The product a number with its square is equal to 8. Find the number.
Answer:
the number is 2
Step-by-step explanation:
Let us assume the number to x.
So, according to the equation:
![\textrm{x}\times\textrm{x}^{2}=8\\ \textrm{x}^{3}=8\\ \textrm{x}=\sqrt[3]{8}\\ \therefore \textrm{x}=2](https://tex.z-dn.net/?f=%5Ctextrm%7Bx%7D%5Ctimes%5Ctextrm%7Bx%7D%5E%7B2%7D%3D8%5C%5C%20%5Ctextrm%7Bx%7D%5E%7B3%7D%3D8%5C%5C%20%5Ctextrm%7Bx%7D%3D%5Csqrt%5B3%5D%7B8%7D%5C%5C%20%5Ctherefore%20%5Ctextrm%7Bx%7D%3D2)
Answer:
Step 1 of 2: Subtract.
Subtract
(
negative 5 over 8
−
5
8
) − (
negative 4 over 3
−
4
3
) =
17 over 24
17
24
Step 1 of 2: Subtract, sub-step a: Subtract a negative.
Subtract a negative
negative 5 over 8
−
5
8
− (
negative 4 over 3
−
4
3
) =
negative 5 over 8
−
5
8
+
4 over 3
4
3
Subtracting a negative is the same as adding a positive.
Step 1 of 2: Subtract, sub-step b: Find common denominator.
Find common denominator
negative 5 over 8
−
5
8
+
4 over 3
4
3
= −
( 5 × 3 ) over ( 8 × 3 )
5 × 3
8 × 3
+
( 4 × 8 ) over ( 3 × 8 )
4 × 8
3 × 8
=
negative 15 over 24
−
15
24
+
32 over 24
32
24
24 is the least common multiple of denominators 8 and 3. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step c: Add.
Add
negative 15 over 24
−
15
24
+
32 over 24
32
24
=
(
negative 15
−15 + 32 ) over 24
negative 15
−15 + 32
24
=
17 over 24
17
24
Answer:I *THINK* its C, BUT IM NOT 100% SURE
Step-by-step explanation:
Answer:
6sin^2(x) = 7 - 5cos(x)
6(1 - cos^2(x)) = 7 - 5cos(x)
6 - 6cos^2(x) = 7 - 5cos(x)
6cos^2(x) + 5cos(x) -1 = 0
(6cos(x) - 1)(cos(x) + 1) = 0
cos(x) = 1/6
x = arccos(1/6)
x = 1.40334825 + 2k*pi, 4.87983706 + 2k*pi
cos(x) = -1
x = pi + 2k*pi