<h2>
Answer:</h2>
or
4 to the 21st over 5 to the 6th.
<h2>
Step-by-step explanation:</h2>
First, we need to write our expression. Let's do it step by step:
<u>4 to the 7th:</u>
<u>5 squared:</u>
<u>4 to the 7th over 5 squared:</u>
<u>4 to the 7th over 5 squared all raised to the 3rd power:</u>
<u>
</u>
Using the law of exponents:
Finally, the answer is 4 to the 21st over 5 to the 6th.
Answer:
it's easy if you're 3 below ground level then it would be -3 and now you just add 12
Step-by-step explanation:
-3+12=9
Answer:
y=6.2 and x=0.4 or (0.4,6.2)
Step-by-step explanation:
Since both expressions are equal to y, we can set them equal to each other and solve for x:
3x+5=8x+3
5=5x+3
2=5x
2/5=x
0.4=x
Now to solve y:
y=8(2/5)+3
y=16/5+3
y=3.2+3
y=6.2
Check answers:
6.2=3(0.4)+5
6.2=1.2+5
6.2=6.2
6.2=8(0.4)+3
6.2=3.2+3
6.2=6.2
Answers work, so y=6.2 and x=0.4 or (0.4,6.2) as an ordered pair
Volume of the prism:
V = B · h, where B stays for the area of the base and h stays for the height of the prism. And we know that d1 = 8, d2 = 6
B = ( d1 · d2 ) / 2 = ( 8 · 6 ) / 2 = 48 / 2 = 24
V = 24 · 16 = 384
Answer:
The volume of the prism is 384 cubic units.
