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ehidna [41]
4 years ago
6

A dance instructor chose four of his 10 students to be on stage for a performance. If order does not matter, in how many differe

nt ways can the instructor choose the four students? 10 C 4 = StartFraction 10 factorial Over (10 minus 4) factorial 4 factorial 210 1,260 6,300 25,200
Mathematics
1 answer:
Juliette [100K]4 years ago
3 0

Answer:

210

Step-by-step explanation:

10x9x8x7x6x5x4x3x2x1 divided by 6x5x4x3x2x1x4x3x2x1=

(Take out 1 through 6 on both sides)

10x9x8x7 divided by 4x3x2x1=

5040 divided by 24=

210

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A polynomial of degree 4 in y has at most
Kitty [74]

Answer:

C.

Step-by-step explanation:

The highest term must be of x^4, then decreasing to x^3, x^2, x and the constant term.

Altogether there are at maximum 5 terms.

5 0
4 years ago
Read 2 more answers
34 in.
Troyanec [42]

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = \sqrt{1156-256}

     = \sqrt{900}

     = 30 in.

Perimeter of the triangular base = AB + BC + AC

                                                      = 16 + 30 + 34

                                                      = 80 in

Lateral surface area = 80 × 22

                                  = 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = \frac{1}{2}(\text{Base})(\text{Height})

                                                           = \frac{1}{2}(30)(16)

                                                           = 240 in²

Total surface area = 1760 + 2(240)

                               = 1760 + 480

                               = 2240 in²

Volume = Area of the triangular base × Height

             = 240 × 20

             = 4800 in³

6 0
3 years ago
write the eqaution in slope intercept form of the line that has a slope of 2 and contains the point (4,2)
GalinKa [24]
Slope intercept form:
y=mx+b
m=slope
b=y-intercept:

We Know the slope (m=2)and we have a point (4,2) then:
x₀=4
y₀=2
we have to find "b"
y=mx+b
2=2(4)+b
8+b=2
b=2-8
b=-6

Therefore:
if b=-6 and m=2; the equation in slope intercept form would be:
y=2x-6

<span>Answer: y=2x-6</span>
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3 years ago
F(x)=-4x+9 g(x)=-3x^2+5x+9, Find f(x)•g(x)
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Hi, answer to your functional equation on the photo

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