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3 years ago

Tina mailed a package in a container shaped like a

Mathematics

1 answer:

Inessa [10]3 years ago

3 0

Answer:

The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given

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A polynomial is a sum (with some coefficients) of powers of

, so, if we expand the product just written, we have

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)

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)

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)

(

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Which is a polynomial, and expresses the volume of the prism

Step-by-step explanation:

The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given

(

)

(

−

)

(

−

)

A polynomial is a sum (with some coefficients) of powers of

, so, if we expand the product just written, we have

(

)

(

−

)

(

−

)

(

−

)

(

−

)

(

−

)

(

−

)

−

Which is a polynomial, and expresses the volume of the prism

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A quantity and its 2/3 are added together and from thesum 1/3 of the sum is subtracted, and 10 remains.What is the quantity?

musickatia [10]

Answer:

$14\frac{1}{3}$

Step-by-step explanation:

Let's write this out as an equation. Let the unknown quantity be x:

$x+\frac{2}{3} - \frac{1}{3} (x+\frac{2}{3}) = 10\\\\3x+2-x -\frac{2}{3} = 30\\\\9x+6-3x-2=90\\\\6x= 86\\\\x = \frac{86}{6} =\frac{43}{3} =14\frac{1}{3} \\$

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3 years ago

Read 2 more answers

The quadratic function d= -4x+1,100 models a snowboarder's distance, in feet, from the bottom of a hill x seconds after the snow

Fynjy0 [20]

Answer:

16 seconds (Approximately)

Step-by-step explanation:

Given:

The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

$d=-4x^2+1100$

Final position of the snowboarder is $d=100\ ft$

Now, plugging in 100 for 'd' and solving for 'x', we get:

$100=-4x^2+1100$

Adding -1100 both sides, we get:

$100-1100=-4x^2+1100-1100\\-1000=-4x^2$

Dividing both sides by -4, we get:

$\frac{4x^2}{4}=\frac{1000}{4}\\x^2=250$

Taking square root and neglecting the negative root as time can't be negative. So,

$\sqrt{x^2}=\sqrt{250}\\x=5\sqrt{10}=15.8\ s\approx 16\ s$

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.

7 0

3 years ago

Elena randomly chooses a number from 1 to 10. What is the probability she chooses a number greater than 5?

zepelin [54]

ANSWER

$P(E)=\frac{1}{2}$

EXPLANATION

From the given information, Elena chooses a number from 1 to 10.

The sample space is

S={1,2,3,4,5,6,7,8,9,10}

n(S)=10

The numbers greater than 5 are:

E={6,7,8,9,10}

n(E)=5

The probability that, she chooses a number greater than 5 is:

$P(E) = \frac{n(E)}{n(S)}$

Substitute the values,

$P(E) = \frac{5}{10}$

$P(E) = \frac{1}{2}$

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Soloha48 [4]

Answer:

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2 years ago

Give an example of an equation that is true.

bonufazy [111]

Answer:

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Step-by-step explanation:

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