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3 years ago

Which number equals (3)^-3? A) -27 B) -9 C) -1/27 D) 1/27

Mathematics

1 answer:

Alecsey [184]3 years ago

7 0

Answer:

the answer is D 1/27

Step-by-step explanation:

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The following is a student’s work when solving for y. There is a mistake in the work. What is the mistake? What is the correct a

laila [671]

Answer:

Part 1

The mistake is Step 2: P + 2·x = 2·y

Part 2

The correct answer is

Step 2 correction: P - 2·x = 2·y

(P - 2·x)/2 = y

Step-by-step explanation:

Part 1

The student's steps are;

Step 1; P = 2·x + 2·y

Step 2: P + 2·x = 2·y

Step 3: P + 2·x/2 = y

The mistake in the work is in Step 2

The mistake is moving 2·x to the left hand side of the equation by adding 2·x to <em>P </em>to get; P + 2·x = 2·y

Part 2

To correct method to move 2·x to the left hand side of the equation, leaving only 2·y on the right hand side is to subtract 2·x from both sides of the equation as follows;

Step 2 correction: P - 2·x = 2·x + 2·y - 2·x = 2·x - 2·x + 2·y = 2·y

∴ P - 2·x = 2·y

(P - 2·x)/2 = y

y = (P - 2·x)/2

7 0

2 years ago

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

masya89 [10]

Answer:

$40\pi \ m^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

In this problem we have

$r=10\ m$

Substitute and find the area

$A=\pi (10)^{2}=100 \pi\ m^{2}$

Remember that

$360\°$ subtends the area of complete circle

by proportion

Find the area of the shaded regions

The central angle of the shaded regions is equal to $2*72\°=144\°$

$\frac{100\pi }{360} \frac{m^{2}}{degrees} =\frac{x }{144} \frac{m^{2}}{degrees} \\ \\x=144*100\pi /360\\ \\ x=40\pi \ m^{2}$

6 0

3 years ago

Solve the equation<br> 5x = 20<br> X=. Pls helps fast test due soon! lol

hodyreva [135]

Answer:

x=4

Step-by-step explanation:

8 0

3 years ago

If f(x) = 2x2 +5/(x-2), complete the following statement:

faust18 [17]

For this case we have the following function:

$f (x) = 2x ^ 2 + \frac {5} {x-2}$

By definition, we have that the domain of a function is given by all the values for which the function is defined. The given function is not defined when the denominator is zero.

So:

$x-2 = 0\\x = 2$

Thus, the function is not defined at $x = 2.$

The domain is given by all real numbers except 2.

Answer:

The domain is given by all real numbers except 2.

3 0

3 years ago

The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between (for example: 1, 2

Ann [662]

Answer:

9, 10

Step-by-step explanation:

9² = 81

10² = 100

3 0

3 years ago