The third choice, 4x²+18x+0.25=0, is correct.
The frame will have the same thickness on both sides of the mirror. Therefore we add 5+x+x to get the total length, and we have 4+x+x to get the total width.
The area is found by multiplying the total width and total length:
A=(5+x+x)(4+x+x)
A=(5+2x)(4+2x)
Multiplying the binomials, we have:
A=5*4+5*2x+2x*4+2x*2x
A=20+10x+8x+4x²
A=20+18x+4x²
We know that the area is 19.75:
19.75=20+18x+4x²
We need quadratics set equal to 0, so subtract 19.75 from each side:
19.75-19.75 = 20+18x+4x²-19.75
0=0.25+18x+4x²
In standard form, it will be:
4x²+18x+0.25=0
Using the order of operations (PEMDAS)...
23 · 1 - 1 = ?
23 - 1 = ?
22
The answer is 22
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
Answer:
8.533333
Step-by-step explanation:
9^(−
1/
2
)+25−
1
2
+32^
(3/
5)
= 9
(−1
/2)
+25(−
1
/2)
+32
^(3
/5)
=0.333333+25^(−
1/
2)
+32
^(3
/5)
=0.333333+25
^(−1
/2)
+32
^(3/
5)
=0.333333+0.2+32^
(3/
5)
=0.533333+32
^(3
/5)
=0.533333+8
=8.533333
Answer:
d. 0.4013
Step-by-step explanation:
Half of the area under the normal curve is found to the left of the midpoint, where z=0. For negative values of z, the area under the curve is less than half.
Area under a normal curve is always a positive value between 0 and 1, so will never be negative.
The only value that can be an area in a left-hand tail is 0.4013.
_____
<em>Additional comment</em>
That value corresponds to z ≈ -0.25.
Answer:
25 kilograms
Step-by-step explanation:
