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3 years ago

9

What is the length of a side of a cube with a volume of 216 in3? inches

1 answer:

yuradex [85]3 years ago

5 0

6 in is the length cause yhu have to multiply

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X squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?

cluponka [151]

Answer:

$x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}$ and $y=-1,\frac{1}{2}$

The ordered pair solutions are $(-\sqrt{\frac{7}{4}},0.5)$ , $(\sqrt{\frac{7}{4}},0.5)$ , $(-1,-1)$ , and $(1,-1)$ .

Step-by-step explanation:

I'm assuming the system is $\left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.$ :

$x^2+y^2=2$

$x^2+(2x^2-3)^2=2$

$x^2+(4x^4-12x^2+9)=2$

$x^2+4x^4-12x^2+9=2$

$4x^4-11x^2+9=2$

$4x^4-11x^2+7=0$

$x^4-11x^2+28=0$

$(x^2-7)(x^2-4)=0$

$(4x^2-7)(x^2-1)=0$

$4x^2-7=0$

$4x^2=7$

$x^2=\frac{7}{4}$

$x=\pm\sqrt{\frac{7}{4}}$

$x^2-1=0$

$x^2=1$

$x=\pm1$

$y=2x^2-3$

$y=2(\pm\sqrt{\frac{7}{4}})^2-3$

$y=2({\frac{7}{4}})-3$

$y=\frac{7}{2}-3$

$y=\frac{1}{2}$

$y=2x^2-3$

$y=2(\pm1)^2-3$

$y=2(1)-3$

$y=2-3$

$y=-1$

Therefore, $x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}$ and $y=-1,\frac{1}{2}$

The ordered pair solutions are $(-\sqrt{\frac{7}{4}},0.5)$ , $(\sqrt{\frac{7}{4}},0.5)$ , $(-1,-1)$ , and $(1,-1)$ .

4 0

2 years ago

Alice takes 6 cups of flour to make 4 loaves of bread.What is the ratio of loaves to flour

tatiyna

4 loaves : 6 cups

That simplifies to 2 loaves : 3 cups

So, your ratio is 2:3

4 0

3 years ago

A dealer bought an item for $20 sold it for 24 bought it for 25

yuradex [85]

Answer:

$3

Step-by-step explanation:

Started with $20 Sold for $24 Bought it for $25 Then sold it for $28

so, $24 -$20= so she made $4.

then she bought it for $25-$24= so she only made $1

Finally she sold it for $28-$25 so she made a total of $3

6 0

2 years ago

Without graphing is the system independent, dependent, or inconsistent?

rewona [7]

Y = -2 x - 9
3 x - 4(-2 x - 9 ) = -8
3 x + 8 x + 36 = - 8
11 x = - 44, x = - 4
y = 8 - 9 , y = -1
This is a unique solution, the system is independent.

3 0

3 years ago

Question set 2: Many species of terrestrial tree frogs that hibernate at or near the ground surface can survive prolonged exposu

joja [24]

Answer:

0.86

Step-by-step explanation:

The z-score we need to make the comparison is given by

$\bf z=\frac{-2.05-(-2)}{\sigma/\sqrt{n}}$

where

$\bf \sigma$ = the standard deviation established in the study

n = the sample size

$\bf z=\frac{-2.05-(-2)}{0.3/\sqrt{42}}=-1.0801$

and for the Normal distribution N(0,1) we want to find

<em>P(X > -1.0801) </em>

By using a spreadsheet or the table attached, we find that

P(X > -1.0801) = 0.86

(See picture attached)

7 0

3 years ago