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3 years ago

9 students volunteer for a committee. How many different 7-person committees can be chosen?

1 answer:

7 0

If order doesn't matter (e.g. all the positions in the committee are essentially identical) then the number of possible choices is $\dbinom97=\dfrac{9!}{7!(9-7)!}=36$ .

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Frank is making a pennant in the shape of a triangle for his senior class photo. He wants the base length of this triangle to be

Sav [38]

Answer:

Height should be ≤ 9 inches.

Step-by-step explanation:

Given:

Frank is making a pennant in the shape of a triangle for his senior class photo.

Base of triangle = 6 in

Area of triangle ≤ 27 $in^2$

Let height of the triangle be h

Now we now that,

Area of triangle = $\frac{1}{2}\times base \times height$

$\frac{1}{2}\times 6 \times h \leq 27\\\\3h\leq 27\\\\h\leq \frac{27}{3}\\\\h\leq 9 \ in.$

Hence the height of the triangle must be at most or ≤ 9 inches.

5 0

3 years ago

asma owns $52000 in student loans for college. if the loan will be repaid in 5.5 years and the interest rate charged is 6.75% th

Ahat [919]

I=$52,000 R=6.75% T=5.5 years P=$19,305

3 0

3 years ago

PLS HELP IF YOU WANT

Nastasia [14]

Answer:45 * t = 2.5 * (1-t)...the equation will have one solution.

Step-by-step explanation:

For this case, the first thing you should know is:

d: v * t

Where,

d: distance

v: speed

t: time

To go to school by bus we have:

d = 45 * t

To return from school we have:

d = 2.5 * (1-t)

how the distance is the same:45 * t = 2.5 * (1-t)

3 0

3 years ago

Read 2 more answers

List the first 5 terms of the sequence -3n -2.<br>

katrin2010 [14]

Answer:

-5,-8,-11,-14,-17

Step-by-step explanation:

-3n -2

n=1 -3(1) -2 = -3-2 = -5

n=2 -3(2) -2 = -6-2 = -8

n=3 -3(3) -2 = -9-2 = -11

n=4 -3(4) -2 = -12-2 = -14

n=5 -3(5) -2 = -15-2 = -17

7 0

3 years ago

Read 2 more answers

The product of a binomial and trinomial is x^3+3x^2-x+2x^2+6x-2 which expression is equivalent to this product after it has been

Debora [2.8K]

Answer: First option.

Step-by-step explanation:

You know that the product obtained by multiplying a binomial and a trinomial is:

$x^3+3x^2-x+2x^2+6x-2$

Then, in order to simplify this product, it is necessary to add the like terms.

Therefore, the expression that is equivalent to this product after it has been fully simplified is:

$=x^3+(3x^2+2x^2)+(6x-x)-2\\\\=x^3+5x^2+5x-2$

You can observe that this matches with the first option.

9 0

3 years ago