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3 years ago

If 1 over 5 gallons of water fills 2 over 3 of an container, how much water will fill the whole container?

Mathematics

1 answer:

nekit [7.7K]3 years ago

4 0

Answer:

3/4

Step-by-step explanation:

Let V be the volume of the container.

(2/3)v=(1/2)

V = 1/2//2/3 = 1/2 times 3/2

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Round 146.56 to the nearest tenth.

Georgia [21]

146.6. Nearest tenth is one place after the decimal.

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3 years ago

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What is the inverse of the function g(x) = x^3/8 + 16 ?

lesya692 [45]

Answer:

$\hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\$

• let f(x) be m:

${ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\$

• make x the subject of the function:

${ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}$

• therefore:

${ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\$

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3 years ago

What is the value of the expression? 9^2÷(-3)^0

stiv31 [10]

Step 1. Simplify 9^2 to 81
81 <span>÷ (-3)^0
Step 2. Use Rule of Zero: x^0 = 1
81 </span><span>÷ 1
Step 3. Simplify
81</span>

5 0

3 years ago

Karrem says that the ratio 4:1 is eqivilent to the ratio of 12:9 because 4+8=12 and 1+8 =9 is karreem correct

Mariana [72]

Answer:

No, Kareem is incorrect.

Step-by-step explanation:

Kareem says that the ratio of $\frac{4}{1}=\frac{12}{9}$ because 4 + 8 = 12 and 1 + 8 = 9

But the correct way to rewrite the ratio 4 : 1 is,

$\frac{4}{1}=\frac{4\times 3}{1\times 3}$

Which becomes as,

$\frac{4}{1}=\frac{12}{3}$

Therefore, Kareem is not correct.

Correct ratio equivalent to 4 : 1 is 12 : 3.

8 0

2 years ago

Write the equation of the circle with center (0, 6) and radius 1.

lions [1.4K]

This is an equation in STANDARD form for a circle:

(x-h)^2 + (y-k)^2 = r^2

The values of (h, k) are the center point of the circle. When they are put into an equation, their symbols flip as in, if they are positive on a graph, they become negative in the equation and vice versa.

The value (r) is the radius and is squared in the equation. In this case, the square root of 1 is 1.

(x)^2 + (y-6)^2 = 1

4 0

3 years ago