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3 years ago

A type of restaurant menu that has all components of a meal (meat, starch, vegetable) priced

Mathematics

2 answers:

kifflom [539]3 years ago

6 0

Answer:

A. fixed

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Jlenok [28]3 years ago

5 0

Answer:

a. fixed is the answer

Step-by-step explanation:

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Quadrilateral BCDE is inscribed in circle A. EBC and BCD measure

anzhelika [568]

Answer: 101.14

Step-by-step explanation:

4 0

3 years ago

The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s

Norma-Jean [14]

The positions when the particle reverses direction are:

$s(t_1)=55ft\\\\s(t_2)=28ft$

The acceleraton of the paticle when reverses direction is:

$a(t_1)=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=18\frac{ft}{s^{2}}$

Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

$s(t)=2t^{3}-21t^{2}+60t+3$

So,

- Derivating to get the velocity function, we have:

$v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60$

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

$v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s$

We know that the particle reversed its direction two times.

- Derivating the velocity function to find the acceleration function, we have:

$a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42$

Now, substituting the times to calculate the accelerations, we have:

$a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}$

Now, substitutitng the times to calculate the positions, we have:

$s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft$

Have a nice day!

3 0

3 years ago

Help I need answers

natali 33 [55]

We can easily work out the meter reading in October. It comes out to be 32347 + 972. So the reading in October must be around 33319.

SO the answer to second question is really easy to figure out too. As we know that one unit costs 14 p we can simply multiply the cost with the number of units consumed.

So for 972 units if we multiply by 14 we get the cost to be around somewhere 13608 p.

6 0

3 years ago

Factor: k^2 + 7x + 10 A:(k+10)(k+4) B:(k+2)(k+5) C:(k+2)(k-5) D:(k-2)(k-5)

Nata [24]

Answer:

the answer is B. (k+2)(k+5)

7 0

3 years ago

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you are building a sand castle and want to use a cylindrical bucket that holds 885 cubic inches of sand. if the bucket has a hei

natulia [17]