Answer/Step-by-step explanation:
Factor this. GCF=2
2(2cos2x+cos x-1)=0
2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve
2cos x -1=0 Add 1 to both sides
2cos x =1 Divide by 2
cos x =1/2
x=π/3
x=5π/3
cos x+1=0 Subtract 1 from both sides
cos x=-1
<u><em>x = π</em></u>
<u><em></em></u>
Answer:
16 v^3 w^7
Step-by-step explanation:
Simplify the following:
4 v^3 w (-2 w^3)^2
Hint: | Distribute exponents over products in (-2 w^3)^2.
Multiply each exponent in -2 w^3 by 2:
4 v^3 w×(-2)^2 w^(2×3)
Hint: | Multiply 2 and 3 together.
2×3 = 6:
4×(-2)^2 v^3 w w^6
Hint: | Evaluate (-2)^2.
(-2)^2 = 4:
4×4 v^3 w w^6
Hint: | Combine products of like terms.
4 v^3 w×4 w^6 = 4×4 v^3 w^(1 + 6):
4×4 v^3 w^(1 + 6)
Hint: | Evaluate 1 + 6.
1 + 6 = 7:
4×4 v^3 w^7
Hint: | Multiply 4 and 4 together.
4×4 = 16:
Answer: 16 v^3 w^7
Given:
Dimension of box is 7 in, 13 in and 4 in.
To find:
Area of the smallest piece of paper
Solution:
Area of the rectangular box = length × width × height
= 7 × 13 × 4
Area of the rectangular box = 364 in³
Area of the rectangular box = Area of the gift paper to wrap the box
Therefore the area of the smallest piece of paper is 364 in³.
You will need 3 to 4 yards of concrete for a footer that's 1 foot wide and 12 inches deep.
The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )² is .
Hence, option B is the correct answer.
<h3>What is the simplified form of the expression?</h3>
Given the expression;
( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )²
First, we use the properties of exponents.
( 2⁻²ˣ⁻³ × 3⁴ˣ⁻³ ) × ( 2⁻³ˣ² × 3²ˣ² )
( 2⁶ × 3⁻¹² ) × ( 2⁻⁶ × 3⁴ )
We take out the parentheses, such that;
2⁶ × 2⁻⁶ × 3⁻¹² × 3⁴
<em>Note that: </em>2⁶ × 2⁻⁶ = 1, as
Hence, we have
1 × 3⁻¹² × 3⁴
3⁻¹²⁺4
3⁻⁸
Next, we express with positive exponent
The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )² is .
Hence, option B is the correct answer.
Learn more on how to simplify expressions here: brainly.com/question/403991
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