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3 years ago

Is the expression 9 divided by 4 the same as 1/9 x 1/4

Mathematics

1 answer:

Alborosie3 years ago

4 0

Answer: They are not the same.

Step-by-step explanation:

9 divided by 4 = 2.25 = 2 1/4

1/9 * 1/4 = 1/36

1/36 = 0.027...

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I NEED URGENT ASSISTANCE

Nata [24]

Answer:

8 C sometimes

9 64x^8 y^11

10 c 1.28r^2/ t^9

Step-by-step explanation:

Algebraic Operations

Some basic rules must be fresh in our minds when trying to simplify complex algebraic expressions. For example, the power rule respect to the product or quotient:

$\displaystyle \left(\frac{x^n.y^m}{z^p}\right)^q= \frac{x^{qn}.y^{qm}}{z^{qp}}$

$\displaystyle \frac{x^n.x^q}{x^p}= x^{n+q-p}$

$\displaystyle x^{-n}=\frac{1}{x^n}$

Let's face the questions at hand

8. A number is raised to a negative exponent is negative?

Following the expressions recalled above, let's pick the expression

$\displaystyle 3^{-2}=\frac{1}{3^2}=\frac{1}{9}$

This is a negative power resulting in a positive number

Now we pick

$\displaystyle (-2)^{-3}=\frac{1}{(-2)^3}=-\frac{1}{8}$

This time, the negative power leads to a negative result, so it doesn't matter the sign of exponent to determine the sign of the result

Answer: C sometimes

9 simplify(4xy^2)^3(xy)^5

$(4xy^2)^3(xy)^5=4^3x^3(y^2)^3x^5y^5$

$=64x^3y^6x^5y^5$

$=64x^8y^{11}$

10 simplify(2t^-3)^3(0.4r)^2

$(2t^{-3})^3(0.4r)^2=2^3(t^{-3})^30.4^2r^2$

$=8t^{-9} 0.16 r^2$

$=1.28t^{-9} r^2$

$\displaystyle \frac{1.28 r^2}{t^9}$

7 0

3 years ago

ada recorded the thickness a of a set of books. This line plot shows her results. Jada stacked the books that were 112 inches th

Sergeu [11.5K]

Good game play later

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2 years ago

Identify the intercepts of the circle (x-5)^2+(y+12)^2=169

Allisa [31]

Step-by-step explanation:

The x-intercept is the point where the graph touches the x-axis, which means y=0. So let's set y=0 in your equation, and we receive

(x-5)^2 + (0+12)^ = 169

which means

(x-5)^2 = 25

Solve this, and get x=10 or x=0.

This means the x-intercepts are (10,0) and (0,0).

Try doing the same for y.

3 0

3 years ago

Read 2 more answers

In one flip of 10 unbiased coins, what is the probability of getting 8 or more heads?

Maru [420]

Correct Answer: 0.0625

6 0

3 years ago

Maya wants to buy a piano. The piano measures 19/4 feet long. She has a space 5 feet long for the piano in her house. Does she h

Sophie [7]

Yes, 19/4 is only 4/3/4 so you still have 1/4 ft left to fill

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3 years ago