Answer:
B. 1/m¹⁸
Step-by-step explanation:
To simplify the equation, we start with the values inside the brackets.
Therefore m⁻¹m⁵ results to m⁴.
This is because the sign between the m⁻¹ and m⁵ is multiplication, and when multiplying figures that have a similar base, we add the indices.
that is, -1+5=4
then we divide m⁴ by m⁻², that is, m⁴/m⁻²=m⁶
To divide figures that have the same base we subtract the powers.
That is, 4-(-2)=6
the resulting expression from inside the brackets will be (m⁶)³ which results to m⁻¹⁸ which is the same as 1/m¹⁸
Answer:
Step-by-step explanation:
The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.
Part A)
we know that
<span>scale ----------> inch/4 feet=0.25 in/ft
</span>[scale]=[scale drawing]/[actual]
[actual]=[scale drawing]/[scale]
for <span>length --------> 4 1/2 in ---------> 4.5 in (</span>scale drawing)
[actual]=[4.5]/[0.25]=18 ft
for <span>width ---------> 3 3/8 in</span> ---> (3*8+3)/8 ---> 27/8 in (scale drawing)
[actual]=[27/8]/[0.25]=13.5 ft
the answer part A is
length actual <span>kitchen floor is 18 ft
</span>width actual kitchen floor is 13.5 ft
Part B)
the area of one square in the actual=(1/2)*(1/2)=0.25 ft²
total area gray tiles=0.25*14=3.5 ft²
total area white tiles=0.25*10=2.5 ft²
find <span>how many tiles 2 in by 2 in of each color will he need
1ft</span>²-------------> 144 in²
gray tiles
3.5 ft²---------------> 3.5*144=504 in²
[tiles 2 in by 2 in gray]=504/(2*2)=126 gray tiles
white tiles
2.5 ft²---------------> 2.5*144=360 in²
[tiles 2 in by 2 in white]=360/(2*2)=90 white tiles
the answer Part B) is
126 gray tiles
90 white tiles
Answer:
Step-by-step explanation:
B. Line graph A line graph is often the most effective format for illustrating a relationship between two variables that are both changing.
