17.
x = -2 is not a solution of -1 < x < 5 because -2 < -1 (-1 < -2 < 5 FALSE).
18.
m = 5 is a solution of 5 ≤ m because 5 ≤ 5 ( 5 ≤ m → m ≥ 5 greater than 5 or equal 5, 5 is equal 5)
19.
k = 10 is not solution of 2k - 3 < 1 because:
put the value of k to the inequality:
2(10) - 3 < 1
20 - 3 < 1
17 < 1 FALSE
I believe the first group would have 36 and the second group would have 12
Let's solve for x.
x
+
4
y
=
(
14
)
(
3
)
x
+
7
y
Step 1: Add -42x to both sides.
x
+
4
y
+
−
42
x
=
42
x
+
7
y
+
−
42
x
−
41
x
+
4
y
=
7
y
Step 2: Add -4y to both sides.
−
41
x
+
4
y
+
−
4
y
=
7
y
+
−
4
y
−
41
x
=
3
y
Step 3: Divide both sides by -41.
−
41
x
−
41
=
3
y
−
41
x
=
−
3
41
y
Answer:
x
=
−
3
41
y
Sin^(1/2) x cos x - sin^(5/2) cos x
= sin^(1/2) x cos x - sin(1/2)x sin^2 x cos x
factoring we get:
cos x sin^(1/2) x ( 1 - sin^2 x)
Now 1 - sin^2 x = cos^2 x so we have
cos x sin^(1/2) x * cos^2 x
= cos^3 x sqrt sin x
To find the surface are of the base: 8 * 8 = 64/2(becasue its a triangle not a square base) = 32.
To find the surface are of the 3 other faces, 12 * 8 = 96/2 = 48 * 3(for the 3 sides) = 144.
The entire surface area is 176.
