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Irina-Kira [14]
3 years ago
11

In this week's episode of the TV show Strange Science Fiction, a metal cube arrives from outer space. Government scientists meas

ure the cube and find that it is exactly 6 meters on all sides. What is the volume of the metal cube from outer space?
Mathematics
1 answer:
Viktor [21]3 years ago
8 0

Answer:

216 meters

Step-by-step explanation

6×6×6=216 meters

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A TV has a listed price of $708.99 before tax. If the sales tax rate is 9.75% , find the total cost of the TV with sales tax inc
lakkis [162]

Answer:

$778.12

Step-by-step explanation:

Before Tax Price: $708.99

Sale Tax: 9.75% or $69.13

After Tax Price: $778.12

3 0
2 years ago
Binomial Theorem, proof
IrinaVladis [17]

It follows from the definition of the binomial coefficient:

\dbinom nr=\dfrac{n!}{r!(n-r)!}

So we have

(n+1)\dbinom nr=(n+1)\dfrac{n!}{r!(n-r)!}=(r+1)\dfrac{(n+1)!}{(r+1)!(n-r)!}

That is, (n+1) gets absorbed into the numerator's factorial, and we introduct (r+1) into the denominator. Now, (n+1)-(r+1)=n-r, so we get

(n+1)\dbinom nr=(r+1)\dfrac{(n+1)!}{(r+1)!((n+1)-(r+1))!}=(r+1)\dbinom{n+1}{r+1}

as required.

4 0
3 years ago
When six times the larger of two numbers is added to seven times the smaller, the result is 114. Ten times the larger less nine
mina [271]

Answer:

Step-by-step explanation:

Let the larger number = x

Smaller number = y

6x + 7y = 114 ------------(I)

10x - 9y = 66 ------------(II)

Multiply equation (I) by 9 and multiply the equation (II) by 7. After that add the two equations. So that, y will be eliminated and we can find the value of x

         (1)*9        54x + 63y = 1026

         (II)*7        <u>70x - 63y  =  462</u>    {Now add}

                        124x           = 1488   {Divide both sides by 124}

                                        x = 1488/124

x = 12

Plugin x =  12 in any of the equation. Here, We are substituting in  equation (I)

6*12 + 7y = 114

  72 + 7y =114

         7y = 114 - 72

         7y = 42

          y = 42/7

y = 6

The numbers are 12 , 6

7 0
3 years ago
Which statement is true regarding the graphed functions?
anyanavicka [17]

Answer:

the last option: f(-2)=g(-2)

Step-by-step explanation:

Make sure you have the numerical answer for each of the functional expressions that are shown among the possible solution choices:

f(4) = -14  (what the blue function reads  [its y-value] when x is 4)

g(4) = 10  (what the red function reads [its y-value] for x=4)

g(-2) = 4 (y-value of the red function when x is -2)

f(2) = -8 (y-value of the blue function for x = 2)

f(-2) = 4 (y-value of the blue function for x =-2)

use them to compare the options they give you, and the only one that matches is the last option.

3 0
3 years ago
Help me please I need help and its due soon
marshall27 [118]

Answer:

1/2 4 ( I believe it's the correct answer, forgive me if I'm wrong)

4 0
3 years ago
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