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faust18 [17]
3 years ago
15

Simplify: ( 6 to the second power minius 7 times 3 ) + 3 cubed

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Answer:

42

Step-by-step explanation:

6 to the second power minius 7 times 3 is 15 then with is cubed it would be 42

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What is k in this proportional relationship?
Zolol [24]

Answer:

60

Step-by-step explanation:

K is the constant of proportionality or unit rate

(x, y)

(0, 0)

(2, 120)

(3, 180)

(4, 240)

120/2=60

180/2=60

240/2=60

The constant of proportionality or unit rate is 60

7 0
3 years ago
Read 2 more answers
In step one do you found the volume (in cubic feet) of the main tank(359,006.67). The maximum density of killer whales per cubic
Luba_88 [7]

Answer:

  4 killer whales

Step-by-step explanation:

The dimensional analysis is ...

  (whales/ft³)(ft³/tank) = whales/tank

Putting the numbers with the units, we get ...

  (1.1142·10^-5 whales/ft³)(3.5900667·10^5 ft³/tank) = 4.00005... whales/tank

The maximum number of killer whales allowed in the main show tank is 4.

6 0
3 years ago
Which is not an equation of the line going through (6, 7) and (2, –1)?
garri49 [273]
Answer - D.

you basically find the equation of the line first and eliminate the wrong answers...

Strategy:  before u do any of this, label your coordinates as (X1,Y1) and (X2,Y2) and u can choose any of ur points to be as x1 or x2 or y1 or y1...
basically, I'll choose (6,7) as (x1,y1) and (2,-1) as (x2,y2). SO,

First you have to  find the gradient (m) of the line.
  you do this by using the formula m = Y2-Y1 / X2-X1 (where '/' is division sign) ....
Put the numbers in their respective places and your gradient will be 2x. we put the x after our number to represent it as a gradient as the straight line formula is y = mx+c and you've found the m.
NOW.
use the formula Y-Y1=m(x-x1) to find the equation of the line.Again u can use any Y1 and X1 here but remember your m is 2

replace the digits and solve...Hopefully you'll get sth like this if you use the points (6,7):
Y-7 = 2(x-6) ....
y=2x-12+7...
Y=2x-5! <<<< this is your straight line equation!
Now all u gotta do is rearrange all your options into y = mx+c.
D. is incorrect as it gives us y=2x+5 and not y = 2x-5 unlike the others 
 

Hope you get it!




7 0
3 years ago
Find a cubic function that has the roots 5 and 3-2i
Zolol [24]

Answer:

P(x)=x^3-11x^2+43x-65

Step-by-step explanation:

If the complex number 3-2i is a root of a cubic function, then the complex number 3+2i is a root too. Thus, the cubic function has three known roots 5,\ 3-2i,\ 3+2i and can be written as

P(x)=(x-5)(x-(3-2i))(x-(3+2i)),\\ \\P(x)=(x-5)(x^2-x(3-2i+3+2i)+(3-2i)(3+2i)),\\ \\P(x)=(x-5)(x^2-6x+9-4i^2),\\ \\P(x)=(x-5)(x^2-6x+9+4),\\ \\P(x)=(x-5)(x^2-6x+13),\\ \\P(x)=x^3-11x^2+43x-65.


4 0
3 years ago
What is the area of the triangle shown below?<br><br>(please help, im trying to bring my grades up)​
Tresset [83]

Answer:

65 units²

Step-by-step explanation:

10 × 13 = 130

130 ÷ 2 = 65

3 0
3 years ago
Read 2 more answers
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