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2 years ago

What is the volume of a prism with the length and width of x and a height of 1/2 x

Mathematics

1 answer:

polet [3.4K]2 years ago

3 0

Answer:

1 1/2x or 1.5x

Step-by-step explanation:

x*x*1/2*x is 1.5x or 1 1/2x

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Ronch [10]

Answer:

Step-by-step explanation:

<h3>Question:-</h3>

To find the Binomial theorem form of $\bold{(4t-3)^{5}}$

As in Binomial theorem :-

${(x - y)}^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5}$

<h3>Solution :-</h3>

$= {(4t - 3)}^{5}$

Hence, on using the Binomial theorem,

$= {(4t)}^{5} - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3} {(3)}^{2} - 10 {(4t)}^{2} {(3)}^{3} + 5(4t) {(3)}^{4} - {(3)}^{5}$

On formatting

$= {1024t}^{5} - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2} )(27) + 5(4t) (81) - 243$

On further formatting.

$= {1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

Hence, the required answer is :-

${1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

6 0

2 years ago

how many pounds of candy worth $12 per pound should be mixed with candy costing $19 per pound to produce a 70 pound mixture that

sweet-ann [11.9K]

Answer:

40 pounds

Step-by-step explanation:

Given: Cost of a candy $(c_1)$ = $\$ 12$ per pound

Cost of candy $(c_2) = \$ 19\ per\ pound$

Total amount of mixture of be produced = $70\ pound$

Selling price of mixture = $\$ 15 \ per\ pound$

Let´s x be the amount of $c_1$ to be mixed in the mixture.

∴ Cost of $c_1$ in the mixture = 12x

Next, Cost of $c_2$ in the mixture = $(70 - x)\times 19$

And we know the cost of final mixture = $70 \times 15 = 1050$

Now, putting all the value in the equation

⇒ $12x + 19 \times (70 - x) = 1050$

⇒ $1330 - 7x = 1050$

⇒ $-7x = -280$

∴ $x = 40\ pound$

∴ 40 pounds of candy worth $12 per pound to be mixed in the mixture.

6 0

3 years ago

How much is 7.332 rounded to the nearest hundredth urgent and for math test please give me right answer

tensa zangetsu [6.8K]

Answer:

should be 7.33

Step-by-step explanation:

sorry if I'm wrong im like 100% its the answer but for some reason its not then I am very sorry

8 0

2 years ago

Read 2 more answers

What is the midpoint of the segment shown below?

Bogdan [553]

C. 5/2, 3 this is the answer

3 0

3 years ago

Read 2 more answers

In ABC, what is the measure of angle B?

NeX [460]

Answer:

Step-by-step explanation:

The sum of two remote interior angles (a remote interior angle is the interior angle that is not supplementary to the exterior angle given -- in this case A and B are remote angles) equals the exterior angle.

In This case A + B = 140

A = x + 2

B = 2x

x +2 + 2x = 140

3x + 2 = 140 Subtract 2 from both sides

3x = 138 Divide by 3

x = 138/3

x = 46

<B = 2x

<B = 2*46

<B = 92

6 0

2 years ago