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ANTONII [103]
3 years ago
8

(9/10 - 2/5)-2/5(1/2) to the second power

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0
<span>(1/2) to the second power means (1/2)^2. So we need to solve.</span><span>
(9/10 - 2/5)-2/5(1/2)^2=(9/10-4/10)-2*/5*4=5/10-2/20=10/20-2/20=8/20=4/10=0.4</span>
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I NEED URGENT ASSISTANCE
Nata [24]

Answer:

<em>8 C sometimes</em>

<em>9 64x^8 y^11</em>

<em>10 c 1.28r^2/ t^9</em>

Step-by-step explanation:

<u>Algebraic Operations </u>

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

<em>Answer: C sometimes </em>

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
What is the sum of radical 28and radical 63
miv72 [106K]

Answer:

91 radical

Step-by-step explanation:

because because two radicals make a radical and when you add those numbers together there 91 so 91 radical

8 0
3 years ago
The lines a and b intersect at point C.<br><br> What is the value of y?
Amanda [17]

Using the definition of vertical angles, the value of z is: 15.

<h3>Vertical Angles Pair</h3>

The two pairs of opposite angles formed when two straight lines intersect are called vertical angles, and are therefore congruent to each other.

Thus:

2z + 10 = 40

2z = 40 - 10

2z = 30

z = 30/2

z = 15

Therefore, using the definition of vertical angles, the value of z is: 15.

Learn more about vertical angles on:

brainly.com/question/1673457

7 0
3 years ago
Read 2 more answers
How to round 106.327 to nearest hundredths explain
scoray [572]

Answer:

106.33

Step-by-step explanation:

after decimal you have .3 tenths 2 hundredths 7 thousandths

to round to the nearest hundredths look at thousandths 7 becasuse is greater then 5 then you round up

106.327 is rounded to 106.33

8 0
3 years ago
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which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11?
gtnhenbr [62]
The graph of y = f(x) will shift down 11 units.
3 0
3 years ago
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