1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timama [110]
3 years ago
9

Multiple1. Which of the following is Eular's formula?OE-V + F = 2OV-E+ F = 2​

Mathematics
1 answer:
Alinara [238K]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Euler's formula for polyhedra is

V- E + F = 2

where V is number of vertices, E number of edges and F number of faces

You might be interested in
The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
daser333 [38]

Answer:

d=\frac{3}{2}=1.5

Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are <em>(x-2) </em>and <em>(x-1)</em>.

Therefore, our roots/zeros are <em>x=1, 2</em>.

So, the average of them are:

d=\frac{1+2}{2}=3/2=1.5

Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

x=-\frac{b}{2a}

So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:

x=-\frac{-3a}{2a}=\frac{3}{2}=1.5

Confirming our answer.

4 0
2 years ago
A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. T
Novosadov [1.4K]

Answer:

True.

Step-by-step explanation:

A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. Probability distribution is associated with the following characteristics or properties;

1. The outcomes are mutually exclusive.

2. The list of outcomes is exhaustive, which simply means that the sum of all probabilities of the outcomes must equal one (1).

3. The probability for a particular value or outcome must be between 0 and 1.

Since a probability distribution gives the likelihood of an outcome or event, a single random variable is divided into two main categories, namely;

I. Probability density functions for continuous variables.

II. Discrete probability distributions for discrete variables.

For example, when a coin is tossed, you can only have a head or tail (H or T).

Also, when you throw a die, the only possible outcome is 1/6 and the total probability for it all must equal to one (1).

5 0
2 years ago
Including an 18% tip, Ms. Guy and her friends spent $74.93 on dinner. What was the cost of the dinner excluding the tip?
12345 [234]

Answer:

61.45

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A box of nails weigh 0.4 pounds how much do 42 boxes of nails weigh
melamori03 [73]
42 boxes of nails at .4 pounds a box would weigh 16.8 pounds.
6 0
3 years ago
Help me with this please!!!
Lerok [7]

Answer: y = 80*

all circles have 360* so we can subtract what we have to get what we want

360 - 110 - 90 - 80 = 80*

5 0
2 years ago
Other questions:
  • Boris invested his savings in two investment funds. The $12,000 that he invested in fund a returned a 6% profit the amount that
    15·1 answer
  • Find the measure of an exterior angle of each regular polygon: 100-gon.
    8·1 answer
  • How do you find the distance between two points
    15·1 answer
  • Simplify 9 − (−4).<br><br> −13<br> −5<br> 5<br> 13
    7·2 answers
  • Need help with these two question!!??
    5·1 answer
  • PLEASE HELP ASAP! Thanks
    10·2 answers
  • Can someone help me find the slope thanks
    8·2 answers
  • If x= -3 is one solution of x2 + 9x + 18, what is the other solution?​
    12·1 answer
  • Find the radius of the button
    14·1 answer
  • Please help please please please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!