Mathematics High School

Learning task 2

A. Simplify

1.) (-m^4)^3

2.) (10c2/2d^3)^2

3.) (3a^2bc^3)^3

4.) (2x^3y^2z)(3x^2yz^2)

5.) (3m^2n^3/xy^2)^2 (x^3yz^2/2mn^2)^3

Answers

Answer 1

A) Answer:

[tex] - m ^{12} [/tex]

B) Answer:

[tex] \frac{25 {c}^{4} }{ {d}^{6} } [/tex]

C) Answer:.

[tex]27 {a}^{6} b ^{3}c^{9} [/tex]

D) Answer:

[tex] {6x}^{5} {y}^{3} {z}^{3} [/tex]

E) Answer:

[tex] \frac{ {9m}^{7} {n}^{12} {y}^{7} {x}^{7} {z}^{6} }{8} [/tex]

Related Questions

Two angles are complementary. The measure of one angle is 3° more than one-half of the measure of the other. Find the measure of each angle.

Answers

Answer:

doge

Step-by-step explanation:

EAnswers avatar

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what is 2+2+3+4+4+4+4

Answers

Answer:

Step-by-step explanation:

Answer:

Explanation:

hope this helps

3.(x + 2) + (2x + 3) = 23

Answers

Answer:

x = 6

Step-by-step explanation:

(x + 2) + (2x + 3) = 23

Combine like terms

3x +5 = 23

Subtract 5 from each side

3x+5-5 = 23-5

3x = 18

Divide each side by 3

3x/3 = 18/3

x = 6

Answer:

x = 6

Step-by-step explanation:

1. Remove parentheses where unneeded. x + 2 + 2x + 3 = 23

2. Add constants. x + 5 + 2x = 23

3. Combine like terms. 3x + 5 = 23

4. Subtract "5" from the constants on both sides of the equation. 3x = 18

5. Divide both sides by 3. 3x/3 = 18/3

Answer:

the y-intercept is (0,21)

Answer:

(0,21)

Step-by-step explanation:

If you set x to 0, you can solve for the y-intercept. Plugging in 0 in this equation will give you 21. Therefore, the y-intercept is at (0,21).

2/3 of a class are girls.

Note: Give your answers
in their simplest forms.

a) What is the ratio girls to boys in the class?

b) What is the ratio boys to girls in the class?

!!!

Answers

Answer:

a. 2,1

b. 1,2

Step-by-step explanation:

that's the answerrrr

can someone please help me what’s the answer

Answers

Answer:

1,5Step-by-step explanation:

Answer:

Slope: 4

Step-by-step explanation:

I gave you the slope of the graph. The slope is rise/run. The rise is 4, and the run is 1. So you get 4/1 or 4. The graph is positive because the line rises left to right.

Hope it helps!

A bookstore sells art books for $25 each. There are 16 books at the store. Identify the graph that represents this situation.

Answers

Step-by-step explanation:

I believe its the one on the top of the second picture because if there is only 16 books they can sell then thats the only one that makes sence hope this helped

Graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A bookstore sells art books for $25 each. There are 16 books at the store.

Let x be the total number of books sold and y be the total amount earned:

The linear equation can be framed as follows:

y = 25x

After plotting the graph of the above linear equation we will get a graph exactly the same as mentioned in the graph third.

Thus, the graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

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P, Q, R and S are four points on a circle.

PTR and QTS are straight lines.

Triangle PTS is an equilateral triangle.

Prove that triangle PQR and

triangle SRQ are congruent.

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that Triangle PTS has all sides with equal lengths, it is considered is an equilateral triangle.

Similarly, with < TPS and <TSP aare both equilateral triangle because they have equal length.

Therefore, ∆ PQS and ∆ SRP are congruent based on side-angle-side theorem.

Similarly, given the fact that their congruent sides of congruent triangles are congruent, both Segment PQ is congruent to segment SR.

Also, Segment PR is congruent to segment SQ as a result of congruent sides of the congruent triangles are congruent.

Lastly, the ∆ PQR and ∆ SRQ are congruent based on the side-side-side theorem.

Factorize i) 6y² - 24 y

Answers

Answer:

6y (y + 4)

(pick out the common factors) \

hope its righ!

Hope it helps you ❤️. ❤️❤️❤️❤️

The length of a rectangle is 3 m longer than its width. If the perimeter of the rectangle is 26 m , find its area.

Answers

Answer:

40 m²

Step-by-step explanation:

First, find the perimeter. Using the perimeter formula, p = 2l + 2w, solve for the side lengths of the length and width.

Let w represent the width. The length can be represented by w + 3, since the length is 3 m longer than the width.

Plug in 26 as the perimeter, and plug in w and w + 3 for the width and length:

p = 2l + 2w

26 = 2(w + 3) + 2w

Simplify and solve for w:

26 = 2w + 6 + 2w

26 = 4w + 6

20 = 4w

5 = w

Find the length by adding 3 to this:

5 + 3

= 8

Now, find the area using the area formula, A = lw

Plug in the length and width:

A = lw

A = 8(5)

A = 40

So, the area of the rectangle is 40 m²

Cars with ABS or anti-lock brakes do not leave skid marks.
O
A. True
B. False

Answers

false is the correct answer

Cars with ABS or anti-lock brakes do not leave skid marks is a false statement.

