whats the answer to this question pls

Answer:

1. (3x²y³z)²=9x⁴y⁶z²

2. (2m³n⁻⁴)³=8m⁹n⁻¹²

Step-by-step explanation:

Both questions require knowledge of two rules of indices/powers:

(xy)ᵃ=xᵃyᵃ (when numbers multiplied by each other are put to a power, that is equal to the product of each number to that power)

(xᵃ)ᵇ=xᵃᵇ (when a number to a power is put to another power, that is equal to the number to the power of the product of the powers)

1.

(3x²y³z)²

=(3²)(x²)²(y³)²(z²)

=(9)(x²⁽²⁾)(y³⁽²⁾)(z²)

=9x⁴y⁶z²

2.

(2m³n⁻⁴)³

=(2³)(m³)³(n⁻⁴)³

=(8)(m³⁽³⁾)(n⁻⁴⁽³⁾)

=8m⁹n⁻¹²

Hope this helps! :D

Answer:

The equation of line h is [tex]y = \frac{2x}{9} + \frac{5}{3}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Parallel lines:

Parallel lines have the same slope.

Line g:

[tex]y = \frac{2x}{9} + 10[/tex]

Line h:

Parallel to line g, which means that the slope is given by [tex]m = \frac{2}{9}[/tex]

So

[tex]y = \frac{2x}{9} + b[/tex]

Includes the point (-3,-1)

This means that when [tex]x = -3, y = -1[/tex]. We use this to find b. So

[tex]y = \frac{2x}{9} + b[/tex]

[tex]1 = \frac{2(-3)}{9} + b[/tex]

[tex]b = 1 + \frac{2}{3}[/tex]

[tex]b = \frac{5}{3}[/tex]

So, the equation of line h is:

[tex]y = \frac{2x}{9} + \frac{5}{3}[/tex]

Answer:

Choices 3 & 5)reflect ABCD over X axis

                       Dilate ABCD by a scale factor of 2

Answer:

we can get the figure EFGH from the figure ABCD by the following these steps.

Step-by-step explanation:

1) to perform this it dilation, we just have to multiply the X & Y coordinates of the original shape by 2, like this ;

P (x, y)->P' (2x, 2y)

2) reflect

the new points over the x - axis

when we want to reflect a shape over the x - access we just have to invert the sign of the y - coordinate of its points, like this ;

P(x, y)-> P' (x, -y)

when we do this to the points that we got in the previous steps we get ;

A) '(0,0) ->E' (0,0)

B) '(0,4) -> F' (0,-4)

C) '(4,,2) -> C' (4,-2)

D) '(4,0) -> D' (4,0)

as you can see, the points that we got after these transactions correspond to the same points of the figure efgh know that the order in which you perform the transaction doesn't matter you could also have done the reflection and then the dilation.

the sequence of the transaction to get efgh from ABCD is ;

1) Diliate Abcd by a scale factor 2

2) reflect ABCD over the x - axis

Answer:

No

Step-by-step Explaination:

If we add up numbers in one line segment like 15+25 and 10+6 we do not get multiples so the triangle GYK is not similar to BAK

Mark Me As A Brainliest

Step-by-step explanation:

the answer to your question is400 miles

Answer:

Step-by-step explanation:

This is isosceles as 2 sides marked equal and it has 135° angle which is obtuse as is between 90° and 180°

Correct option is

This is right triangle and all sides have different lengths.

Correct option  is

Answer:

23 - (49 - 37)

Step-by-step explanation:

Answer:

1.01

Step-by-step explanation:

Answer:

NSL

Step-by-step explanation:

The angle number which represents an angle adjacent to ∠PSL is interior ∠1.

A transversal is a line that intersects two lines at two different points.

When a transversal intersects two lines at two different points two pairs of interior and exterior angles are formed.

If a transversal intersects two lines that are parallel to each other then the pair of corresponding and alternate angles are of the same measure.

We know adjacent angles share a common side.

In the given diagram ∠PSL is adjacent to ∠KRL because these two angles share a common side which is Line LM.

learn more about the transversal line here :

https://brainly.com/question/17432060

#SPJ2

Answer:

Multiply 7 to 10 then multiply that by 19 theres you answer

Step-by-step explanation:

Answer:

63.25 ft², use the formula then you can find the answer.

Answer:

n = 12.3

Step-by-step explanation:

No prob

Answer:

It takes 12 years

Step-by-step explanation:

Amount(A) = P(1+r(^t

A ==> 170x/100 = x(1+0.045)^t

1.7 = (1.045)^t

Apply ln on both side

ln(1.7) = ln(1.045)^t

ln(1.7) = tln(1.045)

t = ln(1.045)/ln(1.7)

t = 0.53062825106/0.04401688541

t = 12.05510672

t = 12 years

The time it would take any deposit to increase by 70% is 12 years.

The formula that would be used to determine the amount of time needed for a deposit to increase by 70% is:

t = In (FV/PV)  / In(1 + r)

Where:

t = In (1.7) / In(1.045)

t = 12 years

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

brainlist

Step-by-step explanation:

good can you make me brain list

Answer:

41

Step-by-step explanation:

Answer:

The answer is 21.4

Step-by-step explanation:

[tex]area = 3(2 \times 3) + 2 ( \frac{1}{2} \times 2 \times 1.7) \\ = 18 + 3.4 \\ = 21.4[/tex]

Answer:

surface area = 21.4 cm^2

Step-by-step explanation:

both ends = 2x1.7x0.5x2 = 3.4

3 sides = 2x3x3 = 18

18 + 3.4 = 21.4 cm^2

There are only 23=823=8 possible ways to arrange the genders boy/girl, with repetition. Since the probability of boy and girl are equal, the probability of each of these arrangements are also equal. We can therefore count the number of possible "good" answers, and divide by 8.

There are 3 possible ways to have 1 boy, that being "first/second/third child is boy", so the probability of exactly 1 boy is indeed 3838.

Having at most 2 girls is the opposite of having three girls, so since there are only one way of having three girls, there must be 8−1=78−1=7 ways of having at most two girls, so the probability of at most two girls is indeed 78

Answer:

yes, its a linear function

Step-by-step explanation:

g= -2 1/2m+20

Yes it represents a linear function because the  equation takes the idea of y=mx+b.

g= represents gallons of water left

-2 1/2m= is the rate of the water draining, which is the slope, in the linear function.

x= represents the number of minutes

b= represents the start amount of gallons of water.

hope that helps!

it takes mrs. jordan 24 minutes to complete 12 questions.

if she completes each question in 1/2 a minute, then:

1/2 / 12 questions = 24 minutes.

I cup of water with four teasppons

Answer:

13

Step-by-step explanation:

3n+1

putting n=4

3(4)+1

12+1

13

Answer:

x=28

Step-by-step explanation:

Answer:

hello your question lacks some information hence I will provide a more general answer

answer :

The expression is ;  D = a + ar

Step-by-step explanation:

An expression illustrating the total vertical distance travelled by a body from rest ( "spot it was first sighted" ) as quoted in the question. can be written as

D = a + ar

where D = Total vertical distance travelled

           a = start term ( initial height )

           r = common ratio

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

sgnagngfanarmjmwramfanagdhndh

Answer:

-5 - (-12) = 7

Step-by-step explanation:

2, 3 and 5 are all equal to 7 also

Answer:

9(4-n)

Step-by-step explanation:

Hope this helps

Tell me if I'm wrong

Answer:

35000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Answer:

100,000,000,000,000,000,000,000,000,000 x 5 = 500,000,000,000,000,000,000,000,000,000?

Step-by-step explanation:

dont  understand...