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Aloiza [94]
3 years ago
8

Find the number of different ways that an instructor can choose 6 students from a class of 31 students for a field trip.

Mathematics
1 answer:
kompoz [17]3 years ago
8 0

Answer:

186.

Step-by-step explanation:

By multiplying six by thirty one, you'll get every single way the instructor can choose six students from a class of thirty one students for a field trip.

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Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 7x2 + y2 and the
Akimi4 [234]
Letting x=t, we get y=3x^2=3t^2 and z=7x^2+y^2=7t^2+(3t^2)^2=7t^2+9t^4, so we can parameterize the intersection by

\mathbf r(t)=\langle t,3t^2,7t^2+9t^4\rangle

where -\infty.

Image attached.

5 0
3 years ago
8|7+(-10)<br> Simplify:<br> 2-32
amid [387]

Answer:

8|7+(-10)=24  2-32= − 30

Step-by-step explanation:

6 0
3 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
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Answer:

See explanation

Step-by-step explanation:

1. Factor the function f(x)=-2x^2+16x-30:

f(x)=-2x^2+16x-30=-2x^2+6x+10x-30=-2x(x-3)+10(x-3)=-2(x-3)(x-5).

2. The zeros (or the solutions of the equation f(x)=0) are x=3 and x=5. So? points (3,0) and (5,0) are the points on the graph that are the solutions of the equation.

3. Find the vertex:

x_v=-\dfrac{b}{2a}=-\dfrac{16}{2\cdot (-2)}=4,\\ \\y_v=-2\cdot 4^2+16\cdot 4-30=-32+64-30=2.

Thus, the coordinates of the vertex are (4,2) and the axis of symmetry is the vertical line that passes trough the vertex: x=4.

3 0
3 years ago
The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, find the mean of the remaining three
ser-zykov [4K]

Answer: 81

Step-by-step explanation:

Mean of four nos = 85

Score = 85 x 4 = 340

Deduct 97 from 340 = 243

Mean of three nos. 243/3 = 81

3 0
3 years ago
Use the distributive property to solve the expression. Combine like terms if necessary
Kisachek [45]

Answer:

12x-6

Step-by-step explanation:

6 0
3 years ago
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