What are Automobiles?

Four-wheeled vehicle designed primarily for passenger transportation and commonly propelled by an internal-combustion engine using a volatile fuel.

Cars with ABS or anti-lock brakes are designed to prevent skidding during sudden braking.

However, it is not entirely true that they do not leave skid marks.

Skid marks can still be present, especially in certain situations such as emergency braking on a wet or slippery road surface.

ABS helps to prevent the wheels from locking up, which can reduce the length of skid marks, but they may still be present to some extent.

Therefore, it is not accurate to say that cars with ABS or anti-lock brakes do not leave skid marks, so it is false.

To learn more on Automobiles click:

https://brainly.com/question/1193772

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,
3*. PQRS is an isosceles trapezium
I(PQ) = 7 cm. seg PM 1 seg SR,
I(SM) = 3 cm,
Distance between two parallel
sides is 4 cm, find the area of
PQRS

Answers

Answer:

10 cm is your answer right answer

1,2,3,4,5,7,7,7,8,8
What is the median

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What does (4+1)(x+2x) simplify to?

Answers

Answer:

15x

Step-by-step explanation:

5 (x+2x)

5 (3x)

15x

Answer:

15x

Step-by-step explanation:

4x + 8x + x + 2x

= 15x

Find the slope of the line below.

Answers

Answer:

slope = -3

hope this helps :)

Answer:

-9/3 = simplify it is -3

Step-by-step explanation:

go to the dot and go up 9 and to the left 3 and put the rise over the run like this -9/3 and if you simplify it it will be -3 very ez

have a nice day.

please help, find the upper limit of the third class interval

Answers

Answer:

the upper limit of the third class interval

= d. 19

Step-by-step explanation:

third class interval

=16 - 19

Ali and billy ran around a race track. How many more metres did Ali ran than billy in one lap? (Find perimeter)

Answers

Answer:

Ali ran 25.13 m more than bily

Step-by-step explanation:

From the diagram, we can see that bully runs with the inner track line while Ali runs with the outer track line.

Thus;

Diameter of inner semi circle = 20 m

Diameter of outer semi circle = 20 + 4 + 4 = 28 m

Perimeter of inner semi circle = πD/2 = 10π

Perimeter of outer semi circle = πD/2 = 14π

Now, perimeter of Billy = 80 + 80 + 10π + 10π = 222.83 m

Perimeter of Ali = 80 + 80 + 14π + 14π = 247.96 m

Thus, in one lap, difference in distance between Ali and billy = 247.96 - 222.83 = 25.13 m

find this ok. do not wrong answers I will report it

Answers

Answer:

your answer will be 13/5(x-5)

Step-by-step explanation:

hope it helps bye

Answer: 13 /5x−25

Step-by-step explanation: 8 /5x−25 − 6 /30−6x

-78x+390 /−30x2+300x−750

−13x+65 /−5x^2+50x−125

13(−x+5) /5(−x+5)(x−5)

13 /5x−25

Perry finished a 100-meter race in 7/8 of a minute. The winner of the race used 14/15 of Perry's time to finish the race. How much time did the winner use to finish the race?

Answers

Answer:

49 seconds

Step-by-step explanation:

The time perry used is 7/8 of a minute

a minute equals to 60 seconds

so the time perry used is 7/8 x 60 = 52.5 seconds

The winner used 14/15 of 52.5 seconds (perrys time)

so 14/15 x 52.5 = 49 seconds

Answer:

56 is the answer

Step-by-step explanation:

bcz sum is equal to 90

hence 90-34 = 56

Since a rectangle has 90 degrees on each side, 90 - 34 = 56 so the correct answer would be B

Y = 4X+3 and y= 2X+7 solve by using substitution

Answers

Answer:

x=2 y=11

Step-by-step explanation:

math

Using the 28/36 ratio, determine the maximum allowable recurring debt for someone with a monthly income of $3,200. a. $256 b. $512 c. $640 d. $896

Answers

Answer:

a. $256

Step-by-step explanation:

The computation of the maximum allowable recurring debt is shown below:

Given ratio = 28:36

And the monthly income is $3,200

So the maximum expense on housing = 28% of $3,200 = $896

And, the maximum expense on total debt = 36% of $3,200 = $1,152

Now the maximum alloweable recurring debt is

= $1,152 - $896

= $256

Answer:

the answer is A

Step-by-step explanation:

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Learning task 2 A. Simplify 1.) (-m^4)^3 2.) (10c2/2d^3)^23.) (3a^2bc^3)^34.) (2x^3y^2z)(3x^2yz^2)5.) (3m^2n^3/xy^2)^2 (x^3yz^2/2mn^2)^3​

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Learning task 2

A. Simplify

1.) (-m^4)^3

2.) (10c2/2d^3)^2

3.) (3a^2bc^3)^3

4.) (2x^3y^2z)(3x^2yz^2)

5.) (3m^2n^3/xy^2)^2 (x^3yz^2/2mn^2)^3