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Dafna11 [192]
3 years ago
13

Which of the following best describes the number shown below?

Mathematics
1 answer:
natita [175]3 years ago
4 0

Answer:

Step-by-step explanation:

0.898989..... is a rational number because it has a terminating decimals

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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
The measure of angle ABD is 105º. The measure of angle ABC is 75º.
MakcuM [25]

If we know that the WHOLE angle added is 105 and only part is 75 you need to subtract the whole angle and subtract from part of the whole angle.

105-75=30. You get 30 And that’s you answer!

Picture to help with your understanding.

5 0
3 years ago
These figures are similar. The area of one is given. Find the area of the other. PLZ HELP
stellarik [79]

Answer:

12 in squared

Step-by-step explanation:

Since the side on the bigger figure is 6 and the smaller figure‘s side is 3, that means the smaller figure is half the size of the big figure.

So.. 24 divided by 2 is 12

6 0
3 years ago
The measures of the angles of a triangle are in a ratio of 7:9:10. Find the measures of the angles of the triangle
Brut [27]
So all the angles in total are going to be 180 degrees.
7+9+10 = 18 (parts at all)
180/18=10 (1 part of the ratio)
Than to find all of the angles we multiply 1 part by 7, 9 and 10 separately
10*7= 70 degrees (1st angle)
10*9=90 degrees (2nd angle)
10*10=100 degrees (3rd angle)
Answer: 70, 90, 100
6 0
3 years ago
an architects compensation package includes the total cost of a 250 per month health insurance plan,the total cost of per month
Stolb23 [73]
The answer is 58,420. If it is asking per year, and it is given in months all you need to do is multiply by 12 . add 250*12 and 35*12 and 55,000 and you get 58,420.
3 0
3 years ago
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