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PIT_PIT [208]
3 years ago
15

If ,. The volume of tetrahedron whose three adjacent sides are represented by vectors is, where means angle between.

Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:Given | a⃗ | = | c⃗ | = | c⃗ | = 2 Angle between a⃗ and b⃗ is pi3 a⃗·b⃗ = | a⃗ | | b⃗ |co

Step-by-step explanation:

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A caterer provides a conference banquet for a price of $40 per person for 20 or fewer people but will decrease the price by $1 p
mel-nik [20]

Answer:

The maximum revenue is $900, obtained with 30 people

Step-by-step explanation:

Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.

f(x) = x*(40-(x-20)) = -x²+60x

Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).

f is quadratic with negative main coefficient and its maximum value will be reached at the vertex.

The value of the x coordinate of the vertex is -b/2a = -60/-2 = 30

for x = 30, f(x) = 30*(40-(30-20))=30*30=900

So the maximum revenue is $900.

7 0
3 years ago
I need the answer to b and c. Pls Help!
mina [271]

Answer:

b) ? = 0

c) ? = 10

Step-by-step explanation:

By observing the equations, we notice a pattern. The resulting number is always equal to one number doubled added to the other number. Therefore, set up two equations as follows:

2(7)+y=14

2x+3=23

Assume that the provided number is the doubled number if it is a perfect factor, with 2, and assume the provided number is not the provided number if the difference between the answer and it is an even number.

Solve:

14+y=14

y=0

2x+3=23

2x=20

x=10

6 0
3 years ago
Simplify the expression in detail plz
gayaneshka [121]
<span>(18<span>t<span><span>​^2</span><span>​​ </span></span></span>+ 9<span>t^<span><span>​2</span><span>​​</span></span></span>) + (−7t −3t) + 20

</span><span><span>27<span>t<span><span>​^2</span><span>​​ </span></span></span>− 10t + 20</span><span>
</span></span><span>

</span>
5 0
3 years ago
Need help ASAP will give brainliest
suter [353]

Answer:

the second one :)

Step-by-step explanation:

6 0
3 years ago
What is the y-intercept of y= -3x
dybincka [34]

Answer:

(0,0) is the y intercept

7 0
3 years ago
Read 2 more answers
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