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3 years ago

Simplify two b to the power of negative 3?

Mathematics

1 answer:

Serhud [2]3 years ago

3 0

2/b^3 is your answer

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A round barbecue pit is 2 meters in diameter. What is the distance around the barbecue pit?

Lina20 [59]

The length of a circle is equal to 2π * diameter/2, where π = ~3.14. In our case we have 2*(~3.14) = 6.28 meters. So the correct answer is C.

3 0

3 years ago

Paul has $30000 to invest. His intent is to earn 10% interest on his investment. He can invest part of his money at 6% interest

MrRa [10]

Answer:

The amount invested at 6% is $12,857.14

The amount invested at 13% is $17,142.86

Step-by-step explanation:

Let

x ----> the amount invested at 6%

30,000-x -----> the amount invested at 13%

we know that

The interest earned by the amount invested at 6% plus the interest earned by the amount at 13% must be equal to the interest earned by the total amount of $30,000 at 10%

Remember that

$6\%=6\100=0.06$

$13\%=13\100=0.13$

$10\%=10\100=0.10$

The linear equation that represent this situation is

$0.06x+(30,000-x)0.13=0.10(30,000)$

solve for x

$0.06x+3,900-0.13x=3,000\\0.13x-0.06x=3,900-3,000\\0.07x=900\\x=\$12,857.14$$

$x-\$30,000=\$17,142.86$

therefore

The amount invested at 6% is $12,857.14

The amount invested at 13% is $17,142.86

5 0

3 years ago

The point C(2,3) is translated along a vector that is parallel to the line y=3x-2. The translation vector has magnitude square r

qaws [65]

Step-by-step explanation:

The translation vector v can be resolved into its x and y components, where x² + y² = 10 (Pythagoras' Theorem) and y = 3x

(parallel to y = 3x - 2, slope = 3).

We have x² + (3x)² = 10,

=> x² + 9x² = 10, 10x² = 10, x = 1 or x = -1.

When x = 1, y = 3. When x = -1, y = -3.

Therefore 2 possible translation vectors

are (1, 3) or (-1, -3).

First new C' = (2 + (1), 3 + (3)) = (3, 6).

Second new C'= (2 + (-1), 3 + (-3)) = (1, 0).

The possible images are (3, 6) and (1, 0).

4 0

3 years ago

15 is 30% of what number? (Please explain and/or show work)

Mariana [72]

0.30x = 15
x = 15/0.3
x = 50

6 0

3 years ago

Read 2 more answers

Jada and Priya are trying to solve the equation 2/3+x=4

denis-greek [22]

Answer:

Priya is correct. Because 2/3 is being added to x and not multiplied, then subtracting 2/3 from both sides is the correct action.

Step-by-step explanation:

Let's run through solving it that way:

2/3 + x = 4

2/3 - 2/3 + x = 4 - 2/3

0 + x = 4 - 2/3

x = 4 - 2/3

x = 10/3

6 0

3 years ago