 + 6 = 2[/tex]

First, we count the number of faces. This is the flat parts of the shape.

The attached shape has 6 flat surfaces.

So:

[tex]F = 6[/tex]

Next, we count the number of edges. This is where two faces meet.

The attached shape has 10 edges;

So:

[tex]E = 10[/tex]

Lastly, we count the number of vertices. This is where two edges meet.

The attached shape has 6 vertices.

So:

[tex]V = 6[/tex]

Using Euler's formula, we have:

[tex]V - E + F = 2[/tex]

Substitute values for V, E and F

[tex]6- 10 + 6 = 2[/tex]

[tex]2 = 2[/tex]

Hence, the polyhedron has 6 vertices, 10 edges and 6 faces

Read more vertices, edges, and faces at:

https://brainly.com/question/23347978

Using a system of equations, it is found that:

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

This question is solved using a system of equations. I am going to say that:

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

Thus:

[tex]x + y = 24 \rightarrow y = 24 - x[/tex]

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

Thus:

[tex]2x + 4y = 80[/tex]

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

Number of chicken:

Since [tex]y = 24 - x[/tex]

[tex]2x + 4y = 80[/tex]

[tex]2x + 4(24 - x) = 80[/tex]

[tex]2x + 96 - 4x = 80[/tex]

[tex]2x = 16[/tex]

[tex]x = \frac{16}{2}[/tex]

[tex]x = 8[/tex]

There are 8 chickens in the yard.

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

Number of pigs:

[tex]y = 24 - x = 24 - 8 = 16[/tex]

There are 16 pigs in the yard.

A similar problem is given at https://brainly.com/question/24104709

Answer:

73

Step-by-step explanation:

17×2=34

180-34=146

146/2=73

=73

Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm

Answer:

x2 - 16x + 28 = (x - 2)(x - 14)

Step-by-step explanation:

Even though you don't mention any factors below, it is easy to tell that the above-given two factors must be the ones you are looking for.

Let s(t) be the amount of salt in the tank at time t. Then s(0) = 50 lb.

Salt flows into the tank at a rate of

(2 gal/min) (6 lb/gal) = 12 lb/min

and flows out at a rate of

(2 gal/min) (s(t)/300 lb/gal) = s(t)/150 lb/min

so that the net rate at which salt is exchanged through the tank is

ds(t)/dt = 12 - s(t)/150 … (lb/min)

Solve for s(t). The DE is separable, so we have

ds/dt = 12 - s/150

150 ds/dt = 1800 - s

150/(1800 - s) ds = dt

Integrate both sides to get

-150 ln|1800 - s| = t + C

Solve for s :

ln|1800 - s| = -t/150 + C

1800 - s = exp(-t/150 + C )

1800 - s = C exp(-t/150)

s = 1800 - C exp(-t/150)

Now given that s(0) = 50, we solve for C :

50 = 1800 - C exp(-0/150)

50 = 1800 - C

C = 1750

Then the amount of salt in the tank at any time t ≥ 0 is

s(t) = 1800 - 1750 exp(-t/150)

To find the time it takes for the tank to hold 100 lb of salt, solve for t in

100 = 1800 - 1750 exp(-t/150)

1700 = 1750 exp(-t/150)

34/35 = exp(-t/150)

ln(34/35) = -t/150

t = -150 ln(34/35) ≈ 4.348

So it would take approximately 4.348 minutes.

By the way, we didn't have to solve for s(t), we could have instead stopped with

-150 ln|1800 - s| = t + C

Solve for C - this C is not the same as the one we found using the other method. s(0) = 50, so

-150 ln|1800 - 50| = 0 + C

C = -150 ln|1750|

==>   t = 150 ln(1750) - 150 ln|1800 - s|

Then s(t) = 100 lb when

t = 150 ln(1750) - 150 ln(1700)

t = 150 ln(1750/1700)

t = 150 ln(35/34)

t ≈ 4.348

2z+16+124=180

2z=180-16-124

2z=40

z=40/2

Z=20°

I hope I helped you ^_^

Answer:

h = 4sqr(3)

Step-by-step explanation:

r = d/2

d =  8

r = 8/2

r = 4

a = 4

c = 8

b = h = ?

a^2 + h^2 = c^2

4^2 + h^2 = 8^2

16 + h^2 = 64

h^2 = 64 - 16

h^2 = 48

sqrt(h^2) = sqrt(16*3)

h = 4 sqrt3)

Answer:

48

Step-by-step explanation:

Answer:

g(1) = 1

Step-by-step explanation:

In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).

The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).

Answer:

n = 3

m = -1/2

Step-by-step explanation:

Multiply the second equation by 4

4(n - 2)x + y = 4(n + m)          Y is now correct.

4(n - 2) = 4                              Remove the brackets    

4n - 8 = 4                                Add 8 to both sides

4n = 8 + 4                               Combine

4n = 12                                    Divide by 4

n = 3                                        x is now correct

4(n - 2) = 4

4(3 -2) = 4

4 = 4

Now you have to worry about m

4(n + m) = 10

n = 3

4(3 + m) = 10                               Divide by 4

m + 3 = 10/4

m + 3 = 2.5                                 Subtract 3 from both sides.

m = 2.5 - 3

m = - 1/2  

Answer:

Arc KN = 201°

Step-by-step explanation:

Recall: According to the tangent-secant exterior angle theorem, the measure of the vertex angle formed at an external point where a tangent and a secant meet outside a circle is ½ of the difference between the intercepted major and minor arcs.

Applying this to the problem given, we have:

m<L = ½(Arc KN - Arc KM)

m<L = 70° (given)

Arc KN = ?

