professor must randomly select 4 students to participate in a mock debate. There are 18 students in his class. In how many different ways can these students be selected, if the order of selection does not matter?

Answers

Answer 1
Answer:     18 divided by 4 gives 4r2 so we could do 32 different ways


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Find the exact value of each trigonometric function:1) cot 135 degrees 2) tan -30 degrees 3) cot (-pi) Show your work. This is from trigonometry or Algebra 2. Please don't answer if you don't know it.
Angles l and m are supplementary. what is the sum of their measures? (Is the answer 180?)
Convert the following to mixed numbersa. 13/12b. 20/3c.9/4d.19/5e.28/6thank you!!
Which value of K will make x^2-1/4x+k a perfect square trinomial?
Completing the square x^{2}+3×=0

C = 0.765x + 0.06(0.765x)

Answers

Hey there!

c=0.765x+0.06(0.765x)

Add:

c=0.765x+0.06(0.765x)\nc=0.8109x

Hope this helps!

AT2309

Point O is between points G and D on line m. Which of the following statements is not necessarily true?a. O, G and D are collinear.
b. O, G and D are coplanar.
c. GO + OD = GD
d. GO = OD

Answers

Answer: d. GO = OD

Step-by-step explanation:

Given: Point O is between points G and D on line m.

It means that they are on same line m.

We know that collinear points are the points lie in the same line.

Hence O, G and D are collinear.

Also, coplanar points are the points lie in the same plane.

Since if three points are collinear, then they are coplanar.

Therefore, O, G and D are coplanar.

The statement which is not necessarily true is d. GO = OD because it is not given that o lies exactly middle to points G and D.

c. GO + OD = GD

hope this helps

complete this series of number : 9=4, 21=9, 22=9, 24=10, 8=5, 7=5, 99=10, 100=7, 16=?, 17=?​

Answers

Answer:

16= 7 &

17= 9

Step-by-step explanation:

What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?A.Factor out 3 from each term.
B.Form a perfect square trinomial by keeping the value of the C.function equivalent.
D.Write the trinomial as a binomial squared.
E.Factor out 3 from the first two terms.

Answers

The first step in writing f(x) = 3x² + 6x - 8 in vertex form is

E. Factor out 3 from the first two terms.

f(x) = 3x² + 6x - 8
f(x) = 3(x² + 2x) - 8
f(x) + 8 = 3(x² + 2x + __)
f(x) + 8 + 1 = 3(x² + 2x + 1)
f(x) + 9 = 3(x+1)²
f(x) = 3(x+1)² - 9

Answer:

Factor out 3 from the first two terms.

Step-by-step explanation:

A fruit bowl contains 2 bananas, 5 oranges, and 4 apples in the simplest form, what is the ratio of apples to bananas in the fruit bowl?

Answers

Answer:

Ratio of apple to banana is 2:1

Step-by-step explanation:

To find ratio of x type of one thing and y type of other thing we divide

x by y and ratio is written as

ratio = x:y

_________________________________

Number  of banana = 2

Number  of apples = 4

Ratio of apple to banana = Number  of apples :Number  of banana

Ratio of apple to banana = 4:2

since 4 is divisible by 2 , to get the ratio in simplest form

we divide both numerator and denominator by 2

Ratio of apple to banana = 4/2:2 /2 = 2:1

Thus,

Ratio of apple to banana is 2:1

What is the perimeter of this shape? A. 16 cm B. 18.5 cm C. 34 cm D. 37 cm

Answers

 the answer is C. 34 cm
the answer is c. 34cm add the lengths of all sides