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Soloha48 [4]
2 years ago
6

There are 15 students in a social studies class. Two students will be selected to present their term projects today. In how many

different orders can two students be selected?
Mathematics
1 answer:
xz_007 [3.2K]2 years ago
5 0
Given:
15 students
2 students must be chosen.
No repetition, no order

This is a combinations problem. We use this formula: n! / (n-r)!(r!)

n = 15 ; r = 2

15! / (15-2)!(r!) ⇒ 15! / 13! * 2! = 105 
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2(x + 1 ) - 3(x + 5) ≥ 0<br> pls help
Furkat [3]

Answer:

x≤−13

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

6 0
2 years ago
Can someone explain the process getting from:
spin [16.1K]
\rm 5=e^{3b}

The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.

We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
so we'll take log base e of each side.

\rm log_e(5)=log_e(e^{3b})

We'll apply one of our log rules next:
\rm \log(x^y)=y\cdot\log(x)

This allows us to take the exponent out of the log,

\rm log_e(5)=(3b)log_e(e)

Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
\rm log_{10}(10)=1
\rm log_5(5)=1
\rm log_e(e)=1

So our equation simplifies to this,

\rm log_e(5)=(3b)\cdot1

As a final step, divide both sides by 3,

\rm \frac13log_e(5)=b

k, hope that helps!


6 0
3 years ago
Which figure is shown
Ainat [17]

Answer:

pyramid

Step-by-step explanation:

plz make me brainliest

7 0
3 years ago
PLEASE HURRY!
crimeas [40]

Answer:

A

Step-by-step explanation:

+7 means go up

if the graph was 7x, the graph enlarges by a factor of 7

6 0
3 years ago
Read 2 more answers
Examine this figure. Which two pieces of information, if true, would help to prove that ΔLMP ≅ ΔNMP by HL? Select two options.
lidiya [134]

Answer:

2. Line MK is the perpendicular bisector of LN.

3. ML ≅ MP

4. ML ≅ MN

Step-by-step explanation:

To prove that ΔLMP ≅ ΔNMP by HL.

The second option or statement states that :

Line MK being the perpendicular bisector of LN then it will explain that angles PML and PMN are right angles. Thus, they are congruent.

Statement 3 and 4 says that

ML, MP, and MN are congruent. Since ML is congruent to MP and MN both. Thus conclude that triangle ΔLMP ≅ ΔNMP by HL

Thus, the correct answer  - option 2, 3, and 4.

6 0
2 years ago
Read 2 more answers
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