Arc KM = 61°

Substitute

70° = ½(Arc KN - 61°)

2*70° = Arc KN - 61°

140° = Arc KN - 61°

140° + 61° = Arc KN

201° = Arc KN

Arc KN = 201°

Answer:

Step-by-step explanation:

B = {p , q , r}

Number of subsets = [tex]2^{n}[/tex]

Her, n  is the number of elements in the set.

Number of subsets = 2³ = 8

Answer:

Sorry I don't know the answer

Answer:

we have to convert that question centimeters to meters

Step-by-step explanation:

I think all are going to be less as you change all of them.

Answer:

Step-by-step explanation:

The inscribed angles are made up of the remote interior angles of this hexagon, of which each of them measures 120 degrees. That means that if this is measure of the inscribed angle, the arc this angle intercepts is twice the degree measure of the inscribed angle. The arcs then will all measure 240 degrees.

Answer:

Volume = 108 ft³

Step-by-step explanation:

Volume of a sphere is given by the expression,

V = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = Radius of the sphere

From the picture attached,

Radius of the sphere = 3 ft

By substituting the value of r in the expression,

Volume = [tex]\frac{4}{3}\pi (3)^{3}[/tex]

             = 36π

             = 36×3

             = 108 ft³

Answer:

437.9

Step-by-step explanation:

Volume is pi*r^2*h=pi*(49)*9=437.9

Answer:

(1,-4)

Step-by-step explanation:

We add 4 to the x-coordinate, so -3+4=1.

Answer:

x

[tex]x \leqslant - y + 1[/tex]

Steps are show in the picture above.

I HOPE IT WILL HELP YOU. I DID HOW I KNOW .

Answer:

root 194=13.928 inches

Answer:

Step-by-step explanation:

We know that the thickness of the lake decreases at a rate of 0.2 meters per week, so we can write:

S(t)=-0.2t+4

we also know that after 7 weeks, the sheet is only 2.42 meters thick, which means we can write:

S(7)=2.42

S(7)=-0.2*7+X

S(7)=-1.4+X

2.42=-1.4+X

X=3.82

So, the function is: S(t)=--0.2*t+3.82

Answer:

y = 3.8 - 0.2x

Step-by-step explanation:

Khan Academy

Answer:

either it's 1:3 or 1:6

Step-by-step explanation:

3 students went to the zoo, and 15 students went to the aquarium.

15 plus 3 is 18.

3/18 then reduces to 1/6

therefore it is:

1:6

(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)

Answer:

A

Step-by-step explanation:

The area of figure=Area of rectangle+Area of triangle

Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)

Area of figure=x^2-x-6+0.5*x^2+x

Area of figure=(3/2)x^2-6

Answer:

A, M(x)=3/2 (x^2-6)

Step-by-step explanation:

Let's calculate the area of the figure 1st,

Area of figure=Area of triangle+Area of rectangle

                      =1/2 b*h + l*b = 1/2 (x+2)x + (x+2)(x-3)

                      =(x^2+2x)/2+x^2 - x - 6 =(x^2+2x+2x^2 - 2x -12)/2

                      =3x^2-12/2=3/2(x^2-6)

In the options,

M(x)=3/2 (x^2-6) is given, so it best represents the area.

Answer:

2.)4n>(n/2)^2

3. (The problem isn't clear)

4.)n^2+2n-3=129

5.)n-5=171

Step-by-step explanation:

2.)

4n(four times the number) >(larger than) (n/2)^2 (half the number squared)

4.)

Sum=addition

n^2 (number squared) +2n (twice the number)-3=129

5.)

N(unknown number of pages) -5(amount of pages already read)= 171(the number of pages it took her to finish)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

4

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\15+(-11)\\----------------\\\rightarrow 15 +1(-11)\\\\\rightarrow 15 - 11\\\\\rightarrow \boxed{4}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

your answer will obviously be 4

Answer:

t3 = 8, t5 = 14

Step-by-step explanation:

t3 = 2 + (3-1) × 3

t3 = 2 + (2) × 3

t3 = 2 + 6

t3 = 8

t5 = 2 + (5-1) × 3

t5 = 2 + (4) × 3

t5 = 2 + 12

t5 = 14

Answer: Actual distance = 37.5 miles

Step-by-step explanation:

Let x be the actual distance

Given information

Length on map = 7.5 inches

Scale = 1 inch : 5 miles

Set up proportion

[tex]\frac{7.5}{x} =\frac{1}{5}[/tex]

Cross multiply to convert out of fraction form

[tex]7.5*5=1*x[/tex]

[tex]\boxed{x=37.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

shift the graph up 1 unit

Step-by-step explanation:

d is the vertical shift

+1 means we shift the graph up 1 unit

Answer:

Step-by-step explanation:

PLEASE, forgive me but I answered this and hopefully what I see is correct. I’m really sorry if this weren’t the real measurements!

Answer:

192 square inches

Step-by-step explanation:

Surface area questions often include the net for easy answering. All you do is just find the area of each face and add them all up:

As you can see, all triangles in this net of a pyramid are the same, so once we find the area of one triangle, we’ll just multiply by 4:

FIND AREA OF ONE TRIANGLE (1/2 x b x h)

1/2 x 8 x 12 = 48 square inches

MULTIPLY BY 4 for SURFACE AREA:

48 x 4 = 192

so the SA is 192 square inches!

brainliest?

Answer:

The base is 12 the height is 8.

Using the formula of finding the area of a triangle: BH x 1/2

8 x 12 x 1/2 = 48 Area of one triangle.

Since there are 4 equilateral triangles we multiply the area of one triangle 4 times since they are all equal.

48 x 4 = 192 in2 is your surface area

(haven't done this in quite a while so make sure to check other answers for more reassurance)