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3 years ago

Expand and simplify 3(C - 2d) - 2(2C - 3d).

Mathematics

2 answers:

Andreas93 [3]3 years ago

7 0

Answer:

-C

Step-by-step explanation:

3(C - 2d) - 2(2C - 3d).

Distribute

3C - 6d - 4C +6d

Combine like terms

3C -4C -6d +6d

-C

Kisachek [45]3 years ago

6 0

Answer:

-C

Step-by-step explanation:

3(C - 2d) - 2(2C - 3d) =

= 3C - 6d - 4C + 6d

= 3C - 4C - 6d + 6d

= -C

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Mashcka [7]

Answer:

$\frac{110}{3}$ or $36\frac{2}{3}$

Step-by-step explanation:

8 0

3 years ago

This image shows a reconstruction of pyramid with a square base what is the best estimate for the volume of the pyramid

goblinko [34]

The answer fam is .........<span>2,433,400 m3</span>

7 0

3 years ago

Read 2 more answers

Please help me!

Pie

Answer:

1) y = 0.3x + 1000

2) slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3) y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4) The salary is $2500

Step-by-step explanation:

monthly salary = fixed part + variable part

The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.

The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x

Let the monthly salary = y.

y = 1000 + 0.3x

y = 0.3x + 1000

slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

In this case, x = 5000

y = 0.3x + 1000

y = 0.3(5000) + 1000

y = 1500 + 1000

y = 2500

The salary is $2500.

6 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

Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 l

kvv77 [185]

<h3>Answer: 21600 </h3>

==========================================================

Explanation:

There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.

There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.

Overall, we have 30*720 = 21600 different serial numbers possible.

3 0

3 years ago

Expand and simplify 3(C - 2d) - 2(2C - 3d).​

Expand and simplify 3(C - 2d) - 2(2C - 3d).