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3 years ago

An enrolling high school student has the following subjects to open to her:

2 answers:

8 0

So we notice that they increase by 1
each time
first slot we have all of them so
4 choices=1st slot
3 choices=2nd slot (1 was taken for 1st slot)
2 choices
1 choice
multiply
4 times 3 times 2 times 1=24
answe ris 24 ways

ikadub [295]3 years ago

8 0

From the other answer, I see that my colleague with the busted clock
interpreted your question in a different way. So I should explain
how I understand your question.

I understand you to say that both English sections meet at the
same time, all 3 math sections meet at the same time, all 3 History
sections meet at the same time, and all 4 Biology sections meet at
the same time. So our student will take the subjects in that order,
but for each period, she can choose which section to join.
If that's not the right way to understand the question, then it's definitely
too complicated for me.

Reading it MY way,
here's the solution:

English: 2 choices. For each of those . . .
Math: 3 choices. For each of those . . .
History: 3 choices. For each of those . . .
Biology: 4 choices.

Total possible different line-up of sections:

(2 x 3 x 3 x 4) = 72 different line-ups.

You might be interested in

Give the function 12x-16y=-48 determine the x-and y intercepts of the graph

Sholpan [36]

For the x-int, replace y with 0
for the y-int, replace x with 0

x-int:
12x-16(0)=-48
12x=-48
x=-4

y-int:
12(0)-16y=-48
-16y=-48
y=3

8 0

3 years ago

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software,

vichka [17]

Answer:

A(-1,0) is a local maximum point.

B(-1,0) is a saddle point

C(3,0) is a saddle point

D(3,2) is a local minimum point.

Step-by-step explanation:

The given function is

$f(x,y)=x^3+y^3-3x^2-3y^2-9x$

The first partial derivative with respect to x is

$f_x=3x^2-6x-9$

The first partial derivative with respect to y is

$f_y=3y^2-6y$

We now set each equation to zero to obtain the system of equations;

$3x^2-6x-9=0$

$3y^2-6y=0$

Solving the two equations simultaneously, gives;

$x=-1,x=3$ and $y=0,y=2$

The critical points are

A(-1,0), B(-1,2),C(3,0),and D(3,2).

Now, we need to calculate the discriminant,

$D=f_{xx}(x,y)f_{yy}(x,y)-(f_{xy}(x,y))^2$

But, we would have to calculate the second partial derivatives first.

$f_{xx}=6x-6$

$f_{yy}=6y-6$

$f_{xy}=0$

$\Rightarrow D=(6x-6)(6y-6)-0^2$

$\Rightarrow D=(6x-6)(6y-6)$

At A(-1,0),

$D=(6(-1)-6)(6(0)-6)=72\:>\:0$ and $f_{xx}=6(-1)-6=-18\:$

Hence A(-1,0) is a local maximum point.

See graph

At B(-1,2);

$D=(6(-1)-6)(6(2)-6)=-72\:$

Hence, B(-1,0) is neither a local maximum or a local minimum point.

This is a saddle point.

At C(3,0)

$D=(6(3)-6)(6(0)-6)=-72\:$

Hence, C(3,0) is neither a local minimum or maximum point. It is a saddle point.

At D(3,2),

$D=(6(3)-6)(6(2)-6)=72\:>\:0$ and $f_{xx}=6(3)-6=12\:>\:0$

Hence D(3,2) is a local minimum point.

See graph in attachment.

3 0

3 years ago

The answer is 4,6,7

gtnhenbr [62]

Answer:

Nice for you

Step-by-step explanation:

Nice for you

5 0

3 years ago

SOMEONE PLEASE HELP ME I WILL GIVE YOU BRAINLY

Ivanshal [37]

Step-by-step explanation:

a scatter plot with no association

7 0

3 years ago

2. 8.SP.1.2

andrew11 [14]

Answer:

Step-by-step explanation:

A. because the line of best fit has to be at best fit between the points so is a good approximation of where all the points are heading when you try to predict something.

8 0

3 years ago