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Sveta_85 [38]
2 years ago
14

Which expression is equivalent to 4^-5 • 3^-5 ?

Mathematics
1 answer:
valkas [14]2 years ago
7 0

The expression equivalent to 4^-5 • 3^-5  is 12^-5

<h3>What are equivalent expressions?</h3>

Equivalent expressions are simply known as expressions with the same solution but different arrangement.

Given the index expressions;

4^-5 • 3^-5

Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.

This can be written as;

4(3) ^ -5

expand the bracket

12^-5

Thus, the expression equivalent to 4^-5 • 3^-5  is 12^-5

Learn more about equivalent expressions here:

brainly.com/question/24734894

#SPJ1

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Y is one-tenth of x.<br> The equation is y=?
nignag [31]

Answer:

x over 10

Step-by-step explanation:

y is one-tenth (/10) of x

y = x / 10

x over 10 is your answer

Hope this helps!

5 0
3 years ago
Flying against the wind, an airplane travels 4560 kilometers in 6 hours. Flying with the wind, the same plane travels 3720 kilom
Flura [38]

Answer:

The speed rate of the plane in still air is 1006.67 km/h

The speed rate of the wind is 246.67 km/h

Step-by-step explanation:

To answer the question, we let the speed of the plane in still air = x  km/h

Let the speed of the wind = y km/h

Therefore,

4560/(x - y) = 6 hours and

3720/(x + y) = 3 hours

4560 = 6·x - 6·y.........(1)

3720 = 3·x + 3·y ........(2)

Multiplying equation (2) by 2 and add to (1) gives

12080 = 12·x

x = 12080/12 = 1006\frac{2}{3} km/h

Substituting the value of x in (1) gives

4560 = 6040 - 6·y

6·y = 1480

y = 1480/6 =  246\frac{2}{3}

The speed rate of the plane in still air = 1006.67 km/h

The speed rate of the wind = 246.67 km/h.

7 0
4 years ago
Perform the operation and write the answer in simplest form. 2 1/5 ÷ 31/5
Vinil7 [7]

<u>Answer:</u>

\frac{11}{31}

<u>Step-by-step explanation:</u>

We are given the following expression and we are to perform operation and write the answer in simplest form:

\frac { 2 \frac { 1 } { 5 } } { \frac { 31 } { 5 } }

Changing the mixed fraction into improper fraction:

2\frac{1}{5} ---> \frac{11}{5}

Now simplifying it:

\frac { \frac { 1 1 } { 5 } } { \frac { 31 } { 5 } }

Changing the division sign to multiplication by taking the reciprocal of the denominator:

\frac{11}{5} \times \frac{5}{31}

\frac{11}{31}

5 0
3 years ago
Read 2 more answers
If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price
Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

P = 170 - Q

The Marginal cost is given by

MC = 52

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2

The Marginal revenue is the derivative of the Total revenue,

MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\

Assuming that the monopolist maximizes profits,

MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59

Therefore, the quantity is 59 units.

The price of each good is

P = 170 - Q \\\\P = 170 - 59 \\\\P = 111

Therefore, the price is $111.

3 0
4 years ago
Laura went to a golf shop that has a golf simulator. The simulator estimates the distance that each ball she hits would have gon
emmainna [20.7K]
You didn’t post the question. If you post the questions, I can help.

Also, I think you can search the question and find the answers… I remember doing this one.
3 0
3 years ago
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