A convex polyhedron has 24 edges and 16 vertices. How many faces does it have?
Euler's formula: V + F= E + 2
6
10
26
38

Answer:

4x + 11

Step-by-step explanation:

3(2x + 7) - 2(x+5)

*use distributive property to multiply what's in the parentheses by what's outside of the parentheses*

6x + 21 - 2x - 10

*combine like terms*

6x + 11 -2x

4x + 11

Answer:

Slope m = -5/4

y-intercept b = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Standard Form]   -5x - 4y = -12

Step 2: Rewrite

Step 3: Identify

Break apart the function.

Slope m = -5/4

y-intercept b = 3

Step-by-step explanation:

Just substitute the values of a and b

2a^2 + 3b^3 - 10

2x2^2 + 3 x (-2)^3 - 10

= 2 x 4 + 3 x (-8) - 10

= 8 - 24 - 10

= 8 - 34

= -26

Answer:

- 26

Step-by-step explanation:

Given

2a² + 3b³ - 10 ← substitute a = 2, b = - 2 into the expression

= 2(2)² + 3(- 2)³ - 10

= 2(4) + 3(- 8) - 10

= 8 - 24 - 10

= - 16 - 10

= - 26

Answer:

tell mike to ask jeff bezoz for cahs so he wont need to invest

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

y = -2.65

Step-by-step explanation:

2y-2 = -2.3 + 5

2y-2 = -7.3

2y = -7.3+2

2y = -5.3

y = -5.3÷2

y = -2.65

Answer: i dont know sorry

Step-by-step explanation:

Given that,

A TV is 27 inch diagonally across the screen.

To find,

The dimensions that best describes a 37 inch TV.

Solution,

Let a and b are length and width of the TV. Let c be the diagonal. Using Pythagoras theorem,

[tex]c=\sqrt{a^2+b^2}[/tex]

If dimensions are 15 x 34,

[tex]c=\sqrt{15^{2}+34^{2}}\\\\=37.16\ inch[/tex]

If dimensions are 16.5 x 32,

[tex]c=\sqrt{16.5^{2}+32^{2}}\\\\=36.003\ inch[/tex]

If dimensions are 17 x 28,

[tex]c=\sqrt{17^{2}+28^{2}}\\\\=32.756\ inch[/tex]

If dimensions are 17 x 32,

[tex]c=\sqrt{17^{2}+32^{2}}\\\\=36.23\ inch[/tex]

It is clear that if dimensions are 15 x 34, the diagonal is 37 inches. Hence, the correct option is (a).

Answer:

Step-by-step explanation:

Answer:

1) y = 0.3x + 1000

2) slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3) y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4) The salary is $2500

Step-by-step explanation:

1)

monthly salary = fixed part + variable part

The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.

The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x

Let the monthly salary = y.

y = 1000 + 0.3x

y = 0.3x + 1000

2)

slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3)

y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4)

In this case, x = 5000

y = 0.3x + 1000

y = 0.3(5000) + 1000

y = 1500 + 1000

y = 2500

The salary is $2500.

Answer:

613.87 dollars

Step-by-step explanation:

Times 400 by 1.055 and you'll get 422 dollars. Keep doing this with the product (Result of you multiplying the previous answer by 1.055) eight times and you'll get 613.87 dollars

Answer:

A = $400e^(0.055·8) ≈ $621.08

Step-by-step explanation:

hope this helps

Answer:

A because it has both the slope and the y-intercept

Answer:

No they aren't equal.....

Answer:

15,000perecent

Step-by-step explanation:

subtract 45 from 30 and you get 15 that means he lost 15,000 percent

Answer:

Angle 4,

Step-by-step explanation:

Partnership with angle 3, it'll make a 90 degree angle.

Answer:

42

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

30-2(7+2)-1

30-2(9)-1

Then multiplication

30-18-1

Then left to right

12-1

Then again

So your answer is 11

Hope that helps!

Answer:

see explanation

Step-by-step explanation:

If there is a solution between x = 1.1 and x = 1.2 then there will be a change in sign when the equation is evaluated at the points, indicating the graph has crossed the x- axis, where the solution lies.

Given

x³ + 4x = 6 ( subtract 6 from both sides )

x³ + 4x - 6 = 0 ← in standard form

Evaluating for x = 1.1

(1.1)³ + 4(1.1) - 6

= 1.331 + 4.4 - 6 = - 0.269 ← < 0

Evaluating for x = 1.2

(1.2)³ + 4(1.2) - 6

= 1.728 + 4.8 - 6 = 0.528 ← > 0

Since there is a change in sign the graph has crossed the x-axis from below /   indicating a solution between x = 1.1 and x = 1.2

Answer:

y = 8

x = -2

Step-by-step explanation:

(If you are cancelling the y form the equation to find x first then subtract the equation as the signs are the same or else if you are cancelling the x first then add the equations as the signs are different)

y-12x=12 l cancelled the x from the equation to

y+2x=4 find y

+ + +

_____

2y = 16

y= 16/2

y=8

8 in eqn no 1

y-2x=12 replace the y with 8 and find x

8-2x=12

8-12=2x

-4=2x

-4/2=x

-2=x

Answer:

Wheres the picture?

Step-by-step explanation:

Answer:

What's the problem?

Step-by-step explanation:

Makes NO sense

Answer:

v=9

Step-by-step explanation:

-18 = 7v + 9 - 10v

combine like terms

-18 = -3v + 9

-9             -9

-27 = -3v

divide both sides by -3

9 = v

or

v = 9

Hope this helps!!!

Answer:

10(x)=y

Step-by-step explanation:

I'm bot 100% sure if this is correct because I don't know the lesson you're doing but I hope it helped.

Answer:

And....what are the options? or are we suppose to know answer that?

Answer:

could you add the options pls

Answer:

[tex]\sqrt{77}[/tex]

Step-by-step explanation:

[tex]\sqrt{7} \sqrt{11}[/tex]

Apply radical rule: [tex]\sqrt{a} \sqrt{b} =\sqrt{a*b}[/tex]

[tex]\sqrt{7}\sqrt{11} =\sqrt{7*11}[/tex]

[tex]=\sqrt{7*11}[/tex]

Multiply the numbers: [tex]7*11=77[/tex]

[tex]=\sqrt{77}[/tex]

Answer:

Step-by-step explanation:

Possible number of sets:

Answer:

Step-by-step explanation:

From the question, we are to relate the amount the teacher spent to the expression 9(7-x).

Since the teacher does not have to spend all the $36, this means that he spent amount less than $36 but not equal to $36. Hence the best inequality sign that relates both expression is a less than sign (<) as shown;

9(7-x) < 36

hence the required inequality is 9(7-x) < 36

Answer:

a) 3.55 k.m

b) 10.75 k.m

c) 33.o6 k.m

Answer:

D. 12 ÷ 0

Step-by-step explanation:

Undefined Expression

An expression in mathematics that does not have meaning and so which is not assigned an interpretation is called undefined.

A rational expression is undefined when the denominator is 0. Division by 0 is not defined or does not have a meaning.

From the given expressions, the only one that has a division by 0 is:

D. 12 ÷ 0