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2 years ago

9

8x ≤ -32 Solve the inequality . x <

1 answer:

IrinaK [193]2 years ago

8 0

$8x \leq -32 \\x\leq -4$

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A cylindrical milk storage tank needs to be built to hold 84.78 cubic feet of milk. The foundation for the tank has already been

Romashka [77]

Answer:

3 or 2.999 (probably 3)

Step-by-step explanation:

So the volume of a cylinder = πr^2 * h

h = height

r = radius

now we know the radius. Leaving us with a simple equation which is:

π*9*h = 9π*h = 84.78 =

π*h = 9.42

h = 9.42 / π = 2.99847912785......

but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.

Reference my work if you're are confused, however, it's really messy so sorry about that.

8 0

2 years ago

Write the expression using rational exponents. Then simplify and convert back to radical notation.

ioda

Answer:

The radical notation is $3x\sqrt[3]{y^2z}$

Step-by-step explanation:

Given

$\sqrt[3]{27 x^{3} y^{2} z}$

Step 1 of 1

Write the expression using rational exponents.

$\sqrt[n]{a^{m}}=\left(a^{m}\right)^{\frac{1}{n}}$

$=a^{\frac{m}{n}}:\left({27 x^{3} y^{2} z})^{\frac{1}{3}}$

$(a \cdot b)^{r}=a^{r} \cdot b^{r}:(27)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$

$=$(3^3)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$$

$=\left(3\right)\left(x}\right)} \cdot\left(y}\right)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

Simplify $3 x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3 x \sqrt[3]{y^{2} z}$

Learn more about radical notation, refer :

brainly.com/question/15678734

4 0

2 years ago

HELPPPPPPPPPPPPPppppppppp number 4

astraxan [27]

Answer:

3 dots

Step-by-step explanation:

This should be correct due to there only being 3 100% on the table

7 0

2 years ago

Please please help fast , thank you !

Tresset [83]

Answer:

2>x

y>-1

Step-by-step explanation:

assume y=0 when finding x and vice versa

4 0

2 years ago

Guwani invested some money in a bank at rate of 6% per annum. At simple interest, after 9 years, she got Rs. 8470. How much did

IRINA_888 [86]

Answer:

Rs.5500 is the correct answer .

4 0

2 years ago